Time bar (total: 11.4s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 0% | 99.9% | 0.1% | 7 |
| 0% | 99.9% | 0.1% | 8 |
| 0% | 99.9% | 0.1% | 9 |
| 21.1% | 74.5% | 4.4% | 10 |
| 25.4% | 69.8% | 4.8% | 11 |
| 30.6% | 64.2% | 5.2% | 12 |
Compiled 15 to 11 computations (26.7% saved)
| 1.9s | 8256× | body | 256 | valid |
| 227.0ms | 1629× | body | 256 | invalid |
| 2× | egg-herbie |
| 738× | fma-def_binary64 |
| 512× | times-frac_binary64 |
| 390× | distribute-frac-neg_binary64 |
| 340× | distribute-rgt-neg-in_binary64 |
| 276× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 64 |
| 1 | 69 | 64 |
| 2 | 178 | 56 |
| 3 | 581 | 56 |
| 4 | 1729 | 56 |
| 5 | 5936 | 44 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
(/.f64 (*.f64 4 (-.f64 (-.f64 y x) (*.f64 z 1/2))) z) |
(/.f64 (*.f64 4 (-.f64 (-.f64 z y) (*.f64 x 1/2))) x) |
(/.f64 (*.f64 4 (-.f64 (-.f64 x z) (*.f64 y 1/2))) y) |
| Outputs |
|---|
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
(/.f64 4 (/.f64 z (-.f64 x (+.f64 y (*.f64 z 1/2))))) |
(/.f64 (-.f64 x (+.f64 y (*.f64 z 1/2))) (/.f64 z 4)) |
(/.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 z 4)) |
(*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z)) |
(*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z)) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(/.f64 (*.f64 4 (-.f64 (-.f64 y x) (*.f64 z 1/2))) z) |
(/.f64 4 (/.f64 z (-.f64 (-.f64 y x) (*.f64 z 1/2)))) |
(*.f64 (/.f64 4 z) (+.f64 (-.f64 y x) (*.f64 z -1/2))) |
(*.f64 (-.f64 y (fma.f64 z 1/2 x)) (/.f64 4 z)) |
(*.f64 4 (/.f64 (-.f64 y (fma.f64 z 1/2 x)) z)) |
(fma.f64 (-.f64 y x) (/.f64 4 z) -2) |
(/.f64 (*.f64 4 (-.f64 (-.f64 z y) (*.f64 x 1/2))) x) |
(/.f64 4 (/.f64 x (-.f64 z (+.f64 y (*.f64 x 1/2))))) |
(*.f64 (/.f64 4 x) (+.f64 (-.f64 z y) (*.f64 x -1/2))) |
(*.f64 (-.f64 z (fma.f64 x 1/2 y)) (/.f64 4 x)) |
(*.f64 4 (/.f64 (-.f64 z (fma.f64 x 1/2 y)) x)) |
(fma.f64 (-.f64 z y) (/.f64 4 x) -2) |
(/.f64 (*.f64 4 (-.f64 (-.f64 x z) (*.f64 y 1/2))) y) |
(*.f64 (/.f64 4 y) (+.f64 (-.f64 x z) (*.f64 y -1/2))) |
(*.f64 (-.f64 x (fma.f64 y 1/2 z)) (/.f64 4 y)) |
(*.f64 4 (/.f64 (fma.f64 y -1/2 (-.f64 x z)) y)) |
(*.f64 4 (/.f64 (-.f64 x (fma.f64 y 1/2 z)) y)) |
(fma.f64 (-.f64 x z) (/.f64 4 y) -2) |
Compiled 17 to 13 computations (23.5% saved)
| 1× | egg-herbie |
| 925× | fma-neg_binary64 |
| 796× | fma-def_binary64 |
| 768× | times-frac_binary64 |
| 456× | cancel-sign-sub-inv_binary64 |
| 435× | associate-/l*_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 16 |
| 1 | 24 | 16 |
| 2 | 59 | 14 |
| 3 | 184 | 14 |
| 4 | 516 | 14 |
| 5 | 1668 | 11 |
| 6 | 6056 | 11 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
| Outputs |
|---|
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
(/.f64 4 (/.f64 z (-.f64 x (+.f64 y (*.f64 z 1/2))))) |
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (*.f64 z -1/2))) |
(*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z)) |
(*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z)) |
(*.f64 4 (/.f64 (-.f64 (fma.f64 z -1/2 x) y) z)) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
Compiled 22 to 14 computations (36.4% 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 |
|---|---|---|
| ▶ | 0.0b | (/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
| ▶ | 0.2b | (fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
Compiled 25 to 18 computations (28% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
Compiled 41 to 22 computations (46.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
| 1.0ms | x | @ | -inf | (/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
| 1.0ms | z | @ | inf | (/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
| 1× | batch-egg-rewrite |
| 649× | log-prod_binary64 |
| 434× | fma-def_binary64 |
| 342× | pow2_binary64 |
| 250× | fma-neg_binary64 |
| 235× | pow1/3_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 16 |
| 1 | 255 | 16 |
| 2 | 3702 | 14 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1 (/.f64 z (-.f64 x (fma.f64 z 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (fma.f64 z 1/2 y)) (*.f64 4 (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y))) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))) (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))) 2) (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y)))) 2) (*.f64 (cbrt.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y)))) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 (/.f64 z (-.f64 x (fma.f64 z 1/2 y))))) (/.f64 2 (sqrt.f64 (/.f64 z (-.f64 x (fma.f64 z 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (-.f64 x (fma.f64 z 1/2 y)))) (*.f64 (*.f64 2 (sqrt.f64 (-.f64 x (fma.f64 z 1/2 y)))) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) -4) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (*.f64 4 (-.f64 x (fma.f64 z 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) 1) (/.f64 4 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y)))) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2 (sqrt.f64 (-.f64 x (fma.f64 z 1/2 y)))) 1) (/.f64 (*.f64 2 (sqrt.f64 (-.f64 x (fma.f64 z 1/2 y)))) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 x (fma.f64 z 1/2 y)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 4 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y))) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y)))) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2 (sqrt.f64 (-.f64 x (fma.f64 z 1/2 y)))) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (*.f64 2 (sqrt.f64 (-.f64 x (fma.f64 z 1/2 y)))) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (sqrt.f64 z)) (/.f64 (-.f64 x (fma.f64 z 1/2 y)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) (sqrt.f64 z)) (/.f64 4 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y))) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y)))) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y)))) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 16 (pow.f64 (/.f64 z (-.f64 x (fma.f64 z 1/2 y))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (sqrt.f64 (/.f64 z (-.f64 x (fma.f64 z 1/2 y))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (/.f64 z (-.f64 x (fma.f64 z 1/2 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y))) 3) (pow.f64 z 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 1/4 (/.f64 z (-.f64 x (fma.f64 z 1/2 y)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y))) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 16 (pow.f64 (/.f64 z (-.f64 x (fma.f64 z 1/2 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y))) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))) 1)))))) |
| 1× | egg-herbie |
| 653× | fma-def_binary64 |
| 598× | fma-neg_binary64 |
| 520× | div-sub_binary64 |
| 349× | times-frac_binary64 |
| 305× | sub-neg_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 606 |
| 1 | 79 | 550 |
| 2 | 161 | 545 |
| 3 | 278 | 545 |
| 4 | 498 | 356 |
| 5 | 865 | 353 |
| 6 | 1865 | 353 |
| 7 | 3003 | 353 |
| 8 | 5255 | 353 |
| 9 | 7107 | 353 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)) |
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z))) |
(*.f64 -4 (/.f64 y z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(*.f64 -4 (/.f64 y z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
-2 |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
-2 |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
| Outputs |
|---|
(*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)) |
(*.f64 -4 (/.f64 (fma.f64 1/2 z y) z)) |
(*.f64 (fma.f64 1/2 z y) (/.f64 -4 z)) |
(fma.f64 -4 (/.f64 y z) -2) |
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z))) |
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z))) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z))) |
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z))) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z))) |
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z))) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z))) |
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z))) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z))) |
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z))) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z))) |
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z))) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z))) |
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z))) |
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z))) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z))) |
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z))) |
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z))) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z))) |
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z))) |
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z))) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)) |
(*.f64 4 (/.f64 (+.f64 x (*.f64 -1/2 z)) z)) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 x (/.f64 4 z) -2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z))) |
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z))) |
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z))) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z))) |
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z))) |
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z))) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z))) |
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z))) |
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z))) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 (*.f64 -4 y) z) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z))) |
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z))) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z))) |
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z))) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z))) |
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z))) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 (*.f64 -4 y) z) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z))) |
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z))) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z))) |
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z))) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z))) |
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z))) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z))) |
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z))) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z))) |
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z))) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z))) |
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z))) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
-2 |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z))) |
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z))) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z))) |
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z))) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z))) |
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z))) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
-2 |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z))) |
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z))) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z))) |
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z))) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z))) |
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z))) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
Compiled 22 to 12 computations (45.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | -inf | (fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
| 1.0ms | x | @ | 0 | (fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
| 1.0ms | y | @ | 0 | (fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
| 1.0ms | z | @ | 0 | (fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
| 0.0ms | z | @ | inf | (fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
| 1× | batch-egg-rewrite |
| 509× | unpow-prod-down_binary64 |
| 418× | log-prod_binary64 |
| 368× | prod-diff_binary64 |
| 257× | pow2_binary64 |
| 245× | pow-prod-down_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 11 |
| 1 | 199 | 11 |
| 2 | 2550 | 11 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (*.f64 (-.f64 x y) (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 1) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)) (cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 2)) (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)) (sqrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 (-.f64 x y) (/.f64 4 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) 2) 3) (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3) -8) (+.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2) (-.f64 4 (*.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2) 4) (fma.f64 (-.f64 x y) (/.f64 4 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)) 1) 1)))))) |
| 1× | egg-herbie |
| 854× | fma-def_binary64 |
| 667× | fma-neg_binary64 |
| 238× | cancel-sign-sub-inv_binary64 |
| 136× | distribute-rgt-in_binary64 |
| 84× | unsub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 515 |
| 1 | 43 | 461 |
| 2 | 81 | 461 |
| 3 | 124 | 353 |
| 4 | 230 | 353 |
| 5 | 440 | 353 |
| 6 | 911 | 353 |
| 7 | 1818 | 353 |
| 8 | 2829 | 353 |
| 9 | 3186 | 353 |
| 10 | 3276 | 353 |
| 11 | 3441 | 353 |
| 12 | 3441 | 353 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (*.f64 -4 (/.f64 y z)) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(*.f64 4 (/.f64 x z)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(*.f64 4 (/.f64 x z)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(*.f64 -4 (/.f64 y z)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(*.f64 -4 (/.f64 y z)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
