Time bar (total: 2.7s)
| 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% | 57.7% | 7.9% | 10 |
| 41.3% | 50.3% | 8.3% | 11 |
| 46.8% | 42.3% | 10.9% | 12 |
| 53.2% | 32.7% | 14.1% | 13 |
| 58% | 27.7% | 14.2% | 14 |
Compiled 13 to 10 computations (23.1% saved)
| 789.0ms | 8256× | body | 128 | valid |
| 70.0ms | 693× | body | 128 | invalid |
Compiled 26 to 20 computations (23.1% saved)
| 2× | egg-herbie |
| 2243× | fma-neg_binary64 |
| 413× | unsub-neg_binary64 |
| 262× | associate--r+_binary64 |
| 234× | distribute-rgt-in_binary64 |
| 215× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 52 |
| 1 | 55 | 52 |
| 2 | 144 | 44 |
| 3 | 494 | 44 |
| 4 | 1584 | 44 |
| 5 | 2961 | 44 |
| 6 | 3611 | 44 |
| 7 | 3718 | 44 |
| 8 | 3756 | 44 |
| 9 | 3772 | 44 |
| 10 | 3960 | 44 |
| 11 | 4041 | 44 |
| 12 | 4087 | 44 |
| 13 | 4154 | 44 |
| 14 | 4204 | 44 |
| 15 | 4204 | 44 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(*.f64 x (-.f64 1 (*.f64 (-.f64 1 y) z))) |
(*.f64 y (-.f64 1 (*.f64 (-.f64 1 x) z))) |
(*.f64 z (-.f64 1 (*.f64 (-.f64 1 y) x))) |
(*.f64 x (-.f64 1 (*.f64 (-.f64 1 z) y))) |
| Outputs |
|---|
(*.f64 x (-.f64 1 (*.f64 (-.f64 1 y) z))) |
(*.f64 x (fma.f64 z (+.f64 y -1) 1)) |
(fma.f64 x (-.f64 (*.f64 y z) z) x) |
(*.f64 x (fma.f64 y z (-.f64 1 z))) |
(*.f64 y (-.f64 1 (*.f64 (-.f64 1 x) z))) |
(*.f64 y (-.f64 1 (*.f64 z (-.f64 1 x)))) |
(*.f64 y (fma.f64 z (+.f64 x -1) 1)) |
(fma.f64 y (-.f64 (*.f64 x z) z) y) |
(*.f64 z (-.f64 1 (*.f64 (-.f64 1 y) x))) |
(*.f64 z (-.f64 1 (*.f64 x (-.f64 1 y)))) |
(*.f64 z (fma.f64 x (+.f64 y -1) 1)) |
(fma.f64 z (-.f64 (*.f64 x y) x) z) |
(*.f64 z (fma.f64 x y (-.f64 1 x))) |
(*.f64 x (-.f64 1 (*.f64 (-.f64 1 z) y))) |
(*.f64 x (-.f64 1 (*.f64 y (-.f64 1 z)))) |
(*.f64 x (fma.f64 y (+.f64 z -1) 1)) |
(fma.f64 x (-.f64 (*.f64 y z) y) x) |
Compiled 12 to 9 computations (25% saved)
| 1× | egg-herbie |
| 710× | fma-def_binary64 |
| 419× | fma-neg_binary64 |
| 208× | distribute-rgt-in_binary64 |
| 163× | distribute-lft-in_binary64 |
| 138× | unsub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 13 |
| 1 | 20 | 13 |
| 2 | 49 | 11 |
| 3 | 153 | 11 |
| 4 | 470 | 11 |
| 5 | 1119 | 11 |
| 6 | 1863 | 11 |
| 7 | 2564 | 11 |
| 8 | 2672 | 11 |
| 9 | 2672 | 11 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (-.f64 1 (*.f64 (-.f64 1 y) z))) |
| Outputs |
|---|
(*.f64 x (-.f64 1 (*.f64 (-.f64 1 y) z))) |
(*.f64 x (fma.f64 z (+.f64 y -1) 1)) |
(fma.f64 z (fma.f64 x y (neg.f64 x)) x) |
(fma.f64 z (-.f64 (*.f64 x y) x) x) |
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 |
|---|---|---|
| 4.8b | (fma.f64 z (-.f64 (*.f64 x y) x) x) | |
| ▶ | 1.6b | (*.f64 x (-.f64 1 (*.f64 (-.f64 1 y) z))) |
Compiled 66 to 42 computations (36.4% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (-.f64 1 y) z) |
| ✓ | 1.5b | (*.f64 x (-.f64 1 (*.f64 (-.f64 1 y) z))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 x (-.f64 1 (*.f64 (-.f64 1 y) z))) |
| 1.0ms | z | @ | -inf | (*.f64 x (-.f64 1 (*.f64 (-.f64 1 y) z))) |
| 1.0ms | x | @ | 0 | (*.f64 x (-.f64 1 (*.f64 (-.f64 1 y) z))) |
| 1.0ms | z | @ | inf | (*.f64 x (-.f64 1 (*.f64 (-.f64 1 y) z))) |
| 1.0ms | x | @ | inf | (*.f64 x (-.f64 1 (*.f64 (-.f64 1 y) z))) |
| 1× | batch-egg-rewrite |
| 555× | prod-diff_binary64 |
| 479× | log-prod_binary64 |
| 199× | fma-def_binary64 |
| 175× | expm1-udef_binary64 |
| 173× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 193 | 20 |
| 2 | 2558 | 20 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (-.f64 1 (*.f64 (-.f64 1 y) z))) |
(*.f64 (-.f64 1 y) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 (-.f64 1 y) (neg.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (*.f64 (-.f64 1 y) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (-.f64 1 (*.f64 (-.f64 1 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 (*.f64 (-.f64 1 y) z)))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 (*.f64 (-.f64 1 y) z)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 (*.f64 (-.f64 1 y) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 (*.f64 (-.f64 1 y) z))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 (*.f64 (-.f64 1 y) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1 (*.f64 (-.f64 1 y) z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 (-.f64 1 y) z) 3)) x) (fma.f64 (*.f64 (-.f64 1 y) z) (fma.f64 (-.f64 1 y) z 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 (-.f64 1 y) z) 2)) x) (fma.f64 (-.f64 1 y) z 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 (*.f64 (-.f64 1 y) z) 3))) (fma.f64 (*.f64 (-.f64 1 y) z) (fma.f64 (-.f64 1 y) z 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 (*.f64 (-.f64 1 y) z) 2))) (fma.f64 (-.f64 1 y) z 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 1 (*.f64 (-.f64 1 y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 1 (*.f64 (-.f64 1 y) z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 (-.f64 1 y) z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 (*.f64 (-.f64 1 y) z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 (*.f64 (-.f64 1 y) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1 (*.f64 (-.f64 1 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1 (*.f64 (-.f64 1 y) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 (*.f64 (-.f64 1 y) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (-.f64 1 (*.f64 (-.f64 1 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1 (*.f64 (-.f64 1 y) z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 (*.f64 (-.f64 1 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (*.f64 (-.f64 1 y) (neg.