Time bar (total: 2.0s)
| 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 |
| 51.6% | 50% | 46.8% | 0.1% | 3.1% | 0% | 0% | 7 |
| 62.3% | 59.3% | 35.9% | 0.1% | 4.7% | 0% | 0% | 8 |
| 72.3% | 67.1% | 25.8% | 0.1% | 7% | 0% | 0% | 9 |
| 79.1% | 72.6% | 19.1% | 0.1% | 8.2% | 0% | 0% | 10 |
| 85.1% | 76.9% | 13.5% | 0.1% | 9.6% | 0% | 0% | 11 |
| 89% | 79.8% | 9.9% | 0.1% | 10.2% | 0% | 0% | 12 |
Compiled 10 to 7 computations (30% saved)
| 899.0ms | 8253× | body | 256 | valid |
| 20.0ms | 207× | body | 256 | infinite |
| 1.0ms | 2× | body | 1024 | valid |
| 0.0ms | 1× | body | 512 | valid |
| 2× | egg-herbie |
| 650× | fma-def_binary64 |
| 317× | fma-neg_binary64 |
| 120× | cancel-sign-sub-inv_binary64 |
| 74× | distribute-rgt-in_binary64 |
| 62× | associate--r+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 20 |
| 1 | 22 | 20 |
| 2 | 45 | 16 |
| 3 | 123 | 16 |
| 4 | 265 | 16 |
| 5 | 546 | 16 |
| 6 | 1093 | 16 |
| 7 | 1808 | 16 |
| 8 | 1980 | 16 |
| 9 | 1998 | 16 |
| 10 | 1998 | 16 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(-.f64 (*.f64 (+.f64 x 1) y) x) |
(-.f64 (*.f64 (+.f64 y 1) x) y) |
| Outputs |
|---|
(-.f64 (*.f64 (+.f64 x 1) y) x) |
(-.f64 (fma.f64 x y y) x) |
(-.f64 (*.f64 (+.f64 y 1) x) y) |
(-.f64 (*.f64 x (+.f64 1 y)) y) |
(fma.f64 x (+.f64 1 y) (neg.f64 y)) |
(-.f64 (fma.f64 x y x) y) |
(fma.f64 y (-.f64 x 1) x) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
| 406× | fma-def_binary64 |
| 257× | fma-neg_binary64 |
| 73× | cancel-sign-sub-inv_binary64 |
| 42× | distribute-rgt-in_binary64 |
| 37× | associate--r+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 14 | 10 |
| 2 | 27 | 8 |
| 3 | 66 | 8 |
| 4 | 132 | 8 |
| 5 | 261 | 8 |
| 6 | 490 | 8 |
| 7 | 921 | 8 |
| 8 | 1250 | 8 |
| 9 | 1299 | 8 |
| 10 | 1308 | 8 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (*.f64 (+.f64 x 1) y) x) |
| Outputs |
|---|
(-.f64 (*.f64 (+.f64 x 1) y) x) |
(-.f64 (fma.f64 x y y) x) |
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 | (-.f64 (fma.f64 x y y) x) |
| ▶ | 0.0b | (-.f64 (*.f64 (+.f64 x 1) y) x) |
Compiled 17 to 10 computations (41.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 (+.f64 x 1) y) x) |
| ✓ | 0.0b | (*.f64 (+.f64 x 1) y) |
Compiled 20 to 12 computations (40% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 (+.f64 x 1) y) |
| 1.0ms | y | @ | inf | (*.f64 (+.f64 x 1) y) |
| 0.0ms | x | @ | 0 | (*.f64 (+.f64 x 1) y) |
| 0.0ms | x | @ | -inf | (-.f64 (*.f64 (+.f64 x 1) y) x) |
| 0.0ms | x | @ | inf | (*.f64 (+.f64 x 1) y) |
| 1× | batch-egg-rewrite |
| 840× | pow1_binary64 |
| 781× | log1p-expm1-u_binary64 |
| 781× | expm1-log1p-u_binary64 |
| 780× | add-log-exp_binary64 |
| 765× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 153 | 17 |
| 2 | 2112 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 x 1) y) |
(-.f64 (*.f64 (+.f64 x 1) y) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 y (*.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) y) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) y) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 y (*.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 y (*.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 y (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 y (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 x) (log.f64 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (*.f64 x y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (*.f64 x y)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 y (*.f64 x y)) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 y (*.f64 x y)) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 y (*.f64 x y)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (+.f64 y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (+.f64 y (*.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 y (*.f64 x y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) (pow.f64 (cbrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) 2) (cbrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) (sqrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x x)) (/.f64 1 (fma.f64 (+.f64 x 1) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 y (*.f64 x y))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y (*.f64 x y))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x))) (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (+.f64 x 1) y x) (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x x)) (fma.f64 (+.f64 x 1) y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x x))) (neg.f64 (fma.f64 (+.f64 x 1) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (+.f64 y (*.f64 x y)) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (+.f64 y (*.f64 x y)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (+.f64 y (*.f64 x y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (+.f64 y (*.f64 x y)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (+.f64 y (*.f64 x y)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (+.f64 y (*.