Time bar (total: 10.2s)
| 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 |
Compiled 12 to 9 computations (25% saved)
| 3.1s | 2513× | body | 8192 | exit |
| 1.2s | 7742× | body | 256 | valid |
| 129.0ms | 238× | body | 1024 | valid |
| 91.0ms | 275× | body | 512 | valid |
| 24.0ms | 139× | body | 256 | invalid |
| 1.0ms | 1× | body | 2048 | valid |
| 2× | egg-herbie |
| 732× | times-frac_binary64 |
| 550× | fma-def_binary64 |
| 473× | associate-/r/_binary64 |
| 413× | fabs-mul_binary64 |
| 232× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 22 |
| 1 | 32 | 22 |
| 2 | 45 | 22 |
| 3 | 71 | 22 |
| 4 | 101 | 22 |
| 5 | 150 | 22 |
| 6 | 231 | 22 |
| 7 | 321 | 22 |
| 8 | 428 | 22 |
| 9 | 546 | 22 |
| 10 | 638 | 22 |
| 11 | 678 | 22 |
| 12 | 826 | 22 |
| 13 | 1267 | 22 |
| 14 | 3095 | 22 |
| 15 | 5889 | 22 |
| 16 | 7245 | 22 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x)) |
| Outputs |
|---|
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x))) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x)) |
(-.f64 (log1p.f64 (exp.f64 y)) (*.f64 x y)) |
Compiled 13 to 10 computations (23.1% saved)
| 1× | egg-herbie |
| 479× | fma-def_binary64 |
| 369× | times-frac_binary64 |
| 368× | associate-*l*_binary64 |
| 315× | associate-/l*_binary64 |
| 289× | associate-/l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 11 |
| 1 | 19 | 11 |
| 2 | 30 | 11 |
| 3 | 47 | 11 |
| 4 | 66 | 11 |
| 5 | 100 | 11 |
| 6 | 154 | 11 |
| 7 | 206 | 11 |
| 8 | 275 | 11 |
| 9 | 354 | 11 |
| 10 | 416 | 11 |
| 11 | 442 | 11 |
| 12 | 521 | 11 |
| 13 | 749 | 11 |
| 14 | 1685 | 11 |
| 15 | 4925 | 11 |
| 16 | 6027 | 11 |
| 17 | 7666 | 11 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
| Outputs |
|---|
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
Compiled 18 to 10 computations (44.4% saved)
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 |
|---|---|---|
| ▶ | 0.3b | (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
| ▶ | 0.3b | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
Compiled 20 to 14 computations (30% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (exp.f64 x)) |
| ✓ | 0.0b | (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
| ✓ | 0.2b | (log.f64 (+.f64 1 (exp.f64 x))) |
Compiled 28 to 14 computations (50% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 37.0ms | x | @ | -inf | (log.f64 (+.f64 1 (exp.f64 x))) |
| 23.0ms | x | @ | inf | (log.f64 (+.f64 1 (exp.f64 x))) |
| 4.0ms | y | @ | 0 | (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
| 1.0ms | x | @ | 0 | (log.f64 (+.f64 1 (exp.f64 x))) |
| 1.0ms | x | @ | -inf | (-.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 | 2516 | 22 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 1 (exp.f64 x))) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
(+.f64 1 (exp.f64 x)) |
| 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 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 1/3 (log1p.f64 (exp.f64 x))) (*.f64 2 (*.f64 1/3 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 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 (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 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)))) (#(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 expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (exp.f64 x))))) (#(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 (log.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 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 +.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 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(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 expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))))) (#(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 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)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.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))))) |
| 1× | egg-herbie |
| 803× | unswap-sqr_binary64 |
| 560× | cancel-sign-sub-inv_binary64 |
| 518× | fma-def_binary64 |
| 449× | fma-neg_binary64 |
| 388× | distribute-lft-out_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 357 |
| 1 | 114 | 327 |
| 2 | 252 | 327 |
| 3 | 637 | 311 |
| 4 | 2007 | 311 |
| 5 | 3848 | 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)))) |
(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))) |
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))) |
| 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 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)) |
(+.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 (neg.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x))) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(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))) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(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))) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(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))) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(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))) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(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))) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(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))) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(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))) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(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))) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(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))) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(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))) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(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))) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(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))) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(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))) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(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))) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x))) |
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 (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)) |
(+.f64 2 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x))) |
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 (fma.f64 1/2 x 1) x 2)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| ✓ | 0.2b | (log1p.f64 (exp.f64 x)) |
Compiled 19 to 6 computations (68.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (log1p.f64 (exp.f64 x)) |
| 0.0ms | x | @ | inf | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| 0.0ms | x | @ | 0 | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| 0.0ms | x | @ | -inf | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| 0.0ms | y | @ | 0 | (-.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 | 2015 | 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 expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.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 expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y))))))) |
| 1× | egg-herbie |
| 627× | fma-neg_binary64 |
| 581× | associate-*l*_binary64 |
| 537× | distribute-lft-out_binary64 |
| 418× | distribute-rgt-neg-in_binary64 |
| 384× | 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 | 1389 | 321 |
| 5 | 3841 | 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 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))) |
(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 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)) |
(+.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)) |
Compiled 5935 to 2016 computations (66% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 327 | 7 | 334 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 329 | 7 | 336 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.8b | (-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y)) |
| ▶ | 4.3b | (-.f64 (log.f64 2) (*.f64 x y)) |
| ▶ | 17.8b | (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) |
| 28.5b | (log1p.f64 (exp.f64 x)) | |
| ▶ | 34.4b | (*.f64 x (neg.f64 y)) |
| 9.6b | (fma.f64 x (-.f64 1/2 y) (log.f64 2)) | |
| ▶ | 9.6b | (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
Compiled 122 to 92 computations (24.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (log1p.f64 (exp.f64 x))) |
| ✓ | 0.0b | (-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y)) |
| 0.2b | (log1p.f64 (exp.f64 x)) | |
| ✓ | 0.7b | (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) |
Compiled 36 to 17 computations (52.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) |
| 1.0ms | x | @ | 0 | (+.f64 1 (log1p.f64 (exp.f64 x))) |
| 0.0ms | y | @ | -inf | (-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y)) |
