Time bar (total: 2.8s)
| 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 |
| 1.6% | 97.5% | 0.9% | 9 |
| 18.7% | 79.2% | 2.1% | 10 |
| 21.8% | 74.8% | 3.4% | 11 |
| 26.5% | 68.9% | 4.6% | 12 |
| 42.8% | 49.9% | 7.3% | 13 |
| 45.7% | 45% | 9.2% | 14 |
Compiled 13 to 8 computations (38.5% saved)
| 834.0ms | 8256× | body | 128 | valid |
| 124.0ms | 1156× | body | 128 | invalid |
Compiled 26 to 16 computations (38.5% saved)
| 2× | egg-herbie |
| 916× | fma-def_binary64 |
| 686× | div-sub_binary64 |
| 212× | fma-neg_binary64 |
| 171× | sub-neg_binary64 |
| 160× | distribute-frac-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 52 |
| 1 | 35 | 44 |
| 2 | 77 | 44 |
| 3 | 173 | 44 |
| 4 | 314 | 44 |
| 5 | 662 | 44 |
| 6 | 1319 | 44 |
| 7 | 2719 | 44 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
(/.f64 (+.f64 y (*.f64 x (-.f64 z y))) z) |
(/.f64 (+.f64 z (*.f64 y (-.f64 x z))) x) |
(/.f64 (+.f64 x (*.f64 z (-.f64 y x))) y) |
| Outputs |
|---|
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
(/.f64 (fma.f64 y (-.f64 z x) x) z) |
(/.f64 (+.f64 y (*.f64 x (-.f64 z y))) z) |
(/.f64 (fma.f64 x (-.f64 z y) y) z) |
(/.f64 (+.f64 z (*.f64 y (-.f64 x z))) x) |
(/.f64 (fma.f64 y (-.f64 x z) z) x) |
(/.f64 (+.f64 x (*.f64 z (-.f64 y x))) y) |
(/.f64 (fma.f64 z (-.f64 y x) x) y) |
Compiled 12 to 7 computations (41.7% saved)
| 1× | egg-herbie |
| 477× | fma-neg_binary64 |
| 388× | div-sub_binary64 |
| 368× | associate-/l*_binary64 |
| 319× | fma-def_binary64 |
| 304× | distribute-neg-frac_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 12 | 11 |
| 2 | 25 | 11 |
| 3 | 53 | 11 |
| 4 | 101 | 11 |
| 5 | 175 | 11 |
| 6 | 299 | 11 |
| 7 | 580 | 11 |
| 8 | 1635 | 11 |
| 9 | 4709 | 11 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| Outputs |
|---|
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
(/.f64 (fma.f64 y (-.f64 z x) x) z) |
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 |
|---|---|---|
| ▶ | 9.6b | (/.f64 (fma.f64 y (-.f64 z x) x) z) |
| 9.6b | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
Compiled 66 to 35 computations (47% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 y (-.f64 z x) x) |
| ✓ | 8.9b | (/.f64 (fma.f64 y (-.f64 z x) x) z) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (fma.f64 y (-.f64 z x) x) z) |
| 1.0ms | z | @ | 0 | (/.f64 (fma.f64 y (-.f64 z x) x) z) |
| 1.0ms | y | @ | 0 | (/.f64 (fma.f64 y (-.f64 z x) x) z) |
| 1.0ms | z | @ | -inf | (/.f64 (fma.f64 y (-.f64 z x) x) z) |
| 1.0ms | y | @ | inf | (/.f64 (fma.f64 y (-.f64 z x) x) z) |
| 1× | batch-egg-rewrite |
| 870× | log1p-expm1-u_binary64 |
| 870× | expm1-log1p-u_binary64 |
| 85× | add-sqr-sqrt_binary64 |
| 84× | *-un-lft-identity_binary64 |
| 84× | pow1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 1 | 156 | 19 |
| 2 | 2257 | 19 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (fma.f64 y (-.f64 z x) x) z) |
(fma.f64 y (-.f64 z x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (-.f64 z x) x) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 y (-.f64 z x) x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 2) (*.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) 2) (cbrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (*.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) (sqrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 y (-.f64 z x) x)) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (fma.f64 y (-.f64 z x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) 1) (/.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (fma.f64 y (-.f64 z x) x) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (fma.f64 y (-.f64 z x) x) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (fma.f64 y (-.f64 z x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 y (-.f64 z x) x) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 z x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (-.f64 z x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (-.f64 z x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (-.f64 z x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (-.f64 z x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 2) (cbrt.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (sqrt.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y (-.f64 z x)) (*.f64 y (-.f64 z x))) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (-.f64 z x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y (-.f64 z x)) (*.f64 y (-.f64 z x))) (*.f64 x x)) (-.f64 (*.f64 y (-.f64 z x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (-.f64 z x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (-.f64 z x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y (-.f64 z x) x)) 1)))))) |
| 1× | egg-herbie |
| 524× | div-sub_binary64 |
| 499× | fma-def_binary64 |
| 394× | times-frac_binary64 |
| 284× | fma-neg_binary64 |
| 137× | associate-/l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 753 |
