Time bar (total: 2.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 50.8% | 50% | 48.4% | 0.1% | 1.6% | 0% | 0% | 7 |
| 60.8% | 59.3% | 38.2% | 0.1% | 2.3% | 0% | 0% | 8 |
| 70.8% | 67.1% | 27.7% | 0.1% | 5.1% | 0% | 0% | 9 |
| 77.3% | 72.6% | 21.3% | 0.1% | 6% | 0% | 0% | 10 |
| 83.9% | 76.9% | 14.7% | 0.1% | 8.3% | 0% | 0% | 11 |
| 87.7% | 79.8% | 11.2% | 0.1% | 8.9% | 0% | 0% | 12 |
Compiled 10 to 6 computations (40% saved)
| 1.3s | 8254× | body | 256 | valid |
| 33.0ms | 334× | body | 256 | infinite |
| 0.0ms | 2× | body | 1024 | valid |
| 2× | egg-herbie |
| 247× | fma-neg_binary64 |
| 169× | fma-def_binary64 |
| 59× | cancel-sign-sub-inv_binary64 |
| 37× | sub-neg_binary64 |
| 34× | associate--r+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 27 | 20 |
| 2 | 46 | 20 |
| 3 | 82 | 18 |
| 4 | 152 | 16 |
| 5 | 284 | 16 |
| 6 | 534 | 16 |
| 7 | 790 | 16 |
| 8 | 932 | 16 |
| 9 | 952 | 16 |
| 10 | 953 | 16 |
| 0 | 2 | 2 |
| 1 | 2 | 2 |
| 1× | unsound |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
0 |
| Inputs |
|---|
(-.f64 (+.f64 x y) (*.f64 x y)) |
(-.f64 (+.f64 y x) (*.f64 y x)) |
| Outputs |
|---|
(-.f64 (+.f64 x y) (*.f64 x y)) |
(+.f64 x (-.f64 y (*.f64 x y))) |
(-.f64 x (-.f64 (*.f64 x y) y)) |
(fma.f64 (fma.f64 x -1 1) y x) |
(fma.f64 x (-.f64 1 y) y) |
(-.f64 (+.f64 y x) (*.f64 y x)) |
(+.f64 x (-.f64 y (*.f64 x y))) |
(-.f64 x (-.f64 (*.f64 x y) y)) |
(fma.f64 (fma.f64 x -1 1) y x) |
(fma.f64 x (-.f64 1 y) y) |
(sort x y)
Compiled 11 to 7 computations (36.4% saved)
| 1× | egg-herbie |
| 249× | fma-neg_binary64 |
| 179× | fma-def_binary64 |
| 55× | cancel-sign-sub-inv_binary64 |
| 39× | sub-neg_binary64 |
| 37× | associate--r+_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 10 |
| 1 | 15 | 10 |
| 2 | 35 | 10 |
| 3 | 69 | 9 |
| 4 | 136 | 8 |
| 5 | 265 | 8 |
| 6 | 509 | 8 |
| 7 | 777 | 8 |
| 8 | 952 | 8 |
| 9 | 981 | 8 |
| 10 | 982 | 8 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 x y) (*.f64 x y)) |
| Outputs |
|---|
(-.f64 (+.f64 x y) (*.f64 x y)) |
(+.f64 x (-.f64 y (*.f64 x y))) |
(fma.f64 x (neg.f64 y) (+.f64 x y)) |
(fma.f64 (fma.f64 -1 y 1) x y) |
(fma.f64 x (-.f64 1 y) y) |
Compiled 15 to 8 computations (46.7% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (fma.f64 x (-.f64 1 y) y) |
| ▶ | 0.0b | (-.f64 (+.f64 x y) (*.f64 x y)) |
Compiled 17 to 10 computations (41.2% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (+.f64 x y) (*.f64 x y)) |
Compiled 17 to 5 computations (70.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 1.0ms | x | @ | inf | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 1.0ms | x | @ | -inf | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 1.0ms | y | @ | inf | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 1.0ms | x | @ | 0 | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 1× | batch-egg-rewrite |
| 917× | pow1_binary64 |
| 857× | add-log-exp_binary64 |
| 857× | log1p-expm1-u_binary64 |
| 857× | expm1-log1p-u_binary64 |
| 840× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 10 |
| 1 | 144 | 10 |
| 2 | 2331 | 10 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 x y) (*.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (-.f64 y (*.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (-.f64 x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (+.f64 x (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x y) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x y) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (-.f64 x (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (-.f64 x (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (-.f64 x (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (-.f64 x (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (-.f64 x (*.f64 x y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y (-.f64 x (*.