| 0.0ms | x | @ | inf | (+.f64 1 (log1p.f64 (exp.f64 x))) |
| 0.0ms | x | @ | 0 | (-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y)) |
| 1× | batch-egg-rewrite |
| 522× | fma-def_binary64 |
| 479× | log-prod_binary64 |
| 321× | pow-prod-down_binary64 |
| 295× | fma-neg_binary64 |
| 267× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 36 |
| 1 | 224 | 24 |
| 2 | 3325 | 24 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) |
(-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y)) |
(+.f64 1 (log1p.f64 (exp.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1) 1))))) (#(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)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (neg.f64 (fma.f64 x y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (-.f64 -1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 -1 (*.f64 x (neg.f64 y))))))) (#(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 (log1p.f64 (exp.f64 x)) (-.f64 1 (fma.f64 x 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 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(#(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)))))))) 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| 1× | egg-herbie |
| 627× | fma-neg_binary64 |
| 566× | associate-*l*_binary64 |
| 539× | distribute-lft-out_binary64 |
| 516× | fma-def_binary64 |
| 418× | distribute-rgt-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 484 |
| 1 | 111 | 454 |
| 2 | 257 | 454 |
| 3 | 629 | 436 |
| 4 | 1786 | 436 |
| 5 | 4270 | 436 |
| 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))) |
(+.f64 1 (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2)))) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))) |
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) |
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) |
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) |
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) |
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) |
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) |
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) |
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 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))) |
(fma.f64 -1/192 (pow.f64 x 4) (fma.f64 x (fma.f64 x 1/8 1/2) (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 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)) |
(+.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)) |
(+.f64 1 (log.f64 2)) |
(+.f64 (log.f64 2) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) |
(fma.f64 1/2 x (+.f64 (log.f64 2) 1)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) 1) |
(+.f64 (log.f64 2) (fma.f64 1/2 x 1)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2)))) |
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (+.f64 (log.f64 2) 1))) |
(+.f64 (fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2))) 1) |
(+.f64 (log.f64 2) (fma.f64 x (*.f64 x 1/8) (fma.f64 1/2 x 1))) |
(+.f64 (log.f64 2) (fma.f64 x (fma.f64 x 1/8 1/2) 1)) |
(+.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 1) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))) |
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (+.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) 1))) |
(+.f64 (fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) 1) |
(+.f64 (fma.f64 x (*.f64 x 1/8) (fma.f64 1/2 x (log.f64 2))) (fma.f64 -1/192 (pow.f64 x 4) 1)) |
(+.f64 (log.f64 2) (fma.f64 x (fma.f64 x 1/8 1/2) (fma.f64 -1/192 (pow.f64 x 4) 1))) |
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) 1) |
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) |
(+.f64 1 (log1p.f64 (exp.f64 x))) |
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) |
(+.f64 1 (log1p.f64 (exp.f64 x))) |
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) |
(+.f64 1 (log1p.f64 (exp.f64 x))) |
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) |
(+.f64 1 (log1p.f64 (exp.f64 x))) |
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) |
(+.f64 1 (log1p.f64 (exp.f64 x))) |
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) |
(+.f64 1 (log1p.f64 (exp.f64 x))) |
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) |
(+.f64 1 (log1p.f64 (exp.f64 x))) |
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) |
(+.f64 1 (log1p.f64 (exp.f64 x))) |
Compiled 10 to 4 computations (60% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (log.f64 2) (*.f64 x y)) |
Compiled 16 to 9 computations (43.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | (-.f64 (log.f64 2) (*.f64 x y)) |
| 2.0ms | y | @ | 0 | (-.f64 (log.f64 2) (*.f64 x y)) |
| 1.0ms | x | @ | inf | (-.f64 (log.f64 2) (*.f64 x y)) |
| 1.0ms | y | @ | -inf | (-.f64 (log.f64 2) (*.f64 x y)) |
| 0.0ms | x | @ | -inf | (-.f64 (log.f64 2) (*.f64 x y)) |
| 1× | batch-egg-rewrite |
| 779× | pow1_binary64 |
| 725× | add-log-exp_binary64 |
| 724× | log1p-expm1-u_binary64 |
| 724× | expm1-log1p-u_binary64 |
| 710× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 1 | 151 | 9 |
| 2 | 1999 | 9 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log.f64 2) (*.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 2) (*.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 (log.f64 2) (*.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)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log.f64 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y)))) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log.f64 2) (*.f64 x y)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log.f64 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log.f64 2) (*.f64 x (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 2 (pow.f64 (exp.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (neg.f64 y))))))) |
| 1× | egg-herbie |
| 101× | fma-def_binary64 |
| 56× | fma-neg_binary64 |
| 27× | cancel-sign-sub-inv_binary64 |
| 17× | sub-neg_binary64 |
| 13× | distribute-rgt-neg-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 228 |
| 1 | 15 | 192 |
| 2 | 32 | 192 |
| 3 | 45 | 192 |
| 4 | 57 | 192 |
| 5 | 88 | 192 |
| 6 | 148 | 192 |
| 7 | 196 | 192 |
| 8 | 254 | 192 |
| 9 | 341 | 192 |
| 10 | 391 | 192 |
| 11 | 397 | 192 |
| 1× | saturated |
| Inputs |
|---|
(log.f64 2) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(log.f64 2) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
| Outputs |
|---|
(log.f64 2) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(log.f64 2) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (-.f64 1/2 y) x) |
| ✓ | 0.0b | (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
Compiled 24 to 17 computations (29.2% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
| 1.0ms | x | @ | -inf | (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
| 1.0ms | y | @ | 0 | (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
| 0.0ms | y | @ | -inf | (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
| 1× | batch-egg-rewrite |
| 864× | prod-diff_binary64 |
| 596× | unpow-prod-down_binary64 |
| 435× | log-prod_binary64 |
| 278× | fma-def_binary64 |
| 257× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 200 | 17 |
| 2 | 2629 | 17 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(*.f64 (-.f64 1/2 y) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (pow.f64 (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (pow.f64 (/.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2) 3) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (-.f64 1/2 y) (*.f64 x (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) (neg.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1/2 y) x) 1 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 2) 1 (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)) (log.f64 2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (*.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 1/2 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 1/2 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (*.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (*.f64 x (neg.f64 y))))))) |
| 1× | egg-herbie |
| 267× | fma-neg_binary64 |
| 247× | fma-def_binary64 |
| 89× | cancel-sign-sub-inv_binary64 |
| 42× | sub-neg_binary64 |
| 38× | associate--r+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 250 |
| 1 | 33 | 223 |
| 2 | 64 | 205 |
| 3 | 107 | 205 |
| 4 | 160 | 205 |
| 5 | 254 | 205 |
| 6 | 452 | 205 |
| 7 | 660 | 205 |
| 8 | 875 | 205 |
| 9 | 1096 | 205 |
| 10 | 1116 | 205 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(log.f64 2) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
| Outputs |
|---|
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(fma.f64 1/2 x (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(log.f64 2) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) |
| ✓ | 0.0b | (log.f64 (+.f64 2 x)) |
Compiled 23 to 13 computations (43.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | 0 | (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) |
| 1.0ms | x | @ | inf | (log.f64 (+.f64 2 x)) |
