Time bar (total: 11.1s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 25% | 74.9% | 0.1% | 5 |
| 31.2% | 68.7% | 0.1% | 6 |
| 43.7% | 51.5% | 4.8% | 7 |
| 48.4% | 46.8% | 4.8% | 8 |
| 55.4% | 37.5% | 7.1% | 9 |
| 58.1% | 34.7% | 7.1% | 10 |
| 61.9% | 29.9% | 8.3% | 11 |
| 63.3% | 28.4% | 8.3% | 12 |
Compiled 12 to 9 computations (25% saved)
| 3.1s | 2519× | body | 8192 | exit |
| 1.3s | 7763× | body | 256 | valid |
| 137.0ms | 230× | body | 1024 | valid |
| 89.0ms | 260× | body | 512 | valid |
| 26.0ms | 147× | body | 256 | invalid |
| 6.0ms | 3× | 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 |
|---|---|---|
| ▶ | 1.3b | (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
| ▶ | 1.0b | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
Compiled 20 to 14 computations (30% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
| ✓ | 1.3b | (log.f64 (+.f64 1 (exp.f64 x))) |
Compiled 28 to 14 computations (50% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | x | @ | inf | (log.f64 (+.f64 1 (exp.f64 x))) |
| 24.0ms | 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 | y | @ | 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 | 16 |
| 1 | 188 | 16 |
| 2 | 2516 | 16 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 1 (exp.f64 x))) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
| Outputs |
|---|
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#<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 (exp.f64 x)) 1 (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 (exp.f64 x)) 1 (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 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fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) 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(cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) 2) (cbrt.f64 (*.f64 x (neg.f64 y))) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x y) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) y (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log1p.f64 (exp.f64 x))))))) |
| 1× | egg-herbie |
| 627× | fma-neg_binary64 |
| 570× | associate-*l*_binary64 |
| 536× | 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 | 323 |
| 1 | 86 | 293 |
| 2 | 182 | 293 |
| 3 | 433 | 281 |
| 4 | 1391 | 281 |
| 5 | 3821 | 281 |
| 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))) |
| 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)) |
(fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2)))) |
(fma.f64 (-.f64 1/2 y) x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) |
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) |
(fma.f64 x (-.f64 1/2 y) (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) |
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) |
(fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.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 y (neg.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 y (neg.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 y (neg.f64 x) (log1p.f64 (exp.f64 x))) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -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 y (neg.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 y (neg.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 y (neg.f64 x) (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 y (neg.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 y (neg.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 y (neg.f64 x) (log1p.f64 (exp.f64 x))) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -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 y (neg.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 y (neg.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 y (neg.f64 x) (log1p.f64 (exp.f64 x))) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -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 y (neg.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 y (neg.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 y (neg.f64 x) (log1p.f64 (exp.f64 x))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| ✓ | 1.0b | (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 | @ | 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 | y | @ | inf | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| 1× | batch-egg-rewrite |
| 792× | pow1_binary64 |
| 733× | add-log-exp_binary64 |
| 733× | expm1-log1p-u_binary64 |
| 732× | log1p-expm1-u_binary64 |
| 716× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 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 4859 to 1508 computations (69% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 259 | 8 | 267 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 260 | 9 | 269 |
| Status | Error | Program |
|---|---|---|
| ▶ | 14.0b | (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
| 30.6b | (log1p.f64 (exp.f64 x)) | |
| ▶ | 30.9b | (log.f64 (+.f64 1 (exp.f64 x))) |
| 7.1b | (-.f64 (log.f64 2) (*.f64 x y)) | |
| ▶ | 32.6b | (*.f64 y (neg.f64 x)) |
| 1.8b | (-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y)) | |
| ▶ | 16.3b | (+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2))) |
| ▶ | 1.0b | (-.f64 (*.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x)))) (*.f64 x y)) |
| ✓ | 1.0b | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
Compiled 165 to 128 computations (22.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x)))) (*.f64 x y)) |
| ✓ | 0.7b | (*.f64 1/3 (log1p.f64 (exp.f64 x))) |
| ✓ | 0.7b | (*.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x)))) |
| 1.0b | (log1p.f64 (exp.f64 x)) |
Compiled 37 to 18 computations (51.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | x | @ | -inf | (*.f64 1/3 (log1p.f64 (exp.f64 x))) |
| 1.0ms | x | @ | inf | (*.f64 1/3 (log1p.f64 (exp.f64 x))) |
| 1.0ms | x | @ | 0 | (*.f64 1/3 (log1p.f64 (exp.f64 x))) |
| 1.0ms | x | @ | 0 | (*.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x)))) |
| 1.0ms | x | @ | 0 | (-.f64 (*.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x)))) (*.f64 x y)) |
| 1× | batch-egg-rewrite |
| 518× | log-prod_binary64 |
| 390× | fma-def_binary64 |
| 381× | exp-prod_binary64 |
| 300× | pow-prod-down_binary64 |
| 268× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 24 |
| 1 | 240 | 24 |
| 2 | 2758 | 24 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x)))) |
(*.f64 1/3 (log1p.f64 (exp.f64 x))) |
(-.f64 (*.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x)))) (*.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (*.f64 1/3 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (exp.f64 (*.f64 3 x))) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (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 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (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 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))))))) (#(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 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 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (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 0 (*.f64 1/3 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (log.f64 (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))))) 2)) (cbrt.f64 (log.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x)))))) (sqrt.f64 (log.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x)))) 1) 1)))))) |
((#(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)) (fma.f64 x (neg.f64 y) (fma.f64 x (neg.f64 y) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 x (neg.f64 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)) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 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| 1× | egg-herbie |
| 554× | distribute-rgt-neg-in_binary64 |
| 540× | fma-def_binary64 |
| 498× | cancel-sign-sub-inv_binary64 |
| 435× | fma-neg_binary64 |
| 430× | distribute-lft-out_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 484 |
| 1 | 123 | 454 |
| 2 | 265 | 453 |
| 3 | 633 | 436 |
| 4 | 1934 | 436 |
| 5 | 3492 | 436 |
| 6 | 6664 | 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))) |
(*.f64 1/3 (log.f64 2)) |
(+.f64 (*.f64 1/6 x) (*.f64 1/3 (log.f64 2))) |
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (*.f64 1/3 (log.f64 2)))) |
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/576 (pow.f64 x 4)) (*.f64 1/3 (log.f64 2))))) |
(*.f64 1/3 (log.f64 (+.f64 1 (exp.f64 x)))) |
(*.f64 1/3 (log.f64 (+.f64 1 (exp.f64 x)))) |
(*.f64 1/3 (log.f64 (+.f64 1 (exp.f64 x)))) |
(*.f64 1/3 (log.f64 (+.f64 1 (exp.f64 x)))) |
(*.f64 1/3 (log.f64 (+.f64 1 (exp.f64 x)))) |
(*.f64 1/3 (log.f64 (+.f64 1 (exp.f64 x)))) |
(*.f64 1/3 (log.f64 (+.f64 1 (exp.f64 x)))) |
(*.f64 1/3 (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)) |
(*.f64 1/3 (log.f64 2)) |
(*.f64 (log.f64 2) 1/3) |
(+.f64 (*.f64 1/6 x) (*.f64 1/3 (log.f64 2))) |
(fma.f64 1/6 x (*.f64 (log.f64 2) 1/3)) |
(fma.f64 (log.f64 2) 1/3 (*.f64 x 1/6)) |
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (*.f64 1/3 (log.f64 2)))) |
(fma.f64 1/6 x (fma.f64 1/24 (*.f64 x x) (*.f64 (log.f64 2) 1/3))) |
(fma.f64 x 1/6 (fma.f64 (log.f64 2) 1/3 (*.f64 x (*.f64 x 1/24)))) |
(fma.f64 (log.f64 2) 1/3 (*.f64 x (+.f64 1/6 (*.f64 x 1/24)))) |
(fma.f64 x (fma.f64 x 1/24 1/6) (*.f64 (log.f64 2) 1/3)) |
(fma.f64 (log.f64 2) 1/3 (*.f64 x (fma.f64 x 1/24 1/6))) |
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/576 (pow.f64 x 4)) (*.f64 1/3 (log.f64 2))))) |
(fma.f64 1/6 x (fma.f64 1/24 (*.f64 x x) (fma.f64 -1/576 (pow.f64 x 4) (*.f64 (log.f64 2) 1/3)))) |
(fma.f64 x 1/6 (fma.f64 (*.f64 x x) 1/24 (fma.f64 (log.f64 2) 1/3 (*.f64 (pow.f64 x 4) -1/576)))) |
(fma.f64 x 1/6 (fma.f64 (log.f64 2) 1/3 (fma.f64 x (*.f64 x 1/24) (*.f64 (pow.f64 x 4) -1/576)))) |
(fma.f64 (log.f64 2) 1/3 (fma.f64 x (fma.f64 x 1/24 1/6) (*.f64 (pow.f64 x 4) -1/576))) |
(*.f64 1/3 (log.f64 (+.f64 1 (exp.f64 x)))) |
(*.f64 (log1p.f64 (exp.f64 x)) 1/3) |
(*.f64 1/3 (log.f64 (+.f64 1 (exp.f64 x)))) |
(*.f64 (log1p.f64 (exp.f64 x)) 1/3) |
(*.f64 1/3 (log.f64 (+.f64 1 (exp.f64 x)))) |
(*.f64 (log1p.f64 (exp.f64 x)) 1/3) |
(*.f64 1/3 (log.f64 (+.f64 1 (exp.f64 x)))) |
(*.f64 (log1p.f64 (exp.f64 x)) 1/3) |
(*.f64 1/3 (log.f64 (+.f64 1 (exp.f64 x)))) |
(*.f64 (log1p.f64 (exp.f64 x)) 1/3) |
(*.f64 1/3 (log.f64 (+.f64 1 (exp.f64 x)))) |
(*.f64 (log1p.f64 (exp.f64 x)) 1/3) |
(*.f64 1/3 (log.f64 (+.f64 1 (exp.f64 x)))) |
(*.f64 (log1p.f64 (exp.f64 x)) 1/3) |
(*.f64 1/3 (log.f64 (+.f64 1 (exp.f64 x)))) |
(*.f64 (log1p.f64 (exp.f64 x)) 1/3) |
(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 y (neg.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 y (neg.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)) |
(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 y (neg.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 y (neg.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)) |
Compiled 10 to 4 computations (60% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (-.f64 1/2 y) x) |
| ✓ | 0.0b | (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
Compiled 24 to 17 computations (29.2% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | 0 | (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
| 3.0ms | x | @ | 0 | (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
| 1.0ms | y | @ | inf | (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
| 1.0ms | x | @ | -inf | (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
| 1.0ms | x | @ | inf | (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
| 1× | batch-egg-rewrite |
| 864× | prod-diff_binary64 |
| 596× | unpow-prod-down_binary64 |
| 435× | log-prod_binary64 |
| 278× | fma-def_binary64 |
| 257× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 200 | 17 |
| 2 | 2629 | 17 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(*.f64 (-.f64 1/2 y) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (pow.f64 (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (pow.f64 (/.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2) 3) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (-.f64 1/2 y) (*.f64 x (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) (neg.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1/2 y) x) 1 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 2) 1 (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)) (log.f64 2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (*.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 1/2 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 1/2 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (*.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (*.f64 x (neg.f64 y))))))) |
| 1× | egg-herbie |
| 267× | fma-neg_binary64 |
| 247× | fma-def_binary64 |
| 89× | cancel-sign-sub-inv_binary64 |
| 42× | sub-neg_binary64 |
| 38× | associate--r+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 250 |
| 1 | 33 | 223 |
| 2 | 64 | 205 |
| 3 | 107 | 205 |
| 4 | 160 | 205 |
| 5 | 254 | 205 |
| 6 | 452 | 205 |
| 7 | 660 | 205 |
| 8 | 875 | 205 |
| 9 | 1096 | 205 |
| 10 | 1116 | 205 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(log.f64 2) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