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 y (-.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 x y)))) (pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 x y)))) 2) (cbrt.f64 (+.f64 y (-.f64 x (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 y (-.f64 x (*.f64 x y)))) (sqrt.f64 (+.f64 y (-.f64 x (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 (*.f64 x y) (+.f64 y (+.f64 x (*.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 y (+.f64 x (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 (*.f64 x y) (+.f64 y (+.f64 x (*.f64 x y))))) (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y (+.f64 x (*.f64 x y))) (-.f64 (pow.f64 (+.f64 x y) 2) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 (*.f64 x y) (+.f64 y (+.f64 x (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 y (+.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 (*.f64 x y) (+.f64 y (+.f64 x (*.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 y (+.f64 x (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 y (*.f64 x y)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 y (*.f64 x y)) (-.f64 y (*.f64 x y))) (*.f64 x (-.f64 y (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (+.f64 x y) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (+.f64 x y) (*.f64 x (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 y (*.f64 x y)) (-.f64 y (*.f64 x y)))) (-.f64 x (-.f64 y (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (+.f64 x y) (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y (-.f64 x (*.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y (-.f64 x (*.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 y (-.f64 x (*.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y (-.f64 x (*.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 y (-.f64 x (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 y (-.f64 x (*.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 y (-.f64 x (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 y (-.f64 x (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 y (-.f64 x (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (-.f64 y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x y) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 y (*.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 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (*.f64 x (neg.f64 y))))))) |
| 1× | egg-herbie |
| 252× | fma-def_binary64 |
| 185× | fma-neg_binary64 |
| 41× | cancel-sign-sub-inv_binary64 |
| 33× | sub-neg_binary64 |
| 32× | distribute-rgt-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 210 |
| 1 | 45 | 174 |
| 2 | 86 | 174 |
| 3 | 166 | 174 |
| 4 | 243 | 174 |
| 5 | 349 | 174 |
| 6 | 521 | 174 |
| 7 | 788 | 174 |
| 8 | 919 | 174 |
| 9 | 957 | 174 |
| 10 | 961 | 174 |
| 1× | saturated |
| Inputs |
|---|
y |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(*.f64 (-.f64 1 y) x) |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
(+.f64 y (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(+.f64 y (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(+.f64 y (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
x |
(+.f64 (*.f64 y (-.f64 1 x)) x) |
(+.f64 (*.f64 y (-.f64 1 x)) x) |
(+.f64 (*.f64 y (-.f64 1 x)) x) |
(*.f64 y (-.f64 1 x)) |
(+.f64 (*.f64 y (-.f64 1 x)) x) |
(+.f64 (*.f64 y (-.f64 1 x)) x) |
(+.f64 (*.f64 y (-.f64 1 x)) x) |
(*.f64 y (+.f64 1 (*.f64 -1 x))) |
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x) |
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x) |
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x) |
