Time bar (total: 6.3s)
| 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 |
| 12.5% | 87.4% | 0.1% | 7 |
| 18.7% | 81.1% | 0.1% | 8 |
| 25% | 71.8% | 3.3% | 9 |
| 34.3% | 60.1% | 5.6% | 10 |
| 40.6% | 53.8% | 5.6% | 11 |
| 46.8% | 44.1% | 9.1% | 12 |
Compiled 13 to 9 computations (30.8% saved)
| 2.5s | 8256× | body | 256 | valid |
| 483.0ms | 1255× | body | 256 | invalid |
| 2× | egg-herbie |
| 768× | fma-neg_binary64 |
| 441× | fma-def_binary64 |
| 180× | cancel-sign-sub-inv_binary64 |
| 127× | distribute-rgt-in_binary64 |
| 113× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 44 |
| 1 | 43 | 44 |
| 2 | 87 | 44 |
| 3 | 151 | 44 |
| 4 | 337 | 36 |
| 5 | 680 | 32 |
| 6 | 1142 | 32 |
| 7 | 1869 | 32 |
| 8 | 2490 | 32 |
| 9 | 2788 | 32 |
| 10 | 2863 | 32 |
| 11 | 2864 | 32 |
| 12 | 2864 | 32 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(+.f64 (*.f64 z y) (*.f64 x (-.f64 1 y))) |
(+.f64 (*.f64 x z) (*.f64 y (-.f64 1 z))) |
| Outputs |
|---|
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
(fma.f64 x y (*.f64 z (-.f64 1 y))) |
(fma.f64 x y (-.f64 z (*.f64 y z))) |
(fma.f64 y (fma.f64 z -1 x) z) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 x y (*.f64 z (-.f64 1 x))) |
(fma.f64 x y (fma.f64 z (neg.f64 x) z)) |
(fma.f64 x (fma.f64 z -1 y) z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 z y) (*.f64 x (-.f64 1 y))) |
(fma.f64 z y (*.f64 x (-.f64 1 y))) |
(fma.f64 x (-.f64 1 y) (*.f64 y z)) |
(-.f64 (fma.f64 y z x) (*.f64 x y)) |
(fma.f64 y (fma.f64 x -1 z) x) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 x z) (*.f64 y (-.f64 1 z))) |
(fma.f64 x z (*.f64 y (-.f64 1 z))) |
(fma.f64 x z (fma.f64 z (neg.f64 y) y)) |
(fma.f64 z (fma.f64 y -1 x) y) |
(fma.f64 z (-.f64 x y) y) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
| 354× | fma-def_binary64 |
| 246× | fma-neg_binary64 |
| 54× | cancel-sign-sub-inv_binary64 |
| 44× | distribute-rgt-in_binary64 |
| 42× | associate--r+_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 11 |
| 1 | 17 | 11 |
| 2 | 30 | 11 |
| 3 | 57 | 11 |
| 4 | 126 | 9 |
| 5 | 218 | 8 |
| 6 | 347 | 8 |
| 7 | 558 | 8 |
| 8 | 969 | 8 |
| 9 | 1154 | 8 |
| 10 | 1214 | 8 |
| 11 | 1224 | 8 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
| Outputs |
|---|
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
(fma.f64 x y (*.f64 z (-.f64 1 y))) |
(fma.f64 z (-.f64 1 y) (*.f64 x y)) |
(-.f64 (fma.f64 x y z) (*.f64 y z)) |
(fma.f64 y (fma.f64 z -1 x) z) |
(fma.f64 y (-.f64 x z) z) |
Compiled 18 to 10 computations (44.4% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0b | (+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
Compiled 12 to 8 computations (33.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 z (-.f64 1 y)) |
Compiled 27 to 14 computations (48.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (*.f64 z (-.f64 1 y)) |
| 1.0ms | y | @ | -inf | (*.f64 z (-.f64 1 y)) |
| 1.0ms | y | @ | inf | (*.f64 z (-.f64 1 y)) |
| 1.0ms | z | @ | -inf | (*.f64 z (-.f64 1 y)) |
| 1.0ms | z | @ | inf | (*.f64 z (-.f64 1 y)) |
| 1× | batch-egg-rewrite |
| 617× | pow1_binary64 |
| 572× | add-log-exp_binary64 |
| 572× | log1p-expm1-u_binary64 |
| 572× | expm1-log1p-u_binary64 |
| 561× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 122 | 7 |
| 2 | 1510 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 z (-.f64 1 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (-.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 y 3)) z) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 1 (*.f64 y y))) (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (-.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (-.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (-.f64 1 y)))))))) |
| 1× | egg-herbie |
| 140× | fma-def_binary64 |
| 84× | fma-neg_binary64 |
| 22× | cancel-sign-sub-inv_binary64 |
| 21× | associate-*r*_binary64 |
| 19× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 85 |