| 1 | 84 | 726 |
| 2 | 195 | 672 |
| 3 | 483 | 618 |
| 4 | 1153 | 618 |
| 5 | 3470 | 618 |
| 6 | 4957 | 618 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x z) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(/.f64 (*.f64 y (-.f64 z x)) z) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 x z) y) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(/.f64 (-.f64 x (*.f64 y x)) z) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
y |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
y |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
y |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
x |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(*.f64 y (-.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(*.f64 -1 (*.f64 (-.f64 x z) y)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 x (*.f64 y x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(*.f64 y z) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(*.f64 y z) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(*.f64 y z) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(*.f64 (-.f64 1 y) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(*.f64 -1 (*.f64 (-.f64 y 1) x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
| Outputs |
|---|
(/.f64 x z) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (/.f64 x (/.f64 z (-.f64 1 y)))) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (/.f64 x (/.f64 z (-.f64 1 y)))) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (/.f64 x (/.f64 z (-.f64 1 y)))) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(/.f64 (*.f64 y (-.f64 z x)) z) |
(/.f64 y (/.f64 z (-.f64 z x))) |
(*.f64 (/.f64 y z) (-.f64 z x)) |
(*.f64 (-.f64 z x) (/.f64 y z)) |
(fma.f64 (/.f64 (neg.f64 y) z) x y) |
(fma.f64 x (/.f64 (neg.f64 y) z) y) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (/.f64 x (/.f64 z (-.f64 1 y)))) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (/.f64 x (/.f64 z (-.f64 1 y)))) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (/.f64 x (/.f64 z (-.f64 1 y)))) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 x z) y) z)) |
(/.f64 y (/.f64 z (-.f64 z x))) |
(*.f64 (/.f64 y z) (-.f64 z x)) |
(*.f64 (-.f64 z x) (/.f64 y z)) |
(fma.f64 (/.f64 (neg.f64 y) z) x y) |
(fma.f64 x (/.f64 (neg.f64 y) z) y) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (/.f64 x (/.f64 z (-.f64 1 y)))) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (/.f64 x (/.f64 z (-.f64 1 y)))) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (/.f64 x (/.f64 z (-.f64 1 y)))) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(/.f64 (-.f64 x (*.f64 y x)) z) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(/.f64 x (/.f64 z (-.f64 1 y))) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(*.f64 (/.f64 x z) (-.f64 1 y)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (/.f64 x (/.f64 z (-.f64 1 y)))) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (/.f64 x (/.f64 z (-.f64 1 y)))) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (/.f64 x (/.f64 z (-.f64 1 y)))) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
y |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (/.f64 x (/.f64 z (-.f64 1 y)))) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (/.f64 x (/.f64 z (-.f64 1 y)))) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (/.f64 x (/.f64 z (-.f64 1 y)))) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
y |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (/.f64 x (/.f64 z (-.f64 1 y)))) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (/.f64 x (/.f64 z (-.f64 1 y)))) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (/.f64 x (/.f64 z (-.f64 1 y)))) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
y |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (/.f64 x (/.f64 z (-.f64 1 y)))) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (/.f64 x (/.f64 z (-.f64 1 y)))) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (/.f64 x (/.f64 z (-.f64 1 y)))) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(/.f64 x (/.f64 z (-.f64 1 y))) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(*.f64 (/.f64 x z) (-.f64 1 y)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (/.f64 x (/.f64 z (-.f64 1 y)))) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (/.f64 x (/.f64 z (-.f64 1 y)))) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (/.f64 x (/.f64 z (-.f64 1 y)))) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z)) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(/.f64 x (/.f64 z (-.f64 1 y))) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(*.f64 (/.f64 x z) (-.f64 1 y)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (/.f64 x (/.f64 z (-.f64 1 y)))) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (/.f64 x (/.f64 z (-.f64 1 y)))) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (/.f64 x (/.f64 z (-.f64 1 y)))) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