-2 |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
-2 |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
| Outputs |
|---|
(-.f64 (*.f64 -4 (/.f64 y z)) 2) |
(fma.f64 -4 (/.f64 y z) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(*.f64 4 (/.f64 x z)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(*.f64 4 (/.f64 x z)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 -4 (/.f64 z y)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 -4 (/.f64 z y)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(/.f64 (*.f64 4 (-.f64 x y)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
-2 |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
-2 |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
Compiled 1593 to 1025 computations (35.7% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 105 | 11 | 116 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 107 | 11 | 118 |
| Status | Error | Program |
|---|---|---|
| ▶ | 25.1b | (*.f64 4 (/.f64 (-.f64 x y) z)) |
| 45.6b | (/.f64 (*.f64 -4 y) z) | |
| ▶ | 45.6b | (/.f64 -4 (/.f64 z y)) |
| 17.8b | (fma.f64 x (/.f64 4 z) -2) | |
| ▶ | 17.7b | (-.f64 (*.f64 4 (/.f64 x z)) 2) |
| ▶ | 42.6b | (*.f64 4 (/.f64 x z)) |
| 42.7b | (*.f64 x (/.f64 4 z)) | |
| ▶ | 0.0b | (-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
| 20.9b | (-.f64 (*.f64 -4 (/.f64 y z)) 2) | |
| 37.7b | -2 | |
| 34.5b | (*.f64 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) (sqrt.f64 z)) (/.f64 4 (sqrt.f64 z))) |
Compiled 212 to 158 computations (25.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
| ✓ | 0.0b | (*.f64 4 (/.f64 x z)) |
| ✓ | 0.0b | (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
| ✓ | 0.0b | (*.f64 -4 (/.f64 y z)) |
Compiled 49 to 24 computations (51% saved)
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | inf | (*.f64 -4 (/.f64 y z)) |
| 1.0ms | y | @ | inf | (*.f64 -4 (/.f64 y z)) |
| 1.0ms | y | @ | 0 | (*.f64 -4 (/.f64 y z)) |
| 1.0ms | z | @ | 0 | (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
| 1.0ms | x | @ | 0 | (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
| 1× | batch-egg-rewrite |
| 707× | log-prod_binary64 |
| 544× | fma-def_binary64 |
| 314× | fma-neg_binary64 |
| 262× | expm1-udef_binary64 |
| 262× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 45 |
| 1 | 297 | 43 |
| 2 | 4111 | 43 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -4 (/.f64 y z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 x z)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 4 (/.f64 x z) (/.f64 (*.f64 -4 y) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (*.f64 -4 y) z) 2) (/.f64 (-.f64 (*.f64 -4 y) (*.f64 4 x)) z)) (/.f64 (*.f64 16 (pow.f64 (/.f64 x z) 2)) (/.f64 (-.f64 (*.f64 -4 y) (*.f64 4 x)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (/.f64 x z) (/.f64 (*.f64 -4 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 4 (/.f64 x z) (/.f64 (*.f64 -4 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) (/.f64 (*.f64 -4 y) z))) (cbrt.f64 (pow.f64 (fma.f64 4 (/.f64 x z) (/.f64 (*.f64 -4 y) z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 4 (/.f64 x z) (/.f64 (*.f64 -4 y) z)) 2)) (cbrt.f64 (fma.f64 4 (/.f64 x z) (/.f64 (*.f64 -4 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 4 (/.f64 x z) (/.f64 (*.f64 -4 y) 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(sqrt.f64 (/.f64 x z)) 4) (fma.f64 -4 (/.f64 y z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (*.f64 -4 y) z)) (sqrt.f64 (/.f64 (*.f64 -4 y) z)) (fma.f64 4 (/.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (*.f64 -4 y) z)) (sqrt.f64 (/.f64 (*.f64 -4 y) z)) (*.f64 (fma.f64 4 (/.f64 x z) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 (/.f64 x z))) (*.f64 2 (sqrt.f64 (/.f64 x z))) (fma.f64 -4 (/.f64 y z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 (/.f64 x z) 3) 64 (pow.f64 (/.f64 (*.f64 -4 y) z) 3)) (/.f64 1 (fma.f64 (*.f64 4 (/.f64 x z)) (-.f64 (*.f64 4 (/.f64 x z)) (/.f64 (*.f64 -4 y) z)) (pow.f64 (/.f64 (*.f64 -4 y) z) 2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 (*.f64 -4 y) z) 2) (*.f64 16 (pow.f64 (/.f64 x z) 2))) (/.f64 1 (/.f64 (-.f64 (*.f64 -4 y) (*.f64 4 x)) z)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4 y) (/.f64 1 z) (fma.f64 4 (/.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4 y) (/.f64 1 z) (*.f64 (fma.f64 4 (/.f64 x z) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 x) (/.f64 1 z) (fma.f64 -4 (/.f64 y z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)) (cbrt.f64 (fma.f64 4 (/.f64 x z) -2))) (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)) (/.f64 (*.f64 -4 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 4 (/.f64 x z) -2)) (sqrt.f64 (fma.f64 4 (/.f64 x z) -2)) (/.f64 (*.f64 -4 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -4 (cbrt.f64 (*.f64 z z))) (/.f64 y (cbrt.f64 z)) (fma.f64 4 (/.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -4 (cbrt.f64 (*.f64 z z))) (/.f64 y (cbrt.f64 z)) (*.f64 (fma.f64 4 (/.f64 x z) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -4 (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)) (fma.f64 4 (/.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -4 (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)) (*.f64 (fma.f64 4 (/.f64 x z) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 4 (cbrt.f64 (*.f64 z z))) (/.f64 x (cbrt.f64 z)) (fma.f64 -4 (/.f64 y z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 4 (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)) (fma.f64 -4 (/.f64 y z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4 (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (cbrt.f64 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4 (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (cbrt.f64 (/.f64 y z)) (*.f64 (fma.f64 4 (/.f64 x z) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4 (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4 (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)) (*.f64 (fma.f64 4 (/.f64 x z) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (cbrt.f64 (/.f64 x z)) (fma.f64 -4 (/.f64 y z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)) (fma.f64 -4 (/.f64 y z) -2)))))) |
| 1× | egg-herbie |
| 718× | fma-neg_binary64 |
| 530× | fma-def_binary64 |
| 174× | cancel-sign-sub-inv_binary64 |
| 102× | div-sub_binary64 |
| 97× | associate-/l*_binary64 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 276 |
| 1 | 48 | 276 |
| 2 | 83 | 273 |
| 3 | 121 | 273 |
| 4 | 197 | 257 |
| 5 | 334 | 257 |
| 6 | 685 | 251 |
| 7 | 1341 | 251 |
| 8 | 2272 | 251 |
| 9 | 2802 | 251 |
| 10 | 2949 | 251 |
| 11 | 3086 | 251 |
| 12 | 3092 | 251 |
| 13 | 3092 | 251 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 4 (/.f64 x z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
-2 |
-2 |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) 2) |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) 2) |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) 2) |
(-.f64 (*.f64 -4 (/.f64 y z)) 2) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
| Outputs |
|---|
(*.f64 4 (/.f64 x z)) |
(/.f64 (*.f64 4 x) z) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 y (/.f64 z -4)) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 y (/.f64 z -4)) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 (*.f64 -4 (-.f64 y x)) z) |
(*.f64 (/.f64 4 z) (-.f64 x y)) |
(*.f64 (/.f64 (-.f64 y x) z) -4) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 (*.f64 -4 (-.f64 y x)) z) |
(*.f64 (/.f64 4 z) (-.f64 x y)) |
(*.f64 (/.f64 (-.f64 y x) z) -4) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 (*.f64 -4 (-.f64 y x)) z) |
(*.f64 (/.f64 4 z) (-.f64 x y)) |
(*.f64 (/.f64 (-.f64 y x) z) -4) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 (*.f64 -4 (-.f64 y x)) z) |
(*.f64 (/.f64 4 z) (-.f64 x y)) |
(*.f64 (/.f64 (-.f64 y x) z) -4) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 (*.f64 -4 (-.f64 y x)) z) |
(*.f64 (/.f64 4 z) (-.f64 x y)) |
(*.f64 (/.f64 (-.f64 y x) z) -4) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 (*.f64 -4 (-.f64 y x)) z) |
(*.f64 (/.f64 4 z) (-.f64 x y)) |
(*.f64 (/.f64 (-.f64 y x) z) -4) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 (*.f64 -4 (-.f64 y x)) z) |
(*.f64 (/.f64 4 z) (-.f64 x y)) |
(*.f64 (/.f64 (-.f64 y x) z) -4) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 (*.f64 -4 (-.f64 y x)) z) |
(*.f64 (/.f64 4 z) (-.f64 x y)) |
(*.f64 (/.f64 (-.f64 y x) z) -4) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 (*.f64 -4 (-.f64 y x)) z) |
(*.f64 (/.f64 4 z) (-.f64 x y)) |
(*.f64 (/.f64 (-.f64 y x) z) -4) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 (*.f64 -4 (-.f64 y x)) z) |
(*.f64 (/.f64 4 z) (-.f64 x y)) |
(*.f64 (/.f64 (-.f64 y x) z) -4) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 (*.f64 -4 (-.f64 y x)) z) |
(*.f64 (/.f64 4 z) (-.f64 x y)) |
(*.f64 (/.f64 (-.f64 y x) z) -4) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 (*.f64 -4 (-.f64 y x)) z) |
(*.f64 (/.f64 4 z) (-.f64 x y)) |
(*.f64 (/.f64 (-.f64 y x) z) -4) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 y (/.f64 z -4)) |
(*.f64 4 (/.f64 x z)) |
(/.f64 (*.f64 4 x) z) |
(*.f64 4 (/.f64 x z)) |
(/.f64 (*.f64 4 x) z) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 x (/.f64 4 z) -2) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 y (/.f64 z -4)) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 y (/.f64 z -4)) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 (*.f64 -4 (-.f64 y x)) z) |
(*.f64 (/.f64 4 z) (-.f64 x y)) |
(*.f64 (/.f64 (-.f64 y x) z) -4) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
-2 |
-2 |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) 2) |
(fma.f64 -1 (/.f64 (fma.f64 4 y (*.f64 x -4)) z) -2) |
(+.f64 (/.f64 (fma.f64 4 x (*.f64 -4 y)) z) -2) |
(+.f64 (/.f64 (fma.f64 -4 y (*.f64 4 x)) z) -2) |
(+.f64 -2 (/.f64 (*.f64 -4 (-.f64 y x)) z)) |
(-.f64 -2 (/.f64 (*.f64 4 (-.f64 y x)) z)) |
(fma.f64 (/.f64 4 z) (-.f64 x y) -2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) 2) |
(fma.f64 -1 (/.f64 (fma.f64 4 y (*.f64 x -4)) z) -2) |
(+.f64 (/.f64 (fma.f64 4 x (*.f64 -4 y)) z) -2) |
(+.f64 (/.f64 (fma.f64 -4 y (*.f64 4 x)) z) -2) |
(+.f64 -2 (/.f64 (*.f64 -4 (-.f64 y x)) z)) |
(-.f64 -2 (/.f64 (*.f64 4 (-.f64 y x)) z)) |
(fma.f64 (/.f64 4 z) (-.f64 x y) -2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) 2) |
(fma.f64 -1 (/.f64 (fma.f64 4 y (*.f64 x -4)) z) -2) |
(+.f64 (/.f64 (fma.f64 4 x (*.f64 -4 y)) z) -2) |
(+.f64 (/.f64 (fma.f64 -4 y (*.f64 4 x)) z) -2) |
(+.f64 -2 (/.f64 (*.f64 -4 (-.f64 y x)) z)) |
(-.f64 -2 (/.f64 (*.f64 4 (-.f64 y x)) z)) |
(fma.f64 (/.f64 4 z) (-.f64 x y) -2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (*.f64 -4 (/.f64 y z)) 2) |
(fma.f64 -4 (/.f64 y z) -2) |
(*.f64 4 (/.f64 x z)) |
(/.f64 (*.f64 4 x) z) |
(*.f64 4 (/.f64 x z)) |
(/.f64 (*.f64 4 x) z) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 4 (/.f64 x z)) |
Compiled 14 to 7 computations (50% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.7b | (/.f64 -4 (/.f64 z y)) |
Compiled 14 to 7 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (/.f64 -4 (/.f64 z y)) |
| 0.0ms | z | @ | inf | (/.f64 -4 (/.f64 z y)) |
| 0.0ms | y | @ | inf | (/.f64 -4 (/.f64 z y)) |
| 0.0ms | z | @ | -inf | (/.f64 -4 (/.f64 z y)) |
| 0.0ms | y | @ | -inf | (/.f64 -4 (/.f64 z y)) |
| 1× | batch-egg-rewrite |
| 698× | pow1_binary64 |
| 653× | add-log-exp_binary64 |
| 653× | log1p-expm1-u_binary64 |
| 653× | expm1-log1p-u_binary64 |
| 640× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 134 | 7 |
| 2 | 1772 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -4 (/.f64 z y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 -4 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -4 (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -4 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 2) (cbrt.f64 (*.f64 -4 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -4 (/.f64 y z))) (sqrt.f64 (*.f64 -4 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1 (/.f64 (neg.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y z) -4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4 z) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4 (neg.f64 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -4 z) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -4 z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -4 z) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -4 (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -4 (/.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z y) -1/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 16 (pow.f64 (/.f64 z y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -4) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -4 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -4 (/.f64 y z)))))))) |
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 2× | associate-/l*_binary64 |
| 1× | associate-*r/_binary64 |
| 1× | associate-*l/_binary64 |
| 1× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 168 |
| 1 | 9 | 168 |
| 2 | 13 | 168 |
| 3 | 17 | 168 |
| 4 | 18 | 168 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
| Outputs |
|---|
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 4 (/.f64 (-.f64 x y) z)) |
| ✓ | 0.0b | (/.f64 (-.f64 x y) z) |
Compiled 22 to 8 computations (63.6% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | z | @ | inf | (/.f64 (-.f64 x y) z) |
| 2.0ms | x | @ | -inf | (*.f64 4 (/.f64 (-.f64 x y) z)) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 x y) z) |
| 1.0ms | z | @ | -inf | (/.f64 (-.f64 x y) z) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 x y) z) |
