Time bar (total: 3.9s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 0% | 75% | 25% | 3 |
| 25% | 37.5% | 37.5% | 4 |
| 37.5% | 18.7% | 43.8% | 5 |
| 43.7% | 9.4% | 46.9% | 6 |
| 46.9% | 4.7% | 48.5% | 7 |
| 48.4% | 2.3% | 49.2% | 8 |
| 49.2% | 1.2% | 49.6% | 9 |
| 49.6% | 0.6% | 49.8% | 10 |
| 49.8% | 0.3% | 49.9% | 11 |
| 49.9% | 0.1% | 50% | 12 |
Compiled 13 to 11 computations (15.4% saved)
| 1.3s | 8256× | body | 256 | valid |
| 1.0ms | 11× | body | 256 | invalid |
| 2× | egg-herbie |
| 396× | fma-neg_binary64 |
| 375× | fma-def_binary64 |
| 264× | div-sub_binary64 |
| 121× | times-frac_binary64 |
| 100× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 17 |
| 1 | 19 | 17 |
| 2 | 25 | 17 |
| 3 | 35 | 17 |
| 4 | 58 | 17 |
| 5 | 82 | 17 |
| 6 | 119 | 17 |
| 7 | 191 | 17 |
| 8 | 357 | 17 |
| 9 | 584 | 17 |
| 10 | 796 | 17 |
| 11 | 1157 | 17 |
| 12 | 1548 | 17 |
| 13 | 1958 | 17 |
| 14 | 2199 | 17 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
Compiled 13 to 11 computations (15.4% saved)
| 1× | egg-herbie |
| 396× | fma-neg_binary64 |
| 375× | fma-def_binary64 |
| 264× | div-sub_binary64 |
| 121× | times-frac_binary64 |
| 100× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 17 |
| 1 | 19 | 17 |
| 2 | 25 | 17 |
| 3 | 35 | 17 |
| 4 | 58 | 17 |
| 5 | 82 | 17 |
| 6 | 119 | 17 |
| 7 | 191 | 17 |
| 8 | 357 | 17 |
| 9 | 584 | 17 |
| 10 | 796 | 17 |
| 11 | 1157 | 17 |
| 12 | 1548 | 17 |
| 13 | 1958 | 17 |
| 14 | 2199 | 17 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
Compiled 23 to 19 computations (17.4% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
Compiled 12 to 10 computations (16.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))) |
| ✓ | 0.0b | (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) |
| ✓ | 0.0b | (/.f64 (-.f64 1 x) (-.f64 x -1)) |
Compiled 46 to 35 computations (23.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))) |
| 1.0ms | x | @ | inf | (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 1 x) (-.f64 x -1)) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 1 x) (-.f64 x -1)) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 1 x) (-.f64 x -1)) |
| 1× | batch-egg-rewrite |
| 434× | log-prod_binary64 |
| 332× | exp-prod_binary64 |
| 331× | prod-diff_binary64 |
| 259× | pow-prod-down_binary64 |
| 241× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 36 |
| 1 | 196 | 36 |
| 2 | 2644 | 36 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 x) (-.f64 x -1)) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) |
(sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))) |
| Outputs |
|---|
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pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 2)) (cbrt.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))) (sqrt.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1) 1)))))) |
| 1× | egg-herbie |
| 559× | associate-/l/_binary64 |
| 529× | associate-*l/_binary64 |
| 397× | associate-*r/_binary64 |
| 271× | fma-def_binary64 |
| 265× | cancel-sign-sub-inv_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 626 |
| 1 | 244 | 602 |
| 2 | 760 | 510 |
| 3 | 3210 | 489 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -2 x)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(sqrt.f64 -1) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))) |
(sqrt.f64 -1) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -2 x)) |
(fma.f64 -2 x 1) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x))) |
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 -2 x))) |
(fma.f64 2 (*.f64 x x) (fma.f64 -2 x 1)) |
(fma.f64 -2 x (fma.f64 2 (*.f64 x x) 1)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))))) |
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 -2 (+.f64 x (pow.f64 x 3))))) |
(fma.f64 2 (*.f64 x x) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) 1)) |
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (fma.f64 2 (*.f64 x x) 1)) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(+.f64 (/.f64 2 x) -1) |
(+.f64 -1 (/.f64 2 x)) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x)))) |
(+.f64 -1 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x))))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))) |
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x)))) -1) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(+.f64 (/.f64 2 x) -1) |
(+.f64 -1 (/.f64 2 x)) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x)))) |
(+.f64 -1 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x))))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))) |
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x)))) -1) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
1 |
(+.f64 1 (*.f64 -1 x)) |
(-.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x)) |
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(+.f64 1 (fma.f64 (pow.f64 x 3) -1/2 (-.f64 (*.f64 x (*.f64 x 1/2)) x))) |
(fma.f64 (pow.f64 x 3) -1/2 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) |
(fma.f64 (*.f64 x x) (-.f64 1/2 (*.f64 x 1/2)) (-.f64 1 x)) |
(sqrt.f64 -1) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) |
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) |
(+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))) |
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1))) (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1)))) |
(+.f64 (sqrt.f64 -1) (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) (sqrt.f64 -1)))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1)))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (/.f64 (+.f64 1 (*.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1) 1/2)) (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))) |
(+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1))) (*.f64 (/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) x) (+.f64 -1/2 (/.f64 1/2 x)))) |
(sqrt.f64 -1) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) |
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) |
(+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))) |
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1))) (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1)))) |
(+.f64 (sqrt.f64 -1) (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) (sqrt.f64 -1)))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1)))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (/.f64 (+.f64 1 (*.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1) 1/2)) (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))) |
(+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1))) (*.f64 (/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) x) (+.f64 -1/2 (/.f64 1/2 x)))) |
Compiled 6373 to 4839 computations (24.1% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 231 | 4 | 235 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 231 | 5 | 236 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
| ▶ | 0.0b | (*.f64 2 (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6) 3))) |
| ▶ | 0.5b | (*.f64 2 (atan.f64 (-.f64 1 x))) |
| ▶ | 0.0b | (*.f64 2 (log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) |
| ▶ | 0.0b | (*.f64 2 (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2))) |
Compiled 63 to 54 computations (14.3% saved)
Compiled 17 to 13 computations (23.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6) |
| ✓ | 0.0b | (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6) 3)) |
| ✓ | 0.0b | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
| ✓ | 0.0b | (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6) 3) |
Compiled 65 to 52 computations (20% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6) 3) |
| 1.0ms | x | @ | inf | (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6) 3) |
| 1.0ms | x | @ | 0 | (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6) 3) |
| 0.0ms | x | @ | inf | (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6) |
| 0.0ms | x | @ | -inf | (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6) 3)) |
| 1× | batch-egg-rewrite |
| 512× | log-prod_binary64 |
| 311× | prod-diff_binary64 |
| 290× | pow2_binary64 |
| 283× | pow-prod-down_binary64 |
| 203× | pow-to-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 51 |
| 1 | 251 | 49 |
| 2 | 3146 | 49 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6) 3) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6) 3)) |
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/18) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/12) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 x) 1/6) (pow.f64 (+.f64 1 x) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/6 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/18)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/12 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/2)))))) |
| 1× | egg-herbie |
| 820× | fma-def_binary64 |
| 560× | associate-+l+_binary64 |
| 483× | associate-+r+_binary64 |
| 451× | fma-neg_binary64 |
| 411× | times-frac_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 133 | 808 |
| 1 | 410 | 715 |
| 2 | 1362 | 636 |
| 3 | 6798 | 633 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -2/3 (/.f64 (sqrt.f64 -1) x)) (*.f64 -1/3 (/.f64 (sqrt.f64 -1) x)))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -2/3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/18 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 -1) x)) (*.f64 4/9 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))))) |
