Time bar (total: 7.9s)
| 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 |
| 6.3% | 6.2% | 93.6% | 0.1% | 0% | 0% | 0% | 6 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 7 |
| 20.3% | 20.3% | 79.6% | 0.1% | 0% | 0% | 0% | 8 |
| 35.5% | 35.5% | 64.4% | 0.1% | 0% | 0% | 0% | 9 |
| 40% | 40% | 59.9% | 0.1% | 0% | 0% | 0% | 10 |
| 50.6% | 50.5% | 49.3% | 0.1% | 0% | 0% | 0% | 11 |
| 63.5% | 63.4% | 36.4% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 16 to 11 computations (31.3% saved)
| 986.0ms | 8256× | body | 256 | valid |
| 2× | egg-herbie |
| 1158× | fma-neg_binary64 |
| 478× | fma-def_binary64 |
| 469× | div-sub_binary64 |
| 373× | sub-neg_binary64 |
| 364× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 72 |
| 1 | 60 | 72 |
| 2 | 98 | 72 |
| 3 | 143 | 72 |
| 4 | 221 | 72 |
| 5 | 354 | 72 |
| 6 | 549 | 72 |
| 7 | 804 | 72 |
| 8 | 1200 | 72 |
| 9 | 1684 | 64 |
| 10 | 2576 | 64 |
| 11 | 4350 | 64 |
| 12 | 6273 | 64 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
(+.f64 y (/.f64 x (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) |
(+.f64 z (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 x)) (*.f64 z y)))) |
(+.f64 x (/.f64 z (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 y)) (*.f64 x z)))) |
| Outputs |
|---|
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))) |
(-.f64 x (/.f64 y (fma.f64 (exp.f64 z) -5641895835477563/5000000000000000 (*.f64 x y)))) |
(+.f64 y (/.f64 x (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) |
(+.f64 y (/.f64 x (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
(+.f64 y (/.f64 x (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))) |
(-.f64 y (/.f64 x (fma.f64 (exp.f64 z) -5641895835477563/5000000000000000 (*.f64 x y)))) |
(+.f64 z (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 x)) (*.f64 z y)))) |
(+.f64 z (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 x)) (*.f64 y z)))) |
(-.f64 z (/.f64 y (fma.f64 y z (*.f64 (exp.f64 x) -5641895835477563/5000000000000000)))) |
(+.f64 x (/.f64 z (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 y)) (*.f64 x z)))) |
(+.f64 x (/.f64 z (fma.f64 x (neg.f64 z) (*.f64 5641895835477563/5000000000000000 (exp.f64 y))))) |
(-.f64 x (/.f64 z (fma.f64 x z (*.f64 (exp.f64 y) -5641895835477563/5000000000000000)))) |
(-.f64 x (/.f64 z (fma.f64 (exp.f64 y) -5641895835477563/5000000000000000 (*.f64 x z)))) |
Compiled 18 to 13 computations (27.8% saved)
| 1× | egg-herbie |
| 1229× | fma-def_binary64 |
| 1055× | div-sub_binary64 |
| 902× | fma-neg_binary64 |
| 409× | associate-/l*_binary64 |
| 380× | associate-/r*_binary64 |
Useful iterations: 9 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 18 |
| 1 | 20 | 18 |
| 2 | 35 | 18 |
| 3 | 52 | 18 |
| 4 | 81 | 18 |
| 5 | 127 | 18 |
| 6 | 205 | 18 |
| 7 | 292 | 18 |
| 8 | 396 | 18 |
| 9 | 540 | 16 |
| 10 | 737 | 16 |
| 11 | 1205 | 16 |
| 12 | 2291 | 16 |
| 13 | 4555 | 16 |
| 14 | 5844 | 16 |
| 15 | 6688 | 16 |
| 16 | 6856 | 16 |
| 17 | 6884 | 16 |
| 18 | 7254 | 16 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
| Outputs |
|---|
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
(-.f64 x (/.f64 y (fma.f64 (exp.f64 z) -5641895835477563/5000000000000000 (*.f64 x y)))) |
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) |
Compiled 26 to 16 computations (38.5% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 2.7b | (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
| ▶ | 0.0b | (+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) |
Compiled 29 to 20 computations (31% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) |
| ✓ | 0.0b | (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) |
| ✓ | 0.2b | (/.f64 -5641895835477563/5000000000000000 y) |
Compiled 40 to 22 computations (45% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | inf | (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) |
| 2.0ms | z | @ | 0 | (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) |
| 1.0ms | y | @ | inf | (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) |
| 1.0ms | y | @ | 0 | (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) |
| 1.0ms | z | @ | -inf | (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) |
| 1× | batch-egg-rewrite |
| 951× | pow1_binary64 |
| 876× | add-log-exp_binary64 |
| 876× | log1p-expm1-u_binary64 |
| 876× | expm1-log1p-u_binary64 |
| 857× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 27 |
| 1 | 203 | 27 |
| 2 | 2383 | 27 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -5641895835477563/5000000000000000 y) |
(/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) |
(fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -5641895835477563/5000000000000000 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -5641895835477563/5000000000000000 (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -5641895835477563/5000000000000000 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -5641895835477563/5000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) (pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 2) (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 5641895835477563/5000000000000000 (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) -5641895835477563/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y -5000000000000000/5641895835477563) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -5641895835477563/5000000000000000 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) (cbrt.f64 (pow.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 2)) (/.f64 -1 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) (sqrt.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) (pow.f64 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 2) (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) (sqrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z))) (*.f64 x x)) (-.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))))) |
| 1× | egg-herbie |
| 920× | fma-neg_binary64 |
| 871× | times-frac_binary64 |
| 468× | associate-/r*_binary64 |
| 442× | associate-/l*_binary64 |
| 371× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 117 | 1582 |
| 1 | 342 | 1550 |
| 2 | 1168 | 1521 |
| 3 | 7260 | 1518 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (pow.f64 z 2)))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (*.f64 y (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))) (+.f64 (*.f64 5641895835477563/30000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (*.f64 31830988618379068626528276418969/50000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))))) (pow.f64 z 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (pow.f64 z 2))))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))) |
(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x)) |
(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))) |
(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x)) |
(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x)) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 (+.f64 (*.f64 -5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 (+.f64 (*.f64 -5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 -5641895835477563/30000000000000000 (/.f64 (pow.f64 z 3) y)) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
x |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
x |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
x |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
x |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
| Outputs |
|---|
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
(/.f64 -1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))) |
(/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2))) (/.f64 1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)) (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (pow.f64 z 2)))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2)) (neg.f64 (*.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 3))) (/.f64 5641895835477563/10000000000000000 (*.f64 y (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2)))) (*.f64 z z)))) (/.f64 1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)) (fma.f64 (neg.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3)))) (/.f64 5641895835477563/10000000000000000 (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2))))) (*.f64 z z) (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) |
(fma.f64 (*.f64 z z) (+.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3)))) (/.f64 -5641895835477563/10000000000000000 (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)) (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) |
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(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 x (*.f64 y y)) (pow.f64 (exp.f64 z) 2)) (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (/.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 x (*.f64 y y))) (pow.f64 (exp.f64 z) 2))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (*.f64 (/.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 (exp.f64 z) 2)) (*.f64 y (*.f64 x y)))) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 x (*.f64 y y)) (pow.f64 (exp.f64 z) 2)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 x x))) (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 x (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y y))) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (exp.f64 z) 3)) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 x (pow.f64 (exp.f64 z) 2)) (*.f64 y y)) (/.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x x)) (pow.f64 (/.f64 (exp.f64 z) y) 3)))) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 x (*.f64 y y)) (pow.f64 (exp.f64 z) 2)) (fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 (exp.f64 z) 4) (pow.f64 x 3))) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 x x))) (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 x (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y y))) (fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4)) (pow.f64 x 3)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (exp.f64 z) 3)) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 x (pow.f64 (exp.f64 z) 2)) (*.f64 y y)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 x 3) (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4))) (/.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x x)) (pow.f64 (/.f64 (exp.f64 z) y) 3))))) |
(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (/.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y (*.f64 x x))) (/.f64 1 x)) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (/.f64 -1 x)) |
(fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (/.f64 (exp.f64 z) (*.f64 x x)) (/.f64 -1 x)) |
(fma.f64 (/.f64 (exp.f64 z) y) (/.f64 -5641895835477563/5000000000000000 (*.f64 x x)) (/.f64 -1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (/.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2)) (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 1 x)) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 -1 x))) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x)) |
(-.f64 (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (/.f64 (pow.f64 (exp.f64 z) 3) (pow.f64 y 3)) (pow.f64 x 4)) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (/.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2)) (*.f64 (*.f64 y y) (pow.f64 x 3))))) (/.f64 1 x)) |
(fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 -1 x)))) |
(fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (/.f64 (exp.f64 z) y) 3) (pow.f64 x 4)) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 -1 x)))) |
(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (/.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y (*.f64 x x))) (/.f64 1 x)) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (/.f64 -1 x)) |
(fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (/.f64 (exp.f64 z) (*.f64 x x)) (/.f64 -1 x)) |
(fma.f64 (/.f64 (exp.f64 z) y) (/.f64 -5641895835477563/5000000000000000 (*.f64 x x)) (/.f64 -1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (/.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2)) (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 1 x)) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 -1 x))) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x)) |
(-.f64 (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (/.f64 (pow.f64 (exp.f64 z) 3) (pow.f64 y 3)) (pow.f64 x 4)) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (/.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2)) (*.f64 (*.f64 y y) (pow.f64 x 3))))) (/.f64 1 x)) |
(fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 -1 x)))) |
(fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (/.f64 (exp.f64 z) y) 3) (pow.f64 x 4)) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 -1 x)))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 (fma.f64 -5641895835477563/10000000000000000 (/.f64 (*.f64 z z) y) (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x)) (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 (fma.f64 -5641895835477563/10000000000000000 (/.f64 z (/.f64 y z)) (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x)) (/.f64 -5641895835477563/5000000000000000 y)) |
(+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (fma.f64 -5641895835477563/10000000000000000 (*.f64 (/.f64 z y) z) (/.f64 -5641895835477563/5000000000000000 y))) |
(-.f64 (+.f64 (*.f64 -5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 -5641895835477563/30000000000000000 (/.f64 (pow.f64 z 3) y)) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 (fma.f64 -5641895835477563/10000000000000000 (/.f64 (*.f64 z z) y) (fma.f64 -5641895835477563/30000000000000000 (/.f64 (pow.f64 z 3) y) (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x))) (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 (fma.f64 -5641895835477563/10000000000000000 (/.f64 z (/.f64 y z)) (fma.f64 -5641895835477563/30000000000000000 (/.f64 (pow.f64 z 3) y) (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x))) (/.f64 -5641895835477563/5000000000000000 y)) |
(+.f64 (fma.f64 -5641895835477563/10000000000000000 (*.f64 (/.f64 z y) z) (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x)) (fma.f64 -5641895835477563/30000000000000000 (/.f64 (pow.f64 z 3) y) (/.f64 -5641895835477563/5000000000000000 y))) |
(+.f64 (fma.f64 -5641895835477563/10000000000000000 (*.f64 (/.f64 z y) z) (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x)) (fma.f64 (/.f64 -5641895835477563/30000000000000000 y) (pow.f64 z 3) (/.f64 -5641895835477563/5000000000000000 y))) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
x |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