x |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (fma.f64 y z x) (*.f64 x y)) |
(+.f64 x (*.f64 y (-.f64 z x))) |
(fma.f64 y (-.f64 z x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (fma.f64 y z x) (*.f64 x y)) |
(+.f64 x (*.f64 y (-.f64 z x))) |
(fma.f64 y (-.f64 z x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (fma.f64 y z x) (*.f64 x y)) |
(+.f64 x (*.f64 y (-.f64 z x))) |
(fma.f64 y (-.f64 z x) x) |
(*.f64 y (-.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (fma.f64 y z x) (*.f64 x y)) |
(+.f64 x (*.f64 y (-.f64 z x))) |
(fma.f64 y (-.f64 z x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (fma.f64 y z x) (*.f64 x y)) |
(+.f64 x (*.f64 y (-.f64 z x))) |
(fma.f64 y (-.f64 z x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (fma.f64 y z x) (*.f64 x y)) |
(+.f64 x (*.f64 y (-.f64 z x))) |
(fma.f64 y (-.f64 z x) x) |
(*.f64 -1 (*.f64 (-.f64 x z) y)) |
(*.f64 y (-.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (fma.f64 y z x) (*.f64 x y)) |
(+.f64 x (*.f64 y (-.f64 z x))) |
(fma.f64 y (-.f64 z x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (fma.f64 y z x) (*.f64 x y)) |
(+.f64 x (*.f64 y (-.f64 z x))) |
(fma.f64 y (-.f64 z x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (fma.f64 y z x) (*.f64 x y)) |
(+.f64 x (*.f64 y (-.f64 z x))) |
(fma.f64 y (-.f64 z x) x) |
(-.f64 x (*.f64 y x)) |
(-.f64 x (*.f64 x y)) |
(*.f64 x (-.f64 1 y)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (fma.f64 y z x) (*.f64 x y)) |
(+.f64 x (*.f64 y (-.f64 z x))) |
(fma.f64 y (-.f64 z x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (fma.f64 y z x) (*.f64 x y)) |
(+.f64 x (*.f64 y (-.f64 z x))) |
(fma.f64 y (-.f64 z x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (fma.f64 y z x) (*.f64 x y)) |
(+.f64 x (*.f64 y (-.f64 z x))) |
(fma.f64 y (-.f64 z x) x) |
(*.f64 y z) |
(*.f64 z y) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (fma.f64 y z x) (*.f64 x y)) |
(+.f64 x (*.f64 y (-.f64 z x))) |
(fma.f64 y (-.f64 z x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (fma.f64 y z x) (*.f64 x y)) |
(+.f64 x (*.f64 y (-.f64 z x))) |
(fma.f64 y (-.f64 z x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (fma.f64 y z x) (*.f64 x y)) |
(+.f64 x (*.f64 y (-.f64 z x))) |
(fma.f64 y (-.f64 z x) x) |
(*.f64 y z) |
(*.f64 z y) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (fma.f64 y z x) (*.f64 x y)) |
(+.f64 x (*.f64 y (-.f64 z x))) |
(fma.f64 y (-.f64 z x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (fma.f64 y z x) (*.f64 x y)) |
(+.f64 x (*.f64 y (-.f64 z x))) |
(fma.f64 y (-.f64 z x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (fma.f64 y z x) (*.f64 x y)) |
(+.f64 x (*.f64 y (-.f64 z x))) |
(fma.f64 y (-.f64 z x) x) |
(*.f64 y z) |
(*.f64 z y) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (fma.f64 y z x) (*.f64 x y)) |
(+.f64 x (*.f64 y (-.f64 z x))) |
(fma.f64 y (-.f64 z x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (fma.f64 y z x) (*.f64 x y)) |
(+.f64 x (*.f64 y (-.f64 z x))) |
(fma.f64 y (-.f64 z x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (fma.f64 y z x) (*.f64 x y)) |
(+.f64 x (*.f64 y (-.f64 z x))) |
(fma.f64 y (-.f64 z x) x) |
(*.f64 (-.f64 1 y) x) |
(-.f64 x (*.f64 x y)) |
(*.f64 x (-.f64 1 y)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (fma.f64 y z x) (*.f64 x y)) |
(+.f64 x (*.f64 y (-.f64 z x))) |
(fma.f64 y (-.f64 z x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (fma.f64 y z x) (*.f64 x y)) |
(+.f64 x (*.f64 y (-.f64 z x))) |
(fma.f64 y (-.f64 z x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (fma.f64 y z x) (*.f64 x y)) |
(+.f64 x (*.f64 y (-.f64 z x))) |
(fma.f64 y (-.f64 z x) x) |
(*.f64 -1 (*.f64 (-.f64 y 1) x)) |
(-.f64 x (*.f64 x y)) |
(*.f64 x (-.f64 1 y)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (fma.f64 y z x) (*.f64 x y)) |
(+.f64 x (*.f64 y (-.f64 z x))) |
(fma.f64 y (-.f64 z x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (fma.f64 y z x) (*.f64 x y)) |
(+.f64 x (*.f64 y (-.f64 z x))) |
(fma.f64 y (-.f64 z x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 y x)) |
(-.f64 (fma.f64 y z x) (*.f64 x y)) |
(+.f64 x (*.f64 y (-.f64 z x))) |
(fma.f64 y (-.f64 z x) x) |
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 74 | 4 | 78 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 75 | 5 | 80 |
| Status | Error | Program |
|---|---|---|
| 25.4b | (*.f64 y (-.f64 1 (/.f64 x z))) | |
| 2.9b | (fma.f64 x (/.f64 (-.f64 1 y) z) y) | |
| ▶ | 1.6b | (-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
| 35.5b | (*.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (*.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (/.f64 1 z))) | |
| 9.6b | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
Compiled 1071 to 346 computations (67.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 y (/.f64 x z)) |
