Time bar (total: 5.8s)
| 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)
| 1.4s | 8256× | body | 256 | valid |
| 1.0ms | 5× | 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)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 230 | 5 | 235 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 230 | 6 | 236 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.8b | (*.f64 2 (atan.f64 (-.f64 1 x))) |
| ▶ | 0.0b | (*.f64 2 (atan.f64 (log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) |
| ▶ | 0.0b | (*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x))))) |
| ▶ | 0.0b | (*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))) |
| ▶ | 0.0b | (*.f64 2 (atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2))) |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
Compiled 136 to 116 computations (14.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x))) |
| ✓ | 0.0b | (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x)))) |
| ✓ | 0.0b | (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x)) |
| ✓ | 0.0b | (/.f64 1 (+.f64 1 x)) |
Compiled 58 to 46 computations (20.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 1 (+.f64 1 x)) |
| 1.0ms | x | @ | 0 | (/.f64 1 (+.f64 1 x)) |
| 1.0ms | x | @ | -inf | (/.f64 1 (+.f64 1 x)) |
| 1.0ms | x | @ | -inf | (sqrt.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x))) |
| 1.0ms | x | @ | -inf | (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 987× | pow1_binary64 |
| 918× | log1p-expm1-u_binary64 |
| 918× | expm1-log1p-u_binary64 |
| 917× | add-log-exp_binary64 |
| 96× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 43 |
| 1 | 194 | 43 |
| 2 | 2553 | 43 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (+.f64 1 x)) |
(*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x)) |
(atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x)))) |
(sqrt.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (cbrt.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 x) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x 3)) (*.f64 (+.f64 1 x) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (+.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 x)) (+.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 -1 (neg.f64 x)) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 1 (*.f64 x x))) (*.f64 (+.f64 -1 (neg.f64 x)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) 1) (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) 1) (pow.f64 (+.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) -1) (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) -1) (*.f64 (+.f64 1 x) (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 x) 1) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 1 x)) (+.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 x))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) -1) (+.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.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))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3) (pow.f64 (-.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (/.f64 1 (+.f64 1 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 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)))) 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 -.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 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (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))) (cbrt.f64 (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 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 (-.f64 1 x)))))) (#(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 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2))))) (#(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 pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/2)))) (#(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 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)))) (#(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 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 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2)))))) |
| 1× | egg-herbie |
| 576× | associate-/l/_binary64 |
| 534× | associate-*l/_binary64 |
| 444× | fma-neg_binary64 |
| 357× | cancel-sign-sub-inv_binary64 |
| 344× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 98 | 798 |
| 1 | 278 | 773 |
| 2 | 876 | 677 |
| 3 | 3654 | 655 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.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 (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 -1 x)) |
(-.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) |
(+.f64 (-.f64 1 x) (*.f64 x x)) |
(+.f64 1 (-.f64 (*.f64 x x) x)) |
(-.f64 (fma.f64 x x 1) x) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 (-.f64 1 x) (*.f64 x x))) |
(-.f64 (+.f64 1 (-.f64 (*.f64 x x) x)) (pow.f64 x 3)) |
(-.f64 (-.f64 (fma.f64 x x 1) x) (pow.f64 x 3)) |
(-.f64 1 (fma.f64 x (-.f64 1 x) (pow.f64 x 3))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))) |
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)) |
(fma.f64 x (*.f64 x 2) (fma.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)) |
(+.f64 1 (*.f64 (*.f64 x -2) (-.f64 (fma.f64 x x 1) x))) |
-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 -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 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (+.f64 1 (/.f64 2 (*.f64 x x)))) |
(+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (+.f64 -1 (/.f64 -2 (*.f64 x x)))) |
(+.f64 -1 (+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))))) |
-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 -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 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (+.f64 1 (/.f64 2 (*.f64 x x)))) |