(+.f64 (*.f64 -1/27 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (*.f64 1/18 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -2/27 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 4/9 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 (pow.f64 -1 1/6) (/.f64 (+.f64 (*.f64 -1/27 (pow.f64 -1 1/3)) (*.f64 -19/81 (pow.f64 -1 1/3))) (pow.f64 x 3))) (+.f64 (*.f64 -2/3 (/.f64 (sqrt.f64 -1) x)) (*.f64 -19/162 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))))))))))) |
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (sqrt.f64 -1)) (*.f64 2/3 (sqrt.f64 -1))) x))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (sqrt.f64 -1)) (*.f64 2/3 (sqrt.f64 -1))) x)) (+.f64 (*.f64 1/18 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 4/9 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 19/162 (sqrt.f64 -1)) (+.f64 (*.f64 (pow.f64 -1 1/6) (+.f64 (*.f64 19/81 (pow.f64 -1 1/3)) (*.f64 1/27 (pow.f64 -1 1/3)))) (+.f64 (*.f64 2/27 (sqrt.f64 -1)) (*.f64 1/27 (sqrt.f64 -1))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (sqrt.f64 -1)) (*.f64 2/3 (sqrt.f64 -1))) x)) (+.f64 (*.f64 1/18 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 4/9 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))))) |
1 |
(+.f64 1 (*.f64 -2 x)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/6) 3)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/6) 3)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/6) 3)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/6) 3)) |
1 |
(+.f64 1 (*.f64 -1/3 x)) |
(+.f64 1 (+.f64 (*.f64 -1/3 x) (*.f64 1/18 (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 -1/3 x) (+.f64 (*.f64 1/18 (pow.f64 x 2)) (*.f64 -19/162 (pow.f64 x 3))))) |
(pow.f64 -1 1/6) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 -1 1/6) (/.f64 1 x))) (pow.f64 -1 1/6)) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 -1 1/6) (/.f64 1 x))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 -1 1/6) (/.f64 1 (pow.f64 x 2)))) (pow.f64 -1 1/6))) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 -1 1/6) (/.f64 1 x))) (+.f64 (*.f64 -19/162 (*.f64 (pow.f64 -1 1/6) (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 -1 1/6) (/.f64 1 (pow.f64 x 2)))) (pow.f64 -1 1/6)))) |
(pow.f64 -1 1/6) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 -1 1/6) (/.f64 1 x))) (pow.f64 -1 1/6)) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 -1 1/6) (/.f64 1 x))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 -1 1/6) (/.f64 1 (pow.f64 x 2)))) (pow.f64 -1 1/6))) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 -1 1/6) (/.f64 1 x))) (+.f64 (*.f64 -19/162 (*.f64 (pow.f64 -1 1/6) (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 -1 1/6) (/.f64 1 (pow.f64 x 2)))) (pow.f64 -1 1/6)))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (neg.f64 x)) |
(-.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(+.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(+.f64 1 (*.f64 x (fma.f64 x 1/2 -1))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(+.f64 (fma.f64 -1/2 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) (-.f64 1 x)) |
(fma.f64 -1/2 (pow.f64 x 3) (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(fma.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2)) (-.f64 1 x)) |
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -2/3 (/.f64 (sqrt.f64 -1) x)) (*.f64 -1/3 (/.f64 (sqrt.f64 -1) x)))) |
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) -1)) |
(-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x)) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -2/3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/18 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 -1) x)) (*.f64 4/9 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))))) |
(+.f64 (sqrt.f64 -1) (fma.f64 -2/3 (/.f64 (sqrt.f64 -1) x) (fma.f64 1/18 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (fma.f64 -1/3 (/.f64 (sqrt.f64 -1) x) (*.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) 4/9))))) |
(+.f64 (sqrt.f64 -1) (fma.f64 -2/3 (/.f64 (sqrt.f64 -1) x) (+.f64 (*.f64 (/.f64 (sqrt.f64 -1) x) -1/3) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)))))) |
(fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x))) |
(+.f64 (*.f64 -1/27 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (*.f64 1/18 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -2/27 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 4/9 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 (pow.f64 -1 1/6) (/.f64 (+.f64 (*.f64 -1/27 (pow.f64 -1 1/3)) (*.f64 -19/81 (pow.f64 -1 1/3))) (pow.f64 x 3))) (+.f64 (*.f64 -2/3 (/.f64 (sqrt.f64 -1) x)) (*.f64 -19/162 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))))))))))) |
(fma.f64 -1/27 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (fma.f64 1/18 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (fma.f64 -2/27 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (fma.f64 -1/3 (/.f64 (sqrt.f64 -1) x) (fma.f64 4/9 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (+.f64 (sqrt.f64 -1) (fma.f64 (pow.f64 -1 1/6) (/.f64 (*.f64 (cbrt.f64 -1) -22/81) (pow.f64 x 3)) (fma.f64 -2/3 (/.f64 (sqrt.f64 -1) x) (/.f64 (*.f64 -19/162 (sqrt.f64 -1)) (pow.f64 x 3)))))))))) |
(fma.f64 -1/27 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (fma.f64 1/18 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (fma.f64 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) -2/27 (fma.f64 (/.f64 (sqrt.f64 -1) x) -1/3 (+.f64 (fma.f64 (pow.f64 -1 1/6) (/.f64 (cbrt.f64 -1) (/.f64 (pow.f64 x 3) -22/81)) (fma.f64 -2/3 (/.f64 (sqrt.f64 -1) x) (/.f64 (*.f64 (sqrt.f64 -1) -19/162) (pow.f64 x 3)))) (fma.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) 4/9 (sqrt.f64 -1))))))) |
(fma.f64 -1/27 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (fma.f64 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) -2/27 (+.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (sqrt.f64 -1)) (+.f64 (fma.f64 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) -19/162 (/.f64 (pow.f64 (pow.f64 -1 1/6) 3) (/.f64 (pow.f64 x 3) -22/81))) (/.f64 (neg.f64 (sqrt.f64 -1)) x))))) |
(fma.f64 -1/27 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (fma.f64 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) -2/27 (+.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (sqrt.f64 -1)) (-.f64 (fma.f64 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) -19/162 (/.f64 (pow.f64 (pow.f64 -1 1/6) 3) (/.f64 (pow.f64 x 3) -22/81))) (/.f64 (sqrt.f64 -1) x))))) |
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (sqrt.f64 -1)) (*.f64 2/3 (sqrt.f64 -1))) x))) |
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) -1)) |
(-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x)) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (sqrt.f64 -1)) (*.f64 2/3 (sqrt.f64 -1))) x)) (+.f64 (*.f64 1/18 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 4/9 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(+.f64 (sqrt.f64 -1) (fma.f64 -2/3 (/.f64 (sqrt.f64 -1) x) (fma.f64 1/18 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (fma.f64 -1/3 (/.f64 (sqrt.f64 -1) x) (*.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) 4/9))))) |
(+.f64 (sqrt.f64 -1) (fma.f64 -2/3 (/.f64 (sqrt.f64 -1) x) (+.f64 (*.f64 (/.f64 (sqrt.f64 -1) x) -1/3) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)))))) |
(fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 19/162 (sqrt.f64 -1)) (+.f64 (*.f64 (pow.f64 -1 1/6) (+.f64 (*.f64 19/81 (pow.f64 -1 1/3)) (*.f64 1/27 (pow.f64 -1 1/3)))) (+.f64 (*.f64 2/27 (sqrt.f64 -1)) (*.f64 1/27 (sqrt.f64 -1))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (sqrt.f64 -1)) (*.f64 2/3 (sqrt.f64 -1))) x)) (+.f64 (*.f64 1/18 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 4/9 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))))) |
(+.f64 (sqrt.f64 -1) (fma.f64 -1 (/.f64 (fma.f64 19/162 (sqrt.f64 -1) (fma.f64 (pow.f64 -1 1/6) (*.f64 (cbrt.f64 -1) 22/81) (*.f64 (sqrt.f64 -1) 1/9))) (pow.f64 x 3)) (fma.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) 1) x) (*.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) 1/2)))) |
(+.f64 (sqrt.f64 -1) (-.f64 (fma.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) 1/2 (neg.f64 (/.f64 (sqrt.f64 -1) x))) (/.f64 (fma.f64 (sqrt.f64 -1) 19/162 (fma.f64 (sqrt.f64 -1) 1/9 (*.f64 (pow.f64 -1 1/6) (*.f64 (cbrt.f64 -1) 22/81)))) (pow.f64 x 3)))) |
(-.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x))) (/.f64 (fma.f64 (pow.f64 (pow.f64 -1 1/6) 3) 22/81 (*.f64 (sqrt.f64 -1) 37/162)) (pow.f64 x 3))) |
1 |
(+.f64 1 (*.f64 -2 x)) |
(+.f64 1 (*.f64 x -2)) |
(fma.f64 x -2 1) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x))) |
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 x -2))) |
(fma.f64 2 (*.f64 x x) (fma.f64 x -2 1)) |
(fma.f64 x -2 (fma.f64 x (*.f64 x 2) 1)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))))) |
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 -2 (+.f64 x (pow.f64 x 3))))) |
(fma.f64 2 (*.f64 x x) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) 1)) |
(fma.f64 x (*.f64 x 2) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) 1)) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(+.f64 (/.f64 2 x) -1) |