| Outputs |
|---|
y |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(+.f64 y (*.f64 x (-.f64 1 y))) |
(fma.f64 x (-.f64 1 y) y) |
(fma.f64 y (-.f64 1 x) x) |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(+.f64 y (*.f64 x (-.f64 1 y))) |
(fma.f64 x (-.f64 1 y) y) |
(fma.f64 y (-.f64 1 x) x) |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(+.f64 y (*.f64 x (-.f64 1 y))) |
(fma.f64 x (-.f64 1 y) y) |
(fma.f64 y (-.f64 1 x) x) |
(*.f64 (-.f64 1 y) x) |
(*.f64 x (-.f64 1 y)) |
(-.f64 x (*.f64 y x)) |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(+.f64 y (*.f64 x (-.f64 1 y))) |
(fma.f64 x (-.f64 1 y) y) |
(fma.f64 y (-.f64 1 x) x) |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(+.f64 y (*.f64 x (-.f64 1 y))) |
(fma.f64 x (-.f64 1 y) y) |
(fma.f64 y (-.f64 1 x) x) |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(+.f64 y (*.f64 x (-.f64 1 y))) |
(fma.f64 x (-.f64 1 y) y) |
(fma.f64 y (-.f64 1 x) x) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
(*.f64 x (-.f64 1 y)) |
(-.f64 x (*.f64 y x)) |
(+.f64 y (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(+.f64 y (*.f64 x (-.f64 1 y))) |
(fma.f64 x (-.f64 1 y) y) |
(fma.f64 y (-.f64 1 x) x) |
(+.f64 y (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(+.f64 y (*.f64 x (-.f64 1 y))) |
(fma.f64 x (-.f64 1 y) y) |
(fma.f64 y (-.f64 1 x) x) |
(+.f64 y (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(+.f64 y (*.f64 x (-.f64 1 y))) |
(fma.f64 x (-.f64 1 y) y) |
(fma.f64 y (-.f64 1 x) x) |
x |
(+.f64 (*.f64 y (-.f64 1 x)) x) |
(+.f64 y (*.f64 x (-.f64 1 y))) |
(fma.f64 x (-.f64 1 y) y) |
(fma.f64 y (-.f64 1 x) x) |
(+.f64 (*.f64 y (-.f64 1 x)) x) |
(+.f64 y (*.f64 x (-.f64 1 y))) |
(fma.f64 x (-.f64 1 y) y) |
(fma.f64 y (-.f64 1 x) x) |
(+.f64 (*.f64 y (-.f64 1 x)) x) |
(+.f64 y (*.f64 x (-.f64 1 y))) |
(fma.f64 x (-.f64 1 y) y) |
(fma.f64 y (-.f64 1 x) x) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(fma.f64 x (neg.f64 y) y) |
(+.f64 (*.f64 y (-.f64 1 x)) x) |
(+.f64 y (*.f64 x (-.f64 1 y))) |
(fma.f64 x (-.f64 1 y) y) |
(fma.f64 y (-.f64 1 x) x) |
(+.f64 (*.f64 y (-.f64 1 x)) x) |
(+.f64 y (*.f64 x (-.f64 1 y))) |
(fma.f64 x (-.f64 1 y) y) |
(fma.f64 y (-.f64 1 x) x) |
(+.f64 (*.f64 y (-.f64 1 x)) x) |
(+.f64 y (*.f64 x (-.f64 1 y))) |
(fma.f64 x (-.f64 1 y) y) |
(fma.f64 y (-.f64 1 x) x) |
(*.f64 y (+.f64 1 (*.f64 -1 x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(fma.f64 x (neg.f64 y) y) |
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x) |
(+.f64 y (*.f64 x (-.f64 1 y))) |
(fma.f64 x (-.f64 1 y) y) |
(fma.f64 y (-.f64 1 x) x) |
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x) |
(+.f64 y (*.f64 x (-.f64 1 y))) |
(fma.f64 x (-.f64 1 y) y) |
(fma.f64 y (-.f64 1 x) x) |
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x) |
(+.f64 y (*.f64 x (-.f64 1 y))) |
(fma.f64 x (-.f64 1 y) y) |
(fma.f64 y (-.f64 1 x) x) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 x (-.f64 1 y) y) |
Compiled 14 to 8 computations (42.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (fma.f64 x (-.f64 1 y) y) |
| 0.0ms | x | @ | -inf | (fma.f64 x (-.f64 1 y) y) |
| 0.0ms | y | @ | -inf | (fma.f64 x (-.f64 1 y) y) |
| 0.0ms | y | @ | inf | (fma.f64 x (-.f64 1 y) y) |
| 0.0ms | y | @ | 0 | (fma.f64 x (-.f64 1 y) y) |
| 1× | batch-egg-rewrite |
| 632× | pow1_binary64 |
| 586× | add-log-exp_binary64 |
| 586× | log1p-expm1-u_binary64 |
| 586× | expm1-log1p-u_binary64 |
| 574× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 123 | 8 |