(+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (+.f64 -1 (/.f64 -2 (*.f64 x x)))) |
(+.f64 -1 (+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x 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 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 (*.f64 x x) 1/2) x)) |
(-.f64 (fma.f64 (*.f64 x x) 1/2 1) x) |
(fma.f64 (*.f64 x 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 (*.f64 x x) 1/2) x))) |
(fma.f64 (pow.f64 x 3) -1/2 (-.f64 (fma.f64 (*.f64 x x) 1/2 1) x)) |
(fma.f64 x (*.f64 (*.f64 x -1/2) (+.f64 -1 x)) (-.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 (*.f64 x x) (sqrt.f64 -1))) (sqrt.f64 -1))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 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 (/.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 (*.f64 x x) (sqrt.f64 -1))))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))) |
(+.f64 (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (+.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 (*.f64 x x) (sqrt.f64 -1))) (sqrt.f64 -1))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 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 (/.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 (*.f64 x x) (sqrt.f64 -1))))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))) |
(+.f64 (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (+.f64 -1/2 (/.f64 1/2 x))))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (atan.f64 (-.f64 1 x)) |
Compiled 17 to 13 computations (23.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (atan.f64 (-.f64 1 x)) |
| 0.0ms | x | @ | -inf | (atan.f64 (-.f64 1 x)) |
| 0.0ms | x | @ | inf | (atan.f64 (-.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 508× | pow1_binary64 |
| 494× | add-sqr-sqrt_binary64 |
| 472× | add-log-exp_binary64 |
| 472× | log1p-expm1-u_binary64 |
| 472× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 6 |
| 1 | 102 | 6 |
| 2 | 1238 | 6 |
| 1× | node limit |
| Inputs |
|---|
(atan.f64 (-.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (-.f64 1 x)))))))) |
| 1× | egg-herbie |
| 7× | sub-neg_binary64 |
| 6× | fma-def_binary64 |
| 4× | +-commutative_binary64 |
| 3× | associate-+l-_binary64 |
| 3× | associate--r+_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 32 |
| 1 | 12 | 24 |
| 2 | 16 | 24 |
| 3 | 20 | 24 |
| 4 | 27 | 24 |
| 5 | 37 | 24 |
| 6 | 48 | 24 |
| 7 | 60 | 24 |
| 8 | 63 | 24 |
| 1× | saturated |
| Inputs |
|---|
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
| Outputs |
|---|
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) |
| ✓ | 0.0b | (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2) |
| ✓ | 0.0b | (/.f64 (+.f64 1 x) (-.f64 1 x)) |
Compiled 49 to 38 computations (22.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2) |
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 1 x) (-.f64 1 x)) |
| 0.0ms | x | @ | -inf | (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2) |
| 0.0ms | x | @ | inf | (atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) |
| 0.0ms | x | @ | 0 | (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2) |
| 1× | batch-egg-rewrite |
| 441× | log-prod_binary64 |
| 347× | exp-prod_binary64 |
| 277× | prod-exp_binary64 |
| 252× | pow2_binary64 |
| 243× | pow-prod-down_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 38 |
| 1 | 199 | 38 |
| 2 | 2604 | 36 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 1 x) (-.f64 1 x)) |
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2) |
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 1 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1 x -1) (/.f64 1 (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 x)) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 x) -1/2) (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 x) (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.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))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log1p.f64 x) 1) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (*.f64 (log1p.f64 (neg.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log1p.f64 x) 1) (*.f64 (log1p.f64 (neg.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 x) 1) (neg.f64 (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (*.f64 (log1p.f64 x) 1))))))) |
((#(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 (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 (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 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) -1) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x 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 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1))))) (#(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 (*.f64 2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.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)) -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/4 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1/4) (*.f64 -1/4 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 -1/4 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1/4) (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1/4))))))) |
((#(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 (E.f64) (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(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 pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)) (cbrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (sqrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(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 exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1) 1)))))) |
