Time bar (total: 6.1s)
| 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 |
| 31.2% | 68.7% | 0.1% | 6 |
| 43.7% | 51.5% | 4.8% | 7 |
| 48.4% | 46.8% | 4.8% | 8 |
| 55.4% | 37.5% | 7.1% | 9 |
| 58.1% | 34.7% | 7.1% | 10 |
| 61.9% | 29.9% | 8.3% | 11 |
| 63.3% | 28.4% | 8.3% | 12 |
Compiled 12 to 9 computations (25% saved)
| 2.5s | 2565× | body | 8192 | exit |
| 1.2s | 7804× | body | 256 | valid |
| 144.0ms | 208× | body | 1024 | valid |
| 79.0ms | 243× | body | 512 | valid |
| 23.0ms | 153× | body | 256 | invalid |
| 2.0ms | 1× | body | 2048 | valid |
| 2× | egg-herbie |
| 732× | times-frac_binary64 |
| 550× | fma-def_binary64 |
| 473× | associate-/r/_binary64 |
| 413× | fabs-mul_binary64 |
| 232× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 22 |
| 1 | 32 | 22 |
| 2 | 45 | 22 |
| 3 | 71 | 22 |
| 4 | 101 | 22 |
| 5 | 150 | 22 |
| 6 | 231 | 22 |
| 7 | 321 | 22 |
| 8 | 428 | 22 |
| 9 | 546 | 22 |
| 10 | 638 | 22 |
| 11 | 678 | 22 |
| 12 | 826 | 22 |
| 13 | 1267 | 22 |
| 14 | 3095 | 22 |
| 15 | 5889 | 22 |
| 16 | 7245 | 22 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x)) |
| Outputs |
|---|
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x))) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x)) |
(-.f64 (log1p.f64 (exp.f64 y)) (*.f64 x y)) |
Compiled 13 to 10 computations (23.1% saved)
| 1× | egg-herbie |
| 479× | fma-def_binary64 |
| 369× | times-frac_binary64 |
| 368× | associate-*l*_binary64 |
| 315× | associate-/l*_binary64 |
| 289× | associate-/l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 11 |
| 1 | 19 | 11 |
| 2 | 30 | 11 |
| 3 | 47 | 11 |
| 4 | 66 | 11 |
| 5 | 100 | 11 |
| 6 | 154 | 11 |
| 7 | 206 | 11 |
| 8 | 275 | 11 |
| 9 | 354 | 11 |
| 10 | 416 | 11 |
| 11 | 442 | 11 |
| 12 | 521 | 11 |
| 13 | 749 | 11 |
| 14 | 1685 | 11 |
| 15 | 4925 | 11 |
| 16 | 6027 | 11 |
| 17 | 7666 | 11 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
| Outputs |
|---|
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
Compiled 18 to 10 computations (44.4% 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 |
|---|---|---|
| ▶ | 0.0b | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
Compiled 9 to 6 computations (33.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
Compiled 19 to 6 computations (68.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| 5.0ms | y | @ | 0 | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| 3.0ms | x | @ | -inf | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| 1.0ms | x | @ | 0 | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| 0.0ms | y | @ | inf | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| 1× | batch-egg-rewrite |
| 792× | pow1_binary64 |
| 733× | add-log-exp_binary64 |
| 733× | expm1-log1p-u_binary64 |
| 732× | log1p-expm1-u_binary64 |
| 716× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 147 | 11 |
| 2 | 2015 | 11 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y))))))) |
| 1× | egg-herbie |
| 976× | fma-def_binary64 |
| 540× | associate-*l*_binary64 |
| 540× | fma-neg_binary64 |
| 504× | distribute-lft-out_binary64 |
| 418× | distribute-rgt-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 278 |
| 1 | 67 | 248 |
| 2 | 138 | 248 |
| 3 | 364 | 242 |
| 4 | 1194 | 242 |
| 5 | 4406 | 242 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 2) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2))) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2)))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
| Outputs |
|---|
(log.f64 2) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2))) |
(fma.f64 (-.f64 1/2 y) x (fma.f64 1/8 (*.f64 x x) (log.f64 2))) |
(fma.f64 (-.f64 1/2 y) x (fma.f64 x (*.f64 x 1/8) (log.f64 2))) |
(fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2)) |
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2)))) |
(fma.f64 (-.f64 1/2 y) x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) |
(fma.f64 (-.f64 1/2 y) x (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) |
(fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) |
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 y (neg.f64 x)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 y x)) (log1p.f64 (exp.f64 x))) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 y x)) (log1p.f64 (exp.f64 x))) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 y x)) (log1p.f64 (exp.f64 x))) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 y (neg.f64 x)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 y x)) (log1p.f64 (exp.f64 x))) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 y x)) (log1p.f64 (exp.f64 x))) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 y x)) (log1p.f64 (exp.f64 x))) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log1p.f64 (exp.f64 x)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 