| Outputs |
|---|
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(fma.f64 1/2 x (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(log.f64 2) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.3b | (log.f64 (+.f64 1 (exp.f64 x))) |
Compiled 15 to 9 computations (40% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)) |
| ✓ | 0.0b | (*.f64 1/8 (pow.f64 x 2)) |
| 0.0b | (*.f64 (-.f64 1/2 y) x) | |
| ✓ | 0.0b | (+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2))) |
Compiled 47 to 36 computations (23.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)) |
| 1.0ms | y | @ | 0 | (+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2))) |
| 1.0ms | x | @ | inf | (+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2))) |
| 1.0ms | x | @ | 0 | (*.f64 1/8 (pow.f64 x 2)) |
| 1.0ms | x | @ | inf | (*.f64 1/8 (pow.f64 x 2)) |
| 1× | batch-egg-rewrite |
| 633× | log-prod_binary64 |
| 602× | fma-def_binary64 |
| 365× | pow2_binary64 |
| 318× | fma-neg_binary64 |
| 251× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 34 |
| 1 | 293 | 34 |
| 2 | 3920 | 34 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2))) |
(*.f64 1/8 (pow.f64 x 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)) |
| Outputs |
|---|
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x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/8 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (+.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/8)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/8))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 2) 1/512) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/64))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 2) 1/512))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/8))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/8) (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/64) (fma.f64 x (*.f64 x 1/8) (log1p.f64 -1/2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x (*.f64 x 1/8) (log1p.f64 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x 1/8) (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x 1/8) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/8) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/8) (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/8) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (*.f64 x 1/8) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/8) (log.f64 2))) (sqrt.f64 (fma.f64 x (*.f64 x 1/8) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 2) 1/512 (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (*.f64 x 1/8))) (*.f64 (pow.f64 x 4) 1/64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 x (*.f64 x 1/8) (log1p.f64 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (*.f64 x 1/8))) (*.f64 (pow.f64 x 4) 1/64)) (fma.f64 (pow.f64 (pow.f64 x 3) 2) 1/512 (pow.f64 (log.f64 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (*.f64 x 1/8) (log1p.f64 -1/2)) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (log.f64 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 2) 1/512 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (*.f64 x 1/8))) (*.f64 (pow.f64 x 4) 1/64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 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egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 1/8)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/8) (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/8) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 1/8) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 x 1/8) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x 1/8) (log.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 1/8) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/8 (*.f64 x x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1/8 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x 1/8)) 1 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 2) 1 (*.f64 x (*.f64 x 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x 1/8)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (*.f64 x (*.f64 x 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 x (*.f64 x 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (*.f64 x 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/8) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/64)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/64)) (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (*.f64 x 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 1/8)) (*.f64 x (sqrt.f64 1/8)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/8 x) x (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/8 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (log.f64 2)))))) |
| 1× | egg-herbie |
| 724× | fma-neg_binary64 |
| 665× | cancel-sign-sub-inv_binary64 |
| 576× | distribute-rgt-neg-in_binary64 |
| 438× | fma-def_binary64 |
| 422× | distribute-lft-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 296 |
| 1 | 54 | 251 |
| 2 | 115 | 249 |
| 3 | 302 | 215 |
| 4 | 834 | 215 |
| 5 | 2466 | 215 |
| 6 | 5522 | 215 |
| 7 | 7675 | 215 |
| 1× | node limit |
| Inputs |
|---|
(+.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 (*.f64 y x))))) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.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 1/8 (pow.f64 x 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 1/8 (pow.f64 x 2))) |
(*.f64 1/8 (pow.f64 x 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 1/8 (pow.f64 x 2))) |
(log.f64 2) |
(*.f64 1/8 (pow.f64 x 2)) |
(*.f64 1/8 (pow.f64 x 2)) |
| Outputs |
|---|
(+.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 1/8 (*.f64 x x) (fma.f64 x 1/2 (log.f64 2))) |
(fma.f64 x (fma.f64 1/8 x 1/2) (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))) |
(fma.f64 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))) |
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (log.f64 2))) |
(fma.f64 x (-.f64 (fma.f64 1/8 x 1/2) y) (log.f64 2)) |
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))) |
(fma.f64 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))) |
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (log.f64 2))) |
(fma.f64 x (-.f64 (fma.f64 1/8 x 1/2) y) (log.f64 2)) |
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))) |
(fma.f64 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))) |
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (log.f64 2))) |
(fma.f64 x (-.f64 (fma.f64 1/8 x 1/2) y) (log.f64 2)) |
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (log.f64 2)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 y (neg.f64 x)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))) |
(fma.f64 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))) |
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (log.f64 2))) |
(fma.f64 x (-.f64 (fma.f64 1/8 x 1/2) y) (log.f64 2)) |
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))) |
(fma.f64 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))) |
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (log.f64 2))) |
(fma.f64 x (-.f64 (fma.f64 1/8 x 1/2) y) (log.f64 2)) |
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))) |
(fma.f64 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))) |
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (log.f64 2))) |
(fma.f64 x (-.f64 (fma.f64 1/8 x 1/2) y) (log.f64 2)) |
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (log.f64 2)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 y (neg.f64 x)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))) |
(fma.f64 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))) |
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (log.f64 2))) |
(fma.f64 x (-.f64 (fma.f64 1/8 x 1/2) y) (log.f64 2)) |
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))) |
(fma.f64 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))) |
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (log.f64 2))) |
(fma.f64 x (-.f64 (fma.f64 1/8 x 1/2) y) (log.f64 2)) |
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))) |
(fma.f64 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))) |
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (log.f64 2))) |
(fma.f64 x (-.f64 (fma.f64 1/8 x 1/2) y) (log.f64 2)) |
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (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 1/8 (pow.f64 x 2)) |
(*.f64 1/8 (*.f64 x x)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 1/8 (pow.f64 x 2))) |
(fma.f64 (-.f64 1/2 y) x (*.f64 1/8 (*.f64 x x))) |
(fma.f64 1/8 (*.f64 x x) (*.f64 x (-.f64 1/2 y))) |
(*.f64 x (+.f64 (*.f64 1/8 x) (-.f64 1/2 y))) |
(*.f64 x (-.f64 (fma.f64 1/8 x 1/2) y)) |
(*.f64 x (fma.f64 1/8 x (-.f64 1/2 y))) |
(*.f64 1/8 (pow.f64 x 2)) |
(*.f64 1/8 (*.f64 x x)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 1/8 (pow.f64 x 2))) |
(fma.f64 (-.f64 1/2 y) x (*.f64 1/8 (*.f64 x x))) |
(fma.f64 1/8 (*.f64 x x) (*.f64 x (-.f64 1/2 y))) |
(*.f64 x (+.f64 (*.f64 1/8 x) (-.f64 1/2 y))) |
(*.f64 x (-.f64 (fma.f64 1/8 x 1/2) y)) |
(*.f64 x (fma.f64 1/8 x (-.f64 1/2 y))) |
(log.f64 2) |
(*.f64 1/8 (pow.f64 x 2)) |
(*.f64 1/8 (*.f64 x x)) |
(*.f64 1/8 (pow.f64 x 2)) |
(*.f64 1/8 (*.f64 x x)) |
Compiled 10295 to 5751 computations (44.1% saved)
16 alts after pruning (13 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 592 | 10 | 602 |
| Fresh | 0 | 3 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 3 | 5 |
| Total | 595 | 16 | 611 |
| Status | Error | Program |
|---|---|---|
| ✓ | 14.0b | (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
| ▶ | 61.9b | (*.f64 1/8 (*.f64 x x)) |
| 30.6b | (*.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x)))) | |
| ▶ | 14.4b | (+.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3) (log.f64 2)) |
| ▶ | 31.2b | (+.f64 (*.f64 1/2 x) (log.f64 2)) |
| ✓ | 1.0b | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| 16.2b | (*.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)))) | |
| 30.6b | (log1p.f64 (exp.f64 x)) | |
| 14.0b | (-.f64 (*.f64 3 (+.f64 (*.f64 1/6 x) (*.f64 1/3 (log.f64 2)))) (*.f64 x y)) | |
| 7.1b | (-.f64 (log.f64 2) (*.f64 x y)) | |
| ✓ | 32.6b | (*.f64 y (neg.f64 x)) |
| ▶ | 1.8b | (-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y)) |
| 23.1b | (exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) | |
| ▶ | 16.3b | (+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (+.f64 0 (*.f64 x (*.f64 x 1/8))) (log.f64 2))) |
| 31.3b | (log.f64 2) | |
| 45.2b | (*.f64 (-.f64 1/2 y) x) |
Compiled 311 to 250 computations (19.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y)) |
| ✓ | 0.0b | (+.f64 1 (log1p.f64 (exp.f64 x))) |
| 1.0b | (log1p.f64 (exp.f64 x)) | |
| ✓ | 1.0b | (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) |
Compiled 36 to 17 computations (52.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) |
| 0.0ms | x | @ | 0 | (+.f64 1 (log1p.f64 (exp.f64 x))) |
| 0.0ms | x | @ | inf | (+.f64 1 (log1p.f64 (exp.f64 x))) |
| 0.0ms | x | @ | inf | (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) |
| 0.0ms | x | @ | -inf | (+.f64 1 (log1p.f64 (exp.f64 x))) |
| 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 1 (log1p.f64 (exp.f64 x))) |
(-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y)) |
| 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 *.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 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 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(pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x)))))) -1)))) (#(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 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (log1p.f64 (exp.f64 x))) 1))))) (#(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 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (log1p.f64 (exp.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 (exp.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 (exp.f64 x)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) 0)))) (#(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))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (/.f64 1 (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (/.f64 1 (-.f64 1 (log1p.f64 (exp.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1)) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1) 1))))) |
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (/.f64 1 (-.f64 1 (log1p.f64 (exp.f64 x)))) (-.f64 -1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (/.f64 1 (-.f64 1 (log1p.f64 (exp.f64 x)))) (+.f64 -1 (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (/.f64 1 (-.f64 1 (log1p.f64 (exp.f64 x)))) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) 2) (cbrt.f64 (*.f64 x (neg.f64 y))) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (-.f64 1 (fma.f64 x y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) y (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log1p.f64 (exp.f64 x))))))) |
| 1× | egg-herbie |
| 627× | fma-neg_binary64 |
| 567× | associate-*l*_binary64 |
| 537× | 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 | 630 | 436 |
| 4 | 1782 | 436 |
| 5 | 4264 | 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))) |
