Time bar (total: 6.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 15.6% | 15.6% | 84.3% | 0.1% | 0% | 0% | 0% | 6 |
| 39.1% | 39% | 60.9% | 0.1% | 0% | 0% | 0% | 7 |
| 51.6% | 51.5% | 48.4% | 0.1% | 0% | 0% | 0% | 8 |
| 66% | 66% | 34% | 0.1% | 0% | 0% | 0% | 9 |
| 73.8% | 73.8% | 26.1% | 0.1% | 0% | 0% | 0% | 10 |
| 82.1% | 82% | 17.9% | 0.1% | 0% | 0% | 0% | 11 |
| 86.4% | 86.3% | 13.6% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 10 to 6 computations (40% saved)
| 905.0ms | 8256× | body | 256 | valid |
| 2× | egg-herbie |
| 1022× | fma-neg_binary64 |
| 488× | div-sub_binary64 |
| 482× | times-frac_binary64 |
| 312× | associate-/l*_binary64 |
| 290× | cancel-sign-sub-inv_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 22 | 20 |
| 2 | 34 | 20 |
| 3 | 54 | 20 |
| 4 | 104 | 20 |
| 5 | 184 | 20 |
| 6 | 311 | 20 |
| 7 | 676 | 20 |
| 8 | 1937 | 20 |
| 9 | 4266 | 20 |
| 10 | 5121 | 20 |
| 11 | 5198 | 20 |
| 12 | 5276 | 20 |
| 13 | 5306 | 20 |
| 14 | 5330 | 20 |
| 15 | 5360 | 20 |
| 16 | 5386 | 20 |
| 17 | 5560 | 20 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(/.f64 (-.f64 x y) (+.f64 x y)) |
(/.f64 (-.f64 y x) (+.f64 y x)) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (+.f64 x y)) |
(/.f64 (-.f64 y x) (+.f64 y x)) |
(/.f64 (-.f64 y x) (+.f64 x y)) |
Compiled 11 to 7 computations (36.4% saved)
| 1× | egg-herbie |
| 801× | fma-def_binary64 |
| 511× | fma-neg_binary64 |
| 363× | times-frac_binary64 |
| 329× | div-sub_binary64 |
| 148× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 10 |
| 1 | 12 | 10 |
| 2 | 19 | 10 |
| 3 | 30 | 10 |
| 4 | 57 | 10 |
| 5 | 93 | 10 |
| 6 | 154 | 10 |
| 7 | 244 | 10 |
| 8 | 442 | 10 |
| 9 | 1007 | 10 |
| 10 | 2441 | 10 |
| 11 | 3238 | 10 |
| 12 | 3991 | 10 |
| 13 | 4038 | 10 |
| 14 | 4060 | 10 |
| 15 | 4080 | 10 |
| 16 | 4080 | 10 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 x y) (+.f64 x y)) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (+.f64 x y)) |
Compiled 9 to 5 computations (44.4% 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 |
|---|---|---|
| ▶ | 0.1b | (/.f64 (-.f64 x y) (+.f64 x y)) |
Compiled 9 to 5 computations (44.4% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (-.f64 x y) (+.f64 x y)) |
Compiled 17 to 5 computations (70.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 x y) (+.f64 x y)) |
| 1.0ms | y | @ | -inf | (/.f64 (-.f64 x y) (+.f64 x y)) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 x y) (+.f64 x y)) |
| 1.0ms | y | @ | inf | (/.f64 (-.f64 x y) (+.f64 x y)) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 x y) (+.f64 x y)) |
| 1× | batch-egg-rewrite |
| 959× | pow1_binary64 |
| 898× | add-log-exp_binary64 |
| 898× | log1p-expm1-u_binary64 |
| 898× | expm1-log1p-u_binary64 |
| 78× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 10 |
| 1 | 143 | 10 |
| 2 | 2300 | 10 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (+.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x y)) (neg.f64 (/.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (/.f64 1 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 2)) (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x 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 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x y)) (-.f64 x 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)) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.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 (-.f64 x y) (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x y))) (/.f64 (-.f64 x y) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 (+.f64 x y))) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 x y) (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (+.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 x y)))))))) |
| 1× | egg-herbie |
| 546× | times-frac_binary64 |
| 477× | fma-def_binary64 |
| 360× | div-sub_binary64 |
| 325× | sub-neg_binary64 |
| 320× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 507 |
| 1 | 256 | 444 |
| 2 | 902 | 354 |
| 3 | 4610 | 354 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (*.f64 2 (/.f64 x y)) 1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) 1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) (/.f64 y x)) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 y x)) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) (/.f64 y x)) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 y x)) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 y x))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))) |
-1 |
(-.f64 (/.f64 x y) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) x) (pow.f64 y 2)))) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) x) (pow.f64 y 2))))) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2))) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) (pow.f64 x 2)) (pow.f64 y 3))) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2)))) 1) |
| Outputs |
|---|
-1 |
(-.f64 (*.f64 2 (/.f64 x y)) 1) |
(fma.f64 2 (/.f64 x y) -1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) 1) |
(+.f64 (/.f64 (*.f64 -2 (*.f64 x x)) (*.f64 y y)) (fma.f64 2 (/.f64 x y) -1)) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1)) |
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 (*.f64 (/.f64 x y) -2) 2))) |
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1) |
(+.f64 (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) -1) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1)) |
(+.f64 (*.f64 (/.f64 x y) (+.f64 (*.f64 (/.f64 x y) -2) 2)) (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1)) |
(+.f64 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2))) (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1)) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x)) |
(+.f64 1 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 y x))) |
(-.f64 (-.f64 1 (/.f64 y x)) (/.f64 y x)) |
(fma.f64 -2 (/.f64 y x) 1) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) (/.f64 y x)) |
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 (neg.f64 y) x)) (/.f64 y x))) |
(-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (*.f64 -2 (/.f64 y x)))) (/.f64 y x)) (/.f64 y x)) |
(fma.f64 2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -2 (/.f64 y x) 1)) |
(fma.f64 2 (/.f64 y (*.f64 x (/.f64 x y))) (fma.f64 -2 (/.f64 y x) 1)) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 y x)) |
(+.f64 (/.f64 (*.f64 (*.f64 y y) (-.f64 (neg.f64 y) y)) (pow.f64 x 3)) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 (neg.f64 y) x)) (/.f64 y x)))) |
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (*.f64 -2 (/.f64 y x)))) (/.f64 y x)) (-.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x))) |
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -2 (/.f64 y x) 1))) |
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (/.f64 y (*.f64 x (/.f64 x y))) (fma.f64 -2 (/.f64 y x) 1))) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x)) |
(+.f64 1 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 y x))) |
(-.f64 (-.f64 1 (/.f64 y x)) (/.f64 y x)) |
(fma.f64 -2 (/.f64 y x) 1) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) (/.f64 y x)) |
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 (neg.f64 y) x)) (/.f64 y x))) |
(-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (*.f64 -2 (/.f64 y x)))) (/.f64 y x)) (/.f64 y x)) |
(fma.f64 2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -2 (/.f64 y x) 1)) |
(fma.f64 2 (/.f64 y (*.f64 x (/.f64 x y))) (fma.f64 -2 (/.f64 y x) 1)) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 y x)) |
(+.f64 (/.f64 (*.f64 (*.f64 y y) (-.f64 (neg.f64 y) y)) (pow.f64 x 3)) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 (neg.f64 y) x)) (/.f64 y x)))) |
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (*.f64 -2 (/.f64 y x)))) (/.f64 y x)) (-.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x))) |
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -2 (/.f64 y x) 1))) |
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (/.f64 y (*.f64 x (/.f64 x y))) (fma.f64 -2 (/.f64 y x) 1))) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 y x))) |
(+.f64 1 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 y x))) |
(-.f64 (-.f64 1 (/.f64 y x)) (/.f64 y x)) |
(fma.f64 -2 (/.f64 y x) 1) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 (neg.f64 y) x)) (/.f64 y x))) |
(-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (*.f64 -2 (/.f64 y x)))) (/.f64 y x)) (/.f64 y x)) |
(fma.f64 2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -2 (/.f64 y x) 1)) |
(fma.f64 2 (/.f64 y (*.f64 x (/.f64 x y))) (fma.f64 -2 (/.f64 y x) 1)) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 y y) (-.f64 (neg.f64 y) y)) (pow.f64 x 3)) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 (neg.f64 y) x)) (/.f64 y x)))) |
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (*.f64 -2 (/.f64 y x)))) (/.f64 y x)) (-.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x))) |
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -2 (/.f64 y x) 1))) |
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (/.f64 y (*.f64 x (/.f64 x y))) (fma.f64 -2 (/.f64 y x) 1))) |
-1 |
(-.f64 (/.f64 x y) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(fma.f64 2 (/.f64 x y) -1) |
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) x) (pow.f64 y 2)))) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 (*.f64 -2 (*.f64 x x)) (*.f64 y y)) (fma.f64 2 (/.f64 x y) -1)) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1)) |
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 (*.f64 (/.f64 x y) -2) 2))) |
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) x) (pow.f64 y 2))))) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) -1) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1)) |
(+.f64 (*.f64 (/.f64 x y) (+.f64 (*.f64 (/.f64 x y) -2) 2)) (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1)) |
(+.f64 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2))) (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1)) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) 1) |
(fma.f64 2 (/.f64 x y) -1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2))) 1) |
(+.f64 (/.f64 (*.f64 -2 (*.f64 x x)) (*.f64 y y)) (fma.f64 2 (/.f64 x y) -1)) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1)) |
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 (*.f64 (/.f64 x y) -2) 2))) |
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) (pow.f64 x 2)) (pow.f64 y 3))) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2)))) 1) |
(+.f64 (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) -1) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1)) |
(+.f64 (*.f64 (/.f64 x y) (+.f64 (*.f64 (/.f64 x y) -2) 2)) (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1)) |
(+.f64 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2))) (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1)) |
Compiled 879 to 400 computations (54.5% saved)
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 47 | 12 | 59 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 47 | 13 | 60 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (-.f64 x y) (+.f64 x y)) |
| ▶ | 0.1b | (-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y))) |
| 31.0b | (-.f64 (*.f64 2 (/.f64 x y)) 1) | |
| ▶ | 32.4b | (+.f64 1 (*.f64 -2 (/.f64 y x))) |
| 31.5b | (+.f64 -1 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))) | |
| ▶ | 31.9b | (*.f64 (/.f64 (-.f64 x y) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y)) |
| ▶ | 33.0b | (*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y))) |
| 1.4b | (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 (-.f64 x y) (cbrt.f64 (+.f64 x y)))) | |
| ▶ | 0.2b | (*.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y)) |
| 0.1b | (log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))) | |
| 42.8b | (cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (+.f64 x y) 3))) | |
| 33.1b | 1 | |
| 32.0b | -1 |
Compiled 285 to 175 computations (38.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 x (+.f64 x y)) |
| ✓ | 0.0b | (/.f64 y (+.f64 x y)) |
| ✓ | 0.1b | (-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y))) |
Compiled 28 to 6 computations (78.6% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y))) |
| 1.0ms | y | @ | -inf | (-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y))) |
| 1.0ms | x | @ | 0 | (-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y))) |
| 1.0ms | y | @ | inf | (-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y))) |
| 1.0ms | x | @ | -inf | (-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y))) |
| 1× | batch-egg-rewrite |
| 514× | log-prod_binary64 |
| 498× | fma-def_binary64 |
| 387× | pow-prod-down_binary64 |
| 259× | pow2_binary64 |
| 256× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 24 |
| 1 | 175 | 24 |
| 2 | 3085 | 24 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y))) |
(/.f64 y (+.f64 x y)) |
(/.f64 x (+.f64 x y)) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (*.f64 x y) (pow.f64 (+.f64 x y) 2))) (exp.f64 (pow.f64 (/.f64 y (+.f64 x y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 y (+.f64 x y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y (+.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 x y) y) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (/.f64 1 (+.f64 x y)) (/.f64 y (+.f64 x y))) (pow.f64 (/.f64 y (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 (/.f64 1 (+.f64 x y)) (/.f64 y (+.f64 x y))) (/.f64 (*.f64 x y) (pow.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)) (pow.f64 (/.f64 y (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y)) (pow.f64 (/.f64 y (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y (+.f64 x y)) (/.f64 y (+.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (/.f64 y (+.f64 x y)) 2) (/.f64 (*.f64 x y) (pow.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (*.f64 x y) (pow.f64 (+.f64 x y) 2)) (pow.f64 (/.f64 y (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> 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(/.f64 (*.f64 x y) (pow.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x (+.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 x y))) 2)) (cbrt.f64 (/.f64 y (+.f64 x y))) (pow.f64 (/.f64 y (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x (+.f64 x y)) (sqrt.f64 (/.f64 y (+.f64 x y)))) (sqrt.f64 (/.f64 y (+.f64 x y))) (pow.f64 (/.f64 y (+.f64 x y)) 2)))))) |
((#(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 (exp.f64 (/.f64 x (+.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.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 1 (+.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 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.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 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) (/.f64 x (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x y) -1/2) (/.f64 x (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x y)) 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 x y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) 2) 1/2)))) (#(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 (pow.f64 (/.f64 x (+.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 x y) x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) 1))))) (#(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 (*.f64 3 (log.f64 (/.f64 x (+.f64 x y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) -1)))))) |
| 1× | egg-herbie |
| 544× | fma-def_binary64 |
| 499× | sub-neg_binary64 |
| 409× | times-frac_binary64 |
| 379× | distribute-rgt-neg-in_binary64 |
| 295× | distribute-neg-frac_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 1451 |
| 1 | 344 | 1343 |
| 2 | 1066 | 1140 |
| 3 | 5085 | 1098 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (*.f64 2 (/.f64 x y)) 1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) 1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 y x))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 y (*.f64 -1 y)) x))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 y (*.f64 -1 y)) x)))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 y (*.f64 -1 y)) x))))) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 y x))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 x y)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.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 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.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 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.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 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))) |
(/.f64 x y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 y x))) |
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x)))) |
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 y x))) |
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x)))) |
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 y x))) |
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x)))) |
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))) |
(/.f64 x y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
(/.f64 x y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
| Outputs |
|---|
-1 |
(-.f64 (*.f64 2 (/.f64 x y)) 1) |
(fma.f64 2 (/.f64 x y) -1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) 1) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 2 (/.f64 x y) -1)) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1)) |
(fma.f64 2 (/.f64 x y) (fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)) |
(fma.f64 2 (/.f64 x y) (fma.f64 -2 (*.f64 x (/.f64 x (*.f64 y y))) -1)) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1) |
(+.f64 (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) -1) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1)) |
(fma.f64 2 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)) |
(fma.f64 2 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 -2 (*.f64 x (/.f64 x (*.f64 y y))) -1)) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 y x))) |
(fma.f64 -2 (/.f64 y x) 1) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (-.f64 (fma.f64 -2 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x))))) |
(+.f64 1 (+.f64 (fma.f64 -2 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (*.f64 (/.f64 y x) (/.f64 y x)))) |
(fma.f64 2 (*.f64 (/.f64 y (*.f64 x x)) y) (fma.f64 -2 (/.f64 y x) 1)) |
(fma.f64 -2 (/.f64 y x) (fma.f64 (/.f64 2 x) (/.f64 y (/.f64 x y)) 1)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(-.f64 (+.f64 1 (+.f64 (fma.f64 -2 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))) (+.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x))) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))) |
(+.f64 1 (+.f64 (-.f64 (fma.f64 -2 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))) |
(+.f64 (fma.f64 -2 (/.f64 y x) 1) (*.f64 (*.f64 (*.f64 (/.f64 y (*.f64 x x)) y) (+.f64 -1 (/.f64 y x))) -2)) |
(+.f64 (fma.f64 -2 (/.f64 y x) 1) (*.f64 2 (-.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (pow.f64 (/.f64 y x) 3)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 y (*.f64 -1 y)) x))) |
(+.f64 1 (*.f64 -2 (/.f64 y x))) |
(fma.f64 -2 (/.f64 y x) 1) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 y (*.f64 -1 y)) x)))) |
(+.f64 1 (-.f64 (fma.f64 -2 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x))))) |
(+.f64 1 (+.f64 (fma.f64 -2 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (*.f64 (/.f64 y x) (/.f64 y x)))) |
(fma.f64 2 (*.f64 (/.f64 y (*.f64 x x)) y) (fma.f64 -2 (/.f64 y x) 1)) |
(fma.f64 -2 (/.f64 y x) (fma.f64 (/.f64 2 x) (/.f64 y (/.f64 x y)) 1)) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 y (*.f64 -1 y)) x))))) |
(fma.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (fma.f64 2 (/.f64 (*.f64 y y) (*.f64 x x)) (neg.f64 (/.f64 (-.f64 y (neg.f64 y)) x))))) |
(+.f64 (-.f64 (*.f64 (/.f64 2 x) (/.f64 (*.f64 y y) x)) (/.f64 (+.f64 y y) x)) (fma.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) 1)) |
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (*.f64 (/.f64 y (*.f64 x x)) y) (fma.f64 -2 (/.f64 y x) 1))) |
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 -2 (/.f64 y x) (fma.f64 (/.f64 2 x) (/.f64 y (/.f64 x y)) 1))) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 y x))) |
(fma.f64 -2 (/.f64 y x) 1) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(+.f64 1 (-.f64 (fma.f64 -2 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x))))) |
(+.f64 1 (+.f64 (fma.f64 -2 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (*.f64 (/.f64 y x) (/.f64 y x)))) |
(fma.f64 2 (*.f64 (/.f64 y (*.f64 x x)) y) (fma.f64 -2 (/.f64 y x) 1)) |
(fma.f64 -2 (/.f64 y x) (fma.f64 (/.f64 2 x) (/.f64 y (/.f64 x y)) 1)) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))) |
(fma.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (fma.f64 2 (/.f64 (*.f64 y y) (*.f64 x x)) (neg.f64 (/.f64 (-.f64 y (neg.f64 y)) x))))) |
(+.f64 (-.f64 (*.f64 (/.f64 2 x) (/.f64 (*.f64 y y) x)) (/.f64 (+.f64 y y) x)) (fma.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) 1)) |
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (*.f64 (/.f64 y (*.f64 x x)) y) (fma.f64 -2 (/.f64 y x) 1))) |
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 -2 (/.f64 y x) (fma.f64 (/.f64 2 x) (/.f64 y (/.f64 x y)) 1))) |
-1 |
(-.f64 (*.f64 2 (/.f64 x y)) 1) |
(fma.f64 2 (/.f64 x y) -1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 2 (/.f64 x y) -1)) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1)) |
(fma.f64 2 (/.f64 x y) (fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)) |
(fma.f64 2 (/.f64 x y) (fma.f64 -2 (*.f64 x (/.f64 x (*.f64 y y))) -1)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 2 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (+.f64 (+.f64 1 (/.f64 (*.f64 x x) (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
(-.f64 (-.f64 (fma.f64 2 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
(+.f64 (+.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (-.f64 2 (/.f64 x y)))) (-.f64 (pow.f64 (/.f64 x y) 3) (fma.f64 (/.f64 x y) (/.f64 x y) 1))) |
(+.f64 (*.f64 (/.f64 x y) (-.f64 2 (/.f64 x y))) (-.f64 (*.f64 2 (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (/.f64 x y) 1))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) 1) |
(fma.f64 2 (/.f64 x y) -1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 2 (/.f64 x y) -1)) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1)) |
(fma.f64 2 (/.f64 x y) (fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)) |
(fma.f64 2 (/.f64 x y) (fma.f64 -2 (*.f64 x (/.f64 x (*.f64 y y))) -1)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1) |
(+.f64 (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) -1) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1)) |
(fma.f64 2 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)) |
(fma.f64 2 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 -2 (*.f64 x (/.f64 x (*.f64 y y))) -1)) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 (/.f64 y x) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))) |
(-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) |
(-.f64 (/.f64 y x) (*.f64 (/.f64 y (*.f64 x x)) y)) |
(neg.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x))))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x)))) |
(-.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))) |
(+.f64 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)) (*.f64 -1 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))) |
(-.f64 (-.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))) (/.f64 (pow.f64 y 4) (pow.f64 x 4))) |
(-.f64 (-.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))) (pow.f64 (/.f64 y x) 4)) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (/.f64 (neg.f64 x) y)) |
(-.f64 1 (/.f64 x y)) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 1 (/.f64 (neg.f64 x) y))) |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 1 (/.f64 x y))) |
(+.f64 1 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) |
(+.f64 (+.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))) |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 (-.f64 1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 x y))) |
(+.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (/.f64 (neg.f64 x) y)) |
(-.f64 1 (/.f64 x y)) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 1 (/.f64 (neg.f64 x) y))) |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 1 (/.f64 x y))) |
(+.f64 1 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) |
(+.f64 (+.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))) |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 (-.f64 1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 x y))) |
(+.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (/.f64 (neg.f64 x) y)) |
(-.f64 1 (/.f64 x y)) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 1 (/.f64 (neg.f64 x) y))) |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 1 (/.f64 x y))) |
(+.f64 1 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) |