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 x (*.f64 (-.f64 1 y) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (*.f64 (-.f64 1 y) (neg.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x (*.f64 (-.f64 1 y) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (-.f64 1 y) (neg.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (*.f64 (-.f64 1 y) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (*.f64 (-.f64 1 y) (neg.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (*.f64 (-.f64 1 y) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (-.f64 1 y) (neg.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (*.f64 (-.f64 1 y) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (-.f64 1 (*.f64 (-.f64 1 y) z))))))))) |
((#(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 0 (*.f64 (-.f64 1 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (-.f64 1 y))) (cbrt.f64 (pow.f64 (exp.f64 z) (-.f64 1 y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (-.f64 1 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (-.f64 1 y) z 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 y 3)) z) (fma.f64 y (+.f64 1 y) 1))))) (#(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))) (fma.f64 y (+.f64 1 y) 1))))) (#(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 (-.f64 1 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 y) z) 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 log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (-.f64 1 y) z 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 1 (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 1 (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2) (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 (-.f64 1 y) z 1)) (cbrt.f64 (fma.f64 (-.f64 1 y) z 1))) (cbrt.f64 (fma.f64 (-.f64 1 y) z 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (-.f64 1 y) z 1)) (sqrt.f64 (fma.f64 (-.f64 1 y) z 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 y) z))))))) |
| 1× | egg-herbie |
| 613× | fma-neg_binary64 |
| 436× | fma-def_binary64 |
| 126× | unsub-neg_binary64 |
| 117× | distribute-rgt-in_binary64 |
| 102× | cancel-sign-sub-inv_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 508 |
| 1 | 71 | 448 |
| 2 | 184 | 448 |
| 3 | 411 | 448 |
| 4 | 847 | 448 |
| 5 | 1662 | 448 |
| 6 | 2273 | 448 |
| 7 | 2429 | 448 |
| 8 | 2441 | 448 |
| 9 | 2441 | 448 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 x (-.f64 1 z)) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(*.f64 y (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(*.f64 y (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
x |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(*.f64 (-.f64 y 1) (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(*.f64 -1 (*.f64 (-.f64 1 y) (*.f64 z x))) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
z |
(-.f64 z (*.f64 y z)) |
(-.f64 z (*.f64 y z)) |
(-.f64 z (*.f64 y z)) |
(*.f64 -1 (*.f64 y z)) |
(-.f64 z (*.f64 y z)) |
(-.f64 z (*.f64 y z)) |
(-.f64 z (*.f64 y z)) |
(*.f64 -1 (*.f64 y z)) |
(-.f64 z (*.f64 y z)) |
(-.f64 z (*.f64 y z)) |
(-.f64 z (*.f64 y z)) |
| Outputs |
|---|
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 (+.f64 1 (-.f64 (*.f64 y z) z)) x) |
(*.f64 (-.f64 (fma.f64 y z 1) z) x) |
(fma.f64 (*.f64 z x) (+.f64 y -1) x) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 (+.f64 1 (-.f64 (*.f64 y z) z)) x) |
(*.f64 (-.f64 (fma.f64 y z 1) z) x) |
(fma.f64 (*.f64 z x) (+.f64 y -1) x) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 (+.f64 1 (-.f64 (*.f64 y z) z)) x) |
(*.f64 (-.f64 (fma.f64 y z 1) z) x) |
(fma.f64 (*.f64 z x) (+.f64 y -1) x) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 (+.f64 1 (-.f64 (*.f64 y z) z)) x) |
(*.f64 (-.f64 (fma.f64 y z 1) z) x) |
(fma.f64 (*.f64 z x) (+.f64 y -1) x) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 (+.f64 1 (-.f64 (*.f64 y z) z)) x) |
(*.f64 (-.f64 (fma.f64 y z 1) z) x) |
(fma.f64 (*.f64 z x) (+.f64 y -1) x) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 (+.f64 1 (-.f64 (*.f64 y z) z)) x) |
(*.f64 (-.f64 (fma.f64 y z 1) z) x) |
(fma.f64 (*.f64 z x) (+.f64 y -1) x) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 (+.f64 1 (-.f64 (*.f64 y z) z)) x) |
(*.f64 (-.f64 (fma.f64 y z 1) z) x) |
(fma.f64 (*.f64 z x) (+.f64 y -1) x) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 (+.f64 1 (-.f64 (*.f64 y z) z)) x) |
(*.f64 (-.f64 (fma.f64 y z 1) z) x) |
(fma.f64 (*.f64 z x) (+.f64 y -1) x) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 (+.f64 1 (-.f64 (*.f64 y z) z)) x) |
(*.f64 (-.f64 (fma.f64 y z 1) z) x) |
(fma.f64 (*.f64 z x) (+.f64 y -1) x) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 (+.f64 1 (-.f64 (*.f64 y z) z)) x) |
(*.f64 (-.f64 (fma.f64 y z 1) z) x) |
(fma.f64 (*.f64 z x) (+.f64 y -1) x) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 (+.f64 1 (-.f64 (*.f64 y z) z)) x) |
(*.f64 (-.f64 (fma.f64 y z 1) z) x) |
(fma.f64 (*.f64 z x) (+.f64 y -1) x) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 (+.f64 1 (-.f64 (*.f64 y z) z)) x) |
(*.f64 (-.f64 (fma.f64 y z 1) z) x) |
(fma.f64 (*.f64 z x) (+.f64 y -1) x) |
(*.f64 x (-.f64 1 z)) |
(-.f64 x (*.f64 z x)) |
(fma.f64 z (neg.f64 x) x) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(*.f64 (+.f64 1 (-.f64 (*.f64 y z) z)) x) |
(*.f64 (-.f64 (fma.f64 y z 1) z) x) |
