Time bar (total: 6.8s)
| 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)
| 2.9s | 2619× | body | 8192 | exit |
| 981.0ms | 7507× | body | 64 | valid |
| 195.0ms | 251× | body | 1024 | valid |
| 134.0ms | 253× | body | 512 | valid |
| 57.0ms | 160× | body | 256 | valid |
| 24.0ms | 85× | body | 128 | valid |
| 19.0ms | 150× | body | 64 | invalid |
| 2× | egg-herbie |
| 732× | times-frac_binary64 |
| 550× | fma-def_binary64 |
| 438× | associate-/r/_binary64 |
| 411× | fabs-mul_binary64 |
| 311× | sqr-pow_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 | 320 | 22 |
| 8 | 425 | 22 |
| 9 | 543 | 22 |
| 10 | 635 | 22 |
| 11 | 675 | 22 |
| 12 | 823 | 22 |
| 13 | 1264 | 22 |
| 14 | 2823 | 22 |
| 15 | 5548 | 22 |
| 16 | 6917 | 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)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x)) |
(-.f64 (log1p.f64 (exp.f64 y)) (*.f64 x y)) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
| 479× | fma-def_binary64 |
| 423× | fabs-mul_binary64 |
| 369× | times-frac_binary64 |
| 363× | associate-*l*_binary64 |
| 304× | fabs-div_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 | 205 | 11 |
| 8 | 273 | 11 |
| 9 | 352 | 11 |
| 10 | 414 | 11 |
| 11 | 440 | 11 |
| 12 | 519 | 11 |
| 13 | 747 | 11 |
| 14 | 1549 | 11 |
| 15 | 4642 | 11 |
| 16 | 5736 | 11 |
| 17 | 7224 | 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)) |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| 0.8b | (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) | |
| ▶ | 0.8b | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
Compiled 58 to 38 computations (34.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| ✓ | 0.7b | (log1p.f64 (exp.f64 x)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | x | @ | inf | (log1p.f64 (exp.f64 x)) |
| 25.0ms | x | @ | -inf | (log1p.f64 (exp.f64 x)) |
| 4.0ms | y | @ | 0 | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| 1.0ms | x | @ | 0 | (log1p.f64 (exp.f64 x)) |
| 1.0ms | x | @ | 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 | 16 |
| 1 | 147 | 16 |
| 2 | 2012 | 16 |
| 1× | node limit |
| Inputs |
|---|
(log1p.f64 (exp.f64 x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))))))) |
((#(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 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)))))) (#(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 log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))) |
| 1× | egg-herbie |
| 627× | fma-neg_binary64 |
| 566× | associate-*l*_binary64 |
| 538× | distribute-lft-out_binary64 |
| 418× | distribute-rgt-neg-in_binary64 |
| 383× | distribute-lft-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 363 |
| 1 | 86 | 333 |
| 2 | 182 | 333 |
| 3 | 431 | 321 |
| 4 | 1390 | 321 |
| 5 | 3741 | 321 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 2) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (log.f64 2))) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2)))) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(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 1/2 x) (log.f64 2)) |
(fma.f64 1/2 x (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (log.f64 2))) |
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2))) |
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (log.f64 2))) |
(fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2)))) |
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) |
(fma.f64 1/2 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 1/2) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log1p.f64 (exp.f64 x)) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log1p.f64 (exp.f64 x)) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log1p.f64 (exp.f64 x)) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log1p.f64 (exp.f64 x)) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log1p.f64 (exp.f64 x)) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log1p.f64 (exp.f64 x)) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log1p.f64 (exp.f64 x)) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log1p.f64 (exp.f64 x)) |
(log.f64 2) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (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 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2))) |
(fma.f64 x (-.f64 1/2 y) (fma.f64 x (*.f64 x 1/8) (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 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) |
(fma.f64 x (-.f64 1/2 y) (fma.f64 x (*.f64 x 1/8) (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 x y)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(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 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 69 | 2 | 71 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 69 | 4 | 73 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.8b | (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
| 10.6b | (fma.f64 x (-.f64 1/2 y) (log.f64 2)) | |
| ✓ | 0.8b | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| 13.3b | (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) |
Compiled 1048 to 403 computations (61.5% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
| ✓ | 0.0b | (+.f64 1 (exp.f64 x)) |
| ✓ | 0.8b | (log.f64 (+.f64 1 (exp.f64 x))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | (+.f64 1 (exp.f64 x)) |
| 0.0ms | x | @ | inf | (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