| 1× | batch-egg-rewrite |
| 541× | prod-diff_binary64 |
| 472× | log-prod_binary64 |
| 366× | exp-prod_binary64 |
| 271× | pow-prod-down_binary64 |
| 250× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 182 | 17 |
| 2 | 2623 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) z) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (-.f64 x y) z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 x y) z)) 4)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 x y) z)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 x y) z)) 4))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 x y) z)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) z) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 z (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 (-.f64 x y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x y) 4) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 x y) 4)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 x y) 4) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 x y) 4) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 x y) 4) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 x y)) 4) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x y) z) 4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 (-.f64 x y) z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (*.f64 (-.f64 x y) 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 (-.f64 x y) z) 4))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 (-.f64 x y) z) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 (-.f64 x y) z) 4)))) (sqrt.f64 (log.f64 (*.f64 (/.f64 (-.f64 x y) z) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 x y) z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 x y) z) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 x y) z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 x y) z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 x y) z) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 (-.f64 x y) z) 4))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x y) z) 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 x y) z) 4)) 1) 1)))))) |
| 1× | egg-herbie |
| 588× | fma-def_binary64 |
| 455× | fma-neg_binary64 |
| 146× | cancel-sign-sub-inv_binary64 |
| 127× | distribute-rgt-in_binary64 |
| 102× | associate-*l*_binary64 |
Useful iterations: 10 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 522 |
| 1 | 28 | 504 |
| 2 | 47 | 504 |
| 3 | 65 | 504 |
| 4 | 82 | 504 |
| 5 | 112 | 504 |
| 6 | 170 | 504 |
| 7 | 243 | 486 |
| 8 | 392 | 486 |
| 9 | 713 | 432 |
| 10 | 1382 | 378 |
| 11 | 2304 | 378 |
| 12 | 2646 | 378 |
| 13 | 2901 | 378 |
| 14 | 2905 | 378 |
| 15 | 2905 | 378 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1 (/.f64 y z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(/.f64 x z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(/.f64 x z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(/.f64 x z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(*.f64 -1 (/.f64 y z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(*.f64 -1 (/.f64 y z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(*.f64 -4 (/.f64 y z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 y z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 y z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 y z)) |
(neg.f64 (/.f64 y z)) |
(/.f64 (neg.f64 y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(-.f64 (/.f64 x z) (/.f64 y z)) |
(/.f64 (-.f64 x y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(-.f64 (/.f64 x z) (/.f64 y z)) |
(/.f64 (-.f64 x y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(-.f64 (/.f64 x z) (/.f64 y z)) |
(/.f64 (-.f64 x y) z) |
(/.f64 x z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(-.f64 (/.f64 x z) (/.f64 y z)) |
(/.f64 (-.f64 x y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(-.f64 (/.f64 x z) (/.f64 y z)) |
(/.f64 (-.f64 x y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(-.f64 (/.f64 x z) (/.f64 y z)) |
(/.f64 (-.f64 x y) z) |
(/.f64 x z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(-.f64 (/.f64 x z) (/.f64 y z)) |
(/.f64 (-.f64 x y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(-.f64 (/.f64 x z) (/.f64 y z)) |
(/.f64 (-.f64 x y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(-.f64 (/.f64 x z) (/.f64 y z)) |
(/.f64 (-.f64 x y) z) |
(/.f64 x z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(-.f64 (/.f64 x z) (/.f64 y z)) |
(/.f64 (-.f64 x y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(-.f64 (/.f64 x z) (/.f64 y z)) |
(/.f64 (-.f64 x y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(-.f64 (/.f64 x z) (/.f64 y z)) |
(/.f64 (-.f64 x y) z) |
(*.f64 -1 (/.f64 y z)) |
(neg.f64 (/.f64 y z)) |
(/.f64 (neg.f64 y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(-.f64 (/.f64 x z) (/.f64 y z)) |
(/.f64 (-.f64 x y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(-.f64 (/.f64 x z) (/.f64 y z)) |
(/.f64 (-.f64 x y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(-.f64 (/.f64 x z) (/.f64 y z)) |
(/.f64 (-.f64 x y) z) |
(*.f64 -1 (/.f64 y z)) |
(neg.f64 (/.f64 y z)) |
(/.f64 (neg.f64 y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(-.f64 (/.f64 x z) (/.f64 y z)) |
(/.f64 (-.f64 x y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(-.f64 (/.f64 x z) (/.f64 y z)) |
(/.f64 (-.f64 x y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(-.f64 (/.f64 x z) (/.f64 y z)) |
(/.f64 (-.f64 x y) z) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 (/.f64 y z) -4) |
(/.f64 -4 (/.f64 z y)) |
(*.f64 y (/.f64 -4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4)) |
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z))) |
(*.f64 (/.f64 4 z) (-.f64 x y)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4)) |
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z))) |
(*.f64 (/.f64 4 z) (-.f64 x y)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4)) |
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z))) |
(*.f64 (/.f64 4 z) (-.f64 x y)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 (/.f64 x z) 4) |
(*.f64 x (/.f64 4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4)) |
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z))) |
(*.f64 (/.f64 4 z) (-.f64 x y)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4)) |
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z))) |
(*.f64 (/.f64 4 z) (-.f64 x y)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4)) |
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z))) |
(*.f64 (/.f64 4 z) (-.f64 x y)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 (/.f64 x z) 4) |
(*.f64 x (/.f64 4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4)) |
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z))) |
(*.f64 (/.f64 4 z) (-.f64 x y)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4)) |
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z))) |
(*.f64 (/.f64 4 z) (-.f64 x y)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4)) |
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z))) |
(*.f64 (/.f64 4 z) (-.f64 x y)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 (/.f64 x z) 4) |
(*.f64 x (/.f64 4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4)) |
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z))) |
(*.f64 (/.f64 4 z) (-.f64 x y)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4)) |
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z))) |
(*.f64 (/.f64 4 z) (-.f64 x y)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4)) |
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z))) |
(*.f64 (/.f64 4 z) (-.f64 x y)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 (/.f64 y z) -4) |
(/.f64 -4 (/.f64 z y)) |
(*.f64 y (/.f64 -4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4)) |
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z))) |
(*.f64 (/.f64 4 z) (-.f64 x y)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4)) |
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z))) |
(*.f64 (/.f64 4 z) (-.f64 x y)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4)) |
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z))) |
(*.f64 (/.f64 4 z) (-.f64 x y)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 (/.f64 y z) -4) |
(/.f64 -4 (/.f64 z y)) |
(*.f64 y (/.f64 -4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4)) |
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z))) |
(*.f64 (/.f64 4 z) (-.f64 x y)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4)) |
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z))) |
(*.f64 (/.f64 4 z) (-.f64 x y)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4)) |
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z))) |
(*.f64 (/.f64 4 z) (-.f64 x y)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 4 (/.f64 x z)) 2) |
| 0.0b | (*.f64 4 (/.f64 x z)) |
Compiled 22 to 12 computations (45.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (-.f64 (*.f64 4 (/.f64 x z)) 2) |
| 0.0ms | x | @ | -inf | (-.f64 (*.f64 4 (/.f64 x z)) 2) |
| 0.0ms | x | @ | inf | (-.f64 (*.f64 4 (/.f64 x z)) 2) |
| 0.0ms | z | @ | inf | (-.f64 (*.f64 4 (/.f64 x z)) 2) |
| 0.0ms | z | @ | 0 | (-.f64 (*.f64 4 (/.f64 x z)) 2) |
| 1× | batch-egg-rewrite |
| 933× | pow1_binary64 |
| 873× | add-log-exp_binary64 |
| 872× | log1p-expm1-u_binary64 |
| 872× | expm1-log1p-u_binary64 |
| 858× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 8 |
| 1 | 180 | 8 |
| 2 | 2298 | 8 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (/.f64 x z)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (*.f64 4 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (/.f64 x z) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 4 (/.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)) (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)) 2) (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 4 (/.f64 x z) -2)) (sqrt.f64 (fma.f64 4 (/.f64 x z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8) (/.f64 1 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) (+.f64 4 (*.f64 (/.f64 x z) 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) -4) (/.f64 1 (fma.f64 4 (/.f64 x z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) (+.f64 4 (*.f64 (/.f64 x z) 8))) (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 4 (/.f64 x z) 2) (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8) (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) (+.f64 4 (*.f64 (/.f64 x z) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8) (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) (-.f64 4 (*.f64 (*.f64 4 (/.f64 x z)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) -4) (fma.f64 4 (/.f64 x z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) -4) (-.f64 (*.f64 4 (/.f64 x z)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8)) (neg.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) (+.f64 4 (*.f64 (/.f64 x z) 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) -4)) (neg.f64 (fma.f64 4 (/.f64 x z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 4 (/.f64 x z) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (/.f64 x z) -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 4 (/.f64 x z) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 4 (/.f64 x z) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 4 (/.f64 x z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 4 (/.f64 x z) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 4 (/.f64 x z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 4 (/.f64 x z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 4 (/.f64 x z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (/.f64 x z) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x z) 4 -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 4 (/.f64 x z)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 2) (cbrt.f64 (*.f64 4 (/.f64 x z))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 (/.f64 x z))) (*.f64 2 (sqrt.f64 (/.f64 x z))) -2))))) |
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 2× | associate-/l*_binary64 |
| 1× | associate-*r/_binary64 |
| 1× | associate-*l/_binary64 |
| 1× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 24 |
| 1 | 10 | 24 |
| 2 | 14 | 24 |
| 3 | 18 | 24 |
| 4 | 19 | 24 |
| 1× | saturated |
| Inputs |
|---|
-2 |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
-2 |
-2 |
| Outputs |
|---|
-2 |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
-2 |
-2 |
Compiled 12122 to 6076 computations (49.9% saved)
13 alts after pruning (9 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 563 | 6 | 569 |
| Fresh | 3 | 3 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 3 | 4 |
| Total | 567 | 13 | 580 |
| Status | Error | Program |
|---|---|---|
| ✓ | 25.1b | (*.f64 4 (/.f64 (-.f64 x y) z)) |
| ▶ | 45.6b | (/.f64 (*.f64 -4 y) z) |
| ▶ | 25.1b | (*.f64 4 (-.f64 (/.f64 x z) (/.f64 y z))) |
| ✓ | 42.6b | (*.f64 4 (/.f64 x z)) |
| 37.7b | -2 | |
| 42.7b | (/.f64 4 (/.f64 z x)) | |
| ✓ | 45.6b | (/.f64 -4 (/.f64 z y)) |
| ▶ | 17.8b | (fma.f64 x (/.f64 4 z) -2) |
| ✓ | 17.7b | (-.f64 (*.f64 4 (/.f64 x z)) 2) |
| 20.9b | (-.f64 (/.f64 y (/.f64 z -4)) 2) | |
| ▶ | 0.1b | (-.f64 (+.f64 (/.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x z))) 2) |
| 0.1b | (-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (/.f64 4 (/.f64 z x))) 2) | |
| ▶ | 45.6b | (*.f64 (/.f64 -4 z) y) |
Compiled 214 to 161 computations (24.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (+.f64 (/.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x z))) 2) |
| 0.0b | (*.f64 4 (/.f64 x z)) | |
| ✓ | 0.0b | (+.f64 (/.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x z))) |
| 0.7b | (/.f64 -4 (/.f64 z y)) |