(+.f64 (+.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))) |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 (-.f64 1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 x y))) |
(+.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y)))) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 (/.f64 y x) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))) |
(-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) |
(-.f64 (/.f64 y x) (*.f64 (/.f64 y (*.f64 x x)) y)) |
(neg.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x))))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x)))) |
(-.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))) |
(+.f64 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)) (*.f64 -1 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))) |
(-.f64 (-.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))) (/.f64 (pow.f64 y 4) (pow.f64 x 4))) |
(-.f64 (-.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))) (pow.f64 (/.f64 y x) 4)) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 (/.f64 y x) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))) |
(-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) |
(-.f64 (/.f64 y x) (*.f64 (/.f64 y (*.f64 x x)) y)) |
(neg.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x))))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x)))) |
(-.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))) |
(+.f64 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)) (*.f64 -1 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))) |
(-.f64 (-.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))) (/.f64 (pow.f64 y 4) (pow.f64 x 4))) |
(-.f64 (-.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))) (pow.f64 (/.f64 y x) 4)) |
(/.f64 x y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) |
(neg.f64 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) |
(+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))) |
(+.f64 (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (/.f64 x y)))) |
(-.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
(fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
(-.f64 (-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 (/.f64 x y) (/.f64 x y))) |
(-.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) |
(-.f64 (-.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y)))) (pow.f64 (/.f64 x y) 4)) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 y x))) |
(+.f64 1 (/.f64 (neg.f64 y) x)) |
(-.f64 1 (/.f64 y x)) |
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x)))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (neg.f64 y) x))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x))) |
(+.f64 1 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))) |
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))) |
(+.f64 (+.f64 1 (/.f64 (*.f64 y y) (*.f64 x x))) (*.f64 -1 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)))) |
(+.f64 1 (-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)) (pow.f64 (/.f64 y x) 3))) |
(+.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)) (-.f64 1 (pow.f64 (/.f64 y x) 3))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 y x))) |
(+.f64 1 (/.f64 (neg.f64 y) x)) |
(-.f64 1 (/.f64 y x)) |
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x)))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (neg.f64 y) x))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x))) |
(+.f64 1 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))) |
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))) |
(+.f64 (+.f64 1 (/.f64 (*.f64 y y) (*.f64 x x))) (*.f64 -1 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)))) |
(+.f64 1 (-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)) (pow.f64 (/.f64 y x) 3))) |
(+.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)) (-.f64 1 (pow.f64 (/.f64 y x) 3))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 y x))) |
(+.f64 1 (/.f64 (neg.f64 y) x)) |
(-.f64 1 (/.f64 y x)) |
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x)))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (neg.f64 y) x))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x))) |
(+.f64 1 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))) |
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))) |
(+.f64 (+.f64 1 (/.f64 (*.f64 y y) (*.f64 x x))) (*.f64 -1 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)))) |
(+.f64 1 (-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)) (pow.f64 (/.f64 y x) 3))) |
(+.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)) (-.f64 1 (pow.f64 (/.f64 y x) 3))) |
(/.f64 x y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) |
(neg.f64 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) |
(+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))) |
(+.f64 (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (/.f64 x y)))) |
(-.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
(fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
(-.f64 (-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 (/.f64 x y) (/.f64 x y))) |
(-.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) |
(-.f64 (-.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y)))) (pow.f64 (/.f64 x y) 4)) |
(/.f64 x y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) |
(neg.f64 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) |
(+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))) |
(+.f64 (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (/.f64 x y)))) |
(-.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
(fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
(-.f64 (-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 (/.f64 x y) (/.f64 x y))) |
(-.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) |
(-.f64 (-.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y)))) (pow.f64 (/.f64 x y) 4)) |
Compiled 21 to 11 computations (47.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (+.f64 x y)) |
| ✓ | 0.2b | (*.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y)) |
Compiled 25 to 10 computations (60% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 1 (+.f64 x y)) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y)) |
| 0.0ms | x | @ | inf | (/.f64 1 (+.f64 x y)) |
| 0.0ms | y | @ | -inf | (/.f64 1 (+.f64 x y)) |
| 0.0ms | y | @ | 0 | (/.f64 1 (+.f64 x y)) |
| 1× | batch-egg-rewrite |
| 972× | pow1_binary64 |
| 905× | add-log-exp_binary64 |
| 905× | log1p-expm1-u_binary64 |
| 905× | expm1-log1p-u_binary64 |
| 89× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 174 | 17 |
| 2 | 2440 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y)) |
(/.f64 1 (+.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1 (+.f64 x y))) (*.f64 (neg.f64 y) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 x y)) x) (*.f64 (/.f64 1 (+.f64 x y)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x y) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (+.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (+.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 x y)) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (neg.f64 (+.f64 x y)) (fma.f64 x x (*.f64 y (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (neg.f64 (+.f64 x y)) (+.f64 x y)))))) (#(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 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 1) (pow.f64 (+.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))) (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) -1) (*.f64 (+.f64 x y) (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x y) (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x y) 1) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 x y)) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 1 (+.f64 x y))) (fma.f64 x x (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 x y)) (-.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 1 (+.f64 x y)) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x y) -1) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (+.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x y)) 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 1 (+.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 x y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 x y))) (cbrt.f64 (pow.f64 (+.f64 x y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -2)) (/.f64 1 (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x y) -1/2) (pow.f64 (+.f64 x y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) -1) (pow.f64 (sqrt.f64 (+.f64 x y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x y)))))))) |
| 1× | egg-herbie |
| 676× | times-frac_binary64 |
| 585× | fma-def_binary64 |
| 427× | div-sub_binary64 |
| 402× | sub-neg_binary64 |
| 400× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 1023 |
| 1 | 316 | 918 |
| 2 | 1114 | 792 |
| 3 | 5623 | 792 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (*.f64 2 (/.f64 x y)) 1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) 1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) (/.f64 y x)) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 y x)) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) (/.f64 y x)) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 y x)) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 y x))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))) |
-1 |
(-.f64 (/.f64 x y) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) x) (pow.f64 y 2)))) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) x) (pow.f64 y 2))))) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2))) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) (pow.f64 x 2)) (pow.f64 y 3))) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2)))) 1) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.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 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.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 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.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 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.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 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
| Outputs |
|---|
-1 |
(-.f64 (*.f64 2 (/.f64 x y)) 1) |
(fma.f64 2 (/.f64 x y) -1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) 1) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 2 (/.f64 x y) -1)) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1)) |
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1) |
(+.f64 (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) -1) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1)) |
(+.f64 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2))) (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1)) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x)) |
(+.f64 1 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 y x))) |
(-.f64 (-.f64 1 (/.f64 y x)) (/.f64 y x)) |
(fma.f64 -2 (/.f64 y x) 1) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) (/.f64 y x)) |
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 (neg.f64 y) x)) (/.f64 y x))) |
(-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (*.f64 -2 (/.f64 y x)))) (/.f64 y x)) (/.f64 y x)) |
(fma.f64 2 (*.f64 (/.f64 y (*.f64 x x)) y) (fma.f64 -2 (/.f64 y x) 1)) |
(fma.f64 2 (/.f64 y (*.f64 x (/.f64 x y))) (fma.f64 -2 (/.f64 y x) 1)) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 y x)) |
(+.f64 (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 3) (-.f64 (neg.f64 y) y))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 (neg.f64 y) x)) (/.f64 y x)))) |
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (*.f64 -2 (/.f64 y x)))) (/.f64 y x)) (-.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x))) |
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (*.f64 (/.f64 y (*.f64 x x)) y) (fma.f64 -2 (/.f64 y x) 1))) |
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (/.f64 y (*.f64 x (/.f64 x y))) (fma.f64 -2 (/.f64 y x) 1))) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x)) |
(+.f64 1 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 y x))) |
(-.f64 (-.f64 1 (/.f64 y x)) (/.f64 y x)) |
(fma.f64 -2 (/.f64 y x) 1) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) (/.f64 y x)) |
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 (neg.f64 y) x)) (/.f64 y x))) |
(-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (*.f64 -2 (/.f64 y x)))) (/.f64 y x)) (/.f64 y x)) |
(fma.f64 2 (*.f64 (/.f64 y (*.f64 x x)) y) (fma.f64 -2 (/.f64 y x) 1)) |
(fma.f64 2 (/.f64 y (*.f64 x (/.f64 x y))) (fma.f64 -2 (/.f64 y x) 1)) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 y x)) |
(+.f64 (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 3) (-.f64 (neg.f64 y) y))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 (neg.f64 y) x)) (/.f64 y x)))) |
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (*.f64 -2 (/.f64 y x)))) (/.f64 y x)) (-.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x))) |
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (*.f64 (/.f64 y (*.f64 x x)) y) (fma.f64 -2 (/.f64 y x) 1))) |
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (/.f64 y (*.f64 x (/.f64 x y))) (fma.f64 -2 (/.f64 y x) 1))) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 y x))) |
(+.f64 1 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 y x))) |
(-.f64 (-.f64 1 (/.f64 y x)) (/.f64 y x)) |
(fma.f64 -2 (/.f64 y x) 1) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 (neg.f64 y) x)) (/.f64 y x))) |
(-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (*.f64 -2 (/.f64 y x)))) (/.f64 y x)) (/.f64 y x)) |
(fma.f64 2 (*.f64 (/.f64 y (*.f64 x x)) y) (fma.f64 -2 (/.f64 y x) 1)) |
(fma.f64 2 (/.f64 y (*.f64 x (/.f64 x y))) (fma.f64 -2 (/.f64 y x) 1)) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))) |
(+.f64 (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 3) (-.f64 (neg.f64 y) y))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 (neg.f64 y) x)) (/.f64 y x)))) |
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (*.f64 -2 (/.f64 y x)))) (/.f64 y x)) (-.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x))) |
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (*.f64 (/.f64 y (*.f64 x x)) y) (fma.f64 -2 (/.f64 y x) 1))) |
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (/.f64 y (*.f64 x (/.f64 x y))) (fma.f64 -2 (/.f64 y x) 1))) |
-1 |
(-.f64 (/.f64 x y) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(fma.f64 2 (/.f64 x y) -1) |
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) x) (pow.f64 y 2)))) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 2 (/.f64 x y) -1)) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1)) |
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) x) (pow.f64 y 2))))) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) -1) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1)) |
(+.f64 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2))) (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1)) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) 1) |
(fma.f64 2 (/.f64 x y) -1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 2 (/.f64 x y) -1)) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1)) |
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) (pow.f64 x 2)) (pow.f64 y 3))) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2)))) 1) |
(+.f64 (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) -1) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1)) |
(+.f64 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2))) (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1)) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 1 y) (/.f64 (neg.f64 x) (*.f64 y y))) |
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))) |
(+.f64 (+.f64 (/.f64 1 y) (/.f64 (neg.f64 x) (*.f64 y y))) (/.f64 (*.f64 x x) (pow.f64 y 3))) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 x (/.f64 (pow.f64 y 3) x))) (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
(+.f64 (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) (/.f64 1 y)) (fma.f64 -1 (/.f64 x (*.f64 y y)) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) |
(+.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) (-.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 (pow.f64 x 3) (pow.f64 y 4)))) |
(-.f64 (+.f64 (/.f64 1 y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1 (/.f64 x y)))) (/.f64 (pow.f64 x 3) (pow.f64 y 4))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))) |
(+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) (*.f64 x x))) |
(-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) (*.f64 x x))) (/.f64 (*.f64 y y) (pow.f64 x 3))) |
(+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 (*.f64 y y) (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) (*.f64 x x))) (/.f64 (*.f64 y y) (pow.f64 x 3)))) |
(-.f64 (+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 (pow.f64 y 3) (pow.f64 x 4))) |
(+.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x))) (-.f64 (/.f64 1 x) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))) |
(+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) (*.f64 x x))) |
(-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) (*.f64 x x))) (/.f64 (*.f64 y y) (pow.f64 x 3))) |
(+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 (*.f64 y y) (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) (*.f64 x x))) (/.f64 (*.f64 y y) (pow.f64 x 3)))) |
(-.f64 (+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 (pow.f64 y 3) (pow.f64 x 4))) |
(+.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x))) (-.f64 (/.f64 1 x) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))) |
(+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) (*.f64 x x))) |
(-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) (*.f64 x x))) (/.f64 (*.f64 y y) (pow.f64 x 3))) |
(+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 (*.f64 y y) (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) (*.f64 x x))) (/.f64 (*.f64 y y) (pow.f64 x 3)))) |
(-.f64 (+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 (pow.f64 y 3) (pow.f64 x 4))) |
(+.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x))) (-.f64 (/.f64 1 x) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 1 y) (/.f64 (neg.f64 x) (*.f64 y y))) |
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))) |
(+.f64 (+.f64 (/.f64 1 y) (/.f64 (neg.f64 x) (*.f64 y y))) (/.f64 (*.f64 x x) (pow.f64 y 3))) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 x (/.f64 (pow.f64 y 3) x))) (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
(+.f64 (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) (/.f64 1 y)) (fma.f64 -1 (/.f64 x (*.f64 y y)) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) |
(+.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) (-.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 (pow.f64 x 3) (pow.f64 y 4)))) |
(-.f64 (+.f64 (/.f64 1 y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1 (/.f64 x y)))) (/.f64 (pow.f64 x 3) (pow.f64 y 4))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 1 y) (/.f64 (neg.f64 x) (*.f64 y y))) |
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))) |
(+.f64 (+.f64 (/.f64 1 y) (/.f64 (neg.f64 x) (*.f64 y y))) (/.f64 (*.f64 x x) (pow.f64 y 3))) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 x (/.f64 (pow.f64 y 3) x))) (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
(+.f64 (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) (/.f64 1 y)) (fma.f64 -1 (/.f64 x (*.f64 y y)) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) |
(+.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) (-.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 (pow.f64 x 3) (pow.f64 y 4)))) |
(-.f64 (+.f64 (/.f64 1 y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1 (/.f64 x y)))) (/.f64 (pow.f64 x 3) (pow.f64 y 4))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (/.f64 (-.f64 x y) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y)) |
| ✓ | 3.3b | (-.f64 (*.f64 x x) (*.f64 y y)) |
| ✓ | 30.5b | (/.f64 (-.f64 x y) (-.f64 (*.f64 x x) (*.f64 y y))) |
Compiled 46 to 8 computations (82.6% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (-.f64 (*.f64 x x) (*.f64 y y)) |
| 1.0ms | y | @ | inf | (*.f64 (/.f64 (-.f64 x y) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y)) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 x y) (-.f64 (*.f64 x x) (*.f64 y y))) |
| 1.0ms | x | @ | inf | (-.f64 (*.f64 x x) (*.f64 y y)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 (-.f64 x y) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y)) |
| 1× | batch-egg-rewrite |
| 598× | log-prod_binary64 |
| 559× | fma-def_binary64 |
| 286× | pow2_binary64 |
| 241× | fma-neg_binary64 |
| 208× | pow-unpow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 48 |
| 1 | 216 | 27 |
| 2 | 3517 | 27 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 (*.f64 x x) (*.f64 y y))) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y))) (neg.f64 (/.f64 y (-.f64 (*.f64 x x) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 y (-.f64 (*.f64 x x) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (/.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 (+.f64 x y)) (*.f64 (neg.f64 y) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 x y)) x (*.f64 (/.f64 1 (+.f64 x y)) (neg.f64 y))))))) |
| 1× | egg-herbie |
| 765× | fma-neg_binary64 |
| 456× | associate-/l/_binary64 |
| 353× | div-sub_binary64 |
| 316× | fma-def_binary64 |
| 292× | *-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 1221 |
| 1 | 222 | 1131 |
| 2 | 721 | 1011 |
| 3 | 2968 | 984 |
| 4 | 7486 | 984 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.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 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.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 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.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 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.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 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
(*.f64 -1 (pow.f64 y 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(*.f64 -1 (pow.f64 y 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(*.f64 -1 (pow.f64 y 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
-1 |
(-.f64 (*.f64 2 (/.f64 x y)) 1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) 1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 y x))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 y x))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 y x))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 x y)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)) |
-1 |
(-.f64 (*.f64 2 (/.f64 x y)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)) |
| Outputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x (*.f64 y y)))) |
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))) |
(+.f64 (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) (/.f64 1 y)) (neg.f64 (/.f64 x (*.f64 y y)))) |
(+.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 x (/.f64 (pow.f64 y 3) x))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
(+.f64 (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) (/.f64 1 y)) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) |
(+.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) (-.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 (pow.f64 x 3) (pow.f64 y 4)))) |
(+.f64 (/.f64 1 y) (-.f64 (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1 (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 4)))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 x y) (fma.f64 (/.f64 x (*.f64 y y)) x 1)))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))) |
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x)))) |
(-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) |
(-.f64 (/.f64 1 x) (/.f64 (/.f64 y x) x)) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x)))) (/.f64 (*.f64 y y) (pow.f64 x 3))) |
(+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) y))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 y x) -1))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 (/.f64 y x) x) (+.f64 -1 (/.f64 y x)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x)))) (/.f64 (*.f64 y y) (pow.f64 x 3)))) |
(-.f64 (+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) y))) (/.f64 (pow.f64 y 3) (pow.f64 x 4))) |
(+.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 y x) -1)) (-.f64 (/.f64 1 x) (/.f64 (pow.f64 (/.f64 y x) 3) x))) |
(+.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 y (pow.f64 x 3)) (-.f64 y (/.f64 y (/.f64 x y)))) (/.f64 (/.f64 y x) x))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))) |
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x)))) |
(-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) |
(-.f64 (/.f64 1 x) (/.f64 (/.f64 y x) x)) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x)))) (/.f64 (*.f64 y y) (pow.f64 x 3))) |
(+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) y))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 y x) -1))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 (/.f64 y x) x) (+.f64 -1 (/.f64 y x)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x)))) (/.f64 (*.f64 y y) (pow.f64 x 3)))) |