(fma.f64 (*.f64 z x) (+.f64 y -1) x) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(*.f64 (+.f64 1 (-.f64 (*.f64 y z) z)) x) |
(*.f64 (-.f64 (fma.f64 y z 1) z) x) |
(fma.f64 (*.f64 z x) (+.f64 y -1) x) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(*.f64 (+.f64 1 (-.f64 (*.f64 y z) z)) x) |
(*.f64 (-.f64 (fma.f64 y z 1) z) x) |
(fma.f64 (*.f64 z x) (+.f64 y -1) x) |
(*.f64 y (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(*.f64 (+.f64 1 (-.f64 (*.f64 y z) z)) x) |
(*.f64 (-.f64 (fma.f64 y z 1) z) x) |
(fma.f64 (*.f64 z x) (+.f64 y -1) x) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(*.f64 (+.f64 1 (-.f64 (*.f64 y z) z)) x) |
(*.f64 (-.f64 (fma.f64 y z 1) z) x) |
(fma.f64 (*.f64 z x) (+.f64 y -1) x) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(*.f64 (+.f64 1 (-.f64 (*.f64 y z) z)) x) |
(*.f64 (-.f64 (fma.f64 y z 1) z) x) |
(fma.f64 (*.f64 z x) (+.f64 y -1) x) |
(*.f64 y (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(*.f64 (+.f64 1 (-.f64 (*.f64 y z) z)) x) |
(*.f64 (-.f64 (fma.f64 y z 1) z) x) |
(fma.f64 (*.f64 z x) (+.f64 y -1) x) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(*.f64 (+.f64 1 (-.f64 (*.f64 y z) z)) x) |
(*.f64 (-.f64 (fma.f64 y z 1) z) x) |
(fma.f64 (*.f64 z x) (+.f64 y -1) x) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(*.f64 (+.f64 1 (-.f64 (*.f64 y z) z)) x) |
(*.f64 (-.f64 (fma.f64 y z 1) z) x) |
(fma.f64 (*.f64 z x) (+.f64 y -1) x) |
x |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(*.f64 (+.f64 1 (-.f64 (*.f64 y z) z)) x) |
(*.f64 (-.f64 (fma.f64 y z 1) z) x) |
(fma.f64 (*.f64 z x) (+.f64 y -1) x) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(*.f64 (+.f64 1 (-.f64 (*.f64 y z) z)) x) |
(*.f64 (-.f64 (fma.f64 y z 1) z) x) |
(fma.f64 (*.f64 z x) (+.f64 y -1) x) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(*.f64 (+.f64 1 (-.f64 (*.f64 y z) z)) x) |
(*.f64 (-.f64 (fma.f64 y z 1) z) x) |
(fma.f64 (*.f64 z x) (+.f64 y -1) x) |
(*.f64 (-.f64 y 1) (*.f64 z x)) |
(*.f64 (*.f64 z x) (+.f64 y -1)) |
(*.f64 z (*.f64 x (+.f64 y -1))) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(*.f64 (+.f64 1 (-.f64 (*.f64 y z) z)) x) |
(*.f64 (-.f64 (fma.f64 y z 1) z) x) |
(fma.f64 (*.f64 z x) (+.f64 y -1) x) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(*.f64 (+.f64 1 (-.f64 (*.f64 y z) z)) x) |
(*.f64 (-.f64 (fma.f64 y z 1) z) x) |
(fma.f64 (*.f64 z x) (+.f64 y -1) x) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(*.f64 (+.f64 1 (-.f64 (*.f64 y z) z)) x) |
(*.f64 (-.f64 (fma.f64 y z 1) z) x) |
(fma.f64 (*.f64 z x) (+.f64 y -1) x) |
(*.f64 -1 (*.f64 (-.f64 1 y) (*.f64 z x))) |
(*.f64 (*.f64 z x) (+.f64 y -1)) |
(*.f64 z (*.f64 x (+.f64 y -1))) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(*.f64 (+.f64 1 (-.f64 (*.f64 y z) z)) x) |
(*.f64 (-.f64 (fma.f64 y z 1) z) x) |
(fma.f64 (*.f64 z x) (+.f64 y -1) x) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(*.f64 (+.f64 1 (-.f64 (*.f64 y z) z)) x) |
(*.f64 (-.f64 (fma.f64 y z 1) z) x) |
(fma.f64 (*.f64 z x) (+.f64 y -1) x) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(*.f64 (+.f64 1 (-.f64 (*.f64 y z) z)) x) |
(*.f64 (-.f64 (fma.f64 y z 1) z) x) |
(fma.f64 (*.f64 z x) (+.f64 y -1) x) |
z |
(-.f64 z (*.f64 y z)) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 y z)) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 y z)) |
(*.f64 z (-.f64 1 y)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
(-.f64 z (*.f64 y z)) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 y z)) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 y z)) |
(*.f64 z (-.f64 1 y)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
(-.f64 z (*.f64 y z)) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 y z)) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 y z)) |
(*.f64 z (-.f64 1 y)) |
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 81 | 4 | 85 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 82 | 5 | 87 |
| Status | Error | Program |
|---|---|---|
| 4.8b | (fma.f64 z (-.f64 (*.f64 x y) x) x) | |
| 2.2b | (fma.f64 (*.f64 z x) (+.f64 y -1) x) | |
| ▶ | 1.6b | (*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
| 36.0b | (pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 (*.f64 (-.f64 1 y) z)))) 2) | |
| 24.3b | (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 (-.f64 1 y) z) 3)) x) (fma.f64 (*.f64 (-.f64 1 y) z) (fma.f64 (-.f64 1 y) z 1) 1)) |
Compiled 1259 to 801 computations (36.4% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (+.f64 1 (*.f64 y z)) z) |
| ✓ | 1.5b | (*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | 0 | (*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
| 1.0ms | x | @ | 0 | (*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
| 1.0ms | y | @ | 0 | (*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
| 0.0ms | y | @ | inf | (*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
| 0.0ms | z | @ | inf | (*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
| 1× | batch-egg-rewrite |
| 535× | fma-def_binary64 |
| 472× | log-prod_binary64 |
| 216× | fma-neg_binary64 |
| 174× | expm1-udef_binary64 |
| 173× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 193 | 19 |