| 1 | 14 | 76 |
| 2 | 33 | 76 |
| 3 | 51 | 76 |
| 4 | 72 | 76 |
| 5 | 146 | 76 |
| 6 | 283 | 76 |
| 7 | 392 | 76 |
| 8 | 475 | 76 |
| 9 | 539 | 76 |
| 1× | saturated |
| Inputs |
|---|
z |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
| Outputs |
|---|
z |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(fma.f64 -1 (*.f64 z y) z) |
(-.f64 z (*.f64 z y)) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(fma.f64 -1 (*.f64 z y) z) |
(-.f64 z (*.f64 z y)) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(fma.f64 -1 (*.f64 z y) z) |
(-.f64 z (*.f64 z y)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 z y)) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(fma.f64 -1 (*.f64 z y) z) |
(-.f64 z (*.f64 z y)) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(fma.f64 -1 (*.f64 z y) z) |
(-.f64 z (*.f64 z y)) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(fma.f64 -1 (*.f64 z y) z) |
(-.f64 z (*.f64 z y)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 z y)) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(fma.f64 -1 (*.f64 z y) z) |
(-.f64 z (*.f64 z y)) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(fma.f64 -1 (*.f64 z y) z) |
(-.f64 z (*.f64 z y)) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(fma.f64 -1 (*.f64 z y) z) |
(-.f64 z (*.f64 z y)) |
Compiled 260 to 134 computations (48.5% saved)
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 20 | 2 | 22 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 20 | 3 | 23 |
| Status | Error | Program |
|---|---|---|
| ▶ | 25.9b | (+.f64 (*.f64 x y) (*.f64 y (neg.f64 z))) |
| ✓ | 0b | (+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
| ▶ | 12.6b | (+.f64 (*.f64 x y) z) |
Compiled 31 to 20 computations (35.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 x y) z) |
Compiled 14 to 5 computations (64.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (+.f64 (*.f64 x y) z) |
| 1.0ms | x | @ | inf | (+.f64 (*.f64 x y) z) |
| 1.0ms | y | @ | inf | (+.f64 (*.f64 x y) z) |
| 1.0ms | y | @ | 0 | (+.f64 (*.f64 x y) z) |
| 1.0ms | x | @ | -inf | (+.f64 (*.f64 x y) z) |
| 1× | batch-egg-rewrite |
| 707× | pow1_binary64 |
| 655× | add-log-exp_binary64 |
| 655× | log1p-expm1-u_binary64 |
| 655× | expm1-log1p-u_binary64 |
| 640× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 5 |
| 1 | 129 | 5 |
| 2 | 1775 | 5 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 x y) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 x y) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x y z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x y z)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2) (cbrt.f64 (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z)) (/.f64 1 (-.f64 (*.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y)))) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x y) z) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3)) (+.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z)) (-.f64 (*.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 x y) 2)) (-.f64 z (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x y z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x y z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x y z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x y z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x y z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x y z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x y) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) z))))) |
| 1× | egg-herbie |
| 2× | fma-def_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 159 |
| 1 | 9 | 159 |
| 2 | 10 | 159 |
| 1× | saturated |
| Inputs |
|---|
z |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
z |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
z |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
z |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