(-.f64 (+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) y))) (/.f64 (pow.f64 y 3) (pow.f64 x 4))) |
(+.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 y x) -1)) (-.f64 (/.f64 1 x) (/.f64 (pow.f64 (/.f64 y x) 3) x))) |
(+.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 y (pow.f64 x 3)) (-.f64 y (/.f64 y (/.f64 x y)))) (/.f64 (/.f64 y x) x))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))) |
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x)))) |
(-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) |
(-.f64 (/.f64 1 x) (/.f64 (/.f64 y x) x)) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x)))) (/.f64 (*.f64 y y) (pow.f64 x 3))) |
(+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) y))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 y x) -1))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 (/.f64 y x) x) (+.f64 -1 (/.f64 y x)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x)))) (/.f64 (*.f64 y y) (pow.f64 x 3)))) |
(-.f64 (+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) y))) (/.f64 (pow.f64 y 3) (pow.f64 x 4))) |
(+.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 y x) -1)) (-.f64 (/.f64 1 x) (/.f64 (pow.f64 (/.f64 y x) 3) x))) |
(+.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 y (pow.f64 x 3)) (-.f64 y (/.f64 y (/.f64 x y)))) (/.f64 (/.f64 y x) x))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x (*.f64 y y)))) |
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))) |
(+.f64 (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) (/.f64 1 y)) (neg.f64 (/.f64 x (*.f64 y y)))) |
(+.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 x (/.f64 (pow.f64 y 3) x))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
(+.f64 (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) (/.f64 1 y)) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) |
(+.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) (-.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 (pow.f64 x 3) (pow.f64 y 4)))) |
(+.f64 (/.f64 1 y) (-.f64 (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1 (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 4)))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 x y) (fma.f64 (/.f64 x (*.f64 y y)) x 1)))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x (*.f64 y y)))) |
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))) |
(+.f64 (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) (/.f64 1 y)) (neg.f64 (/.f64 x (*.f64 y y)))) |
(+.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 x (/.f64 (pow.f64 y 3) x))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
(+.f64 (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) (/.f64 1 y)) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) |
(+.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) (-.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 (pow.f64 x 3) (pow.f64 y 4)))) |
(+.f64 (/.f64 1 y) (-.f64 (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1 (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 4)))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 x y) (fma.f64 (/.f64 x (*.f64 y y)) x 1)))) |
(*.f64 -1 (pow.f64 y 2)) |
(neg.f64 (*.f64 y y)) |
(*.f64 y (neg.f64 y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(fma.f64 x x (*.f64 y (neg.f64 y))) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (+.f64 y x) (-.f64 x y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(fma.f64 x x (*.f64 y (neg.f64 y))) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (+.f64 y x) (-.f64 x y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(fma.f64 x x (*.f64 y (neg.f64 y))) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (+.f64 y x) (-.f64 x y)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(fma.f64 x x (*.f64 y (neg.f64 y))) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (+.f64 y x) (-.f64 x y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(fma.f64 x x (*.f64 y (neg.f64 y))) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (+.f64 y x) (-.f64 x y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(fma.f64 x x (*.f64 y (neg.f64 y))) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (+.f64 y x) (-.f64 x y)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(fma.f64 x x (*.f64 y (neg.f64 y))) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (+.f64 y x) (-.f64 x y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(fma.f64 x x (*.f64 y (neg.f64 y))) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (+.f64 y x) (-.f64 x y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(fma.f64 x x (*.f64 y (neg.f64 y))) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (+.f64 y x) (-.f64 x y)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(fma.f64 x x (*.f64 y (neg.f64 y))) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (+.f64 y x) (-.f64 x y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(fma.f64 x x (*.f64 y (neg.f64 y))) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (+.f64 y x) (-.f64 x y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(fma.f64 x x (*.f64 y (neg.f64 y))) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (+.f64 y x) (-.f64 x y)) |
(*.f64 -1 (pow.f64 y 2)) |
(neg.f64 (*.f64 y y)) |
(*.f64 y (neg.f64 y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(fma.f64 x x (*.f64 y (neg.f64 y))) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (+.f64 y x) (-.f64 x y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(fma.f64 x x (*.f64 y (neg.f64 y))) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (+.f64 y x) (-.f64 x y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(fma.f64 x x (*.f64 y (neg.f64 y))) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (+.f64 y x) (-.f64 x y)) |
(*.f64 -1 (pow.f64 y 2)) |
(neg.f64 (*.f64 y y)) |
(*.f64 y (neg.f64 y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(fma.f64 x x (*.f64 y (neg.f64 y))) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (+.f64 y x) (-.f64 x y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(fma.f64 x x (*.f64 y (neg.f64 y))) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (+.f64 y x) (-.f64 x y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(fma.f64 x x (*.f64 y (neg.f64 y))) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (+.f64 y x) (-.f64 x y)) |
-1 |
(-.f64 (*.f64 2 (/.f64 x y)) 1) |
(fma.f64 2 (/.f64 x y) -1) |
(fma.f64 (/.f64 2 y) x -1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) 1) |
(+.f64 (/.f64 (*.f64 -2 (*.f64 x x)) (*.f64 y y)) (fma.f64 2 (/.f64 x y) -1)) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1)) |
(fma.f64 2 (/.f64 x y) (fma.f64 (/.f64 -2 y) (/.f64 x (/.f64 y x)) -1)) |
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1) |
(+.f64 (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) -1) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1)) |
(fma.f64 2 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 -2 y) (/.f64 x (/.f64 y x)) -1)) |
(+.f64 -1 (fma.f64 2 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2))))) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 y x))) |
(fma.f64 -2 (/.f64 y x) 1) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(-.f64 (+.f64 1 (fma.f64 -2 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x)))) (/.f64 (neg.f64 (*.f64 y y)) (*.f64 x x))) |
(+.f64 (fma.f64 -2 (/.f64 y x) 1) (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (*.f64 (/.f64 y x) (/.f64 y x)))) |
(fma.f64 2 (*.f64 (/.f64 y (*.f64 x x)) y) (fma.f64 -2 (/.f64 y x) 1)) |
(+.f64 1 (*.f64 (/.f64 y x) (+.f64 -2 (*.f64 2 (/.f64 y x))))) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(-.f64 (fma.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (fma.f64 -2 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x))))) (/.f64 (neg.f64 (*.f64 y y)) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (+.f64 (fma.f64 -2 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (fma.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) 1))) |
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (*.f64 (/.f64 y (*.f64 x x)) y) (fma.f64 -2 (/.f64 y x) 1))) |
(+.f64 (*.f64 (/.f64 y x) (+.f64 -2 (*.f64 2 (/.f64 y x)))) (fma.f64 -2 (pow.f64 (/.f64 y x) 3) 1)) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 y x))) |
(fma.f64 -2 (/.f64 y x) 1) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(-.f64 (+.f64 1 (fma.f64 -2 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x)))) (/.f64 (neg.f64 (*.f64 y y)) (*.f64 x x))) |
(+.f64 (fma.f64 -2 (/.f64 y x) 1) (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (*.f64 (/.f64 y x) (/.f64 y x)))) |
(fma.f64 2 (*.f64 (/.f64 y (*.f64 x x)) y) (fma.f64 -2 (/.f64 y x) 1)) |
(+.f64 1 (*.f64 (/.f64 y x) (+.f64 -2 (*.f64 2 (/.f64 y x))))) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(-.f64 (fma.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (fma.f64 -2 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x))))) (/.f64 (neg.f64 (*.f64 y y)) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (+.f64 (fma.f64 -2 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (fma.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) 1))) |
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (*.f64 (/.f64 y (*.f64 x x)) y) (fma.f64 -2 (/.f64 y x) 1))) |
(+.f64 (*.f64 (/.f64 y x) (+.f64 -2 (*.f64 2 (/.f64 y x)))) (fma.f64 -2 (pow.f64 (/.f64 y x) 3) 1)) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 y x))) |
(fma.f64 -2 (/.f64 y x) 1) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(-.f64 (+.f64 1 (fma.f64 -2 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x)))) (/.f64 (neg.f64 (*.f64 y y)) (*.f64 x x))) |
(+.f64 (fma.f64 -2 (/.f64 y x) 1) (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (*.f64 (/.f64 y x) (/.f64 y x)))) |
(fma.f64 2 (*.f64 (/.f64 y (*.f64 x x)) y) (fma.f64 -2 (/.f64 y x) 1)) |
(+.f64 1 (*.f64 (/.f64 y x) (+.f64 -2 (*.f64 2 (/.f64 y x))))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))) |
(-.f64 (fma.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (fma.f64 -2 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x))))) (/.f64 (neg.f64 (*.f64 y y)) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (+.f64 (fma.f64 -2 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (fma.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) 1))) |
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (*.f64 (/.f64 y (*.f64 x x)) y) (fma.f64 -2 (/.f64 y x) 1))) |
(+.f64 (*.f64 (/.f64 y x) (+.f64 -2 (*.f64 2 (/.f64 y x)))) (fma.f64 -2 (pow.f64 (/.f64 y x) 3) 1)) |
-1 |
(-.f64 (*.f64 2 (/.f64 x y)) 1) |
(fma.f64 2 (/.f64 x y) -1) |
(fma.f64 (/.f64 2 y) x -1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)) |
(+.f64 (/.f64 (*.f64 -2 (*.f64 x x)) (*.f64 y y)) (fma.f64 2 (/.f64 x y) -1)) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1)) |
(fma.f64 2 (/.f64 x y) (fma.f64 (/.f64 -2 y) (/.f64 x (/.f64 y x)) -1)) |
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)) |
(+.f64 (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) -1) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1)) |
(fma.f64 2 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 -2 y) (/.f64 x (/.f64 y x)) -1)) |
(+.f64 -1 (fma.f64 2 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 x y)) 1) |
(fma.f64 2 (/.f64 x y) -1) |
(fma.f64 (/.f64 2 y) x -1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)) |
(+.f64 (/.f64 (*.f64 -2 (*.f64 x x)) (*.f64 y y)) (fma.f64 2 (/.f64 x y) -1)) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1)) |
(fma.f64 2 (/.f64 x y) (fma.f64 (/.f64 -2 y) (/.f64 x (/.f64 y x)) -1)) |
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)) |
(+.f64 (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) -1) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1)) |
(fma.f64 2 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 -2 y) (/.f64 x (/.f64 y x)) -1)) |
(+.f64 -1 (fma.f64 2 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2))))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (-.f64 x y)) |
| ✓ | 0.1b | (*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y))) |
| ✓ | 0.1b | (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y)) |
Compiled 44 to 12 computations (72.7% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y)) |
| 2.0ms | x | @ | 0 | (sqrt.f64 (-.f64 x y)) |
| 2.0ms | x | @ | inf | (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y)) |
| 2.0ms | x | @ | 0 | (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y)) |
| 1.0ms | y | @ | inf | (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y)) |
| 1× | batch-egg-rewrite |
| 567× | prod-diff_binary64 |
| 512× | log-prod_binary64 |
| 357× | pow-prod-down_binary64 |
| 259× | fma-def_binary64 |
| 257× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 28 |
| 1 | 225 | 28 |
| 2 | 2925 | 28 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y))) |
(sqrt.f64 (-.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y))) (cbrt.f64 (/.f64 (-.f64 x y) (pow.f64 (+.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x y) (pow.f64 (+.f64 x y) 2))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x y)) (*.f64 (pow.f64 (-.f64 x y) 1/6) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 x y) 1/4) (/.f64 (pow.f64 (-.f64 x y) 1/4) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 x y) 1/4) (*.f64 (pow.f64 (-.f64 x y) 1/4) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) (pow.f64 (+.f64 x y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y))) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (-.f64 x y))) (/.f64 1 (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x y)) (sqrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 1 (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x y) -1/2) (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (pow.f64 (-.f64 x y) 1/6) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 x y)) 1) (/.f64 (pow.f64 (-.f64 x y) 1/6) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) 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(+.f64 x y) (sqrt.f64 (-.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 x y) 3/2) (pow.f64 (+.f64 x y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 x y) -1/2) (+.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (-.f64 x y) (pow.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3/2) (pow.f64 (+.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x y) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (pow.f64 (-.f64 x y) -1/2) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x 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x y) (+.f64 x y)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (-.f64 x y))) (*.f64 -1 (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (-.f64 x y))) (*.f64 (pow.f64 (-.f64 x y) -1/2) (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (-.f64 x y))) (*.f64 (neg.f64 (+.f64 x y)) (pow.f64 (-.f64 x y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (-.f64 x y))) (*.f64 (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (+.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 (+.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x y))) 2) (*.f64 -1 (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(-.f64 x y) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x y))) (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y)) (neg.f64 (sqrt.f64 (-.f64 x y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (+.f64 x y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 x y) -1/2) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))) (pow.f64 (-.f64 x y) -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (+.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (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 (pow.f64 (-.f64 x y) 1/6) (cbrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (-.f64 x y) 1/6))))) (#(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 (neg.f64 (sqrt.f64 (-.f64 x y))) -1)))) (#(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 (sqrt.f64 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (-.f64 x y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 (pow.f64 (-.f64 x y) 1/6)))))) (#(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 (neg.f64 (sqrt.f64 (-.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (pow.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))) (hypot.f64 x (hypot.f64 y (sqrt.f64 (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x y)))) 1)))) (#(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 (pow.f64 (-.f64 x y) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x y) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x y) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x y)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x y) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x y) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 (-.f64 x y)) -1))))) (#(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 log.f64 (+.f64 1 (expm1.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 x) (sqrt.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (neg.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))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x y))) 1)))))) |
| 1× | egg-herbie |
| 951× | times-frac_binary64 |
| 563× | associate-/l*_binary64 |
| 532× | associate-*r*_binary64 |
| 506× | associate-*l*_binary64 |
| 488× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 207 | 1334 |
| 1 | 649 | 1143 |
| 2 | 2352 | 964 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 y))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 y 3)))))) x) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 y)))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 y 3)))))) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/8 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 y 5))))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 y 5))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 y 5)))))) (pow.f64 x 2)) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 y))))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/16 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 1 (pow.f64 y 7))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 y 7))))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 y 7))))) (*.f64 1/8 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 y 7)))))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 y 3)))))) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/8 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 y 5))))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 y 5))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 y 5)))))) (pow.f64 x 2)) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 y)))))) |
(sqrt.f64 (/.f64 1 x)) |
(+.f64 (*.f64 y (+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (sqrt.f64 (/.f64 1 x))) |
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))) (+.f64 (*.f64 y (+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (sqrt.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))))))) (pow.f64 y 3)) (+.f64 (*.f64 y (+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (sqrt.f64 (/.f64 1 x))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 x y)) 1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) 1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) (/.f64 y x)) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 y x)) |
(*.f64 -1 (pow.f64 (sqrt.f64 -1) 2)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)) x)) (*.f64 -1 (pow.f64 (sqrt.f64 -1) 2))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)) x)) (+.f64 (/.f64 (*.f64 y (-.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) (pow.f64 x 2)) (*.f64 -1 (pow.f64 (sqrt.f64 -1) 2)))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)) x)) (+.f64 (/.f64 (*.f64 y (-.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) (pow.f64 x 3)))))) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 y x))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))) |
-1 |
(-.f64 (/.f64 x y) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) x) (pow.f64 y 2)))) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) x) (pow.f64 y 2))))) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2))) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) (pow.f64 x 2)) (pow.f64 y 3))) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2)))) 1) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 y)) |
(+.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 y)) (*.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 y))))) |
(+.f64 (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (+.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 y)) (*.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 y)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (+.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 y)) (+.f64 (*.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 y)))) (*.f64 1/16 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 1 (pow.f64 y 5)))))))) |
(sqrt.f64 x) |
(+.f64 (*.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 -1/2 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))) |
(+.f64 (*.f64 -1/16 (*.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (*.f64 -1/2 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 y))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 y 3)))))) x) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 y)))) |
(fma.f64 (fma.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) (neg.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 y 3)))))) x (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 y)))) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 y)) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (+.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1/2 (sqrt.f64 -1)))) x)) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 y)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (sqrt.f64 -1)) x))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 y 3)))))) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/8 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 y 5))))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 y 5))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 y 5)))))) (pow.f64 x 2)) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 y))))) |
(fma.f64 (fma.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) (neg.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 y 3)))))) x (fma.f64 (fma.f64 -1/8 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (fma.f64 -1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 y 5)))))) (*.f64 x x) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 y))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (+.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1/2 (sqrt.f64 -1)))) x (fma.f64 (fma.f64 -1/8 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (neg.f64 (sqrt.f64 -1))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (+.f64 (/.f64 -1/2 (sqrt.f64 -1)) (sqrt.f64 -1)))) (*.f64 x x) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 y))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (sqrt.f64 -1))) x (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (+.f64 (/.f64 1/8 (sqrt.f64 -1)) (+.f64 (/.f64 -1/2 (sqrt.f64 -1)) (sqrt.f64 -1)))) (*.f64 x x) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 y))))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/16 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 1 (pow.f64 y 7))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 y 7))))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 y 7))))) (*.f64 1/8 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 y 7)))))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 y 3)))))) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/8 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 y 5))))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 y 5))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 y 5)))))) (pow.f64 x 2)) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 y)))))) |
(fma.f64 (fma.f64 1/16 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 1 (pow.f64 y 7)))) (fma.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 y 7)))) (fma.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 y 7)))) (*.f64 1/8 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 y 7)))))))) (pow.f64 x 3) (fma.f64 (fma.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) (neg.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 y 3)))))) x (fma.f64 (fma.f64 -1/8 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (fma.f64 -1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 y 5)))))) (*.f64 x x) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 y)))))) |