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (+.f64 y (*.f64 x y)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (+.f64 y (*.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (+.f64 y (*.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (+.f64 y (*.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 y (*.f64 x y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) y (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (+.f64 x 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 y (*.f64 x y))) 2) (cbrt.f64 (+.f64 y (*.f64 x y))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 y (*.f64 x y))) (sqrt.f64 (+.f64 y (*.f64 x y))) (neg.f64 x)))))) |
| 1× | egg-herbie |
| 290× | fma-def_binary64 |
| 221× | fma-neg_binary64 |
| 69× | cancel-sign-sub-inv_binary64 |
| 37× | distribute-rgt-in_binary64 |
| 35× | unsub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 286 |
| 1 | 44 | 286 |
| 2 | 90 | 286 |
| 3 | 193 | 286 |
| 4 | 422 | 286 |
| 5 | 841 | 286 |
| 6 | 1116 | 286 |
| 7 | 1145 | 286 |
| 8 | 1148 | 286 |
| 1× | saturated |
| Inputs |
|---|
y |
(+.f64 (*.f64 y x) y) |
(+.f64 (*.f64 y x) y) |
(+.f64 (*.f64 y x) y) |
(*.f64 y x) |
(+.f64 y (*.f64 y x)) |
(+.f64 y (*.f64 y x)) |
(+.f64 y (*.f64 y x)) |
(*.f64 y x) |
(+.f64 y (*.f64 y x)) |
(+.f64 y (*.f64 y x)) |
(+.f64 y (*.f64 y x)) |
(*.f64 (+.f64 1 x) y) |
(*.f64 (+.f64 1 x) y) |
(*.f64 (+.f64 1 x) y) |
(*.f64 (+.f64 1 x) y) |
(*.f64 (+.f64 1 x) y) |
(*.f64 (+.f64 1 x) y) |
(*.f64 (+.f64 1 x) y) |
(*.f64 (+.f64 1 x) y) |
(*.f64 (+.f64 1 x) y) |
(*.f64 (+.f64 1 x) y) |
(*.f64 (+.f64 1 x) y) |
(*.f64 (+.f64 1 x) y) |
y |
(+.f64 (*.f64 (-.f64 y 1) x) y) |
(+.f64 (*.f64 (-.f64 y 1) x) y) |
(+.f64 (*.f64 (-.f64 y 1) x) y) |
(*.f64 (-.f64 y 1) x) |
(+.f64 (*.f64 (-.f64 y 1) x) y) |
(+.f64 (*.f64 (-.f64 y 1) x) y) |
(+.f64 (*.f64 (-.f64 y 1) x) y) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) |
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) |
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) |
(*.f64 -1 x) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(*.f64 (+.f64 1 x) y) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(*.f64 (+.f64 1 x) y) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
| Outputs |
|---|
y |
(+.f64 (*.f64 y x) y) |
(fma.f64 y x y) |
(+.f64 (*.f64 y x) y) |
(fma.f64 y x y) |
(+.f64 (*.f64 y x) y) |
(fma.f64 y x y) |
(*.f64 y x) |
(+.f64 y (*.f64 y x)) |
(fma.f64 y x y) |
(+.f64 y (*.f64 y x)) |
(fma.f64 y x y) |
(+.f64 y (*.f64 y x)) |
(fma.f64 y x y) |
(*.f64 y x) |
(+.f64 y (*.f64 y x)) |
(fma.f64 y x y) |
(+.f64 y (*.f64 y x)) |
(fma.f64 y x y) |
(+.f64 y (*.f64 y x)) |
(fma.f64 y x y) |
(*.f64 (+.f64 1 x) y) |
(fma.f64 y x y) |
(*.f64 (+.f64 1 x) y) |
(fma.f64 y x y) |
(*.f64 (+.f64 1 x) y) |
(fma.f64 y x y) |
(*.f64 (+.f64 1 x) y) |
(fma.f64 y x y) |
(*.f64 (+.f64 1 x) y) |
(fma.f64 y x y) |
(*.f64 (+.f64 1 x) y) |
(fma.f64 y x y) |
(*.f64 (+.f64 1 x) y) |
(fma.f64 y x y) |
(*.f64 (+.f64 1 x) y) |
(fma.f64 y x y) |
(*.f64 (+.f64 1 x) y) |
(fma.f64 y x y) |
(*.f64 (+.f64 1 x) y) |
(fma.f64 y x y) |
(*.f64 (+.f64 1 x) y) |
(fma.f64 y x y) |
(*.f64 (+.f64 1 x) y) |
(fma.f64 y x y) |
y |
(+.f64 (*.f64 (-.f64 y 1) x) y) |
(fma.f64 (+.f64 y -1) x y) |
(fma.f64 x (+.f64 y -1) y) |
(-.f64 (fma.f64 y x y) x) |
(fma.f64 y x (-.f64 y x)) |
(+.f64 (*.f64 (-.f64 y 1) x) y) |
(fma.f64 (+.f64 y -1) x y) |
(fma.f64 x (+.f64 y -1) y) |
(-.f64 (fma.f64 y x y) x) |
(fma.f64 y x (-.f64 y x)) |
(+.f64 (*.f64 (-.f64 y 1) x) y) |
(fma.f64 (+.f64 y -1) x y) |
(fma.f64 x (+.f64 y -1) y) |
(-.f64 (fma.f64 y x y) x) |
(fma.f64 y x (-.f64 y x)) |
(*.f64 (-.f64 y 1) x) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 y x) x) |
(+.f64 (*.f64 (-.f64 y 1) x) y) |
(fma.f64 (+.f64 y -1) x y) |
(fma.f64 x (+.f64 y -1) y) |
(-.f64 (fma.f64 y x y) x) |
(fma.f64 y x (-.f64 y x)) |
(+.f64 (*.f64 (-.f64 y 1) x) y) |
(fma.f64 (+.f64 y -1) x y) |
(fma.f64 x (+.f64 y -1) y) |
(-.f64 (fma.f64 y x y) x) |
(fma.f64 y x (-.f64 y x)) |
(+.f64 (*.f64 (-.f64 y 1) x) y) |
(fma.f64 (+.f64 y -1) x y) |
(fma.f64 x (+.f64 y -1) y) |
(-.f64 (fma.f64 y x y) x) |
(fma.f64 y x (-.f64 y x)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 y x) x) |
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) |
(fma.f64 (+.f64 y -1) x y) |
(fma.f64 x (+.f64 y -1) y) |
(-.f64 (fma.f64 y x y) x) |
(fma.f64 y x (-.f64 y x)) |
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) |
(fma.f64 (+.f64 y -1) x y) |
(fma.f64 x (+.f64 y -1) y) |
