Time bar (total: 1.2s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 25% | 74.9% | 0.1% | 5 |
| 37.5% | 62.4% | 0.1% | 6 |
| 50% | 48.4% | 1.7% | 7 |
| 59.3% | 38.2% | 2.4% | 8 |
| 67.1% | 27.7% | 5.2% | 9 |
| 72.6% | 21.3% | 6.1% | 10 |
| 76.9% | 14.7% | 8.4% | 11 |
| 79.8% | 11.2% | 9% | 12 |
| 82% | 7.6% | 10.4% | 13 |
| 83.6% | 5.7% | 10.7% | 14 |
Compiled 10 to 6 computations (40% saved)
| 736.0ms | 8253× | body | 128 | valid |
| 17.0ms | 178× | body | 128 | invalid |
| 0.0ms | 2× | body | 512 | valid |
| 0.0ms | 1× | body | 1024 | valid |
| 2× | egg-herbie |
| 247× | fma-neg_binary64 |
| 165× | fma-def_binary64 |
| 59× | cancel-sign-sub-inv_binary64 |
| 36× | associate--r+_binary64 |
| 35× | sub-neg_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 | 283 | 16 |
| 6 | 529 | 16 |
| 7 | 781 | 16 |
| 8 | 923 | 16 |
| 9 | 943 | 16 |
| 10 | 944 | 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))) |
(fma.f64 x (neg.f64 y) (+.f64 x y)) |
(fma.f64 (fma.f64 x -1 1) y x) |
(fma.f64 y (-.f64 1 x) x) |
(-.f64 (+.f64 y x) (*.f64 y x)) |
(+.f64 x (-.f64 y (*.f64 x y))) |
(fma.f64 x (neg.f64 y) (+.f64 x y)) |
(fma.f64 (fma.f64 x -1 1) y x) |
(fma.f64 y (-.f64 1 x) x) |
(sort x y)
Compiled 9 to 5 computations (44.4% saved)
| 1× | egg-herbie |
| 249× | fma-neg_binary64 |
| 175× | fma-def_binary64 |
| 55× | cancel-sign-sub-inv_binary64 |
| 37× | sub-neg_binary64 |
| 36× | 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 | 506 | 8 |
| 7 | 761 | 8 |
| 8 | 937 | 8 |
| 9 | 966 | 8 |
| 10 | 967 | 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 (fma.f64 x -1 1) y x) |
(fma.f64 x (-.f64 1 y) y) |
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 (+.f64 x y) (*.f64 x y)) | |
| ▶ | 0.0b | (fma.f64 x (-.f64 1 y) y) |
Compiled 49 to 28 computations (42.9% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 x (-.f64 1 y) y) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (fma.f64 x (-.f64 1 y) y) |
| 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) |
| 1× | batch-egg-rewrite |
| 632× | pow1_binary64 |
| 586× | add-log-exp_binary64 |
| 586× | log1p-expm1-u_binary64 |
| 586× | expm1-log1p-u_binary64 |
| 63× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 123 | 8 |
| 2 | 1522 | 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 (exp.f64 (log1p.f64 (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 log.f64 (+.f64 1 (expm1.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 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)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1 y) y))))))) |
| 1× | egg-herbie |
| 241× | fma-def_binary64 |
| 178× | fma-neg_binary64 |
| 51× | distribute-rgt-in_binary64 |
| 40× | unsub-neg_binary64 |
| 33× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 214 |
| 1 | 43 | 174 |
| 2 | 106 | 174 |
| 3 | 225 | 174 |
| 4 | 377 | 174 |
| 5 | 707 | 174 |
| 6 | 933 | 174 |
| 7 | 1002 | 174 |
| 8 | 1003 | 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) |
(fma.f64 y (neg.f64 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 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) |
(fma.f64 y (neg.f64 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 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) |
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 33 | 0 | 33 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 33 | 2 | 35 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (-.f64 (+.f64 x y) (*.f64 x y)) |
| ✓ | 0.0b | (fma.f64 x (-.f64 1 y) y) |
Compiled 342 to 214 computations (37.4% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (+.f64 x y) (*.f64 x y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 0.0ms | y | @ | inf | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 0.0ms | x | @ | inf | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 0.0ms | y | @ | 0 | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 1× | batch-egg-rewrite |
| 857× | log1p-expm1-u_binary64 |
| 857× | expm1-log1p-u_binary64 |
| 80× | add-sqr-sqrt_binary64 |
| 79× | *-un-lft-identity_binary64 |
| 79× | pow1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 10 |
| 1 | 144 | 10 |