| 2 | 1523 | 8 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 x (-.f64 1 y) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (-.f64 1 y)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (-.f64 1 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (-.f64 1 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (-.f64 1 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (-.f64 1 y) y)) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1 y) y)) 2) (cbrt.f64 (fma.f64 x (-.f64 1 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (-.f64 1 y) y)) (sqrt.f64 (fma.f64 x (-.f64 1 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 3) (pow.f64 y 3)) (+.f64 (*.f64 (*.f64 x (-.f64 1 y)) (*.f64 x (-.f64 1 y))) (-.f64 (*.f64 y y) (*.f64 (*.f64 x (-.f64 1 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (-.f64 1 y)) (*.f64 x (-.f64 1 y))) (*.f64 y y)) (-.f64 (*.f64 x (-.f64 1 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (-.f64 1 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (-.f64 1 y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1 y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1 y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1 y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (-.f64 1 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1 y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (-.f64 1 y) y))))))) |
| 1× | egg-herbie |
| 241× | fma-def_binary64 |
| 190× | fma-neg_binary64 |
| 49× | distribute-rgt-in_binary64 |
| 41× | unsub-neg_binary64 |
| 35× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 214 |
| 1 | 43 | 174 |
| 2 | 106 | 174 |
| 3 | 226 | 174 |
| 4 | 378 | 174 |
| 5 | 712 | 174 |
| 6 | 952 | 174 |
| 7 | 1021 | 174 |
| 8 | 1022 | 174 |
| 1× | saturated |
| Inputs |
|---|
y |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(*.f64 (-.f64 1 y) x) |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(*.f64 (-.f64 1 y) x) |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
x |
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x) |
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x) |
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x) |
(*.f64 y (+.f64 1 (*.f64 -1 x))) |
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x) |
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x) |
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x) |
(*.f64 -1 (*.f64 y (-.f64 x 1))) |
(+.f64 (*.f64 -1 (*.f64 y (-.f64 x 1))) x) |
(+.f64 (*.f64 -1 (*.f64 y (-.f64 x 1))) x) |
(+.f64 (*.f64 -1 (*.f64 y (-.f64 x 1))) x) |
| Outputs |
|---|
y |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(fma.f64 (-.f64 1 y) x y) |
(fma.f64 y (-.f64 1 x) x) |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(fma.f64 (-.f64 1 y) x y) |
(fma.f64 y (-.f64 1 x) x) |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(fma.f64 (-.f64 1 y) x y) |
(fma.f64 y (-.f64 1 x) x) |
(*.f64 (-.f64 1 y) x) |
(-.f64 x (*.f64 y x)) |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(fma.f64 (-.f64 1 y) x y) |
(fma.f64 y (-.f64 1 x) x) |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(fma.f64 (-.f64 1 y) x y) |
(fma.f64 y (-.f64 1 x) x) |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(fma.f64 (-.f64 1 y) x y) |
(fma.f64 y (-.f64 1 x) x) |
(*.f64 (-.f64 1 y) x) |
(-.f64 x (*.f64 y x)) |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(fma.f64 (-.f64 1 y) x y) |
(fma.f64 y (-.f64 1 x) x) |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(fma.f64 (-.f64 1 y) x y) |
(fma.f64 y (-.f64 1 x) x) |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(fma.f64 (-.f64 1 y) x y) |
(fma.f64 y (-.f64 1 x) x) |
x |
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x) |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(fma.f64 (-.f64 1 y) x y) |
(fma.f64 y (-.f64 1 x) x) |
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x) |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(fma.f64 (-.f64 1 y) x y) |