| 0.0ms | x | @ | 0 | (+.f64 1 (exp.f64 x)) |
| 0.0ms | x | @ | 0 | (log.f64 (+.f64 1 (exp.f64 x))) |
| 0.0ms | x | @ | 0 | (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
| 1× | batch-egg-rewrite |
| 702× | prod-diff_binary64 |
| 447× | log-prod_binary64 |
| 319× | fma-def_binary64 |
| 293× | pow-prod-down_binary64 |
| 243× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 22 |
| 1 | 188 | 22 |
| 2 | 2513 | 22 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 1 (exp.f64 x))) |
(+.f64 1 (exp.f64 x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))) (*.f64 2 (*.f64 1/3 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (exp.f64 x)))) (*.f64 1/3 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) (*.f64 1/2 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (log.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (log.f64 (neg.f64 (-.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (expm1.f64 (+.f64 x x))) (log.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (E.f64) (*.f64 2 (*.f64 1/3 (log1p.f64 (exp.f64 x))))) (pow.f64 (E.f64) (*.f64 1/3 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 (exp.f64 x)))) (pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (neg.f64 (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))) (E.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (E.f64) (log1p.f64 (pow.f64 (exp.f64 x) 3))) (pow.f64 (E.f64) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (E.f64) (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2)))) (pow.f64 (E.f64) (log1p.f64 (neg.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 1) (cbrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1) (sqrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 x) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (exp.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x)))))))) |
((#(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 (*.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 x) y (*.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 -1 (*.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 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log1p.f64 (exp.f64 x)) (*.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 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) x)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) x)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) x)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) x)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) x)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))))) (#(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 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)))) (#(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 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))))) (#(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 (fma.f64 x y (log1p.f64 (exp.f64 x)))))))) (#(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 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.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 (fma.f64 x y (log1p.f64 (exp.f64 x))) (-.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)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x))))))) (#(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 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))))) (#(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 (fma.f64 x y (log1p.f64 (exp.f64 x)))))))) (#(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 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.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) (pow.f64 (*.f64 x (neg.f64 y)) 2)) (-.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)) 2) 1/2)))) (#(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 pow.f64 (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) -1)))) (#(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 log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (exp.f64 x)) (+.f64 1 (expm1.f64 (*.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 fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.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 fma.f64 1 (-.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 fma.f64 1 (-.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 fma.f64 1 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 (exp.f64 x)) 1 (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 (exp.f64 x)) 1 (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1 (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1 (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 fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (neg.f64 (cbrt.f64 (*.f64 x y))) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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) (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 fma.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))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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))) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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))) (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 fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(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 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.