(fma.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 7))) (+.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1/8 (neg.f64 (sqrt.f64 -1))))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 7))) (+.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 1/2 (sqrt.f64 -1))))) (pow.f64 x 3) (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (+.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1/2 (sqrt.f64 -1)))) x (fma.f64 (fma.f64 -1/8 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (neg.f64 (sqrt.f64 -1))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (+.f64 (/.f64 -1/2 (sqrt.f64 -1)) (sqrt.f64 -1)))) (*.f64 x x) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 y)))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 7))) (+.f64 (-.f64 (/.f64 -1/8 (sqrt.f64 -1)) (sqrt.f64 -1)) (+.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 1/2 (sqrt.f64 -1))))) (pow.f64 x 3) (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (sqrt.f64 -1))) x (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (+.f64 (/.f64 1/8 (sqrt.f64 -1)) (+.f64 (/.f64 -1/2 (sqrt.f64 -1)) (sqrt.f64 -1)))) (*.f64 x x) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 y)))))) |
(sqrt.f64 (/.f64 1 x)) |
(+.f64 (*.f64 y (+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (sqrt.f64 (/.f64 1 x))) |
(fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -3/2) (sqrt.f64 (/.f64 1 x))) |
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))) (+.f64 (*.f64 y (+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (sqrt.f64 (/.f64 1 x)))) |
(fma.f64 (*.f64 y y) (+.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) 3/8)) (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -3/2) (sqrt.f64 (/.f64 1 x)))) |
(fma.f64 (*.f64 y y) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -3/2) (sqrt.f64 (/.f64 1 x)))) |
(fma.f64 (*.f64 y y) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) 11/8) (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -3/2) (sqrt.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))))))) (pow.f64 y 3)) (+.f64 (*.f64 y (+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (sqrt.f64 (/.f64 1 x))))) |
(fma.f64 (*.f64 y y) (+.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) 3/8)) (fma.f64 (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) 1/16))) (pow.f64 y 3) (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -3/2) (sqrt.f64 (/.f64 1 x))))) |
(fma.f64 (*.f64 y y) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (fma.f64 (pow.f64 y 3) (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) -15/16)) (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -3/2) (sqrt.f64 (/.f64 1 x))))) |
(fma.f64 (*.f64 y y) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) 11/8) (fma.f64 (pow.f64 y 3) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) -23/16) (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -3/2) (sqrt.f64 (/.f64 1 x))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 x y)) 1) |
(fma.f64 2 (/.f64 x y) -1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) 1) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 2 (/.f64 x y) -1)) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1)) |
(+.f64 -1 (*.f64 (*.f64 (/.f64 x y) -2) (+.f64 -1 (/.f64 x y)))) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1) |
(+.f64 (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) -1) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1)) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) -1)) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x)) |
(+.f64 1 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 y x))) |
(-.f64 (-.f64 1 (/.f64 y x)) (/.f64 y x)) |
(fma.f64 -2 (/.f64 y x) 1) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) (/.f64 y x)) |
(+.f64 1 (-.f64 (*.f64 -1 (+.f64 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 y x))) (/.f64 y x))) |
(+.f64 (-.f64 (*.f64 (/.f64 y (*.f64 x x)) (*.f64 y 2)) (/.f64 y x)) (-.f64 1 (/.f64 y x))) |
(+.f64 1 (*.f64 (*.f64 2 (/.f64 y x)) (+.f64 -1 (/.f64 y x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 y x)) |
(+.f64 (/.f64 (*.f64 (*.f64 y y) (-.f64 (neg.f64 y) y)) (pow.f64 x 3)) (+.f64 1 (-.f64 (*.f64 -1 (+.f64 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 y x))) (/.f64 y x)))) |
(+.f64 (fma.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) 1) (-.f64 (-.f64 (*.f64 (/.f64 y (*.f64 x x)) (*.f64 y 2)) (/.f64 y x)) (/.f64 y x))) |
(+.f64 (fma.f64 -2 (pow.f64 (/.f64 y x) 3) 1) (*.f64 (*.f64 2 (/.f64 y x)) (+.f64 -1 (/.f64 y x)))) |
(*.f64 -1 (pow.f64 (sqrt.f64 -1) 2)) |
1 |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)) x)) (*.f64 -1 (pow.f64 (sqrt.f64 -1) 2))) |
(+.f64 1 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 y x))) |
(-.f64 (-.f64 1 (/.f64 y x)) (/.f64 y x)) |
(fma.f64 -2 (/.f64 y x) 1) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)) x)) (+.f64 (/.f64 (*.f64 y (-.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) (pow.f64 x 2)) (*.f64 -1 (pow.f64 (sqrt.f64 -1) 2)))) |
(+.f64 1 (-.f64 (*.f64 -1 (+.f64 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 y x))) (/.f64 y x))) |
(+.f64 (-.f64 (*.f64 (/.f64 y (*.f64 x x)) (*.f64 y 2)) (/.f64 y x)) (-.f64 1 (/.f64 y x))) |
(+.f64 1 (*.f64 (*.f64 2 (/.f64 y x)) (+.f64 -1 (/.f64 y x)))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)) x)) (+.f64 (/.f64 (*.f64 y (-.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) (pow.f64 x 3)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 y y) (-.f64 (neg.f64 y) y)) (pow.f64 x 3)) (+.f64 1 (-.f64 (*.f64 -1 (+.f64 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 y x))) (/.f64 y x)))) |
(+.f64 (fma.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) 1) (-.f64 (-.f64 (*.f64 (/.f64 y (*.f64 x x)) (*.f64 y 2)) (/.f64 y x)) (/.f64 y x))) |
(+.f64 (fma.f64 -2 (pow.f64 (/.f64 y x) 3) 1) (*.f64 (*.f64 2 (/.f64 y x)) (+.f64 -1 (/.f64 y x)))) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 y x))) |
(+.f64 1 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 y x))) |
(-.f64 (-.f64 1 (/.f64 y x)) (/.f64 y x)) |
(fma.f64 -2 (/.f64 y x) 1) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(+.f64 1 (-.f64 (*.f64 -1 (+.f64 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 y x))) (/.f64 y x))) |
(+.f64 (-.f64 (*.f64 (/.f64 y (*.f64 x x)) (*.f64 y 2)) (/.f64 y x)) (-.f64 1 (/.f64 y x))) |
(+.f64 1 (*.f64 (*.f64 2 (/.f64 y x)) (+.f64 -1 (/.f64 y x)))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 y y) (-.f64 (neg.f64 y) y)) (pow.f64 x 3)) (+.f64 1 (-.f64 (*.f64 -1 (+.f64 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 y x))) (/.f64 y x)))) |
(+.f64 (fma.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) 1) (-.f64 (-.f64 (*.f64 (/.f64 y (*.f64 x x)) (*.f64 y 2)) (/.f64 y x)) (/.f64 y x))) |
(+.f64 (fma.f64 -2 (pow.f64 (/.f64 y x) 3) 1) (*.f64 (*.f64 2 (/.f64 y x)) (+.f64 -1 (/.f64 y x)))) |
-1 |
(-.f64 (/.f64 x y) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(fma.f64 2 (/.f64 x y) -1) |
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) x) (pow.f64 y 2)))) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 2 (/.f64 x y) -1)) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1)) |
(+.f64 -1 (*.f64 (*.f64 (/.f64 x y) -2) (+.f64 -1 (/.f64 x y)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) x) (pow.f64 y 2))))) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 (-.f64 x (neg.f64 x)) (/.f64 (pow.f64 y 3) (*.f64 x x))) (+.f64 (/.f64 x y) (-.f64 (neg.f64 (/.f64 (-.f64 x (neg.f64 x)) (/.f64 (*.f64 y y) x))) (+.f64 1 (/.f64 (neg.f64 x) y))))) |
(+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 2 (/.f64 x y)))) (-.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (-.f64 1 (/.f64 x y)))) |
(+.f64 (+.f64 -1 (*.f64 (*.f64 (/.f64 x y) -2) (+.f64 -1 (/.f64 x y)))) (*.f64 2 (pow.f64 (/.f64 x y) 3))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) 1) |
(fma.f64 2 (/.f64 x y) -1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 2 (/.f64 x y) -1)) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1)) |
(+.f64 -1 (*.f64 (*.f64 (/.f64 x y) -2) (+.f64 -1 (/.f64 x y)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) (pow.f64 x 2)) (pow.f64 y 3))) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2)))) 1) |
(+.f64 (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) -1) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1)) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) -1)) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 y)) |
(+.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 y)) (*.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 y))))) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 y) (*.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 y)))) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 y) (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 1/2 (/.f64 x (sqrt.f64 -1))))) |
(+.f64 (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (+.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 y)) (*.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 y)))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 -1) 3))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 y) (*.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 y))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (/.f64 (*.f64 x x) (neg.f64 (sqrt.f64 -1)))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 y) (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 1/2 (/.f64 x (sqrt.f64 -1)))))) |
(fma.f64 (*.f64 1/8 (/.f64 (*.f64 x x) (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 y) (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 1/2 (/.f64 x (sqrt.f64 -1)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (+.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 y)) (+.f64 (*.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 y)))) (*.f64 1/16 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 1 (pow.f64 y 5)))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 -1) 3))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 y) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 x (sqrt.f64 -1))) (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 5))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (/.f64 (*.f64 x x) (neg.f64 (sqrt.f64 -1)))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 y) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 x (sqrt.f64 -1))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 3)) 1/16) (pow.f64 (sqrt.f64 -1) 5))))) |
(fma.f64 (*.f64 1/8 (/.f64 (*.f64 x x) (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 y) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 x (sqrt.f64 -1))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (/.f64 (*.f64 (pow.f64 x 3) 1/16) (pow.f64 (sqrt.f64 -1) 5)))))) |
(sqrt.f64 x) |
(+.f64 (*.f64 -1/2 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)) |
(fma.f64 -1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)) |
(fma.f64 (*.f64 y -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 (*.f64 -1/2 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 y y)) (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 (*.f64 y -1/2) (sqrt.f64 (/.f64 1 x)) (sqrt.f64 x))) |
(+.f64 (*.f64 -1/16 (*.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (*.f64 -1/2 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)))) |
(fma.f64 -1/16 (*.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 y y)) (fma.f64 -1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)))) |
(fma.f64 -1/16 (*.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (fma.f64 -1/8 (*.f64 y (*.f64 y (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 (*.f64 y -1/2) (sqrt.f64 (/.f64 1 x)) (sqrt.f64 x)))) |
Compiled 21857 to 7522 computations (65.6% saved)
13 alts after pruning (8 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1026 | 7 | 1033 |
| Fresh | 6 | 1 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 5 | 5 |
| Total | 1033 | 13 | 1046 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (-.f64 x y) (+.f64 x y)) |
| 33.1b | (/.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y)))) | |
| ✓ | 0.1b | (-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y))) |
| ▶ | 0.1b | (-.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 1 (+.f64 x y)) y)) |
| ▶ | 31.0b | (-.f64 (*.f64 2 (/.f64 x y)) 1) |
| ✓ | 32.4b | (+.f64 1 (*.f64 -2 (/.f64 y x))) |
| ▶ | 31.5b | (+.f64 -1 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))) |
| ✓ | 31.9b | (*.f64 (/.f64 (-.f64 x y) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y)) |
| ▶ | 31.8b | (*.f64 (/.f64 (-.f64 x y) (*.f64 (-.f64 x y) (+.f64 x y))) (-.f64 x y)) |
| ✓ | 0.2b | (*.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y)) |
| ▶ | 0.1b | (log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))) |
| 33.1b | 1 | |
| 32.0b | -1 |
Compiled 229 to 131 computations (42.8% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))) |
| 0.1b | (/.f64 (-.f64 x y) (+.f64 x y)) | |
| ✓ | 0.5b | (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))) |
Compiled 34 to 7 computations (79.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))) |
| 1.0ms | x | @ | 0 | (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))) |
| 1.0ms | y | @ | 0 | (log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))) |
| 1.0ms | x | @ | inf | (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))) |
| 1.0ms | y | @ | -inf | (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))) |
| 1× | batch-egg-rewrite |
| 803× | prod-diff_binary64 |
| 642× | unpow-prod-down_binary64 |
| 443× | log-prod_binary64 |
| 276× | egg-rr |
| 257× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 22 |
| 1 | 165 | 22 |
| 2 | 2507 | 22 |
| 1× | node limit |
| Inputs |
|---|
(expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))) 2) (cbrt.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))) (sqrt.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 2) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 2) (sqrt.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))))) 1/3) (cbrt.f64 (sqrt.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))))) 2) 3) (cbrt.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 3) 1) (+.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 2) (+.f64 1 (*.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 2) 1) (+.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 (/.f64 (-.f64 x y) (+.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 x y)))) 2) (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 x y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 x y)))) (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 x y)))) -1))))) |
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((x /.f64 (/.f64 (-.f64 x y) (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3) (pow.f64 (/.f64 y (+.f64 x y)) 3)) (+.f64 (pow.f64 (/.f64 x (+.f64 x y)) 2) (+.f64 (pow.f64 (/.f64 y (+.f64 x y)) 2) (*.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x y)) 2) (pow.f64 (/.f64 y (+.f64 x y)) 2)) (+.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x y) 1) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 1 (+.f64 x y))) (fma.f64 y (+.f64 x y) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (+.f64 x y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 x y) (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (+.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 (+.f64 x y)) (neg.f64 (/.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x (+.f64 x y)) (neg.f64 (/.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2) (cbrt.f64 (/.f64 x (+.f64 x y))) (neg.f64 (/.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 x (+.f64 x y))) (neg.f64 (/.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x y)) (neg.f64 (/.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x y)) (neg.f64 (/.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 x (cbrt.f64 (+.f64 x y))) (neg.f64 (/.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) (neg.f64 (/.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x y))) (neg.f64 (/.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (+.f64 x y))) (/.f64 x (sqrt.f64 (+.f64 x y))) (neg.f64 (/.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x y))) (neg.f64 (/.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x y))) (neg.f64 (/.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (-.f64 y x) (*.f64 x x)) (neg.f64 (/.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (fma.f64 x x (neg.f64 (*.f64 y y)))) (-.f64 x y) (neg.f64 (/.f64 y (+.f64 x y)))))))) |
| 1× | egg-herbie |
| 714× | associate-/l*_binary64 |
| 641× | associate-/r*_binary64 |
| 620× | associate-*r*_binary64 |
| 528× | associate-*l*_binary64 |
| 219× | associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 207 | 1520 |
| 1 | 673 | 1291 |
| 2 | 2423 | 1023 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (exp.f64 -1) 1) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 -1) x) y)) (exp.f64 -1)) 1) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 -1) x) y)) (+.f64 (*.f64 -2/3 (/.f64 (*.f64 (exp.f64 -1) (pow.f64 x 3)) (pow.f64 y 3))) (exp.f64 -1))) 1) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 -1) x) y)) (+.f64 (*.f64 -2/3 (/.f64 (*.f64 (exp.f64 -1) (pow.f64 x 3)) (pow.f64 y 3))) (+.f64 (exp.f64 -1) (*.f64 2/3 (/.f64 (*.f64 (exp.f64 -1) (pow.f64 x 4)) (pow.f64 y 4)))))) 1) |
(-.f64 (E.f64) 1) |
(-.f64 (+.f64 (E.f64) (/.f64 (*.f64 (E.f64) (-.f64 (*.f64 -1 y) y)) x)) 1) |
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 (*.f64 -1 y) y)) x) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 y) y))) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 y) y) 2)))) (pow.f64 x 2)))) 1) |
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 (*.f64 -1 y) y)) x) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)) (+.f64 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 y) y) 3)) (*.f64 -1 (*.f64 y (pow.f64 (-.f64 (*.f64 -1 y) y) 2)))))) (pow.f64 x 3)) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 y) y))) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 y) y) 2)))) (pow.f64 x 2))))) 1) |
(-.f64 (E.f64) 1) |
(-.f64 (+.f64 (E.f64) (/.f64 (*.f64 (E.f64) (-.f64 (*.f64 -1 y) y)) x)) 1) |
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 (*.f64 -1 y) y)) x) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 y) y))) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 y) y) 2)))) (pow.f64 x 2)))) 1) |
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 (*.f64 -1 y) y)) x) (+.f64 (*.f64 -1 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 y (pow.f64 (-.f64 (*.f64 -1 y) y) 2)) (+.f64 (*.f64 -1/6 (pow.f64 (-.f64 (*.f64 -1 y) y) 3)) (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)))))) (pow.f64 x 3))) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 y) y))) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 y) y) 2)))) (pow.f64 x 2))))) 1) |
(-.f64 (E.f64) 1) |
(-.f64 (+.f64 (E.f64) (*.f64 -2 (/.f64 (*.f64 (E.f64) y) x))) 1) |
(-.f64 (+.f64 (E.f64) (+.f64 (*.f64 -2 (/.f64 (*.f64 (E.f64) y) x)) (*.f64 4 (/.f64 (*.f64 (E.f64) (pow.f64 y 2)) (pow.f64 x 2))))) 1) |
(-.f64 (+.f64 (*.f64 -22/3 (/.f64 (*.f64 (E.f64) (pow.f64 y 3)) (pow.f64 x 3))) (+.f64 (E.f64) (+.f64 (*.f64 -2 (/.f64 (*.f64 (E.f64) y) x)) (*.f64 4 (/.f64 (*.f64 (E.f64) (pow.f64 y 2)) (pow.f64 x 2)))))) 1) |
(-.f64 (exp.f64 -1) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) (exp.f64 -1)) y) (exp.f64 -1)) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 x (*.f64 -1 x)) x)) (*.f64 1/2 (pow.f64 (-.f64 x (*.f64 -1 x)) 2))) (exp.f64 -1)) (pow.f64 y 2)) (+.f64 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) (exp.f64 -1)) y) (exp.f64 -1))) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 x (*.f64 -1 x)) x)) (*.f64 1/2 (pow.f64 (-.f64 x (*.f64 -1 x)) 2))) (exp.f64 -1)) (pow.f64 y 2)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 x (*.f64 -1 x)) (pow.f64 x 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (-.f64 x (*.f64 -1 x)) 2) x)) (*.f64 1/6 (pow.f64 (-.f64 x (*.f64 -1 x)) 3)))) (exp.f64 -1)) (pow.f64 y 3)) (+.f64 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) (exp.f64 -1)) y) (exp.f64 -1)))) 1) |
(-.f64 (exp.f64 -1) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 -1) (-.f64 (*.f64 -1 x) x)) y)) (exp.f64 -1)) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 x) x) 2)) (*.f64 (-.f64 (*.f64 -1 x) x) x)) (exp.f64 -1)) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 -1) (-.f64 (*.f64 -1 x) x)) y)) (exp.f64 -1))) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 x) x) 2)) (*.f64 (-.f64 (*.f64 -1 x) x) x)) (exp.f64 -1)) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 -1) (-.f64 (*.f64 -1 x) x)) y)) (+.f64 (exp.f64 -1) (*.f64 -1 (/.f64 (*.f64 (exp.f64 -1) (+.f64 (*.f64 (-.f64 (*.f64 -1 x) x) (pow.f64 x 2)) (+.f64 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 x) x) 3)) (*.f64 (pow.f64 (-.f64 (*.f64 -1 x) x) 2) x)))) (pow.f64 y 3)))))) 1) |
-1 |
(-.f64 (*.f64 2 (/.f64 x y)) 1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) 1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) (/.f64 y x)) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 y x)) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) (/.f64 y x)) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 y x)) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 y x))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))) |
-1 |
(-.f64 (/.f64 x y) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) x) (pow.f64 y 2)))) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) x) (pow.f64 y 2))))) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2))) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) (pow.f64 x 2)) (pow.f64 y 3))) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2)))) 1) |
| Outputs |
|---|
(-.f64 (exp.f64 -1) 1) |
(expm1.f64 -1) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 -1) x) y)) (exp.f64 -1)) 1) |
(+.f64 (*.f64 2 (/.f64 (exp.f64 -1) (/.f64 y x))) (expm1.f64 -1)) |
(fma.f64 2 (*.f64 (/.f64 (exp.f64 -1) y) x) (expm1.f64 -1)) |
(fma.f64 2 (*.f64 (/.f64 x y) (exp.f64 -1)) (expm1.f64 -1)) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 -1) x) y)) (+.f64 (*.f64 -2/3 (/.f64 (*.f64 (exp.f64 -1) (pow.f64 x 3)) (pow.f64 y 3))) (exp.f64 -1))) 1) |
(+.f64 (fma.f64 2 (/.f64 (exp.f64 -1) (/.f64 y x)) (fma.f64 -2/3 (/.f64 (*.f64 (exp.f64 -1) (pow.f64 x 3)) (pow.f64 y 3)) (exp.f64 -1))) -1) |
(+.f64 (fma.f64 2 (*.f64 (/.f64 (exp.f64 -1) y) x) (/.f64 (*.f64 (exp.f64 -1) -2/3) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))) (expm1.f64 -1)) |
(+.f64 (fma.f64 2 (*.f64 (/.f64 x y) (exp.f64 -1)) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 x y) 3) (exp.f64 -1)))) (expm1.f64 -1)) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 -1) x) y)) (+.f64 (*.f64 -2/3 (/.f64 (*.f64 (exp.f64 -1) (pow.f64 x 3)) (pow.f64 y 3))) (+.f64 (exp.f64 -1) (*.f64 2/3 (/.f64 (*.f64 (exp.f64 -1) (pow.f64 x 4)) (pow.f64 y 4)))))) 1) |
(+.f64 (fma.f64 2 (/.f64 (exp.f64 -1) (/.f64 y x)) (+.f64 (fma.f64 -2/3 (/.f64 (*.f64 (exp.f64 -1) (pow.f64 x 3)) (pow.f64 y 3)) (exp.f64 -1)) (*.f64 2/3 (/.f64 (*.f64 (exp.f64 -1) (pow.f64 x 4)) (pow.f64 y 4))))) -1) |
(fma.f64 2 (*.f64 (/.f64 (exp.f64 -1) y) x) (+.f64 (fma.f64 -2/3 (*.f64 (/.f64 (exp.f64 -1) (pow.f64 y 3)) (pow.f64 x 3)) (fma.f64 2/3 (/.f64 (exp.f64 -1) (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (exp.f64 -1))) -1)) |
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(-.f64 (E.f64) 1) |
(+.f64 (E.f64) -1) |
(expm1.f64 1) |
(-.f64 (+.f64 (E.f64) (/.f64 (*.f64 (E.f64) (-.f64 (*.f64 -1 y) y)) x)) 1) |
(+.f64 (E.f64) (-.f64 (/.f64 (E.f64) (/.f64 x (-.f64 (neg.f64 y) y))) 1)) |
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(+.f64 (*.f64 (/.f64 -2 x) (*.f64 y (E.f64))) (expm1.f64 1)) |
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 (*.f64 -1 y) y)) x) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 y) y))) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 y) y) 2)))) (pow.f64 x 2)))) 1) |
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(+.f64 (*.f64 (/.f64 (E.f64) x) (+.f64 (*.f64 y -2) (/.f64 (*.f64 4 (*.f64 y y)) x))) (expm1.f64 1)) |
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 (*.f64 -1 y) y)) x) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)) (+.f64 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 y) y) 3)) (*.f64 -1 (*.f64 y (pow.f64 (-.f64 (*.f64 -1 y) y) 2)))))) (pow.f64 x 3)) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 y) y))) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 y) y) 2)))) (pow.f64 x 2))))) 1) |
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(+.f64 -1 (+.f64 (fma.f64 -2 (*.f64 (/.f64 y x) (E.f64)) (E.f64)) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (+.f64 (*.f64 4 (*.f64 y y)) (/.f64 (+.f64 (*.f64 (pow.f64 y 3) -2) (*.f64 (*.f64 4 (*.f64 y y)) (-.f64 (*.f64 -1/3 y) y))) x))))) |
(-.f64 (E.f64) 1) |
(+.f64 (E.f64) -1) |
(expm1.f64 1) |
(-.f64 (+.f64 (E.f64) (/.f64 (*.f64 (E.f64) (-.f64 (*.f64 -1 y) y)) x)) 1) |
(+.f64 (E.f64) (-.f64 (/.f64 (E.f64) (/.f64 x (-.f64 (neg.f64 y) y))) 1)) |
(+.f64 -1 (fma.f64 -2 (*.f64 (/.f64 (E.f64) x) y) (E.f64))) |
(+.f64 (*.f64 (/.f64 -2 x) (*.f64 y (E.f64))) (expm1.f64 1)) |
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 (*.f64 -1 y) y)) x) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 y) y))) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 y) y) 2)))) (pow.f64 x 2)))) 1) |