| Outputs |
|---|
z |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
z |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
z |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
z |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 x y) (*.f64 y (neg.f64 z))) |
Compiled 23 to 7 computations (69.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (+.f64 (*.f64 x y) (*.f64 y (neg.f64 z))) |
| 1.0ms | y | @ | 0 | (+.f64 (*.f64 x y) (*.f64 y (neg.f64 z))) |
| 1.0ms | y | @ | inf | (+.f64 (*.f64 x y) (*.f64 y (neg.f64 z))) |
| 1.0ms | z | @ | 0 | (+.f64 (*.f64 x y) (*.f64 y (neg.f64 z))) |
| 1.0ms | z | @ | inf | (+.f64 (*.f64 x y) (*.f64 y (neg.f64 z))) |
| 1× | batch-egg-rewrite |
| 815× | pow1_binary64 |
| 754× | add-log-exp_binary64 |
| 753× | log1p-expm1-u_binary64 |
| 753× | expm1-log1p-u_binary64 |
| 737× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 174 | 7 |
| 2 | 2510 | 7 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 x y) (*.f64 y (neg.f64 z))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x y) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (-.f64 x z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (*.f64 y (-.f64 x z))) (/.f64 (pow.f64 (*.f64 y z) 2) (*.f64 y (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2) (/.f64 1 (*.f64 y (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) (cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2)) (cbrt.f64 (*.f64 y (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) (sqrt.f64 (*.f64 y (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2) (*.f64 x (*.f64 y (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (-.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2) (*.f64 x (*.f64 y (*.f64 y z)))) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 y z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y (-.f64 x z)) (pow.f64 (*.f64 y (-.f64 x z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2) (*.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 y z) 3)) (-.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2) (*.f64 x (*.f64 y (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 y z) 3)) (+.f64 (pow.f64 (*.f64 y z) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (*.f64 y (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 y z) 3))) (neg.f64 (-.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2) (*.f64 x (*.f64 y (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2)) (neg.f64 (*.f64 y (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 y z) 3)) (-.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2) (*.f64 x (*.f64 y (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (*.f64 x y) 2)) (-.f64 (*.f64 y z) (*.f64 x y)))))) (#(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 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 (*.f64 y (-.f64 x z)) 1)))) (#(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 cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 fma.f64 x y (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x y) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (cbrt.f64 (*.f64 y z)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 y z)))))) |
| 1× | egg-herbie |
| 142× | fma-def_binary64 |
| 108× | fma-neg_binary64 |
| 32× | unsub-neg_binary64 |
| 30× | cancel-sign-sub-inv_binary64 |
| 28× | associate-*r*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 330 |
| 1 | 48 | 240 |
| 2 | 100 | 240 |
| 3 | 174 | 240 |
| 4 | 310 | 240 |
| 5 | 494 | 240 |
| 6 | 609 | 240 |
| 7 | 650 | 240 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(*.f64 y (+.f64 (*.f64 -1 z) x)) |
(*.f64 y (+.f64 (*.f64 -1 z) x)) |
(*.f64 y (+.f64 (*.f64 -1 z) x)) |
(*.f64 y (+.f64 (*.f64 -1 z) x)) |
(*.f64 y (+.f64 (*.f64 -1 z) x)) |
(*.f64 y (+.f64 (*.f64 -1 z) x)) |
(*.f64 y (+.f64 (*.f64 -1 z) x)) |
(*.f64 y (+.f64 (*.f64 -1 z) x)) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