(+.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)))) |
(log.f64 2) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2))) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2)))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
| Outputs |
|---|
(log.f64 2) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(fma.f64 1/2 x (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (log.f64 2))) |
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2))) |
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (log.f64 2))) |
(fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2)))) |
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) |
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) |
(fma.f64 x (fma.f64 x 1/8 1/2) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) |
(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)) |
(+.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 (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 (fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (log.f64 2))) 1) |
(+.f64 (log.f64 2) (fma.f64 x (fma.f64 x 1/8 1/2) 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 1/2 x (fma.f64 x (*.f64 x 1/8) (log.f64 2))) (fma.f64 -1/192 (pow.f64 x 4) 1)) |
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (fma.f64 x (fma.f64 x 1/8 1/2) 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))) |
(log.f64 2) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2))) |
(fma.f64 (-.f64 1/2 y) x (fma.f64 1/8 (*.f64 x x) (log.f64 2))) |
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2))) |
(fma.f64 x (-.f64 1/2 y) (fma.f64 x (*.f64 x 1/8) (log.f64 2))) |
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2)))) |
(fma.f64 (-.f64 1/2 y) x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) |
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) |
(fma.f64 x (-.f64 1/2 y) (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) |
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.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 y (neg.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)) |
(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 y (neg.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 y (neg.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)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 1/8 (*.f64 x x)) |
Compiled 12 to 6 computations (50% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 1/8 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (*.f64 1/8 (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (*.f64 1/8 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 432× | pow1_binary64 |
| 420× | add-sqr-sqrt_binary64 |
| 411× | *-un-lft-identity_binary64 |
| 402× | add-log-exp_binary64 |
| 402× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 102 | 7 |
| 2 | 1148 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/8 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/8 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/8) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 1/8) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/8) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/8) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/8) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/8 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/8 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/8 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/8) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/8 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/8 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/8 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/8 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1082× | sqr-pow_binary64 |
| 617× | cube-prod_binary64 |
| 559× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
| 446× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 84 |
| 1 | 12 | 84 |
| 2 | 23 | 84 |
| 3 | 44 | 84 |
| 4 | 104 | 84 |
| 5 | 318 | 84 |
| 6 | 1268 | 84 |
| 7 | 2140 | 84 |
| 8 | 2304 | 84 |
| 9 | 2488 | 84 |
| 10 | 2696 | 84 |
| 11 | 2991 | 84 |
| 12 | 3382 | 84 |
| 13 | 3865 | 84 |
| 14 | 4431 | 84 |
| 15 | 5119 | 84 |
| 16 | 5950 | 84 |
| 17 | 6346 | 84 |
| 18 | 6640 | 84 |
| 19 | 6920 | 84 |
| 20 | 6994 | 84 |
| 21 | 7030 | 84 |
| 22 | 7971 | 84 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/8 (pow.f64 x 2)) |
(*.f64 1/8 (pow.f64 x 2)) |
(*.f64 1/8 (pow.f64 x 2)) |
(*.f64 1/8 (pow.f64 x 2)) |
(*.f64 1/8 (pow.f64 x 2)) |
(*.f64 1/8 (pow.f64 x 2)) |
(*.f64 1/8 (pow.f64 x 2)) |
(*.f64 1/8 (pow.f64 x 2)) |
(*.f64 1/8 (pow.f64 x 2)) |
(*.f64 1/8 (pow.f64 x 2)) |
(*.f64 1/8 (pow.f64 x 2)) |
(*.f64 1/8 (pow.f64 x 2)) |
| Outputs |
|---|
(*.f64 1/8 (pow.f64 x 2)) |
(*.f64 1/8 (*.f64 x x)) |
(*.f64 x (*.f64 1/8 x)) |
(*.f64 1/8 (pow.f64 x 2)) |
(*.f64 1/8 (*.f64 x x)) |
(*.f64 x (*.f64 1/8 x)) |
(*.f64 1/8 (pow.f64 x 2)) |
(*.f64 1/8 (*.f64 x x)) |
(*.f64 x (*.f64 1/8 x)) |
(*.f64 1/8 (pow.f64 x 2)) |
(*.f64 1/8 (*.f64 x x)) |
(*.f64 x (*.f64 1/8 x)) |
(*.f64 1/8 (pow.f64 x 2)) |
(*.f64 1/8 (*.f64 x x)) |
(*.f64 x (*.f64 1/8 x)) |
(*.f64 1/8 (pow.f64 x 2)) |
(*.f64 1/8 (*.f64 x x)) |
(*.f64 x (*.f64 1/8 x)) |
(*.f64 1/8 (pow.f64 x 2)) |
(*.f64 1/8 (*.f64 x x)) |
(*.f64 x (*.f64 1/8 x)) |
(*.f64 1/8 (pow.f64 x 2)) |
(*.f64 1/8 (*.f64 x x)) |
(*.f64 x (*.f64 1/8 x)) |
(*.f64 1/8 (pow.f64 x 2)) |
(*.f64 1/8 (*.f64 x x)) |
(*.f64 x (*.f64 1/8 x)) |
(*.f64 1/8 (pow.f64 x 2)) |
(*.f64 1/8 (*.f64 x x)) |
(*.f64 x (*.f64 1/8 x)) |
(*.f64 1/8 (pow.f64 x 2)) |
(*.f64 1/8 (*.f64 x x)) |
(*.f64 x (*.f64 1/8 x)) |
(*.f64 1/8 (pow.f64 x 2)) |
(*.f64 1/8 (*.f64 x x)) |
(*.f64 x (*.f64 1/8 x)) |
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) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (+.f64 0 (*.f64 x (*.f64 x 1/8))) (log.f64 2)) |
| 0.0b | (*.f64 (-.f64 1/2 y) x) | |
| ✓ | 0.0b | (+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (+.f64 0 (*.f64 x (*.f64 x 1/8))) (log.f64 2))) |
Compiled 59 to 43 computations (27.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (+.f64 0 (*.f64 x (*.f64 x 1/8))) (log.f64 2))) |
| 1.0ms | x | @ | inf | (+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (+.f64 0 (*.f64 x (*.f64 x 1/8))) (log.f64 2))) |
| 1.0ms | x | @ | -inf | (+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (+.f64 0 (*.f64 x (*.f64 x 1/8))) (log.f64 2))) |
| 1.0ms | y | @ | inf | (+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (+.f64 0 (*.f64 x (*.f64 x 1/8))) (log.f64 2))) |
| 1.0ms | y | @ | -inf | (+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (+.f64 0 (*.f64 x (*.f64 x 1/8))) (log.f64 2))) |
| 1× | batch-egg-rewrite |
| 803× | fma-def_binary64 |
| 680× | log-prod_binary64 |
| 396× | fma-neg_binary64 |
| 264× | expm1-udef_binary64 |
| 263× | log1p-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 31 |
| 1 | 343 | 27 |
| 2 | 4476 | 26 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (+.f64 0 (*.f64 x (*.f64 x 1/8))) (log.f64 2))) |
(+.f64 (+.f64 0 (*.f64 x (*.f64 x 1/8))) (log.f64 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)) (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (-.f64 (*.f64 (-.f64 1/2 y) x) (fma.f64 x (*.f64 x 1/8) (log.f64 2)))) (/.f64 (pow.f64 (fma.f64 x (*.f64 x 1/8) (log.f64 2)) 2) (-.f64 (*.f64 (-.f64 1/2 y) x) (fma.f64 x (*.f64 x 1/8) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)) (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)) (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)) (log.f64 2))) 2) (cbrt.f64 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1/8) (sqrt.f64 x)) (sqrt.f64 x) (+.f64 0 (log.f64 2))))))) |
| 1× | egg-herbie |
| 724× | fma-neg_binary64 |
| 665× | cancel-sign-sub-inv_binary64 |
| 573× | distribute-rgt-neg-in_binary64 |
| 438× | fma-def_binary64 |
| 418× | distribute-lft-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 518 |
| 1 | 61 | 443 |
| 2 | 123 | 441 |
| 3 | 300 | 389 |
| 4 | 831 | 389 |
| 5 | 2464 | 389 |
| 6 | 5542 | 389 |
| 7 | 7687 | 389 |
| 1× | node limit |
| Inputs |
|---|
(+.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 (*.f64 y x))))) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.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) (+.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)) (log.f64 2))) |
(*.f64 1/8 (pow.f64 x 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 1/8 (pow.f64 x 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)) (log.f64 2))) |
(*.f64 1/8 (pow.f64 x 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 1/8 (pow.f64 x 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)) (log.f64 2))) |
(log.f64 2) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)) |
(*.f64 1/8 (pow.f64 x 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)) |
(*.f64 1/8 (pow.f64 x 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)) |
| Outputs |
|---|
(+.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 1/8 (*.f64 x x) (fma.f64 x 1/2 (log.f64 2))) |
(fma.f64 x (fma.f64 1/8 x 1/2) (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))) |
(fma.f64 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))) |
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2))) |
(fma.f64 x (-.f64 (fma.f64 1/8 x 1/2) y) (log.f64 2)) |
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))) |
(fma.f64 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))) |
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2))) |
(fma.f64 x (-.f64 (fma.f64 1/8 x 1/2) y) (log.f64 2)) |
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))) |
(fma.f64 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))) |
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2))) |
(fma.f64 x (-.f64 (fma.f64 1/8 x 1/2) y) (log.f64 2)) |
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (log.f64 2)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))) |
(fma.f64 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))) |
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2))) |
(fma.f64 x (-.f64 (fma.f64 1/8 x 1/2) y) (log.f64 2)) |
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))) |
(fma.f64 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))) |
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2))) |
(fma.f64 x (-.f64 (fma.f64 1/8 x 1/2) y) (log.f64 2)) |
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))) |
(fma.f64 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))) |
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2))) |
(fma.f64 x (-.f64 (fma.f64 1/8 x 1/2) y) (log.f64 2)) |
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (log.f64 2)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))) |
(fma.f64 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))) |
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2))) |
(fma.f64 x (-.f64 (fma.f64 1/8 x 1/2) y) (log.f64 2)) |
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))) |
(fma.f64 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))) |
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2))) |
(fma.f64 x (-.f64 (fma.f64 1/8 x 1/2) y) (log.f64 2)) |
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))) |
(fma.f64 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))) |
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2))) |
(fma.f64 x (-.f64 (fma.f64 1/8 x 1/2) y) (log.f64 2)) |
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (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 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))) |
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2))) |
(fma.f64 x (-.f64 (fma.f64 1/8 x 1/2) y) (log.f64 2)) |
(fma.f64 x (fma.f64 1/8 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 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))) |
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2))) |
(fma.f64 x (-.f64 (fma.f64 1/8 x 1/2) y) (log.f64 2)) |
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (log.f64 2)) |
(*.f64 1/8 (pow.f64 x 2)) |
(*.f64 1/8 (*.f64 x x)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 1/8 (pow.f64 x 2))) |
(fma.f64 (-.f64 1/2 y) x (*.f64 1/8 (*.f64 x x))) |
(fma.f64 1/8 (*.f64 x x) (*.f64 x (-.f64 1/2 y))) |
(*.f64 x (+.f64 (*.f64 1/8 x) (-.f64 1/2 y))) |
(*.f64 x (-.f64 (fma.f64 1/8 x 1/2) y)) |
(*.f64 x (fma.f64 1/8 x (-.f64 1/2 y))) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2))) |
(fma.f64 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))) |
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2))) |
(fma.f64 x (-.f64 (fma.f64 1/8 x 1/2) y) (log.f64 2)) |
(fma.f64 x (fma.f64 1/8 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 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))) |
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2))) |
(fma.f64 x (-.f64 (fma.f64 1/8 x 1/2) y) (log.f64 2)) |
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (log.f64 2)) |
(*.f64 1/8 (pow.f64 x 2)) |
(*.f64 1/8 (*.f64 x x)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 1/8 (pow.f64 x 2))) |
(fma.f64 (-.f64 1/2 y) x (*.f64 1/8 (*.f64 x x))) |
(fma.f64 1/8 (*.f64 x x) (*.f64 x (-.f64 1/2 y))) |
(*.f64 x (+.f64 (*.f64 1/8 x) (-.f64 1/2 y))) |
(*.f64 x (-.f64 (fma.f64 1/8 x 1/2) y)) |