x |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
x |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
x |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
| ✓ | 0.6b | (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)) |
| ✓ | 8.7b | (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))) |
Compiled 46 to 20 computations (56.5% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | inf | (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))) |
| 2.0ms | x | @ | 0 | (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))) |
| 1.0ms | z | @ | 0 | (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))) |
| 1.0ms | z | @ | -inf | (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))) |
| 1.0ms | y | @ | 0 | (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))) |
| 1× | batch-egg-rewrite |
| 572× | log-prod_binary64 |
| 389× | fma-def_binary64 |
| 346× | pow-prod-down_binary64 |
| 292× | pow2_binary64 |
| 202× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 33 |
| 1 | 222 | 33 |
| 2 | 3025 | 33 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)) |
(*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 (*.f64 z 2)) 31830988618379068626528276418969/25000000000000000000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (exp.f64 z) 3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (exp.f64 (*.f64 z 2)) 31830988618379068626528276418969/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (exp.f64 z) 3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 z (log1p.f64 641895835477563/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 z (log1p.f64 641895835477563/5000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (+.f64 z (log1p.f64 641895835477563/5000000000000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (+.f64 z (log1p.f64 641895835477563/5000000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) (*.f64 3 z)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (+.f64 z (log1p.f64 641895835477563/5000000000000000)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (+.f64 z (log1p.f64 641895835477563/5000000000000000)) 3) 1/3)))))) |
| 1× | egg-herbie |
| 871× | times-frac_binary64 |
| 576× | fma-neg_binary64 |
| 447× | associate-/l*_binary64 |
| 424× | fma-def_binary64 |
| 416× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 1668 |
| 1 | 327 | 1633 |
| 2 | 1165 | 1589 |
| 3 | 7153 | 1583 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))) |
(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x)) |
(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x)) |
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 5641895835477563/30000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))) (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (*.f64 -31830988618379068626528276418969/50000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))))) (pow.f64 z 3))) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) |
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) |
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) |
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) |
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) |
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) |
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) |
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) |
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))) |
(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x)) |
(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x)) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)) |
(-.f64 (+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (*.f64 y x)) |
(-.f64 (+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 5641895835477563/30000000000000000 (pow.f64 z 3))))) (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
5641895835477563/5000000000000000 |
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) |
(+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) |
(+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 5641895835477563/30000000000000000 (pow.f64 z 3))))) |
| Outputs |
|---|
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563)) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (exp.f64 z) 2) x)) (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (/.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x))) (pow.f64 (exp.f64 z) 2))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (*.f64 (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) 2)) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 x))) |
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(fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 x (neg.f64 y))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)) |
(fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 x (neg.f64 y))) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)) |
(fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 x (neg.f64 y))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)) |
(fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 x (neg.f64 y))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)) |
(fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 x (neg.f64 y))) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)) |
(fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 x (neg.f64 y))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)) |
(fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 x (neg.f64 y))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)) |
(fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 x (neg.f64 y))) |
(*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
(*.f64 (exp.f64 z) 5641895835477563/5000000000000000) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)) |
(fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 x (neg.f64 y))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)) |
(fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 x (neg.f64 y))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)) |
(fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 x (neg.f64 y))) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)) |
(fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 x (neg.f64 y))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)) |
(fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 x (neg.f64 y))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)) |
(fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 x (neg.f64 y))) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)) |
(fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 x (neg.f64 y))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)) |
(fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 x (neg.f64 y))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)) |
(fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 x (neg.f64 y))) |
5641895835477563/5000000000000000 |
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000)) |
(fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000) |
(+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) |
(fma.f64 5641895835477563/10000000000000000 (*.f64 z z) (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000))) |
(fma.f64 (*.f64 z z) 5641895835477563/10000000000000000 (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)) |
(fma.f64 z 5641895835477563/5000000000000000 (fma.f64 (*.f64 z z) 5641895835477563/10000000000000000 5641895835477563/5000000000000000)) |
(+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 5641895835477563/30000000000000000 (pow.f64 z 3))))) |
(fma.f64 5641895835477563/10000000000000000 (*.f64 z z) (+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (*.f64 5641895835477563/30000000000000000 (pow.f64 z 3))))) |
(+.f64 (fma.f64 5641895835477563/30000000000000000 (pow.f64 z 3) (*.f64 z 5641895835477563/5000000000000000)) (fma.f64 (*.f64 z z) 5641895835477563/10000000000000000 5641895835477563/5000000000000000)) |
(fma.f64 z (*.f64 z 5641895835477563/10000000000000000) (fma.f64 z 5641895835477563/5000000000000000 (fma.f64 5641895835477563/30000000000000000 (pow.f64 z 3) 5641895835477563/5000000000000000))) |
Compiled 8361 to 4135 computations (50.5% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 371 | 7 | 378 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 373 | 7 | 380 |
| Status | Error | Program |
|---|---|---|
| 10.6b | (+.f64 x (/.f64 -1 (-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) | |
| 24.0b | (+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y)) | |
| ▶ | 11.8b | (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
| ▶ | 10.6b | (+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))) |
| ▶ | 19.1b | (+.f64 x (/.f64 -1 x)) |
| ▶ | 21.1b | (+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
| ▶ | 11.8b | (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
Compiled 180 to 128 computations (28.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)) |
| ✓ | 0.0b | (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) |
| ✓ | 0.2b | (*.f64 5641895835477563/5000000000000000 z) |
| ✓ | 8.1b | (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))) |
Compiled 51 to 29 computations (43.1% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | 0 | (*.f64 5641895835477563/5000000000000000 z) |
| 1.0ms | y | @ | 0 | (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))) |
| 1.0ms | z | @ | inf | (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))) |
| 1.0ms | y | @ | inf | (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))) |
| 1.0ms | x | @ | inf | (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))) |
| 1× | batch-egg-rewrite |
| 599× | log-prod_binary64 |
| 407× | fma-def_binary64 |
| 379× | pow-prod-down_binary64 |
| 314× | pow2_binary64 |
| 216× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 40 |
| 1 | 230 | 34 |
| 2 | 3386 | 34 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))) |
(*.f64 5641895835477563/5000000000000000 z) |
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) |
(-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (/.f64 1 (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x)))) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x)))) 2) (cbrt.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x)))) (sqrt.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (neg.f64 (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x))) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) 1) (/.f64 (cbrt.f64 y) (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x))) -2) (/.f64 y (cbrt.f64 (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 5641895835477563/5000000000000000 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(sqrt.f64 (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 3) (pow.f64 (*.f64 y x) 3))) (fma.f64 (*.f64 y x) (fma.f64 y x (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 2) (pow.f64 (*.f64 y x) 2))) (fma.f64 y x (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 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(sqrt.f64 z) (+.f64 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)))))) |
| 1× | egg-herbie |
| 761× | associate-/r*_binary64 |
| 595× | fma-def_binary64 |
| 590× | associate-*r*_binary64 |
| 545× | associate-*l*_binary64 |
| 382× | associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 140 | 1856 |
| 1 | 465 | 1692 |
| 2 | 1902 | 1622 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2))) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)) (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 3)))) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 4)) (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 3))))) |
(/.f64 -1 x) |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2)))) y)) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2)))) y)) (*.f64 -1 (/.f64 (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2))))) (*.f64 (pow.f64 y 2) x)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2)))) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2))))) (*.f64 (pow.f64 y 3) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2))))) (*.f64 (pow.f64 y 2) x))))) (/.f64 1 x)) |
(/.f64 -1 x) |
(-.f64 (*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x)) |
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) |
(+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 4))) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y z)) |
(+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) |
(+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (pow.f64 z 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))) |
(+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (pow.f64 z 3))) (+.f64 (*.f64 -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) (pow.f64 z 4))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y z)) |
(+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) |
(+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (pow.f64 z 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))) |
(+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (pow.f64 z 3))) (+.f64 (*.f64 -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) (pow.f64 z 4))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))))) |
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2))) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)) (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 3)))) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 4)) (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 3))))) |
(/.f64 -1 x) |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (*.f64 y (pow.f64 x 3)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (*.f64 y (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)) (*.f64 (pow.f64 y 2) (pow.f64 x 4)))))) (/.f64 1 x)) |
(/.f64 -1 x) |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (*.f64 y (pow.f64 x 3)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (*.f64 y (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)) (*.f64 (pow.f64 y 2) (pow.f64 x 4)))))) (/.f64 1 x)) |
5641895835477563/5000000000000000 |
(*.f64 5641895835477563/5000000000000000 z) |
(*.f64 5641895835477563/5000000000000000 z) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(*.f64 5641895835477563/5000000000000000 z) |
(*.f64 5641895835477563/5000000000000000 z) |
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
| Outputs |
|---|
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) |
(/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2))) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (/.f64 (*.f64 y y) (/.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2) x))) |
(+.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) (/.f64 (*.f64 y y) (/.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 2) x))) |