Compiled 49 to 24 computations (51% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (+.f64 (/.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x z))) |
| 0.0ms | z | @ | -inf | (+.f64 (/.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x z))) |
| 0.0ms | z | @ | 0 | (-.f64 (+.f64 (/.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x z))) 2) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 (/.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x z))) 2) |
| 0.0ms | y | @ | -inf | (-.f64 (+.f64 (/.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x z))) 2) |
| 1× | batch-egg-rewrite |
| 722× | log-prod_binary64 |
| 539× | fma-def_binary64 |
| 316× | fma-neg_binary64 |
| 268× | expm1-udef_binary64 |
| 268× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 35 |
| 1 | 303 | 29 |
| 2 | 4311 | 29 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x z))) |
(-.f64 (+.f64 (/.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x z))) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 4 (/.f64 x z) (*.f64 y (/.f64 -4 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y (/.f64 -4 z)) 2) (fma.f64 -4 (/.f64 y z) (*.f64 -4 (/.f64 x z)))) (/.f64 (*.f64 16 (pow.f64 (/.f64 x z) 2)) (fma.f64 -4 (/.f64 y z) (*.f64 -4 (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (/.f64 x z) (*.f64 y (/.f64 -4 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 4 (/.f64 x z) (*.f64 y (/.f64 -4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) (*.f64 y (/.f64 -4 z)))) (cbrt.f64 (pow.f64 (fma.f64 4 (/.f64 x z) (*.f64 y (/.f64 -4 z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 4 (/.f64 x z) (*.f64 y (/.f64 -4 z))) 2)) (cbrt.f64 (fma.f64 4 (/.f64 x z) (*.f64 y (/.f64 -4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 4 (/.f64 x z) (*.f64 y (/.f64 -4 z)))) (sqrt.f64 (fma.f64 4 (/.f64 x z) (*.f64 y (/.f64 -4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -64 (pow.f64 (/.f64 y z) 3) (*.f64 (pow.f64 (/.f64 x z) 3) 64)) (/.f64 1 (fma.f64 (*.f64 4 (/.f64 x z)) (fma.f64 4 (/.f64 x z) (neg.f64 (*.f64 y (/.f64 -4 z)))) (pow.f64 (*.f64 y (/.f64 -4 z)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 -4 z)) 2) (*.f64 16 (pow.f64 (/.f64 x z) 2))) (/.f64 1 (fma.f64 -4 (/.f64 y z) (*.f64 -4 (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 4 (/.f64 x z)) (fma.f64 4 (/.f64 x z) (neg.f64 (*.f64 y (/.f64 -4 z)))) (pow.f64 (*.f64 y (/.f64 -4 z)) 2)) (fma.f64 -64 (pow.f64 (/.f64 y z) 3) (*.f64 (pow.f64 (/.f64 x z) 3) 64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -4 (/.f64 y z) (*.f64 -4 (/.f64 x z))) (-.f64 (pow.f64 (*.f64 y (/.f64 -4 z)) 2) (*.f64 16 (pow.f64 (/.f64 x z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -64 (pow.f64 (/.f64 y z) 3) (*.f64 (pow.f64 (/.f64 x z) 3) 64)) (fma.f64 (*.f64 4 (/.f64 x z)) (fma.f64 4 (/.f64 x z) (neg.f64 (*.f64 y (/.f64 -4 z)))) (pow.f64 (*.f64 y (/.f64 -4 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -64 (pow.f64 (/.f64 y z) 3) (*.f64 (pow.f64 (/.f64 x z) 3) 64)) (fma.f64 16 (pow.f64 (/.f64 x z) 2) (-.f64 (pow.f64 (*.f64 y (/.f64 -4 z)) 2) (*.f64 -4 (*.f64 (/.f64 y z) (*.f64 4 (/.f64 x z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 -4 z)) 2) (*.f64 16 (pow.f64 (/.f64 x z) 2))) (fma.f64 -4 (/.f64 y z) (*.f64 -4 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -64 (pow.f64 (/.f64 y z) 3) (*.f64 (pow.f64 (/.f64 x z) 3) 64))) (neg.f64 (fma.f64 (*.f64 4 (/.f64 x z)) (fma.f64 4 (/.f64 x z) (neg.f64 (*.f64 y (/.f64 -4 z)))) (pow.f64 (*.f64 y (/.f64 -4 z)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 -4 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z)) (fma.f64 y (/.f64 -4 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 4 (/.f64 x z) (*.f64 y (/.f64 -4 z))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 4 (/.f64 x z) -2) (*.f64 y (/.f64 -4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) (*.f64 y (/.f64 -4 z)))) (cbrt.f64 (pow.f64 (fma.f64 4 (/.f64 x z) (*.f64 y (/.f64 -4 z))) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 4 (/.f64 x z) (*.f64 y (/.f64 -4 z))) 2)) (cbrt.f64 (fma.f64 4 (/.f64 x z) (*.f64 y (/.f64 -4 z)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (*.f64 (cbrt.f64 (/.f64 x z)) 4) (fma.f64 y (/.f64 -4 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y (/.f64 -4 z))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 -4 z))) 2) (fma.f64 4 (/.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y (/.f64 -4 z))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 -4 z))) 2) (*.f64 (fma.f64 4 (/.f64 x z) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 -4 z))) 2) (cbrt.f64 (*.f64 y (/.f64 -4 z))) (fma.f64 4 (/.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 -4 z))) 2) (cbrt.f64 (*.f64 y (/.f64 -4 z))) (*.f64 (fma.f64 4 (/.f64 x z) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 2) (fma.f64 y (/.f64 -4 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 2) (cbrt.f64 (*.f64 4 (/.f64 x z))) (fma.f64 y (/.f64 -4 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 4 (/.f64 x z) (*.f64 y (/.f64 -4 z)))) (sqrt.f64 (fma.f64 4 (/.f64 x z) (*.f64 y (/.f64 -4 z)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 (/.f64 x z)) 4) (fma.f64 y (/.f64 -4 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (/.f64 -4 z))) (sqrt.f64 (*.f64 y (/.f64 -4 z))) (fma.f64 4 (/.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (/.f64 -4 z))) (sqrt.f64 (*.f64 y (/.f64 -4 z))) (*.f64 (fma.f64 4 (/.f64 x z) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 (/.f64 x z))) (*.f64 2 (sqrt.f64 (/.f64 x z))) (fma.f64 y (/.f64 -4 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -64 (pow.f64 (/.f64 y z) 3) (*.f64 (pow.f64 (/.f64 x z) 3) 64)) (/.f64 1 (fma.f64 (*.f64 4 (/.f64 x z)) (fma.f64 4 (/.f64 x z) (neg.f64 (*.f64 y (/.f64 -4 z)))) (pow.f64 (*.f64 y (/.f64 -4 z)) 2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y z) -4 (fma.f64 4 (/.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y z) -4 (*.f64 (fma.f64 4 (/.f64 x z) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 -4 z)) 2) (*.f64 16 (pow.f64 (/.f64 x z) 2))) (/.f64 1 (fma.f64 -4 (/.f64 y z) (*.f64 -4 (/.f64 x z)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -4 z) y (fma.f64 4 (/.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -4 z) y (*.f64 (fma.f64 4 (/.f64 x z) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 x) (/.f64 1 z) (fma.f64 y (/.f64 -4 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)) (cbrt.f64 (fma.f64 4 (/.f64 x z) -2))) (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)) (*.f64 y (/.f64 -4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 4 (/.f64 x z) -2)) (sqrt.f64 (fma.f64 4 (/.f64 x z) -2)) (*.f64 y (/.f64 -4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (/.f64 x (cbrt.f64 z)) (fma.f64 y (/.f64 -4 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 4 (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)) (fma.f64 y (/.f64 -4 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -4 (neg.f64 z)) (neg.f64 y) (fma.f64 4 (/.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -4 (neg.f64 z)) (neg.f64 y) (*.f64 (fma.f64 4 (/.f64 x z) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -4 z) 1) y (fma.f64 4 (/.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -4 z) 1) y (*.f64 (fma.f64 4 (/.f64 x z) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -4 z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (fma.f64 4 (/.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -4 z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (*.f64 (fma.f64 4 (/.f64 x z) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -4 z) (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 4 (/.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -4 z) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (fma.f64 4 (/.f64 x z) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (cbrt.f64 (/.f64 x z)) (fma.f64 y (/.f64 -4 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)) (fma.f64 y (/.f64 -4 z) -2)))))) |
| 1× | egg-herbie |
| 843× | fma-neg_binary64 |
| 677× | fma-def_binary64 |
| 248× | cancel-sign-sub-inv_binary64 |
| 92× | distribute-rgt-neg-in_binary64 |
| 84× | sub-neg_binary64 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 888 |
| 1 | 54 | 834 |
| 2 | 97 | 834 |
| 3 | 140 | 834 |
| 4 | 237 | 749 |
| 5 | 427 | 749 |
| 6 | 999 | 695 |
| 7 | 2152 | 695 |
| 8 | 3037 | 695 |
| 9 | 3235 | 695 |
| 10 | 3292 | 695 |
| 11 | 3337 | 695 |
| 12 | 3337 | 695 |
| 13 | 3337 | 695 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 y z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 y z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 y z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
-2 |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
-2 |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) 2) |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) 2) |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(*.f64 -4 (/.f64 y z)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(*.f64 -4 (/.f64 y z)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (*.f64 -4 (/.f64 y z)) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(*.f64 4 (/.f64 x z)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(*.f64 4 (/.f64 x z)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 y (/.f64 -4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
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(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 (/.f64 4 z) x (fma.f64 -4 (/.f64 y z) -2)) |
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) |
(+.f64 (*.f64 (/.f64 -4 z) (-.f64 y x)) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 (/.f64 4 z) x (fma.f64 -4 (/.f64 y z) -2)) |
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) |
(+.f64 (*.f64 (/.f64 -4 z) (-.f64 y x)) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (/.f64 -4 z) y) |
Compiled 14 to 9 computations (35.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | inf | (*.f64 (/.f64 -4 z) y) |
| 0.0ms | z | @ | 0 | (*.f64 (/.f64 -4 z) y) |
| 0.0ms | z | @ | -inf | (*.f64 (/.f64 -4 z) y) |
| 0.0ms | y | @ | -inf | (*.f64 (/.f64 -4 z) y) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 -4 z) y) |
| 1× | batch-egg-rewrite |
| 616× | pow1_binary64 |
| 574× | add-log-exp_binary64 |
| 574× | log1p-expm1-u_binary64 |
| 574× | expm1-log1p-u_binary64 |
| 563× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 128 | 7 |
| 2 | 1562 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 -4 z) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (*.f64 z -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 -4 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -4 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4 y) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4 y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 y) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 4) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -4 (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -4 (/.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 -4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -4 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -4 (/.f64 y z)))))))) |
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 2× | associate-/l*_binary64 |
| 1× | associate-*r/_binary64 |
| 1× | associate-*l/_binary64 |
| 1× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 168 |
| 1 | 9 | 168 |
| 2 | 13 | 168 |
| 3 | 17 | 168 |
| 4 | 18 | 168 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
| Outputs |
|---|
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
Compiled 14 to 9 computations (35.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 4 (-.f64 (/.f64 x z) (/.f64 y z))) |
| ✓ | 0.0b | (-.f64 (/.f64 x z) (/.f64 y z)) |
Compiled 29 to 9 computations (69% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 4 (-.f64 (/.f64 x z) (/.f64 y z))) |
| 1.0ms | z | @ | -inf | (-.f64 (/.f64 x z) (/.f64 y z)) |
| 1.0ms | z | @ | -inf | (*.f64 4 (-.f64 (/.f64 x z) (/.f64 y z))) |
| 0.0ms | x | @ | 0 | (-.f64 (/.f64 x z) (/.f64 y z)) |
| 0.0ms | z | @ | inf | (*.f64 4 (-.f64 (/.f64 x z) (/.f64 y z))) |
| 1× | batch-egg-rewrite |
| 552× | log-prod_binary64 |
| 384× | pow-prod-down_binary64 |
| 363× | fma-def_binary64 |
| 286× | pow2_binary64 |
| 212× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 207 | 17 |
| 2 | 3177 | 17 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 x z) (/.f64 y z)) |