(-.f64 (fma.f64 y x y) x) |
(fma.f64 y x (-.f64 y x)) |
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) |
(fma.f64 (+.f64 y -1) x y) |
(fma.f64 x (+.f64 y -1) y) |
(-.f64 (fma.f64 y x y) x) |
(fma.f64 y x (-.f64 y x)) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(fma.f64 (+.f64 y -1) x y) |
(fma.f64 x (+.f64 y -1) y) |
(-.f64 (fma.f64 y x y) x) |
(fma.f64 y x (-.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(fma.f64 (+.f64 y -1) x y) |
(fma.f64 x (+.f64 y -1) y) |
(-.f64 (fma.f64 y x y) x) |
(fma.f64 y x (-.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(fma.f64 (+.f64 y -1) x y) |
(fma.f64 x (+.f64 y -1) y) |
(-.f64 (fma.f64 y x y) x) |
(fma.f64 y x (-.f64 y x)) |
(*.f64 (+.f64 1 x) y) |
(fma.f64 y x y) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(fma.f64 (+.f64 y -1) x y) |
(fma.f64 x (+.f64 y -1) y) |
(-.f64 (fma.f64 y x y) x) |
(fma.f64 y x (-.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(fma.f64 (+.f64 y -1) x y) |
(fma.f64 x (+.f64 y -1) y) |
(-.f64 (fma.f64 y x y) x) |
(fma.f64 y x (-.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(fma.f64 (+.f64 y -1) x y) |
(fma.f64 x (+.f64 y -1) y) |
(-.f64 (fma.f64 y x y) x) |
(fma.f64 y x (-.f64 y x)) |
(*.f64 (+.f64 1 x) y) |
(fma.f64 y x y) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(fma.f64 (+.f64 y -1) x y) |
(fma.f64 x (+.f64 y -1) y) |
(-.f64 (fma.f64 y x y) x) |
(fma.f64 y x (-.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(fma.f64 (+.f64 y -1) x y) |
(fma.f64 x (+.f64 y -1) y) |
(-.f64 (fma.f64 y x y) x) |
(fma.f64 y x (-.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(fma.f64 (+.f64 y -1) x y) |
(fma.f64 x (+.f64 y -1) y) |
(-.f64 (fma.f64 y x y) x) |
(fma.f64 y x (-.f64 y x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (fma.f64 x y y) x) |
Compiled 14 to 4 computations (71.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | -inf | (-.f64 (fma.f64 x y y) x) |
| 0.0ms | x | @ | -inf | (-.f64 (fma.f64 x y y) x) |
| 0.0ms | x | @ | 0 | (-.f64 (fma.f64 x y y) x) |
| 0.0ms | y | @ | inf | (-.f64 (fma.f64 x y y) x) |
| 0.0ms | y | @ | 0 | (-.f64 (fma.f64 x y y) x) |
| 1× | batch-egg-rewrite |
| 651× | pow1_binary64 |
| 606× | add-log-exp_binary64 |
| 606× | log1p-expm1-u_binary64 |
| 606× | expm1-log1p-u_binary64 |
| 592× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 8 |
| 1 | 111 | 8 |
| 2 | 1583 | 8 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (fma.f64 x y y) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x y y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x y y) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x y y) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x y y) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x y y) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (+.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (fma.f64 x y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 x y y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 x y y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 x y y) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x y y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x y y) x)) 2) (cbrt.f64 (-.f64 (fma.f64 x y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 x y y) x)) (sqrt.f64 (-.f64 (fma.f64 x y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 x y y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x y y) 2) (*.f64 x (+.f64 x (fma.f64 x y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 x y y) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x y y) 2) (*.f64 x (+.f64 x (fma.f64 x y y)))) (-.f64 (pow.f64 (fma.f64 x y y) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (fma.f64 x y y)) (-.f64 (pow.f64 (fma.f64 x y y) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x y y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 x y y) 2) (*.f64 x (+.f64 x (fma.f64 x y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x y y) 2) (*.f64 x x)) (+.f64 x (fma.f64 x y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x y y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x y y) 2) (*.f64 x (+.f64 x (fma.f64 x y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x y y) 2) (*.f64 x x))) (neg.f64 (+.f64 x (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x y y) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (fma.f64 x y y) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (fma.f64 x y y) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x y y) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (fma.f64 x y y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 x y y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 x y y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 x y y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 x y y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 x y y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 x y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 x y y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 x y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 x y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 x y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x y y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y y)) 2) (cbrt.f64 (fma.f64 x y y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 (fma.f64 x y y)) (neg.f64 x)))))) |