(fma.f64 (/.f64 (*.f64 y y) (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 2)) x (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)) (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 3)))) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (+.f64 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2) x)) (/.f64 (*.f64 (pow.f64 y 3) (*.f64 x x)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 3)))) |
(+.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) (+.f64 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 2) x)) (/.f64 (*.f64 x x) (/.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 3) (pow.f64 y 3))))) |
(+.f64 (fma.f64 (/.f64 (*.f64 y y) (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 2)) x (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))) (/.f64 (*.f64 x x) (pow.f64 (/.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) y) 3))) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 4)) (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 3))))) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (+.f64 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2) x)) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) (*.f64 x x)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 3)) (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 4) (pow.f64 x 3)))))) |
(+.f64 (+.f64 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 2) x)) (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 4) (pow.f64 x 3)))) (+.f64 (/.f64 (*.f64 x x) (/.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 3) (pow.f64 y 3))) (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)))) |
(+.f64 (fma.f64 (/.f64 (*.f64 y y) (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 2)) x (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))) (fma.f64 (/.f64 (pow.f64 y 4) (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 4)) (pow.f64 x 3) (/.f64 (*.f64 x x) (pow.f64 (/.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) y) 3)))) |
(/.f64 -1 x) |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2)))) y)) (/.f64 1 x)) |
(-.f64 (neg.f64 (/.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 x x)) (/.f64 5641895835477563/5000000000000000 (*.f64 x x))) y)) (/.f64 1 x)) |
(fma.f64 -1 (/.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 x x)) (/.f64 5641895835477563/5000000000000000 (*.f64 x x))) y) (/.f64 -1 x)) |
(-.f64 (/.f64 -1 x) (/.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 x x)) (/.f64 (/.f64 5641895835477563/5000000000000000 x) x)) y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2)))) y)) (*.f64 -1 (/.f64 (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2))))) (*.f64 (pow.f64 y 2) x)))) (/.f64 1 x)) |
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 x x)) (/.f64 5641895835477563/5000000000000000 (*.f64 x x))) y) (neg.f64 (*.f64 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y y)) (/.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 x x)) (/.f64 5641895835477563/5000000000000000 (*.f64 x x))) x)))) (/.f64 1 x)) |
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(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (neg.f64 (*.f64 y x)))) |
(-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (neg.f64 (*.f64 y x)))) |
(-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (neg.f64 (*.f64 y x)))) |
(-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 y (neg.f64 x)) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (neg.f64 (*.f64 y x)))) |
(-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (neg.f64 (*.f64 y x)))) |
(-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (neg.f64 (*.f64 y x)))) |
(-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 y (neg.f64 x)) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (neg.f64 (*.f64 y x)))) |
(-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (neg.f64 (*.f64 y x)))) |
(-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (neg.f64 (*.f64 y x)))) |
(-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) |
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (neg.f64 (*.f64 y x)))) |
(-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (neg.f64 (*.f64 y x)))) |
(-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (neg.f64 (*.f64 y x)))) |
(-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 y (neg.f64 x)) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (neg.f64 (*.f64 y x)))) |
(-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (neg.f64 (*.f64 y x)))) |
(-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (neg.f64 (*.f64 y x)))) |
(-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 y (neg.f64 x)) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (neg.f64 (*.f64 y x)))) |
(-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (neg.f64 (*.f64 y x)))) |
(-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (neg.f64 (*.f64 y x)))) |
(-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x)) |
Compiled 13 to 9 computations (30.8% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 16.1b | (/.f64 y (*.f64 y (neg.f64 x))) |
Compiled 25 to 7 computations (72% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/.f64 y (*.f64 y (neg.f64 x))) |
| 0.0ms | x | @ | inf | (/.f64 y (*.f64 y (neg.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 y (*.f64 y (neg.f64 x))) |
| 0.0ms | y | @ | -inf | (/.f64 y (*.f64 y (neg.f64 x))) |
| 0.0ms | x | @ | -inf | (/.f64 y (*.f64 y (neg.f64 x))) |
| 1× | batch-egg-rewrite |
| 604× | pow1_binary64 |
| 560× | add-log-exp_binary64 |
| 559× | log1p-expm1-u_binary64 |
| 559× | expm1-log1p-u_binary64 |
| 547× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 131 | 4 |
| 2 | 1931 | 4 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (*.f64 y (neg.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (/.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (/.f64 1 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (/.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (/.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 (/.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) y) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) y) (/.f64 (sqrt.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) y) (/.f64 (cbrt.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (/.f64 y (cbrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 y x))) (/.f64 y (sqrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (*.f64 y x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 0 (log.f64 x))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 96 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
| Outputs |
|---|
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
| ✓ | 0.1b | (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
| 0.2b | (/.f64 -5641895835477563/5000000000000000 y) |
Compiled 31 to 21 computations (32.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | 0 | (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
| 1.0ms | y | @ | -inf | (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
| 1.0ms | x | @ | 0 | (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
| 1.0ms | x | @ | inf | (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
| 1.0ms | y | @ | inf | (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
| 1× | batch-egg-rewrite |
| 939× | pow1_binary64 |
| 877× | add-log-exp_binary64 |
| 877× | log1p-expm1-u_binary64 |
| 877× | expm1-log1p-u_binary64 |
| 860× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 178 | 17 |
| 2 | 2373 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) 2) (/.f64 -1 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) (sqrt.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (pow.f64 x 3) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)))) (fma.f64 x x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 (*.f64 x x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)))) (-.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 -5641895835477563/5000000000000000 y))) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (-.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 2) (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) (sqrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y))) (/.f64 1 (-.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))) (+.f64 (pow.f64 x 3) (/.f64 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-5641895835477563/5000000000000000) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y))) (-.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)))) (neg.f64 (-.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -5641895835477563/5000000000000000 (/.f64 1 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 -5641895835477563/5000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -5641895835477563/5000000000000000 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y))) (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -5641895835477563/5000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -5641895835477563/5000000000000000 y)))))) |
| 1× | egg-herbie |
| 700× | distribute-lft-out_binary64 |
| 677× | distribute-neg-frac_binary64 |
| 414× | unswap-sqr_binary64 |
| 306× | *-commutative_binary64 |
| 219× | distribute-rgt-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 720 |
| 1 | 156 | 696 |
| 2 | 475 | 692 |
| 3 | 1987 | 690 |
| 4 | 5372 | 690 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y)) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))) |
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y)) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))) |
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(/.f64 -5641895835477563/5000000000000000 y) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
x |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
x |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(/.f64 -5641895835477563/5000000000000000 y) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
x |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
x |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
| Outputs |
|---|
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y)) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (*.f64 5000000000000000/5641895835477563 y)) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (*.f64 5000000000000000/5641895835477563 y)) |
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)))) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (*.f64 x (pow.f64 y 3))) (*.f64 5000000000000000/5641895835477563 y))) |
(fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (pow.f64 y 3))) (*.f64 y (*.f64 y 25000000000000000000000000000000/31830988618379068626528276418969))))) |
(fma.f64 5000000000000000/5641895835477563 y (*.f64 (*.f64 y y) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 x) (*.f64 (*.f64 x x) (*.f64 y 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547))))) |
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(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y)))) |
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(+.f64 (*.f64 (+.f64 (/.f64 (/.f64 5641895835477563/5000000000000000 y) x) 1) (/.f64 -1 x)) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))) |
(-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))) |
(+.f64 (+.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -1 x)) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) |
(-.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 x 3)) (*.f64 y y)))) |
(+.f64 (*.f64 (+.f64 (/.f64 (/.f64 5641895835477563/5000000000000000 y) x) 1) (/.f64 -1 x)) (+.f64 (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))) |
(/.f64 -5641895835477563/5000000000000000 y) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
x |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
x |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(/.f64 -5641895835477563/5000000000000000 y) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
x |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
x |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
| ✓ | 8.1b | (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
Compiled 30 to 14 computations (53.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
| 1.0ms | y | @ | 0 | (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
| 1.0ms | x | @ | 0 | (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
| 1.0ms | x | @ | inf | (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
| 1.0ms | x | @ | -inf | (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
| 1× | batch-egg-rewrite |
| 892× | pow1_binary64 |
| 834× | add-log-exp_binary64 |
| 834× | log1p-expm1-u_binary64 |
| 834× | expm1-log1p-u_binary64 |
| 819× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 159 | 17 |
| 2 | 2181 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 2) (cbrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (sqrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (neg.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2)) (/.f64 y (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2)) (cbrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (/.f64 y (sqrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3))) (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y x) (+.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (*.f64 y x) 2))) (+.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 5641895835477563/5000000000000000 (*.f64 (*.f64 y (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (neg.f64 x)) 5641895835477563/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (sqrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y x) (+.f64 5641895835477563/5000000000000000 (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (*.f64 y x) 2)) (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y x) (+.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (-.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 y x)) (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (*.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3)) (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y x) (+.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (*.f64 y x) 2)) (+.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3))) (neg.f64 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y x) (+.f64 5641895835477563/5000000000000000 (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (*.f64 y x) 2))) (neg.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (neg.f64 x)) 3)) (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) |
| 1× | egg-herbie |
| 700× | distribute-lft-out_binary64 |
| 675× | distribute-neg-frac_binary64 |
| 414× | unswap-sqr_binary64 |
| 307× | *-commutative_binary64 |