y x)) (log1p.f64 (exp.f64 x))) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 y x)) (log1p.f64 (exp.f64 x))) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 y x)) (log1p.f64 (exp.f64 x))) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 y (neg.f64 x)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 y x)) (log1p.f64 (exp.f64 x))) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 y x)) (log1p.f64 (exp.f64 x))) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 y x)) (log1p.f64 (exp.f64 x))) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 y (neg.f64 x)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 y x)) (log1p.f64 (exp.f64 x))) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 y x)) (log1p.f64 (exp.f64 x))) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 y x)) (log1p.f64 (exp.f64 x))) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) |
Compiled 720 to 241 computations (66.5% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 45 | 5 | 50 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 46 | 5 | 51 |
| Status | Error | Program |
|---|---|---|
| ▶ | 11.8b | (fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
| ▶ | 11.8b | (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
| ▶ | 29.5b | (log.f64 2) |
| ▶ | 29.4b | (log1p.f64 (exp.f64 x)) |
| ▶ | 33.6b | (*.f64 x (neg.f64 y)) |
Compiled 68 to 54 computations (20.6% saved)
Compiled 18 to 13 computations (27.8% saved)
Compiled 10 to 4 computations (60% saved)
Compiled 5 to 5 computations (0% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (-.f64 1/2 y) x) |
| ✓ | 0.0b | (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
Compiled 24 to 17 computations (29.2% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | 0 | (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
| 1.0ms | x | @ | 0 | (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
| 1.0ms | y | @ | inf | (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
| 1.0ms | x | @ | -inf | (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
| 1× | batch-egg-rewrite |
| 864× | prod-diff_binary64 |
| 596× | unpow-prod-down_binary64 |
| 435× | log-prod_binary64 |
| 278× | fma-def_binary64 |
| 257× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 200 | 17 |
| 2 | 2629 | 17 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(*.f64 (-.f64 1/2 y) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (pow.f64 (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (pow.f64 (/.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2) 3) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (-.f64 1/2 y) (*.f64 x (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) (neg.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1/2 y) x) 1 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 2) 1 (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)) (log.f64 2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (*.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 1/2 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 1/2 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (*.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (*.f64 x (neg.f64 y))))))) |
| 1× | egg-herbie |
| 267× | fma-neg_binary64 |
| 247× | fma-def_binary64 |
| 89× | cancel-sign-sub-inv_binary64 |
| 42× | sub-neg_binary64 |
| 38× | associate--r+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 250 |
| 1 | 33 | 223 |
| 2 | 64 | 205 |
| 3 | 107 | 205 |
| 4 | 160 | 205 |
| 5 | 254 | 205 |
| 6 | 452 | 205 |
| 7 | 660 | 205 |
| 8 | 875 | 205 |
| 9 | 1096 | 205 |
| 10 | 1116 | 205 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(log.f64 2) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
| Outputs |
|---|
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(fma.f64 1/2 x (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(log.f64 2) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
Compiled 8 to 4 computations (50% saved)
Compiled 1408 to 1100 computations (21.9% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 95 | 2 | 97 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 95 | 7 | 102 |
| Status | Error | Program |
|---|---|---|
| ▶ | 29.5b | (+.f64 (*.f64 1/2 x) (log.f64 2)) |
| ✓ | 29.4b | (log1p.f64 (exp.f64 x)) |
| ▶ | 45.0b | (*.f64 (-.f64 1/2 y) x) |
| ✓ | 11.8b | (fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
| ✓ | 11.8b | (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
| ✓ | 29.5b | (log.f64 2) |
| ✓ | 33.6b | (*.f64 x (neg.f64 y)) |
Compiled 49 to 39 computations (20.4% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 (-.f64 1/2 y) x) |
Compiled 13 to 8 computations (38.5% saved)
Compiled 16 to 13 computations (18.8% saved)
Compiled 249 to 169 computations (32.1% saved)