| 1× | egg-herbie |
| 185× | fma-neg_binary64 |
| 182× | fma-def_binary64 |
| 44× | unsub-neg_binary64 |
| 43× | distribute-rgt-in_binary64 |
| 40× | cancel-sign-sub-inv_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 176 |
| 1 | 54 | 176 |
| 2 | 132 | 172 |
| 3 | 350 | 172 |
| 4 | 668 | 172 |
| 5 | 931 | 172 |
| 6 | 1004 | 172 |
| 7 | 1008 | 172 |
| 1× | saturated |
| Inputs |
|---|
y |
(+.f64 (*.f64 (-.f64 y 1) x) y) |
(+.f64 (*.f64 (-.f64 y 1) x) y) |
(+.f64 (*.f64 (-.f64 y 1) x) y) |
(*.f64 (-.f64 y 1) x) |
(+.f64 (*.f64 (-.f64 y 1) x) y) |
(+.f64 (*.f64 (-.f64 y 1) x) y) |
(+.f64 (*.f64 (-.f64 y 1) x) y) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) |
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) |
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) |
(*.f64 -1 x) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(*.f64 (+.f64 1 x) y) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)) |
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y))) |
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y))) |
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y))) |
| Outputs |
|---|
y |
(+.f64 (*.f64 (-.f64 y 1) x) y) |
(fma.f64 (+.f64 y -1) x y) |
(fma.f64 y x (-.f64 y x)) |
(+.f64 (*.f64 (-.f64 y 1) x) y) |
(fma.f64 (+.f64 y -1) x y) |
(fma.f64 y x (-.f64 y x)) |
(+.f64 (*.f64 (-.f64 y 1) x) y) |
(fma.f64 (+.f64 y -1) x y) |
(fma.f64 y x (-.f64 y x)) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (+.f64 y -1) x) |
(+.f64 (*.f64 (-.f64 y 1) x) y) |
(fma.f64 (+.f64 y -1) x y) |
(fma.f64 y x (-.f64 y x)) |
(+.f64 (*.f64 (-.f64 y 1) x) y) |
(fma.f64 (+.f64 y -1) x y) |
(fma.f64 y x (-.f64 y x)) |
(+.f64 (*.f64 (-.f64 y 1) x) y) |
(fma.f64 (+.f64 y -1) x y) |
(fma.f64 y x (-.f64 y x)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(*.f64 (+.f64 y -1) x) |
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) |
(fma.f64 (+.f64 y -1) x y) |
(fma.f64 y x (-.f64 y x)) |
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) |
(fma.f64 (+.f64 y -1) x y) |
(fma.f64 y x (-.f64 y x)) |
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) |
(fma.f64 (+.f64 y -1) x y) |
(fma.f64 y x (-.f64 y x)) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(fma.f64 (+.f64 y -1) x y) |
(fma.f64 y x (-.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(fma.f64 (+.f64 y -1) x y) |
(fma.f64 y x (-.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(fma.f64 (+.f64 y -1) x y) |
(fma.f64 y x (-.f64 y x)) |
(*.f64 (+.f64 1 x) y) |
(*.f64 y (+.f64 1 x)) |
(fma.f64 y x y) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(fma.f64 (+.f64 y -1) x y) |
(fma.f64 y x (-.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(fma.f64 (+.f64 y -1) x y) |
(fma.f64 y x (-.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(fma.f64 (+.f64 y -1) x y) |
(fma.f64 y x (-.f64 y x)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)) |
(*.f64 y (+.f64 1 x)) |
(fma.f64 y x y) |
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y))) |
(fma.f64 (+.f64 y -1) x y) |
(fma.f64 y x (-.f64 y x)) |
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y))) |
(fma.f64 (+.f64 y -1) x y) |
(fma.f64 y x (-.f64 y x)) |
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y))) |
(fma.f64 (+.f64 y -1) x y) |
(fma.f64 y x (-.f64 y x)) |
Compiled 1446 to 513 computations (64.5% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 114 | 6 | 120 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 116 | 6 | 122 |
| Status | Error | Program |
|---|---|---|
| ▶ | 11.6b | (-.f64 y x) |
| ▶ | 26.9b | (*.f64 (+.f64 1 x) y) |
| ▶ | 36.8b | (neg.f64 x) |
| ▶ | 26.3b | (*.f64 (-.f64 y 1) x) |
| 37.4b | y | |
| ▶ | 0.0b | (-.f64 (+.f64 (*.f64 y x) y) x) |
Compiled 67 to 44 computations (34.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (+.f64 (*.f64 y x) y) x) |
| ✓ | 0.0b | (+.f64 (*.f64 y x) y) |
Compiled 19 to 5 computations (73.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (+.f64 (*.f64 y x) y) |
| 0.0ms | y | @ | inf | (+.f64 (*.f64 y x) y) |
| 0.0ms | y | @ | -inf | (+.f64 (*.f64 y x) y) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 y x) y) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 y x) y) |