(*.f64 x (fma.f64 1/8 x (-.f64 1/2 y))) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2))) |
(fma.f64 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))) |
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2))) |
(fma.f64 x (-.f64 (fma.f64 1/8 x 1/2) y) (log.f64 2)) |
(fma.f64 x (fma.f64 1/8 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 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))) |
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2))) |
(fma.f64 x (-.f64 (fma.f64 1/8 x 1/2) y) (log.f64 2)) |
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (log.f64 2)) |
(log.f64 2) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)) |
(fma.f64 1/8 (*.f64 x x) (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)) |
(fma.f64 1/8 (*.f64 x x) (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)) |
(fma.f64 1/8 (*.f64 x x) (log.f64 2)) |
(*.f64 1/8 (pow.f64 x 2)) |
(*.f64 1/8 (*.f64 x x)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)) |
(fma.f64 1/8 (*.f64 x x) (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)) |
(fma.f64 1/8 (*.f64 x x) (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)) |
(fma.f64 1/8 (*.f64 x x) (log.f64 2)) |
(*.f64 1/8 (pow.f64 x 2)) |
(*.f64 1/8 (*.f64 x x)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)) |
(fma.f64 1/8 (*.f64 x x) (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)) |
(fma.f64 1/8 (*.f64 x x) (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)) |
(fma.f64 1/8 (*.f64 x x) (log.f64 2)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 (-.f64 1/2 y) x) | |
| ✓ | 0.0b | (+.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3) (log.f64 2)) |
| ✓ | 0.6b | (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) |
| ✓ | 0.7b | (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3) |
Compiled 42 to 31 computations (26.2% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | y | @ | 0 | (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3) |
| 2.0ms | y | @ | inf | (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3) |
| 2.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3) |
| 1.0ms | y | @ | 0 | (+.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3) (log.f64 2)) |
| 1.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3) |
| 1× | batch-egg-rewrite |
| 509× | log-prod_binary64 |
| 344× | pow-prod-down_binary64 |
| 344× | fma-def_binary64 |
| 294× | pow2_binary64 |
| 206× | pow-to-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 28 |
| 1 | 267 | 26 |
| 2 | 3134 | 26 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3) |
(cbrt.f64 (*.f64 (-.f64 1/2 y) x)) |
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3) (log.f64 2)) |
| Outputs |
|---|
((#(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 1/2 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/2 y) x) 1)))) (#(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 1 (*.f64 (-.f64 1/2 y) x))))) (#(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 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 2) (*.f64 (cbrt.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 (cbrt.f64 (-.f64 1/2 y)) (*.f64 (cbrt.f64 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 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)))))) (#(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 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6) (pow.f64 (*.f64 (-.f64 1/2 y) x) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 5/6) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) 1) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (-.f64 1/2 y))) (cbrt.f64 x))))) (#(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 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 exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (-.f64 1/2 y) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (*.f64 (-.f64 1/2 y) x))) 3/2))))) (#(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 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3/2) 2))))) (#(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))))))) |
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| 1× | egg-herbie |
| 848× | distribute-rgt-in_binary64 |
| 807× | times-frac_binary64 |
| 469× | *-commutative_binary64 |
| 419× | associate-+l+_binary64 |
| 360× | associate-+r+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 138 | 1282 |
| 1 | 470 | 1137 |
| 2 | 1741 | 1112 |
| 3 | 5199 | 1109 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (*.f64 (pow.f64 1 1/3) x)) |
(+.f64 (*.f64 y (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) x))) |
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (cbrt.f64 1/2)) (pow.f64 (*.f64 1 x) 1/3)) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)))))) (+.f64 (*.f64 y (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) x)))) |
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (*.f64 (+.f64 (*.f64 4/27 (*.f64 (pow.f64 1 1/9) (pow.f64 x 2))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 x 7) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (cbrt.f64 1/2))))) (cbrt.f64 1/2))) (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 x 7) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))))) (*.f64 2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 x 7) 1/3)))))))) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (cbrt.f64 1/2)) (pow.f64 (*.f64 1 x) 1/3)) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)))))) (+.f64 (*.f64 y (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) x))))) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 1/2)) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (*.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (*.f64 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 1/2))) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (*.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 11)) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3)))) (*.f64 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 1/2)))) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 x 7) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))) (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (*.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 11)) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3)))) (*.f64 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 1/2))))) |
(+.f64 (log.f64 2) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) x))) |
(+.f64 (*.f64 y (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (+.f64 (log.f64 2) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) x)))) |
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (cbrt.f64 1/2)) (pow.f64 (*.f64 1 x) 1/3)) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)))))) (+.f64 (*.f64 y (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (+.f64 (log.f64 2) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) x))))) |
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (cbrt.f64 1/2)) (pow.f64 (*.f64 1 x) 1/3)) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)))))) (+.f64 (*.f64 y (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (+.f64 (log.f64 2) (+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 4/27 (*.f64 (pow.f64 1 1/9) (pow.f64 x 2))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 x 7) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (cbrt.f64 1/2))))) (cbrt.f64 1/2)) (pow.f64 (*.f64 1 x) 1/3)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 x 7) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))))) (*.f64 2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 x 7) 1/3)))))))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) x)))))) |
(log.f64 2) |
(log.f64 2) |
(log.f64 2) |
(log.f64 2) |
(log.f64 2) |
| Outputs |
|---|
(*.f64 1/2 (*.f64 (pow.f64 1 1/3) x)) |
(*.f64 1/2 x) |
(+.f64 (*.f64 y (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) x))) |
(fma.f64 y (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4))) -1) (*.f64 1/2 x)) |
(fma.f64 y (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) -1)) (*.f64 1/2 x)) |
(fma.f64 1/2 x (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (*.f64 1/2 (cbrt.f64 1/2)))) (neg.f64 y))) |
(fma.f64 1/2 x (*.f64 (cbrt.f64 (*.f64 1/2 (cbrt.f64 1/2))) (*.f64 y (neg.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)))))) |
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (cbrt.f64 1/2)) (pow.f64 (*.f64 1 x) 1/3)) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)))))) (+.f64 (*.f64 y (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) x)))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))) -1/9)) (cbrt.f64 x) (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))) 1/9)) (fma.f64 y (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4))) -1) (*.f64 1/2 x))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))) -1/9)) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))))) (fma.f64 y (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) -1)) (*.f64 1/2 x))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (*.f64 (cbrt.f64 (/.f64 2 (cbrt.f64 1/2))) -1/9)) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)) (*.f64 (*.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (*.f64 1/9 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))))) (fma.f64 1/2 x (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (*.f64 1/2 (cbrt.f64 1/2)))) (neg.f64 y)))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (*.f64 y (fma.f64 (*.f64 (cbrt.f64 (/.f64 2 (cbrt.f64 1/2))) (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (*.f64 (pow.f64 (pow.f64 x 14) 1/18) -1/9))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)) (*.f64 (*.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (*.f64 1/9 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))))))) (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (*.f64 1/2 (cbrt.f64 1/2))))))) |
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(fma.f64 (pow.f64 y 3) (fma.f64 -1/3 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))) (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))) (fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 1/2) (fma.f64 -2/3 (/.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (cbrt.f64 1/2) (*.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/2) 2)) 5/27))) (*.f64 4/27 (*.f64 x x)))) (fma.f64 -1/3 (*.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/2) 2)) 5/27) (*.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/2) 2)) 2/27)))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))) -1/9)) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))))) (fma.f64 y (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) -1)) (*.f64 1/2 x)))) |
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(+.f64 (fma.f64 (pow.f64 y 3) (fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (*.f64 (*.f64 (cbrt.f64 (/.f64 2 (cbrt.f64 1/2))) (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (*.f64 (pow.f64 (pow.f64 x 14) 1/18) -1/9))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (fma.f64 (fma.f64 -2/3 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 1/2)) (*.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/2) 2)) 5/27)) (*.f64 x (*.f64 x 4/27))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)) (fma.f64 -1/3 (*.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/2) 2)) 5/27) (*.f64 (cbrt.f64 (pow.f64 x 7)) (/.f64 2/27 (pow.f64 (cbrt.f64 1/2) 2)))))) (*.f64 1/2 x)) (*.f64 y (-.f64 (*.f64 y (fma.f64 (*.f64 (cbrt.f64 (/.f64 2 (cbrt.f64 1/2))) (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (*.f64 (pow.f64 (pow.f64 x 14) 1/18) -1/9))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)) (*.f64 (*.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (*.f64 1/9 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))))))) (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (*.f64 1/2 (cbrt.f64 1/2))))))) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 1/2)) |
(*.f64 (cbrt.f64 1/2) (cbrt.f64 x)) |
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(fma.f64 (cbrt.f64 1/2) (cbrt.f64 x) (*.f64 (*.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (*.f64 (*.f64 -1/3 (pow.f64 (pow.f64 x 7) 1/18)) (pow.f64 (pow.f64 x 7) 1/18)))) |
(fma.f64 (cbrt.f64 1/2) (cbrt.f64 x) (*.f64 y (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 -1/3 (*.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)))))) |
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(fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (*.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (pow.f64 x 11) 1/18) (pow.f64 (pow.f64 x 11) 1/18)) (*.f64 (*.f64 y y) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)))) |
(fma.f64 -1/3 (*.f64 y (*.f64 (*.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (*.f64 (*.f64 y y) (*.f64 (pow.f64 (pow.f64 x 11) 1/18) (pow.f64 (pow.f64 x 11) 1/18)))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)))) |
(fma.f64 -1/3 (*.f64 y (*.f64 (*.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (*.f64 (pow.f64 (pow.f64 x 11) 1/18) (*.f64 (*.f64 y y) (pow.f64 (pow.f64 x 11) 1/18)))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)))) |