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 fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.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 fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.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 fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.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 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (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 fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) 2) (cbrt.f64 (*.f64 x (neg.f64 y))) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x y) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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))) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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))) (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 fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) y (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log1p.f64 (exp.f64 x)))))) (#(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 exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1) 1))))) (#(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 expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))) |
| 1× | egg-herbie |
| 803× | unswap-sqr_binary64 |
| 560× | cancel-sign-sub-inv_binary64 |
| 518× | fma-def_binary64 |
| 449× | fma-neg_binary64 |
| 384× | distribute-lft-out_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 357 |
| 1 | 114 | 327 |
| 2 | 252 | 327 |
| 3 | 636 | 311 |
| 4 | 1949 | 311 |
| 5 | 3758 | 311 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 2) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (log.f64 2))) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2)))) |
2 |
(+.f64 2 x) |
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))) |
(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 1/2 x) (log.f64 2)) |
(fma.f64 1/2 x (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (log.f64 2))) |
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2))) |
(fma.f64 x (*.f64 x 1/8) (fma.f64 1/2 x (log.f64 2))) |
(fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2)))) |
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) |
(fma.f64 1/2 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 1/2) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) |
2 |
(+.f64 2 x) |
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(+.f64 2 (fma.f64 1/2 (*.f64 x x) x)) |
(fma.f64 1/2 (*.f64 x x) (+.f64 2 x)) |
(fma.f64 (fma.f64 1/2 x 1) x 2) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))) |
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 (fma.f64 1/2 (*.f64 x x) x))) |
(+.f64 (fma.f64 1/2 (*.f64 x x) x) (fma.f64 1/6 (pow.f64 x 3) 2)) |
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (+.f64 2 x))) |
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 (fma.f64 1/2 x 1) x 2)) |
(fma.f64 (fma.f64 1/2 x 1) x (fma.f64 1/6 (pow.f64 x 3) 2)) |
(log.f64 2) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (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 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2))) |
(fma.f64 x (*.f64 x 1/8) (fma.f64 x (-.f64 1/2 y) (log.f64 2))) |
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)) |
(fma.f64 x (fma.f64 x 1/8 (-.f64 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 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) |
(fma.f64 x (-.f64 1/2 y) (fma.f64 x (*.f64 x 1/8) (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))) |
(fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x))) |
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x))) |
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x))) |
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x))) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x))) |
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x))) |
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x))) |
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 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 x y)) (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x))) |
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x))) |
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x))) |
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x))) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x))) |
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x))) |
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x))) |
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x))) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x))) |
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x))) |
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x))) |
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x))) |
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 261 | 2 | 263 |
| Fresh | 2 | 0 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 263 | 4 | 267 |
| Status | Error | Program |
|---|---|---|
| ▶ | 10.6b | (fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
| 13.3b | (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) | |
| ✓ | 0.8b | (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
| ✓ | 0.8b | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
Compiled 5026 to 1756 computations (65.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