| 1× | batch-egg-rewrite |
| 917× | pow1_binary64 |
| 857× | add-log-exp_binary64 |
| 857× | log1p-expm1-u_binary64 |
| 857× | expm1-log1p-u_binary64 |
| 839× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 143 | 13 |
| 2 | 2279 | 13 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 y x) y) |
(-.f64 (+.f64 (*.f64 y x) y) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 y x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y x y)) (pow.f64 (cbrt.f64 (fma.f64 y x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y x y)) 2) (cbrt.f64 (fma.f64 y x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y x y)) (sqrt.f64 (fma.f64 y x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (-.f64 y (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y y)) (/.f64 1 (-.f64 (*.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (-.f64 y (*.f64 y x)))) (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 y x) y) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (-.f64 y (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)) (+.f64 (*.f64 y y) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y y)) (-.f64 (*.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (-.f64 y (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 y x) y)))))) (#(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 pow.f64 (fma.f64 y x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y x y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y x y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y x y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y x y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y x y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) y))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (-.f64 (*.f64 y x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (+.f64 (*.f64 y x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 (-.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y x y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y x y) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 y x y) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 y x y) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 y x y) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (fma.f64 y x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 y x y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 y x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 y x y) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y x y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y x y) x)) 2) (cbrt.f64 (-.f64 (fma.f64 y x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 y x y) x)) (sqrt.f64 (-.f64 (fma.f64 y x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 y x y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x (+.f64 x (fma.f64 y x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 y x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 y x y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 y x y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x (+.f64 x (fma.f64 y x y)))) (-.f64 (pow.f64 (fma.f64 y x y) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (fma.f64 y x y)) (-.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y x y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x (+.f64 x (fma.f64 y x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x x)) (+.f64 x (fma.f64 y x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y x y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x (+.f64 x (fma.f64 y x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x x))) (neg.f64 (+.f64 x (fma.f64 y x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (-.f64 y x) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (*.f64 y x) (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 y x y) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (fma.f64 y x y) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (fma.f64 y x y) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (-.f64 y x) (-.f64 y x))) (-.f64 (*.f64 y x) (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (fma.f64 y x y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 y x y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 y x y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 y x y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 y x y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 y x y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 y x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 y x y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 y x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 y x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 y x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 y x y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y x y)) 2) (cbrt.f64 (fma.f64 y x y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y x y)) (sqrt.f64 (fma.f64 y x y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (-.f64 y x)))))) |
