Time bar (total: 1.5s)
| 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 |
| 56.2% | 43.7% | 0.1% | 7 |
| 65.6% | 34.3% | 0.1% | 8 |
| 76.5% | 23.4% | 0.1% | 9 |
| 82% | 18% | 0.1% | 10 |
| 87.8% | 12.1% | 0.1% | 11 |
| 90.7% | 9.2% | 0.1% | 12 |
| 93.8% | 6.1% | 0.1% | 13 |
| 95.3% | 4.6% | 0.1% | 14 |
Compiled 10 to 7 computations (30% saved)
| 800.0ms | 7622× | body | 128 | valid |
| 70.0ms | 229× | body | 1024 | valid |
| 63.0ms | 177× | body | 2048 | valid |
| 33.0ms | 152× | body | 512 | valid |
| 11.0ms | 76× | body | 256 | valid |
| 0.0ms | 5× | body | 128 | invalid |
| 2× | egg-herbie |
| 446× | fma-neg_binary64 |
| 114× | fma-def_binary64 |
| 90× | cancel-sign-sub-inv_binary64 |
| 62× | sub-neg_binary64 |
| 52× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 20 |
| 1 | 20 | 20 |
| 2 | 40 | 20 |
| 3 | 74 | 20 |
| 4 | 155 | 20 |
| 5 | 322 | 20 |
| 6 | 623 | 16 |
| 7 | 990 | 16 |
| 8 | 1288 | 16 |
| 9 | 1348 | 16 |
| 10 | 1352 | 16 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(+.f64 x (/.f64 (-.f64 x y) 2)) |
(+.f64 y (/.f64 (-.f64 y x) 2)) |
| Outputs |
|---|
(+.f64 x (/.f64 (-.f64 x y) 2)) |
(fma.f64 -1/2 (-.f64 y x) x) |
(fma.f64 x 3/2 (*.f64 y -1/2)) |
(+.f64 y (/.f64 (-.f64 y x) 2)) |
(-.f64 y (/.f64 (-.f64 x y) 2)) |
(fma.f64 -1/2 (-.f64 x y) y) |
(fma.f64 (-.f64 x y) -1/2 y) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
| 254× | fma-neg_binary64 |
| 112× | fma-def_binary64 |
| 91× | cancel-sign-sub-inv_binary64 |
| 47× | sub-neg_binary64 |
| 40× | distribute-rgt-in_binary64 |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 13 | 10 |
| 2 | 24 | 10 |
| 3 | 43 | 10 |
| 4 | 87 | 10 |
| 5 | 171 | 10 |
| 6 | 325 | 10 |
| 7 | 507 | 8 |
| 8 | 751 | 8 |
| 9 | 991 | 8 |
| 10 | 1049 | 8 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (/.f64 (-.f64 x y) 2)) |
| Outputs |
|---|
(+.f64 x (/.f64 (-.f64 x y) 2)) |
(-.f64 x (/.f64 (-.f64 y x) 2)) |
(+.f64 x (*.f64 -1/2 (-.f64 y x))) |
(fma.f64 -1/2 (-.f64 y x) x) |
(fma.f64 (-.f64 y x) -1/2 x) |
Compiled 15 to 9 computations (40% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (fma.f64 (-.f64 y x) -1/2 x) |
Compiled 16 to 10 computations (37.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 (-.f64 y x) -1/2 x) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (fma.f64 (-.f64 y x) -1/2 x) |
| 1.0ms | y | @ | inf | (fma.f64 (-.f64 y x) -1/2 x) |
| 1.0ms | y | @ | 0 | (fma.f64 (-.f64 y x) -1/2 x) |
| 0.0ms | y | @ | -inf | (fma.f64 (-.f64 y x) -1/2 x) |
| 0.0ms | x | @ | inf | (fma.f64 (-.f64 y x) -1/2 x) |
| 1× | batch-egg-rewrite |
| 715× | pow1_binary64 |
| 667× | add-log-exp_binary64 |
| 667× | log1p-expm1-u_binary64 |
| 667× | expm1-log1p-u_binary64 |
| 70× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 132 | 8 |
| 2 | 1740 | 8 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (-.f64 y x) -1/2 x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (-.f64 y x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 y x) -1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 y x) -1/2) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 y x) -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 y x) -1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 y x) -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 y x) -1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) -1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) -1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 y x) -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 y x) -1/2 x)) (sqrt.f64 (fma.f64 (-.f64 y x) -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) -1/2) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (-.f64 y x) -1/2) (*.f64 (-.f64 y x) -1/2)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 y x) -1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (-.f64 y x) -1/2) (*.f64 (-.f64 y x) -1/2)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 y x) -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 y x) -1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 y x) -1/2 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) -1/2 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) -1/2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) -1/2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 y x) -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 y x) -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) -1/2 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 y x) -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) -1/2 x))))))) |