| 1× | egg-herbie |
| 434× | associate-*l*_binary64 |
| 381× | div-sub_binary64 |
| 372× | unsub-neg_binary64 |
| 368× | associate-/l*_binary64 |
| 365× | associate-/r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 419 |
| 1 | 171 | 385 |
| 2 | 493 | 353 |
| 3 | 1884 | 348 |
| 4 | 6981 | 348 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 2 x) 1) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)) |
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))) |
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 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 -1 (/.f64 (sqrt.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 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))) |
(atan.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 -1 x)) (+.f64 1 (*.f64 -1 x))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 -1 x)) (+.f64 1 (*.f64 -1 x))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 -1 x)) (+.f64 1 (*.f64 -1 x))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 -1 x)) (+.f64 1 (*.f64 -1 x))) -1/2)) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 2 x) 1) |
(fma.f64 2 x 1) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)) |
(fma.f64 2 (*.f64 x x) (fma.f64 2 x 1)) |
(fma.f64 2 (fma.f64 x x x) 1) |
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))) |
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 2 x 1))) |
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (fma.f64 x x x) 1)) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 -1 (neg.f64 (/.f64 2 x))) |
(+.f64 -1 (/.f64 -2 x)) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))) |
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))) |
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 (/.f64 -2 x) x))) |
(+.f64 -1 (-.f64 (/.f64 -2 x) (/.f64 2 (*.f64 x x)))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))) |
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))) |
(-.f64 -1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 -1 (+.f64 (/.f64 (/.f64 -2 x) x) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))) |
(+.f64 -1 (-.f64 (/.f64 -2 x) (*.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 2 x) 2)))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 -1 (neg.f64 (/.f64 2 x))) |
(+.f64 -1 (/.f64 -2 x)) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))) |
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))) |
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 (/.f64 -2 x) x))) |
(+.f64 -1 (-.f64 (/.f64 -2 x) (/.f64 2 (*.f64 x x)))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))) |
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))) |
(-.f64 -1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 -1 (+.f64 (/.f64 (/.f64 -2 x) x) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))) |
(+.f64 -1 (-.f64 (/.f64 -2 x) (*.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 2 x) 2)))) |
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))) |
(fma.f64 x (*.f64 x 1/2) (-.f64 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 (pow.f64 x 3) -1/2 (*.f64 x (*.f64 x 1/2))) (-.f64 1 x)) |
(fma.f64 (pow.f64 x 3) -1/2 (fma.f64 x (*.f64 x 1/2) (-.f64 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 (-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x)) (*.f64 (/.f64 1/2 x) (/.f64 (sqrt.f64 -1) x))) |
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (/.f64 1/2 x) -1))) |
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -1 (/.f64 1/2 x)))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))) |
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (fma.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (neg.f64 (/.f64 (sqrt.f64 -1) x))))) |
(+.f64 (sqrt.f64 -1) (-.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (/.f64 (sqrt.f64 -1) x))) |
(+.f64 (sqrt.f64 -1) (-.f64 (*.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (+.f64 1/2 (/.f64 -1/2 x))) (/.f64 (sqrt.f64 -1) x))) |
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -1 (+.f64 (/.f64 -1/2 (*.f64 x x)) (/.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 (-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x)) (*.f64 (/.f64 1/2 x) (/.f64 (sqrt.f64 -1) x))) |
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (/.f64 1/2 x) -1))) |
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -1 (/.f64 1/2 x)))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))) |
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (fma.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (neg.f64 (/.f64 (sqrt.f64 -1) x))))) |
(+.f64 (sqrt.f64 -1) (-.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (/.f64 (sqrt.f64 -1) x))) |
(+.f64 (sqrt.f64 -1) (-.f64 (*.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (+.f64 1/2 (/.f64 -1/2 x))) (/.f64 (sqrt.f64 -1) x))) |
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -1 (+.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 1/2 x))))) |
(atan.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 -1 x)) (+.f64 1 (*.f64 -1 x))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 1 (neg.f64 x)) (+.f64 1 (neg.f64 x))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 -1 x)) (+.f64 1 (*.f64 -1 x))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 1 (neg.f64 x)) (+.f64 1 (neg.f64 x))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 -1 x)) (+.f64 1 (*.f64 -1 x))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 1 (neg.f64 x)) (+.f64 1 (neg.f64 x))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 -1 x)) (+.f64 1 (*.f64 -1 x))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 1 (neg.f64 x)) (+.f64 1 (neg.f64 x))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))) |