| 1× | egg-herbie |
| 196× | fma-def_binary64 |
| 177× | fma-neg_binary64 |
| 43× | unsub-neg_binary64 |
| 40× | distribute-rgt-in_binary64 |
| 40× | cancel-sign-sub-inv_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 347 |
| 1 | 58 | 271 |
| 2 | 135 | 271 |
| 3 | 310 | 271 |
| 4 | 629 | 271 |
| 5 | 902 | 271 |
| 6 | 966 | 271 |
| 7 | 970 | 271 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (+.f64 1 x) y) |
(*.f64 (+.f64 1 x) y) |
(*.f64 (+.f64 1 x) y) |
(*.f64 (+.f64 1 x) y) |
(*.f64 (+.f64 1 x) y) |
(*.f64 (+.f64 1 x) y) |
(*.f64 (+.f64 1 x) y) |
(*.f64 (+.f64 1 x) y) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)) |
y |
(*.f64 y x) |
(+.f64 y (*.f64 y x)) |
(+.f64 y (*.f64 y x)) |
(+.f64 y (*.f64 y x)) |
(*.f64 y x) |
(+.f64 y (*.f64 y x)) |
(+.f64 y (*.f64 y x)) |
(+.f64 y (*.f64 y x)) |
(*.f64 -1 x) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(*.f64 (+.f64 1 x) y) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)) |
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y))) |
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y))) |
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y))) |
y |
(+.f64 (*.f64 (-.f64 y 1) x) y) |
(+.f64 (*.f64 (-.f64 y 1) x) y) |
(+.f64 (*.f64 (-.f64 y 1) x) y) |
(*.f64 (-.f64 y 1) x) |
(+.f64 (*.f64 (-.f64 y 1) x) y) |
(+.f64 (*.f64 (-.f64 y 1) x) y) |
(+.f64 (*.f64 (-.f64 y 1) x) y) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) |
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) |
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) |
| Outputs |
|---|
(*.f64 (+.f64 1 x) y) |
(fma.f64 x y y) |
(*.f64 (+.f64 1 x) y) |
(fma.f64 x y y) |
(*.f64 (+.f64 1 x) y) |
(fma.f64 x y y) |
(*.f64 (+.f64 1 x) y) |
(fma.f64 x y y) |
(*.f64 (+.f64 1 x) y) |
(fma.f64 x y y) |
(*.f64 (+.f64 1 x) y) |
(fma.f64 x y y) |
(*.f64 (+.f64 1 x) y) |
(fma.f64 x y y) |
(*.f64 (+.f64 1 x) y) |
(fma.f64 x y y) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)) |
(*.f64 (+.f64 1 x) y) |
(fma.f64 x y y) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)) |
(*.f64 (+.f64 1 x) y) |
(fma.f64 x y y) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)) |
(*.f64 (+.f64 1 x) y) |
(fma.f64 x y y) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)) |
(*.f64 (+.f64 1 x) y) |
(fma.f64 x y y) |
y |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 y (*.f64 y x)) |
(*.f64 (+.f64 1 x) y) |
(fma.f64 x y y) |
(+.f64 y (*.f64 y x)) |
(*.f64 (+.f64 1 x) y) |
(fma.f64 x y y) |
(+.f64 y (*.f64 y x)) |
(*.f64 (+.f64 1 x) y) |
(fma.f64 x y y) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 y (*.f64 y x)) |
(*.f64 (+.f64 1 x) y) |
(fma.f64 x y y) |
(+.f64 y (*.f64 y x)) |
(*.f64 (+.f64 1 x) y) |
(fma.f64 x y y) |
(+.f64 y (*.f64 y x)) |
(*.f64 (+.f64 1 x) y) |
(fma.f64 x y y) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(fma.f64 (+.f64 1 x) y (neg.f64 x)) |
(-.f64 (fma.f64 x y y) x) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(fma.f64 (+.f64 1 x) y (neg.f64 x)) |
(-.f64 (fma.f64 x y y) x) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(fma.f64 (+.f64 1 x) y (neg.f64 x)) |
(-.f64 (fma.f64 x y y) x) |
(*.f64 (+.f64 1 x) y) |
(fma.f64 x y y) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(fma.f64 (+.f64 1 x) y (neg.f64 x)) |
(-.f64 (fma.f64 x y y) x) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(fma.f64 (+.f64 1 x) y (neg.f64 x)) |
(-.f64 (fma.f64 x y y) x) |
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x)) |
(fma.f64 (+.f64 1 x) y (neg.f64 x)) |
(-.f64 (fma.f64 x y y) x) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)) |
(*.f64 (+.f64 1 x) y) |
(fma.f64 x y y) |
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y))) |
(fma.f64 (+.f64 1 x) y (neg.f64 x)) |
(-.f64 (fma.f64 x y y) x) |
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y))) |
(fma.f64 (+.f64 1 x) y (neg.f64 x)) |
(-.f64 (fma.f64 x y y) x) |
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y))) |
(fma.f64 (+.f64 1 x) y (neg.f64 x)) |
(-.f64 (fma.f64 x y y) x) |
y |
(+.f64 (*.f64 (-.f64 y 1) x) y) |
(fma.f64 (+.f64 1 x) y (neg.f64 x)) |
(-.f64 (fma.f64 x y y) x) |
(+.f64 (*.f64 (-.f64 y 1) x) y) |
(fma.f64 (+.f64 1 x) y (neg.f64 x)) |
(-.f64 (fma.f64 x y y) x) |
(+.f64 (*.f64 (-.f64 y 1) x) y) |
(fma.f64 (+.f64 1 x) y (neg.f64 x)) |
(-.f64 (fma.f64 x y y) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 x (-.f64 y 1)) |
(-.f64 (*.f64 x y) x) |
(+.f64 (*.f64 (-.f64 y 1) x) y) |