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(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (cbrt.f64 1/2) 2) (+.f64 (*.f64 2/9 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 x 7)))) (*.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 x 7))) -1/27))))) (fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (*.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (pow.f64 x 11) 1/18) (pow.f64 (pow.f64 x 11) 1/18)) (*.f64 (*.f64 y y) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x))))) |
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 1/2) 2)) (*.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/2) 2)) 5/27))) (fma.f64 -1/3 (*.f64 y (*.f64 (*.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (*.f64 (*.f64 y y) (*.f64 (pow.f64 (pow.f64 x 11) 1/18) (pow.f64 (pow.f64 x 11) 1/18)))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x))))) |
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/2) 2)) (/.f64 (/.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 y 3)) 5/27))) (fma.f64 -1/3 (*.f64 y (*.f64 (*.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (*.f64 (pow.f64 (pow.f64 x 11) 1/18) (*.f64 (*.f64 y y) (pow.f64 (pow.f64 x 11) 1/18)))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x))))) |
(+.f64 (log.f64 2) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) x))) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(fma.f64 1/2 x (log.f64 2)) |
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(fma.f64 y (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4))) -1) (+.f64 (*.f64 1/2 x) (log.f64 2))) |
(fma.f64 y (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) -1)) (fma.f64 1/2 x (log.f64 2))) |
(fma.f64 y (neg.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (*.f64 1/2 (cbrt.f64 1/2))))) (fma.f64 1/2 x (log.f64 2))) |
(fma.f64 y (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (neg.f64 (cbrt.f64 (*.f64 1/2 (cbrt.f64 1/2))))) (fma.f64 1/2 x (log.f64 2))) |
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (cbrt.f64 1/2)) (pow.f64 (*.f64 1 x) 1/3)) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)))))) (+.f64 (*.f64 y (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (+.f64 (log.f64 2) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) x))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))) -1/9)) (cbrt.f64 x) (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))) 1/9)) (fma.f64 y (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4))) -1) (+.f64 (*.f64 1/2 x) (log.f64 2)))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))) -1/9)) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))))) (fma.f64 y (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) -1)) (fma.f64 1/2 x (log.f64 2)))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (*.f64 (cbrt.f64 (/.f64 2 (cbrt.f64 1/2))) -1/9)) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)) (*.f64 (*.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (*.f64 1/9 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))))) (fma.f64 y (neg.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (*.f64 1/2 (cbrt.f64 1/2))))) (fma.f64 1/2 x (log.f64 2)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 y (-.f64 (*.f64 y (fma.f64 (*.f64 (cbrt.f64 (/.f64 2 (cbrt.f64 1/2))) (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (*.f64 (pow.f64 (pow.f64 x 14) 1/18) -1/9))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)) (*.f64 (*.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (*.f64 1/9 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))))))) (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (*.f64 1/2 (cbrt.f64 1/2))))))) |
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (cbrt.f64 1/2)) (pow.f64 (*.f64 1 x) 1/3)) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)))))) (+.f64 (*.f64 y (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (+.f64 (log.f64 2) (+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 4/27 (*.f64 (pow.f64 1 1/9) (pow.f64 x 2))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 x 7) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (cbrt.f64 1/2))))) (cbrt.f64 1/2)) (pow.f64 (*.f64 1 x) 1/3)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 x 7) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))))) (*.f64 2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 x 7) 1/3)))))))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) x)))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))) -1/9)) (cbrt.f64 x) (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))) 1/9)) (fma.f64 y (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4))) -1) (+.f64 (log.f64 2) (fma.f64 (pow.f64 y 3) (fma.f64 -1/3 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))) -1/9) (*.f64 (*.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (fma.f64 (*.f64 (cbrt.f64 1/2) (+.f64 (*.f64 4/27 (*.f64 x x)) (*.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (+.f64 (*.f64 2/9 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 x 7)))) (*.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 x 7))) -1/27)) (cbrt.f64 1/2)))))) (cbrt.f64 x) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 2/9 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 x 7)))) (*.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 x 7))) -1/27))) (*.f64 2/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 x 7))))))) (*.f64 1/2 x))))) |
(+.f64 (fma.f64 (pow.f64 y 3) (fma.f64 -1/3 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))) (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))) (fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 1/2) (fma.f64 -2/3 (/.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (cbrt.f64 1/2) (*.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/2) 2)) 5/27))) (*.f64 4/27 (*.f64 x x)))) (fma.f64 -1/3 (*.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/2) 2)) 5/27) (*.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/2) 2)) 2/27)))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))) -1/9)) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))))) (fma.f64 y (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) -1)) (*.f64 1/2 x)))) (log.f64 2)) |
(+.f64 (fma.f64 y (neg.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (*.f64 1/2 (cbrt.f64 1/2))))) (fma.f64 1/2 x (log.f64 2))) (*.f64 (*.f64 y y) (+.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (*.f64 (cbrt.f64 (/.f64 2 (cbrt.f64 1/2))) -1/9)) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)) (*.f64 (*.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (*.f64 1/9 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))))) (*.f64 y (fma.f64 -1/3 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (cbrt.f64 (/.f64 2 (cbrt.f64 1/2)))) (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))) (fma.f64 (fma.f64 -2/3 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 1/2)) (*.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/2) 2)) 5/27)) (*.f64 x (*.f64 x 4/27))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)) (fma.f64 -1/3 (*.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/2) 2)) 5/27) (*.f64 (cbrt.f64 (pow.f64 x 7)) (/.f64 2/27 (pow.f64 (cbrt.f64 1/2) 2)))))))))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (+.f64 (*.f64 (pow.f64 y 3) (fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (*.f64 (*.f64 (cbrt.f64 (/.f64 2 (cbrt.f64 1/2))) (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (*.f64 (pow.f64 (pow.f64 x 14) 1/18) -1/9))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (fma.f64 (fma.f64 -2/3 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 1/2)) (*.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/2) 2)) 5/27)) (*.f64 x (*.f64 x 4/27))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)) (fma.f64 -1/3 (*.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/2) 2)) 5/27) (*.f64 (cbrt.f64 (pow.f64 x 7)) (/.f64 2/27 (pow.f64 (cbrt.f64 1/2) 2))))))) (*.f64 y (-.f64 (*.f64 y (fma.f64 (*.f64 (cbrt.f64 (/.f64 2 (cbrt.f64 1/2))) (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (*.f64 (pow.f64 (pow.f64 x 14) 1/18) -1/9))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)) (*.f64 (*.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (*.f64 1/9 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))))))) (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (*.f64 1/2 (cbrt.f64 1/2)))))))) |
(log.f64 2) |
(log.f64 2) |
(log.f64 2) |
(log.f64 2) |
(log.f64 2) |
Compiled 15216 to 10140 computations (33.4% saved)
19 alts after pruning (14 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 783 | 8 | 791 |
| Fresh | 2 | 6 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 5 | 7 |
| Total | 788 | 19 | 807 |
| Status | Error | Program |
|---|---|---|
| ✓ | 14.0b | (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
| ▶ | 61.8b | (*.f64 1/2 x) |
| ✓ | 61.9b | (*.f64 1/8 (*.f64 x x)) |
| ▶ | 30.6b | (log1p.f64 (exp.f64 x)) |
| 14.6b | (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3) 3) (log.f64 2)) | |
| 31.2b | (+.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 3) (log.f64 2)) | |
| 42.1b | (+.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 3)) 3) (log.f64 2)) | |
| ✓ | 32.6b | (*.f64 y (neg.f64 x)) |
| 31.6b | (exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))) | |
| ✓ | 31.2b | (+.f64 (*.f64 1/2 x) (log.f64 2)) |
| ✓ | 1.0b | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| 31.2b | (+.f64 (*.f64 1/2 x) (+.f64 (+.f64 0 (*.f64 x (*.f64 x 1/8))) (log.f64 2))) | |
| ▶ | 42.0b | (+.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 5/6) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)) (log.f64 2)) |
| 14.0b | (-.f64 (*.f64 3 (+.f64 (*.f64 1/6 x) (*.f64 1/3 (log.f64 2)))) (*.f64 x y)) | |
| ▶ | 7.1b | (-.f64 (log.f64 2) (*.f64 x y)) |
| 30.6b | (*.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x)))) | |
| ▶ | 7.6b | (-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y)) |
| 31.3b | (log.f64 2) | |
| 45.2b | (*.f64 (-.f64 1/2 y) x) |
Compiled 352 to 292 computations (17% 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 | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 (log.f64 2) (*.f64 x y)) |
| 0.0ms | x | @ | inf | (-.f64 (log.f64 2) (*.f64 x y)) |
| 0.0ms | y | @ | inf | (-.f64 (log.f64 2) (*.f64 x y)) |
| 0.0ms | x | @ | -inf | (-.f64 (log.f64 2) (*.f64 x y)) |
| 0.0ms | y | @ | -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)) |
Compiled 7 to 5 computations (28.6% 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 | |
|---|---|---|---|---|
| 0.0ms | 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 | y | @ | 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)) |
| 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) 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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 |
|---|---|---|
| 1.0b | (log1p.f64 (exp.f64 x)) |
Compiled 8 to 4 computations (50% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 5/6) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)) (log.f64 2)) |
| ✓ | 0.1b | (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 5/6) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)) |
| ✓ | 1.3b | (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6) |
| ✓ | 2.0b | (pow.f64 (*.f64 (-.f64 1/2 y) x) 5/6) |
Compiled 65 to 48 computations (26.2% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | x | @ | 0 | (pow.f64 (*.f64 (-.f64 1/2 y) x) 5/6) |
| 16.0ms | x | @ | -inf | (pow.f64 (*.f64 (-.f64 1/2 y) x) 5/6) |
| 8.0ms | x | @ | inf | (pow.f64 (*.f64 (-.f64 1/2 y) x) 5/6) |
| 3.0ms | y | @ | -inf | (pow.f64 (*.f64 (-.f64 1/2 y) x) 5/6) |
| 1.0ms | y | @ | 0 | (pow.f64 (*.f64 (-.f64 1/2 y) x) 5/6) |
| 1× | batch-egg-rewrite |
| 664× | log-prod_binary64 |
| 384× | fma-def_binary64 |
| 376× | pow2_binary64 |
| 253× | expm1-udef_binary64 |
| 252× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 39 |
| 1 | 322 | 37 |
| 2 | 3838 | 37 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (*.f64 (-.f64 1/2 y) x) 5/6) |
(pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6) |
(*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 5/6) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)) |
(+.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 5/6) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)) (log.f64 2)) |
| Outputs |
|---|