| 233× | distribute-rgt-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 770 |
| 1 | 154 | 710 |
| 2 | 485 | 706 |
| 3 | 2017 | 704 |
| 4 | 5452 | 704 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y)) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))) |
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y)) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))) |
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
5641895835477563/5000000000000000 |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
5641895835477563/5000000000000000 |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
| Outputs |
|---|
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y)) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (*.f64 5000000000000000/5641895835477563 y)) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (*.f64 5000000000000000/5641895835477563 y)) |
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 x (*.f64 y 25000000000000000000000000000000/31830988618379068626528276418969)))) |
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)))) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y))) |
(fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (*.f64 x (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)))))) |
(fma.f64 5000000000000000/5641895835477563 y (*.f64 (*.f64 y y) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 x) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 y (*.f64 x x)))))) |
(fma.f64 5000000000000000/5641895835477563 y (*.f64 (*.f64 y y) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 x) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (*.f64 y x)))))) |
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))) |
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y)))) |
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (*.f64 x (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3))))))) |
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 (*.f64 y y) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 x) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 y (*.f64 x x))))))) |
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 (*.f64 y y) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 x) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (*.f64 y x))))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x))) |
(+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -1 x)) |
(+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 -1 x)) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))))) |
(-.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -1 x)) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3))))) |
(-.f64 (/.f64 -1 x) (-.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))))) |
(+.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -1 x)) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 x 3)) (*.f64 y y))) |
(-.f64 (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 x 3)) (*.f64 y y)) (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))) |
(-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))) |
(+.f64 (-.f64 (/.f64 -1 x) (-.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -1 x)) (+.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 x 3)) (*.f64 y y)))) |
(+.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 -1 x)) (+.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 x 3)) (*.f64 y y)))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x))) |
(+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -1 x)) |
(+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 -1 x)) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))))) |
(-.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -1 x)) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3))))) |
(-.f64 (/.f64 -1 x) (-.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))))) |
(+.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -1 x)) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 x 3)) (*.f64 y y))) |
(-.f64 (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 x 3)) (*.f64 y y)) (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))) |
(-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))) |
(+.f64 (-.f64 (/.f64 -1 x) (-.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -1 x)) (+.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 x 3)) (*.f64 y y)))) |
(+.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 -1 x)) (+.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 x 3)) (*.f64 y y)))) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y)) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (*.f64 5000000000000000/5641895835477563 y)) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (*.f64 5000000000000000/5641895835477563 y)) |
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 x (*.f64 y 25000000000000000000000000000000/31830988618379068626528276418969)))) |
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)))) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y))) |
(fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (*.f64 x (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)))))) |
(fma.f64 5000000000000000/5641895835477563 y (*.f64 (*.f64 y y) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 x) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 y (*.f64 x x)))))) |
(fma.f64 5000000000000000/5641895835477563 y (*.f64 (*.f64 y y) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 x) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (*.f64 y x)))))) |
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))) |
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y)))) |
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (*.f64 x (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3))))))) |
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 (*.f64 y y) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 x) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 y (*.f64 x x))))))) |
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 (*.f64 y y) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 x) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (*.f64 y x))))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x))) |
(+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -1 x)) |
(+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 -1 x)) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))))) |
(-.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -1 x)) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3))))) |
(-.f64 (/.f64 -1 x) (-.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))))) |
(+.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -1 x)) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 x 3)) (*.f64 y y))) |
(-.f64 (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 x 3)) (*.f64 y y)) (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))) |
(-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))) |
(+.f64 (-.f64 (/.f64 -1 x) (-.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -1 x)) (+.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 x 3)) (*.f64 y y)))) |
(+.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 -1 x)) (+.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 x 3)) (*.f64 y y)))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x))) |
(+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -1 x)) |
(+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 -1 x)) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))))) |
(-.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -1 x)) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3))))) |
(-.f64 (/.f64 -1 x) (-.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))))) |
(+.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -1 x)) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 x 3)) (*.f64 y y))) |
(-.f64 (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 x 3)) (*.f64 y y)) (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))) |
(-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))) |
(+.f64 (-.f64 (/.f64 -1 x) (-.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -1 x)) (+.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 x 3)) (*.f64 y y)))) |
(+.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 -1 x)) (+.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 x 3)) (*.f64 y y)))) |
5641895835477563/5000000000000000 |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.f64 x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.f64 x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
5641895835477563/5000000000000000 |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.f64 x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.f64 x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
Compiled 9501 to 5669 computations (40.3% saved)
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 493 | 8 | 501 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 3 | 1 | 4 |
| Total | 497 | 11 | 508 |
| Status | Error | Program |
|---|---|---|
| ▶ | 25.9b | (+.f64 x (*.f64 5000000000000000/5641895835477563 y)) |
| ▶ | 31.5b | (+.f64 x (*.f64 (/.f64 1 x) 1)) |
| 32.6b | (+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 z) y)) | |
| 24.0b | (+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y)) | |
| ▶ | 32.6b | (+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) |
| 11.5b | (+.f64 x (-.f64 (+.f64 1 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 1)) | |
| ✓ | 19.1b | (+.f64 x (/.f64 -1 x)) |
| 25.9b | (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) | |
| ✓ | 11.8b | (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
| ▶ | 9.7b | (+.f64 x (/.f64 y (-.f64 (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))) (*.f64 y x)))) |
| ▶ | 21.6b | (+.f64 x (/.f64 y (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x)))))) |
Compiled 264 to 182 computations (31.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z)) |
| ✓ | 0.2b | (*.f64 -5641895835477563/5000000000000000 z) |
| ✓ | 8.1b | (/.f64 y (-.f64 (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))) (*.f64 y x))) |
| ✓ | 15.3b | (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))) |
Compiled 105 to 69 computations (34.3% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | x | @ | -inf | (/.f64 y (-.f64 (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))) (*.f64 y x))) |
| 2.0ms | y | @ | 0 | (/.f64 y (-.f64 (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))) (*.f64 y x))) |
| 1.0ms | y | @ | inf | (/.f64 y (-.f64 (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))) (*.f64 y x))) |
| 1.0ms | x | @ | inf | (/.f64 y (-.f64 (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))) (*.f64 y x))) |
| 1.0ms | y | @ | -inf | (/.f64 y (-.f64 (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))) (*.f64 y x))) |
| 1× | batch-egg-rewrite |
| 535× | fma-def_binary64 |
| 368× | fma-neg_binary64 |
| 323× | expm1-udef_binary64 |
| 323× | log1p-udef_binary64 |
| 259× | log-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 58 |
| 1 | 371 | 34 |
| 2 | 5428 | 34 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))) |
(/.f64 y (-.f64 (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))) (*.f64 y x))) |
(*.f64 -5641895835477563/5000000000000000 z) |
(*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 869× | associate-/r*_binary64 |
| 610× | associate-*r*_binary64 |
| 610× | fma-def_binary64 |
| 568× | associate-*l*_binary64 |
| 331× | associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 147 | 2895 |
| 1 | 474 | 2620 |
| 2 | 1868 | 2298 |
| 1× | node limit |
| Inputs |
|---|
5641895835477563/5000000000000000 |
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) |
(*.f64 5641895835477563/5000000000000000 z) |
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) |
(*.f64 5641895835477563/5000000000000000 z) |
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) |
(/.f64 y (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) 2)) (/.f64 y (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) 3)) (/.f64 y (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) 3)) (+.f64 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) 4)) (/.f64 y (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))))))) |
(/.f64 -1 x) |
(-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 y (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)) (pow.f64 x 2))))) (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)) (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)) (pow.f64 x 2)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)) (pow.f64 x 2))))) (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))))) (*.f64 (pow.f64 y 2) x)) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 y (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)) (pow.f64 x 2)))))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 y (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)) (pow.f64 x 2))))) (/.f64 1 x))) |
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(/.f64 -1 x) |
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(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2)) |
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2)) |
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2)) |
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2)) |
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2)) |
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2)) |
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2)) |
| Outputs |
|---|
5641895835477563/5000000000000000 |
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) |
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) |
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) |
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) |
(*.f64 5641895835477563/5000000000000000 z) |
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) |
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) |
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) |
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) |
(*.f64 5641895835477563/5000000000000000 z) |
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) |
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) |
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) |
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) |
(/.f64 y (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))))) |
(/.f64 y (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 z z) (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000)))))) |
(/.f64 y (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) (*.f64 (/.f64 z (/.f64 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000) z)) -31830988618379068626528276418969/25000000000000000000000000000000))) |