| ✓ | 0.0b | (-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
| ✓ | 5.9b | (/.f64 (*.f64 y x) z) |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (*.f64 y x) z) |
| 1.0ms | y | @ | 0 | (+.f64 y (/.f64 x z)) |
| 1.0ms | y | @ | 0 | (/.f64 (*.f64 y x) z) |
| 1.0ms | y | @ | inf | (/.f64 (*.f64 y x) z) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 y x) z) |
| 1× | batch-egg-rewrite |
| 579× | fma-def_binary64 |
| 332× | fma-neg_binary64 |
| 202× | expm1-udef_binary64 |
| 202× | log1p-udef_binary64 |
| 137× | egg-rr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 30 |
| 1 | 212 | 27 |
| 2 | 3584 | 27 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y x) z) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 x z)) |
| Outputs |
|---|
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(/.f64 x z) 2)) (/.f64 1 (-.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) y) (*.f64 y y)) (+.f64 (pow.f64 y 3) (pow.f64 (/.f64 x z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 y (/.f64 x z)) (-.f64 (*.f64 y y) (pow.f64 (/.f64 x z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (/.f64 x z) 3)) (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) y) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (/.f64 x z) 3)) (+.f64 (pow.f64 (/.f64 x z) 2) (-.f64 (*.f64 y y) (*.f64 y (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (/.f64 x z) 2)) (-.f64 y (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 (/.f64 x z) 3))) (neg.f64 (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (/.f64 x z) 2))) (neg.f64 (-.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (*.f64 y y)) (-.f64 (/.f64 x z) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 y (/.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 y (/.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y (/.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y (/.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 y (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 y (/.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 z) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x z) 1 y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x z) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 (pow.f64 (/.f64 x z) 2)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 x z) 2)) (cbrt.f64 (/.f64 x z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 z) x y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 x (cbrt.f64 z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) z) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) z) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 x z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 y (/.f64 x z))) 1)))))) |
| 1× | egg-herbie |
| 612× | fma-def_binary64 |
| 366× | fma-neg_binary64 |
| 93× | distribute-rgt-in_binary64 |
| 84× | distribute-lft-in_binary64 |
| 69× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 87 |
| 1 | 52 | 87 |
| 2 | 140 | 87 |
| 3 | 330 | 78 |
| 4 | 701 | 78 |
| 5 | 1343 | 78 |
| 6 | 2094 | 78 |
| 7 | 2304 | 78 |
| 8 | 2341 | 78 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x z) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(*.f64 -1 (*.f64 y (-.f64 (/.f64 x z) 1))) |
y |
(*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 y z) (/.f64 1 z)) x)) |
(/.f64 (-.f64 x (*.f64 y x)) z) |
y |
y |
(/.f64 x z) |
y |
y |
y |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
y |
y |
| Outputs |
|---|
(/.f64 x z) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(fma.f64 (/.f64 x z) (neg.f64 y) y) |
(-.f64 y (*.f64 x (/.f64 y z))) |
(fma.f64 x (neg.f64 (/.f64 y z)) y) |
(*.f64 -1 (*.f64 y (-.f64 (/.f64 x z) 1))) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(fma.f64 (/.f64 x z) (neg.f64 y) y) |
(-.f64 y (*.f64 x (/.f64 y z))) |
(fma.f64 x (neg.f64 (/.f64 y z)) y) |
y |
(*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x) |
(*.f64 x (-.f64 (/.f64 1 z) (/.f64 y z))) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 y z) (/.f64 1 z)) x)) |
(*.f64 x (-.f64 (/.f64 1 z) (/.f64 y z))) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(/.f64 (-.f64 x (*.f64 y x)) z) |
(*.f64 x (-.f64 (/.f64 1 z) (/.f64 y z))) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
y |
y |
(/.f64 x z) |
y |
y |
y |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
y |
y |
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 244 | 1 | 245 |
| Fresh | 1 | 3 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 246 | 4 | 250 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (+.f64 y (/.f64 (-.f64 1 y) (/.f64 z x))) |
| 9.6b | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) | |
| 2.9b | (fma.f64 x (/.f64 (-.f64 1 y) z) y) | |
| 35.5b | (*.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (*.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (/.f64 1 z))) |
Compiled 5196 to 1548 computations (70.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 y (/.f64 (-.f64 1 y) (/.f64 z x))) |