(+.f64 -1 (/.f64 2 x)) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (/.f64 2 x) -1) (/.f64 2 (*.f64 x x))) |
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x)))) |
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 x))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x))))) |
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(+.f64 (/.f64 2 x) -1) |
(+.f64 -1 (/.f64 2 x)) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (/.f64 2 x) -1) (/.f64 2 (*.f64 x x))) |
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x)))) |
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 x))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x))))) |
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/6) 3)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))) 1/6) 3)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6) 3)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/6) 3)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))) 1/6) 3)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6) 3)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/6) 3)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))) 1/6) 3)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6) 3)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/6) 3)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))) 1/6) 3)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6) 3)) |
1 |
(+.f64 1 (*.f64 -1/3 x)) |
(+.f64 1 (*.f64 x -1/3)) |
(fma.f64 x -1/3 1) |
(+.f64 1 (+.f64 (*.f64 -1/3 x) (*.f64 1/18 (pow.f64 x 2)))) |
(+.f64 1 (fma.f64 -1/3 x (*.f64 (*.f64 x x) 1/18))) |
(+.f64 1 (fma.f64 x -1/3 (*.f64 (*.f64 x x) 1/18))) |
(fma.f64 x -1/3 (fma.f64 x (*.f64 x 1/18) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/3 x) (+.f64 (*.f64 1/18 (pow.f64 x 2)) (*.f64 -19/162 (pow.f64 x 3))))) |
(+.f64 1 (fma.f64 -1/3 x (fma.f64 1/18 (*.f64 x x) (*.f64 (pow.f64 x 3) -19/162)))) |
(+.f64 (fma.f64 x -1/3 1) (fma.f64 (*.f64 x x) 1/18 (*.f64 (pow.f64 x 3) -19/162))) |
(+.f64 (*.f64 x (+.f64 -1/3 (*.f64 x 1/18))) (fma.f64 (pow.f64 x 3) -19/162 1)) |
(pow.f64 -1 1/6) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 -1 1/6) (/.f64 1 x))) (pow.f64 -1 1/6)) |
(fma.f64 -1/3 (*.f64 (pow.f64 -1 1/6) (/.f64 1 x)) (pow.f64 -1 1/6)) |
(fma.f64 -1/3 (/.f64 (pow.f64 -1 1/6) x) (pow.f64 -1 1/6)) |
(*.f64 (pow.f64 -1 1/6) (+.f64 (/.f64 -1/3 x) 1)) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 -1 1/6) (/.f64 1 x))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 -1 1/6) (/.f64 1 (pow.f64 x 2)))) (pow.f64 -1 1/6))) |
(fma.f64 -1/3 (*.f64 (pow.f64 -1 1/6) (/.f64 1 x)) (fma.f64 1/18 (/.f64 (*.f64 (pow.f64 -1 1/6) 1) (*.f64 x x)) (pow.f64 -1 1/6))) |
(fma.f64 -1/3 (/.f64 (pow.f64 -1 1/6) x) (fma.f64 1/18 (/.f64 (pow.f64 -1 1/6) (*.f64 x x)) (pow.f64 -1 1/6))) |
(+.f64 (pow.f64 -1 1/6) (*.f64 (pow.f64 -1 1/6) (+.f64 (/.f64 -1/3 x) (/.f64 1/18 (*.f64 x x))))) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 -1 1/6) (/.f64 1 x))) (+.f64 (*.f64 -19/162 (*.f64 (pow.f64 -1 1/6) (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 -1 1/6) (/.f64 1 (pow.f64 x 2)))) (pow.f64 -1 1/6)))) |
(fma.f64 -1/3 (*.f64 (pow.f64 -1 1/6) (/.f64 1 x)) (fma.f64 -19/162 (*.f64 (pow.f64 -1 1/6) (/.f64 1 (pow.f64 x 3))) (fma.f64 1/18 (/.f64 (*.f64 (pow.f64 -1 1/6) 1) (*.f64 x x)) (pow.f64 -1 1/6)))) |
(fma.f64 -1/3 (/.f64 (pow.f64 -1 1/6) x) (fma.f64 -19/162 (/.f64 (pow.f64 -1 1/6) (pow.f64 x 3)) (fma.f64 1/18 (/.f64 (pow.f64 -1 1/6) (*.f64 x x)) (pow.f64 -1 1/6)))) |
(+.f64 (*.f64 (pow.f64 -1 1/6) (+.f64 (/.f64 1/18 (*.f64 x x)) 1)) (*.f64 (pow.f64 -1 1/6) (+.f64 (/.f64 -1/3 x) (/.f64 -19/162 (pow.f64 x 3))))) |
(pow.f64 -1 1/6) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 -1 1/6) (/.f64 1 x))) (pow.f64 -1 1/6)) |
(fma.f64 -1/3 (*.f64 (pow.f64 -1 1/6) (/.f64 1 x)) (pow.f64 -1 1/6)) |
(fma.f64 -1/3 (/.f64 (pow.f64 -1 1/6) x) (pow.f64 -1 1/6)) |
(*.f64 (pow.f64 -1 1/6) (+.f64 (/.f64 -1/3 x) 1)) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 -1 1/6) (/.f64 1 x))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 -1 1/6) (/.f64 1 (pow.f64 x 2)))) (pow.f64 -1 1/6))) |
(fma.f64 -1/3 (*.f64 (pow.f64 -1 1/6) (/.f64 1 x)) (fma.f64 1/18 (/.f64 (*.f64 (pow.f64 -1 1/6) 1) (*.f64 x x)) (pow.f64 -1 1/6))) |
(fma.f64 -1/3 (/.f64 (pow.f64 -1 1/6) x) (fma.f64 1/18 (/.f64 (pow.f64 -1 1/6) (*.f64 x x)) (pow.f64 -1 1/6))) |
(+.f64 (pow.f64 -1 1/6) (*.f64 (pow.f64 -1 1/6) (+.f64 (/.f64 -1/3 x) (/.f64 1/18 (*.f64 x x))))) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 -1 1/6) (/.f64 1 x))) (+.f64 (*.f64 -19/162 (*.f64 (pow.f64 -1 1/6) (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 -1 1/6) (/.f64 1 (pow.f64 x 2)))) (pow.f64 -1 1/6)))) |
(fma.f64 -1/3 (*.f64 (pow.f64 -1 1/6) (/.f64 1 x)) (fma.f64 -19/162 (*.f64 (pow.f64 -1 1/6) (/.f64 1 (pow.f64 x 3))) (fma.f64 1/18 (/.f64 (*.f64 (pow.f64 -1 1/6) 1) (*.f64 x x)) (pow.f64 -1 1/6)))) |
(fma.f64 -1/3 (/.f64 (pow.f64 -1 1/6) x) (fma.f64 -19/162 (/.f64 (pow.f64 -1 1/6) (pow.f64 x 3)) (fma.f64 1/18 (/.f64 (pow.f64 -1 1/6) (*.f64 x x)) (pow.f64 -1 1/6)))) |
(+.f64 (*.f64 (pow.f64 -1 1/6) (+.f64 (/.f64 1/18 (*.f64 x x)) 1)) (*.f64 (pow.f64 -1 1/6) (+.f64 (/.f64 -1/3 x) (/.f64 -19/162 (pow.f64 x 3))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) |
| ✓ | 0.0b | (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)) |
| 0.0b | (/.f64 (-.f64 1 x) (+.f64 1 x)) | |
| ✓ | 0.0b | (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2) |
Compiled 64 to 51 computations (20.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2) |
| 1.0ms | x | @ | -inf | (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2) |
| 1.0ms | x | @ | 0 | (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2) |
| 0.0ms | x | @ | inf | (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) |
| 0.0ms | x | @ | -inf | (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)) |
| 1× | batch-egg-rewrite |
| 499× | log-prod_binary64 |
| 311× | prod-diff_binary64 |
| 282× | pow2_binary64 |
| 273× | pow-prod-down_binary64 |
| 193× | pow-to-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 41 |
| 1 | 247 | 39 |
| 2 | 3106 | 39 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)) |
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/8) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/8) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 5/6) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (-.f64 1 x))) (sqrt.f64 (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6)) 3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/12) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/8) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/4 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/4 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/8 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2)))))) |
| 1× | egg-herbie |
| 691× | unsub-neg_binary64 |
| 418× | associate-/r/_binary64 |
| 373× | fma-def_binary64 |
| 349× | fma-neg_binary64 |
| 291× | *-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 565 |
| 1 | 204 | 489 |
| 2 | 644 | 421 |
| 3 | 2942 | 392 |
| 4 | 7124 | 392 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -3/8 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)) (*.f64 -1/8 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))))))) |
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 3/8 (sqrt.f64 -1)) (*.f64 1/8 (sqrt.f64 -1))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/4) 2)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/4) 2)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/4) 2)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/4) 2)) |
1 |
(+.f64 (*.f64 -1/2 x) 1) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) 1)) |
(+.f64 (*.f64 -3/16 (pow.f64 x 3)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) 1))) |
(pow.f64 -1 1/4) |
(+.f64 (pow.f64 -1 1/4) (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x)))) |
(+.f64 (pow.f64 -1 1/4) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 (pow.f64 -1 1/4) (+.f64 (*.f64 -3/16 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 2))))))) |
(pow.f64 -1 1/4) |
(+.f64 (pow.f64 -1 1/4) (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x)))) |
(+.f64 (pow.f64 -1 1/4) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 (pow.f64 -1 1/4) (+.f64 (*.f64 -3/16 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 2))))))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (neg.f64 x)) |
(-.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x)) |
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) |
(+.f64 1 (*.f64 x (fma.f64 x 1/2 -1))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(+.f64 (fma.f64 -1/2 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) (-.f64 1 x)) |
(fma.f64 -1/2 (pow.f64 x 3) (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) |
(fma.f64 x (*.f64 x (+.f64 1/2 (*.f64 x -1/2))) (-.f64 1 x)) |
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) |
(+.f64 (sqrt.f64 -1) (neg.f64 (/.f64 (sqrt.f64 -1) x))) |
(-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x)) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))) |
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (neg.f64 (/.f64 (sqrt.f64 -1) x)))) |
(+.f64 (sqrt.f64 -1) (-.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 (sqrt.f64 -1) x))) |