| 2 | 2715 | 19 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(-.f64 (+.f64 1 (*.f64 y z)) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (fma.f64 y z (neg.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (fma.f64 y z (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (fma.f64 y z 1) z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 y z 1) x) (*.f64 (neg.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 y z 1)) (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 (fma.f64 y z 1) z))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 (fma.f64 y z 1) z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 (fma.f64 y z 1) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 (fma.f64 y z 1) z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 (fma.f64 y z 1) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (fma.f64 y z 1) z) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 y z 1) 3) (pow.f64 z 3)) x) (fma.f64 z (+.f64 1 (fma.f64 y z z)) (pow.f64 (fma.f64 y z 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 y z 1) 2) (*.f64 z z)) x) (+.f64 1 (fma.f64 y z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (pow.f64 (fma.f64 y z 1) 3) (pow.f64 z 3))) (fma.f64 z (+.f64 1 (fma.f64 y z z)) (pow.f64 (fma.f64 y z 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (pow.f64 (fma.f64 y z 1) 2) (*.f64 z z))) (+.f64 1 (fma.f64 y z z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 (fma.f64 y z 1) z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 y z 1) z) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 (fma.f64 y z 1) z) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 (fma.f64 y z 1) z) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 y z 1) z) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 (fma.f64 y z 1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 (fma.f64 y z 1) z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 y z 1) z) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 (fma.f64 y z 1) z) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 (fma.f64 y z 1) z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 (fma.f64 y z 1) z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (fma.f64 y z 1) z) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 (fma.f64 y z 1) z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (fma.f64 y z (neg.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x (fma.f64 y z (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 y z 1) x (*.f64 (neg.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (fma.f64 y z (neg.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 x (fma.f64 y z (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (fma.f64 y z 1) (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (fma.f64 y z (neg.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (fma.f64 y z (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (fma.f64 y z (neg.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (fma.f64 y z (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (fma.f64 y z (neg.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (fma.f64 y z (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 (fma.f64 y z 1) z) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 y z (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 y z (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) (+.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y z 1) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y z 1) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 y z 1) z) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 y z 1) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 y z 1) z) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (fma.f64 y z 1) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 z) (fma.f64 y z 1))))) (#(struct:change 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1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (+.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (+.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (+.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 y z 1) z))))))) |
| 1× | egg-herbie |
| 914× | fma-def_binary64 |
| 551× | fma-neg_binary64 |
| 102× | distribute-rgt-in_binary64 |
| 99× | cancel-sign-sub-inv_binary64 |
| 96× | unsub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 321 |
| 1 | 60 | 303 |
| 2 | 160 | 267 |
| 3 | 394 | 267 |
| 4 | 836 | 267 |
| 5 | 1553 | 267 |
| 6 | 2582 | 267 |
| 7 | 2801 | 267 |
| 8 | 2813 | 267 |
| 9 | 2813 | 267 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (-.f64 1 z) x) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(*.f64 y (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(*.f64 y (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
x |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(*.f64 (-.f64 y 1) (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(*.f64 -1 (*.f64 (-.f64 1 y) (*.f64 z x))) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 1 z) |
(*.f64 y z) |
(*.f64 y z) |
1 |
(*.f64 (-.f64 y 1) z) |
(*.f64 -1 (*.f64 (-.f64 1 y) z)) |
| Outputs |
|---|
(*.f64 (-.f64 1 z) x) |
(-.f64 x (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 z x) x) (*.f64 z x)) |
(+.f64 x (*.f64 x (*.f64 z (+.f64 y -1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(fma.f64 x (fma.f64 z y (neg.f64 z)) x) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 z x) x) (*.f64 z x)) |
(+.f64 x (*.f64 x (*.f64 z (+.f64 y -1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(fma.f64 x (fma.f64 z y (neg.f64 z)) x) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 z x) x) (*.f64 z x)) |
(+.f64 x (*.f64 x (*.f64 z (+.f64 y -1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(fma.f64 x (fma.f64 z y (neg.f64 z)) x) |