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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 (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 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (-.f64 1/2 y) 1/6) (*.f64 (pow.f64 x 1/6) (pow.f64 (*.f64 (-.f64 1/2 y) x) 5/6)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (-.f64 1/2 y) 5/6) (*.f64 (pow.f64 x 5/6) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/12) (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/12) (pow.f64 (*.f64 (-.f64 1/2 y) x) 5/6)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 5/12) (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 5/12) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1/2 y) (cbrt.f64 (*.f64 x x))) (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 fma.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 5/6) (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) (cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 5/6) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/12)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/12) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 5/6) (pow.f64 (-.f64 1/2 y) 1/6)) (pow.f64 x 1/6) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6) (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 5/6) 2))) (cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 5/6)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6) (pow.f64 (*.f64 (-.f64 1/2 y) x) 5/12)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 5/12) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6) (pow.f64 (-.f64 1/2 y) 5/6)) (pow.f64 x 5/6) (log.f64 2)))))) |
| 1× | egg-herbie |
| 624× | fma-def_binary64 |
| 509× | associate-*l/_binary64 |
| 348× | distribute-rgt-out_binary64 |
| 281× | distribute-lft-out_binary64 |
| 256× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 2148 |
| 1 | 439 | 1820 |
| 2 | 1263 | 1446 |
| 3 | 4216 | 1212 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6) |
(+.f64 (*.f64 -5/3 (*.f64 y (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6))) (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6)) |
(+.f64 (*.f64 -5/18 (*.f64 (pow.f64 y 2) (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6))) (+.f64 (*.f64 -5/3 (*.f64 y (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6))) (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6))) |
(+.f64 (*.f64 -5/18 (*.f64 (pow.f64 y 2) (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6))) (+.f64 (*.f64 -5/3 (*.f64 y (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6))) (+.f64 (*.f64 -35/162 (*.f64 (pow.f64 y 3) (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6))) (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6)))) |
(exp.f64 (*.f64 5/6 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) |
(+.f64 (exp.f64 (*.f64 5/6 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (*.f64 -5/12 (/.f64 (exp.f64 (*.f64 5/6 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) y))) |
(+.f64 (exp.f64 (*.f64 5/6 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (+.f64 (*.f64 -5/12 (/.f64 (exp.f64 (*.f64 5/6 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) y)) (*.f64 -5/288 (/.f64 (exp.f64 (*.f64 5/6 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (pow.f64 y 2))))) |
(+.f64 (exp.f64 (*.f64 5/6 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (+.f64 (*.f64 -5/12 (/.f64 (exp.f64 (*.f64 5/6 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) y)) (+.f64 (*.f64 -5/288 (/.f64 (exp.f64 (*.f64 5/6 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (pow.f64 y 2))) (*.f64 -35/10368 (/.f64 (exp.f64 (*.f64 5/6 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (pow.f64 y 3)))))) |
(exp.f64 (*.f64 5/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) |
(+.f64 (*.f64 -5/12 (/.f64 (exp.f64 (*.f64 5/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) y)) (exp.f64 (*.f64 5/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x))))) |
(+.f64 (*.f64 -5/12 (/.f64 (exp.f64 (*.f64 5/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) y)) (+.f64 (exp.f64 (*.f64 5/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) (*.f64 -5/288 (/.f64 (exp.f64 (*.f64 5/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) (pow.f64 y 2))))) |
(+.f64 (*.f64 -5/12 (/.f64 (exp.f64 (*.f64 5/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) y)) (+.f64 (*.f64 -35/10368 (/.f64 (exp.f64 (*.f64 5/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) (pow.f64 y 3))) (+.f64 (exp.f64 (*.f64 5/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) (*.f64 -5/288 (/.f64 (exp.f64 (*.f64 5/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) (pow.f64 y 2)))))) |
(exp.f64 (*.f64 5/6 (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x)))) |
(exp.f64 (*.f64 5/6 (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x)))) |
(exp.f64 (*.f64 5/6 (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x)))) |
(exp.f64 (*.f64 5/6 (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x)))) |
(exp.f64 (*.f64 5/6 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))))) |
(exp.f64 (*.f64 5/6 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))))) |
(exp.f64 (*.f64 5/6 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))))) |
(exp.f64 (*.f64 5/6 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))))) |
(exp.f64 (*.f64 5/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (-.f64 1/2 y)))))) |
(exp.f64 (*.f64 5/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (-.f64 1/2 y)))))) |
(exp.f64 (*.f64 5/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (-.f64 1/2 y)))))) |
(exp.f64 (*.f64 5/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (-.f64 1/2 y)))))) |
(pow.f64 (*.f64 1/2 x) 1/6) |
(+.f64 (*.f64 -1/3 (*.f64 y (pow.f64 (*.f64 x 1/2) 1/6))) (pow.f64 (*.f64 1/2 x) 1/6)) |
(+.f64 (*.f64 -1/3 (*.f64 y (pow.f64 (*.f64 x 1/2) 1/6))) (+.f64 (pow.f64 (*.f64 1/2 x) 1/6) (*.f64 -5/18 (*.f64 (pow.f64 y 2) (pow.f64 (*.f64 x 1/2) 1/6))))) |
(+.f64 (*.f64 -1/3 (*.f64 y (pow.f64 (*.f64 x 1/2) 1/6))) (+.f64 (pow.f64 (*.f64 1/2 x) 1/6) (+.f64 (*.f64 -55/162 (*.f64 (pow.f64 y 3) (pow.f64 (*.f64 x 1/2) 1/6))) (*.f64 -5/18 (*.f64 (pow.f64 y 2) (pow.f64 (*.f64 x 1/2) 1/6)))))) |
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) |
(+.f64 (*.f64 -1/12 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) y)) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))) |
(+.f64 (*.f64 -5/288 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (pow.f64 y 2))) (+.f64 (*.f64 -1/12 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) y)) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))))) |
(+.f64 (*.f64 -55/10368 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (pow.f64 y 3))) (+.f64 (*.f64 -5/288 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (pow.f64 y 2))) (+.f64 (*.f64 -1/12 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) y)) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))))) |
(exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) |
(+.f64 (*.f64 -1/12 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) y)) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x))))) |
(+.f64 (*.f64 -1/12 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) y)) (+.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) (*.f64 -5/288 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) (pow.f64 y 2))))) |
(+.f64 (*.f64 -55/10368 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) (pow.f64 y 3))) (+.f64 (*.f64 -1/12 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) y)) (+.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) (*.f64 -5/288 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) (pow.f64 y 2)))))) |
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x)))) |
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x)))) |
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x)))) |
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x)))) |
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))))) |
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))))) |
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))))) |
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))))) |
(exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (-.f64 1/2 y)))))) |
(exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (-.f64 1/2 y)))))) |
(exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (-.f64 1/2 y)))))) |
(exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (-.f64 1/2 y)))))) |
(*.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 1/2 y) x) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 (-.f64 1/2 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)))) |
(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 |
|---|
(pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6) |
(+.f64 (*.f64 -5/3 (*.f64 y (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6))) (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6)) |
(fma.f64 -5/3 (*.f64 (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6) y) (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6)) |
(*.f64 (+.f64 (*.f64 -5/3 y) 1) (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6)) |
(*.f64 (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6) (fma.f64 -5/3 y 1)) |
(+.f64 (*.f64 -5/18 (*.f64 (pow.f64 y 2) (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6))) (+.f64 (*.f64 -5/3 (*.f64 y (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6))) (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6))) |
(fma.f64 -5/18 (*.f64 (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6) (*.f64 y y)) (fma.f64 -5/3 (*.f64 (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6) y) (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6))) |
(+.f64 (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6) (*.f64 (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6) (+.f64 (*.f64 (*.f64 -5/18 y) y) (*.f64 -5/3 y)))) |
(*.f64 (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6) (+.f64 (fma.f64 -5/3 y 1) (*.f64 y (*.f64 y -5/18)))) |
(*.f64 (+.f64 (*.f64 y (+.f64 -5/3 (*.f64 y -5/18))) 1) (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6)) |
(+.f64 (*.f64 -5/18 (*.f64 (pow.f64 y 2) (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6))) (+.f64 (*.f64 -5/3 (*.f64 y (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6))) (+.f64 (*.f64 -35/162 (*.f64 (pow.f64 y 3) (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6))) (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6)))) |
(fma.f64 -5/18 (*.f64 (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6) (*.f64 y y)) (fma.f64 -5/3 (*.f64 (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6) y) (fma.f64 -35/162 (*.f64 (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6) (pow.f64 y 3)) (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6)))) |
(+.f64 (*.f64 (+.f64 (*.f64 -35/162 (pow.f64 y 3)) 1) (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6)) (*.f64 (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6) (+.f64 (*.f64 (*.f64 -5/18 y) y) (*.f64 -5/3 y)))) |
(fma.f64 (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6) (*.f64 y (+.f64 (*.f64 y -5/18) -5/3)) (*.f64 (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6) (fma.f64 -35/162 (pow.f64 y 3) 1))) |
(*.f64 (pow.f64 (*.f64 1/32 (pow.f64 x 5)) 1/6) (+.f64 (fma.f64 -35/162 (pow.f64 y 3) 1) (*.f64 y (+.f64 -5/3 (*.f64 y -5/18))))) |
(exp.f64 (*.f64 5/6 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) |
(pow.f64 (exp.f64 5/6) (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) |
(pow.f64 (exp.f64 5/6) (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))) |
(*.f64 (pow.f64 y 5/6) (pow.f64 (neg.f64 x) 5/6)) |
(pow.f64 (*.f64 y (neg.f64 x)) 5/6) |
(+.f64 (exp.f64 (*.f64 5/6 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (*.f64 -5/12 (/.f64 (exp.f64 (*.f64 5/6 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) y))) |
(+.f64 (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) (*.f64 -5/12 (/.f64 (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) y))) |
(fma.f64 -5/12 (/.f64 (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))) y) (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 (neg.f64 x)) (log.f64 y)))) |
(fma.f64 -5/12 (/.f64 (pow.f64 (neg.f64 x) 5/6) (/.f64 y (pow.f64 y 5/6))) (*.f64 (pow.f64 y 5/6) (pow.f64 (neg.f64 x) 5/6))) |
(*.f64 (+.f64 (/.f64 -5/12 y) 1) (pow.f64 (*.f64 y (neg.f64 x)) 5/6)) |
(+.f64 (exp.f64 (*.f64 5/6 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (+.f64 (*.f64 -5/12 (/.f64 (exp.f64 (*.f64 5/6 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) y)) (*.f64 -5/288 (/.f64 (exp.f64 (*.f64 5/6 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (pow.f64 y 2))))) |
(+.f64 (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) (fma.f64 -5/12 (/.f64 (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) y) (*.f64 -5/288 (/.f64 (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) (*.f64 y y))))) |
(+.f64 (fma.f64 -5/12 (/.f64 (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))) y) (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 (neg.f64 x)) (log.f64 y)))) (*.f64 (/.f64 -5/288 y) (/.f64 (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))) y))) |
(fma.f64 (pow.f64 (neg.f64 x) 5/6) (pow.f64 y 5/6) (*.f64 (/.f64 (pow.f64 (neg.f64 x) 5/6) (/.f64 y (pow.f64 y 5/6))) (+.f64 (/.f64 -5/288 y) -5/12))) |
(+.f64 (pow.f64 (*.f64 y (neg.f64 x)) 5/6) (*.f64 (/.f64 (pow.f64 (*.f64 y (neg.f64 x)) 5/6) y) (+.f64 (/.f64 -5/288 y) -5/12))) |
(+.f64 (exp.f64 (*.f64 5/6 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (+.f64 (*.f64 -5/12 (/.f64 (exp.f64 (*.f64 5/6 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) y)) (+.f64 (*.f64 -5/288 (/.f64 (exp.f64 (*.f64 5/6 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (pow.f64 y 2))) (*.f64 -35/10368 (/.f64 (exp.f64 (*.f64 5/6 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (pow.f64 y 3)))))) |