| 1× | egg-herbie |
| 15× | fma-def_binary64 |
| 6× | +-commutative_binary64 |
| 3× | *-commutative_binary64 |
| 3× | associate-+l+_binary64 |
| 2× | associate-+r+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 168 |
| 1 | 32 | 168 |
| 2 | 46 | 168 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 1/2 x) x) |
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x)) |
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x)) |
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x)) |
(*.f64 -1/2 y) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x)) |
(*.f64 -1/2 y) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x)) |
(*.f64 -1/2 y) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(*.f64 3/2 x) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(*.f64 3/2 x) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
| Outputs |
|---|
(+.f64 (*.f64 1/2 x) x) |
(*.f64 x 3/2) |
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x)) |
(fma.f64 -1/2 y (*.f64 x 3/2)) |
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x)) |
(fma.f64 -1/2 y (*.f64 x 3/2)) |
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x)) |
(fma.f64 -1/2 y (*.f64 x 3/2)) |
(*.f64 -1/2 y) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x)) |
(fma.f64 -1/2 y (*.f64 x 3/2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x)) |
(fma.f64 -1/2 y (*.f64 x 3/2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x)) |
(fma.f64 -1/2 y (*.f64 x 3/2)) |
(*.f64 -1/2 y) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x)) |
(fma.f64 -1/2 y (*.f64 x 3/2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x)) |
(fma.f64 -1/2 y (*.f64 x 3/2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x)) |
(fma.f64 -1/2 y (*.f64 x 3/2)) |
(*.f64 -1/2 y) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 x 3/2)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 x 3/2)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 x 3/2)) |
(*.f64 3/2 x) |
(*.f64 x 3/2) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 x 3/2)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 x 3/2)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 x 3/2)) |
(*.f64 3/2 x) |
(*.f64 x 3/2) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 x 3/2)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 x 3/2)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 x 3/2)) |
Compiled 299 to 164 computations (45.2% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 25 | 5 | 30 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 26 | 5 | 31 |
| Status | Error | Program |
|---|---|---|
| 1.2b | (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) -1/2 x)) 3) | |
| 31.0b | (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 y x) -1/2) (*.f64 (-.f64 y x) -1/2)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 y x) -1/2) x)) | |
| 43.2b | (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) -1/2) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (-.f64 y x) -1/2) (*.f64 (-.f64 y x) -1/2)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 y x) -1/2) x)))) | |
| 1.2b | (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) -1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 y x) -1/2 x))) | |
| ▶ | 0.1b | (fma.f64 -1/2 y (*.f64 x 3/2)) |
Compiled 200 to 124 computations (38% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 -1/2 y (*.f64 x 3/2)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (fma.f64 -1/2 y (*.f64 x 3/2)) |
| 0.0ms | y | @ | -inf | (fma.f64 -1/2 y (*.f64 x 3/2)) |
| 0.0ms | x | @ | 0 | (fma.f64 -1/2 y (*.f64 x 3/2)) |
| 0.0ms | x | @ | inf | (fma.f64 -1/2 y (*.f64 x 3/2)) |
| 0.0ms | y | @ | inf | (fma.f64 -1/2 y (*.f64 x 3/2)) |
| 1× | batch-egg-rewrite |
| 618× | pow1_binary64 |
| 572× | add-log-exp_binary64 |
| 572× | log1p-expm1-u_binary64 |
| 572× | expm1-log1p-u_binary64 |
| 69× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 8 |
| 1 | 141 | 8 |