| ✓ | 4.7b | (/.f64 (-.f64 1 y) (/.f64 z x)) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (/.f64 (-.f64 1 y) (/.f64 z x)) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 1 y) (/.f64 z x)) |
| 1.0ms | y | @ | 0 | (/.f64 (-.f64 1 y) (/.f64 z x)) |
| 1.0ms | z | @ | 0 | (/.f64 (-.f64 1 y) (/.f64 z x)) |
| 1.0ms | y | @ | inf | (/.f64 (-.f64 1 y) (/.f64 z x)) |
| 1× | batch-egg-rewrite |
| 309× | fma-def_binary64 |
| 237× | fma-neg_binary64 |
| 200× | log-div_binary64 |
| 192× | expm1-udef_binary64 |
| 191× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 206 | 21 |
| 2 | 3223 | 21 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 y) (/.f64 z x)) |
(+.f64 y (/.f64 (-.f64 1 y) (/.f64 z x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x z) (neg.f64 (*.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x z) (*.f64 y (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 y) (/.f64 x z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1 y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 y) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (-.f64 1 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 y) (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1 y) (/.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 y) (/.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 y) (/.f64 x z))) 2) (cbrt.f64 (*.f64 (-.f64 1 y) (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (*.f64 (cbrt.f64 (-.f64 1 y)) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1 y) (/.f64 x z))) (sqrt.f64 (*.f64 (-.f64 1 y) (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 y)) (*.f64 (sqrt.f64 (-.f64 1 y)) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 y)) (/.f64 1 (/.f64 (neg.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x z) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 y) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (/.f64 (-.f64 1 y) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 z x)) 2)) (/.f64 (-.f64 1 y) (cbrt.f64 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 z x))) (/.f64 (-.f64 1 y) (sqrt.f64 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 y)) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 y)) 1) (/.f64 (sqrt.f64 (-.f64 1 y)) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) z) (/.f64 (cbrt.f64 (-.f64 1 y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 y)) z) (/.f64 (sqrt.f64 (-.f64 1 y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (pow.f64 (cbrt.f64 (/.f64 z x)) 2)) (cbrt.f64 (*.f64 (-.f64 1 y) (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 y)) (pow.f64 (cbrt.f64 (/.f64 z x)) 2)) (/.f64 (sqrt.f64 (-.f64 1 y)) (cbrt.f64 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (sqrt.f64 (/.f64 z x))) (/.f64 (cbrt.f64 (-.f64 1 y)) (sqrt.f64 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 y) 1) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 y) (neg.f64 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 y) z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 y) z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 y) z) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 y) (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 y) (/.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 y) (/.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 y) (/.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (*.f64 (-.f64 1 y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 y) (/.f64 (neg.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 y) (/.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 y)) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 y) (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 y) (/.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 y) (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x z) (neg.f64 (*.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 z) (neg.f64 (*.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 (/.f64 x z))) (cbrt.f64 (/.f64 x z)) (neg.f64 (*.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) (neg.f64 (*.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) 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| 1× | egg-herbie |
| 488× | fma-neg_binary64 |
| 296× | fma-def_binary64 |
| 145× | distribute-rgt-in_binary64 |
| 117× | distribute-lft-in_binary64 |
| 84× | cancel-sign-sub-inv_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 760 |
| 1 | 82 | 760 |
| 2 | 203 | 706 |
| 3 | 457 | 706 |
| 4 | 1058 | 706 |
| 5 | 1979 | 706 |
| 6 | 2423 | 706 |
| 7 | 2446 | 706 |
| 8 | 2446 | 706 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x z) |
(-.f64 (/.f64 x z) (/.f64 (*.f64 y x) z)) |
(-.f64 (/.f64 x z) (/.f64 (*.f64 y x) z)) |
(-.f64 (/.f64 x z) (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(-.f64 (/.f64 x z) (/.f64 (*.f64 y x) z)) |
(-.f64 (/.f64 x z) (/.f64 (*.f64 y x) z)) |