| Outputs |
|---|
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(*.f64 y (+.f64 (*.f64 -1 z) x)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(*.f64 y (+.f64 (*.f64 -1 z) x)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(*.f64 y (+.f64 (*.f64 -1 z) x)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(*.f64 y (+.f64 (*.f64 -1 z) x)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(*.f64 y (+.f64 (*.f64 -1 z) x)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(*.f64 y (+.f64 (*.f64 -1 z) x)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(*.f64 y (+.f64 (*.f64 -1 z) x)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(*.f64 y (+.f64 (*.f64 -1 z) x)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
Compiled 1013 to 342 computations (66.2% saved)
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 83 | 5 | 88 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 84 | 7 | 91 |
| Status | Error | Program |
|---|---|---|
| ▶ | 25.9b | (-.f64 (*.f64 x y) (*.f64 y z)) |
| ▶ | 25.9b | (*.f64 y (-.f64 x z)) |
| 37.3b | z | |
| ✓ | 12.6b | (+.f64 (*.f64 x y) z) |
| ▶ | 50.0b | (*.f64 y (neg.f64 z)) |
| ▶ | 38.3b | (*.f64 y x) |
| ✓ | 0b | (+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
Compiled 55 to 36 computations (34.5% saved)
Compiled 8 to 4 computations (50% saved)
Compiled 11 to 5 computations (54.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 y (-.f64 x z)) |
Compiled 14 to 5 computations (64.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | -inf | (*.f64 y (-.f64 x z)) |
| 1.0ms | y | @ | 0 | (*.f64 y (-.f64 x z)) |
| 1.0ms | y | @ | inf | (*.f64 y (-.f64 x z)) |
| 1.0ms | x | @ | -inf | (*.f64 y (-.f64 x z)) |
| 1.0ms | x | @ | inf | (*.f64 y (-.f64 x z)) |
| 1× | batch-egg-rewrite |
| 725× | pow1_binary64 |
| 672× | add-log-exp_binary64 |
| 672× | log1p-expm1-u_binary64 |
| 672× | expm1-log1p-u_binary64 |
| 657× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 129 | 7 |
| 2 | 1784 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (-.f64 x z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (-.f64 x z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (fma.f64 x x (*.f64 z (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (fma.f64 x x (*.f64 z (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (*.f64 x x) (*.f64 z z))) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (-.f64 x z)) 1)))) (#(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 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 sqrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.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 cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 x z) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (-.f64 x z)))))))) |
| 1× | egg-herbie |
| 217× | fma-def_binary64 |
| 132× | fma-neg_binary64 |
| 41× | cancel-sign-sub-inv_binary64 |
| 25× | distribute-rgt-in_binary64 |
| 25× | sub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 210 |
| 1 | 18 | 210 |
| 2 | 35 | 156 |
| 3 | 58 | 156 |
| 4 | 86 | 156 |
| 5 | 138 | 156 |
| 6 | 254 | 156 |
| 7 | 410 | 156 |
| 8 | 576 | 156 |
| 9 | 730 | 156 |
| 10 | 744 | 156 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
| Outputs |
|---|
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 y (-.f64 x z)) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 y (-.f64 x z)) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 y (-.f64 x z)) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 y (-.f64 x z)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 y (-.f64 x z)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(-.f64 (*.f64 y x) (*.f64 y z)) |
(*.f64 y (-.f64 x z)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 x y) (*.f64 y z)) |
Compiled 19 to 6 computations (68.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (-.f64 (*.f64 x y) (*.f64 y z)) |