(+.f64 (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) (fma.f64 -5/12 (/.f64 (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) y) (fma.f64 -5/288 (/.f64 (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) (*.f64 y y)) (*.f64 -35/10368 (/.f64 (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) (pow.f64 y 3)))))) |
(+.f64 (fma.f64 -5/12 (/.f64 (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))) y) (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 (neg.f64 x)) (log.f64 y)))) (fma.f64 -5/288 (/.f64 (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))) (*.f64 y y)) (*.f64 -35/10368 (/.f64 (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))) (pow.f64 y 3))))) |
(fma.f64 -5/12 (/.f64 (pow.f64 (neg.f64 x) 5/6) (/.f64 y (pow.f64 y 5/6))) (fma.f64 (pow.f64 (neg.f64 x) 5/6) (pow.f64 y 5/6) (*.f64 (*.f64 (/.f64 (pow.f64 (neg.f64 x) 5/6) y) (/.f64 (pow.f64 y 5/6) y)) (+.f64 -5/288 (/.f64 -35/10368 y))))) |
(+.f64 (pow.f64 (*.f64 y (neg.f64 x)) 5/6) (*.f64 (/.f64 (pow.f64 (*.f64 y (neg.f64 x)) 5/6) y) (+.f64 (/.f64 -5/288 y) (+.f64 (/.f64 -35/10368 (*.f64 y y)) -5/12)))) |
(exp.f64 (*.f64 5/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) |
(pow.f64 (exp.f64 5/6) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 x))) |
(pow.f64 (exp.f64 5/6) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) |
(*.f64 (pow.f64 (/.f64 -1 y) -5/6) (pow.f64 x 5/6)) |
(pow.f64 (/.f64 x (/.f64 -1 y)) 5/6) |
(+.f64 (*.f64 -5/12 (/.f64 (exp.f64 (*.f64 5/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) y)) (exp.f64 (*.f64 5/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x))))) |
(fma.f64 -5/12 (/.f64 (pow.f64 (exp.f64 5/6) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 x))) y) (pow.f64 (exp.f64 5/6) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 x)))) |
(fma.f64 -5/12 (/.f64 (pow.f64 (exp.f64 5/6) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) y) (pow.f64 (exp.f64 5/6) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) |
(fma.f64 -5/12 (/.f64 (*.f64 (pow.f64 (/.f64 -1 y) -5/6) (pow.f64 x 5/6)) y) (*.f64 (pow.f64 (/.f64 -1 y) -5/6) (pow.f64 x 5/6))) |
(*.f64 (+.f64 (/.f64 -5/12 y) 1) (pow.f64 (/.f64 x (/.f64 -1 y)) 5/6)) |
(+.f64 (*.f64 -5/12 (/.f64 (exp.f64 (*.f64 5/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) y)) (+.f64 (exp.f64 (*.f64 5/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) (*.f64 -5/288 (/.f64 (exp.f64 (*.f64 5/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) (pow.f64 y 2))))) |
(+.f64 (fma.f64 -5/12 (/.f64 (pow.f64 (exp.f64 5/6) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 x))) y) (pow.f64 (exp.f64 5/6) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 x)))) (*.f64 -5/288 (/.f64 (pow.f64 (exp.f64 5/6) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 x))) (*.f64 y y)))) |
(fma.f64 -5/12 (/.f64 (pow.f64 (exp.f64 5/6) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) y) (fma.f64 -5/288 (/.f64 (pow.f64 (exp.f64 5/6) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) (*.f64 y y)) (pow.f64 (exp.f64 5/6) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))))) |
(fma.f64 (pow.f64 (/.f64 -1 y) -5/6) (pow.f64 x 5/6) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 y) -5/6) (pow.f64 x 5/6)) y) (+.f64 (/.f64 -5/288 y) -5/12))) |
(+.f64 (pow.f64 (/.f64 x (/.f64 -1 y)) 5/6) (*.f64 (/.f64 (pow.f64 (/.f64 x (/.f64 -1 y)) 5/6) y) (+.f64 (/.f64 -5/288 y) -5/12))) |
(+.f64 (*.f64 -5/12 (/.f64 (exp.f64 (*.f64 5/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) y)) (+.f64 (*.f64 -35/10368 (/.f64 (exp.f64 (*.f64 5/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) (pow.f64 y 3))) (+.f64 (exp.f64 (*.f64 5/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) (*.f64 -5/288 (/.f64 (exp.f64 (*.f64 5/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) (pow.f64 y 2)))))) |
(fma.f64 -5/12 (/.f64 (pow.f64 (exp.f64 5/6) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 x))) y) (fma.f64 -35/10368 (/.f64 (pow.f64 (exp.f64 5/6) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 x))) (pow.f64 y 3)) (+.f64 (pow.f64 (exp.f64 5/6) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 x))) (*.f64 -5/288 (/.f64 (pow.f64 (exp.f64 5/6) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 x))) (*.f64 y y)))))) |
(fma.f64 -5/12 (/.f64 (pow.f64 (exp.f64 5/6) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) y) (fma.f64 -35/10368 (/.f64 (pow.f64 (exp.f64 5/6) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) (pow.f64 y 3)) (fma.f64 -5/288 (/.f64 (pow.f64 (exp.f64 5/6) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) (*.f64 y y)) (pow.f64 (exp.f64 5/6) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))))) |
(fma.f64 -5/12 (/.f64 (*.f64 (pow.f64 (/.f64 -1 y) -5/6) (pow.f64 x 5/6)) y) (fma.f64 (pow.f64 (/.f64 -1 y) -5/6) (pow.f64 x 5/6) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 y) -5/6) (pow.f64 x 5/6)) (*.f64 y y)) (+.f64 -5/288 (/.f64 -35/10368 y))))) |
(+.f64 (pow.f64 (/.f64 x (/.f64 -1 y)) 5/6) (*.f64 (/.f64 (pow.f64 (/.f64 x (/.f64 -1 y)) 5/6) y) (+.f64 -5/12 (+.f64 (/.f64 -5/288 y) (/.f64 -35/10368 (*.f64 y y)))))) |
(exp.f64 (*.f64 5/6 (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x)))) |
(pow.f64 (exp.f64 5/6) (+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))) |
(*.f64 (pow.f64 x 5/6) (pow.f64 (-.f64 1/2 y) 5/6)) |
(pow.f64 (*.f64 x (-.f64 1/2 y)) 5/6) |
(exp.f64 (*.f64 5/6 (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x)))) |
(pow.f64 (exp.f64 5/6) (+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))) |
(*.f64 (pow.f64 x 5/6) (pow.f64 (-.f64 1/2 y) 5/6)) |
(pow.f64 (*.f64 x (-.f64 1/2 y)) 5/6) |
(exp.f64 (*.f64 5/6 (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x)))) |
(pow.f64 (exp.f64 5/6) (+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))) |
(*.f64 (pow.f64 x 5/6) (pow.f64 (-.f64 1/2 y) 5/6)) |
(pow.f64 (*.f64 x (-.f64 1/2 y)) 5/6) |
(exp.f64 (*.f64 5/6 (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x)))) |
(pow.f64 (exp.f64 5/6) (+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))) |
(*.f64 (pow.f64 x 5/6) (pow.f64 (-.f64 1/2 y) 5/6)) |
(pow.f64 (*.f64 x (-.f64 1/2 y)) 5/6) |
(exp.f64 (*.f64 5/6 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))))) |
(pow.f64 (exp.f64 5/6) (+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))) |
(*.f64 (pow.f64 x 5/6) (pow.f64 (-.f64 1/2 y) 5/6)) |
(pow.f64 (*.f64 x (-.f64 1/2 y)) 5/6) |
(exp.f64 (*.f64 5/6 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))))) |
(pow.f64 (exp.f64 5/6) (+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))) |
(*.f64 (pow.f64 x 5/6) (pow.f64 (-.f64 1/2 y) 5/6)) |
(pow.f64 (*.f64 x (-.f64 1/2 y)) 5/6) |
(exp.f64 (*.f64 5/6 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))))) |
(pow.f64 (exp.f64 5/6) (+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))) |
(*.f64 (pow.f64 x 5/6) (pow.f64 (-.f64 1/2 y) 5/6)) |
(pow.f64 (*.f64 x (-.f64 1/2 y)) 5/6) |
(exp.f64 (*.f64 5/6 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))))) |
(pow.f64 (exp.f64 5/6) (+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))) |
(*.f64 (pow.f64 x 5/6) (pow.f64 (-.f64 1/2 y) 5/6)) |
(pow.f64 (*.f64 x (-.f64 1/2 y)) 5/6) |
(exp.f64 (*.f64 5/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (-.f64 1/2 y)))))) |
(pow.f64 (exp.f64 5/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (-.f64 1/2 y))))) |
(pow.f64 (exp.f64 5/6) (-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x)))) |
(*.f64 (pow.f64 (/.f64 -1 x) -5/6) (pow.f64 (+.f64 y -1/2) 5/6)) |
(pow.f64 (/.f64 (+.f64 y -1/2) (/.f64 -1 x)) 5/6) |
(exp.f64 (*.f64 5/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (-.f64 1/2 y)))))) |
(pow.f64 (exp.f64 5/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (-.f64 1/2 y))))) |
(pow.f64 (exp.f64 5/6) (-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x)))) |
(*.f64 (pow.f64 (/.f64 -1 x) -5/6) (pow.f64 (+.f64 y -1/2) 5/6)) |
(pow.f64 (/.f64 (+.f64 y -1/2) (/.f64 -1 x)) 5/6) |
(exp.f64 (*.f64 5/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (-.f64 1/2 y)))))) |
(pow.f64 (exp.f64 5/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (-.f64 1/2 y))))) |
(pow.f64 (exp.f64 5/6) (-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x)))) |
(*.f64 (pow.f64 (/.f64 -1 x) -5/6) (pow.f64 (+.f64 y -1/2) 5/6)) |
(pow.f64 (/.f64 (+.f64 y -1/2) (/.f64 -1 x)) 5/6) |
(exp.f64 (*.f64 5/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (-.f64 1/2 y)))))) |
(pow.f64 (exp.f64 5/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (-.f64 1/2 y))))) |
(pow.f64 (exp.f64 5/6) (-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x)))) |
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(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 1/2 x (neg.f64 (*.f64 x y))) |
(*.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 1/2 y)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x 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 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 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 1/2 y)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x 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 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 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 1/2 y)) |
(*.f64 (-.f64 1/2 y) x) |
(fma.f64 1/2 x (neg.f64 (*.f64 x y))) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 (-.f64 1/2 y) x) |
(fma.f64 1/2 x (neg.f64 (*.f64 x y))) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 (-.f64 1/2 y) x) |
(fma.f64 1/2 x (neg.f64 (*.f64 x y))) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 (-.f64 1/2 y) x) |
(fma.f64 1/2 x (neg.f64 (*.f64 x y))) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 (-.f64 1/2 y) x) |
(fma.f64 1/2 x (neg.f64 (*.f64 x y))) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 (-.f64 1/2 y) x) |
(fma.f64 1/2 x (neg.f64 (*.f64 x y))) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 (-.f64 1/2 y) x) |
(fma.f64 1/2 x (neg.f64 (*.f64 x y))) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 (-.f64 1/2 y) x) |
(fma.f64 1/2 x (neg.f64 (*.f64 x y))) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 (-.f64 1/2 y) x) |
(fma.f64 1/2 x (neg.f64 (*.f64 x y))) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 (-.f64 1/2 y) x) |
(fma.f64 1/2 x (neg.f64 (*.f64 x y))) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 (-.f64 1/2 y) x) |
(fma.f64 1/2 x (neg.f64 (*.f64 x y))) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 (-.f64 1/2 y) x) |
(fma.f64 1/2 x (neg.f64 (*.f64 x y))) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(fma.f64 1/2 x (log.f64 2)) |
(fma.f64 x 1/2 (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 y (neg.f64 x)) |
(+.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 y (neg.f64 x)) |
(+.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) |
(fma.f64 1/2 x (neg.f64 (*.f64 x y))) |
(*.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) |
(fma.f64 1/2 x (neg.f64 (*.f64 x y))) |
(*.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 9207 to 6735 computations (26.8% saved)
20 alts after pruning (11 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 515 | 3 | 518 |
| Fresh | 1 | 8 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 9 | 9 |
| Total | 517 | 20 | 537 |
| Status | Error | Program |
|---|---|---|
| 52.9b | (+.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 5/6) (pow.f64 (*.f64 x 1/2) 1/6)) (log.f64 2)) | |
| ✓ | 14.0b | (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
| ✓ | 61.8b | (*.f64 1/2 x) |
| ✓ | 61.9b | (*.f64 1/8 (*.f64 x x)) |
| ✓ | 30.6b | (log1p.f64 (exp.f64 x)) |
| 14.6b | (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3) 3) (log.f64 2)) | |
| 31.2b | (+.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 3) (log.f64 2)) | |
| 42.1b | (+.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 3)) 3) (log.f64 2)) | |
| ✓ | 32.6b | (*.f64 y (neg.f64 x)) |
| 31.6b | (exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))) | |
| ✓ | 31.2b | (+.f64 (*.f64 1/2 x) (log.f64 2)) |
| ✓ | 1.0b | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| 42.1b | (+.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 5/6) (sqrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) (log.f64 2)) | |
| 45.2b | (*.f64 (-.f64 1/2 y) x) | |
| 31.2b | (+.f64 (*.f64 1/2 x) (+.f64 (+.f64 0 (*.f64 x (*.f64 x 1/8))) (log.f64 2))) | |
| 14.0b | (-.f64 (*.f64 3 (+.f64 (*.f64 1/6 x) (*.f64 1/3 (log.f64 2)))) (*.f64 x y)) | |
| ✓ | 7.1b | (-.f64 (log.f64 2) (*.f64 x y)) |
| 30.6b | (*.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x)))) | |
| 31.3b | (log.f64 2) | |
| ✓ | 7.6b | (-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y)) |
Compiled 214 to 176 computations (17.8% saved)
| Inputs |
|---|
(*.f64 1/2 x) |
(*.f64 y (neg.f64 x)) |
(*.f64 1/8 (*.f64 x x)) |
(*.f64 (-.f64 1/2 y) x) |
(log.f64 2) |
(log.f64 2) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(-.f64 (log.f64 2) (*.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 1/2 x) (+.f64 (+.f64 0 (*.f64 x (*.f64 x 1/8))) (log.f64 2))) |