(/.f64 y (fma.f64 (/.f64 (*.f64 z z) (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) 2)) (/.f64 y (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))))) |
(+.f64 (/.f64 y (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 z z) (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000)))))) (/.f64 (*.f64 y y) (/.f64 (pow.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 z z) (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000))))) 2) x))) |
(+.f64 (/.f64 y (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) (*.f64 (/.f64 z (/.f64 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000) z)) -31830988618379068626528276418969/25000000000000000000000000000000))) (*.f64 (/.f64 (*.f64 y y) (pow.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) (*.f64 (/.f64 z (/.f64 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000) z)) -31830988618379068626528276418969/25000000000000000000000000000000)) 2)) x)) |
(fma.f64 (/.f64 (*.f64 y y) (pow.f64 (fma.f64 (/.f64 (*.f64 z z) (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000))) 2)) x (/.f64 y (fma.f64 (/.f64 (*.f64 z z) (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) 3)) (/.f64 y (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))))))) |
(+.f64 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 z z) (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000))))) 2) x)) (+.f64 (/.f64 y (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 z z) (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000)))))) (/.f64 (*.f64 (pow.f64 y 3) (*.f64 x x)) (pow.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 z z) (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000))))) 3)))) |
(+.f64 (+.f64 (/.f64 y (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) (*.f64 (/.f64 z (/.f64 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000) z)) -31830988618379068626528276418969/25000000000000000000000000000000))) (*.f64 (/.f64 (*.f64 y y) (pow.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) (*.f64 (/.f64 z (/.f64 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000) z)) -31830988618379068626528276418969/25000000000000000000000000000000)) 2)) x)) (/.f64 (pow.f64 y 3) (/.f64 (*.f64 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (-.f64 (/.f64 1 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) (/.f64 z (/.f64 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000) z))) 3)) (*.f64 x x)))) |
(+.f64 (fma.f64 (/.f64 (*.f64 y y) (pow.f64 (fma.f64 (/.f64 (*.f64 z z) (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000))) 2)) x (/.f64 y (fma.f64 (/.f64 (*.f64 z z) (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000))))) (/.f64 (*.f64 x x) (pow.f64 (/.f64 (fma.f64 (/.f64 (*.f64 z z) (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000))) y) 3))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) 3)) (+.f64 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) 4)) (/.f64 y (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))))))) |
(+.f64 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 z z) (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000))))) 2) x)) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) (*.f64 x x)) (pow.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 z z) (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000))))) 3)) (+.f64 (/.f64 y (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 z z) (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000)))))) (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 z z) (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000))))) 4))))) |
(+.f64 (/.f64 (pow.f64 y 3) (/.f64 (*.f64 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (-.f64 (/.f64 1 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) (/.f64 z (/.f64 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000) z))) 3)) (*.f64 x x))) (+.f64 (+.f64 (/.f64 y (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) (*.f64 (/.f64 z (/.f64 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000) z)) -31830988618379068626528276418969/25000000000000000000000000000000))) (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) (*.f64 (/.f64 z (/.f64 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000) z)) -31830988618379068626528276418969/25000000000000000000000000000000)) 4))) (*.f64 (/.f64 (*.f64 y y) (pow.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) (*.f64 (/.f64 z (/.f64 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000) z)) -31830988618379068626528276418969/25000000000000000000000000000000)) 2)) x))) |
(+.f64 (fma.f64 (/.f64 (pow.f64 y 4) (pow.f64 (fma.f64 (/.f64 (*.f64 z z) (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000))) 4)) (pow.f64 x 3) (/.f64 (*.f64 x x) (pow.f64 (/.f64 (fma.f64 (/.f64 (*.f64 z z) (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000))) y) 3))) (fma.f64 (/.f64 (*.f64 y y) (pow.f64 (fma.f64 (/.f64 (*.f64 z z) (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000))) 2)) x (/.f64 y (fma.f64 (/.f64 (*.f64 z z) (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)))))) |
(/.f64 -1 x) |
(-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 y (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)) (pow.f64 x 2))))) (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)) (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 z z) (*.f64 y (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000)) (*.f64 x x))))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000)) (*.f64 x x)))))) |
(-.f64 (*.f64 (/.f64 (/.f64 z (/.f64 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000) z)) y) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000) (*.f64 y (*.f64 x x)))))) |
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(+.f64 (/.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 z z) (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000)) (*.f64 x x)))) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000)) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 y y) x) (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 z z) (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000))))))) (-.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 z z) (*.f64 y (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000)) (*.f64 x x))))) (/.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 z z) (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000)) (*.f64 x x)))) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000)) (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 y 3) (*.f64 x x)) (pow.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 z z) (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000))))) 2)))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000)) (*.f64 x x))))))) |
(-.f64 (fma.f64 (/.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (/.f64 z (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) (/.f64 z (*.f64 x x))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000) (*.f64 x x)))) (*.f64 y y)) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 x (-.f64 (/.f64 1 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) (/.f64 z (/.f64 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000) z))))) (fma.f64 (/.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (/.f64 z (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) (/.f64 z (*.f64 x x))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000) (*.f64 x x)))) (pow.f64 y 3)) (/.f64 (pow.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) (*.f64 (/.f64 z (/.f64 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000) z)) -31830988618379068626528276418969/25000000000000000000000000000000)) 2) (*.f64 x x)) (*.f64 (/.f64 (/.f64 z (/.f64 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000) z)) y) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 x x))))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000) (*.f64 y (*.f64 x x)))))) |
(+.f64 (*.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (/.f64 (*.f64 z z) (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) y) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 y) (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000))) (+.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 z z) (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000))) 2) (*.f64 y (*.f64 (pow.f64 x 4) y))) (/.f64 (fma.f64 (/.f64 (*.f64 z z) (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000))) (*.f64 y (pow.f64 x 3))))) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (fma.f64 (/.f64 z y) (/.f64 z (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) (/.f64 -1 (*.f64 y (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)))) (*.f64 x x)) (/.f64 -1 x))) |
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2)) |
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)) |
(*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)) |
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2)) |
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)) |
(*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)) |
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2)) |
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)) |
(*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)) |
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2)) |
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)) |
(*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)) |
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2)) |
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)) |
(*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)) |
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2)) |
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)) |
(*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)) |
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2)) |
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)) |
(*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)) |
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2)) |
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)) |
(*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)) |
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2)) |
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)) |
(*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)) |
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2)) |
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)) |
(*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)) |
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2)) |
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)) |
(*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)) |
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2)) |
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)) |
(*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (*.f64 5000000000000000/5641895835477563 y)) |
| ✓ | 0.4b | (*.f64 5000000000000000/5641895835477563 y) |
Compiled 14 to 9 computations (35.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | (+.f64 x (*.f64 5000000000000000/5641895835477563 y)) |
| 0.0ms | y | @ | inf | (*.f64 5000000000000000/5641895835477563 y) |
| 0.0ms | y | @ | 0 | (*.f64 5000000000000000/5641895835477563 y) |
| 0.0ms | y | @ | -inf | (*.f64 5000000000000000/5641895835477563 y) |
| 0.0ms | y | @ | -inf | (+.f64 x (*.f64 5000000000000000/5641895835477563 y)) |
| 1× | batch-egg-rewrite |
| 692× | pow1_binary64 |
| 648× | add-log-exp_binary64 |
| 648× | log1p-expm1-u_binary64 |
| 648× | expm1-log1p-u_binary64 |
| 635× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 11 |
| 1 | 130 | 9 |
| 2 | 1737 | 9 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 x (*.f64 5000000000000000/5641895835477563 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 5000000000000000/5641895835477563 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 5000000000000000/5641895835477563 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 5000000000000000/5641895835477563 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 5000000000000000/5641895835477563 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 5000000000000000/5641895835477563 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 5000000000000000/5641895835477563 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 5000000000000000/5641895835477563 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 5000000000000000/5641895835477563 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 5000000000000000/5641895835477563 y))) (/.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2) (-.f64 x (*.f64 5000000000000000/5641895835477563 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 5000000000000000/5641895835477563 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 5000000000000000/5641895835477563 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) (pow.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) 2) (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) (sqrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 5000000000000000/5641895835477563 y) (-.f64 (*.f64 5000000000000000/5641895835477563 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2)) (/.f64 1 (-.f64 x (*.f64 5000000000000000/5641895835477563 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 5000000000000000/5641895835477563 y) (-.f64 (*.f64 5000000000000000/5641895835477563 y) x))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 5000000000000000/5641895835477563 y)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547)) (fma.f64 x x (*.f64 (*.f64 5000000000000000/5641895835477563 y) (-.f64 (*.f64 5000000000000000/5641895835477563 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547)) (+.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 5000000000000000/5641895835477563 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2)) (-.f64 x (*.f64 5000000000000000/5641895835477563 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 5000000000000000/5641895835477563 y) (-.f64 (*.f64 5000000000000000/5641895835477563 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2))) (neg.f64 (-.f64 x (*.f64 5000000000000000/5641895835477563 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2) (*.f64 x x)) (-.f64 (*.f64 5000000000000000/5641895835477563 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 5000000000000000/5641895835477563 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 5000000000000000/5641895835477563 y x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 5000000000000000/5641895835477563 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 5000000000000000/5641895835477563 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 5000000000000000/5641895835477563 y x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 5000000000000000/5641895835477563 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 5000000000000000/5641895835477563 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 5000000000000000/5641895835477563 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 5000000000000000/5641895835477563 y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 5000000000000000/5641895835477563 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 5000000000000000/5641895835477563 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 5000000000000000/5641895835477563 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 5000000000000000/5641895835477563 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 5000000000000000/5641895835477563 y)) 2) (cbrt.f64 (*.f64 5000000000000000/5641895835477563 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 5000000000000000/5641895835477563 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 5000000000000000/5641895835477563 y)) (sqrt.f64 (*.f64 5000000000000000/5641895835477563 y)) x))))) |