(*.f64 4 (-.f64 (/.f64 x z) (/.f64 y z))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x z) (/.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x z) (*.f64 (/.f64 (neg.f64 y) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x y) z) (fma.f64 (neg.f64 (/.f64 1 z)) y (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x y) z) (fma.f64 (/.f64 (neg.f64 y) z) 1 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x y) z) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y z))) (pow.f64 (cbrt.f64 (/.f64 y z)) 2) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x y) z) (+.f64 (/.f64 (neg.f64 y) z) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 y) z) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2)) (cbrt.f64 (/.f64 (-.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) (sqrt.f64 (/.f64 (-.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x z) (*.f64 z y)) (pow.f64 z -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 y z) 3)) (/.f64 1 (fma.f64 (/.f64 y z) (+.f64 (/.f64 x z) (/.f64 y z)) (pow.f64 (/.f64 x z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (pow.f64 (/.f64 y z) 2)) (/.f64 1 (+.f64 (/.f64 x z) (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 y z))) (-.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 z z) (-.f64 (*.f64 x z) (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 x z) (/.f64 y z)) (pow.f64 (/.f64 x z) 2)) (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 y z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 x z) (/.f64 y z)) (-.f64 (pow.f64 (/.f64 x z) 2) (pow.f64 (/.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x z) (*.f64 z y)) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x y) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 y z) 3)) (fma.f64 (/.f64 y z) (+.f64 (/.f64 x z) (/.f64 y z)) (pow.f64 (/.f64 x z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (pow.f64 (/.f64 y z) 2)) (+.f64 (/.f64 x z) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x z) (*.f64 z y))) (neg.f64 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 x y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 y z) 3))) (neg.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 x z) (/.f64 y z)) (pow.f64 (/.f64 x z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (pow.f64 (/.f64 y z) 2))) (neg.f64 (+.f64 (/.f64 x z) (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 z (*.f64 (/.f64 z x) y)) (*.f64 (/.f64 z x) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (neg.f64 x) z) (*.f64 (neg.f64 z) y)) (*.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (/.f64 z y) (neg.f64 z)) (*.f64 z (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 z y) (*.f64 (/.f64 z x) 1)) (*.f64 (/.f64 z x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (neg.f64 (*.f64 (neg.f64 z) 1))) (*.f64 (neg.f64 z) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x (neg.f64 z)) (*.f64 z (neg.f64 y))) (*.f64 z (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 z) (*.f64 (/.f64 z x) (neg.f64 y))) (*.f64 (/.f64 z x) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 z)) (*.f64 (neg.f64 z) (neg.f64 y))) (pow.f64 (neg.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 x) (neg.f64 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 (neg.f64 y) z) 3)) (+.f64 (pow.f64 (/.f64 x z) 2) (-.f64 (pow.f64 (/.f64 (neg.f64 y) z) 2) (*.f64 (/.f64 x z) (/.f64 (neg.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (pow.f64 (/.f64 (neg.f64 y) z) 2)) (-.f64 (/.f64 x z) (/.f64 (neg.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 x z) (*.f64 z y)) z) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x y) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x z) (*.f64 z y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (-.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 x z) (/.f64 y z)) (pow.f64 (/.f64 x z) 2)) (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 y z) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 x z) (/.f64 y z)) (-.f64 (pow.f64 (/.f64 x z) 2) (pow.f64 (/.f64 y z) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (-.f64 x y) z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x z) 4) (*.f64 (/.f64 (neg.f64 y) z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (/.f64 x z)) (*.f64 4 (/.f64 (neg.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (/.f64 (-.f64 x y) z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (/.f64 (-.f64 x y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (/.f64 (-.f64 x y) z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (/.f64 (-.f64 x y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) z) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x z) (*.f64 z y)) 4) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x y) 4) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 y z) 3)) 4) (fma.f64 (/.f64 y z) (+.f64 (/.f64 x z) (/.f64 y z)) (pow.f64 (/.f64 x z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (pow.f64 (/.f64 y z) 2)) 4) (+.f64 (/.f64 x z) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 (*.f64 x z) (*.f64 z y))) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 x y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 y z) 3))) (fma.f64 (/.f64 y z) (+.f64 (/.f64 x z) (/.f64 y z)) (pow.f64 (/.f64 x z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 (pow.f64 (/.f64 x z) 2) (pow.f64 (/.f64 y z) 2))) (+.f64 (/.f64 x z) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 16 (pow.f64 (/.f64 (-.f64 x y) z) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x y) z) 4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x y) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16 (pow.f64 (/.f64 (-.f64 x y) z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (/.f64 (-.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 x y) z) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 x y) z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 x y) z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 x y) z) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 (-.f64 x y) z) 4))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x y) z) 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x y) z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 (neg.f64 y) z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (/.f64 x z) (*.f64 4 (/.f64 (neg.f64 y) z))))))) |
| 1× | egg-herbie |
| 559× | fma-def_binary64 |
| 275× | fma-neg_binary64 |
| 161× | distribute-rgt-in_binary64 |
| 119× | distribute-lft-in_binary64 |
| 115× | unsub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 822 |
| 1 | 64 | 702 |
| 2 | 139 | 702 |
| 3 | 321 | 582 |
| 4 | 819 | 582 |
| 5 | 1952 | 582 |
| 6 | 2648 | 582 |
| 7 | 2732 | 582 |
| 8 | 2789 | 582 |
| 9 | 2812 | 582 |
| 10 | 2812 | 582 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1 (/.f64 y z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(/.f64 x z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(/.f64 x z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(/.f64 (-.f64 x y) z) |
(/.f64 (-.f64 x y) z) |
(/.f64 (-.f64 x y) z) |
(/.f64 (-.f64 x y) z) |
(/.f64 (-.f64 x y) z) |
(/.f64 (-.f64 x y) z) |
(/.f64 (-.f64 x y) z) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 y)) z)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 y)) z)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 y)) z)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 y)) z)) |
(/.f64 x z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(*.f64 -1 (/.f64 y z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(*.f64 -1 (/.f64 y z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(*.f64 -4 (/.f64 y z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 y)) z)) |
(*.f64 -4 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 y)) z)) |
(*.f64 -4 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 y)) z)) |
(*.f64 -4 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 y)) z)) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 y z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 y z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 y z)) |
(/.f64 (neg.f64 y) z) |
(neg.f64 (/.f64 y z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(/.f64 x z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(/.f64 x z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(/.f64 (-.f64 x y) z) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 y)) z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 y)) z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 y)) z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 y)) z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(/.f64 x z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(*.f64 -1 (/.f64 y z)) |
(/.f64 (neg.f64 y) z) |
(neg.f64 (/.f64 y z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(*.f64 -1 (/.f64 y z)) |
(/.f64 (neg.f64 y) z) |
(neg.f64 (/.f64 y z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y z) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 (/.f64 y z) -4) |
(/.f64 (*.f64 y -4) z) |
(*.f64 y (/.f64 -4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 (-.f64 y x) (/.f64 -4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 (-.f64 y x) (/.f64 -4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 (-.f64 y x) (/.f64 -4 z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 (/.f64 x z) 4) |
(/.f64 x (/.f64 z 4)) |
(*.f64 x (/.f64 4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 (-.f64 y x) (/.f64 -4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 (-.f64 y x) (/.f64 -4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 (-.f64 y x) (/.f64 -4 z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 (/.f64 x z) 4) |
(/.f64 x (/.f64 z 4)) |
(*.f64 x (/.f64 4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 (-.f64 y x) (/.f64 -4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 (-.f64 y x) (/.f64 -4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 (-.f64 y x) (/.f64 -4 z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 (-.f64 y x) (/.f64 -4 z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 (-.f64 y x) (/.f64 -4 z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 (-.f64 y x) (/.f64 -4 z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 (-.f64 y x) (/.f64 -4 z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 (-.f64 y x) (/.f64 -4 z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 (-.f64 y x) (/.f64 -4 z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 (-.f64 y x) (/.f64 -4 z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 (-.f64 y x) (/.f64 -4 z)) |
(*.f64 -4 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 y)) z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 (-.f64 y x) (/.f64 -4 z)) |
(*.f64 -4 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 y)) z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 (-.f64 y x) (/.f64 -4 z)) |
(*.f64 -4 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 y)) z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 (-.f64 y x) (/.f64 -4 z)) |
(*.f64 -4 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 y)) z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 (-.f64 y x) (/.f64 -4 z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 (/.f64 x z) 4) |
(/.f64 x (/.f64 z 4)) |
(*.f64 x (/.f64 4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 (-.f64 y x) (/.f64 -4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 (-.f64 y x) (/.f64 -4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 (-.f64 y x) (/.f64 -4 z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 (/.f64 y z) -4) |
(/.f64 (*.f64 y -4) z) |
(*.f64 y (/.f64 -4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 (-.f64 y x) (/.f64 -4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 (-.f64 y x) (/.f64 -4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 (-.f64 y x) (/.f64 -4 z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 (/.f64 y z) -4) |
(/.f64 (*.f64 y -4) z) |
(*.f64 y (/.f64 -4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 (-.f64 y x) (/.f64 -4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 (-.f64 y x) (/.f64 -4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4)) |
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 (-.f64 y x) (/.f64 -4 z)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 x (/.f64 4 z) -2) |
Compiled 16 to 11 computations (31.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (fma.f64 x (/.f64 4 z) -2) |
| 0.0ms | x | @ | -inf | (fma.f64 x (/.f64 4 z) -2) |
| 0.0ms | x | @ | inf | (fma.f64 x (/.f64 4 z) -2) |
| 0.0ms | z | @ | 0 | (fma.f64 x (/.f64 4 z) -2) |
| 0.0ms | z | @ | -inf | (fma.f64 x (/.f64 4 z) -2) |
| 1× | batch-egg-rewrite |
| 665× | pow1_binary64 |
| 620× | add-log-exp_binary64 |
| 620× | log1p-expm1-u_binary64 |
| 620× | expm1-log1p-u_binary64 |
| 608× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 8 |
| 1 | 148 | 8 |
| 2 | 1682 | 8 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 x (/.f64 4 z) -2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (*.f64 x (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 4 z)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (/.f64 4 z)) 1) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (/.f64 4 z) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (/.f64 4 z) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (/.f64 4 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (/.f64 4 z) -2)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 4 z) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 4 z) -2)) 2) (cbrt.f64 (fma.f64 x (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (/.f64 4 z) -2)) (sqrt.f64 (fma.f64 x (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 4 z)) 3) -8) (+.f64 (*.f64 (*.f64 x (/.f64 4 z)) (*.f64 x (/.f64 4 z))) (-.f64 4 (*.f64 (*.f64 x (/.f64 4 z)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (/.f64 4 z)) (*.f64 x (/.f64 4 z))) 4) (-.f64 (*.f64 x (/.f64 4 z)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (/.f64 4 z) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (/.f64 4 z) -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (/.f64 4 z) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (/.f64 4 z) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (/.f64 4 z) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (/.f64 4 z) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (/.f64 4 z) -2))))))) |
| 1× | egg-herbie |
| 4× | fma-neg_binary64 |
| 3× | *-commutative_binary64 |
| 2× | associate-/l*_binary64 |
| 1× | +-commutative_binary64 |
| 1× | associate-*r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 168 |
| 1 | 15 | 168 |
| 2 | 21 | 168 |
| 3 | 25 | 168 |
| 4 | 27 | 168 |
| 5 | 28 | 168 |
| 1× | saturated |
| Inputs |
|---|
-2 |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(*.f64 4 (/.f64 x z)) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(*.f64 4 (/.f64 x z)) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(*.f64 4 (/.f64 x z)) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
-2 |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