(fma.f64 y (-.f64 1 x) x) |
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x) |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(fma.f64 (-.f64 1 y) x y) |
(fma.f64 y (-.f64 1 x) x) |
(*.f64 y (+.f64 1 (*.f64 -1 x))) |
(*.f64 y (+.f64 1 (neg.f64 x))) |
(*.f64 y (-.f64 1 x)) |
(fma.f64 x (neg.f64 y) y) |
(-.f64 y (*.f64 y x)) |
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x) |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(fma.f64 (-.f64 1 y) x y) |
(fma.f64 y (-.f64 1 x) x) |
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x) |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(fma.f64 (-.f64 1 y) x y) |
(fma.f64 y (-.f64 1 x) x) |
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x) |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(fma.f64 (-.f64 1 y) x y) |
(fma.f64 y (-.f64 1 x) x) |
(*.f64 -1 (*.f64 y (-.f64 x 1))) |
(*.f64 y (+.f64 1 (neg.f64 x))) |
(*.f64 y (-.f64 1 x)) |
(fma.f64 x (neg.f64 y) y) |
(-.f64 y (*.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 y (-.f64 x 1))) x) |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(fma.f64 (-.f64 1 y) x y) |
(fma.f64 y (-.f64 1 x) x) |
(+.f64 (*.f64 -1 (*.f64 y (-.f64 x 1))) x) |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(fma.f64 (-.f64 1 y) x y) |
(fma.f64 y (-.f64 1 x) x) |
(+.f64 (*.f64 -1 (*.f64 y (-.f64 x 1))) x) |
(+.f64 y (*.f64 (-.f64 1 y) x)) |
(fma.f64 (-.f64 1 y) x y) |
(fma.f64 y (-.f64 1 x) x) |
Compiled 1113 to 430 computations (61.4% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 87 | 5 | 92 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 89 | 5 | 94 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (+.f64 (-.f64 y (*.f64 x y)) x) |
| ▶ | 25.1b | (*.f64 y (-.f64 1 x)) |
| 39.0b | x | |
| 34.4b | y | |
| ▶ | 29.0b | (-.f64 x (*.f64 y x)) |
Compiled 29 to 18 computations (37.9% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 y (-.f64 1 x)) |
Compiled 13 to 8 computations (38.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (*.f64 y (-.f64 1 x)) |
| 1.0ms | y | @ | 0 | (*.f64 y (-.f64 1 x)) |
| 0.0ms | y | @ | -inf | (*.f64 y (-.f64 1 x)) |
| 0.0ms | x | @ | 0 | (*.f64 y (-.f64 1 x)) |
| 0.0ms | x | @ | -inf | (*.f64 y (-.f64 1 x)) |
| 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 y (-.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) y) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) y) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (-.f64 1 x)))))))) |
| 1× | egg-herbie |
| 133× | fma-def_binary64 |
| 90× | fma-neg_binary64 |
| 22× | cancel-sign-sub-inv_binary64 |
| 21× | associate-*r*_binary64 |
| 17× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 94 |
| 1 | 13 | 76 |
| 2 | 30 | 76 |
| 3 | 46 | 76 |
| 4 | 64 | 76 |
| 5 | 128 | 76 |
| 6 | 253 | 76 |
| 7 | 359 | 76 |
| 8 | 457 | 76 |
| 9 | 533 | 76 |
| 1× | saturated |
| Inputs |
|---|
y |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
| Outputs |
|---|
y |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (neg.f64 (*.f64 y x))) |
(-.f64 y (*.f64 y x)) |
(fma.f64 y (neg.f64 x) y) |
(*.f64 y (-.f64 1 x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (neg.f64 (*.f64 y x))) |
(-.f64 y (*.f64 y x)) |
(fma.f64 y (neg.f64 x) y) |
(*.f64 y (-.f64 1 x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (neg.f64 (*.f64 y x))) |
(-.f64 y (*.f64 y x)) |
(fma.f64 y (neg.f64 x) y) |
(*.f64 y (-.f64 1 x)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 y (neg.f64 x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (neg.f64 (*.f64 y x))) |
(-.f64 y (*.f64 y x)) |
(fma.f64 y (neg.f64 x) y) |
(*.f64 y (-.f64 1 x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (neg.f64 (*.f64 y x))) |