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -1 (/.f64 1/2 x)))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -3/8 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)) (*.f64 -1/8 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))))))) |
(+.f64 (sqrt.f64 -1) (fma.f64 -3/8 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (fma.f64 -1 (/.f64 (sqrt.f64 -1) x) (*.f64 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) -1/8))))) |
(+.f64 (sqrt.f64 -1) (fma.f64 -3/8 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (-.f64 (/.f64 (*.f64 (sqrt.f64 -1) -1/8) (pow.f64 x 3)) (/.f64 (sqrt.f64 -1) x))))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -1 (/.f64 1/2 x))) (+.f64 (*.f64 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) -1/2) (sqrt.f64 -1))) |
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (-.f64 (+.f64 -1 (/.f64 1/2 x)) (/.f64 1/2 (*.f64 x x))))) |
(-.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (-.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 -1 (/.f64 1/2 x))))) |
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) |
(+.f64 (sqrt.f64 -1) (neg.f64 (/.f64 (sqrt.f64 -1) x))) |
(-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x)) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))) |
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (neg.f64 (/.f64 (sqrt.f64 -1) x)))) |
(+.f64 (sqrt.f64 -1) (-.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 (sqrt.f64 -1) x))) |
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -1 (/.f64 1/2 x)))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 3/8 (sqrt.f64 -1)) (*.f64 1/8 (sqrt.f64 -1))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))) |
(+.f64 (sqrt.f64 -1) (fma.f64 -3/8 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (fma.f64 -1 (/.f64 (sqrt.f64 -1) x) (*.f64 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) -1/8))))) |
(+.f64 (sqrt.f64 -1) (fma.f64 -3/8 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (-.f64 (/.f64 (*.f64 (sqrt.f64 -1) -1/8) (pow.f64 x 3)) (/.f64 (sqrt.f64 -1) x))))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -1 (/.f64 1/2 x))) (+.f64 (*.f64 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) -1/2) (sqrt.f64 -1))) |
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (-.f64 (+.f64 -1 (/.f64 1/2 x)) (/.f64 1/2 (*.f64 x x))))) |
(-.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (-.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 -1 (/.f64 1/2 x))))) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/4) 2)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))) 1/4) 2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/2)) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/4) 2)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))) 1/4) 2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/2)) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/4) 2)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))) 1/4) 2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/2)) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/4) 2)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))) 1/4) 2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/2)) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
1 |
(+.f64 (*.f64 -1/2 x) 1) |
(fma.f64 -1/2 x 1) |
(fma.f64 x -1/2 1) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) 1)) |
(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/2 x 1)) |
(fma.f64 (*.f64 x x) 1/8 (fma.f64 x -1/2 1)) |
(fma.f64 x -1/2 (fma.f64 x (*.f64 x 1/8) 1)) |
(+.f64 (*.f64 -3/16 (pow.f64 x 3)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) 1))) |
(fma.f64 -3/16 (pow.f64 x 3) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/2 x 1))) |
(fma.f64 (pow.f64 x 3) -3/16 (fma.f64 (*.f64 x x) 1/8 (fma.f64 x -1/2 1))) |
(fma.f64 x (*.f64 x 1/8) (fma.f64 (pow.f64 x 3) -3/16 (fma.f64 x -1/2 1))) |
(+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 1/8 (*.f64 x -3/16)))))) |
(pow.f64 -1 1/4) |
(+.f64 (pow.f64 -1 1/4) (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x)))) |
(fma.f64 -1/2 (/.f64 (pow.f64 -1 1/4) x) (pow.f64 -1 1/4)) |
(*.f64 (pow.f64 -1 1/4) (+.f64 (/.f64 -1/2 x) 1)) |
(*.f64 (pow.f64 -1 1/4) (+.f64 1 (/.f64 -1/2 x))) |
(*.f64 (pow.f64 -1 1/4) (-.f64 1 (/.f64 1/2 x))) |
(+.f64 (pow.f64 -1 1/4) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 (pow.f64 -1 1/4) (fma.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x)) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (*.f64 x x)))))) |
(+.f64 (pow.f64 -1 1/4) (fma.f64 -1/2 (/.f64 (pow.f64 -1 1/4) x) (*.f64 1/8 (/.f64 (/.f64 (pow.f64 -1 1/4) x) x)))) |
(+.f64 (pow.f64 -1 1/4) (*.f64 (pow.f64 -1 1/4) (+.f64 (/.f64 -1/2 x) (/.f64 1/8 (*.f64 x x))))) |
(+.f64 (pow.f64 -1 1/4) (*.f64 (/.f64 (pow.f64 -1 1/4) x) (+.f64 -1/2 (/.f64 1/8 x)))) |
(*.f64 (pow.f64 -1 1/4) (+.f64 1 (-.f64 (/.f64 1/8 (*.f64 x x)) (/.f64 1/2 x)))) |
(+.f64 (pow.f64 -1 1/4) (+.f64 (*.f64 -3/16 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 2))))))) |
(+.f64 (pow.f64 -1 1/4) (fma.f64 -3/16 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 3))) (fma.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x)) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (*.f64 x x))))))) |
(+.f64 (pow.f64 -1 1/4) (fma.f64 -3/16 (/.f64 (pow.f64 -1 1/4) (pow.f64 x 3)) (fma.f64 -1/2 (/.f64 (pow.f64 -1 1/4) x) (*.f64 1/8 (/.f64 (/.f64 (pow.f64 -1 1/4) x) x))))) |
(+.f64 (*.f64 (pow.f64 -1 1/4) (+.f64 (/.f64 -1/2 x) 1)) (*.f64 (pow.f64 -1 1/4) (+.f64 (/.f64 -3/16 (pow.f64 x 3)) (/.f64 1/8 (*.f64 x x))))) |
(*.f64 (pow.f64 -1 1/4) (+.f64 (+.f64 1 (/.f64 -1/2 x)) (+.f64 (/.f64 1/8 (*.f64 x x)) (/.f64 -3/16 (pow.f64 x 3))))) |
(*.f64 (pow.f64 -1 1/4) (+.f64 (+.f64 (/.f64 1/8 (*.f64 x x)) (/.f64 -3/16 (pow.f64 x 3))) (-.f64 1 (/.f64 1/2 x)))) |
(pow.f64 -1 1/4) |
(+.f64 (pow.f64 -1 1/4) (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x)))) |
(fma.f64 -1/2 (/.f64 (pow.f64 -1 1/4) x) (pow.f64 -1 1/4)) |
(*.f64 (pow.f64 -1 1/4) (+.f64 (/.f64 -1/2 x) 1)) |
(*.f64 (pow.f64 -1 1/4) (+.f64 1 (/.f64 -1/2 x))) |
(*.f64 (pow.f64 -1 1/4) (-.f64 1 (/.f64 1/2 x))) |
(+.f64 (pow.f64 -1 1/4) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 (pow.f64 -1 1/4) (fma.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x)) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (*.f64 x x)))))) |
(+.f64 (pow.f64 -1 1/4) (fma.f64 -1/2 (/.f64 (pow.f64 -1 1/4) x) (*.f64 1/8 (/.f64 (/.f64 (pow.f64 -1 1/4) x) x)))) |
(+.f64 (pow.f64 -1 1/4) (*.f64 (pow.f64 -1 1/4) (+.f64 (/.f64 -1/2 x) (/.f64 1/8 (*.f64 x x))))) |
(+.f64 (pow.f64 -1 1/4) (*.f64 (/.f64 (pow.f64 -1 1/4) x) (+.f64 -1/2 (/.f64 1/8 x)))) |
(*.f64 (pow.f64 -1 1/4) (+.f64 1 (-.f64 (/.f64 1/8 (*.f64 x x)) (/.f64 1/2 x)))) |
(+.f64 (pow.f64 -1 1/4) (+.f64 (*.f64 -3/16 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 2))))))) |
(+.f64 (pow.f64 -1 1/4) (fma.f64 -3/16 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 3))) (fma.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x)) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (*.f64 x x))))))) |
(+.f64 (pow.f64 -1 1/4) (fma.f64 -3/16 (/.f64 (pow.f64 -1 1/4) (pow.f64 x 3)) (fma.f64 -1/2 (/.f64 (pow.f64 -1 1/4) x) (*.f64 1/8 (/.f64 (/.f64 (pow.f64 -1 1/4) x) x))))) |
(+.f64 (*.f64 (pow.f64 -1 1/4) (+.f64 (/.f64 -1/2 x) 1)) (*.f64 (pow.f64 -1 1/4) (+.f64 (/.f64 -3/16 (pow.f64 x 3)) (/.f64 1/8 (*.f64 x x))))) |
(*.f64 (pow.f64 -1 1/4) (+.f64 (+.f64 1 (/.f64 -1/2 x)) (+.f64 (/.f64 1/8 (*.f64 x x)) (/.f64 -3/16 (pow.f64 x 3))))) |
(*.f64 (pow.f64 -1 1/4) (+.f64 (+.f64 (/.f64 1/8 (*.f64 x x)) (/.f64 -3/16 (pow.f64 x 3))) (-.f64 1 (/.f64 1/2 x)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| ✓ | 0.0b | (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| ✓ | 0.0b | (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
| 0.0b | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
Compiled 68 to 53 computations (22.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| 0.0ms | x | @ | 0 | (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| 0.0ms | x | @ | inf | (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| 0.0ms | x | @ | 0 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
| 0.0ms | x | @ | inf | (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| 1× | batch-egg-rewrite |
| 458× | log-prod_binary64 |
| 352× | exp-prod_binary64 |
| 311× | prod-diff_binary64 |
| 267× | pow-prod-down_binary64 |
| 244× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 42 |
| 1 | 193 | 42 |
| 2 | 2620 | 42 |
| 1× | node limit |
| Inputs |
|---|
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule 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| 1× | egg-herbie |
| 695× | fma-def_binary64 |
| 622× | div-sub_binary64 |
| 454× | fma-neg_binary64 |
| 433× | associate-*l/_binary64 |
| 381× | associate-/l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 574 |
| 1 | 193 | 548 |
| 2 | 596 | 456 |
| 3 | 2601 | 431 |
| 4 | 7158 | 431 |
| 1× | node limit |
| Inputs |
|---|
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(-.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1) |
(-.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1) |
(-.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1) |
(-.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1) |
