Time bar (total: 1.9s)
| 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 |
| 28.1% | 71.8% | 0.1% | 9 |
| 37.4% | 56.9% | 5.6% | 10 |
| 43.7% | 50.3% | 6% | 11 |
| 51.9% | 42.1% | 6% | 12 |
| 58.7% | 32.4% | 8.9% | 13 |
| 62.9% | 27.9% | 9.2% | 14 |
Compiled 9 to 6 computations (33.3% saved)
| 894.0ms | 8256× | body | 128 | valid |
| 27.0ms | 288× | body | 128 | invalid |
| 2× | egg-herbie |
| 162× | fma-def_binary64 |
| 153× | fma-neg_binary64 |
| 48× | cancel-sign-sub-inv_binary64 |
| 31× | sub-neg_binary64 |
| 27× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 28 |
| 1 | 33 | 28 |
| 2 | 60 | 28 |
| 3 | 105 | 28 |
| 4 | 154 | 28 |
| 5 | 285 | 28 |
| 6 | 469 | 28 |
| 7 | 620 | 28 |
| 8 | 722 | 28 |
| 9 | 743 | 28 |
| 10 | 746 | 28 |
| 0 | 3 | 3 |
| 1 | 3 | 3 |
| 1× | unsound |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
1 |
| Inputs |
|---|
(-.f64 x (*.f64 y z)) |
(-.f64 y (*.f64 x z)) |
(-.f64 z (*.f64 y x)) |
(-.f64 x (*.f64 z y)) |
| Outputs |
|---|
(-.f64 x (*.f64 y z)) |
(-.f64 y (*.f64 x z)) |
(fma.f64 x (neg.f64 z) y) |
(-.f64 z (*.f64 y x)) |
(-.f64 z (*.f64 x y)) |
(fma.f64 y (neg.f64 x) z) |
(-.f64 x (*.f64 z y)) |
(-.f64 x (*.f64 y z)) |
(sort y z)
Compiled 8 to 5 computations (37.5% saved)
| 1× | egg-herbie |
| 100× | fma-def_binary64 |
| 56× | fma-neg_binary64 |
| 29× | cancel-sign-sub-inv_binary64 |
| 18× | sub-neg_binary64 |
| 13× | distribute-rgt-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 12 | 7 |
| 2 | 24 | 7 |
| 3 | 41 | 7 |
| 4 | 60 | 7 |
| 5 | 94 | 7 |
| 6 | 149 | 7 |
| 7 | 199 | 7 |
| 8 | 263 | 7 |
| 9 | 337 | 7 |
| 10 | 387 | 7 |
| 11 | 393 | 7 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (*.f64 y z)) |
| Outputs |
|---|
(-.f64 x (*.f64 y z)) |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (-.f64 x (*.f64 y z)) |
Compiled 24 to 15 computations (37.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (*.f64 y z)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | (-.f64 x (*.f64 y z)) |
| 1.0ms | x | @ | 0 | (-.f64 x (*.f64 y z)) |
| 0.0ms | y | @ | inf | (-.f64 x (*.f64 y z)) |
| 0.0ms | x | @ | inf | (-.f64 x (*.f64 y z)) |
| 0.0ms | z | @ | inf | (-.f64 x (*.f64 y z)) |
| 1× | batch-egg-rewrite |
| 738× | pow1_binary64 |
| 684× | add-log-exp_binary64 |
| 684× | log1p-expm1-u_binary64 |
| 684× | expm1-log1p-u_binary64 |
| 72× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 132 | 7 |
| 2 | 1857 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x (*.f64 y z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 z (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y 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 z (neg.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) (cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 2)) (cbrt.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) (sqrt.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (/.f64 1 (+.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 y z)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (+.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2))) (neg.f64 (+.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (neg.f64 y)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y))) (*.f64 x (*.f64 z (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y)))) (-.f64 x (*.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 y z)))))))) |
| 1× | egg-herbie |
| 101× | fma-def_binary64 |
| 56× | fma-neg_binary64 |
| 27× | cancel-sign-sub-inv_binary64 |
| 17× | sub-neg_binary64 |
| 13× | distribute-rgt-neg-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 250 |
| 1 | 15 | 223 |
| 2 | 31 | 223 |
| 3 | 44 | 223 |
| 4 | 56 | 223 |
| 5 | 87 | 223 |
| 6 | 147 | 223 |
| 7 | 195 | 223 |
| 8 | 252 | 223 |
| 9 | 339 | 223 |
| 10 | 389 | 223 |
| 11 | 395 | 223 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
| Outputs |
|---|
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 z (neg.f64 y)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 z (neg.f64 y)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 z (neg.f64 y)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 z (neg.f64 y)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 z (neg.f64 y)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 42 | 1 | 43 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 42 | 2 | 44 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (*.f64 y z)) |
| ▶ | 27.1b | (+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z))) |
Compiled 573 to 180 computations (68.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 x (*.f64 y z)) | |
| ✓ | 9.8b | (sqrt.f64 (*.f64 y z)) |