| 2 | 2321 | 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 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 y (-.f64 1 x)) 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 x (*.f64 y (-.f64 1 x))) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 y (-.f64 1 x))) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 y (-.f64 1 x))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 y (-.f64 1 x))) (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 x (*.f64 y (-.f64 1 x))) (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 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 y (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (*.f64 y (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (*.f64 y (-.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 x (*.f64 y (-.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x (*.f64 y (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 x (*.f64 y (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (*.f64 y (-.f64 1 x)))) (sqrt.f64 (+.f64 x (*.f64 y (-.f64 1 x)))))))) (#(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 x (+.f64 y (*.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 x (+.f64 y (*.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 x (+.f64 y (*.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 x (+.f64 y (*.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 x (+.f64 y (*.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 x (+.f64 y (*.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 x (+.f64 y (*.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 x (+.f64 y (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (-.f64 1 x)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y (-.f64 1 x)) (*.f64 y (-.f64 1 x))) (*.f64 x (*.f64 y (-.f64 1 x))))))))) (#(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 1 x)) (*.f64 y (-.f64 1 x)))) (-.f64 x (*.f64 y (-.f64 1 x))))))) (#(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 x (*.f64 y (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 y (-.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 y (-.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 y (-.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 y (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (*.f64 y (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 y (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 y (-.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 y (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y (-.f64 1 x)))))) (#(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 1 x)))))) (#(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 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (*.f64 y (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (*.f64 y (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 y (-.f64 1 x))))))))) |
| 1× | egg-herbie |
| 260× | fma-def_binary64 |
| 185× | fma-neg_binary64 |
| 38× | cancel-sign-sub-inv_binary64 |
| 33× | distribute-rgt-in_binary64 |
| 33× | sub-neg_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 | 523 | 174 |
| 7 | 793 | 174 |
| 8 | 923 | 174 |
| 9 | 961 | 174 |
| 10 | 965 | 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)) |
(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 (*.f64 -1 y)) x) |
(*.f64 (-.f64 1 y) x) |
(-.f64 x (*.f64 y x)) |
(+.f64 y (*.f64 (+.f64 1 (*.f64 -1 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 (*.f64 -1 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 (*.f64 -1 y)) 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 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 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 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 x)) |
(-.f64 y (*.f64 y x)) |
(+.f64 (*.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 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 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 1 (*.f64 -1 x))) |
(*.f64 y (-.f64 1 x)) |
(-.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) |
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 61 | 0 | 61 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 61 | 2 | 63 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (+.f64 x y) (*.f64 x y)) |
| ✓ | 0.0b | (fma.f64 x (-.f64 1 y) y) |
Compiled 841 to 402 computations (52.2% saved)
Total -0.0b remaining (-104.7%)
Threshold costs -0.0b (-104.7%)
Compiled 63 to 31 computations (50.8% saved)
| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 1× | *-commutative_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 10 | 8 |
| 2 | 14 | 8 |
| 3 | 16 | 8 |
| 4 | 17 | 8 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 x (-.f64 1 y) y) |
| Outputs |
|---|
(fma.f64 x (-.f64 1 y) y) |
| 1× | done |
Compiled 45 to 26 computations (42.2% saved)
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