Time bar (total: 6.2s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 25% | 74.9% | 0.1% | 5 |
| 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 |
| 65.2% | 25.9% | 8.9% | 13 |
| 66% | 25.1% | 8.9% | 14 |
Compiled 12 to 9 computations (25% saved)
| 2.4s | 2595× | body | 8192 | exit |
| 965.0ms | 7589× | body | 128 | valid |
| 155.0ms | 218× | body | 1024 | valid |
| 100.0ms | 256× | body | 512 | valid |
| 48.0ms | 191× | body | 256 | valid |
| 8.0ms | 64× | body | 128 | invalid |
| 3.0ms | 2× | body | 2048 | valid |
Compiled 24 to 18 computations (25% saved)
| 2× | egg-herbie |
| 732× | times-frac_binary64 |
| 438× | associate-/r/_binary64 |
| 300× | fma-def_binary64 |
| 232× | unswap-sqr_binary64 |
| 157× | fma-neg_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 |
| 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 |
| 369× | times-frac_binary64 |
| 363× | associate-*l*_binary64 |
| 285× | associate-/l/_binary64 |
| 280× | associate-/l*_binary64 |
| 262× | associate-/r*_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 |
| 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)) |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.3b | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
Compiled 36 to 22 computations (38.9% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| ✓ | 0.3b | (log1p.f64 (exp.f64 x)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 98.0ms | x | @ | inf | (log1p.f64 (exp.f64 x)) |
| 62.0ms | x | @ | -inf | (log1p.f64 (exp.f64 x)) |
| 13.0ms | y | @ | 0 | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| 12.0ms | x | @ | -inf | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| 11.0ms | y | @ | inf | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| 1× | batch-egg-rewrite |
| 792× | pow1_binary64 |
| 733× | expm1-log1p-u_binary64 |
| 732× | log1p-expm1-u_binary64 |
| 78× | add-sqr-sqrt_binary64 |
| 77× | *-un-lft-identity_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 (exp.f64 (log1p.f64 (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 exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))))) (#(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 log.f64 (+.f64 1 (expm1.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 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 log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))) |
| 1× | egg-herbie |
| 537× | fma-def_binary64 |
| 237× | distribute-lft-out_binary64 |
| 196× | sub-neg_binary64 |
| 194× | *-commutative_binary64 |
| 188× | distribute-rgt-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 356 |
| 1 | 81 | 350 |
| 2 | 201 | 337 |
| 3 | 652 | 321 |
| 4 | 2594 | 321 |
| 5 | 4861 | 321 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 2) |
(+.f64 (log.f64 2) (*.f64 1/2 x)) |
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))) |
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))) (*.f64 1/192 (pow.f64 x 4))) |
(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 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))) (*.f64 y x)) |
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))) (+.f64 (*.f64 y x) (*.f64 1/192 (pow.f64 x 4)))) |
(*.f64 -1 (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
| Outputs |
|---|
(log.f64 2) |
(+.f64 (log.f64 2) (*.f64 1/2 x)) |
(fma.f64 1/2 x (log.f64 2)) |
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))) |
(+.f64 (log.f64 2) (fma.f64 1/8 (*.f64 x x) (*.f64 1/2 x))) |
(+.f64 (log.f64 2) (fma.f64 1/2 x (*.f64 x (*.f64 x 1/8)))) |
(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 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))) (*.f64 1/192 (pow.f64 x 4))) |
(+.f64 (log.f64 2) (-.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 1/2 x)) (*.f64 1/192 (pow.f64 x 4)))) |
(+.f64 (log.f64 2) (-.f64 (fma.f64 1/2 x (*.f64 x (*.f64 x 1/8))) (*.f64 1/192 (pow.f64 x 4)))) |
(fma.f64 (pow.f64 x 4) -1/192 (fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (log.f64 2)))) |
(fma.f64 (pow.f64 x 4) -1/192 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) |