(-.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1) |
(-.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1) |
(-.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1) |
(-.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1) |
(-.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))) 1) |
(-.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))) 1) |
(-.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))) 1) |
(-.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))) 1) |
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(sqrt.f64 -1) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))) |
(sqrt.f64 -1) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))) |
| Outputs |
|---|
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(-.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1) |
(expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(-.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1) |
(expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(-.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1) |
(expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(-.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1) |
(expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(-.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1) |
(expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(-.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1) |
(expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(-.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1) |
(expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(-.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1) |
(expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(-.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))) 1) |
(expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(-.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))) 1) |
(expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(-.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))) 1) |
(expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(-.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))) 1) |
(expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
1 |
(+.f64 1 (*.f64 -1 x)) |
(-.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x)) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(fma.f64 x (fma.f64 x 1/2 -1) 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (-.f64 (*.f64 1/2 (*.f64 x x)) x))) |
(fma.f64 -1/2 (pow.f64 x 3) (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x) |
(sqrt.f64 -1) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) |
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) |
(+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))) |
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x)))) |
(+.f64 (sqrt.f64 -1) (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1)))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 1/2 (/.f64 (+.f64 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (+.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 x 3))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (*.f64 (/.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) x) (+.f64 (/.f64 1/2 x) -1/2)))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (*.f64 (/.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) x) (+.f64 -1/2 (/.f64 1/2 x))))) |
(sqrt.f64 -1) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) |
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) |
(+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))) |
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x)))) |
(+.f64 (sqrt.f64 -1) (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1)))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 1/2 (/.f64 (+.f64 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (+.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 x 3))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (*.f64 (/.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) x) (+.f64 (/.f64 1/2 x) -1/2)))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (*.f64 (/.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) x) (+.f64 -1/2 (/.f64 1/2 x))))) |
Compiled 21972 to 17480 computations (20.4% saved)
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 763 | 3 | 766 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 3 | 4 |
| Total | 764 | 7 | 771 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 2 (log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) |
| ▶ | 1.3b | (*.f64 2 (atan.f64 1)) |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6) 3))) |
| ✓ | 0.5b | (*.f64 2 (atan.f64 (-.f64 1 x))) |
| ▶ | 0.1b | (*.f64 2 (atan.f64 (pow.f64 (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 1/8 (*.f64 x -3/16)))))) 2))) |
| ▶ | 0.5b | (*.f64 2 (atan.f64 (pow.f64 (+.f64 1 (*.f64 -1/3 x)) 3))) |
Compiled 83 to 72 computations (13.3% saved)
Compiled 9 to 9 computations (0% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (atan.f64 (pow.f64 (+.f64 1 (*.f64 -1/3 x)) 3)) |
| ✓ | 0.0b | (pow.f64 (+.f64 1 (*.f64 -1/3 x)) 3) |
| ✓ | 0.3b | (*.f64 -1/3 x) |
Compiled 39 to 33 computations (15.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (pow.f64 (+.f64 1 (*.f64 -1/3 x)) 3) |
| 1.0ms | x | @ | inf | (pow.f64 (+.f64 1 (*.f64 -1/3 x)) 3) |
| 1.0ms | x | @ | 0 | (*.f64 -1/3 x) |
| 0.0ms | x | @ | -inf | (*.f64 -1/3 x) |
| 0.0ms | x | @ | inf | (*.f64 -1/3 x) |
| 1× | batch-egg-rewrite |
| 823× | pow1_binary64 |
| 771× | add-log-exp_binary64 |
| 770× | log1p-expm1-u_binary64 |
| 770× | expm1-log1p-u_binary64 |
| 756× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 26 |
| 1 | 190 | 22 |
| 2 | 2116 | 22 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/3 x) |
(pow.f64 (+.f64 1 (*.f64 -1/3 x)) 3) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -1/3 x)) 3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 -1/3 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/3 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/3 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (fma.f64 -1/3 x 1) 2) (*.f64 (*.f64 -1/3 x) (pow.f64 (fma.f64 -1/3 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/3 x) (pow.f64 (fma.f64 -1/3 x 1) 2)) (pow.f64 (fma.f64 -1/3 x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (fma.f64 -1/3 x 1) 2) (*.f64 -1/3 x)) (*.f64 (pow.f64 (fma.f64 -1/3 x 1) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (fma.f64 -1/3 x 1) 2) 1) (*.f64 (pow.f64 (fma.f64 -1/3 x 1) 2) (*.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (fma.f64 -1/3 x 1) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 -1/3 x 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/3 x 1) (pow.f64 (fma.f64 -1/3 x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 -1/3 x 1) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 -1/3 x 1) 2) (fma.f64 -1/3 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 x 1)) 2) (*.f64 (cbrt.f64 (fma.f64 -1/3 x 1)) (pow.f64 (fma.f64 -1/3 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/3 x 1)) (*.f64 (sqrt.f64 (fma.f64 -1/3 x 1)) (pow.f64 (fma.f64 -1/3 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 -1/3 x 1) 3/2) (pow.f64 (fma.f64 -1/3 x 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 x 1)) 2) 3) (fma.f64 -1/3 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 -1/3 x 1)) 3) (pow.f64 (sqrt.f64 (fma.f64 -1/3 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 -1/3 x 1) 2) 1) (fma.f64 -1/3 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 -1/3 x 1) 2) (pow.f64 (cbrt.f64 (fma.f64 -1/3 x 1)) 2)) (cbrt.f64 (fma.f64 -1/3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 -1/3 x 1) 2) (sqrt.f64 (fma.f64 -1/3 x 1))) (sqrt.f64 (fma.f64 -1/3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 1 (pow.f64 (*.f64 -1/3 x) 3)) 3) (pow.f64 (+.f64 1 (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 1/3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 1 (*.f64 1/9 (*.f64 x x))) 3) (pow.f64 (+.f64 1 (*.f64 1/3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 -1/3 x) 3)) (pow.f64 (fma.f64 -1/3 x 1) 2)) (+.f64 1 (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 1/9 (*.f64 x x))) (pow.f64 (fma.f64 -1/3 x 1) 2)) (+.f64 1 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (fma.f64 -1/3 x 1) 2) (+.f64 1 (pow.f64 (*.f64 -1/3 x) 3))) (+.f64 1 (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (fma.f64 -1/3 x 1) 2) (-.f64 1 (*.f64 1/9 (*.f64 x x)))) (+.f64 1 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/3 x 1) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 -1/3 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fma.f64 -1/3 x 1) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 -1/3 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 -1/3 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log1p.f64 (*.f64 -1/3 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan.f64 (pow.f64 (fma.f64 -1/3 x 1) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (pow.f64 (fma.f64 -1/3 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (pow.f64 (fma.f64 -1/3 x 1) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (pow.f64 (fma.f64 -1/3 x 1) 3))) (pow.f64 (cbrt.f64 (atan.f64 (pow.f64 (fma.f64 -1/3 x 1) 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (pow.f64 (fma.f64 -1/3 x 1) 3))) 2) (cbrt.f64 (atan.f64 (pow.f64 (fma.f64 -1/3 x 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (pow.f64 (fma.f64 -1/3 x 1) 3))) (sqrt.f64 (atan.f64 (pow.f64 (fma.f64 -1/3 x 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (pow.f64 (fma.f64 -1/3 x 1) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (pow.f64 (fma.f64 -1/3 x 1) 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (pow.f64 (fma.f64 -1/3 x 1) 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (pow.f64 (fma.f64 -1/3 x 1) 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (pow.f64 (fma.f64 -1/3 x 1) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (pow.f64 (fma.f64 -1/3 x 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (pow.f64 (fma.f64 -1/3 x 1) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (pow.f64 (fma.f64 -1/3 x 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (pow.f64 (fma.f64 -1/3 x 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (pow.f64 (fma.f64 -1/3 x 1) 3)))))))) |