9 alts after pruning (2 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 25 | 2 | 27 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 25 | 9 | 34 |
| Status | Error | Program |
|---|---|---|
| ✓ | 29.5b | (+.f64 (*.f64 1/2 x) (log.f64 2)) |
| ✓ | 29.4b | (log1p.f64 (exp.f64 x)) |
| ▶ | 57.0b | (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) |
| ✓ | 45.0b | (*.f64 (-.f64 1/2 y) x) |
| ✓ | 11.8b | (fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
| ✓ | 11.8b | (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
| ✓ | 29.5b | (log.f64 2) |
| ▶ | 61.8b | (*.f64 1/2 x) |
| ✓ | 33.6b | (*.f64 x (neg.f64 y)) |
Compiled 67 to 52 computations (22.4% saved)
Compiled 7 to 5 computations (28.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 5.9b | (*.f64 (-.f64 1/4 (*.f64 y y)) x) |
| ✓ | 8.2b | (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) |
Compiled 35 to 18 computations (48.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | y | @ | 0 | (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) |
| 2.0ms | y | @ | 0 | (*.f64 (-.f64 1/4 (*.f64 y y)) x) |
| 2.0ms | x | @ | 0 | (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) |
| 1.0ms | y | @ | inf | (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) |
| 1× | batch-egg-rewrite |
| 553× | log-prod_binary64 |
| 345× | pow-prod-down_binary64 |
| 296× | pow2_binary64 |
| 205× | pow1/3_binary64 |
| 202× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 1 | 230 | 17 |
| 2 | 3214 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) |
(*.f64 (-.f64 1/4 (*.f64 y y)) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (-.f64 1/2 y) x)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (-.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (/.f64 (+.f64 y 1/2) x)) (/.f64 (*.f64 y y) (/.f64 (+.f64 y 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 x (/.f64 1 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (/.f64 1 (+.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) (*.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (/.f64 1 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (*.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (/.f64 1 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (neg.f64 x)) (/.f64 1 (fma.f64 -1 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 (-.f64 1/4 (*.f64 y y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) 1) (/.f64 x (+.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (+.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 1) (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (+.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 x (cbrt.f64 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (-.f64 1/4 (*.f64 y y)) (cbrt.f64 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) -2) (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (cbrt.f64 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (cbrt.f64 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (sqrt.f64 (+.f64 y 1/2))) (/.f64 x (sqrt.f64 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (+.f64 y 1/2))) (/.f64 (-.f64 1/4 (*.f64 y y)) (sqrt.f64 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 y 1/2) -1/2) (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (sqrt.f64 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) (sqrt.f64 (+.f64 y 1/2))) (/.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (sqrt.f64 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (-.f64 y 1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (-.f64 1/2 y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 3) (pow.f64 (+.f64 y 1/2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (*.f64 (-.f64 1/2 y) x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (fma.f64 -1 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 3) (pow.f64 (+.f64 y 1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) -1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1/4 (*.f64 y y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 x) (*.f64 (*.f64 y (neg.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/4) (*.f64 x (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/64 (pow.f64 y 6)) x) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/16 (pow.f64 y 4)) x) (fma.f64 y y 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/64 (pow.f64 y 6))) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/16 (pow.f64 y 4))) (fma.f64 y y 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/4 x (*.f64 (*.f64 y (neg.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/4 (*.f64 x (*.f64 y (neg.f64 y)))))))) |
| 1× | egg-herbie |
| 573× | cancel-sign-sub-inv_binary64 |
| 559× | fma-def_binary64 |
| 535× | fma-neg_binary64 |
| 366× | associate-/l*_binary64 |
| 319× | div-sub_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 593 |
| 1 | 48 | 521 |