(fma.f64 x (fma.f64 x 1/8 1/2) (fma.f64 (pow.f64 x 4) -1/192 (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 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(+.f64 (log.f64 2) (-.f64 (*.f64 1/2 x) (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))) (*.f64 y x)) |
(+.f64 (log.f64 2) (-.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 1/2 x)) (*.f64 x y))) |
(+.f64 (log.f64 2) (+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y)))) |
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))) |
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)) |
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))) (+.f64 (*.f64 y x) (*.f64 1/192 (pow.f64 x 4)))) |
(+.f64 (log.f64 2) (-.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 1/2 x)) (fma.f64 y x (*.f64 1/192 (pow.f64 x 4))))) |
(+.f64 (fma.f64 1/2 x (*.f64 x (*.f64 x 1/8))) (-.f64 (log.f64 2) (fma.f64 x y (*.f64 1/192 (pow.f64 x 4))))) |
(+.f64 (*.f64 (pow.f64 x 4) -1/192) (+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))) |
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (fma.f64 (pow.f64 x 4) -1/192 (log.f64 2))) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.f64 x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.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 y (neg.f64 x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.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 y x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.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 y (neg.f64 x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.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 y (neg.f64 x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 71 | 3 | 74 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 72 | 3 | 75 |
| Status | Error | Program |
|---|---|---|
| 14.8b | (*.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)))))) | |
| ▶ | 0.3b | (-.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 x y)) |
| 13.9b | (fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
Compiled 1122 to 427 computations (61.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 x y)) |
| 0.3b | (log1p.f64 (exp.f64 x)) | |
| ✓ | 0.7b | (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) |
| ✓ | 0.7b | (pow.f64 (log1p.f64 (exp.f64 x)) 3) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 66.0ms | x | @ | inf | (pow.f64 (log1p.f64 (exp.f64 x)) 3) |
| 63.0ms | x | @ | -inf | (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) |
| 63.0ms | x | @ | -inf | (pow.f64 (log1p.f64 (exp.f64 x)) 3) |
| 61.0ms | x | @ | inf | (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) |
| 14.0ms | y | @ | 0 | (-.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 x y)) |
| 1× | batch-egg-rewrite |
| 885× | expm1-log1p-u_binary64 |
| 884× | log1p-expm1-u_binary64 |
| 97× | add-sqr-sqrt_binary64 |
| 94× | pow1_binary64 |
| 93× | add-log-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 24 |
| 1 | 214 | 24 |
| 2 | 2471 | 24 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (log1p.f64 (exp.f64 x)) 3) |
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) |
(-.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) (pow.f64 (log1p.f64 (exp.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 3) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (cbrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))))) |
((#(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 (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))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/3) (cbrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3))))) (#(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)) 3) 1/3)))) (#(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 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 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 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 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 (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))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 log.f64 (+.f64 1 (expm1.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 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 log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.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 expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))) |