| 1.0ms | x | @ | -inf | (log.f64 (+.f64 2 x)) |
| 0.0ms | x | @ | 0 | (log.f64 (+.f64 2 x)) |
| 0.0ms | x | @ | -inf | (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) |
| 1× | batch-egg-rewrite |
| 676× | prod-diff_binary64 |
| 610× | unpow-prod-down_binary64 |
| 434× | log-prod_binary64 |
| 276× | pow-prod-down_binary64 |
| 259× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 18 |
| 1 | 181 | 18 |
| 2 | 2508 | 18 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 2 x)) |
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) |
| Outputs |
|---|
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((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (neg.f64 (cbrt.f64 (*.f64 x y))) (log.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 (+.f64 2 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 (log.f64 (+.f64 2 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 (+.f64 2 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 (log.f64 (+.f64 2 x))) (sqrt.f64 (log.f64 (+.f64 2 x))) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (log.f64 (+.f64 2 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))) (log.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2))) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 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 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 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 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 (+.f64 2 x)))) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 (+.f64 2 x)))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 (+.f64 2 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 (log.f64 (+.f64 2 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))) (log.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) (log.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 y) x (log.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (log.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x y) (log.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 (+.f64 2 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 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 (+.f64 2 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)) (log.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) y (log.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (log.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log.f64 (+.f64 2 x))))))) |
| 1× | egg-herbie |
| 689× | sub-neg_binary64 |
| 330× | associate-/r*_binary64 |
| 328× | associate-+r+_binary64 |
| 322× | associate-+l-_binary64 |
| 296× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 525 |
| 1 | 195 | 447 |
| 2 | 508 | 447 |
| 3 | 1652 | 439 |
| 4 | 4662 | 439 |
| 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 (log.f64 2) (*.f64 1/24 (pow.f64 x 3))))) |
(*.f64 -1 (log.f64 (/.f64 1 x))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(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 (log.f64 2) (*.f64 1/24 (pow.f64 x 3))))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x))))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(log.f64 (+.f64 2 x)) |
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 (+.f64 2 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 -1/8 (*.f64 x x) (log.f64 2))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 1/24 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 1/24 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/24 (pow.f64 x 3) (log.f64 2)))) |
(fma.f64 1/2 x (fma.f64 1/24 (pow.f64 x 3) (fma.f64 -1/8 (*.f64 x x) (log.f64 2)))) |
(*.f64 -1 (log.f64 (/.f64 1 x))) |
(neg.f64 (neg.f64 (log.f64 x))) |
(log.f64 x) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 1 x))) |
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) |
(+.f64 (log.f64 x) (/.f64 2 x)) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (/.f64 2 (*.f64 x x))) |
(+.f64 (log.f64 x) (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))) |
(+.f64 (/.f64 2 x) (-.f64 (log.f64 x) (/.f64 2 (*.f64 x x)))) |
(+.f64 (log.f64 x) (*.f64 (/.f64 1 x) (-.f64 2 (/.f64 2 x)))) |
(-.f64 (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 8/3 (pow.f64 x 3)) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (/.f64 2 (*.f64 x x)))) |
(+.f64 (+.f64 (log.f64 x) (/.f64 2 x)) (-.f64 (/.f64 8/3 (pow.f64 x 3)) (/.f64 2 (*.f64 x x)))) |
(+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) (/.f64 8/3 (pow.f64 x 3)))) |
(+.f64 (log.f64 x) (+.f64 (/.f64 2 x) (+.f64 (/.f64 8/3 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))) |
(+.f64 (log.f64 x) (-.f64 (/.f64 2 x) (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 2 (/.f64 8/3 x))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) |
(neg.f64 (neg.f64 (log.f64 x))) |
(log.f64 x) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))) |
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) |
(+.f64 (log.f64 x) (/.f64 2 x)) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (/.f64 2 (*.f64 x x))) |
(+.f64 (log.f64 x) (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))) |
(+.f64 (/.f64 2 x) (-.f64 (log.f64 x) (/.f64 2 (*.f64 x x)))) |
(+.f64 (log.f64 x) (*.f64 (/.f64 1 x) (-.f64 2 (/.f64 2 x)))) |
(-.f64 (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 8/3 (pow.f64 x 3)) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (/.f64 2 (*.f64 x x)))) |
(+.f64 (+.f64 (log.f64 x) (/.f64 2 x)) (-.f64 (/.f64 8/3 (pow.f64 x 3)) (/.f64 2 (*.f64 x x)))) |
(+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) (/.f64 8/3 (pow.f64 x 3)))) |
(+.f64 (log.f64 x) (+.f64 (/.f64 2 x) (+.f64 (/.f64 8/3 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))) |
(+.f64 (log.f64 x) (-.f64 (/.f64 2 x) (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 2 (/.f64 8/3 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))) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (*.f64 1/24 (pow.f64 x 3))))) |
(fma.f64 (-.f64 1/2 y) x (+.f64 (fma.f64 -1/8 (*.f64 x x) (log.f64 2)) (*.f64 1/24 (pow.f64 x 3)))) |
(fma.f64 x (-.f64 1/2 y) (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) (log.f64 2)))) |
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/24 (pow.f64 x 3) (fma.f64 -1/8 (*.f64 x x) (log.f64 2)))) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -1 (*.f64 y x))) |
(fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x y))) |
(-.f64 (log.f64 x) (*.f64 x y)) |
(fma.f64 y (neg.f64 x) (log.f64 x)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (neg.f64 (*.f64 x y))) |
(+.f64 (log.f64 x) (-.f64 (/.f64 2 x) (*.f64 x y))) |
(+.f64 (log.f64 x) (fma.f64 x (neg.f64 y) (/.f64 2 x))) |
(-.f64 (log.f64 x) (fma.f64 x y (/.f64 -2 x))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (neg.f64 (*.f64 x y))) (/.f64 2 (*.f64 x x))) |
(+.f64 (log.f64 x) (+.f64 (-.f64 (/.f64 2 x) (*.f64 x y)) (/.f64 -2 (*.f64 x x)))) |
(+.f64 (log.f64 x) (-.f64 (/.f64 2 x) (+.f64 (*.f64 x y) (/.f64 2 (*.f64 x x))))) |
(+.f64 (log.f64 x) (-.f64 (/.f64 -2 (*.f64 x x)) (fma.f64 x y (/.f64 -2 x)))) |
(+.f64 (log.f64 x) (-.f64 (/.f64 2 x) (fma.f64 x y (/.f64 2 (*.f64 x x))))) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 -1 (*.f64 y x)))) |
(fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x y))) |
(-.f64 (log.f64 x) (*.f64 x y)) |
(fma.f64 y (neg.f64 x) (log.f64 x)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x))))) |
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (neg.f64 (*.f64 x y))) |
(+.f64 (log.f64 x) (-.f64 (/.f64 2 x) (*.f64 x y))) |
(+.f64 (log.f64 x) (fma.f64 x (neg.f64 y) (/.f64 2 x))) |
(-.f64 (log.f64 x) (fma.f64 x y (/.f64 -2 x))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x))))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (neg.f64 (*.f64 x y))) (/.f64 2 (*.f64 x x))) |
(+.f64 (log.f64 x) (+.f64 (-.f64 (/.f64 2 x) (*.f64 x y)) (/.f64 -2 (*.f64 x x)))) |
(+.f64 (log.f64 x) (-.f64 (/.f64 2 x) (+.f64 (*.f64 x y) (/.f64 2 (*.f64 x x))))) |
(+.f64 (log.f64 x) (-.f64 (/.f64 -2 (*.f64 x x)) (fma.f64 x y (/.f64 -2 x)))) |
(+.f64 (log.f64 x) (-.f64 (/.f64 2 x) (fma.f64 x y (/.f64 2 (*.f64 x x))))) |
(log.f64 (+.f64 2 x)) |
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 x y)) (log.f64 (+.f64 2 x))) |
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) |
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 x y)) (log.f64 (+.f64 2 x))) |
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) |
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 x y)) (log.f64 (+.f64 2 x))) |
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 x y)) (log.f64 (+.f64 2 x))) |
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) |
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 x y)) (log.f64 (+.f64 2 x))) |
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) |
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 x y)) (log.f64 (+.f64 2 x))) |
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 x y)) (log.f64 (+.f64 2 x))) |
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) |