| 2 | 103 | 503 |
| 3 | 199 | 503 |
| 4 | 539 | 503 |
| 5 | 1758 | 503 |
| 6 | 4412 | 503 |
| 7 | 6942 | 503 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(*.f64 1/4 x) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 1/4 x)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 1/4 x)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 1/4 x)) |
(*.f64 -1 (*.f64 (pow.f64 y 2) x)) |
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x))) |
(*.f64 -1 (*.f64 (pow.f64 y 2) x)) |
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x))) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
| Outputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 1/2 x (neg.f64 (*.f64 x y))) |
(*.f64 x (+.f64 (neg.f64 y) 1/2)) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 1/2 x (neg.f64 (*.f64 x y))) |
(*.f64 x (+.f64 (neg.f64 y) 1/2)) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 1/2 x (neg.f64 (*.f64 x y))) |
(*.f64 x (+.f64 (neg.f64 y) 1/2)) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 1/2 x (neg.f64 (*.f64 x y))) |
(*.f64 x (+.f64 (neg.f64 y) 1/2)) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 1/2 x (neg.f64 (*.f64 x y))) |
(*.f64 x (+.f64 (neg.f64 y) 1/2)) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 1/2 x (neg.f64 (*.f64 x y))) |
(*.f64 x (+.f64 (neg.f64 y) 1/2)) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 1/2 x (neg.f64 (*.f64 x y))) |
(*.f64 x (+.f64 (neg.f64 y) 1/2)) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 1/2 x (neg.f64 (*.f64 x y))) |
(*.f64 x (+.f64 (neg.f64 y) 1/2)) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 1/2 x (neg.f64 (*.f64 x y))) |
(*.f64 x (+.f64 (neg.f64 y) 1/2)) |
(*.f64 x (-.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) |
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x) |
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y))) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 x (/.f64 (neg.f64 (fma.f64 y y -1/4)) (+.f64 1/2 y))) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) |
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x) |
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y))) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 x (/.f64 (neg.f64 (fma.f64 y y -1/4)) (+.f64 1/2 y))) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) |
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x) |
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y))) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 x (/.f64 (neg.f64 (fma.f64 y y -1/4)) (+.f64 1/2 y))) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) |
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x) |
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y))) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 x (/.f64 (neg.f64 (fma.f64 y y -1/4)) (+.f64 1/2 y))) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) |
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x) |
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y))) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 x (/.f64 (neg.f64 (fma.f64 y y -1/4)) (+.f64 1/2 y))) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) |
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x) |
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y))) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 x (/.f64 (neg.f64 (fma.f64 y y -1/4)) (+.f64 1/2 y))) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) |
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x) |
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y))) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 x (/.f64 (neg.f64 (fma.f64 y y -1/4)) (+.f64 1/2 y))) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) |
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x) |
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y))) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 x (/.f64 (neg.f64 (fma.f64 y y -1/4)) (+.f64 1/2 y))) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) |
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x) |
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y))) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 x (/.f64 (neg.f64 (fma.f64 y y -1/4)) (+.f64 1/2 y))) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) |
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x) |
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y))) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 x (/.f64 (neg.f64 (fma.f64 y y -1/4)) (+.f64 1/2 y))) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) |
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x) |
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y))) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 x (/.f64 (neg.f64 (fma.f64 y y -1/4)) (+.f64 1/2 y))) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) |