| 1× | egg-herbie |
| 2× | fma-def_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 105 |
| 1 | 9 | 105 |
| 2 | 10 | 105 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
| Outputs |
|---|
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) |
| ✓ | 0.3b | (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) |
Compiled 22 to 10 computations (54.5% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | y | @ | -inf | (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) |
| 1.0ms | y | @ | 0 | (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) |
| 1.0ms | y | @ | inf | (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) |
| 1.0ms | z | @ | inf | (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) |
| 1.0ms | z | @ | 0 | (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) |
| 1× | batch-egg-rewrite |
| 809× | prod-diff_binary64 |
| 445× | log-prod_binary64 |
| 263× | pow-prod-down_binary64 |
| 240× | pow2_binary64 |
| 221× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 177 | 15 |
| 2 | 2476 | 15 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 5000000000000000/5641895835477563 (/.f64 y z)) |
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) (/.f64 y z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) (/.f64 y z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 5000000000000000/5641895835477563 (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 5000000000000000/5641895835477563 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 5000000000000000/5641895835477563 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 5000000000000000/5641895835477563 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) 5000000000000000/5641895835477563) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 5000000000000000/5641895835477563 (neg.f64 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (*.f64 5000000000000000/5641895835477563 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z)) 3) 1/3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) z))) (/.f64 (pow.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z) 2) (-.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)) (pow.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)) 2) (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)) (sqrt.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (/.f64 y z) 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 x 3)) (/.f64 1 (fma.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z) (-.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z) 2)) (/.f64 1 (-.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z) (-.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z) x) (*.f64 x x)) (fma.f64 (pow.f64 (/.f64 y z) 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) z)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 y z) 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 x 3)) (fma.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z) (-.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z) x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 y z) 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 x 3)) (fma.f64 (pow.f64 (/.f64 z y) -2) 25000000000000000000000000000000/31830988618379068626528276418969 (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z) 2)) (-.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y z) 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 x 3))) (neg.f64 (fma.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z) (-.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z) 2))) (neg.f64 (-.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z) 2) (*.f64 x x)) (-.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z) (-.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z) x) (*.f64 x x)) (fma.f64 (pow.f64 (/.f64 y z) 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) z)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) (/.f64 y z)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 5000000000000000/5641895835477563) (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 (/.f64 1 z) 5000000000000000/5641895835477563) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y z) 5000000000000000/5641895835477563 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 z y) -2)) (*.f64 (cbrt.f64 (/.f64 y z)) 5000000000000000/5641895835477563) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z)) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z)) 2) (cbrt.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 5000000000000000/5641895835477563 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (*.f64 5000000000000000/5641895835477563 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 y z)) (*.f64 (sqrt.f64 (/.f64 y z)) 5000000000000000/5641895835477563) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z)) (sqrt.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (*.f64 5000000000000000/5641895835477563 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 5000000000000000/5641895835477563 y) (/.f64 1 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 5000000000000000/5641895835477563 (pow.f64 (cbrt.f64 z) 2)) (/.f64 y (cbrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 5000000000000000/5641895835477563 (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 5000000000000000/5641895835477563 (cbrt.f64 (pow.f64 (/.f64 z y) -2))) (cbrt.f64 (/.f64 y z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 5000000000000000/5641895835477563 (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)) x))))) |
| 1× | egg-herbie |
| 4× | fma-def_binary64 |
| 3× | *-commutative_binary64 |
| 2× | associate-/l*_binary64 |
| 1× | +-commutative_binary64 |
| 1× | associate-*r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 249 |
| 1 | 13 | 249 |
| 2 | 18 | 249 |
| 3 | 22 | 249 |
| 4 | 24 | 249 |
| 5 | 25 | 249 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 5000000000000000/5641895835477563 (/.f64 y z)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y z)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y z)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y z)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
| Outputs |
|---|
(*.f64 5000000000000000/5641895835477563 (/.f64 y z)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) |
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x) |
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) |
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x) |
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) |
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x) |
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) |
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x) |
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) |
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x) |
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) |
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x) |
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) |
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x) |
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) |
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x) |
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) |
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x) |
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) |
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x) |
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) |
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x) |
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) |
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x) |
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y z)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) |
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x) |
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) |
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x) |
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) |
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x) |
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y z)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) |
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x) |
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) |
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x) |
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) |
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x) |
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y z)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) |
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x) |
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) |
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x) |
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) |
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x) |
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) |
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x) |
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) |
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x) |
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) |
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x) |
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) |
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x) |
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) |
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x) |
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) |
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x) |
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (*.f64 (/.f64 1 x) 1)) |
Compiled 20 to 15 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 x (*.f64 (/.f64 1 x) 1)) |
| 0.0ms | x | @ | -inf | (+.f64 x (*.f64 (/.f64 1 x) 1)) |
| 0.0ms | x | @ | inf | (+.f64 x (*.f64 (/.f64 1 x) 1)) |
| 1× | batch-egg-rewrite |
| 567× | pow1_binary64 |
| 532× | add-log-exp_binary64 |
| 532× | log1p-expm1-u_binary64 |
| 532× | expm1-log1p-u_binary64 |
| 520× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 131 | 7 |
| 2 | 1530 | 7 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (*.f64 (/.f64 1 x) 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 1 x))) (/.f64 (pow.f64 x -2) (-.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2) (cbrt.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) (sqrt.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 x -2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (/.f64 1 (-.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (+.f64 (pow.f64 x -2) -1)) (+.f64 (pow.f64 x -3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (/.f64 1 x)) (-.f64 (*.f64 x x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -3) (pow.f64 x 3)) (fma.f64 x x (+.f64 (pow.f64 x -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -3) (pow.f64 x 3)) (+.f64 (pow.f64 x -2) (-.f64 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (-.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 x -2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 x -2))) (neg.f64 (-.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -2) (*.f64 x x)) (-.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 1 x)))))) |
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 69 |
| 1 | 8 | 69 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 1 x) |
(+.f64 (/.f64 1 x) x) |
(+.f64 (/.f64 1 x) x) |
(+.f64 (/.f64 1 x) x) |
x |
(+.f64 (/.f64 1 x) x) |
(+.f64 (/.f64 1 x) x) |
(+.f64 (/.f64 1 x) x) |
x |
(+.f64 (/.f64 1 x) x) |
(+.f64 (/.f64 1 x) x) |
(+.f64 (/.f64 1 x) x) |
| Outputs |
|---|
(/.f64 1 x) |
(+.f64 (/.f64 1 x) x) |
(+.f64 x (/.f64 1 x)) |
(+.f64 (/.f64 1 x) x) |
(+.f64 x (/.f64 1 x)) |
(+.f64 (/.f64 1 x) x) |
(+.f64 x (/.f64 1 x)) |
x |
(+.f64 (/.f64 1 x) x) |
(+.f64 x (/.f64 1 x)) |
(+.f64 (/.f64 1 x) x) |
(+.f64 x (/.f64 1 x)) |
(+.f64 (/.f64 1 x) x) |
(+.f64 x (/.f64 1 x)) |
x |
(+.f64 (/.f64 1 x) x) |
(+.f64 x (/.f64 1 x)) |
(+.f64 (/.f64 1 x) x) |
(+.f64 x (/.f64 1 x)) |
(+.f64 (/.f64 1 x) x) |
(+.f64 x (/.f64 1 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x))) |
| ✓ | 0.2b | (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) |
| ✓ | 8.1b | (/.f64 y (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x))))) |
| ✓ | 15.5b | (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x)))) |
Compiled 99 to 30 computations (69.7% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x)))) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x)))) |
| 1.0ms | y | @ | inf | (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x)))) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x)))) |
| 1.0ms | y | @ | -inf | (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x)))) |
| 1× | batch-egg-rewrite |
| 690× | log-prod_binary64 |
| 615× | prod-diff_binary64 |
| 245× | fma-def_binary64 |
| 228× | egg-rr |
| 210× | expm1-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 81 |
| 1 | 291 | 31 |
| 2 | 4671 | 25 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x)))) |
(/.f64 y (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x))))) |