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 x y)) (log.f64 (+.f64 2 x))) |
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) |
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (neg.f64 (*.f64 x y)) (log.f64 (+.f64 2 x))) |
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) |
Compiled 12294 to 6452 computations (47.5% saved)
12 alts after pruning (9 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 681 | 8 | 689 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 3 | 4 |
| Total | 684 | 12 | 696 |
| Status | Error | Program |
|---|---|---|
| ✓ | 4.3b | (-.f64 (log.f64 2) (*.f64 x y)) |
| ▶ | 9.6b | (fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
| 28.5b | (log1p.f64 (exp.f64 x)) | |
| 28.9b | (log.f64 2) | |
| ✓ | 34.4b | (*.f64 x (neg.f64 y)) |
| 28.4b | (+.f64 (*.f64 1/2 x) (log.f64 2)) | |
| ▶ | 4.9b | (-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y)) |
| 20.7b | (+.f64 (expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2)) | |
| ✓ | 9.6b | (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
| ▶ | 43.4b | (*.f64 (-.f64 1/2 y) x) |
| ▶ | 10.1b | (-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y)) |
| ▶ | 29.1b | (log.f64 (+.f64 2 x)) |
Compiled 182 to 148 computations (18.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y)) |
| ✓ | 1.0b | (-.f64 (+.f64 (log.f64 2) 1) 1) |
Compiled 31 to 24 computations (22.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y)) |
| 0.0ms | x | @ | inf | (-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y)) |
| 0.0ms | x | @ | -inf | (-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y)) |
| 0.0ms | y | @ | inf | (-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y)) |
| 0.0ms | y | @ | -inf | (-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y)) |
| 1× | batch-egg-rewrite |
| 513× | fma-def_binary64 |
| 452× | log-prod_binary64 |
| 339× | exp-prod_binary64 |
| 299× | fma-neg_binary64 |
| 298× | pow-prod-down_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 18 |
| 1 | 229 | 12 |
| 2 | 3282 | 12 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 (log.f64 2) 1) 1) |
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (log.f64 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (log.f64 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (*.f64 (cbrt.f64 (log.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 2)) (*.f64 (sqrt.f64 (log.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 (log.f64 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (/.f64 1 (+.f64 (log.f64 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 (log.f64 2) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 (log.f64 2) 2)) (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log.f64 2) 2) (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3)) (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 (log.f64 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3)) (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (-.f64 1 (*.f64 (+.f64 (log.f64 2) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (+.f64 (log.f64 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 (log.f64 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2))))) (neg.f64 (+.f64 (log.f64 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 2) 3) 0) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 0 (*.f64 (log.f64 2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) 0) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 (log.f64 2) 2)) (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (log.f64 2) 2) (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 2))) 2)) (cbrt.f64 (log.f64 (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 2)))) (sqrt.f64 (log.f64 (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 2)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 2)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 2)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 2) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (log.f64 2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (log.f64 2) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (log.f64 2) 1)) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) 1)) 2) (cbrt.f64 (+.f64 (log.f64 2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (log.f64 2) 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (*.f64 (cbrt.f64 (log.f64 2)) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (log.f64 2) 1)) (sqrt.f64 (+.f64 (log.f64 2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (log.f64 2) 1)) (*.f64 (sqrt.f64 (+.f64 (log.f64 2) 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (*.f64 (sqrt.f64 (log.f64 2)) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 (log.f64 2) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (log.f64 2) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (log.f64 2) 2) 1) (log.f64 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (/.f64 1 (+.f64 (log.f64 2) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (log.f64 2) 2) -1) (/.f64 1 (+.f64 (log.f64 2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 (log.f64 2) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 2)))) 0))))) |
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(+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 x y) 2))) (cbrt.f64 (*.f64 x y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) y (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log.f64 2)))))) |
| 1× | egg-herbie |
| 101× | fma-def_binary64 |
| 56× | fma-neg_binary64 |
| 27× | cancel-sign-sub-inv_binary64 |
| 17× | sub-neg_binary64 |
| 13× | distribute-rgt-neg-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 228 |
| 1 | 15 | 192 |
| 2 | 32 | 192 |
| 3 | 45 | 192 |
| 4 | 57 | 192 |
| 5 | 88 | 192 |
| 6 | 148 | 192 |
| 7 | 196 | 192 |
| 8 | 254 | 192 |
| 9 | 341 | 192 |
| 10 | 391 | 192 |
| 11 | 397 | 192 |
| 1× | saturated |
| Inputs |
|---|
(log.f64 2) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(log.f64 2) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
| Outputs |
|---|
(log.f64 2) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(log.f64 2) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 (-.f64 1/2 y) x) |
Compiled 13 to 8 computations (38.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (log.f64 (+.f64 2 x)) |
Compiled 11 to 8 computations (27.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) |
| ✓ | 0.0b | (-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y)) |
| ✓ | 0.7b | (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) |
Compiled 51 to 40 computations (21.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) |
| 1.0ms | y | @ | 0 | (-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y)) |
| 1.0ms | x | @ | -inf | (-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y)) |
| 1.0ms | x | @ | inf | (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) |
| 1.0ms | x | @ | -inf | (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) |
| 1× | batch-egg-rewrite |
| 660× | log-prod_binary64 |
| 492× | fma-neg_binary64 |
| 258× | expm1-udef_binary64 |
| 258× | log1p-udef_binary64 |
| 255× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 42 |
| 1 | 302 | 30 |
| 2 | 4386 | 30 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) |
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y)) |
(+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log.f64 2)) (fma.f64 1/2 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log.f64 2)) (+.f64 (*.f64 1/2 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 1/2 x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x 1) (-.f64 (log.f64 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x 1) (+.f64 (log.f64 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2)) (cbrt.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2)))) (log.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2))) (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))))))))) (#(struct:change #<rule egg-rr> 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (*.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (*.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 1 (log.f64 2)) (-.f64 (+.f64 1 (log.f64 2)) (*.f64 1/2 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (/.f64 1 (-.f64 (fma.f64 1/2 x -1) (log.f64 2))) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (-.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (-.f64 (log.f64 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log.f64 2)) (-.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) (neg.f64 (+.f64 1 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) (-.f64 -1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) (+.f64 -1 (*.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 (*.f64 y (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.