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x) |
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y))) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 x (/.f64 (neg.f64 (fma.f64 y y -1/4)) (+.f64 1/2 y))) |
(*.f64 1/4 x) |
(*.f64 x 1/4) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 1/4 x)) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 1/4 x)) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 1/4 x)) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(*.f64 -1 (*.f64 (pow.f64 y 2) x)) |
(neg.f64 (*.f64 x (*.f64 y y))) |
(*.f64 x (*.f64 y (neg.f64 y))) |
(*.f64 y (*.f64 y (neg.f64 x))) |
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(*.f64 -1 (*.f64 (pow.f64 y 2) x)) |
(neg.f64 (*.f64 x (*.f64 y y))) |
(*.f64 x (*.f64 y (neg.f64 y))) |
(*.f64 y (*.f64 y (neg.f64 x))) |
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
Compiled 1340 to 887 computations (33.8% saved)
13 alts after pruning (4 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 95 | 4 | 99 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 8 | 8 |
| Total | 95 | 13 | 108 |
| Status | Error | Program |
|---|---|---|
| ✓ | 11.8b | (fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
| 56.5b | (*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) 1) (/.f64 x (+.f64 y 1/2))) | |
| 53.4b | (/.f64 (*.f64 y (*.f64 y (neg.f64 x))) (+.f64 1/2 y)) | |
| ✓ | 29.5b | (+.f64 (*.f64 1/2 x) (log.f64 2)) |
| ✓ | 29.4b | (log1p.f64 (exp.f64 x)) |
| 62.0b | (/.f64 (*.f64 x 1/4) (+.f64 1/2 y)) | |
| ✓ | 33.6b | (*.f64 x (neg.f64 y)) |
| ✓ | 57.0b | (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) |
| 56.5b | (*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x))) | |
| ✓ | 45.0b | (*.f64 (-.f64 1/2 y) x) |
| ✓ | 11.8b | (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
| ✓ | 29.5b | (log.f64 2) |
| ✓ | 61.8b | (*.f64 1/2 x) |
Compiled 118 to 89 computations (24.6% saved)
| Inputs |
|---|
(*.f64 1/2 x) |
(*.f64 x (neg.f64 y)) |
(*.f64 (-.f64 1/2 y) x) |
(/.f64 (*.f64 x 1/4) (+.f64 1/2 y)) |
(/.f64 (*.f64 y (*.f64 y (neg.f64 x))) (+.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) |
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) 1) (/.f64 x (+.f64 y 1/2))) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x))) |
(log.f64 2) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(log1p.f64 (exp.f64 x)) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
| Outputs |
|---|
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
4 calls:
| 11.0ms | x |
| 9.0ms | y |
| 8.0ms | (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
| 6.0ms | (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
| 0.0b | 1 | (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
Compiled 138 to 89 computations (35.5% saved)
| Inputs |
|---|
(*.f64 1/2 x) |
(*.f64 x (neg.f64 y)) |
(*.f64 (-.f64 1/2 y) x) |
(/.f64 (*.f64 x 1/4) (+.f64 1/2 y)) |
(/.f64 (*.f64 y (*.f64 y (neg.f64 x))) (+.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) |
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) 1) (/.f64 x (+.f64 y 1/2))) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x))) |
(log.f64 2) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(log1p.f64 (exp.f64 x)) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
| Outputs |
|---|
(*.f64 x (neg.f64 y)) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
2 calls:
| 36.0ms | y |
| 16.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 2 | x |
| 9.0b | 5 | y |
Compiled 100 to 67 computations (33% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 29.0ms | -4.756070287480474 | -1.7887311602177417e-15 |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
(*.f64 1/2 x) |
(*.f64 x (neg.f64 y)) |
(*.f64 (-.f64 1/2 y) x) |
(/.f64 (*.f64 x 1/4) (+.f64 1/2 y)) |
(/.f64 (*.f64 y (*.f64 y (neg.f64 x))) (+.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) |
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) 1) (/.f64 x (+.f64 y 1/2))) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x))) |
(log.f64 2) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(log1p.f64 (exp.f64 x)) |
| Outputs |
|---|
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
2 calls:
| 34.0ms | y |
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 2 | x |
| 9.0b | 5 | y |
Compiled 93 to 62 computations (33.3% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 30.0ms | -4.756070287480474 | -1.7887311602177417e-15 |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
(*.f64 1/2 x) |
(*.f64 x (neg.f64 y)) |
(*.f64 (-.f64 1/2 y) x) |
(/.f64 (*.f64 x 1/4) (+.f64 1/2 y)) |
(/.f64 (*.f64 y (*.f64 y (neg.f64 x))) (+.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) |
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) 1) (/.f64 x (+.f64 y 1/2))) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x))) |