| ✓ | 25.0b | (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)) |
| 1.0ms | z | @ | 0 | (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)) |
| 1.0ms | z | @ | inf | (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)) |
| 1.0ms | y | @ | inf | (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)) |
| 1.0ms | z | @ | -inf | (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)) |
| 1× | batch-egg-rewrite |
| 574× | pow1_binary64 |
| 529× | add-log-exp_binary64 |
| 528× | log1p-expm1-u_binary64 |
| 528× | expm1-log1p-u_binary64 |
| 72× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 26 |
| 1 | 143 | 16 |
| 2 | 1770 | 16 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)) |
(sqrt.f64 (*.f64 y z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 y z) (*.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y z)) (+.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y z) (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 y z) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 y z) (*.f64 y z))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 y z) (*.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 y z) (*.f64 y z))) 2) (cbrt.f64 (+.f64 (*.f64 y z) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 y z) (*.f64 y z))) (sqrt.f64 (+.f64 (*.f64 y z) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (*.f64 y z) 3)) (+.f64 (pow.f64 (*.f64 y z) 2) (-.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (*.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (*.f64 y z) 2)) (-.f64 (*.f64 y z) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 y z) (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 y z) (*.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 y z) (*.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 y z) (*.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 y z) (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (*.f64 y z) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 y z) (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 y z) (*.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 y z) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 y z) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (*.f64 y z) (*.f64 y z)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (sqrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 y z))) (cbrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y z)) (neg.f64 (cbrt.f64 (sqrt.f64 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y z) 1/4) (pow.f64 (*.f64 y z) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y z) 1/4) (neg.f64 (pow.f64 (*.f64 y z) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (sqrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 y z)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (cbrt.f64 (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (*.f64 y z) 1/4)) (pow.f64 (*.f64 y z) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (cbrt.f64 (*.f64 y z))) (cbrt.f64 (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (*.f64 y z) 1/4)) (pow.f64 (*.f64 y z) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 y)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (*.f64 y z) 3/2)) (+.f64 0 (+.f64 (*.f64 y z) (*.f64 0 (sqrt.f64 (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (*.f64 y z)) (sqrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y z) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y z) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y z) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (sqrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y z) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 y z)))))))) |
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 24 |
| 1 | 5 | 24 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
| Outputs |
|---|
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 143 | 0 | 143 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 143 | 2 | 145 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (*.f64 y z)) |
| ✓ | 27.1b | (+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z))) |
Compiled 3360 to 706 computations (79% saved)
Total -27.8b remaining (-586134.5%)
Threshold costs -27.8b (-586134.5%)
Compiled 58 to 29 computations (50% saved)
| 1× | egg-herbie |
| 4× | +-commutative_binary64 |
| 4× | *-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 12 | 7 |
| 2 | 24 | 7 |
| 3 | 30 | 7 |
| 4 | 34 | 7 |
| 5 | 35 | 7 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (*.f64 y z)) |
| Outputs |
|---|
(-.f64 x (*.f64 y z)) |
| 1× | done |
(sort y z)
Compiled 56 to 24 computations (57.1% saved)
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