(*.f64 y (*.f64 z x)) |
(*.f64 z (*.f64 x y)) |
(*.f64 x (*.f64 z y)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 z x) x) (*.f64 z x)) |
(+.f64 x (*.f64 x (*.f64 z (+.f64 y -1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(fma.f64 x (fma.f64 z y (neg.f64 z)) x) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 z x) x) (*.f64 z x)) |
(+.f64 x (*.f64 x (*.f64 z (+.f64 y -1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(fma.f64 x (fma.f64 z y (neg.f64 z)) x) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 z x) x) (*.f64 z x)) |
(+.f64 x (*.f64 x (*.f64 z (+.f64 y -1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(fma.f64 x (fma.f64 z y (neg.f64 z)) x) |
(*.f64 y (*.f64 z x)) |
(*.f64 z (*.f64 x y)) |
(*.f64 x (*.f64 z y)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 z x) x) (*.f64 z x)) |
(+.f64 x (*.f64 x (*.f64 z (+.f64 y -1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(fma.f64 x (fma.f64 z y (neg.f64 z)) x) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 z x) x) (*.f64 z x)) |
(+.f64 x (*.f64 x (*.f64 z (+.f64 y -1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(fma.f64 x (fma.f64 z y (neg.f64 z)) x) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 z x) x) (*.f64 z x)) |
(+.f64 x (*.f64 x (*.f64 z (+.f64 y -1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(fma.f64 x (fma.f64 z y (neg.f64 z)) x) |
x |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 z x) x) (*.f64 z x)) |
(+.f64 x (*.f64 x (*.f64 z (+.f64 y -1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(fma.f64 x (fma.f64 z y (neg.f64 z)) x) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 z x) x) (*.f64 z x)) |
(+.f64 x (*.f64 x (*.f64 z (+.f64 y -1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(fma.f64 x (fma.f64 z y (neg.f64 z)) x) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 z x) x) (*.f64 z x)) |
(+.f64 x (*.f64 x (*.f64 z (+.f64 y -1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(fma.f64 x (fma.f64 z y (neg.f64 z)) x) |
(*.f64 (-.f64 y 1) (*.f64 z x)) |
(*.f64 (*.f64 z x) (+.f64 y -1)) |
(*.f64 x (*.f64 z (+.f64 y -1))) |
(*.f64 x (-.f64 (*.f64 z y) z)) |
(*.f64 x (fma.f64 z y (neg.f64 z))) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 z x) x) (*.f64 z x)) |
(+.f64 x (*.f64 x (*.f64 z (+.f64 y -1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(fma.f64 x (fma.f64 z y (neg.f64 z)) x) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 z x) x) (*.f64 z x)) |
(+.f64 x (*.f64 x (*.f64 z (+.f64 y -1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(fma.f64 x (fma.f64 z y (neg.f64 z)) x) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 z x) x) (*.f64 z x)) |
(+.f64 x (*.f64 x (*.f64 z (+.f64 y -1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(fma.f64 x (fma.f64 z y (neg.f64 z)) x) |
(*.f64 -1 (*.f64 (-.f64 1 y) (*.f64 z x))) |
(*.f64 (*.f64 z x) (+.f64 y -1)) |
(*.f64 x (*.f64 z (+.f64 y -1))) |
(*.f64 x (-.f64 (*.f64 z y) z)) |
(*.f64 x (fma.f64 z y (neg.f64 z))) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 z x) x) (*.f64 z x)) |
(+.f64 x (*.f64 x (*.f64 z (+.f64 y -1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(fma.f64 x (fma.f64 z y (neg.f64 z)) x) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 z x) x) (*.f64 z x)) |
(+.f64 x (*.f64 x (*.f64 z (+.f64 y -1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(fma.f64 x (fma.f64 z y (neg.f64 z)) x) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 z x) x) (*.f64 z x)) |
(+.f64 x (*.f64 x (*.f64 z (+.f64 y -1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(fma.f64 x (fma.f64 z y (neg.f64 z)) x) |
(-.f64 1 z) |
(*.f64 y z) |
(*.f64 z y) |
(*.f64 y z) |
(*.f64 z y) |
1 |
(*.f64 (-.f64 y 1) z) |
(*.f64 z (+.f64 y -1)) |
(-.f64 (*.f64 z y) z) |
(fma.f64 z y (neg.f64 z)) |
(*.f64 -1 (*.f64 (-.f64 1 y) z)) |
(*.f64 z (+.f64 y -1)) |
(-.f64 (*.f64 z y) z) |
(fma.f64 z y (neg.f64 z)) |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 190 | 1 | 191 |
| Fresh | 1 | 3 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 191 | 5 | 196 |
| Status | Error | Program |
|---|---|---|
| 4.8b | (fma.f64 z (-.f64 (*.f64 x y) x) x) | |
| ▶ | 2.2b | (fma.f64 (*.f64 z x) (+.f64 y -1) x) |
| ✓ | 1.6b | (*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
| 24.3b | (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 (-.f64 1 y) z) 3)) x) (fma.f64 (*.f64 (-.f64 1 y) z) (fma.f64 (-.f64 1 y) z 1) 1)) | |
| 36.0b | (pow.f64 (sqrt.f64 (*.f64 (-.f64 (fma.f64 y z 1) z) x)) 2) |
Compiled 2988 to 1507 computations (49.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 2.2b | (fma.f64 (*.f64 z x) (+.f64 y -1) x) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (fma.f64 (*.f64 z x) (+.f64 y -1) x) |
| 1.0ms | x | @ | -inf | (fma.f64 (*.f64 z x) (+.f64 y -1) x) |
| 1.0ms | x | @ | 0 | (fma.f64 (*.f64 z x) (+.f64 y -1) x) |
| 1.0ms | z | @ | 0 | (fma.f64 (*.f64 z x) (+.f64 y -1) x) |
| 1.0ms | z | @ | -inf | (fma.f64 (*.f64 z x) (+.f64 y -1) x) |
| 1× | batch-egg-rewrite |
| 852× | pow1_binary64 |
| 785× | log1p-expm1-u_binary64 |
| 785× | expm1-log1p-u_binary64 |
| 85× | add-sqr-sqrt_binary64 |
| 83× | *-un-lft-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 11 |
| 1 | 164 | 11 |