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 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (neg.f64 x)) (fma.f64 1/2 x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x 1) (-.f64 (log.f64 2) (+.f64 1 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)))) (cbrt.f64 (exp.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)))))) (log.f64 (cbrt.f64 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(pow.f64 (+.f64 1 (log.f64 2)) 2)) 1) (-.f64 (fma.f64 1/2 x -1) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 1 (log.f64 2)) (-.f64 (+.f64 1 (log.f64 2)) (*.f64 1/2 x)))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 1/2 x -1) (log.f64 2)) (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 1 (log.f64 2)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 1/2 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (fma.f64 (exp.f64 (fma.f64 1/2 x 1)) 2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))) (*.f64 2 (E.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) (+.f64 1 (fma.f64 2 (E.f64) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))) (+.f64 1 (fma.f64 2 (E.f64) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (exp.f64 (fma.f64 1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (fma.f64 2 (E.f64) -1)) (pow.f64 (exp.f64 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 2 (E.f64)) (+.f64 1 (expm1.f64 (*.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (fma.f64 2 (E.f64) -1)) (+.f64 1 (expm1.f64 (*.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (fma.f64 (exp.f64 (fma.f64 1/2 x 1)) 2 -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (+.f64 1 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (+.f64 1 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 x) (+.f64 1 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (log.f64 2)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 2))) 2) (cbrt.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (+.f64 1 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (sqrt.f64 (log.f64 2))) (hypot.f64 1 (sqrt.f64 (log.f64 2))) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (+.f64 1 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))) (cbrt.f64 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))))) (cbrt.f64 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))) (sqrt.f64 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))) -1))))) |
| 1× | egg-herbie |
| 333× | fma-neg_binary64 |
| 300× | fma-def_binary64 |
| 102× | cancel-sign-sub-inv_binary64 |
| 57× | sub-neg_binary64 |
| 51× | associate--r+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 364 |
| 1 | 49 | 364 |
| 2 | 78 | 364 |
| 3 | 129 | 364 |
| 4 | 180 | 364 |
| 5 | 287 | 364 |
| 6 | 488 | 364 |
| 7 | 729 | 364 |
| 8 | 1028 | 364 |
| 9 | 1313 | 364 |
| 10 | 1379 | 364 |
| 11 | 1390 | 364 |
| 1× | saturated |
| Inputs |
|---|
(log.f64 2) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(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 (*.f64 -1 y)) x) |
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x)) |
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x)) |
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x)) |
(+.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)))) |
(+.f64 1 (log.f64 2)) |
(*.f64 1/2 x) |
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2))) |
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2))) |
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2))) |
(*.f64 1/2 x) |
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2))) |
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2))) |
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2))) |
| Outputs |
|---|
(log.f64 2) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(fma.f64 1/2 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) (log.f64 2)) |
(fma.f64 1/2 x (log.f64 2)) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(fma.f64 1/2 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) (log.f64 2)) |
(fma.f64 1/2 x (log.f64 2)) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(fma.f64 1/2 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) (log.f64 2)) |
(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)) |
(fma.f64 x (-.f64 1/2 y) (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) (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 1/2 y) x) |
(*.f64 x (-.f64 1/2 y)) |
(+.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) (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) (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 1/2 (*.f64 -1 y)) x) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x)) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x)) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x)) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (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)) |
(fma.f64 x (-.f64 1/2 y) (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)) |
(fma.f64 x (-.f64 1/2 y) (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)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(*.f64 -1 (*.f64 y x)) |
(*.f64 (neg.f64 y) x) |
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (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)) |
(fma.f64 x (-.f64 1/2 y) (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)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(*.f64 -1 (*.f64 y x)) |
(*.f64 (neg.f64 y) x) |
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (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)) |
(fma.f64 x (-.f64 1/2 y) (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)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 1 (log.f64 2)) |
(+.f64 (log.f64 2) 1) |
(*.f64 1/2 x) |
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) 1) |
(fma.f64 1/2 x (+.f64 (log.f64 2) 1)) |
(+.f64 (log.f64 2) (fma.f64 1/2 x 1)) |
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) 1) |
(fma.f64 1/2 x (+.f64 (log.f64 2) 1)) |
(+.f64 (log.f64 2) (fma.f64 1/2 x 1)) |
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) 1) |
(fma.f64 1/2 x (+.f64 (log.f64 2) 1)) |
(+.f64 (log.f64 2) (fma.f64 1/2 x 1)) |
(*.f64 1/2 x) |
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) 1) |
(fma.f64 1/2 x (+.f64 (log.f64 2) 1)) |
(+.f64 (log.f64 2) (fma.f64 1/2 x 1)) |
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) 1) |
(fma.f64 1/2 x (+.f64 (log.f64 2) 1)) |
(+.f64 (log.f64 2) (fma.f64 1/2 x 1)) |
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) 1) |
(fma.f64 1/2 x (+.f64 (log.f64 2) 1)) |
(+.f64 (log.f64 2) (fma.f64 1/2 x 1)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
Compiled 18 to 13 computations (27.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | x | @ | -inf | (fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
| 1.0ms | x | @ | inf | (fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
| 1.0ms | y | @ | 0 | (fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
| 1.0ms | y | @ | -inf | (fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
| 1.0ms | y | @ | inf | (fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
| 1× | batch-egg-rewrite |
| 830× | pow1_binary64 |
| 772× | add-log-exp_binary64 |
| 771× | log1p-expm1-u_binary64 |
| 771× | expm1-log1p-u_binary64 |
| 758× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 170 | 10 |
| 2 | 2023 | 10 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 1/2 y) x) 1) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 (-.f64 1/2 y) x)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))) |
| 1× | egg-herbie |
| 267× | fma-neg_binary64 |
| 257× | fma-def_binary64 |
| 89× | cancel-sign-sub-inv_binary64 |
| 41× | sub-neg_binary64 |
| 39× | associate--r+_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 306 |
| 1 | 33 | 216 |
| 2 | 60 | 216 |
| 3 | 106 | 216 |
| 4 | 157 | 216 |
| 5 | 252 | 216 |
| 6 | 453 | 216 |
| 7 | 671 | 216 |
| 8 | 886 | 216 |
| 9 | 1107 | 216 |
| 10 | 1127 | 216 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(log.f64 2) |
(+.f64 (*.f64 (-.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)) |
| Outputs |
|---|
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(fma.f64 1/2 x (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(log.f64 2) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x 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 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x 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 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
Compiled 9352 to 6709 computations (28.3% saved)
14 alts after pruning (7 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 572 | 5 | 577 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 7 | 7 |
| Total | 575 | 14 | 589 |
| Status | Error | Program |
|---|---|---|
| 20.7b | (+.f64 (expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2)) | |
| ▶ | 28.9b | (log.f64 2) |
| ✓ | 4.9b | (-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y)) |
| ▶ | 57.1b | (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) |
| ✓ | 29.1b | (log.f64 (+.f64 2 x)) |