| 1× | egg-herbie |
| 456× | distribute-rgt-in_binary64 |
| 420× | distribute-lft-in_binary64 |
| 379× | distribute-rgt-neg-out_binary64 |
| 376× | distribute-neg-in_binary64 |
| 303× | unswap-sqr_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 210 |
| 1 | 72 | 202 |
| 2 | 156 | 185 |
| 3 | 508 | 163 |
| 4 | 1940 | 163 |
| 5 | 6381 | 163 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/3 (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/27 (pow.f64 x 3)) (*.f64 1/3 (pow.f64 x 2))))) |
(*.f64 -1/27 (pow.f64 x 3)) |
(+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 -1/27 (pow.f64 x 3))) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 -1/27 (pow.f64 x 3)))) |
(+.f64 1 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 -1/27 (pow.f64 x 3))))) |
(*.f64 -1/27 (pow.f64 x 3)) |
(+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 -1/27 (pow.f64 x 3))) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 -1/27 (pow.f64 x 3)))) |
(+.f64 1 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 -1/27 (pow.f64 x 3))))) |
(atan.f64 (pow.f64 (-.f64 1 (*.f64 1/3 x)) 3)) |
(atan.f64 (pow.f64 (-.f64 1 (*.f64 1/3 x)) 3)) |
(atan.f64 (pow.f64 (-.f64 1 (*.f64 1/3 x)) 3)) |
(atan.f64 (pow.f64 (-.f64 1 (*.f64 1/3 x)) 3)) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (neg.f64 x)) |
(-.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/3 (pow.f64 x 2)))) |
(+.f64 1 (fma.f64 -1 x (*.f64 1/3 (*.f64 x x)))) |
(+.f64 1 (-.f64 (*.f64 1/3 (*.f64 x x)) x)) |
(fma.f64 x (*.f64 x 1/3) (-.f64 1 x)) |
(fma.f64 x (fma.f64 x 1/3 -1) 1) |
(+.f64 1 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/27 (pow.f64 x 3)) (*.f64 1/3 (pow.f64 x 2))))) |
(+.f64 1 (fma.f64 -1 x (fma.f64 1/3 (*.f64 x x) (*.f64 -1/27 (pow.f64 x 3))))) |
(+.f64 1 (-.f64 (fma.f64 1/3 (*.f64 x x) (*.f64 -1/27 (pow.f64 x 3))) x)) |
(+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -1/27) 1/3))) |
(fma.f64 x (*.f64 x (fma.f64 x -1/27 1/3)) (-.f64 1 x)) |
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/27 1/3)) 1) x) |
(*.f64 -1/27 (pow.f64 x 3)) |
(+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 -1/27 (pow.f64 x 3))) |
(fma.f64 1/3 (*.f64 x x) (*.f64 -1/27 (pow.f64 x 3))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 x -1/27) 1/3)) |
(*.f64 x (*.f64 x (fma.f64 x -1/27 1/3))) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 -1/27 (pow.f64 x 3)))) |
(fma.f64 -1 x (fma.f64 1/3 (*.f64 x x) (*.f64 -1/27 (pow.f64 x 3)))) |
(-.f64 (fma.f64 1/3 (*.f64 x x) (*.f64 -1/27 (pow.f64 x 3))) x) |
(-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x -1/27) 1/3)) x) |
(-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/27 1/3))) x) |
(+.f64 1 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 -1/27 (pow.f64 x 3))))) |
(+.f64 1 (fma.f64 -1 x (fma.f64 1/3 (*.f64 x x) (*.f64 -1/27 (pow.f64 x 3))))) |
(+.f64 1 (-.f64 (fma.f64 1/3 (*.f64 x x) (*.f64 -1/27 (pow.f64 x 3))) x)) |
(+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -1/27) 1/3))) |
(fma.f64 x (*.f64 x (fma.f64 x -1/27 1/3)) (-.f64 1 x)) |
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/27 1/3)) 1) x) |
(*.f64 -1/27 (pow.f64 x 3)) |
(+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 -1/27 (pow.f64 x 3))) |
(fma.f64 1/3 (*.f64 x x) (*.f64 -1/27 (pow.f64 x 3))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 x -1/27) 1/3)) |
(*.f64 x (*.f64 x (fma.f64 x -1/27 1/3))) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 -1/27 (pow.f64 x 3)))) |
(fma.f64 -1 x (fma.f64 1/3 (*.f64 x x) (*.f64 -1/27 (pow.f64 x 3)))) |
(-.f64 (fma.f64 1/3 (*.f64 x x) (*.f64 -1/27 (pow.f64 x 3))) x) |
(-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x -1/27) 1/3)) x) |
(-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/27 1/3))) x) |
(+.f64 1 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 -1/27 (pow.f64 x 3))))) |
(+.f64 1 (fma.f64 -1 x (fma.f64 1/3 (*.f64 x x) (*.f64 -1/27 (pow.f64 x 3))))) |
(+.f64 1 (-.f64 (fma.f64 1/3 (*.f64 x x) (*.f64 -1/27 (pow.f64 x 3))) x)) |
(+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -1/27) 1/3))) |
(fma.f64 x (*.f64 x (fma.f64 x -1/27 1/3)) (-.f64 1 x)) |
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/27 1/3)) 1) x) |
(atan.f64 (pow.f64 (-.f64 1 (*.f64 1/3 x)) 3)) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -1/3 x)) 3)) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 x -1/3)) 3)) |
(atan.f64 (pow.f64 (fma.f64 x -1/3 1) 3)) |
(atan.f64 (pow.f64 (-.f64 1 (*.f64 1/3 x)) 3)) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -1/3 x)) 3)) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 x -1/3)) 3)) |
(atan.f64 (pow.f64 (fma.f64 x -1/3 1) 3)) |
(atan.f64 (pow.f64 (-.f64 1 (*.f64 1/3 x)) 3)) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -1/3 x)) 3)) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 x -1/3)) 3)) |
(atan.f64 (pow.f64 (fma.f64 x -1/3 1) 3)) |
(atan.f64 (pow.f64 (-.f64 1 (*.f64 1/3 x)) 3)) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -1/3 x)) 3)) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 x -1/3)) 3)) |
(atan.f64 (pow.f64 (fma.f64 x -1/3 1) 3)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (atan.f64 (pow.f64 (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 1/8 (*.f64 x -3/16)))))) 2)) |
| ✓ | 0.0b | (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 1/8 (*.f64 x -3/16))))) |
| ✓ | 0.0b | (*.f64 x (+.f64 1/8 (*.f64 x -3/16))) |
| ✓ | 0.0b | (pow.f64 (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 1/8 (*.f64 x -3/16)))))) 2) |
Compiled 104 to 82 computations (21.2% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (pow.f64 (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 1/8 (*.f64 x -3/16)))))) 2) |
| 1.0ms | x | @ | -inf | (pow.f64 (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 1/8 (*.f64 x -3/16)))))) 2) |
| 1.0ms | x | @ | 0 | (pow.f64 (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 1/8 (*.f64 x -3/16)))))) 2) |
| 1.0ms | x | @ | inf | (*.f64 x (+.f64 1/8 (*.f64 x -3/16))) |
| 1.0ms | x | @ | inf | (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 1/8 (*.f64 x -3/16))))) |
| 1× | batch-egg-rewrite |
| 985× | prod-diff_binary64 |
| 578× | fma-def_binary64 |
| 277× | expm1-udef_binary64 |
| 277× | log1p-udef_binary64 |
| 239× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 72 |
| 1 | 340 | 54 |
| 2 | 4461 | 54 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 1/8 (*.f64 x -3/16)))))) 2) |
(*.f64 x (+.f64 1/8 (*.f64 x -3/16))) |
(*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 1/8 (*.f64 x -3/16))))) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 1/8 (*.f64 x -3/16)))))) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) (*.f64 (*.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2)) (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) (*.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2)) (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1)) (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) (*.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2))) (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) 2))) 1)))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) 2))) (cbrt.f64 (pow.f64 (atan.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (atan.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) 2)) 2)) (cbrt.f64 (atan.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) 2))) (sqrt.f64 (atan.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) 2))) 1)))))) |
| 1× | egg-herbie |
| 629× | fma-neg_binary64 |
| 588× | cancel-sign-sub-inv_binary64 |
| 444× | unsub-neg_binary64 |
| 417× | distribute-rgt-in_binary64 |
| 406× | distribute-lft-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 726 |
| 1 | 162 | 649 |
| 2 | 407 | 602 |
| 3 | 1505 | 597 |
| 4 | 4708 | 597 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(*.f64 9/256 (pow.f64 x 6)) |
(+.f64 (*.f64 -3/64 (pow.f64 x 5)) (*.f64 9/256 (pow.f64 x 6))) |
(+.f64 (*.f64 -3/64 (pow.f64 x 5)) (+.f64 (*.f64 13/64 (pow.f64 x 4)) (*.f64 9/256 (pow.f64 x 6)))) |
(+.f64 (*.f64 -3/64 (pow.f64 x 5)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 13/64 (pow.f64 x 4)) (*.f64 9/256 (pow.f64 x 6))))) |
(*.f64 9/256 (pow.f64 x 6)) |
(+.f64 (*.f64 -3/64 (pow.f64 x 5)) (*.f64 9/256 (pow.f64 x 6))) |
(+.f64 (*.f64 -3/64 (pow.f64 x 5)) (+.f64 (*.f64 13/64 (pow.f64 x 4)) (*.f64 9/256 (pow.f64 x 6)))) |