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(+.f64 (*.f64 (/.f64 (E.f64) x) (+.f64 (*.f64 y -2) (/.f64 (*.f64 4 (*.f64 y y)) x))) (expm1.f64 1)) |
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 (*.f64 -1 y) y)) x) (+.f64 (*.f64 -1 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 y (pow.f64 (-.f64 (*.f64 -1 y) y) 2)) (+.f64 (*.f64 -1/6 (pow.f64 (-.f64 (*.f64 -1 y) y) 3)) (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)))))) (pow.f64 x 3))) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 y) y))) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 y) y) 2)))) (pow.f64 x 2))))) 1) |
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(+.f64 -1 (+.f64 (fma.f64 -2 (*.f64 (/.f64 y x) (E.f64)) (E.f64)) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (-.f64 (*.f64 4 (*.f64 y y)) (/.f64 (+.f64 (*.f64 2 (pow.f64 y 3)) (*.f64 (*.f64 4 (*.f64 y y)) (+.f64 y (*.f64 1/3 y)))) x))))) |
(-.f64 (E.f64) 1) |
(+.f64 (E.f64) -1) |
(expm1.f64 1) |
(-.f64 (+.f64 (E.f64) (*.f64 -2 (/.f64 (*.f64 (E.f64) y) x))) 1) |
(+.f64 (E.f64) (-.f64 (/.f64 (E.f64) (/.f64 x (-.f64 (neg.f64 y) y))) 1)) |
(+.f64 -1 (fma.f64 -2 (*.f64 (/.f64 (E.f64) x) y) (E.f64))) |
(+.f64 (*.f64 (/.f64 -2 x) (*.f64 y (E.f64))) (expm1.f64 1)) |
(-.f64 (+.f64 (E.f64) (+.f64 (*.f64 -2 (/.f64 (*.f64 (E.f64) y) x)) (*.f64 4 (/.f64 (*.f64 (E.f64) (pow.f64 y 2)) (pow.f64 x 2))))) 1) |
(+.f64 (E.f64) (-.f64 (+.f64 (/.f64 (E.f64) (/.f64 x (-.f64 (neg.f64 y) y))) (/.f64 (E.f64) (/.f64 (*.f64 x x) (fma.f64 -1 (*.f64 y (-.f64 (neg.f64 y) y)) (*.f64 1/2 (pow.f64 (-.f64 (neg.f64 y) y) 2)))))) 1)) |
(+.f64 -1 (+.f64 (fma.f64 -2 (*.f64 (/.f64 (E.f64) x) y) (E.f64)) (*.f64 (/.f64 (E.f64) x) (/.f64 (-.f64 (*.f64 1/2 (pow.f64 (*.f64 y -2) 2)) (*.f64 y (*.f64 y -2))) x)))) |
(+.f64 (*.f64 (/.f64 (E.f64) x) (+.f64 (*.f64 y -2) (/.f64 (*.f64 4 (*.f64 y y)) x))) (expm1.f64 1)) |
(-.f64 (+.f64 (*.f64 -22/3 (/.f64 (*.f64 (E.f64) (pow.f64 y 3)) (pow.f64 x 3))) (+.f64 (E.f64) (+.f64 (*.f64 -2 (/.f64 (*.f64 (E.f64) y) x)) (*.f64 4 (/.f64 (*.f64 (E.f64) (pow.f64 y 2)) (pow.f64 x 2)))))) 1) |
(+.f64 (fma.f64 -22/3 (/.f64 (E.f64) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (E.f64) (fma.f64 -2 (/.f64 (E.f64) (/.f64 x y)) (*.f64 4 (/.f64 (E.f64) (/.f64 (*.f64 x x) (*.f64 y y))))))) -1) |
(fma.f64 -22/3 (*.f64 (/.f64 (E.f64) (pow.f64 x 3)) (pow.f64 y 3)) (+.f64 (fma.f64 4 (*.f64 (/.f64 (*.f64 y y) x) (/.f64 (E.f64) x)) (/.f64 (E.f64) (/.f64 x (*.f64 y -2)))) (expm1.f64 1))) |
(fma.f64 -22/3 (/.f64 (E.f64) (pow.f64 (/.f64 x y) 3)) (+.f64 (*.f64 (/.f64 (E.f64) x) (+.f64 (*.f64 y -2) (/.f64 (*.f64 4 (*.f64 y y)) x))) (expm1.f64 1))) |
(-.f64 (exp.f64 -1) 1) |
(expm1.f64 -1) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) (exp.f64 -1)) y) (exp.f64 -1)) 1) |
(+.f64 (*.f64 2 (/.f64 (exp.f64 -1) (/.f64 y x))) (expm1.f64 -1)) |
(fma.f64 2 (*.f64 (/.f64 (exp.f64 -1) y) x) (expm1.f64 -1)) |
(fma.f64 2 (*.f64 (/.f64 x y) (exp.f64 -1)) (expm1.f64 -1)) |
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 x (*.f64 -1 x)) x)) (*.f64 1/2 (pow.f64 (-.f64 x (*.f64 -1 x)) 2))) (exp.f64 -1)) (pow.f64 y 2)) (+.f64 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) (exp.f64 -1)) y) (exp.f64 -1))) 1) |
(+.f64 (/.f64 (fma.f64 -1 (*.f64 x (-.f64 x (neg.f64 x))) (*.f64 1/2 (pow.f64 (-.f64 x (neg.f64 x)) 2))) (/.f64 (*.f64 y y) (exp.f64 -1))) (+.f64 (/.f64 (-.f64 x (neg.f64 x)) (/.f64 y (exp.f64 -1))) (expm1.f64 -1))) |
(+.f64 (fma.f64 2 (*.f64 (/.f64 (exp.f64 -1) y) x) (expm1.f64 -1)) (*.f64 (/.f64 (exp.f64 -1) y) (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 x x) 2) (*.f64 x (*.f64 x -2))) y))) |
(+.f64 (*.f64 (/.f64 (exp.f64 -1) y) (-.f64 (/.f64 (*.f64 (+.f64 x x) (-.f64 x x)) y) (*.f64 x -2))) (expm1.f64 -1)) |
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 x (*.f64 -1 x)) x)) (*.f64 1/2 (pow.f64 (-.f64 x (*.f64 -1 x)) 2))) (exp.f64 -1)) (pow.f64 y 2)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 x (*.f64 -1 x)) (pow.f64 x 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (-.f64 x (*.f64 -1 x)) 2) x)) (*.f64 1/6 (pow.f64 (-.f64 x (*.f64 -1 x)) 3)))) (exp.f64 -1)) (pow.f64 y 3)) (+.f64 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) (exp.f64 -1)) y) (exp.f64 -1)))) 1) |
(+.f64 (/.f64 (fma.f64 -1 (*.f64 x (-.f64 x (neg.f64 x))) (*.f64 1/2 (pow.f64 (-.f64 x (neg.f64 x)) 2))) (/.f64 (*.f64 y y) (exp.f64 -1))) (-.f64 (+.f64 (+.f64 (exp.f64 -1) (/.f64 (-.f64 x (neg.f64 x)) (/.f64 y (exp.f64 -1)))) (/.f64 (fma.f64 (-.f64 x (neg.f64 x)) (*.f64 x x) (fma.f64 -1 (*.f64 x (pow.f64 (-.f64 x (neg.f64 x)) 2)) (*.f64 1/6 (pow.f64 (-.f64 x (neg.f64 x)) 3)))) (/.f64 (pow.f64 y 3) (exp.f64 -1)))) 1)) |
(+.f64 (*.f64 (/.f64 (exp.f64 -1) y) (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 x x) 2) (*.f64 x (*.f64 x -2))) y)) (+.f64 (/.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 x x) 3)) (-.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 x (pow.f64 (+.f64 x x) 2)))) (/.f64 (pow.f64 y 3) (exp.f64 -1))) (fma.f64 2 (*.f64 (/.f64 (exp.f64 -1) y) x) (expm1.f64 -1)))) |
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(-.f64 (exp.f64 -1) 1) |
(expm1.f64 -1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 -1) (-.f64 (*.f64 -1 x) x)) y)) (exp.f64 -1)) 1) |
(+.f64 (*.f64 2 (/.f64 (exp.f64 -1) (/.f64 y x))) (expm1.f64 -1)) |
(fma.f64 2 (*.f64 (/.f64 (exp.f64 -1) y) x) (expm1.f64 -1)) |
(fma.f64 2 (*.f64 (/.f64 x y) (exp.f64 -1)) (expm1.f64 -1)) |
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 x) x) 2)) (*.f64 (-.f64 (*.f64 -1 x) x) x)) (exp.f64 -1)) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 -1) (-.f64 (*.f64 -1 x) x)) y)) (exp.f64 -1))) 1) |
(+.f64 (/.f64 (fma.f64 -1 (*.f64 x (-.f64 x (neg.f64 x))) (*.f64 1/2 (pow.f64 (-.f64 x (neg.f64 x)) 2))) (/.f64 (*.f64 y y) (exp.f64 -1))) (+.f64 (/.f64 (-.f64 x (neg.f64 x)) (/.f64 y (exp.f64 -1))) (expm1.f64 -1))) |
(+.f64 (fma.f64 2 (*.f64 (/.f64 (exp.f64 -1) y) x) (expm1.f64 -1)) (*.f64 (/.f64 (exp.f64 -1) y) (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 x x) 2) (*.f64 x (*.f64 x -2))) y))) |
(+.f64 (*.f64 (/.f64 (exp.f64 -1) y) (-.f64 (/.f64 (*.f64 (+.f64 x x) (-.f64 x x)) y) (*.f64 x -2))) (expm1.f64 -1)) |
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 x) x) 2)) (*.f64 (-.f64 (*.f64 -1 x) x) x)) (exp.f64 -1)) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 -1) (-.f64 (*.f64 -1 x) x)) y)) (+.f64 (exp.f64 -1) (*.f64 -1 (/.f64 (*.f64 (exp.f64 -1) (+.f64 (*.f64 (-.f64 (*.f64 -1 x) x) (pow.f64 x 2)) (+.f64 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 x) x) 3)) (*.f64 (pow.f64 (-.f64 (*.f64 -1 x) x) 2) x)))) (pow.f64 y 3)))))) 1) |
(+.f64 (/.f64 (fma.f64 -1 (*.f64 x (-.f64 x (neg.f64 x))) (*.f64 1/2 (pow.f64 (-.f64 x (neg.f64 x)) 2))) (/.f64 (*.f64 y y) (exp.f64 -1))) (-.f64 (+.f64 (+.f64 (exp.f64 -1) (/.f64 (-.f64 x (neg.f64 x)) (/.f64 y (exp.f64 -1)))) (/.f64 (fma.f64 (-.f64 x (neg.f64 x)) (*.f64 x x) (fma.f64 -1 (*.f64 x (pow.f64 (-.f64 x (neg.f64 x)) 2)) (*.f64 1/6 (pow.f64 (-.f64 x (neg.f64 x)) 3)))) (/.f64 (pow.f64 y 3) (exp.f64 -1)))) 1)) |
(+.f64 (*.f64 (/.f64 (exp.f64 -1) y) (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 x x) 2) (*.f64 x (*.f64 x -2))) y)) (+.f64 (/.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 x x) 3)) (-.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 x (pow.f64 (+.f64 x x) 2)))) (/.f64 (pow.f64 y 3) (exp.f64 -1))) (fma.f64 2 (*.f64 (/.f64 (exp.f64 -1) y) x) (expm1.f64 -1)))) |
(+.f64 -1 (+.f64 (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 (*.f64 4 (*.f64 x x)) (-.f64 (*.f64 1/3 x) x))) (pow.f64 y 3)) 1) (exp.f64 -1)) (*.f64 (/.f64 (exp.f64 -1) y) (-.f64 (/.f64 (*.f64 (+.f64 x x) (-.f64 x x)) y) (*.f64 x -2))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 x y)) 1) |
(fma.f64 2 (/.f64 x y) -1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) 1) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 2 (/.f64 x y) -1)) |
(fma.f64 -2 (/.f64 x (/.f64 (*.f64 y y) x)) (fma.f64 2 (/.f64 x y) -1)) |
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1) |
(+.f64 (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) -1) |
(fma.f64 -2 (/.f64 x (/.f64 (*.f64 y y) x)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1)) |
(fma.f64 -2 (/.f64 x (/.f64 (*.f64 y y) x)) (fma.f64 2 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) -1)) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x)) |
(+.f64 1 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 y x))) |
(-.f64 (-.f64 1 (/.f64 y x)) (/.f64 y x)) |
(fma.f64 -2 (/.f64 y x) 1) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) (/.f64 y x)) |
(-.f64 (+.f64 1 (*.f64 -1 (+.f64 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 y x)))) (/.f64 y x)) |
(-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (*.f64 -2 (/.f64 y x)))) (/.f64 y x)) (/.f64 y x)) |
(+.f64 1 (fma.f64 -2 (/.f64 y x) (*.f64 2 (*.f64 (/.f64 y x) (/.f64 y x))))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 y x)) |
(-.f64 (+.f64 (+.f64 (/.f64 (*.f64 (-.f64 (neg.f64 y) y) (*.f64 y y)) (pow.f64 x 3)) 1) (*.f64 -1 (+.f64 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 y x)))) (/.f64 y x)) |
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (*.f64 -2 (/.f64 y x)))) (/.f64 y x)) (-.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x))) |
(+.f64 (fma.f64 -2 (/.f64 y x) 1) (*.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (+.f64 2 (*.f64 -2 (/.f64 y x))))) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x)) |
(+.f64 1 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 y x))) |
(-.f64 (-.f64 1 (/.f64 y x)) (/.f64 y x)) |
(fma.f64 -2 (/.f64 y x) 1) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) (/.f64 y x)) |
(-.f64 (+.f64 1 (*.f64 -1 (+.f64 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 y x)))) (/.f64 y x)) |
(-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (*.f64 -2 (/.f64 y x)))) (/.f64 y x)) (/.f64 y x)) |
(+.f64 1 (fma.f64 -2 (/.f64 y x) (*.f64 2 (*.f64 (/.f64 y x) (/.f64 y x))))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 y x)) |
(-.f64 (+.f64 (+.f64 (/.f64 (*.f64 (-.f64 (neg.f64 y) y) (*.f64 y y)) (pow.f64 x 3)) 1) (*.f64 -1 (+.f64 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 y x)))) (/.f64 y x)) |
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (*.f64 -2 (/.f64 y x)))) (/.f64 y x)) (-.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x))) |
(+.f64 (fma.f64 -2 (/.f64 y x) 1) (*.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (+.f64 2 (*.f64 -2 (/.f64 y x))))) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 y x))) |
(+.f64 1 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 y x))) |
(-.f64 (-.f64 1 (/.f64 y x)) (/.f64 y x)) |
(fma.f64 -2 (/.f64 y x) 1) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(-.f64 (+.f64 1 (*.f64 -1 (+.f64 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 y x)))) (/.f64 y x)) |
(-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (*.f64 -2 (/.f64 y x)))) (/.f64 y x)) (/.f64 y x)) |
(+.f64 1 (fma.f64 -2 (/.f64 y x) (*.f64 2 (*.f64 (/.f64 y x) (/.f64 y x))))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))) |
(-.f64 (+.f64 (+.f64 (/.f64 (*.f64 (-.f64 (neg.f64 y) y) (*.f64 y y)) (pow.f64 x 3)) 1) (*.f64 -1 (+.f64 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 y x)))) (/.f64 y x)) |
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (*.f64 -2 (/.f64 y x)))) (/.f64 y x)) (-.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x))) |
(+.f64 (fma.f64 -2 (/.f64 y x) 1) (*.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (+.f64 2 (*.f64 -2 (/.f64 y x))))) |
-1 |
(-.f64 (/.f64 x y) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(fma.f64 2 (/.f64 x y) -1) |
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) x) (pow.f64 y 2)))) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 2 (/.f64 x y) -1)) |
(fma.f64 -2 (/.f64 x (/.f64 (*.f64 y y) x)) (fma.f64 2 (/.f64 x y) -1)) |
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) x) (pow.f64 y 2))))) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 (-.f64 x (neg.f64 x)) (/.f64 (pow.f64 y 3) (*.f64 x x))) (+.f64 (/.f64 x y) (-.f64 (/.f64 (neg.f64 (*.f64 x (-.f64 x (neg.f64 x)))) (*.f64 y y)) (+.f64 1 (/.f64 (neg.f64 x) y))))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 (*.f64 x (*.f64 x -2)) (*.f64 y y))) (-.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (-.f64 1 (/.f64 x y)))) |
(+.f64 (+.f64 -1 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))) (*.f64 2 (pow.f64 (/.f64 x y) 3))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) 1) |
(fma.f64 2 (/.f64 x y) -1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 2 (/.f64 x y) -1)) |
(fma.f64 -2 (/.f64 x (/.f64 (*.f64 y y) x)) (fma.f64 2 (/.f64 x y) -1)) |
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) (pow.f64 x 2)) (pow.f64 y 3))) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2)))) 1) |
(+.f64 (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) -1) |
(fma.f64 -2 (/.f64 x (/.f64 (*.f64 y y) x)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1)) |
(fma.f64 -2 (/.f64 x (/.f64 (*.f64 y y) x)) (fma.f64 2 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) -1)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 2 (/.f64 x y)) |
| ✓ | 0.0b | (-.f64 (*.f64 2 (/.f64 x y)) 1) |
Compiled 21 to 11 computations (47.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (*.f64 2 (/.f64 x y)) |
| 1.0ms | x | @ | 0 | (-.f64 (*.f64 2 (/.f64 x y)) 1) |
| 1.0ms | x | @ | inf | (*.f64 2 (/.f64 x y)) |
| 1.0ms | x | @ | inf | (-.f64 (*.f64 2 (/.f64 x y)) 1) |
| 1.0ms | y | @ | inf | (-.f64 (*.f64 2 (/.f64 x y)) 1) |
| 1× | batch-egg-rewrite |
| 867× | pow1_binary64 |
| 808× | add-log-exp_binary64 |
| 806× | log1p-expm1-u_binary64 |
| 806× | expm1-log1p-u_binary64 |
| 793× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 15 |
| 1 | 174 | 15 |
| 2 | 2225 | 15 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 2 (/.f64 x y)) 1) |
(*.f64 2 (/.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (/.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 2 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2 (/.f64 x y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 (/.f64 x y) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2 (/.f64 x y) -1)) (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 x y) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 x y) -1)) 2) (cbrt.f64 (fma.f64 2 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 (/.f64 x y) -1)) (sqrt.f64 (fma.f64 2 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 x y)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (*.f64 2 (/.f64 x y)) 2) (fma.f64 2 (/.f64 x y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 x y)) 2) -1) (/.f64 1 (fma.f64 2 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 2 (/.f64 x y))) 1) (-.f64 (sqrt.f64 (*.f64 2 (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 x y)) 2) (fma.f64 2 (/.f64 x y) 1)) (+.f64 (pow.f64 (*.f64 2 (/.f64 x y)) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 2 (/.f64 x y) 1) (+.f64 (pow.f64 (*.f64 2 (/.f64 x y)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 x y)) 3) -1) (+.f64 (pow.f64 (*.f64 2 (/.f64 x y)) 2) (fma.f64 2 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 x y)) 3) -1) (+.f64 (pow.f64 (*.f64 2 (/.f64 x y)) 2) (-.f64 1 (*.f64 (*.f64 2 (/.f64 x y)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 x y)) 2) -1) (fma.f64 2 (/.f64 x y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 x y)) 2) -1) (-.f64 (*.f64 2 (/.f64 x y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 x y)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 x y)) 2) (fma.f64 2 (/.f64 x y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 x y)) 2) -1)) (neg.f64 (fma.f64 2 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2 (/.f64 x y) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2 (/.f64 x y) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 x y) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2 (/.f64 x y) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2 (/.f64 x y) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2 (/.f64 x y) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (*.f64 2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 2 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 x y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) 2 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2 (/.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x y))) 2) (cbrt.f64 (*.f64 2 (/.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (/.f64 x y))) (sqrt.f64 (*.f64 2 (/.f64 x y))) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 2 (/.f64 x y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 2 (/.f64 x y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 2) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (/.f64 x y)))))))) |
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 2× | associate-/l*_binary64 |
| 1× | associate-*r/_binary64 |
| 1× | associate-*l/_binary64 |
| 1× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 24 |
| 1 | 10 | 24 |
| 2 | 14 | 24 |
| 3 | 18 | 24 |
| 4 | 19 | 24 |
| 1× | saturated |
| Inputs |
|---|
-1 |
(*.f64 2 (/.f64 x y)) |
(*.f64 2 (/.f64 x y)) |
(*.f64 2 (/.f64 x y)) |
-1 |
-1 |
| Outputs |
|---|
-1 |
(*.f64 2 (/.f64 x y)) |
(*.f64 2 (/.f64 x y)) |
(*.f64 2 (/.f64 x y)) |
-1 |
-1 |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (/.f64 x y) -2) |
| ✓ | 0.1b | (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2))) |
Compiled 46 to 24 computations (47.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2))) |
| 1.0ms | y | @ | -inf | (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2))) |
| 1.0ms | y | @ | 0 | (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2))) |
| 1.0ms | y | @ | inf | (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2))) |
| 1.0ms | x | @ | -inf | (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2))) |
| 1× | batch-egg-rewrite |
| 518× | log-prod_binary64 |
| 356× | pow-prod-down_binary64 |
| 349× | prod-diff_binary64 |
| 267× | pow2_binary64 |
| 188× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 206 | 21 |
| 2 | 2938 | 21 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2))) |
(*.f64 (/.f64 x y) -2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x y) 2) (*.f64 -2 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 (pow.f64 (/.f64 x y) 2)) (*.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) -2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 x y) 2) 1) (*.f64 (*.f64 -2 (pow.f64 (/.f64 x y) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (/.f64 x y) -2 2)) (/.f64 x y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (/.f64 x y) -2 2)) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (/.f64 x y) -2 2)) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (/.f64 x y) -2 2)) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) -2 2)))) 1)))) 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| 1× | egg-herbie |
| 757× | associate-/l*_binary64 |
| 612× | fma-def_binary64 |
| 469× | associate-/r*_binary64 |
| 405× | associate-*l/_binary64 |
| 391× | associate-/l/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 588 |
| 1 | 32 | 588 |
| 2 | 65 | 588 |
| 3 | 169 | 516 |
| 4 | 843 | 480 |
| 5 | 5491 | 480 |
| 6 | 6839 | 480 |
| 7 | 7882 | 480 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 (/.f64 x y)) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) |
(*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) |
(*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) |
(*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) |
(*.f64 2 (/.f64 x y)) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) |
(*.f64 2 (/.f64 x y)) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 -2 (/.f64 x y)) |
| Outputs |
|---|
(*.f64 2 (/.f64 x y)) |
(/.f64 (*.f64 2 x) y) |
(*.f64 x (/.f64 2 y)) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) |
(fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 2 x) y)) |
(fma.f64 2 (/.f64 x y) (*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)))) |
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 x (/.f64 -2 y)))) |
(*.f64 (/.f64 x y) (fma.f64 x (/.f64 -2 y) 2)) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) |
(fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 2 x) y)) |
(fma.f64 2 (/.f64 x y) (*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)))) |
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 x (/.f64 -2 y)))) |
(*.f64 (/.f64 x y) (fma.f64 x (/.f64 -2 y) 2)) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) |
(fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 2 x) y)) |
(fma.f64 2 (/.f64 x y) (*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)))) |
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 x (/.f64 -2 y)))) |
(*.f64 (/.f64 x y) (fma.f64 x (/.f64 -2 y) 2)) |
(*.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 x y) (*.f64 x (/.f64 -2 y))) |
(*.f64 x (*.f64 x (/.f64 -2 (*.f64 y y)))) |
(/.f64 x (/.f64 (/.f64 (*.f64 y y) x) -2)) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) |
(fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 2 x) y)) |
(fma.f64 2 (/.f64 x y) (*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)))) |
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 x (/.f64 -2 y)))) |
(*.f64 (/.f64 x y) (fma.f64 x (/.f64 -2 y) 2)) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) |
(fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 2 x) y)) |
(fma.f64 2 (/.f64 x y) (*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)))) |
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 x (/.f64 -2 y)))) |
(*.f64 (/.f64 x y) (fma.f64 x (/.f64 -2 y) 2)) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) |
(fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 2 x) y)) |
(fma.f64 2 (/.f64 x y) (*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)))) |
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 x (/.f64 -2 y)))) |
(*.f64 (/.f64 x y) (fma.f64 x (/.f64 -2 y) 2)) |
(*.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 x y) (*.f64 x (/.f64 -2 y))) |
(*.f64 x (*.f64 x (/.f64 -2 (*.f64 y y)))) |
(/.f64 x (/.f64 (/.f64 (*.f64 y y) x) -2)) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) |
(fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 2 x) y)) |
(fma.f64 2 (/.f64 x y) (*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)))) |
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 x (/.f64 -2 y)))) |
(*.f64 (/.f64 x y) (fma.f64 x (/.f64 -2 y) 2)) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) |
(fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 2 x) y)) |
(fma.f64 2 (/.f64 x y) (*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)))) |
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 x (/.f64 -2 y)))) |
(*.f64 (/.f64 x y) (fma.f64 x (/.f64 -2 y) 2)) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) |
(fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 2 x) y)) |
(fma.f64 2 (/.f64 x y) (*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)))) |
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 x (/.f64 -2 y)))) |
(*.f64 (/.f64 x y) (fma.f64 x (/.f64 -2 y) 2)) |
(*.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 x y) (*.f64 x (/.f64 -2 y))) |
(*.f64 x (*.f64 x (/.f64 -2 (*.f64 y y)))) |
(/.f64 x (/.f64 (/.f64 (*.f64 y y) x) -2)) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) |
(fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 2 x) y)) |
(fma.f64 2 (/.f64 x y) (*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)))) |
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 x (/.f64 -2 y)))) |
(*.f64 (/.f64 x y) (fma.f64 x (/.f64 -2 y) 2)) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) |
(fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 2 x) y)) |
(fma.f64 2 (/.f64 x y) (*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)))) |
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 x (/.f64 -2 y)))) |
(*.f64 (/.f64 x y) (fma.f64 x (/.f64 -2 y) 2)) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) |
(fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 2 x) y)) |
(fma.f64 2 (/.f64 x y) (*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)))) |
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 x (/.f64 -2 y)))) |
(*.f64 (/.f64 x y) (fma.f64 x (/.f64 -2 y) 2)) |
(*.f64 2 (/.f64 x y)) |
(/.f64 (*.f64 2 x) y) |
(*.f64 x (/.f64 2 y)) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) |
(fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 2 x) y)) |
(fma.f64 2 (/.f64 x y) (*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)))) |
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 x (/.f64 -2 y)))) |
(*.f64 (/.f64 x y) (fma.f64 x (/.f64 -2 y) 2)) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) |
(fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 2 x) y)) |
(fma.f64 2 (/.f64 x y) (*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)))) |
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 x (/.f64 -2 y)))) |
(*.f64 (/.f64 x y) (fma.f64 x (/.f64 -2 y) 2)) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) |
(fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 2 x) y)) |
(fma.f64 2 (/.f64 x y) (*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)))) |
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 x (/.f64 -2 y)))) |
(*.f64 (/.f64 x y) (fma.f64 x (/.f64 -2 y) 2)) |
(*.f64 2 (/.f64 x y)) |
(/.f64 (*.f64 2 x) y) |
(*.f64 x (/.f64 2 y)) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) |
(fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 2 x) y)) |
(fma.f64 2 (/.f64 x y) (*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)))) |
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 x (/.f64 -2 y)))) |
(*.f64 (/.f64 x y) (fma.f64 x (/.f64 -2 y) 2)) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) |
(fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 2 x) y)) |
(fma.f64 2 (/.f64 x y) (*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)))) |
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 x (/.f64 -2 y)))) |
(*.f64 (/.f64 x y) (fma.f64 x (/.f64 -2 y) 2)) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) |
(fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 2 x) y)) |
(fma.f64 2 (/.f64 x y) (*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)))) |
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 x (/.f64 -2 y)))) |
(*.f64 (/.f64 x y) (fma.f64 x (/.f64 -2 y) 2)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 (/.f64 x y) -2) |
(*.f64 x (/.f64 -2 y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 (/.f64 x y) -2) |
(*.f64 x (/.f64 -2 y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 (/.f64 x y) -2) |
(*.f64 x (/.f64 -2 y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 (/.f64 x y) -2) |
(*.f64 x (/.f64 -2 y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 (/.f64 x y) -2) |
(*.f64 x (/.f64 -2 y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 (/.f64 x y) -2) |
(*.f64 x (/.f64 -2 y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 (/.f64 x y) -2) |
(*.f64 x (/.f64 -2 y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 (/.f64 x y) -2) |
(*.f64 x (/.f64 -2 y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 (/.f64 x y) -2) |
(*.f64 x (/.f64 -2 y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 (/.f64 x y) -2) |
(*.f64 x (/.f64 -2 y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 (/.f64 x y) -2) |
(*.f64 x (/.f64 -2 y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 (/.f64 x y) -2) |
(*.f64 x (/.f64 -2 y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 (/.f64 x y) -2) |
(*.f64 x (/.f64 -2 y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 (/.f64 x y) -2) |
(*.f64 x (/.f64 -2 y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 (/.f64 x y) -2) |
(*.f64 x (/.f64 -2 y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 (/.f64 x y) -2) |
(*.f64 x (/.f64 -2 y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 (/.f64 x y) -2) |
(*.f64 x (/.f64 -2 y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 (/.f64 x y) -2) |
(*.f64 x (/.f64 -2 y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 (/.f64 x y) -2) |
(*.f64 x (/.f64 -2 y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 (/.f64 x y) -2) |
(*.f64 x (/.f64 -2 y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 (/.f64 x y) -2) |
(*.f64 x (/.f64 -2 y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 (/.f64 x y) -2) |
(*.f64 x (/.f64 -2 y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 (/.f64 x y) -2) |
(*.f64 x (/.f64 -2 y)) |
(*.f64 -2 (/.f64 x y)) |
(*.f64 (/.f64 x y) -2) |
(*.f64 x (/.f64 -2 y)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 x (+.f64 x y)) | |
| 0.0b | (/.f64 1 (+.f64 x y)) | |
| ✓ | 0.1b | (-.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 1 (+.f64 x y)) y)) |
| ✓ | 0.2b | (*.f64 (/.f64 1 (+.f64 x y)) y) |
Compiled 38 to 14 computations (63.2% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 1 (+.f64 x y)) y) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 1 (+.f64 x y)) y) |
| 0.0ms | y | @ | inf | (-.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 1 (+.f64 x y)) y)) |
| 0.0ms | x | @ | -inf | (-.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 1 (+.f64 x y)) y)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 1 (+.f64 x y)) y) |
| 1× | batch-egg-rewrite |
| 548× | log-prod_binary64 |
| 427× | fma-def_binary64 |
| 390× | pow-prod-down_binary64 |
| 276× | pow2_binary64 |
| 224× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 207 | 17 |
| 2 | 3182 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (+.f64 x y)) y) |
(-.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 1 (+.f64 x y)) y)) |
| Outputs |
|---|
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(-.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 y (+.f64 x y)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y (+.f64 x y)))) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 x y))) 2) (/.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 y (+.f64 x y)))) (-.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 y (+.f64 x y)))) (fma.f64 (/.f64 -1 (+.f64 x y)) y (/.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 x y))) 2)) (cbrt.f64 (/.f64 y (+.f64 x y))) (/.f64 x (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x))) (/.f64 (neg.f64 y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x))) (*.f64 (/.f64 (neg.f64 y) (+.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y) (/.f64 (neg.f64 y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y) (*.f64 (/.f64 (neg.f64 y) (+.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x (+.f64 x y)) x) (/.f64 1 (+.f64 x y)) (neg.f64 (pow.f64 (/.f64 y (+.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x (+.f64 x y)) x) (/.f64 1 (+.f64 x y)) (*.f64 (/.f64 (neg.f64 y) (+.f64 x y)) (/.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -1 (+.f64 x y)) 1) y (/.f64 x (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -1 (+.f64 x y)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (/.f64 x (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -1 (+.f64 x y)) (sqrt.f64 y)) (sqrt.f64 y) (/.f64 x (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (+.f64 x y) -2))) (/.f64 1 (cbrt.f64 (+.f64 x y))) (/.f64 (neg.f64 y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (+.f64 x y) -2))) (/.f64 1 (cbrt.f64 (+.f64 x y))) (*.f64 (/.f64 (neg.f64 y) (+.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (+.f64 x y) -1/2)) (pow.f64 (+.f64 x y) -1/2) (/.f64 (neg.f64 y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (+.f64 x y) -1/2)) (pow.f64 (+.f64 x y) -1/2) (*.f64 (/.f64 (neg.f64 y) (+.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 5) (cbrt.f64 (/.f64 x (+.f64 x y))) (neg.f64 (pow.f64 (/.f64 y (+.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 5) (cbrt.f64 (/.f64 x (+.f64 x y))) (*.f64 (/.f64 (neg.f64 y) (+.f64 x y)) (/.f64 y (+.f64 x y)))))))) |
| 1× | egg-herbie |
| 445× | fma-def_binary64 |
| 431× | sub-neg_binary64 |
| 397× | times-frac_binary64 |
| 350× | distribute-rgt-neg-in_binary64 |
| 277× | distribute-neg-frac_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 980 |
| 1 | 296 | 905 |
| 2 | 932 | 765 |
| 3 | 4633 | 732 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.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 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.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 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.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 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 x y)) 1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) 1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 y x))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 y (*.f64 -1 y)) x))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 y (*.f64 -1 y)) x)))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 y (*.f64 -1 y)) x))))) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 y x))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 x y)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (/.f64 (neg.f64 x) y)) |
(-.f64 1 (/.f64 x y)) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (+.f64 1 (/.f64 (neg.f64 x) y)) (/.f64 (*.f64 x x) (*.f64 y y))) |
(+.f64 (-.f64 1 (/.f64 x y)) (/.f64 x (/.f64 (*.f64 y y) x))) |
(+.f64 1 (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) -1))) |
(+.f64 1 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) |
(+.f64 (+.f64 1 (/.f64 (*.f64 x x) (*.f64 y y))) (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) |
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (-.f64 (-.f64 1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 x y))) |
(+.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) -1))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y))) (pow.f64 (/.f64 x y) 3))) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 (/.f64 y x) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))) |
(-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) |
(*.f64 (+.f64 (/.f64 (neg.f64 y) x) 1) (/.f64 y x)) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 y x) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) |
(+.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 3)) (*.f64 (/.f64 y x) (/.f64 y x))) |
(*.f64 (/.f64 y x) (-.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) (/.f64 y x))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))) |
(+.f64 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)) (*.f64 -1 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))) |
(+.f64 (/.f64 y x) (-.f64 (pow.f64 (/.f64 y x) 3) (fma.f64 (/.f64 y x) (/.f64 y x) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) |
(-.f64 (*.f64 (/.f64 y x) (-.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) (/.f64 y x))) (pow.f64 (/.f64 y x) 4)) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 (/.f64 y x) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))) |
(-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) |
(*.f64 (+.f64 (/.f64 (neg.f64 y) x) 1) (/.f64 y x)) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 y x) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) |
(+.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 3)) (*.f64 (/.f64 y x) (/.f64 y x))) |
(*.f64 (/.f64 y x) (-.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) (/.f64 y x))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))) |
(+.f64 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)) (*.f64 -1 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))) |
(+.f64 (/.f64 y x) (-.f64 (pow.f64 (/.f64 y x) 3) (fma.f64 (/.f64 y x) (/.f64 y x) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) |
(-.f64 (*.f64 (/.f64 y x) (-.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) (/.f64 y x))) (pow.f64 (/.f64 y x) 4)) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 (/.f64 y x) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))) |
(-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) |
(*.f64 (+.f64 (/.f64 (neg.f64 y) x) 1) (/.f64 y x)) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 y x) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) |
(+.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 3)) (*.f64 (/.f64 y x) (/.f64 y x))) |
(*.f64 (/.f64 y x) (-.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) (/.f64 y x))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))) |
(+.f64 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)) (*.f64 -1 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))) |
(+.f64 (/.f64 y x) (-.f64 (pow.f64 (/.f64 y x) 3) (fma.f64 (/.f64 y x) (/.f64 y x) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) |
(-.f64 (*.f64 (/.f64 y x) (-.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) (/.f64 y x))) (pow.f64 (/.f64 y x) 4)) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (/.f64 (neg.f64 x) y)) |
(-.f64 1 (/.f64 x y)) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (+.f64 1 (/.f64 (neg.f64 x) y)) (/.f64 (*.f64 x x) (*.f64 y y))) |
(+.f64 (-.f64 1 (/.f64 x y)) (/.f64 x (/.f64 (*.f64 y y) x))) |
(+.f64 1 (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) -1))) |
(+.f64 1 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) |
(+.f64 (+.f64 1 (/.f64 (*.f64 x x) (*.f64 y y))) (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) |
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (-.f64 (-.f64 1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 x y))) |
(+.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) -1))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y))) (pow.f64 (/.f64 x y) 3))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (/.f64 (neg.f64 x) y)) |
(-.f64 1 (/.f64 x y)) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (+.f64 1 (/.f64 (neg.f64 x) y)) (/.f64 (*.f64 x x) (*.f64 y y))) |
(+.f64 (-.f64 1 (/.f64 x y)) (/.f64 x (/.f64 (*.f64 y y) x))) |
(+.f64 1 (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) -1))) |
(+.f64 1 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) |
(+.f64 (+.f64 1 (/.f64 (*.f64 x x) (*.f64 y y))) (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) |
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (-.f64 (-.f64 1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 x y))) |
(+.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) -1))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y))) (pow.f64 (/.f64 x y) 3))) |
-1 |
(-.f64 (*.f64 2 (/.f64 x y)) 1) |
(fma.f64 2 (/.f64 x y) -1) |
(fma.f64 (/.f64 x y) 2 -1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) 1) |
(+.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -2) (fma.f64 2 (/.f64 x y) -1)) |
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) -2 (fma.f64 (/.f64 x y) 2 -1)) |
(+.f64 -1 (*.f64 -2 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y))))) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1) |
(+.f64 (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) -1) |
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) -2 (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1)) |
(fma.f64 2 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) -2 -1)) |
(+.f64 (*.f64 -2 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y)))) (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1)) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 y x))) |
(+.f64 1 (*.f64 (/.f64 y x) -2)) |
(fma.f64 (/.f64 y x) -2 1) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (-.f64 (fma.f64 -2 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x))))) |
(+.f64 1 (+.f64 (fma.f64 (/.f64 y x) -2 (*.f64 (/.f64 y x) (/.f64 y x))) (*.f64 (/.f64 y x) (/.f64 y x)))) |
(fma.f64 2 (*.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 (/.f64 y x) -2 1)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(+.f64 1 (-.f64 (+.f64 (fma.f64 -2 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))) (+.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x))) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))) |
(+.f64 1 (+.f64 (-.f64 (fma.f64 (/.f64 y x) -2 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))) |
(+.f64 1 (fma.f64 (/.f64 y x) -2 (*.f64 2 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (pow.f64 (/.f64 y x) 3))))) |
(+.f64 (fma.f64 (/.f64 y x) -2 1) (*.f64 2 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (pow.f64 (/.f64 y x) 3)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 y (*.f64 -1 y)) x))) |
(+.f64 1 (*.f64 (/.f64 y x) -2)) |
(fma.f64 (/.f64 y x) -2 1) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 y (*.f64 -1 y)) x)))) |
(+.f64 1 (-.f64 (fma.f64 -2 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x))))) |
(+.f64 1 (+.f64 (fma.f64 (/.f64 y x) -2 (*.f64 (/.f64 y x) (/.f64 y x))) (*.f64 (/.f64 y x) (/.f64 y x)))) |
(fma.f64 2 (*.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 (/.f64 y x) -2 1)) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 y (*.f64 -1 y)) x))))) |
(fma.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (fma.f64 2 (/.f64 (*.f64 y y) (*.f64 x x)) (neg.f64 (/.f64 (-.f64 y (neg.f64 y)) x))))) |
(+.f64 (-.f64 (*.f64 2 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (+.f64 y y) x)) (fma.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) -2 1)) |
(fma.f64 (pow.f64 (/.f64 y x) 3) -2 (fma.f64 2 (*.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 (/.f64 y x) -2 1))) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 y x))) |
(+.f64 1 (*.f64 (/.f64 y x) -2)) |
(fma.f64 (/.f64 y x) -2 1) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(+.f64 1 (-.f64 (fma.f64 -2 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x))))) |
(+.f64 1 (+.f64 (fma.f64 (/.f64 y x) -2 (*.f64 (/.f64 y x) (/.f64 y x))) (*.f64 (/.f64 y x) (/.f64 y x)))) |
(fma.f64 2 (*.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 (/.f64 y x) -2 1)) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))) |
(fma.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (fma.f64 2 (/.f64 (*.f64 y y) (*.f64 x x)) (neg.f64 (/.f64 (-.f64 y (neg.f64 y)) x))))) |
(+.f64 (-.f64 (*.f64 2 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (+.f64 y y) x)) (fma.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) -2 1)) |
(fma.f64 (pow.f64 (/.f64 y x) 3) -2 (fma.f64 2 (*.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 (/.f64 y x) -2 1))) |
-1 |
(-.f64 (*.f64 2 (/.f64 x y)) 1) |
(fma.f64 2 (/.f64 x y) -1) |
(fma.f64 (/.f64 x y) 2 -1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)) |
(+.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -2) (fma.f64 2 (/.f64 x y) -1)) |
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) -2 (fma.f64 (/.f64 x y) 2 -1)) |
(+.f64 -1 (*.f64 -2 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))) |
(-.f64 (-.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 2 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (/.f64 (*.f64 x x) (*.f64 y y))) (+.f64 1 (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
(-.f64 (-.f64 (fma.f64 (/.f64 x y) 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 x (/.f64 (*.f64 y y) x))) (+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (-.f64 1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
(+.f64 (pow.f64 (/.f64 x y) 3) (+.f64 (*.f64 (/.f64 x y) (-.f64 2 (/.f64 x y))) (-.f64 (pow.f64 (/.f64 x y) 3) (fma.f64 (/.f64 x y) (/.f64 x y) 1)))) |
(+.f64 (+.f64 (pow.f64 (/.f64 x y) 3) (*.f64 -2 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y))))) (+.f64 -1 (pow.f64 (/.f64 x y) 3))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) 1) |
(fma.f64 2 (/.f64 x y) -1) |
(fma.f64 (/.f64 x y) 2 -1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1) |
(+.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -2) (fma.f64 2 (/.f64 x y) -1)) |
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) -2 (fma.f64 (/.f64 x y) 2 -1)) |
(+.f64 -1 (*.f64 -2 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1) |
(+.f64 (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) -1) |
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) -2 (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1)) |
(fma.f64 2 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) -2 -1)) |
(+.f64 (*.f64 -2 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y)))) (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (/.f64 (-.f64 x y) (*.f64 (-.f64 x y) (+.f64 x y))) (-.f64 x y)) |
| ✓ | 30.5b | (/.f64 (-.f64 x y) (*.f64 (-.f64 x y) (+.f64 x y))) |
Compiled 43 to 7 computations (83.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 x y) (*.f64 (-.f64 x y) (+.f64 x y))) |
| 0.0ms | y | @ | inf | (/.f64 (-.f64 x y) (*.f64 (-.f64 x y) (+.f64 x y))) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 x y) (*.f64 (-.f64 x y) (+.f64 x y))) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 x y) (*.f64 (-.f64 x y) (+.f64 x y))) |
| 0.0ms | y | @ | -inf | (/.f64 (-.f64 x y) (*.f64 (-.f64 x y) (+.f64 x y))) |
| 1× | batch-egg-rewrite |
| 572× | log-prod_binary64 |
| 462× | pow-prod-down_binary64 |
| 381× | fma-def_binary64 |
| 263× | pow2_binary64 |
| 223× | pow-unpow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 38 |
| 1 | 192 | 17 |
| 2 | 3349 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (*.f64 (-.f64 x y) (+.f64 x y))) |
(*.f64 (/.f64 (-.f64 x y) (*.f64 (-.f64 x y) (+.f64 x y))) (-.f64 x y)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 676× | times-frac_binary64 |
| 588× | fma-def_binary64 |
| 427× | div-sub_binary64 |
| 402× | sub-neg_binary64 |
| 400× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 1023 |
| 1 | 316 | 918 |
| 2 | 1112 | 792 |
| 3 | 5626 | 792 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.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 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.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 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.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 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.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 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 x y)) 1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) 1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) (/.f64 y x)) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 y x)) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) (/.f64 y x)) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 y x)) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 y x))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))) |
-1 |
(-.f64 (/.f64 x y) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) x) (pow.f64 y 2)))) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) x) (pow.f64 y 2))))) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2))) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) (pow.f64 x 2)) (pow.f64 y 3))) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2)))) 1) |
| Outputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 1 y) (/.f64 (neg.f64 x) (*.f64 y y))) |
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))) |
(+.f64 (+.f64 (/.f64 1 y) (/.f64 (neg.f64 x) (*.f64 y y))) (/.f64 (*.f64 x x) (pow.f64 y 3))) |
(+.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 x (/.f64 (pow.f64 y 3) x))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
(+.f64 (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) (/.f64 1 y)) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) |
(+.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) (-.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 (pow.f64 x 3) (pow.f64 y 4)))) |
(+.f64 (/.f64 1 y) (-.f64 (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1 (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 4)))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))) |
(+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) (*.f64 x x))) |
(-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) (*.f64 x x))) (/.f64 (*.f64 y y) (pow.f64 x 3))) |
(+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) y))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 y x) -1))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) (*.f64 x x))) (/.f64 (*.f64 y y) (pow.f64 x 3)))) |
(-.f64 (+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) y))) (/.f64 (pow.f64 y 3) (pow.f64 x 4))) |
(+.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 y x) -1)) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))) |
(+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) (*.f64 x x))) |
(-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) (*.f64 x x))) (/.f64 (*.f64 y y) (pow.f64 x 3))) |
(+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) y))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 y x) -1))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) (*.f64 x x))) (/.f64 (*.f64 y y) (pow.f64 x 3)))) |
(-.f64 (+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) y))) (/.f64 (pow.f64 y 3) (pow.f64 x 4))) |
(+.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 y x) -1)) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))) |
(+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) (*.f64 x x))) |
(-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) (*.f64 x x))) (/.f64 (*.f64 y y) (pow.f64 x 3))) |
(+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) y))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 y x) -1))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) (*.f64 x x))) (/.f64 (*.f64 y y) (pow.f64 x 3)))) |
(-.f64 (+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) y))) (/.f64 (pow.f64 y 3) (pow.f64 x 4))) |
(+.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 y x) -1)) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 1 y) (/.f64 (neg.f64 x) (*.f64 y y))) |
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))) |
(+.f64 (+.f64 (/.f64 1 y) (/.f64 (neg.f64 x) (*.f64 y y))) (/.f64 (*.f64 x x) (pow.f64 y 3))) |
(+.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 x (/.f64 (pow.f64 y 3) x))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
(+.f64 (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) (/.f64 1 y)) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) |
(+.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) (-.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 (pow.f64 x 3) (pow.f64 y 4)))) |