| ▶ | 28.4b | (+.f64 (*.f64 1/2 x) (log.f64 2)) |
| ✓ | 9.6b | (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
| ✓ | 43.4b | (*.f64 (-.f64 1/2 y) x) |
| ✓ | 4.3b | (-.f64 (log.f64 2) (*.f64 x y)) |
| 28.5b | (log1p.f64 (exp.f64 x)) | |
| ▶ | 61.6b | (*.f64 1/2 x) |
| ✓ | 34.4b | (*.f64 x (neg.f64 y)) |
| ✓ | 10.1b | (-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y)) |
| ▶ | 4.3b | (fma.f64 (neg.f64 y) x (log.f64 2)) |
Compiled 175 to 139 computations (20.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 (neg.f64 y) x (log.f64 2)) |
Compiled 15 to 9 computations (40% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (fma.f64 (neg.f64 y) x (log.f64 2)) |
| 0.0ms | x | @ | 0 | (fma.f64 (neg.f64 y) x (log.f64 2)) |
| 0.0ms | x | @ | inf | (fma.f64 (neg.f64 y) x (log.f64 2)) |
| 0.0ms | x | @ | -inf | (fma.f64 (neg.f64 y) x (log.f64 2)) |
| 0.0ms | y | @ | inf | (fma.f64 (neg.f64 y) x (log.f64 2)) |
| 1× | batch-egg-rewrite |
| 544× | pow1_binary64 |
| 501× | add-log-exp_binary64 |
| 500× | log1p-expm1-u_binary64 |
| 500× | expm1-log1p-u_binary64 |
| 490× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 1 | 140 | 7 |
| 2 | 1629 | 7 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (neg.f64 y) x (log.f64 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y x) 1) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y x (log.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 y x (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y x (log.f64 2))) 2) (cbrt.f64 (fma.f64 y x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y x (log.f64 2))) (sqrt.f64 (fma.f64 y x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 y x) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 y x) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y x (log.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y x (log.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y x (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y x (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y x (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y x (log.f64 2)))))))) |
| 1× | egg-herbie |
| 101× | fma-def_binary64 |
| 56× | fma-neg_binary64 |
| 27× | cancel-sign-sub-inv_binary64 |
| 17× | sub-neg_binary64 |
| 13× | distribute-rgt-neg-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 228 |
| 1 | 15 | 192 |
| 2 | 32 | 192 |
| 3 | 45 | 192 |
| 4 | 57 | 192 |
| 5 | 88 | 192 |
| 6 | 148 | 192 |
| 7 | 196 | 192 |
| 8 | 254 | 192 |
| 9 | 341 | 192 |
| 10 | 391 | 192 |
| 11 | 397 | 192 |
| 1× | saturated |
| Inputs |
|---|
(log.f64 2) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(log.f64 2) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
| Outputs |
|---|
(log.f64 2) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(log.f64 2) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x))) |
(-.f64 (log.f64 2) (*.f64 y x)) |
Compiled 7 to 5 computations (28.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 3.5b | (*.f64 (-.f64 1/4 (*.f64 y y)) x) |
| ✓ | 10.7b | (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) |
Compiled 35 to 18 computations (48.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) |
| 1.0ms | y | @ | 0 | (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) |
| 1.0ms | y | @ | inf | (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) |
| 1.0ms | y | @ | inf | (*.f64 (-.f64 1/4 (*.f64 y y)) x) |
| 1× | batch-egg-rewrite |
| 553× | log-prod_binary64 |
| 345× | pow-prod-down_binary64 |
| 296× | pow2_binary64 |
| 205× | pow1/3_binary64 |
| 202× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 1 | 230 | 17 |
| 2 | 3214 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) |
(*.f64 (-.f64 1/4 (*.f64 y y)) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (-.f64 1/2 y) x)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (-.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (/.f64 (+.f64 y 1/2) x)) (/.f64 (*.f64 y y) (/.f64 (+.f64 y 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 x (/.f64 1 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (/.f64 1 (+.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) (*.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (/.f64 1 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (*.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (/.f64 1 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (neg.f64 x)) (/.f64 1 (fma.f64 -1 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 (-.f64 1/4 (*.f64 y y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) 1) (/.f64 x (+.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (+.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 1) (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (+.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 x (cbrt.f64 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (-.f64 1/4 (*.f64 y y)) (cbrt.f64 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) -2) (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (cbrt.f64 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (cbrt.f64 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (sqrt.f64 (+.f64 y 1/2))) (/.f64 x (sqrt.f64 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (+.f64 y 1/2))) (/.f64 (-.f64 1/4 (*.f64 y y)) (sqrt.f64 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 y 1/2) -1/2) (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (sqrt.f64 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) (sqrt.f64 (+.f64 y 1/2))) (/.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (sqrt.f64 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (-.f64 y 1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (-.f64 1/2 y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 3) (pow.f64 (+.f64 y 1/2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (*.f64 (-.f64 1/2 y) x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (fma.f64 -1 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 3) (pow.f64 (+.f64 y 1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) -1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1/4 (*.f64 y y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 x) (*.f64 (*.f64 y (neg.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/4) (*.f64 x (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/64 (pow.f64 y 6)) x) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/16 (pow.f64 y 4)) x) (fma.f64 y y 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/64 (pow.f64 y 6))) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/16 (pow.f64 y 4))) (fma.f64 y y 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/4 x (*.f64 (*.f64 y (neg.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/4 (*.f64 x (*.f64 y (neg.f64 y)))))))) |
| 1× | egg-herbie |
| 573× | cancel-sign-sub-inv_binary64 |
| 559× | fma-def_binary64 |
| 535× | fma-neg_binary64 |
| 366× | associate-/l*_binary64 |
| 319× | div-sub_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 593 |
| 1 | 48 | 521 |
| 2 | 103 | 503 |
| 3 | 199 | 503 |
| 4 | 539 | 503 |
| 5 | 1758 | 503 |
| 6 | 4412 | 503 |
| 7 | 6942 | 503 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(*.f64 1/4 x) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 1/4 x)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 1/4 x)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 1/4 x)) |
(*.f64 -1 (*.f64 (pow.f64 y 2) x)) |
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x))) |
(*.f64 -1 (*.f64 (pow.f64 y 2) x)) |
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x))) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
| Outputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 1/2 x (neg.f64 (*.f64 x y))) |
(*.f64 x (+.f64 (neg.f64 y) 1/2)) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 1/2 x (neg.f64 (*.f64 x y))) |
(*.f64 x (+.f64 (neg.f64 y) 1/2)) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 1/2 x (neg.f64 (*.f64 x y))) |
(*.f64 x (+.f64 (neg.f64 y) 1/2)) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 1/2 x (neg.f64 (*.f64 x y))) |
(*.f64 x (+.f64 (neg.f64 y) 1/2)) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 1/2 x (neg.f64 (*.f64 x y))) |
(*.f64 x (+.f64 (neg.f64 y) 1/2)) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 1/2 x (neg.f64 (*.f64 x y))) |
(*.f64 x (+.f64 (neg.f64 y) 1/2)) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 1/2 x (neg.f64 (*.f64 x y))) |
(*.f64 x (+.f64 (neg.f64 y) 1/2)) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 1/2 x (neg.f64 (*.f64 x y))) |
(*.f64 x (+.f64 (neg.f64 y) 1/2)) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 1/2 x (neg.f64 (*.f64 x y))) |
(*.f64 x (+.f64 (neg.f64 y) 1/2)) |
(*.f64 x (-.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) |
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x) |
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y))) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 x (/.f64 (neg.f64 (fma.f64 y y -1/4)) (+.f64 1/2 y))) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) |