| 2 | 2049 | 11 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (*.f64 z x) (+.f64 y -1) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (*.f64 z (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 z (+.f64 y -1))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 z (+.f64 y -1))) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 z x) (+.f64 y -1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 z x) (+.f64 y -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 z x) (+.f64 y -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 z x) (+.f64 y -1) x)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 z x) (+.f64 y -1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 z x) (+.f64 y -1) x)) 2) (cbrt.f64 (fma.f64 (*.f64 z x) (+.f64 y -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 z x) (+.f64 y -1) x)) (sqrt.f64 (fma.f64 (*.f64 z x) (+.f64 y -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 z (+.f64 y -1))) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 x (*.f64 z (+.f64 y -1))) (*.f64 x (*.f64 z (+.f64 y -1)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 z (+.f64 y -1))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (*.f64 z (+.f64 y -1))) (*.f64 x (*.f64 z (+.f64 y -1)))) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 z (+.f64 y -1))) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 z x) (+.f64 y -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 z x) (+.f64 y -1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 z x) (+.f64 y -1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 z x) (+.f64 y -1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 z x) (+.f64 y -1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 z x) (+.f64 y -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 z x) (+.f64 y -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 z x) (+.f64 y -1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 z x) (+.f64 y -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 z x) (+.f64 y -1) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 z x) (+.f64 y -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 z x) (+.f64 y -1) x))))))) |
| 1× | egg-herbie |
| 839× | fma-def_binary64 |
| 458× | fma-neg_binary64 |
| 142× | distribute-rgt-in_binary64 |
| 135× | unsub-neg_binary64 |
| 110× | distribute-lft-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 462 |
| 1 | 74 | 372 |
| 2 | 189 | 372 |
| 3 | 497 | 372 |
| 4 | 1277 | 372 |
| 5 | 2190 | 372 |
| 6 | 2772 | 372 |
| 7 | 2792 | 372 |
| 8 | 2792 | 372 |
| 1× | saturated |
| Inputs |
|---|
x |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(*.f64 (-.f64 (*.f64 y x) x) z) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(*.f64 -1 (*.f64 (-.f64 x (*.f64 y x)) z)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 -1 (*.f64 (-.f64 z (+.f64 1 (*.f64 y z))) x)) |
(*.f64 -1 (*.f64 (-.f64 z (+.f64 1 (*.f64 y z))) x)) |
(*.f64 -1 (*.f64 (-.f64 z (+.f64 1 (*.f64 y z))) x)) |
(*.f64 -1 (*.f64 (-.f64 z (+.f64 1 (*.f64 y z))) x)) |
(-.f64 x (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(*.f64 y (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(*.f64 y (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
| Outputs |
|---|
x |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(*.f64 (-.f64 (*.f64 y x) x) z) |
(*.f64 z (fma.f64 y x (neg.f64 x))) |
(*.f64 z (fma.f64 x y (neg.f64 x))) |
(*.f64 z (-.f64 (*.f64 x y) x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(*.f64 -1 (*.f64 (-.f64 x (*.f64 y x)) z)) |
(*.f64 z (fma.f64 y x (neg.f64 x))) |
(*.f64 z (fma.f64 x y (neg.f64 x))) |
(*.f64 z (-.f64 (*.f64 x y) x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(*.f64 -1 (*.f64 (-.f64 z (+.f64 1 (*.f64 y z))) x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(*.f64 -1 (*.f64 (-.f64 z (+.f64 1 (*.f64 y z))) x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(*.f64 -1 (*.f64 (-.f64 z (+.f64 1 (*.f64 y z))) x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(*.f64 -1 (*.f64 (-.f64 z (+.f64 1 (*.f64 y z))) x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(-.f64 x (*.f64 z x)) |
(-.f64 x (*.f64 x z)) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(*.f64 y (*.f64 z x)) |
(*.f64 y (*.f64 x z)) |
(*.f64 z (*.f64 x y)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(*.f64 y (*.f64 z x)) |
(*.f64 y (*.f64 x z)) |
(*.f64 z (*.f64 x y)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 35 | 1 | 36 |
| Fresh | 1 | 2 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 36 | 5 | 41 |
| Status | Error | Program |
|---|---|---|
| ▶ | 4.8b | (fma.f64 z (-.f64 (*.f64 x y) x) x) |
| ✓ | 2.2b | (fma.f64 (*.f64 z x) (+.f64 y -1) x) |
| ✓ | 1.6b | (*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
| 24.3b | (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 (-.f64 1 y) z) 3)) x) (fma.f64 (*.f64 (-.f64 1 y) z) (fma.f64 (-.f64 1 y) z 1) 1)) | |
| 36.0b | (pow.f64 (sqrt.f64 (fma.f64 (*.f64 z x) (+.f64 y -1) x)) 2) |
Compiled 550 to 305 computations (44.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 x y) x) |
| ✓ | 4.6b | (fma.f64 z (-.f64 (*.f64 x y) x) x) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (fma.f64 z (-.f64 (*.f64 x y) x) x) |
| 1.0ms | z | @ | 0 | (fma.f64 z (-.f64 (*.f64 x y) x) x) |
| 1.0ms | x | @ | inf | (fma.f64 z (-.f64 (*.f64 x y) x) x) |
| 1.0ms | y | @ | inf | (fma.f64 z (-.f64 (*.f64 x y) x) x) |
| 1.0ms | x | @ | -inf | (fma.f64 z (-.f64 (*.f64 x y) x) x) |
| 1× | batch-egg-rewrite |
| 841× | pow1_binary64 |
| 778× | log1p-expm1-u_binary64 |
| 778× | expm1-log1p-u_binary64 |
| 81× | add-sqr-sqrt_binary64 |