(-.f64 (/.f64 x z) (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(-.f64 (/.f64 x z) (/.f64 (*.f64 y x) z)) |
(-.f64 (/.f64 x z) (/.f64 (*.f64 y x) z)) |
(-.f64 (/.f64 x z) (/.f64 (*.f64 y x) z)) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (-.f64 x (*.f64 y x)) z) |
(/.f64 (-.f64 x (*.f64 y x)) z) |
(/.f64 (-.f64 x (*.f64 y x)) z) |
(/.f64 (-.f64 x (*.f64 y x)) z) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 y x) x) z)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 y x) x) z)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 y x) x) z)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 y x) x) z)) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 x z) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (*.f64 y (-.f64 (/.f64 x z) 1))) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(/.f64 (-.f64 x (*.f64 y x)) z) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
y |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
y |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
y |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 y z) (/.f64 1 z)) x)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
| Outputs |
|---|
(/.f64 x z) |
(-.f64 (/.f64 x z) (/.f64 (*.f64 y x) z)) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(-.f64 (/.f64 x z) (/.f64 (*.f64 y x) z)) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(-.f64 (/.f64 x z) (/.f64 (*.f64 y x) z)) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 (*.f64 x y) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(-.f64 (/.f64 x z) (/.f64 (*.f64 y x) z)) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(-.f64 (/.f64 x z) (/.f64 (*.f64 y x) z)) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(-.f64 (/.f64 x z) (/.f64 (*.f64 y x) z)) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 (*.f64 x y) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(-.f64 (/.f64 x z) (/.f64 (*.f64 y x) z)) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(-.f64 (/.f64 x z) (/.f64 (*.f64 y x) z)) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(-.f64 (/.f64 x z) (/.f64 (*.f64 y x) z)) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(/.f64 (-.f64 x (*.f64 y x)) z) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(/.f64 (-.f64 x (*.f64 y x)) z) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(/.f64 (-.f64 x (*.f64 y x)) z) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(/.f64 (-.f64 x (*.f64 y x)) z) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 y x) x) z)) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 y x) x) z)) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 y x) x) z)) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 y x) x) z)) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(/.f64 x z) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (*.f64 (/.f64 (-.f64 1 y) z) x)) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (*.f64 (/.f64 (-.f64 1 y) z) x)) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (*.f64 (/.f64 (-.f64 1 y) z) x)) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(fma.f64 (/.f64 x z) (neg.f64 y) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (*.f64 (/.f64 (-.f64 1 y) z) x)) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (*.f64 (/.f64 (-.f64 1 y) z) x)) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (*.f64 (/.f64 (-.f64 1 y) z) x)) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(*.f64 -1 (*.f64 y (-.f64 (/.f64 x z) 1))) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(fma.f64 (/.f64 x z) (neg.f64 y) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (*.f64 (/.f64 (-.f64 1 y) z) x)) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (*.f64 (/.f64 (-.f64 1 y) z) x)) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (*.f64 (/.f64 (-.f64 1 y) z) x)) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(/.f64 (-.f64 x (*.f64 y x)) z) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (*.f64 (/.f64 (-.f64 1 y) z) x)) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (*.f64 (/.f64 (-.f64 1 y) z) x)) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (*.f64 (/.f64 (-.f64 1 y) z) x)) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
y |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (*.f64 (/.f64 (-.f64 1 y) z) x)) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (*.f64 (/.f64 (-.f64 1 y) z) x)) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (*.f64 (/.f64 (-.f64 1 y) z) x)) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
y |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (*.f64 (/.f64 (-.f64 1 y) z) x)) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (*.f64 (/.f64 (-.f64 1 y) z) x)) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (*.f64 (/.f64 (-.f64 1 y) z) x)) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