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x) |
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y))) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 x (/.f64 (neg.f64 (fma.f64 y y -1/4)) (+.f64 1/2 y))) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) |
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x) |
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y))) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 x (/.f64 (neg.f64 (fma.f64 y y -1/4)) (+.f64 1/2 y))) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) |
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x) |
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y))) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 x (/.f64 (neg.f64 (fma.f64 y y -1/4)) (+.f64 1/2 y))) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) |
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x) |
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y))) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 x (/.f64 (neg.f64 (fma.f64 y y -1/4)) (+.f64 1/2 y))) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) |
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x) |
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y))) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 x (/.f64 (neg.f64 (fma.f64 y y -1/4)) (+.f64 1/2 y))) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) |
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x) |
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y))) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 x (/.f64 (neg.f64 (fma.f64 y y -1/4)) (+.f64 1/2 y))) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) |
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x) |
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y))) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 x (/.f64 (neg.f64 (fma.f64 y y -1/4)) (+.f64 1/2 y))) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) |
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x) |
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y))) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 x (/.f64 (neg.f64 (fma.f64 y y -1/4)) (+.f64 1/2 y))) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) |
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x) |
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y))) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 x (/.f64 (neg.f64 (fma.f64 y y -1/4)) (+.f64 1/2 y))) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) |
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x) |
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y))) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 x (/.f64 (neg.f64 (fma.f64 y y -1/4)) (+.f64 1/2 y))) |
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)) |
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) |
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x) |
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y))) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y))) |
(*.f64 x (/.f64 (neg.f64 (fma.f64 y y -1/4)) (+.f64 1/2 y))) |
(*.f64 1/4 x) |
(*.f64 x 1/4) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 1/4 x)) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 1/4 x)) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 1/4 x)) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(*.f64 -1 (*.f64 (pow.f64 y 2) x)) |
(neg.f64 (*.f64 x (*.f64 y y))) |
(*.f64 x (*.f64 y (neg.f64 y))) |
(*.f64 y (*.f64 y (neg.f64 x))) |
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(*.f64 -1 (*.f64 (pow.f64 y 2) x)) |
(neg.f64 (*.f64 x (*.f64 y y))) |
(*.f64 x (*.f64 y (neg.f64 y))) |
(*.f64 y (*.f64 y (neg.f64 x))) |
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x) |
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (-.f64 1/4 (*.f64 y y))) |
(*.f64 x (neg.f64 (fma.f64 y y -1/4))) |
Compiled 5 to 5 computations (0% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 1/2 x) (log.f64 2)) |
Compiled 16 to 13 computations (18.8% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 1/2 x) (log.f64 2)) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 1/2 x) (log.f64 2)) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 1/2 x) (log.f64 2)) |
| 1× | batch-egg-rewrite |
| 728× | pow1_binary64 |
| 681× | add-log-exp_binary64 |
| 680× | log1p-expm1-u_binary64 |
| 680× | expm1-log1p-u_binary64 |
| 668× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 7 |
| 1 | 150 | 7 |
| 2 | 1870 | 7 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (*.f64 1/2 x) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 x) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 1/2 x) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))) (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)) (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 1/2 (*.f64 x (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x x) 1/4)) (-.f64 (log.f64 2) (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (log.f64 2)))))) |
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 11 |
| 1 | 7 | 11 |
| 1× | saturated |
| Inputs |
|---|
(log.f64 2) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
| Outputs |
|---|
(log.f64 2) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
Compiled 2046 to 1431 computations (30.1% saved)
18 alts after pruning (6 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 158 | 4 | 162 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 11 | 11 |
| Total | 158 | 18 | 176 |
| Status | Error | Program |
|---|---|---|
| ✓ | 61.6b | (*.f64 1/2 x) |
| 57.1b | (*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 (-.f64 1/4 (*.f64 y y)) x)) | |
| 20.7b | (+.f64 (expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2)) | |
| ✓ | 28.9b | (log.f64 2) |
| ✓ | 4.9b | (-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y)) |
| ✓ | 57.1b | (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) |
| ✓ | 29.1b | (log.f64 (+.f64 2 x)) |
| ✓ | 28.4b | (+.f64 (*.f64 1/2 x) (log.f64 2)) |
| ✓ | 9.6b | (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
| ✓ | 43.4b | (*.f64 (-.f64 1/2 y) x) |
| 54.6b | (*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x))) | |
| ✓ | 4.3b | (-.f64 (log.f64 2) (*.f64 x y)) |
| 28.5b | (log1p.f64 (exp.f64 x)) | |
| ✓ | 34.4b | (*.f64 x (neg.f64 y)) |
| ✓ | 10.1b | (-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y)) |
| 54.9b | (/.f64 (*.f64 y (*.f64 y (neg.f64 x))) (+.f64 1/2 y)) | |
| ✓ | 4.3b | (fma.f64 (neg.f64 y) x (log.f64 2)) |
| 62.0b | (/.f64 (*.f64 x 1/4) (+.f64 1/2 y)) |
Compiled 171 to 132 computations (22.8% saved)
| Inputs |
|---|
(*.f64 1/2 x) |
(*.f64 x (neg.f64 y)) |
(*.f64 (-.f64 1/2 y) x) |
(/.f64 (*.f64 x 1/4) (+.f64 1/2 y)) |
(/.f64 (*.f64 y (*.f64 y (neg.f64 x))) (+.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) |
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 (-.f64 1/4 (*.f64 y y)) x)) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x))) |
(log.f64 2) |
(log.f64 2) |
(log.f64 (+.f64 2 x)) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y)) |
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y)) |
(log1p.f64 (exp.f64 x)) |
(fma.f64 (neg.f64 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 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
(-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y)) |
(+.f64 (expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2)) |
| Outputs |
|---|
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
4 calls:
| 24.0ms | (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
| 23.0ms | x |
| 15.0ms | y |
| 9.0ms | (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | x |
| 0.3b | 1 | y |
| 0.3b | 1 | (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
| 0.3b | 1 | (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
Compiled 222 to 144 computations (35.1% saved)
| Inputs |
|---|
(*.f64 1/2 x) |
(*.f64 x (neg.f64 y)) |
(*.f64 (-.f64 1/2 y) x) |
(/.f64 (*.f64 x 1/4) (+.f64 1/2 y)) |
(/.f64 (*.f64 y (*.f64 y (neg.f64 x))) (+.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) |
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 (-.f64 1/4 (*.f64 y y)) x)) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x))) |
(log.f64 2) |
(log.f64 2) |
(log.f64 (+.f64 2 x)) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y)) |
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y)) |
(log1p.f64 (exp.f64 x)) |
(fma.f64 (neg.f64 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)) |
| Outputs |
|---|
(*.f64 x (neg.f64 y)) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
2 calls:
| 29.0ms | x |
| 12.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 2 | x |
| 4.3b | 1 | y |
Compiled 163 to 110 computations (32.5% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 28.0ms | -15670.43385420278 | -7.363710873424979e-16 |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
(*.f64 1/2 x) |
(*.f64 x (neg.f64 y)) |
(*.f64 (-.f64 1/2 y) x) |