| 1× | egg-herbie |
| 832× | fma-neg_binary64 |
| 521× | associate-+l+_binary64 |
| 327× | fma-def_binary64 |
| 318× | distribute-lft-out_binary64 |
| 308× | associate-+r+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 559 |
| 1 | 167 | 551 |
| 2 | 470 | 524 |
| 3 | 1807 | 506 |
| 4 | 4615 | 506 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (log.f64 2) 3) |
(+.f64 (pow.f64 (log.f64 2) 3) (*.f64 3/2 (*.f64 (pow.f64 (log.f64 2) 2) x))) |
(+.f64 (*.f64 3/4 (*.f64 (log.f64 2) (pow.f64 x 2))) (+.f64 (pow.f64 (log.f64 2) 3) (+.f64 (*.f64 3/8 (*.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2))) (*.f64 3/2 (*.f64 (pow.f64 (log.f64 2) 2) x))))) |
(+.f64 (*.f64 3/8 (*.f64 (log.f64 2) (pow.f64 x 3))) (+.f64 (*.f64 3/4 (*.f64 (log.f64 2) (pow.f64 x 2))) (+.f64 (pow.f64 (log.f64 2) 3) (+.f64 (*.f64 3/8 (*.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2))) (+.f64 (*.f64 3/2 (*.f64 (pow.f64 (log.f64 2) 2) x)) (*.f64 1/8 (pow.f64 x 3))))))) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3) |
(log.f64 2) |
(+.f64 (log.f64 2) (*.f64 1/2 x)) |
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))) |
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))) (*.f64 1/192 (pow.f64 x 4))) |
(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 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))) (*.f64 y x)) |
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))) (+.f64 (*.f64 y x) (*.f64 1/192 (pow.f64 x 4)))) |
(*.f64 -1 (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
| Outputs |
|---|
(pow.f64 (log.f64 2) 3) |
(+.f64 (pow.f64 (log.f64 2) 3) (*.f64 3/2 (*.f64 (pow.f64 (log.f64 2) 2) x))) |
(fma.f64 3/2 (*.f64 (pow.f64 (log.f64 2) 2) x) (pow.f64 (log.f64 2) 3)) |
(*.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (*.f64 3/2 x))) |
(+.f64 (*.f64 3/4 (*.f64 (log.f64 2) (pow.f64 x 2))) (+.f64 (pow.f64 (log.f64 2) 3) (+.f64 (*.f64 3/8 (*.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2))) (*.f64 3/2 (*.f64 (pow.f64 (log.f64 2) 2) x))))) |
(fma.f64 3/4 (*.f64 (log.f64 2) (*.f64 x x)) (+.f64 (pow.f64 (log.f64 2) 3) (fma.f64 3/8 (*.f64 (pow.f64 (log.f64 2) 2) (*.f64 x x)) (*.f64 3/2 (*.f64 (pow.f64 (log.f64 2) 2) x))))) |
(+.f64 (fma.f64 3/2 (*.f64 (pow.f64 (log.f64 2) 2) x) (*.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x x) 3/8))) (fma.f64 3/4 (*.f64 (log.f64 2) (*.f64 x x)) (pow.f64 (log.f64 2) 3))) |
(+.f64 (*.f64 (pow.f64 (log.f64 2) 2) (+.f64 (*.f64 3/2 x) (*.f64 (*.f64 x x) 3/8))) (fma.f64 (log.f64 2) (*.f64 3/4 (*.f64 x x)) (pow.f64 (log.f64 2) 3))) |
(fma.f64 (log.f64 2) (*.f64 x (*.f64 x 3/4)) (*.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (*.f64 x (+.f64 3/2 (*.f64 x 3/8)))))) |
(+.f64 (*.f64 3/8 (*.f64 (log.f64 2) (pow.f64 x 3))) (+.f64 (*.f64 3/4 (*.f64 (log.f64 2) (pow.f64 x 2))) (+.f64 (pow.f64 (log.f64 2) 3) (+.f64 (*.f64 3/8 (*.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2))) (+.f64 (*.f64 3/2 (*.f64 (pow.f64 (log.f64 2) 2) x)) (*.f64 1/8 (pow.f64 x 3))))))) |
(fma.f64 3/8 (*.f64 (log.f64 2) (pow.f64 x 3)) (fma.f64 3/4 (*.f64 (log.f64 2) (*.f64 x x)) (+.f64 (pow.f64 (log.f64 2) 3) (fma.f64 3/8 (*.f64 (pow.f64 (log.f64 2) 2) (*.f64 x x)) (fma.f64 3/2 (*.f64 (pow.f64 (log.f64 2) 2) x) (*.f64 (pow.f64 x 3) 1/8)))))) |
(fma.f64 3/8 (*.f64 (log.f64 2) (pow.f64 x 3)) (+.f64 (fma.f64 3/8 (*.f64 (pow.f64 (log.f64 2) 2) (*.f64 x x)) (fma.f64 3/2 (*.f64 (pow.f64 (log.f64 2) 2) x) (*.f64 (pow.f64 x 3) 1/8))) (fma.f64 3/4 (*.f64 (log.f64 2) (*.f64 x x)) (pow.f64 (log.f64 2) 3)))) |
(+.f64 (*.f64 (pow.f64 (log.f64 2) 2) (+.f64 (*.f64 3/2 x) (*.f64 (*.f64 x x) 3/8))) (+.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (*.f64 (log.f64 2) (+.f64 (*.f64 3/4 (*.f64 x x)) (*.f64 3/8 (pow.f64 x 3)))))) |
(+.f64 (*.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (*.f64 x (+.f64 3/2 (*.f64 x 3/8))))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/8) (*.f64 (log.f64 2) (+.f64 3/4 (*.f64 x 3/8)))))) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3) |