y |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (*.f64 (/.f64 (-.f64 1 y) z) x)) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (*.f64 (/.f64 (-.f64 1 y) z) x)) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (*.f64 (/.f64 (-.f64 1 y) z) x)) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (*.f64 (/.f64 (-.f64 1 y) z) x)) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (*.f64 (/.f64 (-.f64 1 y) z) x)) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (*.f64 (/.f64 (-.f64 1 y) z) x)) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 y z) (/.f64 1 z)) x)) |
(/.f64 (-.f64 x (*.f64 x y)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (*.f64 (/.f64 (-.f64 1 y) z) x)) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (*.f64 (/.f64 (-.f64 1 y) z) x)) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 x y)) z)) |
(+.f64 y (*.f64 (/.f64 (-.f64 1 y) z) x)) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 154 | 1 | 155 |
| Fresh | 1 | 2 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 156 | 3 | 159 |
| Status | Error | Program |
|---|---|---|
| 35.5b | (*.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (*.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (/.f64 1 z))) | |
| 9.6b | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) | |
| ▶ | 0.0b | (fma.f64 (/.f64 x z) (-.f64 1 y) y) |
Compiled 2439 to 1142 computations (53.2% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 (/.f64 x z) (-.f64 1 y) y) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (fma.f64 (/.f64 x z) (-.f64 1 y) y) |
| 1.0ms | z | @ | -inf | (fma.f64 (/.f64 x z) (-.f64 1 y) y) |
| 0.0ms | x | @ | 0 | (fma.f64 (/.f64 x z) (-.f64 1 y) y) |
| 0.0ms | y | @ | inf | (fma.f64 (/.f64 x z) (-.f64 1 y) y) |
| 0.0ms | y | @ | 0 | (fma.f64 (/.f64 x z) (-.f64 1 y) y) |
| 1× | batch-egg-rewrite |
| 860× | log1p-expm1-u_binary64 |
| 860× | expm1-log1p-u_binary64 |
| 87× | add-sqr-sqrt_binary64 |
| 85× | *-un-lft-identity_binary64 |
| 85× | pow1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 11 |
| 1 | 168 | 11 |
| 2 | 2221 | 11 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x z) (-.f64 1 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 x z) (-.f64 1 y)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 x z) (-.f64 1 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y)) 2) (cbrt.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y)) (sqrt.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x z) (-.f64 1 y)) 3) (pow.f64 y 3)) (+.f64 (*.f64 (*.f64 (/.f64 x z) (-.f64 1 y)) (*.f64 (/.f64 x z) (-.f64 1 y))) (-.f64 (*.f64 y y) (*.f64 (*.f64 (/.f64 x z) (-.f64 1 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) (-.f64 1 y)) (*.f64 (/.f64 x z) (-.f64 1 y))) (*.f64 y y)) (-.f64 (*.f64 (/.f64 x z) (-.f64 1 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y)) 1)))))) |
| 1× | egg-herbie |
| 736× | fma-def_binary64 |
| 513× | fma-neg_binary64 |
| 130× | distribute-rgt-in_binary64 |
| 92× | distribute-lft-in_binary64 |
| 76× | cancel-sign-sub-inv_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 417 |
| 1 | 60 | 417 |
| 2 | 156 | 417 |
| 3 | 370 | 408 |
| 4 | 803 | 354 |
| 5 | 1590 | 354 |
| 6 | 2504 | 354 |
| 7 | 2727 | 354 |
| 8 | 2764 | 354 |
| 1× | saturated |
| Inputs |
|---|
y |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 y z) (/.f64 1 z)) x)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(/.f64 (-.f64 x (*.f64 y x)) z) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
y |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
y |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(/.f64 x z) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (*.f64 y (-.f64 (/.f64 x z) 1))) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
| Outputs |
|---|
y |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 y x)) z)) |
(+.f64 y (/.f64 (fma.f64 y (neg.f64 x) x) z)) |
(+.f64 y (*.f64 (-.f64 1 y) (/.f64 x z))) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 y x)) z)) |
(+.f64 y (/.f64 (fma.f64 y (neg.f64 x) x) z)) |
(+.f64 y (*.f64 (-.f64 1 y) (/.f64 x z))) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 y x)) z)) |
(+.f64 y (/.f64 (fma.f64 y (neg.f64 x) x) z)) |
(+.f64 y (*.f64 (-.f64 1 y) (/.f64 x z))) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x) |
(*.f64 x (-.f64 (/.f64 1 z) (/.f64 y z))) |
(*.f64 (-.f64 1 y) (/.f64 x z)) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 y x)) z)) |
(+.f64 y (/.f64 (fma.f64 y (neg.f64 x) x) z)) |
(+.f64 y (*.f64 (-.f64 1 y) (/.f64 x z))) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 y x)) z)) |
(+.f64 y (/.f64 (fma.f64 y (neg.f64 x) x) z)) |
(+.f64 y (*.f64 (-.f64 1 y) (/.f64 x z))) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 y x)) z)) |
(+.f64 y (/.f64 (fma.f64 y (neg.f64 x) x) z)) |
(+.f64 y (*.f64 (-.f64 1 y) (/.f64 x z))) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 y z) (/.f64 1 z)) x)) |
(*.f64 x (-.f64 (/.f64 1 z) (/.f64 y z))) |