(*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) 5641895835477563/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 5641895835477563/5000000000000000 (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y x 5641895835477563/5000000000000000) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (fma.f64 y x 5641895835477563/5000000000000000)))) (sqrt.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (fma.f64 y x 5641895835477563/5000000000000000))) (/.f64 (pow.f64 (*.f64 y x) 2) (fma.f64 y x 5641895835477563/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y x 5641895835477563/5000000000000000) (fma.f64 (neg.f64 (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 y x 5641895835477563/5000000000000000)))) (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 y x 5641895835477563/5000000000000000))) (/.f64 (pow.f64 (*.f64 y x) 2) (fma.f64 y x 5641895835477563/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 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31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (*.f64 y x) 2))) (fma.f64 y x 5641895835477563/5000000000000000) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (fma.f64 y x 5641895835477563/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3))) (fma.f64 (*.f64 y x) (fma.f64 y x 5641895835477563/5000000000000000) 31830988618379068626528276418969/25000000000000000000000000000000) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (fma.f64 y x 5641895835477563/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) 5641895835477563/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) (sqrt.f64 x) 5641895835477563/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 y) -1) x 5641895835477563/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) 5641895835477563/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) 5641895835477563/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y -1) x 5641895835477563/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) 5641895835477563/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) 5641895835477563/5000000000000000))))) |
| 1× | egg-herbie |
| 700× | distribute-lft-out_binary64 |
| 676× | distribute-neg-frac_binary64 |
| 441× | unswap-sqr_binary64 |
| 318× | *-commutative_binary64 |
| 233× | distribute-rgt-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 1154 |
| 1 | 158 | 1058 |
| 2 | 494 | 1054 |
| 3 | 2018 | 1052 |
| 4 | 5466 | 1052 |
| 1× | node limit |
| Inputs |
|---|
5641895835477563/5000000000000000 |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
5641895835477563/5000000000000000 |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y)) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))) |
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y)) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))) |
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
5641895835477563/5000000000000000 |
(+.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(*.f64 y x) |
(+.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(*.f64 y x) |
(+.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
5641895835477563/5000000000000000 |
(+.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(*.f64 y x) |
(+.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(*.f64 y x) |
(+.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
| Outputs |
|---|
5641895835477563/5000000000000000 |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 y (neg.f64 x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 y (neg.f64 x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
5641895835477563/5000000000000000 |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 y (neg.f64 x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 y (neg.f64 x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 y 5000000000000000/5641895835477563) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y)) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 x (*.f64 y y)) (*.f64 y 5000000000000000/5641895835477563)) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (*.f64 y 5000000000000000/5641895835477563)) |
(fma.f64 y 5000000000000000/5641895835477563 (*.f64 y (*.f64 y (*.f64 x 25000000000000000000000000000000/31830988618379068626528276418969)))) |
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(+.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -1 x)) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -1 x)) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))) |
(-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3))))) (/.f64 1 x))) |
(+.f64 (+.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -1 x)) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) |
(+.f64 (+.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -1 x)) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3))))) (/.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 x 4)) (pow.f64 y 3))) |
(+.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -1 x)) (-.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))) (/.f64 (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 x 4)) (pow.f64 y 3)))) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 y (*.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (*.f64 y x))) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 y (*.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (*.f64 y x))) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 y (*.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (*.f64 y x))) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 y (*.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (*.f64 y x))) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 y (*.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (*.f64 y x))) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 y (*.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (*.f64 y x))) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 y (*.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (*.f64 y x))) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 y (*.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (*.f64 y x))) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 y (*.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (*.f64 y x))) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 y (*.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (*.f64 y x))) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 y (*.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (*.f64 y x))) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 y (*.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (*.f64 y x))) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 y (*.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (*.f64 y x))) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 y (*.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (*.f64 y x))) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 y (*.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (*.f64 y x))) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 y (*.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (*.f64 y x))) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 y (*.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (*.f64 y x))) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 y (*.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (*.f64 y x))) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 y (*.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (*.f64 y x))) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 y (*.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (*.f64 y x))) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 y (*.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (*.f64 y x))) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 y (*.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (*.f64 y x))) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 y (*.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (*.f64 y x))) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 y (*.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (*.f64 y x))) |
5641895835477563/5000000000000000 |
(+.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y x 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y x 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y x 5641895835477563/5000000000000000) |
(*.f64 y x) |
(+.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y x 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y x 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y x 5641895835477563/5000000000000000) |
(*.f64 y x) |
(+.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y x 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y x 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y x 5641895835477563/5000000000000000) |
5641895835477563/5000000000000000 |
(+.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y x 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y x 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y x 5641895835477563/5000000000000000) |
(*.f64 y x) |
(+.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y x 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y x 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y x 5641895835477563/5000000000000000) |
(*.f64 y x) |
(+.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y x 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y x 5641895835477563/5000000000000000) |
(+.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(fma.f64 y x 5641895835477563/5000000000000000) |
Compiled 20899 to 12535 computations (40% saved)
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 663 | 3 | 666 |
| Fresh | 4 | 0 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 4 | 2 | 6 |
| Total | 672 | 5 | 677 |
| Status | Error | Program |
|---|---|---|
| ✓ | 19.1b | (+.f64 x (/.f64 -1 x)) |
| ▶ | 25.9b | (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
| 18.4b | x | |
| ✓ | 11.8b | (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
| ▶ | 56.0b | (*.f64 5000000000000000/5641895835477563 y) |
Compiled 38 to 28 computations (26.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.4b | (*.f64 5000000000000000/5641895835477563 y) |
Compiled 8 to 6 computations (25% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
| ✓ | 0.3b | (/.f64 y 5641895835477563/5000000000000000) |
Compiled 14 to 9 computations (35.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (/.f64 y 5641895835477563/5000000000000000) |
| 0.0ms | x | @ | 0 | (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
| 0.0ms | y | @ | inf | (/.f64 y 5641895835477563/5000000000000000) |
| 0.0ms | x | @ | -inf | (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
| 0.0ms | y | @ | -inf | (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
| 1× | batch-egg-rewrite |
| 743× | pow1_binary64 |
| 701× | add-log-exp_binary64 |
| 701× | log1p-expm1-u_binary64 |
| 701× | expm1-log1p-u_binary64 |
| 688× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 11 |
| 1 | 138 | 9 |
| 2 | 1889 | 9 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y 5641895835477563/5000000000000000) |
(+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y 5000000000000000/5641895835477563)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 5000000000000000/5641895835477563)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 5000000000000000/5641895835477563) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) (pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2) (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) -5000000000000000/5641895835477563)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 5000000000000000/5641895835477563 y)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 5000000000000000/5641895835477563) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 5641895835477563/5000000000000000 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y -5641895835477563/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y 5000000000000000/5641895835477563))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y 5000000000000000/5641895835477563 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y 5000000000000000/5641895835477563))) (/.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) (-.f64 x (*.f64 y 5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y 5000000000000000/5641895835477563 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) (pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 2) (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y 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(*.f64 y 5000000000000000/5641895835477563)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547)) (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547)) (+.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 y 5000000000000000/5641895835477563) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2)) (-.f64 x (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2))) (neg.f64 (-.f64 x (*.f64 y 5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) (*.f64 x x)) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 5000000000000000/5641895835477563 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y 5000000000000000/5641895835477563) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2) (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) x))))) |
| 1× | egg-herbie |
| 2× | fma-def_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 153 |
| 1 | 9 | 153 |
| 2 | 10 | 153 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
| Outputs |
|---|
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
Compiled 661 to 461 computations (30.3% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 71 | 0 | 71 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 71 | 5 | 76 |
| Status | Error | Program |
|---|---|---|
| ✓ | 19.1b | (+.f64 x (/.f64 -1 x)) |
| ✓ | 25.9b | (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
| 18.4b | x | |
| ✓ | 11.8b | (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
| ✓ | 56.0b | (*.f64 5000000000000000/5641895835477563 y) |
Compiled 38 to 28 computations (26.3% saved)
| Inputs |
|---|
x |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
(+.f64 x (*.f64 5000000000000000/5641895835477563 y)) |
(+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (*.f64 (/.f64 1 x) 1)) |
(+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 z) y)) |
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) |
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(+.f64 x (-.f64 (+.f64 1 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 1)) |
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))) |
(+.f64 x (/.f64 -1 (-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(+.f64 x (/.f64 y (-.f64 (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))) (*.f64 y x)))) |
(+.f64 x (/.f64 y (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x)))))) |
(+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y)) |
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) |
| Outputs |
|---|
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) |
7 calls:
| 11.0ms | y |
| 11.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
| 10.0ms | z |
| 10.0ms | x |