(+.f64 (*.f64 -3/64 (pow.f64 x 5)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 13/64 (pow.f64 x 4)) (*.f64 9/256 (pow.f64 x 6))))) |
(*.f64 1/8 x) |
(+.f64 (*.f64 1/8 x) (*.f64 -3/16 (pow.f64 x 2))) |
(+.f64 (*.f64 1/8 x) (*.f64 -3/16 (pow.f64 x 2))) |
(+.f64 (*.f64 1/8 x) (*.f64 -3/16 (pow.f64 x 2))) |
(*.f64 -3/16 (pow.f64 x 2)) |
(+.f64 (*.f64 1/8 x) (*.f64 -3/16 (pow.f64 x 2))) |
(+.f64 (*.f64 1/8 x) (*.f64 -3/16 (pow.f64 x 2))) |
(+.f64 (*.f64 1/8 x) (*.f64 -3/16 (pow.f64 x 2))) |
(*.f64 -3/16 (pow.f64 x 2)) |
(+.f64 (*.f64 1/8 x) (*.f64 -3/16 (pow.f64 x 2))) |
(+.f64 (*.f64 1/8 x) (*.f64 -3/16 (pow.f64 x 2))) |
(+.f64 (*.f64 1/8 x) (*.f64 -3/16 (pow.f64 x 2))) |
(*.f64 -1/2 x) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -1/2 x)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -3/16 (pow.f64 x 3)) (*.f64 -1/2 x))) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -3/16 (pow.f64 x 3)) (*.f64 -1/2 x))) |
(*.f64 -3/16 (pow.f64 x 3)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -3/16 (pow.f64 x 3))) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -3/16 (pow.f64 x 3)) (*.f64 -1/2 x))) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -3/16 (pow.f64 x 3)) (*.f64 -1/2 x))) |
(*.f64 -3/16 (pow.f64 x 3)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -3/16 (pow.f64 x 3))) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -3/16 (pow.f64 x 3)) (*.f64 -1/2 x))) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -3/16 (pow.f64 x 3)) (*.f64 -1/2 x))) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 (+.f64 1/8 (*.f64 -3/16 x)) x) 1/2) x)) 2)) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 (+.f64 1/8 (*.f64 -3/16 x)) x) 1/2) x)) 2)) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 (+.f64 1/8 (*.f64 -3/16 x)) x) 1/2) x)) 2)) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 (+.f64 1/8 (*.f64 -3/16 x)) x) 1/2) x)) 2)) |
(atan.f64 (pow.f64 (-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) 1) (+.f64 (*.f64 3/16 (pow.f64 x 3)) (*.f64 1/2 x))) 2)) |
(atan.f64 (pow.f64 (-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) 1) (+.f64 (*.f64 3/16 (pow.f64 x 3)) (*.f64 1/2 x))) 2)) |
(atan.f64 (pow.f64 (-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) 1) (+.f64 (*.f64 3/16 (pow.f64 x 3)) (*.f64 1/2 x))) 2)) |
(atan.f64 (pow.f64 (-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) 1) (+.f64 (*.f64 3/16 (pow.f64 x 3)) (*.f64 1/2 x))) 2)) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 (+.f64 1/8 (*.f64 -3/16 x)) x) 1/2) x)) 2)) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 (+.f64 1/8 (*.f64 -3/16 x)) x) 1/2) x)) 2)) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 (+.f64 1/8 (*.f64 -3/16 x)) x) 1/2) x)) 2)) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 (+.f64 1/8 (*.f64 -3/16 x)) x) 1/2) x)) 2)) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (neg.f64 x)) |
(-.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(+.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))) |
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) |
(+.f64 1 (*.f64 x (fma.f64 x 1/2 -1))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(+.f64 (fma.f64 -1/2 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) (-.f64 1 x)) |
(fma.f64 -1/2 (pow.f64 x 3) (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) |
(fma.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2)) (-.f64 1 x)) |
(fma.f64 x (*.f64 x (neg.f64 (fma.f64 x 1/2 -1/2))) (-.f64 1 x)) |
(*.f64 9/256 (pow.f64 x 6)) |
(+.f64 (*.f64 -3/64 (pow.f64 x 5)) (*.f64 9/256 (pow.f64 x 6))) |
(fma.f64 -3/64 (pow.f64 x 5) (*.f64 9/256 (pow.f64 x 6))) |
(fma.f64 9/256 (pow.f64 x 6) (*.f64 -3/64 (pow.f64 x 5))) |
(+.f64 (*.f64 -3/64 (pow.f64 x 5)) (+.f64 (*.f64 13/64 (pow.f64 x 4)) (*.f64 9/256 (pow.f64 x 6)))) |
(fma.f64 -3/64 (pow.f64 x 5) (fma.f64 13/64 (pow.f64 x 4) (*.f64 9/256 (pow.f64 x 6)))) |
(fma.f64 -3/64 (pow.f64 x 5) (fma.f64 9/256 (pow.f64 x 6) (*.f64 13/64 (pow.f64 x 4)))) |
(fma.f64 9/256 (pow.f64 x 6) (fma.f64 13/64 (pow.f64 x 4) (*.f64 -3/64 (pow.f64 x 5)))) |
(fma.f64 9/256 (pow.f64 x 6) (fma.f64 -3/64 (pow.f64 x 5) (*.f64 13/64 (pow.f64 x 4)))) |
(+.f64 (*.f64 -3/64 (pow.f64 x 5)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 13/64 (pow.f64 x 4)) (*.f64 9/256 (pow.f64 x 6))))) |
(fma.f64 -3/64 (pow.f64 x 5) (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 13/64 (pow.f64 x 4) (*.f64 9/256 (pow.f64 x 6))))) |
(fma.f64 -3/64 (pow.f64 x 5) (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 9/256 (pow.f64 x 6) (*.f64 13/64 (pow.f64 x 4))))) |
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 9/256 (pow.f64 x 6) (fma.f64 13/64 (pow.f64 x 4) (*.f64 -3/64 (pow.f64 x 5))))) |
(fma.f64 -3/64 (pow.f64 x 5) (fma.f64 9/256 (pow.f64 x 6) (*.f64 (pow.f64 x 3) (+.f64 (*.f64 x 13/64) -1/2)))) |
(*.f64 9/256 (pow.f64 x 6)) |
(+.f64 (*.f64 -3/64 (pow.f64 x 5)) (*.f64 9/256 (pow.f64 x 6))) |
(fma.f64 -3/64 (pow.f64 x 5) (*.f64 9/256 (pow.f64 x 6))) |
(fma.f64 9/256 (pow.f64 x 6) (*.f64 -3/64 (pow.f64 x 5))) |
(+.f64 (*.f64 -3/64 (pow.f64 x 5)) (+.f64 (*.f64 13/64 (pow.f64 x 4)) (*.f64 9/256 (pow.f64 x 6)))) |
(fma.f64 -3/64 (pow.f64 x 5) (fma.f64 13/64 (pow.f64 x 4) (*.f64 9/256 (pow.f64 x 6)))) |
(fma.f64 -3/64 (pow.f64 x 5) (fma.f64 9/256 (pow.f64 x 6) (*.f64 13/64 (pow.f64 x 4)))) |
(fma.f64 9/256 (pow.f64 x 6) (fma.f64 13/64 (pow.f64 x 4) (*.f64 -3/64 (pow.f64 x 5)))) |
(fma.f64 9/256 (pow.f64 x 6) (fma.f64 -3/64 (pow.f64 x 5) (*.f64 13/64 (pow.f64 x 4)))) |
(+.f64 (*.f64 -3/64 (pow.f64 x 5)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 13/64 (pow.f64 x 4)) (*.f64 9/256 (pow.f64 x 6))))) |
(fma.f64 -3/64 (pow.f64 x 5) (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 13/64 (pow.f64 x 4) (*.f64 9/256 (pow.f64 x 6))))) |
(fma.f64 -3/64 (pow.f64 x 5) (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 9/256 (pow.f64 x 6) (*.f64 13/64 (pow.f64 x 4))))) |
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 9/256 (pow.f64 x 6) (fma.f64 13/64 (pow.f64 x 4) (*.f64 -3/64 (pow.f64 x 5))))) |
(fma.f64 -3/64 (pow.f64 x 5) (fma.f64 9/256 (pow.f64 x 6) (*.f64 (pow.f64 x 3) (+.f64 (*.f64 x 13/64) -1/2)))) |
(*.f64 1/8 x) |
(*.f64 x 1/8) |
(+.f64 (*.f64 1/8 x) (*.f64 -3/16 (pow.f64 x 2))) |
(fma.f64 1/8 x (*.f64 (*.f64 x x) -3/16)) |
(*.f64 x (fma.f64 x -3/16 1/8)) |
(+.f64 (*.f64 1/8 x) (*.f64 -3/16 (pow.f64 x 2))) |
(fma.f64 1/8 x (*.f64 (*.f64 x x) -3/16)) |
(*.f64 x (fma.f64 x -3/16 1/8)) |
(+.f64 (*.f64 1/8 x) (*.f64 -3/16 (pow.f64 x 2))) |
(fma.f64 1/8 x (*.f64 (*.f64 x x) -3/16)) |
(*.f64 x (fma.f64 x -3/16 1/8)) |
(*.f64 -3/16 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -3/16) |
(*.f64 x (*.f64 x -3/16)) |
(+.f64 (*.f64 1/8 x) (*.f64 -3/16 (pow.f64 x 2))) |
(fma.f64 1/8 x (*.f64 (*.f64 x x) -3/16)) |
(*.f64 x (fma.f64 x -3/16 1/8)) |
(+.f64 (*.f64 1/8 x) (*.f64 -3/16 (pow.f64 x 2))) |
(fma.f64 1/8 x (*.f64 (*.f64 x x) -3/16)) |
(*.f64 x (fma.f64 x -3/16 1/8)) |
(+.f64 (*.f64 1/8 x) (*.f64 -3/16 (pow.f64 x 2))) |
(fma.f64 1/8 x (*.f64 (*.f64 x x) -3/16)) |
(*.f64 x (fma.f64 x -3/16 1/8)) |
(*.f64 -3/16 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -3/16) |
(*.f64 x (*.f64 x -3/16)) |
(+.f64 (*.f64 1/8 x) (*.f64 -3/16 (pow.f64 x 2))) |
(fma.f64 1/8 x (*.f64 (*.f64 x x) -3/16)) |
(*.f64 x (fma.f64 x -3/16 1/8)) |
(+.f64 (*.f64 1/8 x) (*.f64 -3/16 (pow.f64 x 2))) |
(fma.f64 1/8 x (*.f64 (*.f64 x x) -3/16)) |
(*.f64 x (fma.f64 x -3/16 1/8)) |
(+.f64 (*.f64 1/8 x) (*.f64 -3/16 (pow.f64 x 2))) |
(fma.f64 1/8 x (*.f64 (*.f64 x x) -3/16)) |
(*.f64 x (fma.f64 x -3/16 1/8)) |
(*.f64 -1/2 x) |
(*.f64 x -1/2) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -1/2 x)) |
(fma.f64 1/8 (*.f64 x x) (*.f64 x -1/2)) |
(fma.f64 x -1/2 (*.f64 x (*.f64 x 1/8))) |
(*.f64 x (+.f64 -1/2 (*.f64 x 1/8))) |
(*.f64 x (fma.f64 x 1/8 -1/2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -3/16 (pow.f64 x 3)) (*.f64 -1/2 x))) |
(fma.f64 1/8 (*.f64 x x) (fma.f64 -3/16 (pow.f64 x 3) (*.f64 x -1/2))) |
(fma.f64 (*.f64 x x) 1/8 (fma.f64 (pow.f64 x 3) -3/16 (*.f64 x -1/2))) |
(*.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -3/16 (pow.f64 x 3)) (*.f64 -1/2 x))) |
(fma.f64 1/8 (*.f64 x x) (fma.f64 -3/16 (pow.f64 x 3) (*.f64 x -1/2))) |
(fma.f64 (*.f64 x x) 1/8 (fma.f64 (pow.f64 x 3) -3/16 (*.f64 x -1/2))) |
(*.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2)) |
(*.f64 -3/16 (pow.f64 x 3)) |
(*.f64 (pow.f64 x 3) -3/16) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -3/16 (pow.f64 x 3))) |
(fma.f64 1/8 (*.f64 x x) (*.f64 (pow.f64 x 3) -3/16)) |
(fma.f64 (*.f64 x x) 1/8 (*.f64 (pow.f64 x 3) -3/16)) |
(*.f64 x (*.f64 x (fma.f64 x -3/16 1/8))) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -3/16 (pow.f64 x 3)) (*.f64 -1/2 x))) |
(fma.f64 1/8 (*.f64 x x) (fma.f64 -3/16 (pow.f64 x 3) (*.f64 x -1/2))) |
(fma.f64 (*.f64 x x) 1/8 (fma.f64 (pow.f64 x 3) -3/16 (*.f64 x -1/2))) |
(*.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -3/16 (pow.f64 x 3)) (*.f64 -1/2 x))) |
(fma.f64 1/8 (*.f64 x x) (fma.f64 -3/16 (pow.f64 x 3) (*.f64 x -1/2))) |
(fma.f64 (*.f64 x x) 1/8 (fma.f64 (pow.f64 x 3) -3/16 (*.f64 x -1/2))) |
(*.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2)) |
(*.f64 -3/16 (pow.f64 x 3)) |
(*.f64 (pow.f64 x 3) -3/16) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -3/16 (pow.f64 x 3))) |