| 2.0ms | y | @ | 0 | (fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
| 1.0ms | x | @ | -inf | (fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
| 1.0ms | y | @ | inf | (fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
| 0.0ms | x | @ | inf | (fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
| 1× | batch-egg-rewrite |
| 834× | pow1_binary64 |
| 776× | add-log-exp_binary64 |
| 775× | log1p-expm1-u_binary64 |
| 775× | expm1-log1p-u_binary64 |
| 762× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 170 | 10 |
| 2 | 2028 | 10 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) 1) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))))) |
| 1× | egg-herbie |
| 267× | fma-neg_binary64 |
| 251× | fma-def_binary64 |
| 87× | cancel-sign-sub-inv_binary64 |
| 43× | sub-neg_binary64 |
| 40× | associate--r+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 216 |
| 1 | 33 | 216 |
| 2 | 60 | 216 |
| 3 | 106 | 216 |
| 4 | 157 | 216 |
| 5 | 252 | 216 |
| 6 | 454 | 216 |
| 7 | 665 | 216 |
| 8 | 877 | 216 |
| 9 | 1096 | 216 |
| 10 | 1116 | 216 |
| 1× | saturated |
| Inputs |
|---|
(log.f64 2) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(*.f64 (-.f64 1/2 y) x) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(*.f64 (-.f64 1/2 y) x) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.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)))) |
| 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) (log.f64 2)) |
(fma.f64 (-.f64 1/2 y) x (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 1/2 y) x) |
(+.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) (log.f64 2)) |
(fma.f64 (-.f64 1/2 y) x (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 1/2 y) x) |
(+.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) (log.f64 2)) |
(fma.f64 (-.f64 1/2 y) x (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 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)))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 28 | 2 | 30 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 30 | 4 | 34 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.8b | (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
| 20.8b | (expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) | |
| ✓ | 0.8b | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| ▶ | 12.0b | (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) |
Compiled 409 to 317 computations (22.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (fma.f64 x (-.f64 1/2 y) (log.f64 2)) | |
| ✓ | 0.3b | (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) |
| ✓ | 0.7b | (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) |
| ✓ | 1.1b | (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) |
| 1.0ms | y | @ | 0 | (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) |
| 1.0ms | y | @ | 0 | (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) |
| 1.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) |
| 1.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) |
| 1× | batch-egg-rewrite |
| 967× | pow1_binary64 |
| 902× | add-log-exp_binary64 |
| 901× | log1p-expm1-u_binary64 |
| 901× | expm1-log1p-u_binary64 |
| 104× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 37 |
| 1 | 234 | 37 |
| 2 | 2483 | 37 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) |
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1/3) (pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) 1) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))))))) |
| 1× | egg-herbie |
| 852× | fma-def_binary64 |
| 586× | *-commutative_binary64 |
| 514× | unswap-sqr_binary64 |
| 279× | distribute-rgt-in_binary64 |
| 278× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 144 | 1489 |
| 1 | 448 | 1359 |
| 2 | 1656 | 1354 |
| 3 | 5353 | 1354 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (log.f64 2) 1/3) |
(+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 1/2 y) x) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))) (pow.f64 (log.f64 2) 1/3)) |
(+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 1/2 y) x) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))) (+.f64 (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9))) (pow.f64 (log.f64 2) 1/3))) |
(+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 1/2 y) x) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))) (+.f64 (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9))) (+.f64 (pow.f64 (log.f64 2) 1/3) (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 (-.f64 1/2 y) 3)))) (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)))))) |
(pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1/3) |
(+.f64 (*.f64 -1/3 (*.f64 (*.f64 y x) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/9))) (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1/3)) |
(+.f64 (*.f64 -1/3 (*.f64 (*.f64 y x) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/9))) (+.f64 (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 7)) 1/9))) (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1/3))) |
(+.f64 (*.f64 -1/3 (*.f64 (*.f64 y x) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/9))) (+.f64 (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 7)) 1/9))) (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/3) (pow.f64 x 3))) (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/3) (pow.f64 x 3))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/3))) (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1/3)))) |