(*.f64 (-.f64 1 y) (/.f64 x z)) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 y x)) z)) |
(+.f64 y (/.f64 (fma.f64 y (neg.f64 x) x) z)) |
(+.f64 y (*.f64 (-.f64 1 y) (/.f64 x z))) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 y x)) z)) |
(+.f64 y (/.f64 (fma.f64 y (neg.f64 x) x) z)) |
(+.f64 y (*.f64 (-.f64 1 y) (/.f64 x z))) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 y x)) z)) |
(+.f64 y (/.f64 (fma.f64 y (neg.f64 x) x) z)) |
(+.f64 y (*.f64 (-.f64 1 y) (/.f64 x z))) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(/.f64 (-.f64 x (*.f64 y x)) z) |
(*.f64 x (-.f64 (/.f64 1 z) (/.f64 y z))) |
(*.f64 (-.f64 1 y) (/.f64 x z)) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 y x)) z)) |
(+.f64 y (/.f64 (fma.f64 y (neg.f64 x) x) z)) |
(+.f64 y (*.f64 (-.f64 1 y) (/.f64 x z))) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 y x)) z)) |
(+.f64 y (/.f64 (fma.f64 y (neg.f64 x) x) z)) |
(+.f64 y (*.f64 (-.f64 1 y) (/.f64 x z))) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 y x)) z)) |
(+.f64 y (/.f64 (fma.f64 y (neg.f64 x) x) z)) |
(+.f64 y (*.f64 (-.f64 1 y) (/.f64 x z))) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
y |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 y x)) z)) |
(+.f64 y (/.f64 (fma.f64 y (neg.f64 x) x) z)) |
(+.f64 y (*.f64 (-.f64 1 y) (/.f64 x z))) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 y x)) z)) |
(+.f64 y (/.f64 (fma.f64 y (neg.f64 x) x) z)) |
(+.f64 y (*.f64 (-.f64 1 y) (/.f64 x z))) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 y x)) z)) |
(+.f64 y (/.f64 (fma.f64 y (neg.f64 x) x) z)) |
(+.f64 y (*.f64 (-.f64 1 y) (/.f64 x z))) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
y |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 y x)) z)) |
(+.f64 y (/.f64 (fma.f64 y (neg.f64 x) x) z)) |
(+.f64 y (*.f64 (-.f64 1 y) (/.f64 x z))) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 y x)) z)) |
(+.f64 y (/.f64 (fma.f64 y (neg.f64 x) x) z)) |
(+.f64 y (*.f64 (-.f64 1 y) (/.f64 x z))) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 y x)) z)) |
(+.f64 y (/.f64 (fma.f64 y (neg.f64 x) x) z)) |
(+.f64 y (*.f64 (-.f64 1 y) (/.f64 x z))) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(/.f64 x z) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 y x)) z)) |
(+.f64 y (/.f64 (fma.f64 y (neg.f64 x) x) z)) |
(+.f64 y (*.f64 (-.f64 1 y) (/.f64 x z))) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 y x)) z)) |
(+.f64 y (/.f64 (fma.f64 y (neg.f64 x) x) z)) |
(+.f64 y (*.f64 (-.f64 1 y) (/.f64 x z))) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 y x)) z)) |
(+.f64 y (/.f64 (fma.f64 y (neg.f64 x) x) z)) |
(+.f64 y (*.f64 (-.f64 1 y) (/.f64 x z))) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(-.f64 y (*.f64 y (/.f64 x z))) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 y x)) z)) |
(+.f64 y (/.f64 (fma.f64 y (neg.f64 x) x) z)) |
(+.f64 y (*.f64 (-.f64 1 y) (/.f64 x z))) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 y x)) z)) |
(+.f64 y (/.f64 (fma.f64 y (neg.f64 x) x) z)) |
(+.f64 y (*.f64 (-.f64 1 y) (/.f64 x z))) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 y x)) z)) |
(+.f64 y (/.f64 (fma.f64 y (neg.f64 x) x) z)) |
(+.f64 y (*.f64 (-.f64 1 y) (/.f64 x z))) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(*.f64 -1 (*.f64 y (-.f64 (/.f64 x z) 1))) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(-.f64 y (*.f64 y (/.f64 x z))) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 y x)) z)) |
(+.f64 y (/.f64 (fma.f64 y (neg.f64 x) x) z)) |
(+.f64 y (*.f64 (-.f64 1 y) (/.f64 x z))) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 y x)) z)) |
(+.f64 y (/.f64 (fma.f64 y (neg.f64 x) x) z)) |
(+.f64 y (*.f64 (-.f64 1 y) (/.f64 x z))) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z)) |
(+.f64 y (/.f64 (-.f64 x (*.f64 y x)) z)) |
(+.f64 y (/.f64 (fma.f64 y (neg.f64 x) x) z)) |
(+.f64 y (*.f64 (-.f64 1 y) (/.f64 x z))) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 34 | 0 | 34 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 34 | 3 | 37 |
| Status | Error | Program |
|---|---|---|
| 35.5b | (*.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (*.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (/.f64 1 z))) | |
| 9.6b | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) | |
| ✓ | 0.0b | (fma.f64 (/.f64 x z) (-.f64 1 y) y) |
Compiled 452 to 231 computations (48.9% saved)
Total 0.0b remaining (61.8%)
Threshold costs 0.0b (61.8%)
Compiled 536 to 229 computations (57.3% saved)
| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 1× | *-commutative_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 11 |
| 1 | 12 | 11 |
| 2 | 16 | 11 |
| 3 | 18 | 11 |
| 4 | 19 | 11 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
| Outputs |
|---|
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
| 1× | fuel |
Compiled 67 to 38 computations (43.3% saved)
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