(log.f64 2) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
| Outputs |
|---|
(*.f64 x (neg.f64 y)) |
(log.f64 2) |
(*.f64 x (neg.f64 y)) |
(log.f64 2) |
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
2 calls:
| 47.0ms | y |
| 36.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 10.3b | 6 | x |
| 17.4b | 7 | y |
Compiled 82 to 54 computations (34.1% saved)
| 5× | binary-search |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 4.725127280463317e-157 | 1.363330507842144e-153 |
| 27.0ms | 2.698324984156151e-194 | 4.149424677353937e-191 |
| 28.0ms | -1.8005885629189804e-104 | -3.1744601388627753e-106 |
| 29.0ms | -2.61843447116034e-72 | -6.623234042063789e-75 |
| 32.0ms | -3.308989048626094e-53 | -1.7331397192170807e-53 |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
(*.f64 1/2 x) |
(*.f64 x (neg.f64 y)) |
(*.f64 (-.f64 1/2 y) x) |
(/.f64 (*.f64 x 1/4) (+.f64 1/2 y)) |
(/.f64 (*.f64 y (*.f64 y (neg.f64 x))) (+.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) |
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) 1) (/.f64 x (+.f64 y 1/2))) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x))) |
(log.f64 2) |
| Outputs |
|---|
(*.f64 x (neg.f64 y)) |
(log.f64 2) |
(*.f64 x (neg.f64 y)) |
(log.f64 2) |
(*.f64 x (neg.f64 y)) |
(log.f64 2) |
2 calls:
| 44.0ms | y |
| 32.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 10.3b | 6 | x |
| 17.7b | 7 | y |
Compiled 76 to 49 computations (35.5% saved)
| 5× | binary-search |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 4.725127280463317e-157 | 1.363330507842144e-153 |
| 25.0ms | 2.698324984156151e-194 | 4.149424677353937e-191 |
| 26.0ms | -1.8005885629189804e-104 | -3.1744601388627753e-106 |
| 29.0ms | -2.61843447116034e-72 | -6.623234042063789e-75 |
| 36.0ms | -3.308989048626094e-53 | -1.7331397192170807e-53 |
Compiled 16 to 12 computations (25% saved)
Total -29.3b remaining (-87.4%)
Threshold costs -29.3b (-87.4%)
| Inputs |
|---|
(*.f64 1/2 x) |
(*.f64 x (neg.f64 y)) |
(*.f64 (-.f64 1/2 y) x) |
(/.f64 (*.f64 x 1/4) (+.f64 1/2 y)) |
(/.f64 (*.f64 y (*.f64 y (neg.f64 x))) (+.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) |
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) 1) (/.f64 x (+.f64 y 1/2))) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x))) |
| Outputs |
|---|
(*.f64 x (neg.f64 y)) |
2 calls:
| 6.0ms | y |
| 5.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 33.6b | 1 | x |
| 33.6b | 1 | y |
Compiled 74 to 47 computations (36.5% saved)
| 1× | egg-herbie |
| 7× | +-commutative_binary64 |
| 7× | *-commutative_binary64 |
| 5× | sub-neg_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 187 |
| 1 | 60 | 187 |
| 2 | 69 | 187 |
| 3 | 74 | 187 |
| 4 | 76 | 187 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(if (<=.f64 x -2677429546805619/562949953421312) (*.f64 x (neg.f64 y)) (fma.f64 (-.f64 1/2 y) x (log.f64 2))) |
(if (<=.f64 x -2677429546805619/562949953421312) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))) |
(if (<=.f64 x -3568406730925801/107839786668602559178668060348078522694548577690162289924414440996864) (*.f64 x (neg.f64 y)) (if (<=.f64 x -2604416611048817/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112) (log.f64 2) (if (<=.f64 x -2905980998176387/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336) (*.f64 x (neg.f64 y)) (if (<=.f64 x 2270968979712754688/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016) (log.f64 2) (if (<=.f64 x 116866762728851072/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 1/2 x) (log.f64 2))))))) |
(if (<=.f64 x -3568406730925801/107839786668602559178668060348078522694548577690162289924414440996864) (*.f64 x (neg.f64 y)) (if (<=.f64 x -2604416611048817/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112) (log.f64 2) (if (<=.f64 x -2905980998176387/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336) (*.f64 x (neg.f64 y)) (if (<=.f64 x 2270968979712754688/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016) (log.f64 2) (if (<=.f64 x 116866762728851072/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (*.f64 x (neg.f64 y)) (log.f64 2)))))) |
(*.f64 x (neg.f64 y)) |
(*.f64 1/2 x) |
| Outputs |
|---|
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(if (<=.f64 x -2677429546805619/562949953421312) (*.f64 x (neg.f64 y)) (fma.f64 (-.f64 1/2 y) x (log.f64 2))) |
(if (<=.f64 x -2677429546805619/562949953421312) (*.f64 y (neg.f64 x)) (fma.f64 (-.f64 1/2 y) x (log.f64 2))) |
(if (<=.f64 x -2677429546805619/562949953421312) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))) |
(if (<=.f64 x -2677429546805619/562949953421312) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) |
(if (<=.f64 x -2677429546805619/562949953421312) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) |