(log.f64 2) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(*.f64 (-.f64 1/2 y) x) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(*.f64 (-.f64 1/2 y) x) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.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)))) |
(pow.f64 (pow.f64 (log.f64 2) 2) 1/3) |
(+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (*.f64 2/3 (*.f64 (*.f64 (-.f64 1/2 y) x) (pow.f64 (log.f64 2) 1/9)))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (pow.f64 (-.f64 1/2 y) 2)))) (pow.f64 x 2)) (+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (*.f64 2/3 (*.f64 (*.f64 (-.f64 1/2 y) x) (pow.f64 (log.f64 2) 1/9))))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (pow.f64 (-.f64 1/2 y) 2)))) (pow.f64 x 2)) (+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 (-.f64 1/2 y) 3)))))) (*.f64 -2/27 (/.f64 (pow.f64 (-.f64 1/2 y) 3) (log.f64 2)))) (pow.f64 x 3)) (*.f64 2/3 (*.f64 (*.f64 (-.f64 1/2 y) x) (pow.f64 (log.f64 2) 1/9)))))) |
(pow.f64 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2) 1/3) |
(+.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2) 1/3) (*.f64 -2/3 (*.f64 (*.f64 y x) (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1/9)))) |
(+.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2) 1/3) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 4)) 1/9) (pow.f64 x 2))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 4)) 1/9) (pow.f64 x 2))))) (*.f64 -2/3 (*.f64 (*.f64 y x) (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1/9))))) |
(+.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2) 1/3) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 4)) 1/9) (pow.f64 x 2))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 4)) 1/9) (pow.f64 x 2))))) (+.f64 (*.f64 -2/3 (*.f64 (*.f64 y x) (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1/9))) (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -2/3 (*.f64 (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/3) (pow.f64 x 3))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/3) (pow.f64 x 3)))) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2))) 1/3))) (*.f64 2/27 (/.f64 (pow.f64 x 3) (+.f64 (*.f64 1/2 x) (log.f64 2))))))))) |
| Outputs |
|---|
(pow.f64 (log.f64 2) 1/3) |
(cbrt.f64 (log.f64 2)) |
(+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 1/2 y) x) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))) (pow.f64 (log.f64 2) 1/3)) |
(fma.f64 1/3 (*.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))) (cbrt.f64 (log.f64 2))) |
(fma.f64 (*.f64 1/3 (*.f64 (-.f64 1/2 y) x)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (cbrt.f64 (log.f64 2))) |
(fma.f64 1/3 (*.f64 x (*.f64 (-.f64 1/2 y) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)))) (cbrt.f64 (log.f64 2))) |
(fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (*.f64 1/3 (*.f64 (-.f64 1/2 y) x)) (cbrt.f64 (log.f64 2))) |
(+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 1/2 y) x) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))) (+.f64 (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9))) (pow.f64 (log.f64 2) 1/3))) |
(fma.f64 1/3 (*.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 x x)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18))) (cbrt.f64 (log.f64 2)))) |
(fma.f64 1/3 (*.f64 x (*.f64 (-.f64 1/2 y) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)))) (fma.f64 -1/9 (*.f64 (*.f64 x (*.f64 x (pow.f64 (-.f64 1/2 y) 2))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18))) (cbrt.f64 (log.f64 2)))) |
(fma.f64 -1/9 (*.f64 (*.f64 x (*.f64 x (pow.f64 (-.f64 1/2 y) 2))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18))) (fma.f64 1/3 (*.f64 x (*.f64 (-.f64 1/2 y) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)))) (cbrt.f64 (log.f64 2)))) |
(fma.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))) (fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 -1/9 (*.f64 x x)))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (cbrt.f64 (log.f64 2)))) |
(+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 1/2 y) x) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))) (+.f64 (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9))) (+.f64 (pow.f64 (log.f64 2) 1/3) (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 (-.f64 1/2 y) 3)))) (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)))))) |
(fma.f64 1/3 (*.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))) (+.f64 (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 x x)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18))) (cbrt.f64 (log.f64 2))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (*.f64 (fma.f64 1/27 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)))) (*.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)))) -2/9)) (pow.f64 x 3)))))) |
(fma.f64 1/3 (*.f64 x (*.f64 (-.f64 1/2 y) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)))) (fma.f64 -1/9 (*.f64 (*.f64 x (*.f64 x (pow.f64 (-.f64 1/2 y) 2))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)))) -5/27) (pow.f64 x 3))) (cbrt.f64 (log.f64 2))))) |
(fma.f64 1/3 (*.f64 x (*.f64 (-.f64 1/2 y) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)))) (fma.f64 -1/9 (*.f64 (*.f64 x (*.f64 x (pow.f64 (-.f64 1/2 y) 2))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18))) (fma.f64 (*.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)))) -5/27) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (pow.f64 x 3))) (cbrt.f64 (log.f64 2))))) |