| 2 | 1531 | 8 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 -1/2 y (*.f64 x 3/2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3/2) (*.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 y) (*.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/2 y) 1) (*.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 y (*.f64 x 3/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 y (*.f64 x 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/2 y (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/2 y (*.f64 x 3/2))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 y (*.f64 x 3/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 y (*.f64 x 3/2))) 2) (cbrt.f64 (fma.f64 -1/2 y (*.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/2 y (*.f64 x 3/2))) (sqrt.f64 (fma.f64 -1/2 y (*.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -1/2 y) 3) (pow.f64 (*.f64 x 3/2) 3)) (+.f64 (*.f64 (*.f64 -1/2 y) (*.f64 -1/2 y)) (-.f64 (*.f64 9/4 (*.f64 x x)) (*.f64 (*.f64 -1/2 y) (*.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 -1/2 y) (*.f64 -1/2 y)) (*.f64 9/4 (*.f64 x x))) (-.f64 (*.f64 -1/2 y) (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/2 y (*.f64 x 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 y (*.f64 x 3/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/2 y (*.f64 x 3/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/2 y (*.f64 x 3/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/2 y (*.f64 x 3/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/2 y (*.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 y (*.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/2 y (*.f64 x 3/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/2 y (*.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/2 y (*.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/2 y (*.f64 x 3/2)))))))) |
| 1× | egg-herbie |
| 4× | fma-def_binary64 |
| 2× | *-commutative_binary64 |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 168 |
| 1 | 12 | 168 |
| 2 | 15 | 168 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 3/2 x) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(*.f64 -1/2 y) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(*.f64 -1/2 y) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(*.f64 -1/2 y) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(*.f64 3/2 x) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(*.f64 3/2 x) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
| Outputs |
|---|
(*.f64 3/2 x) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 3/2 x)) |
(fma.f64 3/2 x (*.f64 -1/2 y)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 3/2 x)) |
(fma.f64 3/2 x (*.f64 -1/2 y)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 3/2 x)) |
(fma.f64 3/2 x (*.f64 -1/2 y)) |
(*.f64 -1/2 y) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 3/2 x)) |
(fma.f64 3/2 x (*.f64 -1/2 y)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 3/2 x)) |
(fma.f64 3/2 x (*.f64 -1/2 y)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 3/2 x)) |
(fma.f64 3/2 x (*.f64 -1/2 y)) |
(*.f64 -1/2 y) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 3/2 x)) |
(fma.f64 3/2 x (*.f64 -1/2 y)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 3/2 x)) |
(fma.f64 3/2 x (*.f64 -1/2 y)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 3/2 x)) |
(fma.f64 3/2 x (*.f64 -1/2 y)) |
(*.f64 -1/2 y) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 3/2 x)) |
(fma.f64 3/2 x (*.f64 -1/2 y)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 3/2 x)) |
(fma.f64 3/2 x (*.f64 -1/2 y)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 3/2 x)) |
(fma.f64 3/2 x (*.f64 -1/2 y)) |
(*.f64 3/2 x) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 3/2 x)) |
(fma.f64 3/2 x (*.f64 -1/2 y)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 3/2 x)) |
(fma.f64 3/2 x (*.f64 -1/2 y)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 3/2 x)) |
(fma.f64 3/2 x (*.f64 -1/2 y)) |
(*.f64 3/2 x) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 3/2 x)) |
(fma.f64 3/2 x (*.f64 -1/2 y)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 3/2 x)) |
(fma.f64 3/2 x (*.f64 -1/2 y)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 3/2 x)) |
(fma.f64 3/2 x (*.f64 -1/2 y)) |
Compiled 269 to 202 computations (24.9% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 25 | 1 | 26 |
| Fresh | 4 | 0 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 30 | 1 | 31 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0b | (fma.f64 3/2 x (*.f64 -1/2 y)) |
Compiled 16 to 12 computations (25% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 3/2 x (*.f64 -1/2 y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (fma.f64 3/2 x (*.f64 -1/2 y)) |
| 0.0ms | y | @ | -inf | (fma.f64 3/2 x (*.f64 -1/2 y)) |