(if (<=.f64 x -3568406730925801/107839786668602559178668060348078522694548577690162289924414440996864) (*.f64 x (neg.f64 y)) (if (<=.f64 x -2604416611048817/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112) (log.f64 2) (if (<=.f64 x -2905980998176387/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336) (*.f64 x (neg.f64 y)) (if (<=.f64 x 2270968979712754688/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016) (log.f64 2) (if (<=.f64 x 116866762728851072/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 1/2 x) (log.f64 2))))))) |
(if (<=.f64 x -3568406730925801/107839786668602559178668060348078522694548577690162289924414440996864) (*.f64 x (neg.f64 y)) (if (<=.f64 x -2604416611048817/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112) (log.f64 2) (if (<=.f64 x -2905980998176387/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336) (*.f64 x (neg.f64 y)) (if (<=.f64 x 2217743144250737/82189623461693336050640466920002010399224059419112091554660639110448939910891887845526039629337319550421608888377784651765928628909121935361372105791435638280550369861381946846744746216942542457363957058371584) (log.f64 2) (if (<=.f64 x 913021583819149/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x 1/2))))))) |
(if (<=.f64 x -3568406730925801/107839786668602559178668060348078522694548577690162289924414440996864) (*.f64 y (neg.f64 x)) (if (<=.f64 x -2604416611048817/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112) (log.f64 2) (if (<=.f64 x -2905980998176387/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336) (*.f64 y (neg.f64 x)) (if (<=.f64 x 2217743144250737/82189623461693336050640466920002010399224059419112091554660639110448939910891887845526039629337319550421608888377784651765928628909121935361372105791435638280550369861381946846744746216942542457363957058371584) (log.f64 2) (if (<=.f64 x 913021583819149/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 x 1/2))))))) |
(if (<=.f64 x -3568406730925801/107839786668602559178668060348078522694548577690162289924414440996864) (*.f64 x (neg.f64 y)) (if (<=.f64 x -2604416611048817/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112) (log.f64 2) (if (<=.f64 x -2905980998176387/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336) (*.f64 x (neg.f64 y)) (if (<=.f64 x 2270968979712754688/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016) (log.f64 2) (if (<=.f64 x 116866762728851072/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (*.f64 x (neg.f64 y)) (log.f64 2)))))) |
(if (<=.f64 x -3568406730925801/107839786668602559178668060348078522694548577690162289924414440996864) (*.f64 x (neg.f64 y)) (if (<=.f64 x -2604416611048817/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112) (log.f64 2) (if (<=.f64 x -2905980998176387/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336) (*.f64 x (neg.f64 y)) (if (<=.f64 x 2217743144250737/82189623461693336050640466920002010399224059419112091554660639110448939910891887845526039629337319550421608888377784651765928628909121935361372105791435638280550369861381946846744746216942542457363957058371584) (log.f64 2) (if (<=.f64 x 913021583819149/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (*.f64 x (neg.f64 y)) (log.f64 2)))))) |
(if (<=.f64 x -3568406730925801/107839786668602559178668060348078522694548577690162289924414440996864) (*.f64 y (neg.f64 x)) (if (<=.f64 x -2604416611048817/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112) (log.f64 2) (if (<=.f64 x -2905980998176387/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336) (*.f64 y (neg.f64 x)) (if (<=.f64 x 2217743144250737/82189623461693336050640466920002010399224059419112091554660639110448939910891887845526039629337319550421608888377784651765928628909121935361372105791435638280550369861381946846744746216942542457363957058371584) (log.f64 2) (if (<=.f64 x 913021583819149/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (*.f64 y (neg.f64 x)) (log.f64 2)))))) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.f64 x)) |
(*.f64 1/2 x) |
(*.f64 x 1/2) |
Compiled 139 to 92 computations (33.8% saved)
| 1× | egg-herbie |
| 479× | fma-def_binary64 |
| 369× | times-frac_binary64 |
| 368× | associate-*l*_binary64 |
| 315× | associate-/l*_binary64 |
| 289× | associate-/l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 11 |
| 1 | 19 | 11 |
| 2 | 30 | 11 |
| 3 | 47 | 11 |
| 4 | 66 | 11 |
| 5 | 100 | 11 |
| 6 | 154 | 11 |
| 7 | 206 | 11 |
| 8 | 275 | 11 |
| 9 | 354 | 11 |
| 10 | 416 | 11 |
| 11 | 442 | 11 |
| 12 | 521 | 11 |
| 13 | 749 | 11 |
| 14 | 1685 | 11 |
| 15 | 4925 | 11 |
| 16 | 6027 | 11 |
| 17 | 7666 | 11 |
| 1× | node limit |
Compiled 20 to 14 computations (30% saved)
Compiled 127 to 72 computations (43.3% saved)
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