(-.f64 (*.f64 3 (+.f64 (*.f64 1/6 x) (*.f64 1/3 (log.f64 2)))) (*.f64 x y)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (+.f64 0 (*.f64 x (*.f64 x 1/8))) (log.f64 2))) |
(log1p.f64 (exp.f64 x)) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(*.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x)))) |
(-.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 (*.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x)))) (*.f64 x y)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2))) |
(+.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 3) (log.f64 2)) |
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3) (log.f64 2)) |
(+.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 5/6) (pow.f64 (*.f64 x 1/2) 1/6)) (log.f64 2)) |
(+.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 5/6) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)) (log.f64 2)) |
(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))) |
(exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) |
(+.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 5/6) (sqrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) (log.f64 2)) |
(+.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3) 3) (log.f64 2)) |
(+.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 3)) 3) (log.f64 2)) |
(*.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)))) |
| Outputs |
|---|
(-.f64 (*.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x)))) (*.f64 x y)) |
4 calls:
| 31.0ms | x |
| 30.0ms | y |
| 20.0ms | (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
| 20.0ms | (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
| Error | Segments | Branch |
|---|---|---|
| 1.0b | 1 | x |
| 1.0b | 1 | y |
| 1.0b | 1 | (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
| 1.0b | 1 | (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
Compiled 332 to 241 computations (27.4% saved)
| Inputs |
|---|
(*.f64 1/2 x) |
(*.f64 y (neg.f64 x)) |
(*.f64 1/8 (*.f64 x x)) |
(*.f64 (-.f64 1/2 y) x) |
(log.f64 2) |
(log.f64 2) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(-.f64 (log.f64 2) (*.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 1/2 x) (+.f64 (+.f64 0 (*.f64 x (*.f64 x 1/8))) (log.f64 2))) |
(-.f64 (*.f64 3 (+.f64 (*.f64 1/6 x) (*.f64 1/3 (log.f64 2)))) (*.f64 x y)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (+.f64 0 (*.f64 x (*.f64 x 1/8))) (log.f64 2))) |
(log1p.f64 (exp.f64 x)) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(*.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x)))) |
(-.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)) |
| Outputs |
|---|
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
4 calls:
| 21.0ms | x |
| 15.0ms | y |
| 15.0ms | (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
| 12.0ms | (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
| Error | Segments | Branch |
|---|---|---|
| 1.0b | 1 | x |
| 1.0b | 1 | y |
| 1.0b | 1 | (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
| 1.0b | 1 | (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
Compiled 167 to 110 computations (34.1% saved)
| Inputs |
|---|
(*.f64 1/2 x) |
(*.f64 y (neg.f64 x)) |
(*.f64 1/8 (*.f64 x x)) |
(*.f64 (-.f64 1/2 y) x) |
(log.f64 2) |
(log.f64 2) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(-.f64 (log.f64 2) (*.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 1/2 x) (+.f64 (+.f64 0 (*.f64 x (*.f64 x 1/8))) (log.f64 2))) |
(-.f64 (*.f64 3 (+.f64 (*.f64 1/6 x) (*.f64 1/3 (log.f64 2)))) (*.f64 x y)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (+.f64 0 (*.f64 x (*.f64 x 1/8))) (log.f64 2))) |
(log1p.f64 (exp.f64 x)) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(*.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x)))) |
| Outputs |
|---|
(*.f64 y (neg.f64 x)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (+.f64 0 (*.f64 x (*.f64 x 1/8))) (log.f64 2))) |
2 calls:
| 35.0ms | x |
| 21.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 1.0b | 2 | x |
| 7.1b | 1 | y |
Compiled 118 to 84 computations (28.8% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 115.0ms | -33469073.123140775 | -29.22301698801526 |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
(*.f64 1/2 x) |
(*.f64 y (neg.f64 x)) |
(*.f64 1/8 (*.f64 x x)) |
(*.f64 (-.f64 1/2 y) x) |
(log.f64 2) |
(log.f64 2) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(-.f64 (log.f64 2) (*.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 1/2 x) (+.f64 (+.f64 0 (*.f64 x (*.f64 x 1/8))) (log.f64 2))) |
(-.f64 (*.f64 3 (+.f64 (*.f64 1/6 x) (*.f64 1/3 (log.f64 2)))) (*.f64 x y)) |
| Outputs |
|---|
(*.f64 y (neg.f64 x)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
2 calls:
| 16.0ms | x |
| 9.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 1.1b | 2 | x |
| 7.1b | 1 | y |
Compiled 87 to 63 computations (27.6% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 26.0ms | -23.651518829085763 | -0.0004847515186553019 |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
(*.f64 1/2 x) |
(*.f64 y (neg.f64 x)) |
(*.f64 1/8 (*.f64 x x)) |
(*.f64 (-.f64 1/2 y) x) |
(log.f64 2) |
(log.f64 2) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 x y)) |
| Outputs |
|---|
(*.f64 y (neg.f64 x)) |
(-.f64 (log.f64 2) (*.f64 x y)) |
2 calls:
| 13.0ms | x |
| 6.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 1.5b | 2 | x |
| 7.1b | 1 | y |
Compiled 41 to 29 computations (29.3% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 72.0ms | -33469073.123140775 | -29.22301698801526 |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
(*.f64 1/2 x) |
(*.f64 y (neg.f64 x)) |
(*.f64 1/8 (*.f64 x x)) |
(*.f64 (-.f64 1/2 y) x) |
(log.f64 2) |
(log.f64 2) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
| Outputs |
|---|
(*.f64 y (neg.f64 x)) |
(log.f64 2) |
(*.f64 y (neg.f64 x)) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
2 calls:
| 43.0ms | y |
| 22.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 12.7b | 4 | x |
| 19.8b | 7 | y |
Compiled 35 to 25 computations (28.6% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 2.0469331298371648e-156 | 7.36969757990192e-154 |
| 25.0ms | 5.1792799326932635e-182 | 3.649979139023651e-180 |
| 26.0ms | -3.479592558766287e-25 | -3.5386832422063074e-27 |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
(*.f64 1/2 x) |
(*.f64 y (neg.f64 x)) |
(*.f64 1/8 (*.f64 x x)) |
(*.f64 (-.f64 1/2 y) x) |
(log.f64 2) |
(log.f64 2) |
| Outputs |
|---|
(*.f64 y (neg.f64 x)) |
(log.f64 2) |
(*.f64 y (neg.f64 x)) |
(log.f64 2) |
(*.f64 (-.f64 1/2 y) x) |
2 calls:
| 32.0ms | y |
| 27.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 11.9b | 5 | x |
| 21.2b | 5 | y |
Compiled 29 to 20 computations (31% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 1.7496858793917048e-40 | 2.604797267488204e-39 |
| 24.0ms | 2.0469331298371648e-156 | 7.36969757990192e-154 |
| 25.0ms | 5.1792799326932635e-182 | 3.649979139023651e-180 |
| 27.0ms | -3.479592558766287e-25 | -3.5386832422063074e-27 |
Compiled 16 to 12 computations (25% saved)
Total -30.1b remaining (-92.5%)
Threshold costs -30.1b (-92.5%)
| Inputs |
|---|
(*.f64 1/2 x) |
(*.f64 y (neg.f64 x)) |
(*.f64 1/8 (*.f64 x x)) |
(*.f64 (-.f64 1/2 y) x) |
| Outputs |
|---|
(*.f64 y (neg.f64 x)) |
2 calls:
| 5.0ms | x |
| 5.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 32.6b | 1 | x |
| 32.6b | 1 | y |
Compiled 25 to 16 computations (36% saved)
| 1× | egg-herbie |
| 12× | +-commutative_binary64 |
| 11× | *-commutative_binary64 |
| 7× | sub-neg_binary64 |
| 6× | cancel-sign-sub-inv_binary64 |
| 3× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 207 |
| 1 | 83 | 207 |
| 2 | 98 | 207 |
| 3 | 103 | 207 |
| 4 | 105 | 207 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (*.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x)))) (*.f64 x y)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(if (<=.f64 x -143748574491322208/4294967296) (*.f64 y (neg.f64 x)) (+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (+.f64 0 (*.f64 x (*.f64 x 1/8))) (log.f64 2)))) |
(if (<=.f64 x -6657310711588557/281474976710656) (*.f64 y (neg.f64 x)) (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))) |
(if (<=.f64 x -143748574491322208/4294967296) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (*.f64 x y))) |
(if (<=.f64 x -1894470386907963/5444517870735015415413993718908291383296) (*.f64 y (neg.f64 x)) (if (<=.f64 x 7743129889982151/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968) (log.f64 2) (if (<=.f64 x 506268792791224384/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (*.f64 y (neg.f64 x)) (+.f64 (*.f64 1/2 x) (log.f64 2))))) |
(if (<=.f64 x -1894470386907963/5444517870735015415413993718908291383296) (*.f64 y (neg.f64 x)) (if (<=.f64 x 7743129889982151/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968) (log.f64 2) (if (<=.f64 x 506268792791224384/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (*.f64 y (neg.f64 x)) (if (<=.f64 x 1098295626991124096/6277101735386680763835789423207666416102355444464034512896) (log.f64 2) (*.f64 (-.f64 1/2 y) x))))) |
(*.f64 y (neg.f64 x)) |
(*.f64 1/2 x) |
| Outputs |
|---|
(-.f64 (*.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x)))) (*.f64 x y)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(if (<=.f64 x -143748574491322208/4294967296) (*.f64 y (neg.f64 x)) (+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (+.f64 0 (*.f64 x (*.f64 x 1/8))) (log.f64 2)))) |
(if (<=.f64 x -4492142952853819/134217728) (*.f64 y (neg.f64 x)) (+.f64 (*.f64 x (-.f64 1/2 y)) (+.f64 (*.f64 x (*.f64 x 1/8)) (log.f64 2)))) |
(if (<=.f64 x -4492142952853819/134217728) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 x (-.f64 1/2 y)) (+.f64 (*.f64 x (*.f64 x 1/8)) (log.f64 2)))) |
(if (<=.f64 x -6657310711588557/281474976710656) (*.f64 y (neg.f64 x)) (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))) |
(if (<=.f64 x -6657310711588557/281474976710656) (*.f64 y (neg.f64 x)) (+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))) |
(if (<=.f64 x -6657310711588557/281474976710656) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))) |
(if (<=.f64 x -143748574491322208/4294967296) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (*.f64 x y))) |
(if (<=.f64 x -4492142952853819/134217728) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (*.f64 x y))) |
(if (<=.f64 x -4492142952853819/134217728) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y))) |
(if (<=.f64 x -1894470386907963/5444517870735015415413993718908291383296) (*.f64 y (neg.f64 x)) (if (<=.f64 x 7743129889982151/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968) (log.f64 2) (if (<=.f64 x 506268792791224384/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (*.f64 y (neg.f64 x)) (+.f64 (*.f64 1/2 x) (log.f64 2))))) |
(if (<=.f64 x -1894470386907963/5444517870735015415413993718908291383296) (*.f64 y (neg.f64 x)) (if (<=.f64 x 7743129889982151/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968) (log.f64 2) (if (<=.f64 x 7910449887362881/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 x 1/2))))) |
(if (<=.f64 x -1894470386907963/5444517870735015415413993718908291383296) (*.f64 x (neg.f64 y)) (if (<=.f64 x 7743129889982151/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968) (log.f64 2) (if (<=.f64 x 7910449887362881/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x 1/2))))) |
(if (<=.f64 x -1894470386907963/5444517870735015415413993718908291383296) (*.f64 y (neg.f64 x)) (if (<=.f64 x 7743129889982151/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968) (log.f64 2) (if (<=.f64 x 506268792791224384/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (*.f64 y (neg.f64 x)) (if (<=.f64 x 1098295626991124096/6277101735386680763835789423207666416102355444464034512896) (log.f64 2) (*.f64 (-.f64 1/2 y) x))))) |
(if (<=.f64 x -1894470386907963/5444517870735015415413993718908291383296) (*.f64 y (neg.f64 x)) (if (<=.f64 x 7743129889982151/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968) (log.f64 2) (if (<=.f64 x 7910449887362881/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424) (*.f64 y (neg.f64 x)) (if (<=.f64 x 8580434585868157/49039857307708443467467104868809893875799651909875269632) (log.f64 2) (*.f64 x (-.f64 1/2 y)))))) |
(if (<=.f64 x -1894470386907963/5444517870735015415413993718908291383296) (*.f64 x (neg.f64 y)) (if (<=.f64 x 7743129889982151/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968) (log.f64 2) (if (<=.f64 x 7910449887362881/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424) (*.f64 x (neg.f64 y)) (if (<=.f64 x 8580434585868157/49039857307708443467467104868809893875799651909875269632) (log.f64 2) (*.f64 x (-.f64 1/2 y)))))) |
(*.f64 y (neg.f64 x)) |
(*.f64 x (neg.f64 y)) |
(*.f64 1/2 x) |
(*.f64 x 1/2) |
Compiled 156 to 108 computations (30.8% saved)
| 1× | egg-herbie |
| 627× | fma-neg_binary64 |
| 570× | associate-*l*_binary64 |
| 536× | 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 | 323 |
| 1 | 86 | 293 |
| 2 | 182 | 293 |
| 3 | 433 | 281 |
| 4 | 1391 | 281 |
| 5 | 3821 | 281 |
| 1× | node limit |
Compiled 19 to 13 computations (31.6% saved)
Compiled 140 to 78 computations (44.3% saved)
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