(fma.f64 (+.f64 1 x) y (neg.f64 x)) |
(-.f64 (fma.f64 x y y) x) |
(+.f64 (*.f64 (-.f64 y 1) x) y) |
(fma.f64 (+.f64 1 x) y (neg.f64 x)) |
(-.f64 (fma.f64 x y y) x) |
(+.f64 (*.f64 (-.f64 y 1) x) y) |
(fma.f64 (+.f64 1 x) y (neg.f64 x)) |
(-.f64 (fma.f64 x y y) x) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(*.f64 x (-.f64 y 1)) |
(-.f64 (*.f64 x y) x) |
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) |
(fma.f64 (+.f64 1 x) y (neg.f64 x)) |
(-.f64 (fma.f64 x y y) x) |
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) |
(fma.f64 (+.f64 1 x) y (neg.f64 x)) |
(-.f64 (fma.f64 x y y) x) |
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) |
(fma.f64 (+.f64 1 x) y (neg.f64 x)) |
(-.f64 (fma.f64 x y y) x) |
Compiled 5 to 3 computations (40% saved)
Compiled 7 to 3 computations (57.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (+.f64 1 x) y) |
Compiled 13 to 8 computations (38.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (+.f64 1 x) y) |
| 0.0ms | x | @ | inf | (*.f64 (+.f64 1 x) y) |
| 0.0ms | x | @ | -inf | (*.f64 (+.f64 1 x) y) |
| 0.0ms | y | @ | inf | (*.f64 (+.f64 1 x) y) |
| 0.0ms | y | @ | -inf | (*.f64 (+.f64 1 x) y) |
| 1× | batch-egg-rewrite |
| 604× | pow1_binary64 |
| 560× | add-log-exp_binary64 |
| 560× | log1p-expm1-u_binary64 |
| 560× | expm1-log1p-u_binary64 |
| 549× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 121 | 7 |
| 2 | 1520 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 1 x) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 y (*.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) y) (+.f64 1 (-.f64 (*.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 (-.f64 (*.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 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 y (*.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 y (*.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y (*.f64 x y)) 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 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 y (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 y (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 x) (log.f64 y))))))) |
| 1× | egg-herbie |
| 14× | fma-def_binary64 |
| 4× | associate-*r*_binary64 |
| 4× | associate-*l*_binary64 |
| 3× | *-lft-identity_binary64 |
| 3× | *-rgt-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 54 |
| 1 | 8 | 54 |
| 2 | 12 | 54 |
| 3 | 16 | 54 |
| 4 | 22 | 54 |
| 5 | 28 | 54 |
| 6 | 41 | 54 |
| 7 | 45 | 54 |
| 8 | 47 | 54 |
| 1× | saturated |
| Inputs |
|---|
y |
(+.f64 (*.f64 y x) y) |
(+.f64 (*.f64 y x) y) |
(+.f64 (*.f64 y x) y) |
(*.f64 y x) |
(+.f64 y (*.f64 y x)) |
(+.f64 y (*.f64 y x)) |
(+.f64 y (*.f64 y x)) |
(*.f64 y x) |
(+.f64 y (*.f64 y x)) |
(+.f64 y (*.f64 y x)) |
(+.f64 y (*.f64 y x)) |
| Outputs |
|---|
y |
(+.f64 (*.f64 y x) y) |
(fma.f64 y x y) |
(+.f64 (*.f64 y x) y) |
(fma.f64 y x y) |
(+.f64 (*.f64 y x) y) |
(fma.f64 y x y) |
(*.f64 y x) |
(+.f64 y (*.f64 y x)) |
(fma.f64 y x y) |
(+.f64 y (*.f64 y x)) |
(fma.f64 y x y) |
(+.f64 y (*.f64 y x)) |
(fma.f64 y x y) |
(*.f64 y x) |
(+.f64 y (*.f64 y x)) |
(fma.f64 y x y) |
(+.f64 y (*.f64 y x)) |
(fma.f64 y x y) |
(+.f64 y (*.f64 y x)) |
(fma.f64 y x y) |
Compiled 13 to 8 computations (38.5% saved)
Compiled 1416 to 504 computations (64.4% saved)
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 121 | 2 | 123 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 2 | 4 |
| Total | 123 | 6 | 129 |
| Status | Error | Program |
|---|---|---|
| ✓ | 11.6b | (-.f64 y x) |
| ✓ | 36.8b | (neg.f64 x) |
| ▶ | 52.6b | (*.f64 y x) |
| ▶ | 26.8b | (+.f64 (*.f64 y x) y) |
| ✓ | 26.3b | (*.f64 (-.f64 y 1) x) |
| 37.4b | y |
Compiled 31 to 20 computations (35.5% saved)
Compiled 7 to 3 computations (57.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (*.f64 y x) y) |
Compiled 12 to 4 computations (66.7% saved)
Compiled 451 to 171 computations (62.1% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 44 | 0 | 44 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 44 | 6 | 50 |
| Status | Error | Program |
|---|---|---|
| ✓ | 11.6b | (-.f64 y x) |
| ✓ | 36.8b | (neg.f64 x) |
| ✓ | 52.6b | (*.f64 y x) |
| ✓ | 26.8b | (+.f64 (*.f64 y x) y) |
| ✓ | 26.3b | (*.f64 (-.f64 y 1) x) |
| 37.4b | y |
Compiled 31 to 20 computations (35.5% saved)
Compiled 2 to 2 computations (0% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 5 | 5 |
| Total | 0 | 6 | 6 |
| Status | Error | Program |
|---|---|---|
| ✓ | 11.6b | (-.f64 y x) |
| ✓ | 36.8b | (neg.f64 x) |
| ✓ | 52.6b | (*.f64 y x) |
| ✓ | 26.8b | (+.f64 (*.f64 y x) y) |
| ✓ | 26.3b | (*.f64 (-.f64 y 1) x) |
| 37.4b | y |
Compiled 31 to 20 computations (35.5% saved)
| Inputs |
|---|
y |
(neg.f64 x) |
(*.f64 y x) |
(-.f64 y x) |