(/.f64 (*.f64 x 1/4) (+.f64 1/2 y)) |
(/.f64 (*.f64 y (*.f64 y (neg.f64 x))) (+.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) |
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 (-.f64 1/4 (*.f64 y y)) x)) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x))) |
(log.f64 2) |
(log.f64 2) |
(log.f64 (+.f64 2 x)) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y)) |
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y)) |
(log1p.f64 (exp.f64 x)) |
(fma.f64 (neg.f64 y) x (log.f64 2)) |
| Outputs |
|---|
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
2 calls:
| 29.0ms | x |
| 11.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 2 | x |
| 4.3b | 1 | y |
Compiled 149 to 100 computations (32.9% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 26.0ms | -15670.43385420278 | -7.363710873424979e-16 |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
(*.f64 1/2 x) |
(*.f64 x (neg.f64 y)) |
(*.f64 (-.f64 1/2 y) x) |
(/.f64 (*.f64 x 1/4) (+.f64 1/2 y)) |
(/.f64 (*.f64 y (*.f64 y (neg.f64 x))) (+.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) |
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 (-.f64 1/4 (*.f64 y y)) x)) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x))) |
(log.f64 2) |
(log.f64 2) |
(log.f64 (+.f64 2 x)) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) |
| Outputs |
|---|
(*.f64 x (neg.f64 y)) |
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) |
2 calls:
| 20.0ms | x |
| 8.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 2 | x |
| 4.3b | 1 | y |
Compiled 108 to 72 computations (33.3% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 26.0ms | -15670.43385420278 | -7.363710873424979e-16 |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
(*.f64 1/2 x) |
(*.f64 x (neg.f64 y)) |
(*.f64 (-.f64 1/2 y) x) |
(/.f64 (*.f64 x 1/4) (+.f64 1/2 y)) |
(/.f64 (*.f64 y (*.f64 y (neg.f64 x))) (+.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) |
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 (-.f64 1/4 (*.f64 y y)) x)) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x))) |
(log.f64 2) |
(log.f64 2) |
(log.f64 (+.f64 2 x)) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 x y)) |
| Outputs |
|---|
(*.f64 x (neg.f64 y)) |
(-.f64 (log.f64 2) (*.f64 x y)) |
2 calls:
| 19.0ms | y |
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.8b | 2 | x |
| 4.3b | 1 | y |
Compiled 100 to 68 computations (32% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 34.0ms | -15670.43385420278 | -7.363710873424979e-16 |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
(*.f64 1/2 x) |
(*.f64 x (neg.f64 y)) |
(*.f64 (-.f64 1/2 y) x) |
(/.f64 (*.f64 x 1/4) (+.f64 1/2 y)) |
(/.f64 (*.f64 y (*.f64 y (neg.f64 x))) (+.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) |
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 (-.f64 1/4 (*.f64 y y)) x)) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x))) |
(log.f64 2) |
(log.f64 2) |
(log.f64 (+.f64 2 x)) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
| Outputs |
|---|
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
2 calls:
| 37.0ms | y |
| 34.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 10.3b | 2 | x |
| 14.5b | 5 | y |
Compiled 94 to 64 computations (31.9% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 50.0ms | -7.646644125225055e-41 | -9.970205289367702e-48 |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
(*.f64 1/2 x) |
(*.f64 x (neg.f64 y)) |
(*.f64 (-.f64 1/2 y) x) |
(/.f64 (*.f64 x 1/4) (+.f64 1/2 y)) |
(/.f64 (*.f64 y (*.f64 y (neg.f64 x))) (+.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) |
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 (-.f64 1/4 (*.f64 y y)) x)) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x))) |
(log.f64 2) |
(log.f64 2) |
(log.f64 (+.f64 2 x)) |
| Outputs |
|---|
(*.f64 x (neg.f64 y)) |
(log.f64 (+.f64 2 x)) |
2 calls:
| 108.0ms | y |
| 26.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 10.3b | 2 | x |
| 13.7b | 7 | y |
Compiled 82 to 54 computations (34.1% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 50.0ms | -7.646644125225055e-41 | -9.970205289367702e-48 |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
(*.f64 1/2 x) |
(*.f64 x (neg.f64 y)) |
(*.f64 (-.f64 1/2 y) x) |
(/.f64 (*.f64 x 1/4) (+.f64 1/2 y)) |
(/.f64 (*.f64 y (*.f64 y (neg.f64 x))) (+.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) |
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 (-.f64 1/4 (*.f64 y y)) x)) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x))) |
(log.f64 2) |
(log.f64 2) |
| Outputs |
|---|
(*.f64 x (neg.f64 y)) |
(log.f64 2) |
2 calls:
| 71.0ms | y |
| 35.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 10.7b | 2 | x |
| 14.9b | 5 | y |
Compiled 78 to 51 computations (34.6% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 49.0ms | -7.646644125225055e-41 | -9.970205289367702e-48 |
Compiled 16 to 12 computations (25% saved)
Total -28.5b remaining (-83%)
Threshold costs -28.5b (-83%)
| Inputs |
|---|
(*.f64 1/2 x) |
(*.f64 x (neg.f64 y)) |
(*.f64 (-.f64 1/2 y) x) |
(/.f64 (*.f64 x 1/4) (+.f64 1/2 y)) |
(/.f64 (*.f64 y (*.f64 y (neg.f64 x))) (+.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) |
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 (-.f64 1/4 (*.f64 y y)) x)) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x))) |
| Outputs |
|---|
(*.f64 x (neg.f64 y)) |
2 calls:
| 21.0ms | y |
| 11.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 34.4b | 1 | x |
| 34.4b | 1 | y |
Compiled 74 to 47 computations (36.5% saved)
| 1× | egg-herbie |
| 10× | +-commutative_binary64 |
| 7× | *-commutative_binary64 |
| 7× | sub-neg_binary64 |
| 3× | cancel-sign-sub-inv_binary64 |
| 3× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 166 |
| 1 | 58 | 166 |
| 2 | 69 | 166 |
| 3 | 74 | 166 |
| 4 | 76 | 166 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(if (<=.f64 x -4307456058747659/274877906944) (*.f64 x (neg.f64 y)) (fma.f64 (-.f64 1/2 y) x (log.f64 2))) |
(if (<=.f64 x -4307456058747659/274877906944) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))) |
(if (<=.f64 x -4307456058747659/274877906944) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) |
(if (<=.f64 x -4307456058747659/274877906944) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y))) |
(if (<=.f64 x -7499806735677275/98079714615416886934934209737619787751599303819750539264) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 1/2 x) (log.f64 2))) |
(if (<=.f64 x -7499806735677275/98079714615416886934934209737619787751599303819750539264) (*.f64 x (neg.f64 y)) (log.f64 (+.f64 2 x))) |
(if (<=.f64 x -7499806735677275/98079714615416886934934209737619787751599303819750539264) (*.f64 x (neg.f64 y)) (log.f64 2)) |
(*.f64 x (neg.f64 y)) |
(*.f64 1/2 x) |
| Outputs |
|---|
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(if (<=.f64 x -4307456058747659/274877906944) (*.f64 x (neg.f64 y)) (fma.f64 (-.f64 1/2 y) x (log.f64 2))) |
(if (<=.f64 x -4307456058747659/274877906944) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))) |
(if (<=.f64 x -4307456058747659/274877906944) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) |
(if (<=.f64 x -4307456058747659/274877906944) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) |
(if (<=.f64 x -4307456058747659/274877906944) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))) |
(if (<=.f64 x -4307456058747659/274877906944) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y))) |
(if (<=.f64 x -7499806735677275/98079714615416886934934209737619787751599303819750539264) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 1/2 x) (log.f64 2))) |
(if (<=.f64 x -7499806735677275/98079714615416886934934209737619787751599303819750539264) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x 1/2))) |
(if (<=.f64 x -7499806735677275/98079714615416886934934209737619787751599303819750539264) (*.f64 x (neg.f64 y)) (log.f64 (+.f64 2 x))) |
(if (<=.f64 x -7499806735677275/98079714615416886934934209737619787751599303819750539264) (*.f64 x (neg.f64 y)) (log.f64 (+.f64 x 2))) |
(if (<=.f64 x -7499806735677275/98079714615416886934934209737619787751599303819750539264) (*.f64 x (neg.f64 y)) (log.f64 2)) |
(*.f64 x (neg.f64 y)) |
(*.f64 1/2 x) |
(*.f64 x 1/2) |
Compiled 131 to 93 computations (29% saved)
| 1× | egg-herbie |
| 479× | fma-def_binary64 |
| 369× | times-frac_binary64 |
| 368× | associate-*l*_binary64 |
| 315× | associate-/l*_binary64 |
| 289× | associate-/l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 11 |
| 1 | 19 | 11 |
| 2 | 30 | 11 |
| 3 | 47 | 11 |
| 4 | 66 | 11 |
| 5 | 100 | 11 |
| 6 | 154 | 11 |
| 7 | 206 | 11 |
| 8 | 275 | 11 |
| 9 | 354 | 11 |
| 10 | 416 | 11 |
| 11 | 442 | 11 |
| 12 | 521 | 11 |
| 13 | 749 | 11 |
| 14 | 1685 | 11 |
| 15 | 4925 | 11 |
| 16 | 6027 | 11 |
| 17 | 7666 | 11 |
| 1× | node limit |
Compiled 20 to 14 computations (30% saved)
Compiled 113 to 59 computations (47.8% saved)
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