| 1.0ms | x | @ | 0 | (-.f64 (*.f64 x y) (*.f64 y z)) |
| 1.0ms | y | @ | -inf | (-.f64 (*.f64 x y) (*.f64 y z)) |
| 1.0ms | z | @ | -inf | (-.f64 (*.f64 x y) (*.f64 y z)) |
| 1.0ms | y | @ | 0 | (-.f64 (*.f64 x y) (*.f64 y z)) |
| 1× | batch-egg-rewrite |
| 877× | pow1_binary64 |
| 812× | add-log-exp_binary64 |
| 812× | log1p-expm1-u_binary64 |
| 812× | expm1-log1p-u_binary64 |
| 795× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 160 | 7 |
| 2 | 2222 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 x y) (*.f64 y z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 (*.f64 z (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (+.f64 (*.f64 z (neg.f64 y)) (fma.f64 (neg.f64 z) y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 x z)) (fma.f64 (neg.f64 z) y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 x z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 x z)) (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 x 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 y (-.f64 x z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 x z)) (*.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 x z)) (+.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) (*.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (neg.f64 y)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (-.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 2) (cbrt.f64 (*.f64 y (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) (sqrt.f64 (*.f64 y (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 y z) (*.f64 y (+.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (-.f64 x z))) (/.f64 1 (*.f64 y (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 y z) (*.f64 y (+.f64 x z)))) (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 y z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y (+.f64 x z)) (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (-.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 y z) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 y z) (*.f64 y (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (-.f64 x z))) (*.f64 y (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 y z) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 y z) (*.f64 y (+.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (-.f64 x z)))) (neg.f64 (*.f64 y (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 z (neg.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y))) (*.f64 (*.f64 x y) (*.f64 z (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3) (pow.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) 3)) (+.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z))) (*.f64 (*.f64 y (-.f64 x z)) (fma.f64 (neg.f64 z) y (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y)))) (-.f64 (*.f64 x y) (*.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2) (*.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z)))) (-.f64 (*.f64 y (-.f64 x z)) (fma.f64 (neg.f64 z) y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (-.f64 x z)) 1)))) (#(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 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 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 cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 fma.f64 x y (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x y) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (-.f64 x z)) (fma.f64 (neg.f64 z) y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 2) (cbrt.f64 (*.f64 y (-.f64 x z))) (fma.f64 (neg.f64 z) y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) (sqrt.f64 (*.f64 y (-.f64 x z))) (fma.f64 (neg.f64 z) y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 z (neg.f64 y))))))) |
| 1× | egg-herbie |
| 118× | fma-def_binary64 |
| 80× | fma-neg_binary64 |
| 34× | unsub-neg_binary64 |
| 28× | associate-*l*_binary64 |
| 28× | distribute-rgt-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 330 |