(pow.f64 (log1p.f64 (exp.f64 x)) 3) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3) |
(pow.f64 (log1p.f64 (exp.f64 x)) 3) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3) |
(pow.f64 (log1p.f64 (exp.f64 x)) 3) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3) |
(pow.f64 (log1p.f64 (exp.f64 x)) 3) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3) |
(pow.f64 (log1p.f64 (exp.f64 x)) 3) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3) |
(pow.f64 (log1p.f64 (exp.f64 x)) 3) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3) |
(pow.f64 (log1p.f64 (exp.f64 x)) 3) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3) |
(pow.f64 (log1p.f64 (exp.f64 x)) 3) |
(log.f64 2) |
(+.f64 (log.f64 2) (*.f64 1/2 x)) |
(+.f64 (log.f64 2) (*.f64 x 1/2)) |
(fma.f64 x 1/2 (log.f64 2)) |
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))) |
(+.f64 (log.f64 2) (fma.f64 1/8 (*.f64 x x) (*.f64 x 1/2))) |
(+.f64 (log.f64 2) (fma.f64 x 1/2 (*.f64 x (*.f64 x 1/8)))) |
(fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log.f64 2))) |
(fma.f64 x 1/2 (fma.f64 (*.f64 x x) 1/8 (log.f64 2))) |
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))) (*.f64 1/192 (pow.f64 x 4))) |
(+.f64 (log.f64 2) (-.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 x 1/2)) (*.f64 1/192 (pow.f64 x 4)))) |
(+.f64 (log.f64 2) (+.f64 (fma.f64 x 1/2 (*.f64 x (*.f64 x 1/8))) (*.f64 (pow.f64 x 4) -1/192))) |
(fma.f64 (pow.f64 x 4) -1/192 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log.f64 2)))) |
(fma.f64 (pow.f64 x 4) -1/192 (fma.f64 x 1/2 (fma.f64 (*.f64 x x) 1/8 (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 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(+.f64 (log.f64 2) (-.f64 (*.f64 x 1/2) (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))) (*.f64 y x)) |
(+.f64 (log.f64 2) (-.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 x 1/2)) (*.f64 x y))) |
(+.f64 (+.f64 (log.f64 2) (*.f64 x (*.f64 x 1/8))) (*.f64 x (-.f64 1/2 y))) |
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))) |
(+.f64 (log.f64 2) (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))) |
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))) (+.f64 (*.f64 y x) (*.f64 1/192 (pow.f64 x 4)))) |
(-.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (*.f64 x x) (*.f64 x 1/2))) (fma.f64 y x (*.f64 1/192 (pow.f64 x 4)))) |
(+.f64 (log.f64 2) (-.f64 (fma.f64 x 1/2 (*.f64 x (*.f64 x 1/8))) (fma.f64 x y (*.f64 1/192 (pow.f64 x 4))))) |
(+.f64 (*.f64 (pow.f64 x 4) -1/192) (+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))) |
(+.f64 (log.f64 2) (fma.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)) (*.f64 (pow.f64 x 4) -1/192))) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.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 y x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.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 y x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.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 y x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.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 y x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 132 | 1 | 133 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 132 | 4 | 136 |
| Status | Error | Program |
|---|---|---|
| 14.8b | (*.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)))))) | |
| 16.2b | (-.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (*.f64 x (+.f64 3/2 (*.f64 x 3/8))))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/8) (*.f64 (log.f64 2) (+.f64 3/4 (*.f64 x 3/8))))))) (*.f64 x y)) | |
| ✓ | 0.3b | (-.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 x y)) |
| ▶ | 13.9b | (fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
Compiled 2152 to 1014 computations (52.9% 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 | y | @ | inf | (fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
| 2.0ms | 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)) |