(-.f64 y (*.f64 y x)) |
(fma.f64 y (neg.f64 x) y) |
(*.f64 y (-.f64 1 x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (neg.f64 (*.f64 y x))) |
(-.f64 y (*.f64 y x)) |
(fma.f64 y (neg.f64 x) y) |
(*.f64 y (-.f64 1 x)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 y (neg.f64 x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (neg.f64 (*.f64 y x))) |
(-.f64 y (*.f64 y x)) |
(fma.f64 y (neg.f64 x) y) |
(*.f64 y (-.f64 1 x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (neg.f64 (*.f64 y x))) |
(-.f64 y (*.f64 y x)) |
(fma.f64 y (neg.f64 x) y) |
(*.f64 y (-.f64 1 x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (neg.f64 (*.f64 y x))) |
(-.f64 y (*.f64 y x)) |
(fma.f64 y (neg.f64 x) y) |
(*.f64 y (-.f64 1 x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 y (*.f64 x y)) |
Compiled 19 to 5 computations (73.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (-.f64 y (*.f64 x y)) |
| 0.0ms | y | @ | inf | (-.f64 y (*.f64 x y)) |
| 0.0ms | y | @ | -inf | (-.f64 y (*.f64 x y)) |
| 0.0ms | x | @ | -inf | (-.f64 y (*.f64 x y)) |
| 0.0ms | x | @ | 0 | (-.f64 y (*.f64 x y)) |
| 1× | batch-egg-rewrite |
| 651× | pow1_binary64 |
| 606× | add-log-exp_binary64 |
| 606× | log1p-expm1-u_binary64 |
| 606× | expm1-log1p-u_binary64 |
| 593× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 113 | 7 |
| 2 | 1654 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 y (*.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (*.f64 y (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y x)) (fma.f64 (neg.f64 x) y (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y x)) (fma.f64 (neg.f64 y) x (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y x)) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x)) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (neg.f64 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 y (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 y (*.f64 y x))) (pow.f64 (cbrt.f64 (-.f64 y (*.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 y (*.f64 y x))) 2) (cbrt.f64 (-.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 y (*.f64 y x))) (sqrt.f64 (-.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (fma.f64 y y (*.f64 (*.f64 y x) (+.f64 y (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (+.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y y (*.f64 (*.f64 y x) (+.f64 y (*.f64 y x)))) (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y (*.f64 y x)) (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 y y (*.f64 (*.f64 y x) (+.f64 y (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) 2)) (+.f64 y (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 y x) (+.f64 y (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) 2))) (neg.f64 (+.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 y (neg.f64 x)) 3)) (+.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 y (*.f64 y (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 y (*.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 y (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 y (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 y (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 y (*.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 y (*.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 y (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (neg.f64 x))))))) |
| 1× | egg-herbie |
| 124× | fma-def_binary64 |
| 69× | fma-neg_binary64 |
| 20× | cancel-sign-sub-inv_binary64 |
| 18× | associate-*r*_binary64 |
| 18× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 160 |
| 1 | 33 | 160 |
| 2 | 51 | 160 |
| 3 | 88 | 160 |
| 4 | 122 | 160 |
| 5 | 201 | 160 |
| 6 | 341 | 160 |