| 1 | 44 | 240 |
| 2 | 97 | 240 |
| 3 | 243 | 240 |
| 4 | 411 | 240 |
| 5 | 530 | 240 |
| 6 | 599 | 240 |
| 7 | 604 | 240 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(*.f64 y (-.f64 x z)) |
(*.f64 y (-.f64 x z)) |
(*.f64 y (-.f64 x z)) |
(*.f64 y (-.f64 x z)) |
(*.f64 y (-.f64 x z)) |
(*.f64 y (-.f64 x z)) |
(*.f64 y (-.f64 x z)) |
(*.f64 y (-.f64 x z)) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 x) (*.f64 -1 z)))) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 x) (*.f64 -1 z)))) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 x) (*.f64 -1 z)))) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 x) (*.f64 -1 z)))) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
| Outputs |
|---|
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(*.f64 y (-.f64 x z)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 x) (*.f64 -1 z)))) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 x) (*.f64 -1 z)))) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 x) (*.f64 -1 z)))) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 x) (*.f64 -1 z)))) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (neg.f64 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
Compiled 1046 to 275 computations (73.7% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 81 | 0 | 81 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 81 | 7 | 88 |
| Status | Error | Program |
|---|---|---|
| ✓ | 25.9b | (-.f64 (*.f64 x y) (*.f64 y z)) |
| ✓ | 25.9b | (*.f64 y (-.f64 x z)) |
| 37.3b | z | |
| ✓ | 12.6b | (+.f64 (*.f64 x y) z) |
| ✓ | 50.0b | (*.f64 y (neg.f64 z)) |
| ✓ | 38.3b | (*.f64 y x) |
| ✓ | 0b | (+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
Compiled 55 to 36 computations (34.5% saved)
Compiled 3 to 3 computations (0% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 6 | 6 |
| Total | 0 | 7 | 7 |
| Status | Error | Program |
|---|---|---|
| ✓ | 25.9b | (-.f64 (*.f64 x y) (*.f64 y z)) |
| ✓ | 25.9b | (*.f64 y (-.f64 x z)) |
| 37.3b | z | |
| ✓ | 12.6b | (+.f64 (*.f64 x y) z) |
| ✓ | 50.0b | (*.f64 y (neg.f64 z)) |
| ✓ | 38.3b | (*.f64 y x) |
| ✓ | 0b | (+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
Compiled 55 to 36 computations (34.5% saved)
| Inputs |
|---|
z |
(*.f64 y x) |
(*.f64 y (neg.f64 z)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 x y) z) |
(-.f64 (*.f64 x y) (*.f64 y z)) |
(+.f64 (*.f64 x y) (*.f64 y (neg.f64 z))) |
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
| Outputs |
|---|
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
4 calls:
| 12.0ms | y |
| 12.0ms | (+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
| 11.0ms | x |
| 11.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 0b | 1 | x |
| 0b | 1 | y |
| 0b | 1 | z |
| 0b | 1 | (+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
Compiled 69 to 34 computations (50.7% saved)
| Inputs |
|---|
z |
(*.f64 y x) |
(*.f64 y (neg.f64 z)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 x y) z) |
(-.f64 (*.f64 x y) (*.f64 y z)) |
(+.f64 (*.f64 x y) (*.f64 y (neg.f64 z))) |
| Outputs |
|---|
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 x y) z) |
(-.f64 (*.f64 x y) (*.f64 y z)) |
3 calls:
| 32.0ms | y |
| 24.0ms | x |
| 11.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 11.4b | 3 | x |
| 0.6b | 3 | y |
| 12.6b | 1 | z |
Compiled 48 to 22 computations (54.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 184.0ms | 0.033406460876505645 | 4517047190.771689 |
| 34.0ms | -1278488925.4544115 | -0.009486713821083254 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
z |
(*.f64 y x) |
(*.f64 y (neg.f64 z)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 x y) z) |
| Outputs |
|---|
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 x y) z) |
(*.f64 y (-.f64 x z)) |
3 calls:
| 29.0ms | y |
| 28.0ms | x |
| 11.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 11.4b | 3 | x |