| 2.0ms | 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)) |
| 1× | batch-egg-rewrite |
| 834× | pow1_binary64 |
| 775× | log1p-expm1-u_binary64 |
| 775× | expm1-log1p-u_binary64 |
| 86× | add-sqr-sqrt_binary64 |
| 82× | 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 (exp.f64 (log1p.f64 (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 (exp.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 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 exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))))) (#(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 |
| 336× | fma-def_binary64 |
| 260× | fma-neg_binary64 |
| 76× | cancel-sign-sub-inv_binary64 |
| 51× | sub-neg_binary64 |
| 41× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 308 |
| 1 | 40 | 252 |
| 2 | 85 | 216 |
| 3 | 161 | 216 |
| 4 | 287 | 216 |
| 5 | 436 | 216 |
| 6 | 659 | 216 |
| 7 | 970 | 216 |
| 8 | 1247 | 216 |
| 9 | 1272 | 216 |
| 10 | 1273 | 216 |
| 1× | saturated |
| Inputs |
|---|
(log.f64 2) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(*.f64 (-.f64 1/2 y) x) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(*.f64 -1 (*.f64 (-.f64 y 1/2) x)) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 1/2 x)) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
| Outputs |
|---|
(log.f64 2) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(+.f64 (log.f64 2) (-.f64 (*.f64 1/2 x) (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(+.f64 (log.f64 2) (-.f64 (*.f64 1/2 x) (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(+.f64 (log.f64 2) (-.f64 (*.f64 1/2 x) (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 x (-.f64 1/2 y)) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(+.f64 (log.f64 2) (-.f64 (*.f64 1/2 x) (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(+.f64 (log.f64 2) (-.f64 (*.f64 1/2 x) (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(+.f64 (log.f64 2) (-.f64 (*.f64 1/2 x) (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(*.f64 -1 (*.f64 (-.f64 y 1/2) x)) |
(*.f64 x (-.f64 1/2 y)) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(+.f64 (log.f64 2) (-.f64 (*.f64 1/2 x) (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(+.f64 (log.f64 2) (-.f64 (*.f64 1/2 x) (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(+.f64 (log.f64 2) (-.f64 (*.f64 1/2 x) (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (log.f64 2) (*.f64 1/2 x)) |
(fma.f64 1/2 x (log.f64 2)) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(+.f64 (log.f64 2) (-.f64 (*.f64 1/2 x) (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(+.f64 (log.f64 2) (-.f64 (*.f64 1/2 x) (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(+.f64 (log.f64 2) (-.f64 (*.f64 1/2 x) (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(+.f64 (log.f64 2) (-.f64 (*.f64 1/2 x) (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(+.f64 (log.f64 2) (-.f64 (*.f64 1/2 x) (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(+.f64 (log.f64 2) (-.f64 (*.f64 1/2 x) (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(+.f64 (log.f64 2) (-.f64 (*.f64 1/2 x) (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(+.f64 (log.f64 2) (-.f64 (*.f64 1/2 x) (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(+.f64 (log.f64 2) (-.f64 (*.f64 1/2 x) (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 33 | 0 | 33 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 33 | 4 | 37 |
| Status | Error | Program |
|---|---|---|
| ▶ | 14.8b | (*.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)))))) |
| 16.2b | (-.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (*.f64 x (+.f64 3/2 (*.f64 x 3/8))))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/8) (*.f64 (log.f64 2) (+.f64 3/4 (*.f64 x 3/8))))))) (*.f64 x y)) | |
| ✓ | 0.3b | (-.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 x y)) |
| ✓ | 13.9b | (fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
Compiled 514 to 383 computations (25.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (log1p.f64 (exp.f64 x)) | |
| ✓ | 0.7b | (pow.f64 (log1p.f64 (exp.f64 x)) 2) |
| 0.7b | (pow.f64 (log1p.f64 (exp.f64 x)) 3) | |