(fma.f64 1/3 (*.f64 (-.f64 1/2 y) (*.f64 x (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)))) (fma.f64 -1/9 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)))) (fma.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) -5/27)) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (pow.f64 x 3))) (cbrt.f64 (log.f64 2))))) |
(pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1/3) |
(cbrt.f64 (fma.f64 1/2 x (log.f64 2))) |
(+.f64 (*.f64 -1/3 (*.f64 (*.f64 y x) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/9))) (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1/3)) |
(fma.f64 -1/3 (*.f64 (*.f64 y x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18))) (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) |
(fma.f64 (*.f64 -1/3 (*.f64 y x)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18)) (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) |
(fma.f64 -1/3 (*.f64 y (*.f64 x (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18)))) (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) |
(fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18)) (*.f64 y (*.f64 x -1/3)) (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) |
(+.f64 (*.f64 -1/3 (*.f64 (*.f64 y x) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/9))) (+.f64 (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 7)) 1/9))) (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1/3))) |
(fma.f64 -1/3 (*.f64 (*.f64 y x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18))) (fma.f64 -1/9 (*.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18))) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))) |
(fma.f64 -1/3 (*.f64 y (*.f64 x (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18)))) (fma.f64 -1/9 (*.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18)))) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))) |
(fma.f64 y (*.f64 -1/3 (*.f64 x (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18)))) (fma.f64 -1/9 (*.f64 (*.f64 x x) (*.f64 (*.f64 y (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18)) (*.f64 y (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18)))) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))) |
(fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18)) (*.f64 y (*.f64 x -1/3)) (fma.f64 -1/9 (*.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18)))) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))) |
(+.f64 (*.f64 -1/3 (*.f64 (*.f64 y x) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/9))) (+.f64 (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 7)) 1/9))) (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/3) (pow.f64 x 3))) (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/3) (pow.f64 x 3))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/3))) (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1/3)))) |
(fma.f64 -1/3 (*.f64 (*.f64 y x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18))) (fma.f64 -1/9 (*.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) (*.f64 (pow.f64 y 3) (*.f64 (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))) 5/27))) (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))) |
(fma.f64 (*.f64 -1/3 (*.f64 y x)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18)) (fma.f64 -1/9 (*.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18)))) (fma.f64 -1/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) (pow.f64 y 3)) (*.f64 (pow.f64 x 3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) 5/27))) (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))) |
(fma.f64 -1/9 (*.f64 (*.f64 x x) (*.f64 (*.f64 y (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18)) (*.f64 y (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18)))) (fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18)) (*.f64 y (*.f64 x -1/3)) (fma.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) (*.f64 (pow.f64 x 3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) 5/27))) (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))) |
(fma.f64 -1/9 (*.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18)))) (fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18)) (*.f64 y (*.f64 x -1/3)) (fma.f64 -1/3 (*.f64 (pow.f64 y 3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) (*.f64 (pow.f64 x 3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) 5/27)))) (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))) |
(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) (log.f64 2)) |
(fma.f64 (-.f64 1/2 y) x (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 1/2 y) x) |
(+.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) (log.f64 2)) |
(fma.f64 (-.f64 1/2 y) x (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 1/2 y) x) |
(+.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) (log.f64 2)) |
(fma.f64 (-.f64 1/2 y) x (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 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)))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(pow.f64 (pow.f64 (log.f64 2) 2) 1/3) |
(cbrt.f64 (pow.f64 (log.f64 2) 2)) |
(+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (*.f64 2/3 (*.f64 (*.f64 (-.f64 1/2 y) x) (pow.f64 (log.f64 2) 1/9)))) |