| 7 | 419 | 160 |
| 8 | 489 | 160 |
| 9 | 495 | 160 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (+.f64 1 (*.f64 -1 x))) |
(*.f64 y (+.f64 1 (*.f64 -1 x))) |
(*.f64 y (+.f64 1 (*.f64 -1 x))) |
(*.f64 y (+.f64 1 (*.f64 -1 x))) |
y |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
| Outputs |
|---|
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (+.f64 1 (*.f64 -1 x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (+.f64 1 (*.f64 -1 x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (+.f64 1 (*.f64 -1 x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (+.f64 1 (*.f64 -1 x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
y |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
Compiled 12 to 4 computations (66.7% saved)
Compiled 796 to 315 computations (60.4% saved)
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 66 | 2 | 68 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 66 | 7 | 73 |
| Status | Error | Program |
|---|---|---|
| 34.4b | y | |
| ▶ | 52.7b | (*.f64 y (neg.f64 x)) |
| ✓ | 0.0b | (+.f64 (-.f64 y (*.f64 x y)) x) |
| ✓ | 25.1b | (*.f64 y (-.f64 1 x)) |
| 39.0b | x | |
| ▶ | 10.0b | (+.f64 y x) |
| ✓ | 29.0b | (-.f64 x (*.f64 y x)) |
Compiled 40 to 25 computations (37.5% saved)
Compiled 10 to 4 computations (60% saved)
Compiled 7 to 3 computations (57.1% saved)
Compiled 2 to 2 computations (0% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 0 | 7 | 7 |
| Status | Error | Program |
|---|---|---|
| 34.4b | y | |
| ✓ | 52.7b | (*.f64 y (neg.f64 x)) |
| ✓ | 0.0b | (+.f64 (-.f64 y (*.f64 x y)) x) |
| ✓ | 25.1b | (*.f64 y (-.f64 1 x)) |
| 39.0b | x | |
| ✓ | 10.0b | (+.f64 y x) |
| ✓ | 29.0b | (-.f64 x (*.f64 y x)) |
Compiled 40 to 25 computations (37.5% saved)
Compiled 2 to 2 computations (0% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 5 | 5 |
| Total | 0 | 7 | 7 |
| Status | Error | Program |
|---|---|---|
| 34.4b | y | |
| ✓ | 52.7b | (*.f64 y (neg.f64 x)) |
| ✓ | 0.0b | (+.f64 (-.f64 y (*.f64 x y)) x) |
| ✓ | 25.1b | (*.f64 y (-.f64 1 x)) |
| 39.0b | x | |
| ✓ | 10.0b | (+.f64 y x) |
| ✓ | 29.0b | (-.f64 x (*.f64 y x)) |
Compiled 40 to 25 computations (37.5% saved)
| Inputs |
|---|
x |
y |
(+.f64 y x) |
(*.f64 y (neg.f64 x)) |
(*.f64 y (-.f64 1 x)) |
(-.f64 x (*.f64 y x)) |
(+.f64 (-.f64 y (*.f64 x y)) x) |
(-.f64 (+.f64 x y) (*.f64 x y)) |
(fma.f64 x (-.f64 1 y) y) |
| Outputs |
|---|
(+.f64 (-.f64 y (*.f64 x y)) x) |
3 calls:
| 6.0ms | x |
| 6.0ms | y |
| 6.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | (-.f64 (+.f64 x y) (*.f64 x y)) |
Compiled 56 to 27 computations (51.8% saved)
| Inputs |
|---|
x |
y |
(+.f64 y x) |
(*.f64 y (neg.f64 x)) |
(*.f64 y (-.f64 1 x)) |
(-.f64 x (*.f64 y x)) |
| Outputs |
|---|
(-.f64 x (*.f64 y x)) |
(+.f64 y x) |
(*.f64 y (-.f64 1 x)) |
2 calls:
| 14.0ms | x |
| 13.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 3 | x |
| 0.4b | 3 | y |
Compiled 27 to 14 computations (48.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 32.0ms | 8.724427047837277e-120 | 7.072210246263904e-119 |
| 27.0ms | -1.459491780447495e+19 | -638855441284.8813 |
Compiled 14 to 9 computations (35.7% saved)
| Inputs |
|---|
x |
y |
(+.f64 y x) |
(*.f64 y (neg.f64 x)) |
(*.f64 y (-.f64 1 x)) |
| Outputs |
|---|
(*.f64 y (neg.f64 x)) |
(+.f64 y x) |
(*.f64 y (-.f64 1 x)) |
2 calls:
| 35.0ms | x |
| 30.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 6.3b | 4 | x |
| 0.8b | 3 | y |
Compiled 22 to 12 computations (45.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 1.1235350116764837e-6 | 0.1592236964933396 |
| 26.0ms | -127515.30635615981 | -1.1630617417709842e-6 |
Compiled 14 to 9 computations (35.7% saved)
| Inputs |
|---|
x |
y |
(+.f64 y x) |