(+.f64 (/.f64 1 y) (-.f64 (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1 (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 4)))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 1 y) (/.f64 (neg.f64 x) (*.f64 y y))) |
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))) |
(+.f64 (+.f64 (/.f64 1 y) (/.f64 (neg.f64 x) (*.f64 y y))) (/.f64 (*.f64 x x) (pow.f64 y 3))) |
(+.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 x (/.f64 (pow.f64 y 3) x))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
(+.f64 (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) (/.f64 1 y)) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) |
(+.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) (-.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 (pow.f64 x 3) (pow.f64 y 4)))) |
(+.f64 (/.f64 1 y) (-.f64 (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1 (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 4)))) |
-1 |
(-.f64 (*.f64 2 (/.f64 x y)) 1) |
(fma.f64 2 (/.f64 x y) -1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) 1) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 2 (/.f64 x y) -1)) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1)) |
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 (*.f64 (/.f64 x y) -2) 2))) |
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1) |
(+.f64 (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) -1) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1)) |
(+.f64 (*.f64 (/.f64 x y) (+.f64 (*.f64 (/.f64 x y) -2) 2)) (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1)) |
(+.f64 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2))) (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1)) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x)) |
(-.f64 (+.f64 1 (/.f64 (neg.f64 y) x)) (/.f64 y x)) |
(-.f64 (-.f64 1 (/.f64 y x)) (/.f64 y x)) |
(fma.f64 -2 (/.f64 y x) 1) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) (/.f64 y x)) |
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 (neg.f64 y) x)) (/.f64 y x))) |
(-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y (*.f64 x x)) (*.f64 y -2))) (/.f64 y x)) (/.f64 y x)) |
(fma.f64 (/.f64 2 x) (/.f64 y (/.f64 x y)) (fma.f64 -2 (/.f64 y x) 1)) |
(fma.f64 2 (/.f64 y (*.f64 x (/.f64 x y))) (fma.f64 -2 (/.f64 y x) 1)) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 y x)) |
(+.f64 (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 3) (-.f64 (neg.f64 y) y))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 (neg.f64 y) x)) (/.f64 y x)))) |
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y (*.f64 x x)) (*.f64 y -2))) (/.f64 y x)) (-.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x))) |
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 (/.f64 2 x) (/.f64 y (/.f64 x y)) (fma.f64 -2 (/.f64 y x) 1))) |
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (/.f64 y (*.f64 x (/.f64 x y))) (fma.f64 -2 (/.f64 y x) 1))) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x)) |
(-.f64 (+.f64 1 (/.f64 (neg.f64 y) x)) (/.f64 y x)) |
(-.f64 (-.f64 1 (/.f64 y x)) (/.f64 y x)) |
(fma.f64 -2 (/.f64 y x) 1) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) (/.f64 y x)) |
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 (neg.f64 y) x)) (/.f64 y x))) |
(-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y (*.f64 x x)) (*.f64 y -2))) (/.f64 y x)) (/.f64 y x)) |
(fma.f64 (/.f64 2 x) (/.f64 y (/.f64 x y)) (fma.f64 -2 (/.f64 y x) 1)) |
(fma.f64 2 (/.f64 y (*.f64 x (/.f64 x y))) (fma.f64 -2 (/.f64 y x) 1)) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 y x)) |
(+.f64 (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 3) (-.f64 (neg.f64 y) y))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 (neg.f64 y) x)) (/.f64 y x)))) |
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y (*.f64 x x)) (*.f64 y -2))) (/.f64 y x)) (-.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x))) |
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 (/.f64 2 x) (/.f64 y (/.f64 x y)) (fma.f64 -2 (/.f64 y x) 1))) |
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (/.f64 y (*.f64 x (/.f64 x y))) (fma.f64 -2 (/.f64 y x) 1))) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 y x))) |
(-.f64 (+.f64 1 (/.f64 (neg.f64 y) x)) (/.f64 y x)) |
(-.f64 (-.f64 1 (/.f64 y x)) (/.f64 y x)) |
(fma.f64 -2 (/.f64 y x) 1) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 (neg.f64 y) x)) (/.f64 y x))) |
(-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y (*.f64 x x)) (*.f64 y -2))) (/.f64 y x)) (/.f64 y x)) |
(fma.f64 (/.f64 2 x) (/.f64 y (/.f64 x y)) (fma.f64 -2 (/.f64 y x) 1)) |
(fma.f64 2 (/.f64 y (*.f64 x (/.f64 x y))) (fma.f64 -2 (/.f64 y x) 1)) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))) |
(+.f64 (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 3) (-.f64 (neg.f64 y) y))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 (neg.f64 y) x)) (/.f64 y x)))) |
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y (*.f64 x x)) (*.f64 y -2))) (/.f64 y x)) (-.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x))) |
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 (/.f64 2 x) (/.f64 y (/.f64 x y)) (fma.f64 -2 (/.f64 y x) 1))) |
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (/.f64 y (*.f64 x (/.f64 x y))) (fma.f64 -2 (/.f64 y x) 1))) |
-1 |
(-.f64 (/.f64 x y) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(fma.f64 2 (/.f64 x y) -1) |
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) x) (pow.f64 y 2)))) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 2 (/.f64 x y) -1)) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1)) |
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 (*.f64 (/.f64 x y) -2) 2))) |
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) x) (pow.f64 y 2))))) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) -1) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1)) |
(+.f64 (*.f64 (/.f64 x y) (+.f64 (*.f64 (/.f64 x y) -2) 2)) (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1)) |
(+.f64 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2))) (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1)) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) 1) |
(fma.f64 2 (/.f64 x y) -1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 2 (/.f64 x y) -1)) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1)) |
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 (*.f64 (/.f64 x y) -2) 2))) |
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) (pow.f64 x 2)) (pow.f64 y 3))) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2)))) 1) |
(+.f64 (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) -1) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1)) |
(+.f64 (*.f64 (/.f64 x y) (+.f64 (*.f64 (/.f64 x y) -2) 2)) (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1)) |
(+.f64 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2))) (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1)) |
Compiled 27867 to 10151 computations (63.6% saved)
13 alts after pruning (4 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1109 | 3 | 1112 |
| Fresh | 2 | 1 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 8 | 9 |
| Total | 1112 | 13 | 1125 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (-.f64 x y) (+.f64 x y)) |
| ✓ | 0.1b | (-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y))) |
| ✓ | 0.1b | (-.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 1 (+.f64 x y)) y)) |
| ▶ | 20.2b | (-.f64 (/.f64 x (+.f64 x y)) (*.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y)) y)) |
| ✓ | 31.0b | (-.f64 (*.f64 2 (/.f64 x y)) 1) |
| ✓ | 32.4b | (+.f64 1 (*.f64 -2 (/.f64 y x))) |
| ✓ | 31.5b | (+.f64 -1 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))) |
| ✓ | 31.9b | (*.f64 (/.f64 (-.f64 x y) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y)) |
| ✓ | 31.8b | (*.f64 (/.f64 (-.f64 x y) (*.f64 (-.f64 x y) (+.f64 x y))) (-.f64 x y)) |
| ▶ | 0.1b | (*.f64 (/.f64 1 (+.f64 x y)) (pow.f64 (/.f64 1 (-.f64 x y)) -1)) |
| ✓ | 0.2b | (*.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y)) |
| 33.1b | 1 | |
| 32.0b | -1 |
Compiled 159 to 95 computations (40.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (-.f64 x y)) |
| 0.0b | (/.f64 1 (+.f64 x y)) | |
| ✓ | 0.1b | (pow.f64 (/.f64 1 (-.f64 x y)) -1) |
| ✓ | 0.2b | (*.f64 (/.f64 1 (+.f64 x y)) (pow.f64 (/.f64 1 (-.f64 x y)) -1)) |
Compiled 42 to 21 computations (50% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (pow.f64 (/.f64 1 (-.f64 x y)) -1) |
| 2.0ms | x | @ | inf | (pow.f64 (/.f64 1 (-.f64 x y)) -1) |
| 2.0ms | x | @ | 0 | (pow.f64 (/.f64 1 (-.f64 x y)) -1) |
| 2.0ms | y | @ | 0 | (pow.f64 (/.f64 1 (-.f64 x y)) -1) |
| 1.0ms | y | @ | inf | (pow.f64 (/.f64 1 (-.f64 x y)) -1) |
| 1× | batch-egg-rewrite |
| 549× | prod-diff_binary64 |
| 500× | log-prod_binary64 |
| 359× | pow-prod-down_binary64 |
| 276× | pow2_binary64 |
| 249× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 33 |
| 1 | 239 | 21 |
| 2 | 3199 | 21 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (+.f64 x y)) (pow.f64 (/.f64 1 (-.f64 x y)) -1)) |
(pow.f64 (/.f64 1 (-.f64 x y)) -1) |
(/.f64 1 (-.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (+.f64 x y) (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 1 (-.f64 x y)) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (+.f64 x y)) (/.f64 1 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x y) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 (+.f64 x y)) (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 1 (-.f64 x y)) (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 x y)) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x y) (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x y) -1) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x y) (/.f64 1 (-.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 (-.f64 x y)) (+.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (+.f64 x y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (+.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x y) (fma.f64 (neg.f64 y) 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x y) (+.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x y) (fma.f64 -1 y y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x y) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x y)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x 1) (/.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 (pow.f64 y 3) (fma.f64 x x (*.f64 y (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (cbrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x 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y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 (neg.f64 y) 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (-.f64 y x) (*.f64 x x)) (+.f64 (neg.f64 y) y)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 x y))) (cbrt.f64 (pow.f64 (-.f64 x y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 x y) -2)) (/.f64 1 (cbrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 x y) -1/2) (pow.f64 (-.f64 x y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.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 1 (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) -2) (/.f64 1 (cbrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x y) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x y) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x y) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x y) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x y) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x y)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (-.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x y) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 x y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 x y))) 1)))))) |
| 1× | egg-herbie |
| 712× | times-frac_binary64 |
| 585× | unsub-neg_binary64 |
| 503× | sub-neg_binary64 |
| 445× | associate-/l*_binary64 |
| 342× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 152 | 1148 |
| 1 | 501 | 1050 |
| 2 | 1898 | 909 |
| 3 | 7314 | 909 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (*.f64 2 (/.f64 x y)) 1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) 1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) (/.f64 y x)) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 y x)) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) (/.f64 y x)) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 y x)) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 y x))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))) |
-1 |
(-.f64 (/.f64 x y) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) x) (pow.f64 y 2)))) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) x) (pow.f64 y 2))))) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2))) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) (pow.f64 x 2)) (pow.f64 y 3))) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2)))) 1) |
(*.f64 -1 y) |
(+.f64 (*.f64 -1 y) x) |
(+.f64 (*.f64 -1 y) x) |
(+.f64 (*.f64 -1 y) x) |
x |
(+.f64 (*.f64 -1 y) x) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) x)) (+.f64 (*.f64 -1 y) x)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) x)) (+.f64 (*.f64 -1 y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)))) (+.f64 (pow.f64 y 3) (*.f64 -1 (pow.f64 y 3)))) (pow.f64 x 2))) x))) |
x |
(+.f64 (*.f64 -1 y) x) |
(+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1 y) x))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 y 3) (+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) y))) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1 y) x)))) |
x |
(+.f64 (*.f64 -1 y) x) |
(+.f64 (*.f64 -1 y) x) |
(+.f64 (*.f64 -1 y) x) |
(*.f64 -1 y) |
(+.f64 (*.f64 -1 y) x) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) y)) (+.f64 (*.f64 -1 y) x)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) y)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) x)) (pow.f64 x 3))) (pow.f64 y 2))) (+.f64 (*.f64 -1 y) x))) |
(*.f64 -1 y) |
(+.f64 (*.f64 -1 y) x) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1 y) (+.f64 x (/.f64 (pow.f64 x 2) y)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) x) (pow.f64 x 3))) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1 y) (+.f64 x (/.f64 (pow.f64 x 2) y))))) |
(/.f64 -1 y) |
(-.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 1 y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) (/.f64 1 y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.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 y (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.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 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.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 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x)))) |
(/.f64 -1 y) |
(-.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 1 y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) (/.f64 1 y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.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 (/.f64 x (pow.f64 y 2))) (/.f64 1 y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) (/.f64 1 y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y)) |
| Outputs |
|---|
-1 |
(-.f64 (*.f64 2 (/.f64 x y)) 1) |
(fma.f64 2 (/.f64 x y) -1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) 1) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 2 (/.f64 x y) -1)) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1)) |
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1) |
(+.f64 (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) -1) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1)) |
(+.f64 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2))) (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1)) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x)) |
(-.f64 (+.f64 1 (/.f64 (neg.f64 y) x)) (/.f64 y x)) |
(-.f64 (-.f64 1 (/.f64 y x)) (/.f64 y x)) |
(fma.f64 -2 (/.f64 y x) 1) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) (/.f64 y x)) |
(+.f64 1 (-.f64 (*.f64 -1 (+.f64 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 y x))) (/.f64 y x))) |
(-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (*.f64 -2 (/.f64 y x)))) (/.f64 y x)) (/.f64 y x)) |
(+.f64 1 (fma.f64 2 (/.f64 y (*.f64 (/.f64 x y) x)) (/.f64 -2 (/.f64 x y)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 y x)) |
(+.f64 (/.f64 (*.f64 (*.f64 y y) (-.f64 (neg.f64 y) y)) (pow.f64 x 3)) (+.f64 1 (-.f64 (*.f64 -1 (+.f64 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 y x))) (/.f64 y x)))) |
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (*.f64 -2 (/.f64 y x)))) (/.f64 y x)) (-.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x))) |
(+.f64 (fma.f64 -2 (/.f64 y x) 1) (*.f64 (/.f64 y (*.f64 (/.f64 x y) x)) (+.f64 2 (/.f64 -2 (/.f64 x y))))) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x)) |
(-.f64 (+.f64 1 (/.f64 (neg.f64 y) x)) (/.f64 y x)) |
(-.f64 (-.f64 1 (/.f64 y x)) (/.f64 y x)) |
(fma.f64 -2 (/.f64 y x) 1) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) (/.f64 y x)) |
(+.f64 1 (-.f64 (*.f64 -1 (+.f64 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 y x))) (/.f64 y x))) |
(-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (*.f64 -2 (/.f64 y x)))) (/.f64 y x)) (/.f64 y x)) |
(+.f64 1 (fma.f64 2 (/.f64 y (*.f64 (/.f64 x y) x)) (/.f64 -2 (/.f64 x y)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 y x)) |
(+.f64 (/.f64 (*.f64 (*.f64 y y) (-.f64 (neg.f64 y) y)) (pow.f64 x 3)) (+.f64 1 (-.f64 (*.f64 -1 (+.f64 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 y x))) (/.f64 y x)))) |
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (*.f64 -2 (/.f64 y x)))) (/.f64 y x)) (-.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x))) |
(+.f64 (fma.f64 -2 (/.f64 y x) 1) (*.f64 (/.f64 y (*.f64 (/.f64 x y) x)) (+.f64 2 (/.f64 -2 (/.f64 x y))))) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 y x))) |
(-.f64 (+.f64 1 (/.f64 (neg.f64 y) x)) (/.f64 y x)) |
(-.f64 (-.f64 1 (/.f64 y x)) (/.f64 y x)) |
(fma.f64 -2 (/.f64 y x) 1) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(+.f64 1 (-.f64 (*.f64 -1 (+.f64 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 y x))) (/.f64 y x))) |
(-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (*.f64 -2 (/.f64 y x)))) (/.f64 y x)) (/.f64 y x)) |
(+.f64 1 (fma.f64 2 (/.f64 y (*.f64 (/.f64 x y) x)) (/.f64 -2 (/.f64 x y)))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 y y) (-.f64 (neg.f64 y) y)) (pow.f64 x 3)) (+.f64 1 (-.f64 (*.f64 -1 (+.f64 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 y x))) (/.f64 y x)))) |
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (*.f64 -2 (/.f64 y x)))) (/.f64 y x)) (-.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x))) |
(+.f64 (fma.f64 -2 (/.f64 y x) 1) (*.f64 (/.f64 y (*.f64 (/.f64 x y) x)) (+.f64 2 (/.f64 -2 (/.f64 x y))))) |
-1 |
(-.f64 (/.f64 x y) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(fma.f64 2 (/.f64 x y) -1) |
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) x) (pow.f64 y 2)))) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 2 (/.f64 x y) -1)) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1)) |
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) x) (pow.f64 y 2))))) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) -1) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1)) |
(+.f64 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2))) (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1)) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) 1) |
(fma.f64 2 (/.f64 x y) -1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 2 (/.f64 x y) -1)) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1)) |
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) (pow.f64 x 2)) (pow.f64 y 3))) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2)))) 1) |
(+.f64 (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) -1) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1)) |
(+.f64 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2))) (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1)) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1 y) x) |
(fma.f64 -1 y x) |
(-.f64 x y) |
(+.f64 (*.f64 -1 y) x) |
(fma.f64 -1 y x) |
(-.f64 x y) |
(+.f64 (*.f64 -1 y) x) |
(fma.f64 -1 y x) |
(-.f64 x y) |
x |
(+.f64 (*.f64 -1 y) x) |
(fma.f64 -1 y x) |
(-.f64 x y) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) x)) (+.f64 (*.f64 -1 y) x)) |
(fma.f64 -1 y x) |
(-.f64 x y) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) x)) (+.f64 (*.f64 -1 y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)))) (+.f64 (pow.f64 y 3) (*.f64 -1 (pow.f64 y 3)))) (pow.f64 x 2))) x))) |
(fma.f64 -1 y x) |
(-.f64 x y) |
x |
(+.f64 (*.f64 -1 y) x) |
(fma.f64 -1 y x) |
(-.f64 x y) |
(+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1 y) x))) |
(fma.f64 -1 y x) |
(-.f64 x y) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 y 3) (+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) y))) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1 y) x)))) |
(fma.f64 -1 y x) |
(-.f64 x y) |
x |
(+.f64 (*.f64 -1 y) x) |
(fma.f64 -1 y x) |
(-.f64 x y) |
(+.f64 (*.f64 -1 y) x) |
(fma.f64 -1 y x) |
(-.f64 x y) |
(+.f64 (*.f64 -1 y) x) |
(fma.f64 -1 y x) |
(-.f64 x y) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1 y) x) |
(fma.f64 -1 y x) |
(-.f64 x y) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) y)) (+.f64 (*.f64 -1 y) x)) |
(fma.f64 -1 y x) |
(-.f64 x y) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) y)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) x)) (pow.f64 x 3))) (pow.f64 y 2))) (+.f64 (*.f64 -1 y) x))) |
(fma.f64 -1 y x) |
(-.f64 x y) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1 y) x) |
(fma.f64 -1 y x) |
(-.f64 x y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1 y) (+.f64 x (/.f64 (pow.f64 x 2) y)))) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (+.f64 (fma.f64 -1 y x) (/.f64 (*.f64 x x) y))) |
(-.f64 (+.f64 (-.f64 x y) (/.f64 x (/.f64 y x))) (/.f64 x (/.f64 y x))) |
(+.f64 (-.f64 x y) (*.f64 0 (*.f64 (/.f64 x y) x))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) x) (pow.f64 x 3))) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1 y) (+.f64 x (/.f64 (pow.f64 x 2) y))))) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (+.f64 (fma.f64 -1 y x) (/.f64 (*.f64 x x) y))) |
(-.f64 (+.f64 (-.f64 x y) (/.f64 x (/.f64 y x))) (/.f64 x (/.f64 y x))) |
(+.f64 (-.f64 x y) (*.f64 0 (*.f64 (/.f64 x y) x))) |
(/.f64 -1 y) |
(-.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 1 y)) |
(-.f64 (/.f64 (neg.f64 x) (*.f64 y y)) (/.f64 1 y)) |
(fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 -1 y)) |
(-.f64 (/.f64 -1 y) (/.f64 x (*.f64 y y))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) (/.f64 1 y)) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (pow.f64 y 3)) (/.f64 (neg.f64 x) (*.f64 y y))) (/.f64 1 y)) |
(fma.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (/.f64 (pow.f64 y 3) x))) (/.f64 -1 y)) |
(+.f64 (*.f64 (/.f64 x (*.f64 y y)) (-.f64 -1 (/.f64 x y))) (/.f64 -1 y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y)) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (pow.f64 y 3)) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y)) |
(+.f64 (-.f64 (-.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (/.f64 x (/.f64 (pow.f64 y 3) x))) (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (/.f64 -1 y)) |
(+.f64 (-.f64 (*.f64 (/.f64 x (*.f64 y y)) (-.f64 -1 (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (/.f64 -1 y)) |
(+.f64 (*.f64 (/.f64 x (*.f64 y y)) (-.f64 -1 (/.f64 x y))) (-.f64 (/.f64 -1 y) (/.f64 (pow.f64 x 3) (pow.f64 y 4)))) |
(/.f64 1 x) |
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) |
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 (*.f64 y y) (pow.f64 x 3)))) |
(+.f64 (/.f64 1 x) (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x)))) |
(+.f64 (+.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 (pow.f64 y 3) (pow.f64 x 4))) |
(+.f64 (/.f64 y (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y (*.f64 x x))))) |
(/.f64 1 x) |
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) |
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 (*.f64 y y) (pow.f64 x 3)))) |
(+.f64 (/.f64 1 x) (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x)))) |
(+.f64 (+.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 (pow.f64 y 3) (pow.f64 x 4))) |
(+.f64 (/.f64 y (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y (*.f64 x x))))) |
(/.f64 1 x) |
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) |
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 (*.f64 y y) (pow.f64 x 3)))) |
(+.f64 (/.f64 1 x) (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x)))) |
(+.f64 (+.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 (pow.f64 y 3) (pow.f64 x 4))) |
(+.f64 (/.f64 y (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y (*.f64 x x))))) |
(/.f64 -1 y) |
(-.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 1 y)) |
(-.f64 (/.f64 (neg.f64 x) (*.f64 y y)) (/.f64 1 y)) |
(fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 -1 y)) |
(-.f64 (/.f64 -1 y) (/.f64 x (*.f64 y y))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) (/.f64 1 y)) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (pow.f64 y 3)) (/.f64 (neg.f64 x) (*.f64 y y))) (/.f64 1 y)) |
(fma.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (/.f64 (pow.f64 y 3) x))) (/.f64 -1 y)) |
(+.f64 (*.f64 (/.f64 x (*.f64 y y)) (-.f64 -1 (/.f64 x y))) (/.f64 -1 y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y)) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (pow.f64 y 3)) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y)) |
(+.f64 (-.f64 (-.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (/.f64 x (/.f64 (pow.f64 y 3) x))) (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (/.f64 -1 y)) |
(+.f64 (-.f64 (*.f64 (/.f64 x (*.f64 y y)) (-.f64 -1 (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (/.f64 -1 y)) |
(+.f64 (*.f64 (/.f64 x (*.f64 y y)) (-.f64 -1 (/.f64 x y))) (-.f64 (/.f64 -1 y) (/.f64 (pow.f64 x 3) (pow.f64 y 4)))) |
(/.f64 -1 y) |
(-.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 1 y)) |
(-.f64 (/.f64 (neg.f64 x) (*.f64 y y)) (/.f64 1 y)) |
(fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 -1 y)) |
(-.f64 (/.f64 -1 y) (/.f64 x (*.f64 y y))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) (/.f64 1 y)) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (pow.f64 y 3)) (/.f64 (neg.f64 x) (*.f64 y y))) (/.f64 1 y)) |
(fma.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (/.f64 (pow.f64 y 3) x))) (/.f64 -1 y)) |
(+.f64 (*.f64 (/.f64 x (*.f64 y y)) (-.f64 -1 (/.f64 x y))) (/.f64 -1 y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y)) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (pow.f64 y 3)) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y)) |
(+.f64 (-.f64 (-.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (/.f64 x (/.f64 (pow.f64 y 3) x))) (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (/.f64 -1 y)) |
(+.f64 (-.f64 (*.f64 (/.f64 x (*.f64 y y)) (-.f64 -1 (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (/.f64 -1 y)) |
(+.f64 (*.f64 (/.f64 x (*.f64 y y)) (-.f64 -1 (/.f64 x y))) (-.f64 (/.f64 -1 y) (/.f64 (pow.f64 x 3) (pow.f64 y 4)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y)) y) |
| ✓ | 0.3b | (/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y))) |
| 3.3b | (-.f64 (*.f64 x x) (*.f64 y y)) | |
| ✓ | 30.7b | (*.f64 (/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y)) |
Compiled 87 to 23 computations (73.6% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y))) |
| 1.0ms | x | @ | inf | (/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y))) |
| 1.0ms | x | @ | 0 | (/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y))) |
| 0.0ms | y | @ | inf | (/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y))) |
| 0.0ms | x | @ | -inf | (*.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y)) y) |
| 1× | batch-egg-rewrite |
| 877× | prod-diff_binary64 |
| 620× | log-prod_binary64 |
| 552× | fma-def_binary64 |
| 219× | fma-neg_binary64 |
| 209× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 48 |
| 1 | 248 | 30 |
| 2 | 3600 | 30 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y)) |
(/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y))) |
(*.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y)) y) |
| Outputs |
|---|
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(/.f64 1 (+.f64 x y)) (-.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 (-.f64 x y) -1) (*.f64 (+.f64 x y) (neg.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1 (+.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.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 x) (*.f64 y y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y)) 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 1 (+.f64 x y)) (-.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y)) (*.f64 (neg.f64 y) (/.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y)) x (*.f64 (/.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y)) (neg.f64 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y)))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) -2)) (cbrt.f64 (/.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) -1/2) (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 (+.f64 x y) (neg.f64 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) -1) (pow.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x y) -1) (pow.f64 (-.f64 x y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 x 6) (pow.f64 y 6))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 x 4) (pow.f64 y 4))) (fma.f64 x x (*.f64 y y)))))) (#(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 (/.f64 1 (+.f64 x y)) (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 (*.f64 x x) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x x) (*.f64 y y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (*.f64 x x) (*.f64 y y)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 1 (+.f64 x y)))) (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 1 (+.f64 x y)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 1 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 1 (+.f64 x y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 1 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 1 (+.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 x y)) (-.f64 (*.f64 x x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 y (-.f64 x y))) (*.f64 (+.f64 x y) (neg.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 1 (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 1 (+.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 1 (+.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 1 (+.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 1 (+.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 1 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 1 (+.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 1 (+.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x y)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 1 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 1 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 1 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 1 (+.f64 x y)))) 1)))))) |
| 1× | egg-herbie |
| 472× | times-frac_binary64 |
| 378× | unswap-sqr_binary64 |
| 307× | associate-+l-_binary64 |
| 305× | neg-sub0_binary64 |
| 301× | div-sub_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 1623 |
| 1 | 227 | 1524 |
| 2 | 747 | 1428 |
| 3 | 3585 | 1398 |
| 4 | 7231 | 1398 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.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 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.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 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.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 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.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 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
(/.f64 -1 (pow.f64 y 2)) |
(-.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 4))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 4))) (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 6)))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 y 8))) (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 6))))) (/.f64 1 (pow.f64 y 2))) |
(/.f64 1 (pow.f64 x 2)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (pow.f64 y 2) (pow.f64 x 4))) |
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 6)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (pow.f64 y 2) (pow.f64 x 4)))) |
(+.f64 (/.f64 (pow.f64 y 6) (pow.f64 x 8)) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 6)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (pow.f64 y 2) (pow.f64 x 4))))) |
(/.f64 1 (pow.f64 x 2)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (pow.f64 y 2) (pow.f64 x 4))) |
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 6)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (pow.f64 y 2) (pow.f64 x 4)))) |
(+.f64 (/.f64 (pow.f64 y 6) (pow.f64 x 8)) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 6)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (pow.f64 y 2) (pow.f64 x 4))))) |
(/.f64 1 (pow.f64 x 2)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (pow.f64 y 2) (pow.f64 x 4))) |
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 6)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (pow.f64 y 2) (pow.f64 x 4)))) |
(+.f64 (/.f64 (pow.f64 y 6) (pow.f64 x 8)) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 6)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (pow.f64 y 2) (pow.f64 x 4))))) |
(/.f64 -1 (pow.f64 y 2)) |
(-.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 4))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 4))) (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 6)))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 y 8))) (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 6))))) (/.f64 1 (pow.f64 y 2))) |
(/.f64 -1 (pow.f64 y 2)) |
(-.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 4))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 4))) (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 6)))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 y 8))) (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 6))))) (/.f64 1 (pow.f64 y 2))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.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 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.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 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.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 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) |
| Outputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x (*.f64 y y)))) |
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))) |
(+.f64 (+.f64 (/.f64 1 y) (neg.f64 (/.f64 x (*.f64 y y)))) (/.f64 (*.f64 x x) (pow.f64 y 3))) |
(+.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 x (/.f64 (pow.f64 y 3) x))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x y) -1))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
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(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 y 8))) (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 6))))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (pow.f64 y 4)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 8)) (/.f64 (pow.f64 x 4) (pow.f64 y 6))))) (/.f64 1 (*.f64 y y))) |
(+.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 6))) (/.f64 (pow.f64 x 6) (pow.f64 y 8))) (/.f64 x (/.f64 (pow.f64 y 4) x))) (/.f64 -1 (*.f64 y y))) |
(fma.f64 -1 (+.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 8)) (+.f64 (*.f64 (/.f64 x (pow.f64 y 4)) x) (/.f64 (pow.f64 x 4) (pow.f64 y 6)))) (/.f64 -1 (*.f64 y y))) |
(-.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) 4) 1) (/.f64 -1 (*.f64 y y))) (*.f64 (/.f64 x (pow.f64 y 4)) (+.f64 x (/.f64 (pow.f64 x 5) (pow.f64 y 4))))) |
(/.f64 -1 (pow.f64 y 2)) |
(/.f64 -1 (*.f64 y y)) |
(-.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 4))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (neg.f64 (/.f64 (*.f64 x x) (pow.f64 y 4))) (/.f64 1 (*.f64 y y))) |
(fma.f64 -1 (/.f64 x (/.f64 (pow.f64 y 4) x)) (/.f64 -1 (*.f64 y y))) |
(-.f64 (/.f64 -1 (*.f64 y y)) (*.f64 (/.f64 x (pow.f64 y 4)) x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 4))) (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 6)))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (*.f64 -1 (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 4)) (/.f64 (pow.f64 x 4) (pow.f64 y 6)))) (/.f64 1 (*.f64 y y))) |
(fma.f64 -1 (+.f64 (/.f64 x (/.f64 (pow.f64 y 4) x)) (/.f64 (pow.f64 x 4) (pow.f64 y 6))) (/.f64 -1 (*.f64 y y))) |
(-.f64 (/.f64 -1 (*.f64 y y)) (+.f64 (*.f64 (/.f64 x (pow.f64 y 4)) x) (/.f64 (pow.f64 x 4) (pow.f64 y 6)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 y 8))) (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 6))))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (pow.f64 y 4)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 8)) (/.f64 (pow.f64 x 4) (pow.f64 y 6))))) (/.f64 1 (*.f64 y y))) |
(+.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 6))) (/.f64 (pow.f64 x 6) (pow.f64 y 8))) (/.f64 x (/.f64 (pow.f64 y 4) x))) (/.f64 -1 (*.f64 y y))) |
(fma.f64 -1 (+.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 8)) (+.f64 (*.f64 (/.f64 x (pow.f64 y 4)) x) (/.f64 (pow.f64 x 4) (pow.f64 y 6)))) (/.f64 -1 (*.f64 y y))) |
(-.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) 4) 1) (/.f64 -1 (*.f64 y y))) (*.f64 (/.f64 x (pow.f64 y 4)) (+.f64 x (/.f64 (pow.f64 x 5) (pow.f64 y 4))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (+.f64 1 (neg.f64 (/.f64 x y))) (/.f64 (*.f64 x x) (*.f64 y y))) |
(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 x y) (/.f64 x y))) |
(+.f64 1 (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) -1))) |
(+.f64 1 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 1 (fma.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (neg.f64 (/.f64 x y))))) |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 (-.f64 1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 x y))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) -1)) (pow.f64 (/.f64 x y) 3))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y))) (pow.f64 (/.f64 x y) 3))) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 (/.f64 y x) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))) |
(-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) |
(-.f64 (/.f64 y x) (*.f64 (/.f64 (/.f64 y x) x) y)) |
(*.f64 (+.f64 (/.f64 (neg.f64 y) x) 1) (/.f64 y x)) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 y x) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) |
(+.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) |
(-.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 (/.f64 y x) x) y) (pow.f64 (/.f64 y x) 3))) |
(+.f64 (*.f64 (+.f64 (/.f64 (neg.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 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))) |
(+.f64 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)) (*.f64 -1 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))) |
(+.f64 (/.f64 y x) (-.f64 (pow.f64 (/.f64 y x) 3) (fma.f64 (/.f64 y x) (/.f64 y x) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) |
(*.f64 (+.f64 1 (/.f64 (/.f64 y (/.f64 x y)) x)) (*.f64 (+.f64 (/.f64 (neg.f64 y) x) 1) (/.f64 y x))) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 (/.f64 y x) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))) |
(-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) |
(-.f64 (/.f64 y x) (*.f64 (/.f64 (/.f64 y x) x) y)) |
(*.f64 (+.f64 (/.f64 (neg.f64 y) x) 1) (/.f64 y x)) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 y x) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) |
(+.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) |
(-.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 (/.f64 y x) x) y) (pow.f64 (/.f64 y x) 3))) |
(+.f64 (*.f64 (+.f64 (/.f64 (neg.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 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))) |
(+.f64 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)) (*.f64 -1 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))) |
(+.f64 (/.f64 y x) (-.f64 (pow.f64 (/.f64 y x) 3) (fma.f64 (/.f64 y x) (/.f64 y x) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) |
(*.f64 (+.f64 1 (/.f64 (/.f64 y (/.f64 x y)) x)) (*.f64 (+.f64 (/.f64 (neg.f64 y) x) 1) (/.f64 y x))) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 (/.f64 y x) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))) |
(-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) |
(-.f64 (/.f64 y x) (*.f64 (/.f64 (/.f64 y x) x) y)) |
(*.f64 (+.f64 (/.f64 (neg.f64 y) x) 1) (/.f64 y x)) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 y x) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) |
(+.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) |
(-.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 (/.f64 y x) x) y) (pow.f64 (/.f64 y x) 3))) |
(+.f64 (*.f64 (+.f64 (/.f64 (neg.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 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))) |
(+.f64 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)) (*.f64 -1 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))) |
(+.f64 (/.f64 y x) (-.f64 (pow.f64 (/.f64 y x) 3) (fma.f64 (/.f64 y x) (/.f64 y x) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) |
(*.f64 (+.f64 1 (/.f64 (/.f64 y (/.f64 x y)) x)) (*.f64 (+.f64 (/.f64 (neg.f64 y) x) 1) (/.f64 y x))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (+.f64 1 (neg.f64 (/.f64 x y))) (/.f64 (*.f64 x x) (*.f64 y y))) |
(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 x y) (/.f64 x y))) |
(+.f64 1 (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) -1))) |
(+.f64 1 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 1 (fma.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (neg.f64 (/.f64 x y))))) |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 (-.f64 1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 x y))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) -1)) (pow.f64 (/.f64 x y) 3))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y))) (pow.f64 (/.f64 x y) 3))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (+.f64 1 (neg.f64 (/.f64 x y))) (/.f64 (*.f64 x x) (*.f64 y y))) |
(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 x y) (/.f64 x y))) |
(+.f64 1 (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) -1))) |
(+.f64 1 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 1 (fma.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (neg.f64 (/.f64 x y))))) |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 (-.f64 1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 x y))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) -1)) (pow.f64 (/.f64 x y) 3))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y))) (pow.f64 (/.f64 x y) 3))) |
Compiled 13754 to 5388 computations (60.8% saved)
12 alts after pruning (3 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 584 | 1 | 585 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 8 | 10 |
| Total | 586 | 12 | 598 |
| Status | Error | Program |
|---|---|---|
| 0.1b | (/.f64 (/.f64 1 (+.f64 x y)) (/.f64 1 (-.f64 x y))) | |
| ✓ | 0.1b | (/.f64 (-.f64 x y) (+.f64 x y)) |
| ✓ | 0.1b | (-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y))) |
| ✓ | 0.1b | (-.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 1 (+.f64 x y)) y)) |
| ✓ | 20.2b | (-.f64 (/.f64 x (+.f64 x y)) (*.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y)) y)) |
| ✓ | 31.0b | (-.f64 (*.f64 2 (/.f64 x y)) 1) |
| ✓ | 32.4b | (+.f64 1 (*.f64 -2 (/.f64 y x))) |
| ✓ | 31.9b | (*.f64 (/.f64 (-.f64 x y) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y)) |
| ✓ | 31.8b | (*.f64 (/.f64 (-.f64 x y) (*.f64 (-.f64 x y) (+.f64 x y))) (-.f64 x y)) |
| ✓ | 0.2b | (*.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y)) |
| 33.1b | 1 | |
| 32.0b | -1 |
Compiled 142 to 83 computations (41.5% saved)
| Inputs |
|---|
-1 |
-1 |
1 |
1 |
1 |
(+.f64 1 (*.f64 -2 (/.f64 y x))) |
(-.f64 (*.f64 2 (/.f64 x y)) 1) |
(-.f64 (*.f64 2 (/.f64 x y)) 1) |
(/.f64 (-.f64 x y) (+.f64 x y)) |
(*.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y)) |
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y))) |
(/.f64 (/.f64 1 (+.f64 x y)) (/.f64 1 (-.f64 x y))) |
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))) |
(-.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 1 (+.f64 x y)) y)) |
(*.f64 (/.f64 (-.f64 x y) (*.f64 (-.f64 x y) (+.f64 x y))) (-.f64 x y)) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y)) |
(-.f64 (/.f64 x (+.f64 x y)) (*.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y)) y)) |
(*.f64 (/.f64 1 (+.f64 x y)) (pow.f64 (/.f64 1 (-.f64 x y)) -1)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))) |
(/.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y))) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (+.f64 x y) 3))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 (-.f64 x y) (cbrt.f64 (+.f64 x y)))) |
| Outputs |
|---|
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y))) |
4 calls:
| 21.0ms | x |
| 15.0ms | y |
| 12.0ms | (/.f64 (-.f64 x y) (+.f64 x y)) |
| 4.0ms | (/.f64 (-.f64 x y) (+.f64 x y)) |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | y |
| 0.1b | 1 | (/.f64 (-.f64 x y) (+.f64 x y)) |
| 0.1b | 1 | (/.f64 (-.f64 x y) (+.f64 x y)) |
Compiled 255 to 102 computations (60% saved)
| Inputs |
|---|
-1 |
-1 |
1 |
1 |
1 |
(+.f64 1 (*.f64 -2 (/.f64 y x))) |
(-.f64 (*.f64 2 (/.f64 x y)) 1) |
(-.f64 (*.f64 2 (/.f64 x y)) 1) |
(/.f64 (-.f64 x y) (+.f64 x y)) |
(*.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y)) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (+.f64 x y)) |
3 calls:
| 16.0ms | y |
| 13.0ms | x |
| 5.0ms | (/.f64 (-.f64 x y) (+.f64 x y)) |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | y |
| 0.1b | 1 | (/.f64 (-.f64 x y) (+.f64 x y)) |
Compiled 59 to 36 computations (39% saved)
| Inputs |
|---|
-1 |
-1 |
1 |
1 |
1 |
(+.f64 1 (*.f64 -2 (/.f64 y x))) |
(-.f64 (*.f64 2 (/.f64 x y)) 1) |
(-.f64 (*.f64 2 (/.f64 x y)) 1) |
| Outputs |
|---|
(-.f64 (*.f64 2 (/.f64 x y)) 1) |
(+.f64 1 (*.f64 -2 (/.f64 y x))) |
(-.f64 (*.f64 2 (/.f64 x y)) 1) |
2 calls:
| 148.0ms | y |
| 103.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 14.9b | 5 | x |
| 12.3b | 3 | y |
Compiled 34 to 25 computations (26.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 1.3674932960345012e-75 | 7.60988073475676e-75 |
| 51.0ms | -4.818434336716405e-11 | -1.1952011963045975e-14 |
Compiled 14 to 9 computations (35.7% saved)
| Inputs |
|---|
-1 |
-1 |
1 |
1 |
1 |
(+.f64 1 (*.f64 -2 (/.f64 y x))) |
| Outputs |
|---|
-1 |
(+.f64 1 (*.f64 -2 (/.f64 y x))) |
-1 |
2 calls:
| 46.0ms | x |
| 31.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 15.1b | 5 | x |
| 13.0b | 3 | y |
Compiled 20 to 16 computations (20% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 30.0ms | 1.3674932960345012e-75 | 7.60988073475676e-75 |
| 64.0ms | -3.519920601780002e-17 | -5.062894837280834e-19 |
Compiled 14 to 9 computations (35.7% saved)
| Inputs |
|---|
-1 |
-1 |
1 |
1 |
1 |
| Outputs |
|---|
-1 |
1 |
-1 |
2 calls:
| 56.0ms | y |
| 44.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 15.4b | 5 | x |
| 13.3b | 3 | y |
Compiled 13 to 11 computations (15.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 57.0ms | 1.3674932960345012e-75 | 7.60988073475676e-75 |
| 26.0ms | -4.818434336716405e-11 | -1.1952011963045975e-14 |
Compiled 14 to 9 computations (35.7% saved)
Total 0.0b remaining (0%)
Threshold costs 0.0b (0%)
| Inputs |
|---|
-1 |
-1 |
| Outputs |
|---|
-1 |
2 calls:
| 8.0ms | y |
| 7.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 32.0b | 1 | x |
| 32.0b | 1 | y |
Compiled 10 to 8 computations (20% saved)
| 1× | egg-herbie |
| 7× | +-commutative_binary64 |
| 5× | sub-neg_binary64 |
| 4× | *-commutative_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 108 |
| 1 | 44 | 108 |
| 2 | 52 | 108 |
| 3 | 56 | 108 |
| 4 | 58 | 108 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y))) |
(/.f64 (-.f64 x y) (+.f64 x y)) |
(if (<=.f64 y -7456165990110915/154742504910672534362390528) (-.f64 (*.f64 2 (/.f64 x y)) 1) (if (<=.f64 y 5571266082837009/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (+.f64 1 (*.f64 -2 (/.f64 y x))) (-.f64 (*.f64 2 (/.f64 x y)) 1))) |
(if (<=.f64 y -2855698856705363/81129638414606681695789005144064) -1 (if (<=.f64 y 5571266082837009/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (+.f64 1 (*.f64 -2 (/.f64 y x))) -1)) |
(if (<=.f64 y -7456165990110915/154742504910672534362390528) -1 (if (<=.f64 y 5571266082837009/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) 1 -1)) |
-1 |
| Outputs |
|---|
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y))) |
(/.f64 (-.f64 x y) (+.f64 x y)) |
(if (<=.f64 y -7456165990110915/154742504910672534362390528) (-.f64 (*.f64 2 (/.f64 x y)) 1) (if (<=.f64 y 5571266082837009/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (+.f64 1 (*.f64 -2 (/.f64 y x))) (-.f64 (*.f64 2 (/.f64 x y)) 1))) |
(if (<=.f64 y -7456165990110915/154742504910672534362390528) (+.f64 (*.f64 2 (/.f64 x y)) -1) (if (<=.f64 y 5571266082837009/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (+.f64 1 (*.f64 -2 (/.f64 y x))) (+.f64 (*.f64 2 (/.f64 x y)) -1))) |
(if (<=.f64 y -2855698856705363/81129638414606681695789005144064) -1 (if (<=.f64 y 5571266082837009/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (+.f64 1 (*.f64 -2 (/.f64 y x))) -1)) |
(if (<=.f64 y -7456165990110915/154742504910672534362390528) -1 (if (<=.f64 y 5571266082837009/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) 1 -1)) |
-1 |
Compiled 88 to 62 computations (29.5% saved)
Compiled 78 to 50 computations (35.9% saved)
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