| 0.0ms | x | @ | -inf | (fma.f64 3/2 x (*.f64 -1/2 y)) |
| 0.0ms | x | @ | inf | (fma.f64 3/2 x (*.f64 -1/2 y)) |
| 0.0ms | x | @ | 0 | (fma.f64 3/2 x (*.f64 -1/2 y)) |
| 1× | batch-egg-rewrite |
| 618× | pow1_binary64 |
| 572× | add-log-exp_binary64 |
| 572× | log1p-expm1-u_binary64 |
| 572× | expm1-log1p-u_binary64 |
| 69× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 8 |
| 1 | 141 | 8 |
| 2 | 1531 | 8 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 3/2 x (*.f64 -1/2 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 y) (*.f64 3/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3/2 x) (*.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3/2 x) 1) (*.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 3/2 x (*.f64 -1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3/2 x (*.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))) (pow.f64 (cbrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))) 2) (cbrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))) (sqrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 3/2 x) 3) (pow.f64 (*.f64 -1/2 y) 3)) (+.f64 (*.f64 (*.f64 3/2 x) (*.f64 3/2 x)) (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 (*.f64 3/2 x) (*.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 3/2 x) (*.f64 3/2 x)) (*.f64 (*.f64 y y) 1/4)) (-.f64 (*.f64 3/2 x) (*.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3/2 x (*.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 3/2 x (*.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3/2 x (*.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3/2 x (*.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3/2 x (*.f64 -1/2 y)))))))) |
| 1× | egg-herbie |
| 4× | fma-def_binary64 |
| 2× | *-commutative_binary64 |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 168 |
| 1 | 12 | 168 |
| 2 | 15 | 168 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1/2 y) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(*.f64 3/2 x) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(*.f64 3/2 x) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(*.f64 3/2 x) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(*.f64 -1/2 y) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(*.f64 -1/2 y) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
| Outputs |
|---|
(*.f64 -1/2 y) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 3/2 x)) |
(*.f64 3/2 x) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 3/2 x)) |
(*.f64 3/2 x) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 3/2 x)) |
(*.f64 3/2 x) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 3/2 x)) |
(*.f64 -1/2 y) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 3/2 x)) |
(*.f64 -1/2 y) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 3/2 x)) |
Compiled 262 to 197 computations (24.8% saved)
1 alts after pruning (0 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 25 | 0 | 25 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 25 | 1 | 26 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0b | (fma.f64 3/2 x (*.f64 -1/2 y)) |
Compiled 8 to 6 computations (25% saved)
Total -43.6b remaining (-∞%)
Threshold costs -43.6b (-∞%)
| Inputs |
|---|
(fma.f64 3/2 x (*.f64 -1/2 y)) |
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) -1/2 x)) 3) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 y x) -1/2) (*.f64 (-.f64 y x) -1/2)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 y x) -1/2) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) -1/2) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (-.f64 y x) -1/2) (*.f64 (-.f64 y x) -1/2)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 y x) -1/2) x)))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) -1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 y x) -1/2 x))) |
(fma.f64 -1/2 y (*.f64 x 3/2)) |
(fma.f64 (-.f64 y x) -1/2 x) |
(+.f64 x (/.f64 (-.f64 x y) 2)) |
| Outputs |
|---|
(fma.f64 3/2 x (*.f64 -1/2 y)) |
| Time | Error | Segments | Branch |
| 6.0ms | 0b | 1 | x |
| 7.0ms | 0b | 1 | y |
| 6.0ms | 0b | 1 | (+.f64 x (/.f64 (-.f64 x y) 2)) |
Compiled 126 to 70 computations (44.4% saved)
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 8 |
| 1 | 8 | 8 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 3/2 x (*.f64 -1/2 y)) |
| Outputs |
|---|
(fma.f64 3/2 x (*.f64 -1/2 y)) |
| 1× | done |
Compiled 16 to 12 computations (25% saved)
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