(*.f64 y (neg.f64 x)) |
| Outputs |
|---|
(+.f64 y x) |
(*.f64 y (neg.f64 x)) |
(+.f64 y x) |
(*.f64 y (neg.f64 x)) |
2 calls:
| 18.0ms | x |
| 8.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 6.5b | 4 | x |
| 8.5b | 2 | y |
Compiled 17 to 9 computations (47.1% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 3.5793913177223256e-9 | 1230.0954341248223 |
| 29.0ms | -3.51142220532421e+35 | -4.510852121393562e+34 |
| 197.0ms | -2.7563686622042707e+44 | -8.1597843825864e+42 |
Compiled 105 to 72 computations (31.4% saved)
| Inputs |
|---|
x |
y |
(+.f64 y x) |
| Outputs |
|---|
(+.f64 y x) |
2 calls:
| 8.0ms | x |
| 7.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 10.0b | 1 | x |
| 10.0b | 1 | y |
Compiled 13 to 7 computations (46.2% saved)
Total -47.6b remaining (-328.9%)
Threshold costs -47.6b (-328.9%)
| Inputs |
|---|
x |
y |
| Outputs |
|---|
x |
y |
x |
y |
2 calls:
| 31.0ms | x |
| 30.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 14.5b | 4 | x |
| 16.8b | 4 | y |
Compiled 10 to 6 computations (40% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 29.0ms | -1.4503395930784335e-127 | -6.100040064806213e-128 |
| 28.0ms | -3.4145480434897896e-107 | -6.649075276044056e-114 |
| 29.0ms | -1.9230384576028763e-76 | -1.5247867630577464e-83 |
Compiled 14 to 9 computations (35.7% saved)
| 1× | egg-herbie |
| 8× | +-commutative_binary64 |
| 6× | *-commutative_binary64 |
| 6× | sub-neg_binary64 |
| 3× | cancel-sign-sub-inv_binary64 |
| 3× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 134 |
| 1 | 66 | 134 |
| 2 | 77 | 134 |
| 3 | 82 | 134 |
| 4 | 84 | 134 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (-.f64 y (*.f64 x y)) x) |
(if (<=.f64 x -14594917804474949632) (-.f64 x (*.f64 y x)) (if (<=.f64 x 3170625712830067/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328) (+.f64 y x) (*.f64 y (-.f64 1 x)))) |
(if (<=.f64 y -8762785128626037/68719476736) (*.f64 y (neg.f64 x)) (if (<=.f64 y 2652872040735791/2361183241434822606848) (+.f64 y x) (*.f64 y (-.f64 1 x)))) |
(if (<=.f64 x -8200000000000000089526335121011955789201408) (+.f64 y x) (if (<=.f64 x -351142220532421009542385205686304768) (*.f64 y (neg.f64 x)) (if (<=.f64 x 2163609291249475/604462909807314587353088) (+.f64 y x) (*.f64 y (neg.f64 x))))) |
(+.f64 y x) |
(if (<=.f64 x -6267677635218943/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016) x (if (<=.f64 x -5643018412174977/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064) y (if (<=.f64 x -3537184001686317/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392) x y))) |
x |
| Outputs |
|---|
(+.f64 (-.f64 y (*.f64 x y)) x) |
(+.f64 x (-.f64 y (*.f64 y x))) |
(if (<=.f64 x -14594917804474949632) (-.f64 x (*.f64 y x)) (if (<=.f64 x 3170625712830067/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328) (+.f64 y x) (*.f64 y (-.f64 1 x)))) |
(if (<=.f64 y -8762785128626037/68719476736) (*.f64 y (neg.f64 x)) (if (<=.f64 y 2652872040735791/2361183241434822606848) (+.f64 y x) (*.f64 y (-.f64 1 x)))) |
(if (<=.f64 x -8200000000000000089526335121011955789201408) (+.f64 y x) (if (<=.f64 x -351142220532421009542385205686304768) (*.f64 y (neg.f64 x)) (if (<=.f64 x 2163609291249475/604462909807314587353088) (+.f64 y x) (*.f64 y (neg.f64 x))))) |
(+.f64 y x) |
(if (<=.f64 x -6267677635218943/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016) x (if (<=.f64 x -5643018412174977/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064) y (if (<=.f64 x -3537184001686317/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392) x y))) |
x |
Compiled 108 to 63 computations (41.7% saved)
(sort x y)
Compiled 114 to 55 computations (51.8% saved)
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