| 0.6b | 3 | y |
| 12.6b | 1 | z |
Compiled 33 to 19 computations (42.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 37.0ms | 0.033406460876505645 | 4517047190.771689 |
| 35.0ms | -1278488925.4544115 | -0.009486713821083254 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
z |
(*.f64 y x) |
(*.f64 y (neg.f64 z)) |
(*.f64 y (-.f64 x z)) |
| Outputs |
|---|
(*.f64 y (-.f64 x z)) |
z |
(*.f64 y (-.f64 x z)) |
3 calls:
| 132.0ms | x |
| 117.0ms | z |
| 32.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 19.9b | 7 | x |
| 9.4b | 3 | y |
| 18.6b | 5 | z |
Compiled 28 to 17 computations (39.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 2.04735886815879e-88 | 6.713059904270007e-73 |
| 34.0ms | -3.9173118535925755e-112 | -8.559152100023359e-114 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
z |
(*.f64 y x) |
(*.f64 y (neg.f64 z)) |
| Outputs |
|---|
(*.f64 y (neg.f64 z)) |
(*.f64 y x) |
z |
(*.f64 y x) |
z |
(*.f64 y x) |
(*.f64 y (neg.f64 z)) |
(*.f64 y x) |
3 calls:
| 77.0ms | y |
| 65.0ms | x |
| 50.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 23.1b | 7 | x |
| 17.3b | 8 | y |
| 25.0b | 7 | z |
Compiled 23 to 15 computations (34.8% saved)
| 7× | binary-search |
| Time | Left | Right |
|---|---|---|
| 31.0ms | 1.9524605834250614e+172 | 7.674397010917306e+176 |
| 87.0ms | 6.025557972697738e+80 | 8.887890559264279e+83 |
| 18.0ms | 2.04735886815879e-88 | 6.713059904270007e-73 |
| 21.0ms | -3.9173118535925755e-112 | -8.559152100023359e-114 |
| 17.0ms | -1.2340267944634626e-41 | -3.461507153346498e-42 |
| 20.0ms | -5.3338955905921374e-11 | -1.971583301263317e-11 |
| 18.0ms | -6.142441801157425e+20 | -1.4384106792111255e+20 |
Compiled 258 to 189 computations (26.7% saved)
Total -41.3b remaining (-200%)
Threshold costs -41.3b (-200%)
| Inputs |
|---|
z |
(*.f64 y x) |
| Outputs |
|---|
(*.f64 y x) |
z |
(*.f64 y x) |
z |
(*.f64 y x) |
3 calls:
| 19.0ms | z |
| 17.0ms | y |
| 9.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 25.3b | 3 | x |
| 20.7b | 5 | y |
| 25.0b | 7 | z |
Compiled 19 to 13 computations (31.6% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 2.04735886815879e-88 | 6.713059904270007e-73 |
| 39.0ms | -3.9173118535925755e-112 | -8.559152100023359e-114 |
| 17.0ms | -1.2340267944634626e-41 | -3.461507153346498e-42 |
| 17.0ms | -5.3338955905921374e-11 | -1.971583301263317e-11 |
Compiled 18 to 13 computations (27.8% saved)
| 1× | egg-herbie |
| 8× | +-commutative_binary64 |
| 8× | *-commutative_binary64 |
| 6× | sub-neg_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 220 |
| 1 | 76 | 220 |
| 2 | 86 | 220 |
| 3 | 91 | 220 |
| 4 | 93 | 220 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
(if (<=.f64 y -1340592803497285/1048576) (*.f64 y (-.f64 x z)) (if (<=.f64 y 1203594598041583/36028797018963968) (+.f64 (*.f64 x y) z) (-.f64 (*.f64 x y) (*.f64 y z)))) |
(if (<=.f64 y -1340592803497285/1048576) (*.f64 y (-.f64 x z)) (if (<=.f64 y 1203594598041583/36028797018963968) (+.f64 (*.f64 x y) z) (*.f64 y (-.f64 x z)))) |
(if (<=.f64 y -8485478014747163/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608) (*.f64 y (-.f64 x z)) (if (<=.f64 y 458556126030975/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) z (*.f64 y (-.f64 x z)))) |
(if (<=.f64 y -614244180115742523392) (*.f64 y (neg.f64 z)) (if (<=.f64 y -1031725455775273/19342813113834066795298816) (*.f64 y x) (if (<=.f64 y -4841319833150165/392318858461667547739736838950479151006397215279002157056) z (if (<=.f64 y -8485478014747163/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608) (*.f64 y x) (if (<=.f64 y 458556126030975/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) z (if (<=.f64 y 879999999999999994757927642668658325237403690843704639481016440762156093239384342528) (*.f64 y x) (if (<=.f64 y 749999999999999949350312944765785133449764857862592168398517927210521975591417462549820148886831914818340625653452770338782692455596140847214601237158433015215964412205781221376) (*.f64 y (neg.f64 z)) (*.f64 y x)))))))) |