-2 |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
| Outputs |
|---|
-2 |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 x (/.f64 4 z) -2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 x (/.f64 4 z) -2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 x (/.f64 4 z) -2) |
(*.f64 4 (/.f64 x z)) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 x (/.f64 4 z) -2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 x (/.f64 4 z) -2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 x (/.f64 4 z) -2) |
(*.f64 4 (/.f64 x z)) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 x (/.f64 4 z) -2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 x (/.f64 4 z) -2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 x (/.f64 4 z) -2) |
(*.f64 4 (/.f64 x z)) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 x (/.f64 4 z) -2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 x (/.f64 4 z) -2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 x (/.f64 4 z) -2) |
-2 |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 x (/.f64 4 z) -2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 x (/.f64 4 z) -2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 x (/.f64 4 z) -2) |
-2 |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 x (/.f64 4 z) -2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 x (/.f64 4 z) -2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 x (/.f64 4 z) -2) |
Compiled 8099 to 4152 computations (48.7% saved)
12 alts after pruning (5 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 482 | 3 | 485 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 7 | 8 |
| Total | 486 | 12 | 498 |
| Status | Error | Program |
|---|---|---|
| ✓ | 25.1b | (*.f64 4 (/.f64 (-.f64 x y) z)) |
| ✓ | 45.6b | (/.f64 (*.f64 -4 y) z) |
| ✓ | 25.1b | (*.f64 4 (-.f64 (/.f64 x z) (/.f64 y z))) |
| ✓ | 42.6b | (*.f64 4 (/.f64 x z)) |
| ✓ | 45.6b | (/.f64 -4 (/.f64 z y)) |
| ✓ | 17.7b | (-.f64 (*.f64 4 (/.f64 x z)) 2) |
| ▶ | 20.9b | (-.f64 (/.f64 y (/.f64 z -4)) 2) |
| ▶ | 0.1b | (-.f64 (+.f64 (/.f64 -4 (/.f64 z y)) (/.f64 4 (/.f64 z x))) 2) |
| 37.7b | -2 | |
| ▶ | 42.7b | (/.f64 4 (/.f64 z x)) |
| ✓ | 45.6b | (*.f64 (/.f64 -4 z) y) |
| ▶ | 28.0b | (/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 4 z)) (*.f64 x (/.f64 4 z))) 4) (-.f64 (*.f64 x (/.f64 4 z)) -2)) |
Compiled 126 to 95 computations (24.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (+.f64 (/.f64 -4 (/.f64 z y)) (/.f64 4 (/.f64 z x))) 2) |
| ✓ | 0.0b | (+.f64 (/.f64 -4 (/.f64 z y)) (/.f64 4 (/.f64 z x))) |
| ✓ | 0.4b | (/.f64 4 (/.f64 z x)) |
| 0.7b | (/.f64 -4 (/.f64 z y)) |
Compiled 49 to 24 computations (51% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | (+.f64 (/.f64 -4 (/.f64 z y)) (/.f64 4 (/.f64 z x))) |
| 1.0ms | z | @ | 0 | (/.f64 4 (/.f64 z x)) |
| 1.0ms | x | @ | 0 | (+.f64 (/.f64 -4 (/.f64 z y)) (/.f64 4 (/.f64 z x))) |
| 0.0ms | x | @ | -inf | (+.f64 (/.f64 -4 (/.f64 z y)) (/.f64 4 (/.f64 z x))) |
| 0.0ms | z | @ | 0 | (-.f64 (+.f64 (/.f64 -4 (/.f64 z y)) (/.f64 4 (/.f64 z x))) 2) |
| 1× | batch-egg-rewrite |
| 765× | log-prod_binary64 |
| 628× | fma-def_binary64 |
| 361× | fma-neg_binary64 |
| 360× | log-div_binary64 |
| 280× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 42 |
| 1 | 314 | 36 |
| 2 | 4730 | 36 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 4 (/.f64 z x)) |
(+.f64 (/.f64 -4 (/.f64 z y)) (/.f64 4 (/.f64 z x))) |
(-.f64 (+.f64 (/.f64 -4 (/.f64 z y)) (/.f64 4 (/.f64 z x))) 2) |
| Outputs |
|---|
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(sqrt.f64 (fma.f64 x (/.f64 4 z) -2)) (*.f64 -4 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 4 z) 1) x (fma.f64 -4 (/.f64 y z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 4 z) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (fma.f64 -4 (/.f64 y z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 4 z) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 -4 (/.f64 y z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -4 z) 1) y (fma.f64 x (/.f64 4 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -4 z) 1) y (*.f64 (fma.f64 x (/.f64 4 z) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -4 z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (fma.f64 x (/.f64 4 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -4 z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 (fma.f64 x (/.f64 4 z) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -4 z) (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 x (/.f64 4 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -4 z) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (fma.f64 x (/.f64 4 z) -2) 1)))))) |
| 1× | egg-herbie |
| 843× | fma-neg_binary64 |
| 677× | fma-def_binary64 |
| 248× | cancel-sign-sub-inv_binary64 |
| 92× | distribute-rgt-neg-in_binary64 |
| 84× | sub-neg_binary64 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 1056 |
| 1 | 54 | 1002 |
| 2 | 97 | 1002 |
| 3 | 140 | 1002 |
| 4 | 236 | 917 |
| 5 | 426 | 917 |
| 6 | 1000 | 863 |
| 7 | 2153 | 863 |
| 8 | 3037 | 863 |
| 9 | 3235 | 863 |
| 10 | 3292 | 863 |
| 11 | 3337 | 863 |
| 12 | 3337 | 863 |
| 13 | 3337 | 863 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 y z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 y z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 y z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
-2 |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
-2 |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) 2) |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) 2) |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(*.f64 -4 (/.f64 y z)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(*.f64 -4 (/.f64 y z)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (*.f64 -4 (/.f64 y z)) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(*.f64 4 (/.f64 x z)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(*.f64 4 (/.f64 x z)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
| Outputs |
|---|
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 -4 (/.f64 z y)) |
(*.f64 (/.f64 -4 z) y) |
(*.f64 y (/.f64 -4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 -4 (/.f64 z y)) |
(*.f64 (/.f64 -4 z) y) |
(*.f64 y (/.f64 -4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 -4 (/.f64 z y)) |
(*.f64 (/.f64 -4 z) y) |
(*.f64 y (/.f64 -4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z) |
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z) |
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z) |
(/.f64 -4 (/.f64 z (-.f64 y x))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2)) |
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2)) |
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2)) |
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
-2 |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2)) |
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2)) |
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2)) |
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
-2 |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2)) |
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2)) |
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2)) |
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2)) |
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2)) |
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2)) |
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 -4 (/.f64 z y)) |
(*.f64 (/.f64 -4 z) y) |
(*.f64 y (/.f64 -4 z)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2)) |
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2)) |
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2)) |
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 -4 (/.f64 z y)) |
(*.f64 (/.f64 -4 z) y) |
(*.f64 y (/.f64 -4 z)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2)) |
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2)) |
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2)) |
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (*.f64 -4 (/.f64 y z)) 2) |
(fma.f64 -4 (/.f64 y z) -2) |
(fma.f64 y (/.f64 -4 z) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2)) |
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2)) |
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2)) |
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(*.f64 4 (/.f64 x z)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2)) |
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2)) |
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2)) |
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(*.f64 4 (/.f64 x z)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2)) |
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2)) |
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2)) |
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) |
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2) |
Compiled 22 to 15 computations (31.8% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.4b | (/.f64 4 (/.f64 z x)) |
Compiled 14 to 7 computations (50% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (*.f64 x (/.f64 4 z)) (*.f64 x (/.f64 4 z))) |
| ✓ | 0.2b | (*.f64 x (/.f64 4 z)) |
| ✓ | 10.9b | (/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 4 z)) (*.f64 x (/.f64 4 z))) 4) (-.f64 (*.f64 x (/.f64 4 z)) -2)) |
Compiled 67 to 46 computations (31.3% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 47.0ms | z | @ | inf | (*.f64 (*.f64 x (/.f64 4 z)) (*.f64 x (/.f64 4 z))) |
| 7.0ms | x | @ | 0 | (/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 4 z)) (*.f64 x (/.f64 4 z))) 4) (-.f64 (*.f64 x (/.f64 4 z)) -2)) |
| 2.0ms | z | @ | 0 | (/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 4 z)) (*.f64 x (/.f64 4 z))) 4) (-.f64 (*.f64 x (/.f64 4 z)) -2)) |
| 2.0ms | x | @ | inf | (/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 4 z)) (*.f64 x (/.f64 4 z))) 4) (-.f64 (*.f64 x (/.f64 4 z)) -2)) |
| 1.0ms | x | @ | 0 | (*.f64 (*.f64 x (/.f64 4 z)) (*.f64 x (/.f64 4 z))) |
| 1× | batch-egg-rewrite |
| 667× | log-prod_binary64 |
| 344× | fma-def_binary64 |
| 337× | pow2_binary64 |
| 326× | prod-diff_binary64 |
| 271× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 40 |
| 1 | 265 | 25 |
| 2 | 3766 | 25 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 4 z)) (*.f64 x (/.f64 4 z))) 4) (-.f64 (*.f64 x (/.f64 4 z)) -2)) |
(*.f64 x (/.f64 4 z)) |
(*.f64 (*.f64 x (/.f64 4 z)) (*.f64 x (/.f64 4 z))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 716× | associate-/l*_binary64 |
| 482× | sqr-pow_binary64 |
| 444× | associate-/r*_binary64 |
| 366× | unswap-sqr_binary64 |
| 357× | associate-/l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 648 |
| 1 | 31 | 648 |
| 2 | 61 | 648 |
| 3 | 164 | 648 |
| 4 | 801 | 648 |
| 5 | 4918 | 648 |
| 6 | 5678 | 648 |
| 7 | 5914 | 648 |
| 8 | 6128 | 648 |
| 9 | 6375 | 648 |
| 10 | 6712 | 648 |
| 11 | 7144 | 648 |
| 12 | 7703 | 648 |
| 1× | node limit |
| Inputs |
|---|
-2 |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(*.f64 4 (/.f64 x z)) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(*.f64 4 (/.f64 x z)) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(*.f64 4 (/.f64 x z)) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
-2 |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
-2 |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
| Outputs |
|---|
-2 |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 x (/.f64 4 z) -2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 x (/.f64 4 z) -2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 x (/.f64 4 z) -2) |
(*.f64 4 (/.f64 x z)) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 x (/.f64 4 z) -2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 x (/.f64 4 z) -2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 x (/.f64 4 z) -2) |
(*.f64 4 (/.f64 x z)) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 x (/.f64 4 z) -2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 x (/.f64 4 z) -2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 x (/.f64 4 z) -2) |
(*.f64 4 (/.f64 x z)) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 x (/.f64 4 z) -2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 x (/.f64 4 z) -2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 x (/.f64 4 z) -2) |
-2 |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 x (/.f64 4 z) -2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 x (/.f64 4 z) -2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 x (/.f64 4 z) -2) |
-2 |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 x (/.f64 4 z) -2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 x (/.f64 4 z) -2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 x (/.f64 4 z) -2) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z))) |
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z))) |
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16))) |
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z)))) |
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z)))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z))) |
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z))) |
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16))) |
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z)))) |
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z)))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z))) |
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z))) |
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16))) |
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z)))) |
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z)))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z))) |
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z))) |