(+.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (*.f64 2/3 (*.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18))))) |
(fma.f64 2/3 (*.f64 (-.f64 1/2 y) (*.f64 (*.f64 x (pow.f64 (log.f64 2) 1/18)) (pow.f64 (log.f64 2) 1/18))) (cbrt.f64 (pow.f64 (log.f64 2) 2))) |
(fma.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 2/3 (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18))) (cbrt.f64 (pow.f64 (log.f64 2) 2))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (pow.f64 (-.f64 1/2 y) 2)))) (pow.f64 x 2)) (+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (*.f64 2/3 (*.f64 (*.f64 (-.f64 1/2 y) x) (pow.f64 (log.f64 2) 1/9))))) |
(fma.f64 (fma.f64 1/9 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18))) (*.f64 -2/9 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18))))) (*.f64 x x) (+.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (*.f64 2/3 (*.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)))))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18))) -1/9) (fma.f64 2/3 (*.f64 (-.f64 1/2 y) (*.f64 (*.f64 x (pow.f64 (log.f64 2) 1/18)) (pow.f64 (log.f64 2) 1/18))) (cbrt.f64 (pow.f64 (log.f64 2) 2)))) |
(fma.f64 x (*.f64 x (*.f64 -1/9 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18))))) (fma.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 2/3 (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18))) (cbrt.f64 (pow.f64 (log.f64 2) 2)))) |
(fma.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18)) -1/9)) (fma.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 2/3 (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18))) (cbrt.f64 (pow.f64 (log.f64 2) 2)))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (pow.f64 (-.f64 1/2 y) 2)))) (pow.f64 x 2)) (+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 (-.f64 1/2 y) 3)))))) (*.f64 -2/27 (/.f64 (pow.f64 (-.f64 1/2 y) 3) (log.f64 2)))) (pow.f64 x 3)) (*.f64 2/3 (*.f64 (*.f64 (-.f64 1/2 y) x) (pow.f64 (log.f64 2) 1/9)))))) |
(fma.f64 (fma.f64 1/9 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18))) (*.f64 -2/9 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18))))) (*.f64 x x) (+.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (fma.f64 (fma.f64 -2/3 (*.f64 (fma.f64 1/27 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)))) (*.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)))) -2/9)) (cbrt.f64 (/.f64 1 (log.f64 2)))) (*.f64 -2/27 (/.f64 (pow.f64 (-.f64 1/2 y) 3) (log.f64 2)))) (pow.f64 x 3) (*.f64 2/3 (*.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18))))))) |
(+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18))) -1/9) (fma.f64 2/3 (*.f64 (-.f64 1/2 y) (*.f64 (*.f64 x (pow.f64 (log.f64 2) 1/18)) (pow.f64 (log.f64 2) 1/18))) (cbrt.f64 (pow.f64 (log.f64 2) 2)))) (*.f64 (pow.f64 x 3) (fma.f64 -2/3 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)))) -5/27) (cbrt.f64 (/.f64 1 (log.f64 2)))) (*.f64 -2/27 (/.f64 (pow.f64 (-.f64 1/2 y) 3) (log.f64 2)))))) |
(fma.f64 x (*.f64 x (*.f64 -1/9 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18))))) (fma.f64 (-.f64 1/2 y) (*.f64 2/3 (*.f64 x (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)))) (fma.f64 (pow.f64 x 3) (fma.f64 (*.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)))) -5/27) (*.f64 -2/3 (cbrt.f64 (/.f64 1 (log.f64 2)))) (*.f64 -2/27 (/.f64 (pow.f64 (-.f64 1/2 y) 3) (log.f64 2)))) (cbrt.f64 (pow.f64 (log.f64 2) 2))))) |
(fma.f64 x (*.f64 x (*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18)) -1/9))) (fma.f64 (-.f64 1/2 y) (*.f64 2/3 (*.f64 x (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)))) (fma.f64 (pow.f64 x 3) (fma.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) -5/27)) (*.f64 -2/3 (cbrt.f64 (/.f64 1 (log.f64 2)))) (*.f64 -2/27 (/.f64 (pow.f64 (-.f64 1/2 y) 3) (log.f64 2)))) (cbrt.f64 (pow.f64 (log.f64 2) 2))))) |
(pow.f64 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2) 1/3) |
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) |
(+.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2) 1/3) (*.f64 -2/3 (*.f64 (*.f64 y x) (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1/9)))) |
(+.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (*.f64 -2/3 (*.f64 y (*.f64 x (*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 1/18) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 1/18)))))) |
(fma.f64 -2/3 (*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 1/18) (*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 1/18) (*.f64 y x))) (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) |
(fma.f64 y (*.f64 -2/3 (*.f64 x (*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 1/18) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 1/18)))) (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) |
(+.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2) 1/3) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 4)) 1/9) (pow.f64 x 2))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 4)) 1/9) (pow.f64 x 2))))) (*.f64 -2/3 (*.f64 (*.f64 y x) (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1/9))))) |
(+.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (fma.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4)) 1/18))) -1/9) (*.f64 -2/3 (*.f64 y (*.f64 x (*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 1/18) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 1/18))))))) |