(+.f64 (*.f64 y x) y) |
(*.f64 (+.f64 1 x) y) |
(*.f64 (-.f64 y 1) x) |
(-.f64 (+.f64 (*.f64 y x) y) x) |
(-.f64 (*.f64 (+.f64 x 1) y) x) |
(-.f64 (fma.f64 x y y) x) |
| Outputs |
|---|
(-.f64 (+.f64 (*.f64 y x) y) x) |
3 calls:
| 7.0ms | y |
| 6.0ms | (-.f64 (*.f64 (+.f64 x 1) y) x) |
| 6.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | (-.f64 (*.f64 (+.f64 x 1) y) x) |
Compiled 61 to 29 computations (52.5% saved)
| Inputs |
|---|
y |
(neg.f64 x) |
(*.f64 y x) |
(-.f64 y x) |
(+.f64 (*.f64 y x) y) |
(*.f64 (+.f64 1 x) y) |
(*.f64 (-.f64 y 1) x) |
| Outputs |
|---|
(+.f64 (*.f64 y x) y) |
(-.f64 y x) |
(+.f64 (*.f64 y x) y) |
2 calls:
| 15.0ms | x |
| 14.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 1.5b | 3 | x |
| 1.2b | 3 | y |
Compiled 32 to 16 computations (50% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 0.00045304359284184265 | 1.668136313455359 |
| 16.0ms | -247756747.24193823 | -0.0072076466492086155 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
y |
(neg.f64 x) |
(*.f64 y x) |
(-.f64 y x) |
| Outputs |
|---|
(-.f64 y x) |
(*.f64 y x) |
(-.f64 y x) |
2 calls:
| 14.0ms | x |
| 4.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 9.1b | 3 | x |
| 11.6b | 1 | y |
Compiled 17 to 9 computations (47.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 54.0ms | 3.3950823878528384e+93 | 3.1225464406078824e+104 |
| 16.0ms | 14923001106.50212 | 2219940684205018.5 |
Compiled 134 to 90 computations (32.8% saved)
| Inputs |
|---|
y |
(neg.f64 x) |
(*.f64 y x) |
| Outputs |
|---|
(neg.f64 x) |
y |
(*.f64 y x) |
(neg.f64 x) |
2 calls:
| 16.0ms | x |
| 11.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 17.8b | 4 | x |
| 17.8b | 3 | y |
Compiled 14 to 8 computations (42.9% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 57.0ms | 3.3950823878528384e+93 | 3.1225464406078824e+104 |
| 16.0ms | 65161442.29306047 | 14923001106.50212 |
| 17.0ms | -499701390.0673341 | -0.013163326731139331 |
Compiled 124 to 90 computations (27.4% saved)
Total -44.4b remaining (-249.5%)
Threshold costs -44.4b (-249.5%)
| Inputs |
|---|
y |
(neg.f64 x) |
| Outputs |
|---|
y |
(neg.f64 x) |
y |
2 calls:
| 10.0ms | x |
| 9.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 19.9b | 3 | x |
| 17.8b | 3 | y |
Compiled 11 to 7 computations (36.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 2.754191638974452e-56 | 1.6247118226599419e-49 |
| 18.0ms | -5.973343587230187e-84 | -5.3636854743356895e-84 |
Compiled 14 to 10 computations (28.6% saved)
| 1× | egg-herbie |
| 4× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 2× | *-commutative_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 111 |
| 1 | 42 | 111 |
| 2 | 46 | 111 |
| 3 | 47 | 111 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 (*.f64 y x) y) x) |
(if (<=.f64 y -2078334231967701/8388608) (+.f64 (*.f64 y x) y) (if (<=.f64 y 522323700711709/1152921504606846976) (-.f64 y x) (+.f64 (*.f64 y x) y))) |
(if (<=.f64 x 7823950404125783/524288) (-.f64 y x) (if (<=.f64 x 3400000000000000031690720476389037225616012296148685806822046218102233124367331769287371128832) (*.f64 y x) (-.f64 y x))) |
(if (<=.f64 x -8383598156659919/16777216) (neg.f64 x) (if (<=.f64 x 4372910368888843/67108864) y (if (<=.f64 x 3400000000000000031690720476389037225616012296148685806822046218102233124367331769287371128832) (*.f64 y x) (neg.f64 x)))) |
(if (<=.f64 y -6532600045273591/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) y (if (<=.f64 y 6082794266448973/220855883097298041197912187592864814478435487109452369765200775161577472) (neg.f64 x) y)) |
y |
| Outputs |
|---|
(-.f64 (+.f64 (*.f64 y x) y) x) |
(-.f64 (+.f64 y (*.f64 y x)) x) |
(if (<=.f64 y -2078334231967701/8388608) (+.f64 (*.f64 y x) y) (if (<=.f64 y 522323700711709/1152921504606846976) (-.f64 y x) (+.f64 (*.f64 y x) y))) |
(if (<=.f64 y -2078334231967701/8388608) (+.f64 y (*.f64 y x)) (if (<=.f64 y 522323700711709/1152921504606846976) (-.f64 y x) (+.f64 y (*.f64 y x)))) |
(if (<=.f64 x 7823950404125783/524288) (-.f64 y x) (if (<=.f64 x 3400000000000000031690720476389037225616012296148685806822046218102233124367331769287371128832) (*.f64 y x) (-.f64 y x))) |
(if (<=.f64 x -8383598156659919/16777216) (neg.f64 x) (if (<=.f64 x 4372910368888843/67108864) y (if (<=.f64 x 3400000000000000031690720476389037225616012296148685806822046218102233124367331769287371128832) (*.f64 y x) (neg.f64 x)))) |
(if (<=.f64 y -6532600045273591/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) y (if (<=.f64 y 6082794266448973/220855883097298041197912187592864814478435487109452369765200775161577472) (neg.f64 x) y)) |
y |
Compiled 90 to 50 computations (44.4% saved)
Compiled 80 to 34 computations (57.5% saved)
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