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16))) |
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z)))) |
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z)))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z))) |
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z))) |
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16))) |
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z)))) |
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z)))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z))) |
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z))) |
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16))) |
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z)))) |
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z)))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z))) |
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z))) |
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16))) |
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z)))) |
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z)))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z))) |
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z))) |
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16))) |
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z)))) |
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z)))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z))) |
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z))) |
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16))) |
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z)))) |
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z)))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z))) |
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z))) |
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16))) |
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z)))) |
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z)))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z))) |
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z))) |
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16))) |
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z)))) |
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z)))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z))) |
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z))) |
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16))) |
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z)))) |
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z)))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z))) |
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z))) |
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16))) |
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z)))) |
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z)))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z))) |
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z))) |
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16))) |
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z)))) |
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z)))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z))) |
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z))) |
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16))) |
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z)))) |
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z)))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z))) |
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z))) |
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16))) |
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z)))) |
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z)))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z))) |
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z))) |
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16))) |
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z)))) |
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z)))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z))) |
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z))) |
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16))) |
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z)))) |
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z)))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z))) |
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z))) |
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16))) |
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z)))) |
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z)))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z))) |
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z))) |
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16))) |
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z)))) |
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z)))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z))) |
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z))) |
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16))) |
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z)))) |
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z)))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z))) |
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z))) |
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16))) |
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z)))) |
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z)))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z))) |
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z))) |
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16))) |
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z)))) |
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z)))) |
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) |
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z))) |
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z))) |
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16))) |
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z)))) |
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z)))) |
Compiled 18626 to 13451 computations (27.8% saved)
12 alts after pruning (1 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 599 | 0 | 599 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 10 | 10 |
| Total | 599 | 12 | 611 |
| Status | Error | Program |
|---|---|---|
| ✓ | 25.1b | (*.f64 4 (/.f64 (-.f64 x y) z)) |
| ✓ | 45.6b | (/.f64 (*.f64 -4 y) z) |
| ✓ | 25.1b | (*.f64 4 (-.f64 (/.f64 x z) (/.f64 y z))) |
| ✓ | 42.6b | (*.f64 4 (/.f64 x z)) |
| ✓ | 45.6b | (/.f64 -4 (/.f64 z y)) |
| ✓ | 17.7b | (-.f64 (*.f64 4 (/.f64 x z)) 2) |
| ✓ | 20.9b | (-.f64 (/.f64 y (/.f64 z -4)) 2) |
| ✓ | 0.1b | (-.f64 (+.f64 (/.f64 -4 (/.f64 z y)) (/.f64 4 (/.f64 z x))) 2) |
| 37.7b | -2 | |
| ✓ | 42.7b | (/.f64 4 (/.f64 z x)) |
| ✓ | 45.6b | (*.f64 (/.f64 -4 z) y) |
| ✓ | 28.0b | (/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 4 z)) (*.f64 x (/.f64 4 z))) 4) (-.f64 (*.f64 x (/.f64 4 z)) -2)) |
Compiled 126 to 95 computations (24.6% saved)
| Inputs |
|---|
-2 |
-2 |
(/.f64 4 (/.f64 z x)) |
(*.f64 (/.f64 -4 z) y) |
(/.f64 (*.f64 -4 y) z) |
(/.f64 -4 (/.f64 z y)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(-.f64 (/.f64 y (/.f64 z -4)) 2) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(-.f64 (*.f64 -4 (/.f64 y z)) 2) |
(*.f64 4 (-.f64 (/.f64 x z) (/.f64 y z))) |
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
(-.f64 (+.f64 (/.f64 -4 (/.f64 z y)) (/.f64 4 (/.f64 z x))) 2) |
(-.f64 (+.f64 (/.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (/.f64 4 (/.f64 z x))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 4 z)) (*.f64 x (/.f64 4 z))) 4) (-.f64 (*.f64 x (/.f64 4 z)) -2)) |
(fma.f64 x (/.f64 4 z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(*.f64 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) (sqrt.f64 z)) (/.f64 4 (sqrt.f64 z))) |
| Outputs |
|---|
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
7 calls:
| 19.0ms | (-.f64 x y) |
| 17.0ms | (/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
| 12.0ms | y |
| 12.0ms | (-.f64 x y) |
| 11.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | z |
| 0.0b | 1 | (/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
| 0.0b | 1 | (/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
| 0.0b | 1 | (-.f64 x y) |
| 0.0b | 1 | (-.f64 x y) |
Compiled 236 to 146 computations (38.1% saved)
| Inputs |
|---|
-2 |
-2 |
(/.f64 4 (/.f64 z x)) |
(*.f64 (/.f64 -4 z) y) |
(/.f64 (*.f64 -4 y) z) |
(/.f64 -4 (/.f64 z y)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(-.f64 (/.f64 y (/.f64 z -4)) 2) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(-.f64 (*.f64 -4 (/.f64 y z)) 2) |
(*.f64 4 (-.f64 (/.f64 x z) (/.f64 y z))) |
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
(-.f64 (+.f64 (/.f64 -4 (/.f64 z y)) (/.f64 4 (/.f64 z x))) 2) |
(-.f64 (+.f64 (/.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (/.f64 4 (/.f64 z x))) 2) |
| Outputs |
|---|
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
5 calls:
| 11.0ms | y |
| 10.0ms | z |
| 10.0ms | x |
| 9.0ms | (-.f64 x y) |
| 7.0ms | (/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | z |
| 0.0b | 1 | (/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
| 0.0b | 1 | (-.f64 x y) |
Compiled 154 to 94 computations (39% saved)
| Inputs |
|---|
-2 |
-2 |
(/.f64 4 (/.f64 z x)) |
(*.f64 (/.f64 -4 z) y) |
(/.f64 (*.f64 -4 y) z) |
(/.f64 -4 (/.f64 z y)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(-.f64 (/.f64 y (/.f64 z -4)) 2) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(-.f64 (*.f64 -4 (/.f64 y z)) 2) |
(*.f64 4 (-.f64 (/.f64 x z) (/.f64 y z))) |
| Outputs |
|---|
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(-.f64 (/.f64 y (/.f64 z -4)) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
5 calls:
| 45.0ms | (-.f64 x y) |
| 40.0ms | (-.f64 x y) |
| 36.0ms | z |
| 29.0ms | y |
| 24.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 6.1b | 3 | x |
| 9.4b | 3 | y |
| 8.2b | 5 | z |
| 8.9b | 5 | (-.f64 x y) |
| 8.9b | 5 | (-.f64 x y) |
Compiled 96 to 61 computations (36.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 56.0ms | 8.77624190708722e-59 | 1.347186011541319e-40 |
| 23.0ms | -1.710488097050756e-5 | -1.3185564880195186e-20 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
-2 |
-2 |
(/.f64 4 (/.f64 z x)) |
(*.f64 (/.f64 -4 z) y) |
(/.f64 (*.f64 -4 y) z) |
(/.f64 -4 (/.f64 z y)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(-.f64 (/.f64 y (/.f64 z -4)) 2) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
| Outputs |
|---|
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(-.f64 (/.f64 y (/.f64 z -4)) 2) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(-.f64 (/.f64 y (/.f64 z -4)) 2) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
5 calls:
| 81.0ms | y |
| 71.0ms | (-.f64 x y) |
| 36.0ms | x |
| 33.0ms | z |
| 31.0ms | (-.f64 x y) |
| Error | Segments | Branch |
|---|---|---|
| 9.0b | 5 | x |
| 15.1b | 9 | y |
| 9.3b | 5 | z |
| 10.8b | 5 | (-.f64 x y) |
| 10.8b | 5 | (-.f64 x y) |
Compiled 73 to 49 computations (32.9% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 97.0ms | 2.6290744850114445e+176 | 5.299459689597119e+177 |
| 264.0ms | 1.3735246554880112e+111 | 1.212821051861616e+119 |
| 22.0ms | 2.3230470579648984e-32 | 6.147932232048966e-31 |
| 20.0ms | -8.39949422083017e+81 | -5.669575365908686e+72 |
Compiled 372 to 287 computations (22.8% saved)
| Inputs |
|---|
-2 |
-2 |
(/.f64 4 (/.f64 z x)) |
(*.f64 (/.f64 -4 z) y) |
(/.f64 (*.f64 -4 y) z) |
(/.f64 -4 (/.f64 z y)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(-.f64 (/.f64 y (/.f64 z -4)) 2) |
| Outputs |
|---|
(*.f64 4 (/.f64 x z)) |
(-.f64 (/.f64 y (/.f64 z -4)) 2) |
(*.f64 4 (/.f64 x z)) |
3 calls:
| 102.0ms | z |
| 46.0ms | y |
| 16.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 12.5b | 3 | x |
| 18.1b | 5 | y |
| 16.9b | 7 | z |
Compiled 54 to 37 computations (31.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 58.0ms | 2.6290744850114445e+176 | 5.299459689597119e+177 |
| 153.0ms | -6.169501849984758e+101 | -3.421410129806923e+100 |
Compiled 300 to 239 computations (20.3% saved)
| Inputs |
|---|
-2 |
-2 |
(/.f64 4 (/.f64 z x)) |
(*.f64 (/.f64 -4 z) y) |
(/.f64 (*.f64 -4 y) z) |
(/.f64 -4 (/.f64 z y)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
| Outputs |
|---|
(*.f64 4 (/.f64 x z)) |
-2 |
(/.f64 (*.f64 -4 y) z) |
-2 |
(*.f64 4 (/.f64 x z)) |
-2 |
(*.f64 4 (/.f64 x z)) |
3 calls:
| 84.0ms | y |
| 62.0ms | x |
| 41.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 24.4b | 7 | x |
| 25.1b | 11 | y |
| 25.3b | 7 | z |
Compiled 47 to 32 computations (31.9% saved)
| 6× | binary-search |
| Time | Left | Right |
|---|---|---|
| 54.0ms | 2.6290744850114445e+176 | 5.299459689597119e+177 |
| 169.0ms | 2.367212110845431e+93 | 6.080104490688431e+93 |
| 39.0ms | 1.567025529019085e-30 | 5.409793501763992e-15 |
| 39.0ms | -7.985577611330924e-289 | -1.7125480159868036e-299 |
| 41.0ms | -9.93128714242249e-126 | -1.7473489358689601e-131 |
| 39.0ms | -8.39949422083017e+81 | -5.669575365908686e+72 |
Compiled 188 to 159 computations (15.4% saved)
| Inputs |
|---|
-2 |
-2 |
(/.f64 4 (/.f64 z x)) |
(*.f64 (/.f64 -4 z) y) |
(/.f64 (*.f64 -4 y) z) |
(/.f64 -4 (/.f64 z y)) |
| Outputs |
|---|
(/.f64 4 (/.f64 z x)) |
-2 |
(/.f64 (*.f64 -4 y) z) |
-2 |
(/.f64 4 (/.f64 z x)) |
-2 |
(/.f64 4 (/.f64 z x)) |
3 calls:
| 45.0ms | y |
| 44.0ms | x |
| 31.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 24.5b | 7 | x |
| 25.1b | 11 | y |
| 25.4b | 7 | z |
Compiled 37 to 26 computations (29.7% saved)
| 6× | binary-search |
| Time | Left | Right |