| 80× | *-un-lft-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 18 |
| 1 | 151 | 18 |
| 2 | 2068 | 18 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 z (-.f64 (*.f64 x y) x) x) |
(-.f64 (*.f64 x y) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 z (fma.f64 x y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (fma.f64 x y (neg.f64 x)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (fma.f64 x y (neg.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (fma.f64 x y (neg.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (fma.f64 x y (neg.f64 x)) x)) (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 x y (neg.f64 x)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 x y (neg.f64 x)) x)) 2) (cbrt.f64 (fma.f64 z (fma.f64 x y (neg.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (fma.f64 x y (neg.f64 x)) x)) (sqrt.f64 (fma.f64 z (fma.f64 x y (neg.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) (*.f64 z (fma.f64 x y (neg.f64 x)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) (*.f64 z (fma.f64 x y (neg.f64 x)))) (*.f64 x x)) (-.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (fma.f64 x y (neg.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (fma.f64 x y (neg.f64 x)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 x y (neg.f64 x)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 x y (neg.f64 x)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (fma.f64 x y (neg.f64 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (fma.f64 x y (neg.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (fma.f64 x y (neg.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 x y (neg.f64 x)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (fma.f64 x y (neg.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 x y (neg.f64 x)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 x y (neg.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (fma.f64 x y (neg.f64 x)) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x y (neg.f64 x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x y (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x y (neg.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x y (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x y (neg.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 x y (neg.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (neg.f64 x))) 2) (cbrt.f64 (fma.f64 x y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x y (neg.f64 x))) (sqrt.f64 (fma.f64 x y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (fma.f64 x y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (/.f64 1 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (fma.f64 x y x))) (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x y x) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (fma.f64 x y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (fma.f64 x y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x))) (neg.f64 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x y) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x y (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x y (neg.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x y (neg.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x y (neg.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x y (neg.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x y (neg.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x y (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x y (neg.f64 x)))))))) |
| 1× | egg-herbie |
| 786× | fma-def_binary64 |
| 436× | fma-neg_binary64 |
| 144× | distribute-rgt-in_binary64 |
| 133× | unsub-neg_binary64 |
| 112× | distribute-lft-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 620 |
| 1 | 90 | 530 |
| 2 | 218 | 530 |
| 3 | 554 | 530 |
| 4 | 1345 | 530 |
| 5 | 2164 | 530 |
| 6 | 2657 | 530 |
| 7 | 2677 | 530 |
| 8 | 2677 | 530 |
| 1× | saturated |
| Inputs |
|---|
x |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(*.f64 (-.f64 (*.f64 y x) x) z) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(*.f64 -1 (*.f64 (-.f64 x (*.f64 y x)) z)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(*.f64 -1 (*.f64 (-.f64 z (+.f64 1 (*.f64 y z))) x)) |
(*.f64 -1 (*.f64 (-.f64 z (+.f64 1 (*.f64 y z))) x)) |
(*.f64 -1 (*.f64 (-.f64 z (+.f64 1 (*.f64 y z))) x)) |
(*.f64 -1 (*.f64 (-.f64 z (+.f64 1 (*.f64 y z))) x)) |
(-.f64 x (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(*.f64 y (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(*.f64 y (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 -1 (*.f64 (-.f64 1 y) x)) |
(*.f64 -1 (*.f64 (-.f64 1 y) x)) |
(*.f64 -1 (*.f64 (-.f64 1 y) x)) |
(*.f64 -1 (*.f64 (-.f64 1 y) x)) |
(*.f64 -1 x) |
(-.f64 (*.f64 y x) x) |
(-.f64 (*.f64 y x) x) |
(-.f64 (*.f64 y x) x) |
(*.f64 y x) |
(-.f64 (*.f64 y x) x) |
(-.f64 (*.f64 y x) x) |
(-.f64 (*.f64 y x) x) |
(*.f64 y x) |
(-.f64 (*.f64 y x) x) |
(-.f64 (*.f64 y x) x) |
(-.f64 (*.f64 y x) x) |
| Outputs |
|---|
x |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(*.f64 (-.f64 (*.f64 y x) x) z) |
(*.f64 z (fma.f64 y x (neg.f64 x))) |
(*.f64 z (fma.f64 x y (neg.f64 x))) |
(*.f64 x (*.f64 z (+.f64 y -1))) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(*.f64 -1 (*.f64 (-.f64 x (*.f64 y x)) z)) |
(*.f64 z (fma.f64 y x (neg.f64 x))) |
(*.f64 z (fma.f64 x y (neg.f64 x))) |