(fma.f64 1/8 (*.f64 x x) (*.f64 (pow.f64 x 3) -3/16)) |
(fma.f64 (*.f64 x x) 1/8 (*.f64 (pow.f64 x 3) -3/16)) |
(*.f64 x (*.f64 x (fma.f64 x -3/16 1/8))) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -3/16 (pow.f64 x 3)) (*.f64 -1/2 x))) |
(fma.f64 1/8 (*.f64 x x) (fma.f64 -3/16 (pow.f64 x 3) (*.f64 x -1/2))) |
(fma.f64 (*.f64 x x) 1/8 (fma.f64 (pow.f64 x 3) -3/16 (*.f64 x -1/2))) |
(*.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -3/16 (pow.f64 x 3)) (*.f64 -1/2 x))) |
(fma.f64 1/8 (*.f64 x x) (fma.f64 -3/16 (pow.f64 x 3) (*.f64 x -1/2))) |
(fma.f64 (*.f64 x x) 1/8 (fma.f64 (pow.f64 x 3) -3/16 (*.f64 x -1/2))) |
(*.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2)) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 (+.f64 1/8 (*.f64 -3/16 x)) x) 1/2) x)) 2)) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 x (fma.f64 (+.f64 1/8 (*.f64 x -3/16)) x -1/2))) 2)) |
(atan.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) 2)) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 (+.f64 1/8 (*.f64 -3/16 x)) x) 1/2) x)) 2)) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 x (fma.f64 (+.f64 1/8 (*.f64 x -3/16)) x -1/2))) 2)) |
(atan.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) 2)) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 (+.f64 1/8 (*.f64 -3/16 x)) x) 1/2) x)) 2)) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 x (fma.f64 (+.f64 1/8 (*.f64 x -3/16)) x -1/2))) 2)) |
(atan.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) 2)) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 (+.f64 1/8 (*.f64 -3/16 x)) x) 1/2) x)) 2)) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 x (fma.f64 (+.f64 1/8 (*.f64 x -3/16)) x -1/2))) 2)) |
(atan.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) 2)) |
(atan.f64 (pow.f64 (-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) 1) (+.f64 (*.f64 3/16 (pow.f64 x 3)) (*.f64 1/2 x))) 2)) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 x (fma.f64 (+.f64 1/8 (*.f64 x -3/16)) x -1/2))) 2)) |
(atan.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) 2)) |
(atan.f64 (pow.f64 (-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) 1) (+.f64 (*.f64 3/16 (pow.f64 x 3)) (*.f64 1/2 x))) 2)) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 x (fma.f64 (+.f64 1/8 (*.f64 x -3/16)) x -1/2))) 2)) |
(atan.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) 2)) |
(atan.f64 (pow.f64 (-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) 1) (+.f64 (*.f64 3/16 (pow.f64 x 3)) (*.f64 1/2 x))) 2)) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 x (fma.f64 (+.f64 1/8 (*.f64 x -3/16)) x -1/2))) 2)) |
(atan.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) 2)) |
(atan.f64 (pow.f64 (-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) 1) (+.f64 (*.f64 3/16 (pow.f64 x 3)) (*.f64 1/2 x))) 2)) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 x (fma.f64 (+.f64 1/8 (*.f64 x -3/16)) x -1/2))) 2)) |
(atan.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) 2)) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 (+.f64 1/8 (*.f64 -3/16 x)) x) 1/2) x)) 2)) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 x (fma.f64 (+.f64 1/8 (*.f64 x -3/16)) x -1/2))) 2)) |
(atan.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) 2)) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 (+.f64 1/8 (*.f64 -3/16 x)) x) 1/2) x)) 2)) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 x (fma.f64 (+.f64 1/8 (*.f64 x -3/16)) x -1/2))) 2)) |
(atan.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) 2)) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 (+.f64 1/8 (*.f64 -3/16 x)) x) 1/2) x)) 2)) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 x (fma.f64 (+.f64 1/8 (*.f64 x -3/16)) x -1/2))) 2)) |
(atan.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) 2)) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 (+.f64 1/8 (*.f64 -3/16 x)) x) 1/2) x)) 2)) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 x (fma.f64 (+.f64 1/8 (*.f64 x -3/16)) x -1/2))) 2)) |
(atan.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x -3/16 1/8) -1/2) 1) 2)) |
Compiled 6332 to 4998 computations (21.1% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 276 | 0 | 276 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 276 | 7 | 283 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 2 (log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) |
| ✓ | 1.3b | (*.f64 2 (atan.f64 1)) |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6) 3))) |
| ✓ | 0.5b | (*.f64 2 (atan.f64 (-.f64 1 x))) |
| ✓ | 0.1b | (*.f64 2 (atan.f64 (pow.f64 (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 1/8 (*.f64 x -3/16)))))) 2))) |
| ✓ | 0.5b | (*.f64 2 (atan.f64 (pow.f64 (+.f64 1 (*.f64 -1/3 x)) 3))) |
Compiled 83 to 72 computations (13.3% saved)
| Inputs |
|---|
(*.f64 2 (atan.f64 1)) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 (pow.f64 (+.f64 1 (*.f64 -1/3 x)) 3))) |
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(*.f64 2 (atan.f64 (pow.f64 (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 1/8 (*.f64 x -3/16)))))) 2))) |
(*.f64 2 (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6) 3))) |
(*.f64 2 (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2))) |
(*.f64 2 (log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) |
| Outputs |
|---|
(*.f64 2 (log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) |
6 calls:
| 16.0ms | (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| 6.0ms | x |
| 2.0ms | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| 2.0ms | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| 2.0ms | (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| 0.0b | 1 | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| 0.0b | 1 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
| 0.0b | 1 | (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| 0.0b | 1 | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
Compiled 155 to 129 computations (16.8% saved)
| Inputs |
|---|
(*.f64 2 (atan.f64 1)) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 (pow.f64 (+.f64 1 (*.f64 -1/3 x)) 3))) |
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(*.f64 2 (atan.f64 (pow.f64 (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 1/8 (*.f64 x -3/16)))))) 2))) |
(*.f64 2 (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6) 3))) |
(*.f64 2 (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2))) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
9 calls:
| 22.0ms | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
| 6.0ms | x |
| 3.0ms | (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| 2.0ms | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| 2.0ms | (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| 0.0b | 1 | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| 0.0b | 1 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
| 0.0b | 1 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
| 0.0b | 1 | (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| 0.0b | 1 | (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| 0.0b | 1 | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
| 0.0b | 1 | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
Compiled 169 to 139 computations (17.8% saved)
| Inputs |
|---|
(*.f64 2 (atan.f64 1)) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 (pow.f64 (+.f64 1 (*.f64 -1/3 x)) 3))) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (pow.f64 (+.f64 1 (*.f64 -1/3 x)) 3))) |
1 calls:
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.5b | 1 | x |
Compiled 23 to 20 computations (13% saved)
Total -0.8b remaining (-150.7%)
Threshold costs -0.8b (-150.7%)
| Inputs |
|---|
(*.f64 2 (atan.f64 1)) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (-.f64 1 x))) |
1 calls:
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.5b | 1 | x |
Compiled 13 to 11 computations (15.4% saved)
| 1× | egg-herbie |
| 7× | *-commutative_binary64 |
| 4× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 68 |
| 1 | 43 | 68 |
| 2 | 46 | 68 |
| 3 | 48 | 68 |
| 4 | 49 | 68 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(*.f64 2 (log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) |
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
(*.f64 2 (atan.f64 (pow.f64 (+.f64 1 (*.f64 -1/3 x)) 3))) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 1)) |
| Outputs |
|---|
(*.f64 2 (log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) |
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(*.f64 2 (atan.f64 (pow.f64 (+.f64 1 (*.f64 -1/3 x)) 3))) |
(*.f64 2 (atan.f64 (pow.f64 (+.f64 1 (*.f64 x -1/3)) 3))) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 1)) |
Compiled 49 to 43 computations (12.2% saved)
| 1× | egg-herbie |
| 396× | fma-neg_binary64 |
| 375× | fma-def_binary64 |
| 264× | div-sub_binary64 |
| 121× | times-frac_binary64 |
| 100× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 17 |
| 1 | 19 | 17 |
| 2 | 25 | 17 |
| 3 | 35 | 17 |
| 4 | 58 | 17 |
| 5 | 82 | 17 |
| 6 | 119 | 17 |
| 7 | 191 | 17 |
| 8 | 357 | 17 |
| 9 | 584 | 17 |
| 10 | 796 | 17 |
| 11 | 1157 | 17 |
| 12 | 1548 | 17 |
| 13 | 1958 | 17 |
| 14 | 2199 | 17 |
| 1× | saturated |
Compiled 49 to 41 computations (16.3% saved)
Compiled 45 to 39 computations (13.3% saved)
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