| 3.0ms | (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | z |
| 0.0b | 1 | (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
| 0.0b | 1 | (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
| 0.0b | 1 | (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
| 0.0b | 1 | (exp.f64 z) |
Compiled 237 to 145 computations (38.8% saved)
| Inputs |
|---|
x |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
(+.f64 x (*.f64 5000000000000000/5641895835477563 y)) |
(+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (*.f64 (/.f64 1 x) 1)) |
(+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 z) y)) |
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) |
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(+.f64 x (-.f64 (+.f64 1 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 1)) |
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))) |
(+.f64 x (/.f64 -1 (-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(+.f64 x (/.f64 y (-.f64 (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))) (*.f64 y x)))) |
(+.f64 x (/.f64 y (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x)))))) |
(+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y)) |
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
| Outputs |
|---|
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
6 calls:
| 21.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
| 19.0ms | z |
| 12.0ms | x |
| 11.0ms | y |
| 9.0ms | (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
| Error | Segments | Branch |
|---|---|---|
| 2.7b | 1 | x |
| 2.7b | 1 | y |
| 0.8b | 2 | z |
| 1.0b | 2 | (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
| 0.8b | 2 | (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
| 0.8b | 2 | (exp.f64 z) |
Compiled 219 to 133 computations (39.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.9969889942293236 |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
x |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
(+.f64 x (*.f64 5000000000000000/5641895835477563 y)) |
(+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (*.f64 (/.f64 1 x) 1)) |
(+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 z) y)) |
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) |
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(+.f64 x (-.f64 (+.f64 1 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 1)) |
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))) |
(+.f64 x (/.f64 -1 (-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(+.f64 x (/.f64 y (-.f64 (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))) (*.f64 y x)))) |
(+.f64 x (/.f64 y (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x)))))) |
(+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y)) |
| Outputs |
|---|
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
x |
4 calls:
| 27.0ms | z |
| 19.0ms | x |
| 10.0ms | y |
| 6.0ms | (exp.f64 z) |
| Error | Segments | Branch |
|---|---|---|
| 8.4b | 2 | x |
| 9.7b | 1 | y |
| 0.0b | 3 | z |
| 0.0b | 3 | (exp.f64 z) |
Compiled 185 to 111 computations (40% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.000000000005732 | 1.001525094306045 |
| 0.0ms | 0.0 | 0.9969889942293236 |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
x |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
(+.f64 x (*.f64 5000000000000000/5641895835477563 y)) |
(+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (*.f64 (/.f64 1 x) 1)) |
(+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 z) y)) |
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) |
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
| Outputs |
|---|
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (*.f64 5000000000000000/5641895835477563 y)) |
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (*.f64 5000000000000000/5641895835477563 y)) |
x |
3 calls:
| 46.0ms | y |
| 43.0ms | x |
| 39.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 13.5b | 5 | x |
| 12.3b | 3 | y |
| 4.6b | 7 | z |
Compiled 68 to 43 computations (36.8% saved)
| 6× | binary-search |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 2.8865586458592097e-22 | 1.256769718056429e-13 |
| 21.0ms | 1.1238693753705935e-102 | 2.5969615732228406e-95 |
| 22.0ms | 3.2045796562334236e-268 | 7.829920879847648e-268 |
| 21.0ms | -2.109198244449232e-138 | -1.0442066254646162e-142 |
| 21.0ms | -9.470494801170168e-107 | -4.677914098641318e-112 |
| 21.0ms | -55892690059705.6 | -15250115.177439675 |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
x |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
(+.f64 x (*.f64 5000000000000000/5641895835477563 y)) |
(+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
| Outputs |
|---|
x |
(+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
x |
(+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
x |
3 calls:
| 66.0ms | x |
| 47.0ms | y |
| 13.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 15.1b | 5 | x |
| 16.9b | 3 | y |
| 15.5b | 3 | z |
Compiled 34 to 23 computations (32.4% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 48.0ms | 6.94174506908158e-206 | 1.8331683326179277e-199 |
| 22.0ms | -1.9109734210197382e-276 | -1.3771285914421239e-304 |
| 22.0ms | -1.525590032445695e-251 | -7.212847632731177e-252 |
| 23.0ms | -1.0414997568987851e-60 | -6.705357994940169e-63 |
Compiled 21 to 15 computations (28.6% saved)
Total -46.2b remaining (-291.3%)
Threshold costs -46.2b (-291.3%)
| Inputs |
|---|
x |
(*.f64 5000000000000000/5641895835477563 y) |
| Outputs |
|---|
x |
(*.f64 5000000000000000/5641895835477563 y) |
x |
(*.f64 5000000000000000/5641895835477563 y) |
x |
3 calls:
| 53.0ms | x |
| 5.0ms | z |
| 3.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 15.9b | 5 | x |
| 18.4b | 1 | y |
| 18.4b | 1 | z |
Compiled 19 to 14 computations (26.3% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 6.94174506908158e-206 | 1.8331683326179277e-199 |
| 25.0ms | -1.9109734210197382e-276 | -1.3771285914421239e-304 |
| 22.0ms | -1.525590032445695e-251 | -7.212847632731177e-252 |
| 25.0ms | -2.088673802690198e-183 | -5.716516937713899e-190 |
Compiled 21 to 15 computations (28.6% saved)
| 1× | egg-herbie |
| 11× | +-commutative_binary64 |
| 6× | *-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 242 |
| 1 | 86 | 242 |
| 2 | 96 | 242 |
| 3 | 102 | 242 |
| 4 | 106 | 242 |
| 5 | 107 | 242 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) |
(if (<=.f64 (exp.f64 z) 0) (+.f64 x (/.f64 -1 x)) (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))) |
(if (<=.f64 (exp.f64 z) 0) (+.f64 x (/.f64 -1 x)) (if (<=.f64 (exp.f64 z) 2254051613498933/2251799813685248) (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) x)) |
(if (<=.f64 z -7154264327642317/128) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z -3912829447319099/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (+.f64 x (*.f64 5000000000000000/5641895835477563 y)) (if (<=.f64 z -3534965618468427/1675975991242824637446753124775730765934920727574049172215445180465220503759193372100234287270862928461253982273310756356719235351493321243304206125760512) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 2978290083364389/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) (if (<=.f64 z 5668186635813135/5043456793138493339171717132818382567050206626619577173497381555743452386751642958261026080625269202023248382759272448) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 6139031301681693/21267647932558653966460912964485513216) (+.f64 x (*.f64 5000000000000000/5641895835477563 y)) x)))))) |
(if (<=.f64 x -7537339549466703/7237005577332262213973186563042994240829374041602535252466099000494570602496) x (if (<=.f64 x -983838953730643/64489078507771636517619602650941968569195230229018740494135828738607654120693952572560700181598777819174120482575333090683880317322105168121403683894401803821824546386597300313565859091360649542605497181178123584490726109955024626323046496431523007383976877550993408) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) (if (<=.f64 x -4767497230150821/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) x (if (<=.f64 x 6273147191321703/90368446678662959902371482950548091627243325179250480789868861787606202571558351996987965471847359903068731695945087890499945499708108510324049698831582275405785474927446915858324226319766512887160235503322704971703517184) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) x)))) |
(if (<=.f64 x -2498088191749565/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744) x (if (<=.f64 x -983838953730643/64489078507771636517619602650941968569195230229018740494135828738607654120693952572560700181598777819174120482575333090683880317322105168121403683894401803821824546386597300313565859091360649542605497181178123584490726109955024626323046496431523007383976877550993408) (*.f64 5000000000000000/5641895835477563 y) (if (<=.f64 x -4767497230150821/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) x (if (<=.f64 x 6273147191321703/90368446678662959902371482950548091627243325179250480789868861787606202571558351996987965471847359903068731695945087890499945499708108510324049698831582275405785474927446915858324226319766512887160235503322704971703517184) (*.f64 5000000000000000/5641895835477563 y) x)))) |
x |
| Outputs |
|---|
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) |
(if (<=.f64 (exp.f64 z) 0) (+.f64 x (/.f64 -1 x)) (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))) |
(if (<=.f64 (exp.f64 z) 0) (+.f64 x (/.f64 -1 x)) (+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 x y))))) |
(if (<=.f64 (exp.f64 z) 0) (+.f64 x (/.f64 -1 x)) (if (<=.f64 (exp.f64 z) 2254051613498933/2251799813685248) (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) x)) |
(if (<=.f64 z -7154264327642317/128) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z -3912829447319099/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (+.f64 x (*.f64 5000000000000000/5641895835477563 y)) (if (<=.f64 z -3534965618468427/1675975991242824637446753124775730765934920727574049172215445180465220503759193372100234287270862928461253982273310756356719235351493321243304206125760512) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 2978290083364389/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) (if (<=.f64 z 5668186635813135/5043456793138493339171717132818382567050206626619577173497381555743452386751642958261026080625269202023248382759272448) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 6139031301681693/21267647932558653966460912964485513216) (+.f64 x (*.f64 5000000000000000/5641895835477563 y)) x)))))) |
(if (<=.f64 z -7154264327642317/128) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z -3912829447319099/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (+.f64 x (*.f64 y 5000000000000000/5641895835477563)) (if (<=.f64 z -3534965618468427/1675975991242824637446753124775730765934920727574049172215445180465220503759193372100234287270862928461253982273310756356719235351493321243304206125760512) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 2978290083364389/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) (if (<=.f64 z 5668186635813135/5043456793138493339171717132818382567050206626619577173497381555743452386751642958261026080625269202023248382759272448) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 6139031301681693/21267647932558653966460912964485513216) (+.f64 x (*.f64 y 5000000000000000/5641895835477563)) x)))))) |
(if (<=.f64 x -7537339549466703/7237005577332262213973186563042994240829374041602535252466099000494570602496) x (if (<=.f64 x -983838953730643/64489078507771636517619602650941968569195230229018740494135828738607654120693952572560700181598777819174120482575333090683880317322105168121403683894401803821824546386597300313565859091360649542605497181178123584490726109955024626323046496431523007383976877550993408) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) (if (<=.f64 x -4767497230150821/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) x (if (<=.f64 x 6273147191321703/90368446678662959902371482950548091627243325179250480789868861787606202571558351996987965471847359903068731695945087890499945499708108510324049698831582275405785474927446915858324226319766512887160235503322704971703517184) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) x)))) |
(if (<=.f64 x -2498088191749565/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744) x (if (<=.f64 x -983838953730643/64489078507771636517619602650941968569195230229018740494135828738607654120693952572560700181598777819174120482575333090683880317322105168121403683894401803821824546386597300313565859091360649542605497181178123584490726109955024626323046496431523007383976877550993408) (*.f64 5000000000000000/5641895835477563 y) (if (<=.f64 x -4767497230150821/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) x (if (<=.f64 x 6273147191321703/90368446678662959902371482950548091627243325179250480789868861787606202571558351996987965471847359903068731695945087890499945499708108510324049698831582275405785474927446915858324226319766512887160235503322704971703517184) (*.f64 5000000000000000/5641895835477563 y) x)))) |
(if (<=.f64 x -2498088191749565/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744) x (if (<=.f64 x -983838953730643/64489078507771636517619602650941968569195230229018740494135828738607654120693952572560700181598777819174120482575333090683880317322105168121403683894401803821824546386597300313565859091360649542605497181178123584490726109955024626323046496431523007383976877550993408) (*.f64 y 5000000000000000/5641895835477563) (if (<=.f64 x -4767497230150821/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) x (if (<=.f64 x 6273147191321703/90368446678662959902371482950548091627243325179250480789868861787606202571558351996987965471847359903068731695945087890499945499708108510324049698831582275405785474927446915858324226319766512887160235503322704971703517184) (*.f64 y 5000000000000000/5641895835477563) x)))) |
x |
Compiled 189 to 127 computations (32.8% saved)
| 1× | egg-herbie |
| 1229× | fma-def_binary64 |
| 1055× | div-sub_binary64 |
| 902× | fma-neg_binary64 |
| 409× | associate-/l*_binary64 |
| 380× | associate-/r*_binary64 |
Useful iterations: 9 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 18 |
| 1 | 20 | 18 |
| 2 | 35 | 18 |
| 3 | 52 | 18 |
| 4 | 81 | 18 |
| 5 | 127 | 18 |
| 6 | 205 | 18 |
| 7 | 292 | 18 |
| 8 | 396 | 18 |
| 9 | 540 | 16 |
| 10 | 737 | 16 |
| 11 | 1205 | 16 |
| 12 | 2291 | 16 |
| 13 | 4555 | 16 |
| 14 | 5844 | 16 |
| 15 | 6688 | 16 |
| 16 | 6856 | 16 |
| 17 | 6884 | 16 |
| 18 | 7254 | 16 |
| 1× | node limit |
Compiled 837 to 620 computations (25.9% saved)
Compiled 171 to 107 computations (37.4% saved)
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