(*.f64 x (*.f64 z (+.f64 y -1))) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(*.f64 -1 (*.f64 (-.f64 z (+.f64 1 (*.f64 y z))) x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(*.f64 -1 (*.f64 (-.f64 z (+.f64 1 (*.f64 y z))) x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(*.f64 -1 (*.f64 (-.f64 z (+.f64 1 (*.f64 y z))) x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(*.f64 -1 (*.f64 (-.f64 z (+.f64 1 (*.f64 y z))) x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(-.f64 x (*.f64 z x)) |
(-.f64 x (*.f64 x z)) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(-.f64 (+.f64 (*.f64 y (*.f64 z x)) x) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(*.f64 y (*.f64 z x)) |
(*.f64 y (*.f64 x z)) |
(*.f64 z (*.f64 x y)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(*.f64 y (*.f64 z x)) |
(*.f64 y (*.f64 x z)) |
(*.f64 z (*.f64 x y)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(-.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z x)) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(*.f64 x (-.f64 (fma.f64 y z 1) z)) |
(*.f64 (-.f64 y 1) x) |
(*.f64 x (+.f64 y -1)) |
(fma.f64 x y (neg.f64 x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 x (+.f64 y -1)) |
(fma.f64 x y (neg.f64 x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 x (+.f64 y -1)) |
(fma.f64 x y (neg.f64 x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 x (+.f64 y -1)) |
(fma.f64 x y (neg.f64 x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 x (+.f64 y -1)) |
(fma.f64 x y (neg.f64 x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 x (+.f64 y -1)) |
(fma.f64 x y (neg.f64 x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 x (+.f64 y -1)) |
(fma.f64 x y (neg.f64 x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 x (+.f64 y -1)) |
(fma.f64 x y (neg.f64 x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 -1 (*.f64 (-.f64 1 y) x)) |
(*.f64 x (+.f64 y -1)) |
(fma.f64 x y (neg.f64 x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 -1 (*.f64 (-.f64 1 y) x)) |
(*.f64 x (+.f64 y -1)) |
(fma.f64 x y (neg.f64 x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 -1 (*.f64 (-.f64 1 y) x)) |
(*.f64 x (+.f64 y -1)) |
(fma.f64 x y (neg.f64 x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 -1 (*.f64 (-.f64 1 y) x)) |
(*.f64 x (+.f64 y -1)) |
(fma.f64 x y (neg.f64 x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 -1 x) |
(neg.f64 x) |
(-.f64 (*.f64 y x) x) |
(*.f64 x (+.f64 y -1)) |
(fma.f64 x y (neg.f64 x)) |
(-.f64 (*.f64 x y) x) |
(-.f64 (*.f64 y x) x) |
(*.f64 x (+.f64 y -1)) |
(fma.f64 x y (neg.f64 x)) |
(-.f64 (*.f64 x y) x) |
(-.f64 (*.f64 y x) x) |
(*.f64 x (+.f64 y -1)) |
(fma.f64 x y (neg.f64 x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 y x) |
(*.f64 x y) |
(-.f64 (*.f64 y x) x) |
(*.f64 x (+.f64 y -1)) |
(fma.f64 x y (neg.f64 x)) |
(-.f64 (*.f64 x y) x) |
(-.f64 (*.f64 y x) x) |
(*.f64 x (+.f64 y -1)) |
(fma.f64 x y (neg.f64 x)) |
(-.f64 (*.f64 x y) x) |
(-.f64 (*.f64 y x) x) |
(*.f64 x (+.f64 y -1)) |
(fma.f64 x y (neg.f64 x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 y x) |
(*.f64 x y) |
(-.f64 (*.f64 y x) x) |
(*.f64 x (+.f64 y -1)) |
(fma.f64 x y (neg.f64 x)) |
(-.f64 (*.f64 x y) x) |
(-.f64 (*.f64 y x) x) |
(*.f64 x (+.f64 y -1)) |
(fma.f64 x y (neg.f64 x)) |
(-.f64 (*.f64 x y) x) |
(-.f64 (*.f64 y x) x) |
(*.f64 x (+.f64 y -1)) |
(fma.f64 x y (neg.f64 x)) |
(-.f64 (*.f64 x y) x) |
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 84 | 0 | 84 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 84 | 5 | 89 |
| Status | Error | Program |
|---|---|---|
| ✓ | 4.8b | (fma.f64 z (-.f64 (*.f64 x y) x) x) |
| ✓ | 2.2b | (fma.f64 (*.f64 z x) (+.f64 y -1) x) |
| ✓ | 1.6b | (*.f64 (-.f64 (+.f64 1 (*.f64 y z)) z) x) |
| 24.3b | (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 (-.f64 1 y) z) 3)) x) (fma.f64 (*.f64 (-.f64 1 y) z) (fma.f64 (-.f64 1 y) z 1) 1)) | |
| 36.0b | (pow.f64 (sqrt.f64 (fma.f64 (*.f64 z x) (+.f64 y -1) x)) 2) |
Compiled 1148 to 378 computations (67.1% saved)
Total 0.4b remaining (96.7%)
Threshold costs 0.4b (96.7%)
Compiled 386 to 210 computations (45.6% saved)
| 2× | binary-search |
2 calls:
| 8.0ms | x |
| 7.0ms | x |
| Iters | Point | Range | ||||
|---|---|---|---|---|---|---|
4e+51 | ∈ [ | 3.018906324437025e+51 | , | 3.0827994322354033e+52 | ] | |
-1e+132 | ∈ [ | -1.2183550838023677e+141 | , | -2.519263737898712e+129 | ] | |
Compiled 4 to 3 computations (25% saved)
| 1× | egg-herbie |
| 5× | +-commutative_binary64 |
| 5× | *-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 45 |
| 1 | 32 | 45 |
| 2 | 38 | 45 |
| 3 | 42 | 45 |
| 4 | 44 | 45 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x -999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472) (*.f64 x (-.f64 (fma.f64 y z 1) z)) (if (<=.f64 x 3999999999999999972883794697446511905846833767776256) (fma.f64 z (-.f64 (*.f64 x y) x) x) (fma.f64 (*.f64 z x) (+.f64 y -1) x))) |
| Outputs |
|---|
(if (<=.f64 x -999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472) (*.f64 x (-.f64 (fma.f64 y z 1) z)) (if (<=.f64 x 3999999999999999972883794697446511905846833767776256) (fma.f64 z (-.f64 (*.f64 x y) x) x) (fma.f64 (*.f64 z x) (+.f64 y -1) x))) |
(if (<=.f64 x -999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472) (*.f64 x (-.f64 (fma.f64 y z 1) z)) (if (<=.f64 x 3999999999999999972883794697446511905846833767776256) (fma.f64 z (-.f64 (*.f64 x y) x) x) (fma.f64 (*.f64 x z) (+.f64 y -1) x))) |
| 1× | fuel |
Compiled 146 to 92 computations (37% saved)
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