|---|---|---|
| 102.0ms | 2.6290744850114445e+176 | 5.299459689597119e+177 |
| 148.0ms | 2.367212110845431e+93 | 6.080104490688431e+93 |
| 35.0ms | 1.567025529019085e-30 | 5.409793501763992e-15 |
| 36.0ms | -7.985577611330924e-289 | -1.7125480159868036e-299 |
| 35.0ms | -9.93128714242249e-126 | -1.7473489358689601e-131 |
| 35.0ms | -8.39949422083017e+81 | -5.669575365908686e+72 |
Compiled 188 to 159 computations (15.4% saved)
| Inputs |
|---|
-2 |
-2 |
(/.f64 4 (/.f64 z x)) |
(*.f64 (/.f64 -4 z) y) |
| Outputs |
|---|
(/.f64 4 (/.f64 z x)) |
-2 |
(*.f64 (/.f64 -4 z) y) |
-2 |
(/.f64 4 (/.f64 z x)) |
-2 |
(/.f64 4 (/.f64 z x)) |
3 calls:
| 115.0ms | y |
| 102.0ms | z |
| 32.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 24.5b | 7 | x |
| 25.2b | 11 | y |
| 25.4b | 7 | z |
Compiled 27 to 20 computations (25.9% saved)
| 6× | binary-search |
| Time | Left | Right |
|---|---|---|
| 86.0ms | 2.6290744850114445e+176 | 5.299459689597119e+177 |
| 101.0ms | 2.367212110845431e+93 | 6.080104490688431e+93 |
| 21.0ms | 1.567025529019085e-30 | 5.409793501763992e-15 |
| 20.0ms | -7.985577611330924e-289 | -1.7125480159868036e-299 |
| 77.0ms | -9.93128714242249e-126 | -1.7473489358689601e-131 |
| 24.0ms | -8.39949422083017e+81 | -5.669575365908686e+72 |
Compiled 188 to 159 computations (15.4% saved)
| Inputs |
|---|
-2 |
-2 |
(/.f64 4 (/.f64 z x)) |
| Outputs |
|---|
(/.f64 4 (/.f64 z x)) |
-2 |
(/.f64 4 (/.f64 z x)) |
-2 |
(/.f64 4 (/.f64 z x)) |
3 calls:
| 28.0ms | y |
| 18.0ms | z |
| 17.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 26.3b | 5 | x |
| 32.1b | 9 | y |
| 26.9b | 5 | z |
Compiled 22 to 17 computations (22.7% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 89.0ms | 2.6290744850114445e+176 | 5.299459689597119e+177 |
| 99.0ms | 2.367212110845431e+93 | 6.080104490688431e+93 |
| 20.0ms | 1.567025529019085e-30 | 5.409793501763992e-15 |
| 21.0ms | -8.39949422083017e+81 | -5.669575365908686e+72 |
Compiled 188 to 159 computations (15.4% saved)
Total 0.0b remaining (0%)
Threshold costs 0.0b (0%)
| Inputs |
|---|
-2 |
-2 |
| Outputs |
|---|
-2 |
3 calls:
| 4.0ms | x |
| 4.0ms | y |
| 3.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 37.7b | 1 | x |
| 37.7b | 1 | y |
| 37.7b | 1 | z |
Compiled 17 to 14 computations (17.6% saved)
| 1× | egg-herbie |
| 10× | *-commutative_binary64 |
| 9× | +-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 436 |
| 1 | 98 | 436 |
| 2 | 117 | 436 |
| 3 | 123 | 436 |
| 4 | 126 | 436 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
(if (<=.f64 x -2524234893393741/147573952589676412928) (-.f64 (*.f64 4 (/.f64 x z)) 2) (if (<=.f64 x 4962008721063073/56539106072908298546665520023773392506479484700019806659891398441363832832) (-.f64 (/.f64 y (/.f64 z -4)) 2) (-.f64 (*.f64 4 (/.f64 x z)) 2))) |
(if (<=.f64 x -8399494220830170572555322166356465794997574474026415005603719176886233259101388800) (*.f64 4 (/.f64 (-.f64 x y) z)) (if (<=.f64 x 4243921348515545/182687704666362864775460604089535377456991567872) (-.f64 (/.f64 y (/.f64 z -4)) 2) (if (<=.f64 x 1399999999999999966247519647309918091704917595281131027047361231330195275007576181193266675584412126149674532864) (*.f64 4 (/.f64 (-.f64 x y) z)) (if (<=.f64 x 5199999999999999588843319156466825154444522912034214249300429384634063922757086772187585289995529671819952523145394445683281192578521308231244354504374473052050484179757898399744) (-.f64 (/.f64 y (/.f64 z -4)) 2) (*.f64 4 (/.f64 (-.f64 x y) z)))))) |
(if (<=.f64 x -599999999999999986229707959147201977068105631954490003677997584839196071308473946781956776688906928128) (*.f64 4 (/.f64 x z)) (if (<=.f64 x 5199999999999999588843319156466825154444522912034214249300429384634063922757086772187585289995529671819952523145394445683281192578521308231244354504374473052050484179757898399744) (-.f64 (/.f64 y (/.f64 z -4)) 2) (*.f64 4 (/.f64 x z)))) |
(if (<=.f64 x -8399494220830170572555322166356465794997574474026415005603719176886233259101388800) (*.f64 4 (/.f64 x z)) (if (<=.f64 x -7569087216706363/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856) -2 (if (<=.f64 x -8761973907348519/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024) (/.f64 (*.f64 -4 y) z) (if (<=.f64 x 8946134282815301/5708990770823839524233143877797980545530986496) -2 (if (<=.f64 x 2400000000000000104105512739086046575896703979884654348300257094406680350935234666259177013248) (*.f64 4 (/.f64 x z)) (if (<=.f64 x 5199999999999999588843319156466825154444522912034214249300429384634063922757086772187585289995529671819952523145394445683281192578521308231244354504374473052050484179757898399744) -2 (*.f64 4 (/.f64 x z)))))))) |
(if (<=.f64 x -8399494220830170572555322166356465794997574474026415005603719176886233259101388800) (/.f64 4 (/.f64 z x)) (if (<=.f64 x -7569087216706363/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856) -2 (if (<=.f64 x -8761973907348519/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024) (/.f64 (*.f64 -4 y) z) (if (<=.f64 x 8946134282815301/5708990770823839524233143877797980545530986496) -2 (if (<=.f64 x 2400000000000000104105512739086046575896703979884654348300257094406680350935234666259177013248) (/.f64 4 (/.f64 z x)) (if (<=.f64 x 5199999999999999588843319156466825154444522912034214249300429384634063922757086772187585289995529671819952523145394445683281192578521308231244354504374473052050484179757898399744) -2 (/.f64 4 (/.f64 z x)))))))) |
(if (<=.f64 x -8399494220830170572555322166356465794997574474026415005603719176886233259101388800) (/.f64 4 (/.f64 z x)) (if (<=.f64 x -7569087216706363/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856) -2 (if (<=.f64 x -8761973907348519/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024) (*.f64 (/.f64 -4 z) y) (if (<=.f64 x 8946134282815301/5708990770823839524233143877797980545530986496) -2 (if (<=.f64 x 2400000000000000104105512739086046575896703979884654348300257094406680350935234666259177013248) (/.f64 4 (/.f64 z x)) (if (<=.f64 x 5199999999999999588843319156466825154444522912034214249300429384634063922757086772187585289995529671819952523145394445683281192578521308231244354504374473052050484179757898399744) -2 (/.f64 4 (/.f64 z x)))))))) |
(if (<=.f64 x -8399494220830170572555322166356465794997574474026415005603719176886233259101388800) (/.f64 4 (/.f64 z x)) (if (<=.f64 x 8946134282815301/5708990770823839524233143877797980545530986496) -2 (if (<=.f64 x 2400000000000000104105512739086046575896703979884654348300257094406680350935234666259177013248) (/.f64 4 (/.f64 z x)) (if (<=.f64 x 5199999999999999588843319156466825154444522912034214249300429384634063922757086772187585289995529671819952523145394445683281192578521308231244354504374473052050484179757898399744) -2 (/.f64 4 (/.f64 z x)))))) |
-2 |
| Outputs |
|---|
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) -2) |
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
(/.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))) z) |
(if (<=.f64 x -2524234893393741/147573952589676412928) (-.f64 (*.f64 4 (/.f64 x z)) 2) (if (<=.f64 x 4962008721063073/56539106072908298546665520023773392506479484700019806659891398441363832832) (-.f64 (/.f64 y (/.f64 z -4)) 2) (-.f64 (*.f64 4 (/.f64 x z)) 2))) |
(if (<=.f64 x -2524234893393741/147573952589676412928) (+.f64 (*.f64 4 (/.f64 x z)) -2) (if (<=.f64 x 4962008721063073/56539106072908298546665520023773392506479484700019806659891398441363832832) (+.f64 (/.f64 y (/.f64 z -4)) -2) (+.f64 (*.f64 4 (/.f64 x z)) -2))) |
(if (<=.f64 x -8399494220830170572555322166356465794997574474026415005603719176886233259101388800) (*.f64 4 (/.f64 (-.f64 x y) z)) (if (<=.f64 x 4243921348515545/182687704666362864775460604089535377456991567872) (-.f64 (/.f64 y (/.f64 z -4)) 2) (if (<=.f64 x 1399999999999999966247519647309918091704917595281131027047361231330195275007576181193266675584412126149674532864) (*.f64 4 (/.f64 (-.f64 x y) z)) (if (<=.f64 x 5199999999999999588843319156466825154444522912034214249300429384634063922757086772187585289995529671819952523145394445683281192578521308231244354504374473052050484179757898399744) (-.f64 (/.f64 y (/.f64 z -4)) 2) (*.f64 4 (/.f64 (-.f64 x y) z)))))) |
(if (<=.f64 x -8399494220830170572555322166356465794997574474026415005603719176886233259101388800) (*.f64 4 (/.f64 (-.f64 x y) z)) (if (<=.f64 x 4243921348515545/182687704666362864775460604089535377456991567872) (+.f64 (/.f64 y (/.f64 z -4)) -2) (if (<=.f64 x 1399999999999999966247519647309918091704917595281131027047361231330195275007576181193266675584412126149674532864) (*.f64 4 (/.f64 (-.f64 x y) z)) (if (<=.f64 x 5199999999999999588843319156466825154444522912034214249300429384634063922757086772187585289995529671819952523145394445683281192578521308231244354504374473052050484179757898399744) (+.f64 (/.f64 y (/.f64 z -4)) -2) (*.f64 4 (/.f64 (-.f64 x y) z)))))) |
(if (<=.f64 x -599999999999999986229707959147201977068105631954490003677997584839196071308473946781956776688906928128) (*.f64 4 (/.f64 x z)) (if (<=.f64 x 5199999999999999588843319156466825154444522912034214249300429384634063922757086772187585289995529671819952523145394445683281192578521308231244354504374473052050484179757898399744) (-.f64 (/.f64 y (/.f64 z -4)) 2) (*.f64 4 (/.f64 x z)))) |
(if (<=.f64 x -599999999999999986229707959147201977068105631954490003677997584839196071308473946781956776688906928128) (*.f64 4 (/.f64 x z)) (if (<=.f64 x 5199999999999999588843319156466825154444522912034214249300429384634063922757086772187585289995529671819952523145394445683281192578521308231244354504374473052050484179757898399744) (+.f64 (/.f64 y (/.f64 z -4)) -2) (*.f64 4 (/.f64 x z)))) |
(if (<=.f64 x -8399494220830170572555322166356465794997574474026415005603719176886233259101388800) (*.f64 4 (/.f64 x z)) (if (<=.f64 x -7569087216706363/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856) -2 (if (<=.f64 x -8761973907348519/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024) (/.f64 (*.f64 -4 y) z) (if (<=.f64 x 8946134282815301/5708990770823839524233143877797980545530986496) -2 (if (<=.f64 x 2400000000000000104105512739086046575896703979884654348300257094406680350935234666259177013248) (*.f64 4 (/.f64 x z)) (if (<=.f64 x 5199999999999999588843319156466825154444522912034214249300429384634063922757086772187585289995529671819952523145394445683281192578521308231244354504374473052050484179757898399744) -2 (*.f64 4 (/.f64 x z)))))))) |
(if (<=.f64 x -8399494220830170572555322166356465794997574474026415005603719176886233259101388800) (/.f64 4 (/.f64 z x)) (if (<=.f64 x -7569087216706363/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856) -2 (if (<=.f64 x -8761973907348519/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024) (/.f64 (*.f64 -4 y) z) (if (<=.f64 x 8946134282815301/5708990770823839524233143877797980545530986496) -2 (if (<=.f64 x 2400000000000000104105512739086046575896703979884654348300257094406680350935234666259177013248) (/.f64 4 (/.f64 z x)) (if (<=.f64 x 5199999999999999588843319156466825154444522912034214249300429384634063922757086772187585289995529671819952523145394445683281192578521308231244354504374473052050484179757898399744) -2 (/.f64 4 (/.f64 z x)))))))) |
(if (<=.f64 x -8399494220830170572555322166356465794997574474026415005603719176886233259101388800) (/.f64 4 (/.f64 z x)) (if (<=.f64 x -7569087216706363/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856) -2 (if (<=.f64 x -8761973907348519/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024) (*.f64 (/.f64 -4 z) y) (if (<=.f64 x 8946134282815301/5708990770823839524233143877797980545530986496) -2 (if (<=.f64 x 2400000000000000104105512739086046575896703979884654348300257094406680350935234666259177013248) (/.f64 4 (/.f64 z x)) (if (<=.f64 x 5199999999999999588843319156466825154444522912034214249300429384634063922757086772187585289995529671819952523145394445683281192578521308231244354504374473052050484179757898399744) -2 (/.f64 4 (/.f64 z x)))))))) |
(if (<=.f64 x -8399494220830170572555322166356465794997574474026415005603719176886233259101388800) (/.f64 4 (/.f64 z x)) (if (<=.f64 x -7569087216706363/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856) -2 (if (<=.f64 x -8761973907348519/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024) (*.f64 y (/.f64 -4 z)) (if (<=.f64 x 8946134282815301/5708990770823839524233143877797980545530986496) -2 (if (<=.f64 x 2400000000000000104105512739086046575896703979884654348300257094406680350935234666259177013248) (/.f64 4 (/.f64 z x)) (if (<=.f64 x 5199999999999999588843319156466825154444522912034214249300429384634063922757086772187585289995529671819952523145394445683281192578521308231244354504374473052050484179757898399744) -2 (/.f64 4 (/.f64 z x)))))))) |
(if (<=.f64 x -8399494220830170572555322166356465794997574474026415005603719176886233259101388800) (/.f64 4 (/.f64 z x)) (if (<=.f64 x 8946134282815301/5708990770823839524233143877797980545530986496) -2 (if (<=.f64 x 2400000000000000104105512739086046575896703979884654348300257094406680350935234666259177013248) (/.f64 4 (/.f64 z x)) (if (<=.f64 x 5199999999999999588843319156466825154444522912034214249300429384634063922757086772187585289995529671819952523145394445683281192578521308231244354504374473052050484179757898399744) -2 (/.f64 4 (/.f64 z x)))))) |
-2 |
Compiled 334 to 227 computations (32% saved)
| 1× | egg-herbie |
| 925× | fma-neg_binary64 |
| 796× | fma-def_binary64 |
| 768× | times-frac_binary64 |
| 456× | cancel-sign-sub-inv_binary64 |
| 435× | associate-/l*_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 16 |
| 1 | 24 | 16 |
| 2 | 59 | 14 |
| 3 | 184 | 14 |
| 4 | 516 | 14 |
| 5 | 1668 | 11 |
| 6 | 6056 | 11 |
| 1× | node limit |
Compiled 262 to 187 computations (28.6% saved)
Compiled 307 to 194 computations (36.8% saved)
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