(+.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (fma.f64 (*.f64 y y) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4)) 1/18)) (*.f64 (*.f64 x x) -1/9)) (*.f64 y (*.f64 (*.f64 x (*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 1/18) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 1/18))) -2/3)))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4)) 1/18)) (*.f64 -1/9 (*.f64 x x))) (fma.f64 y (*.f64 -2/3 (*.f64 x (*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 1/18) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 1/18)))) (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 x x) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4)) 1/18)))) (fma.f64 y (*.f64 -2/3 (*.f64 x (*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 1/18) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 1/18)))) (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))) |
(+.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2) 1/3) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 4)) 1/9) (pow.f64 x 2))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 4)) 1/9) (pow.f64 x 2))))) (+.f64 (*.f64 -2/3 (*.f64 (*.f64 y x) (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1/9))) (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -2/3 (*.f64 (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/3) (pow.f64 x 3))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/3) (pow.f64 x 3)))) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2))) 1/3))) (*.f64 2/27 (/.f64 (pow.f64 x 3) (+.f64 (*.f64 1/2 x) (log.f64 2))))))))) |
(+.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (fma.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4)) 1/18))) -1/9) (fma.f64 -2/3 (*.f64 y (*.f64 x (*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 1/18) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 1/18)))) (*.f64 (pow.f64 y 3) (fma.f64 -2/3 (*.f64 (*.f64 (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))) 5/27) (cbrt.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))) (*.f64 2/27 (/.f64 (pow.f64 x 3) (fma.f64 1/2 x (log.f64 2))))))))) |
(+.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (fma.f64 (*.f64 y y) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4)) 1/18)) (*.f64 (*.f64 x x) -1/9)) (fma.f64 (pow.f64 y 3) (fma.f64 -2/3 (*.f64 (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))) (*.f64 5/27 (cbrt.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))) (/.f64 2/27 (/.f64 (fma.f64 1/2 x (log.f64 2)) (pow.f64 x 3)))) (*.f64 y (*.f64 (*.f64 x (*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 1/18) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 1/18))) -2/3))))) |
(+.f64 (fma.f64 y (*.f64 -2/3 (*.f64 x (*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 1/18) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 1/18)))) (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4)) 1/18)) (*.f64 -1/9 (*.f64 x x))) (*.f64 y (fma.f64 (*.f64 (pow.f64 x 3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) 5/27)) (*.f64 -2/3 (cbrt.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))) (*.f64 (/.f64 2/27 (fma.f64 1/2 x (log.f64 2))) (pow.f64 x 3))))))) |
(+.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (fma.f64 (pow.f64 y 3) (fma.f64 (*.f64 (pow.f64 x 3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) 5/27)) (*.f64 -2/3 (cbrt.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))) (*.f64 2/27 (/.f64 (pow.f64 x 3) (fma.f64 1/2 x (log.f64 2))))) (*.f64 y (+.f64 (*.f64 -2/3 (*.f64 x (*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 1/18) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 1/18)))) (*.f64 y (*.f64 (*.f64 x x) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4)) 1/18))))))))) |
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 191 | 3 | 194 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 192 | 6 | 198 |
| Status | Error | Program |
|---|---|---|
| 30.4b | (log.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 1/2 y))) 2)) | |
| 21.8b | (*.f64 (pow.f64 (exp.f64 (log.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) | |
| ✓ | 0.8b | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| 13.2b | (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) | |
| ✓ | 0.8b | (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
| ✓ | 12.0b | (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) |
Compiled 5948 to 4935 computations (17% saved)
Total -30.7b remaining (-4051.5%)
Threshold costs -30.7b (-4051.5%)
| Inputs |
|---|
(log.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 1/2 y))) 2)) |
(*.f64 (pow.f64 (exp.f64 (log.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) |
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) |
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) |
(-.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)) |
| 6.0ms | 0.8b | x |
| 10.0ms | 0.8b | y |
| 5.0ms | 0.8b | (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
Compiled 146 to 97 computations (33.6% saved)
| 1× | egg-herbie |
| 4× | +-commutative_binary64 |
| 4× | *-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 13 | 11 |
| 2 | 25 | 11 |
| 3 | 31 | 11 |
| 4 | 35 | 11 |
| 5 | 36 | 11 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| Outputs |
|---|
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| 1× | fuel |
Compiled 18 to 12 computations (33.3% saved)
Loading profile data...