| ✓ | 13.6b | (*.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)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 69.0ms | x | @ | -inf | (pow.f64 (log1p.f64 (exp.f64 x)) 2) |
| 67.0ms | x | @ | inf | (pow.f64 (log1p.f64 (exp.f64 x)) 2) |
| 49.0ms | y | @ | 0 | (*.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)))))) |
| 30.0ms | x | @ | -inf | (*.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)))))) |
| 30.0ms | y | @ | -inf | (*.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)))))) |
| 1× | batch-egg-rewrite |
| 196× | add-sqr-sqrt_binary64 |
| 193× | pow1_binary64 |
| 189× | *-un-lft-identity_binary64 |
| 186× | add-log-exp_binary64 |
| 186× | expm1-log1p-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 54 |
| 1 | 410 | 19 |
| 1× | node limit |
| Inputs |
|---|
(*.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)))))) |
(pow.f64 (log1p.f64 (exp.f64 x)) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (*.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (*.f64 -1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y))))))) (#(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 (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 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 x y) 1))) (fma.f64 (neg.f64 (*.f64 x y)) 1 (*.f64 (*.f64 x y) 1)))))) (#(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 x y) 1))) (fma.f64 (neg.f64 (*.f64 x y)) 1 (*.f64 (*.f64 x y) 1)))))) (#(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 x y) 1))) (fma.f64 (neg.f64 (*.f64 x y)) 1 (*.f64 (*.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (/.f64 1 (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))) (*.f64 (neg.f64 (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 x (*.f64 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 (/.f64 1 (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 (/.f64 1 (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (neg.f64 (pow.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.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)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (log1p.f64 (exp.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))))) |
| 1× | egg-herbie |
| 363× | associate-*l*_binary64 |
| 341× | unswap-sqr_binary64 |
| 270× | associate-*r*_binary64 |
| 245× | fma-def_binary64 |
| 227× | distribute-rgt-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 419 |
| 1 | 131 | 403 |
| 2 | 352 | 387 |
| 3 | 1215 | 385 |
| 4 | 3590 | 385 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 2) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))) (*.f64 y x)) |
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))) (+.f64 (*.f64 y x) (*.f64 1/192 (pow.f64 x 4)))) |
(*.f64 -1 (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(pow.f64 (log.f64 2) 2) |
(+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) x)) |
(+.f64 (pow.f64 (log.f64 2) 2) (+.f64 (*.f64 (log.f64 2) x) (+.f64 (*.f64 1/4 (*.f64 (log.f64 2) (pow.f64 x 2))) (*.f64 1/4 (pow.f64 x 2))))) |
(+.f64 (pow.f64 (log.f64 2) 2) (+.f64 (*.f64 (log.f64 2) x) (+.f64 (*.f64 1/4 (*.f64 (log.f64 2) (pow.f64 x 2))) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3)))))) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) |
| Outputs |
|---|
(log.f64 2) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 y x)) |
(+.f64 (log.f64 2) (-.f64 (*.f64 1/2 x) (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))) (*.f64 y x)) |
(+.f64 (log.f64 2) (-.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 1/2 x)) (*.f64 x y))) |
(+.f64 (+.f64 (log.f64 2) (*.f64 1/8 (*.f64 x x))) (*.f64 x (-.f64 1/2 y))) |
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))) |
(+.f64 (log.f64 2) (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))) |
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))) (+.f64 (*.f64 y x) (*.f64 1/192 (pow.f64 x 4)))) |
(-.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (*.f64 x x) (*.f64 1/2 x))) (fma.f64 y x (*.f64 1/192 (pow.f64 x 4)))) |
(+.f64 (log.f64 2) (-.f64 (fma.f64 1/2 x (*.f64 1/8 (*.f64 x x))) (fma.f64 1/192 (pow.f64 x 4) (*.f64 x y)))) |