(if (<=.f64 y -1031725455775273/19342813113834066795298816) (*.f64 y x) (if (<=.f64 y -4841319833150165/392318858461667547739736838950479151006397215279002157056) z (if (<=.f64 y -8485478014747163/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608) (*.f64 y x) (if (<=.f64 y 458556126030975/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) z (*.f64 y x))))) |
z |
| Outputs |
|---|
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
(+.f64 (*.f64 z (-.f64 1 y)) (*.f64 x y)) |
(if (<=.f64 y -1340592803497285/1048576) (*.f64 y (-.f64 x z)) (if (<=.f64 y 1203594598041583/36028797018963968) (+.f64 (*.f64 x y) z) (-.f64 (*.f64 x y) (*.f64 y z)))) |
(if (<=.f64 y -1340592803497285/1048576) (*.f64 y (-.f64 x z)) (if (<=.f64 y 1203594598041583/36028797018963968) (+.f64 z (*.f64 x y)) (-.f64 (*.f64 x y) (*.f64 y z)))) |
(if (<=.f64 y -1340592803497285/1048576) (*.f64 y (-.f64 x z)) (if (<=.f64 y 1203594598041583/36028797018963968) (+.f64 (*.f64 x y) z) (*.f64 y (-.f64 x z)))) |
(if (<=.f64 y -1340592803497285/1048576) (*.f64 y (-.f64 x z)) (if (<=.f64 y 1203594598041583/36028797018963968) (+.f64 z (*.f64 x y)) (*.f64 y (-.f64 x z)))) |
(if (<=.f64 y -8485478014747163/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608) (*.f64 y (-.f64 x z)) (if (<=.f64 y 458556126030975/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) z (*.f64 y (-.f64 x z)))) |
(if (<=.f64 y -614244180115742523392) (*.f64 y (neg.f64 z)) (if (<=.f64 y -1031725455775273/19342813113834066795298816) (*.f64 y x) (if (<=.f64 y -4841319833150165/392318858461667547739736838950479151006397215279002157056) z (if (<=.f64 y -8485478014747163/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608) (*.f64 y x) (if (<=.f64 y 458556126030975/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) z (if (<=.f64 y 879999999999999994757927642668658325237403690843704639481016440762156093239384342528) (*.f64 y x) (if (<=.f64 y 749999999999999949350312944765785133449764857862592168398517927210521975591417462549820148886831914818340625653452770338782692455596140847214601237158433015215964412205781221376) (*.f64 y (neg.f64 z)) (*.f64 y x)))))))) |
(if (<=.f64 y -614244180115742523392) (*.f64 y (neg.f64 z)) (if (<=.f64 y -1031725455775273/19342813113834066795298816) (*.f64 x y) (if (<=.f64 y -4841319833150165/392318858461667547739736838950479151006397215279002157056) z (if (<=.f64 y -8485478014747163/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608) (*.f64 x y) (if (<=.f64 y 458556126030975/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) z (if (<=.f64 y 879999999999999994757927642668658325237403690843704639481016440762156093239384342528) (*.f64 x y) (if (<=.f64 y 749999999999999949350312944765785133449764857862592168398517927210521975591417462549820148886831914818340625653452770338782692455596140847214601237158433015215964412205781221376) (*.f64 y (neg.f64 z)) (*.f64 x y)))))))) |
(if (<=.f64 y -1031725455775273/19342813113834066795298816) (*.f64 y x) (if (<=.f64 y -4841319833150165/392318858461667547739736838950479151006397215279002157056) z (if (<=.f64 y -8485478014747163/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608) (*.f64 y x) (if (<=.f64 y 458556126030975/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) z (*.f64 y x))))) |
(if (<=.f64 y -1031725455775273/19342813113834066795298816) (*.f64 x y) (if (<=.f64 y -4841319833150165/392318858461667547739736838950479151006397215279002157056) z (if (<=.f64 y -8485478014747163/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608) (*.f64 x y) (if (<=.f64 y 458556126030975/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) z (*.f64 x y))))) |
z |
Compiled 175 to 93 computations (46.9% saved)
Compiled 157 to 66 computations (58% saved)
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