(-.f64 (fma.f64 1/2 x (fma.f64 1/8 (*.f64 x x) (log.f64 2))) (fma.f64 x y (*.f64 1/192 (pow.f64 x 4)))) |
(+.f64 (log.f64 2) (fma.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)) (*.f64 (pow.f64 x 4) -1/192))) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.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 y x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.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 y x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.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 y x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.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 y x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(pow.f64 (log.f64 2) 2) |
(+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) x)) |
(*.f64 (log.f64 2) (+.f64 (log.f64 2) x)) |
(+.f64 (pow.f64 (log.f64 2) 2) (+.f64 (*.f64 (log.f64 2) x) (+.f64 (*.f64 1/4 (*.f64 (log.f64 2) (pow.f64 x 2))) (*.f64 1/4 (pow.f64 x 2))))) |
(+.f64 (pow.f64 (log.f64 2) 2) (fma.f64 (log.f64 2) x (*.f64 1/4 (+.f64 (*.f64 (log.f64 2) (*.f64 x x)) (*.f64 x x))))) |
(+.f64 (*.f64 (log.f64 2) (+.f64 (log.f64 2) x)) (*.f64 (*.f64 x x) (+.f64 1/4 (*.f64 (log.f64 2) 1/4)))) |
(fma.f64 (log.f64 2) (+.f64 (log.f64 2) x) (*.f64 x (*.f64 x (fma.f64 (log.f64 2) 1/4 1/4)))) |
(fma.f64 (*.f64 x x) (fma.f64 (log.f64 2) 1/4 1/4) (*.f64 (log.f64 2) (+.f64 (log.f64 2) x))) |
(+.f64 (pow.f64 (log.f64 2) 2) (+.f64 (*.f64 (log.f64 2) x) (+.f64 (*.f64 1/4 (*.f64 (log.f64 2) (pow.f64 x 2))) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3)))))) |
(+.f64 (pow.f64 (log.f64 2) 2) (fma.f64 (log.f64 2) x (fma.f64 1/4 (*.f64 (log.f64 2) (*.f64 x x)) (fma.f64 1/4 (*.f64 x x) (*.f64 1/8 (pow.f64 x 3)))))) |
(+.f64 (*.f64 (log.f64 2) (+.f64 (log.f64 2) x)) (fma.f64 1/4 (*.f64 (+.f64 (log.f64 2) 1) (*.f64 x x)) (*.f64 1/8 (pow.f64 x 3)))) |
(fma.f64 (log.f64 2) (+.f64 (log.f64 2) x) (*.f64 (*.f64 x x) (+.f64 (fma.f64 (log.f64 2) 1/4 1/4) (*.f64 x 1/8)))) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) |
(pow.f64 (log1p.f64 (exp.f64 x)) 2) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) |
(pow.f64 (log1p.f64 (exp.f64 x)) 2) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) |
(pow.f64 (log1p.f64 (exp.f64 x)) 2) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) |
(pow.f64 (log1p.f64 (exp.f64 x)) 2) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) |
(pow.f64 (log1p.f64 (exp.f64 x)) 2) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) |
(pow.f64 (log1p.f64 (exp.f64 x)) 2) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) |
(pow.f64 (log1p.f64 (exp.f64 x)) 2) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) |
(pow.f64 (log1p.f64 (exp.f64 x)) 2) |
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 199 | 0 | 199 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 199 | 4 | 203 |
| Status | Error | Program |
|---|---|---|
| ✓ | 14.8b | (*.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)))))) |
| 16.2b | (-.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (*.f64 x (+.f64 3/2 (*.f64 x 3/8))))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/8) (*.f64 (log.f64 2) (+.f64 3/4 (*.f64 x 3/8))))))) (*.f64 x y)) | |
| ✓ | 0.3b | (-.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 x y)) |
| ✓ | 13.9b | (fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
Compiled 6366 to 2720 computations (57.3% saved)
Total 0.2b remaining (49.6%)
Threshold costs 0.2b (49.6%)
Compiled 5984 to 4054 computations (32.3% saved)
| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 3× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 14 |
| 1 | 19 | 14 |
| 2 | 28 | 14 |
| 3 | 33 | 14 |
| 4 | 35 | 14 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y))) |
| Outputs |
|---|
(fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y))) |
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 (neg.f64 x) y)) |
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x))) |
| 1× | fuel |
Compiled 115 to 81 computations (29.6% saved)
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