| ✓ | 0.0b | (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
| ✓ | 0.0b | (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
| 0.0b | (/.f64 (+.f64 1 x) (-.f64 1 x)) |
Compiled 59 to 46 computations (22% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
| 0.0ms | x | @ | inf | (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
| 0.0ms | x | @ | -inf | (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
| 0.0ms | x | @ | 0 | (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
| 0.0ms | x | @ | inf | (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
| 1× | batch-egg-rewrite |
| 460× | log-prod_binary64 |
| 351× | exp-prod_binary64 |
| 279× | pow-prod-down_binary64 |
| 246× | pow2_binary64 |
| 186× | prod-diff_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 44 |
| 1 | 199 | 38 |
| 2 | 2714 | 38 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
(sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))) |
| 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 (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 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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)) 3/2) -1/3)))) (#(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)) 1/6) -3)))) (#(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 (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 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (*.f64 1/4 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1) 1)))))) |
((#(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 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 1)))) (#(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 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(2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 2)) (cbrt.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (sqrt.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.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 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.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 x) (log1p.f64 (neg.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1) 1)))))) |
((#(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 (E.f64) (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(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 pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)) (cbrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (sqrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(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 exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1) 1)))))) |
| 1× | egg-herbie |
| 590× | associate-*l/_binary64 |
| 416× | associate-/l/_binary64 |
| 396× | associate-*r/_binary64 |
| 340× | fma-def_binary64 |
| 301× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 794 |
| 1 | 246 | 724 |
| 2 | 804 | 579 |
| 3 | 3493 | 539 |
| 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 (/.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))))))) |
1 |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))) |
(sqrt.f64 -1) |
(-.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 (sqrt.f64 -1) x))) |
(-.f64 (+.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 1 (*.f64 (sqrt.f64 -1) x))) |
(-.f64 (+.f64 (sqrt.f64 -1) (+.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 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x))) |
(sqrt.f64 -1) |
(-.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 (sqrt.f64 -1) x))) |
(-.f64 (+.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 1 (*.f64 (sqrt.f64 -1) x))) |
(-.f64 (+.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 1 (*.f64 (sqrt.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 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))))) |
| Outputs |
|---|
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 1/2 (*.f64 x x) 1) x) |
(-.f64 (fma.f64 x (*.f64 x 1/2) 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 (-.f64 (fma.f64 -1/2 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) x)) |
(fma.f64 -1/2 (pow.f64 x 3) (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(fma.f64 x (*.f64 (*.f64 x -1/2) (+.f64 x -1)) (-.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 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 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (+.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 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 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (+.f64 -1/2 (/.f64 1/2 x))))) |
1 |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x)) |
(+.f64 x (fma.f64 1/2 (*.f64 x x) 1)) |
(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)) x))) |
(+.f64 1 (fma.f64 1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x))) |
(+.f64 1 (fma.f64 1/2 (+.f64 (*.f64 x x) (pow.f64 x 3)) x)) |
(*.f64 (+.f64 1 x) (fma.f64 x (*.f64 x 1/2) 1)) |
(sqrt.f64 -1) |
(-.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 (sqrt.f64 -1) x))) |
(-.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 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 (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 1 (*.f64 (sqrt.f64 -1) x))) |
(+.f64 (sqrt.f64 -1) (-.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))) |
(+.f64 (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)))) (/.f64 -1 (*.f64 x (sqrt.f64 -1))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (/.f64 (/.f64 -1 x) (sqrt.f64 -1)))) |
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 -1/2 x) -1))) |
(-.f64 (+.f64 (sqrt.f64 -1) (+.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 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x))) |
(+.f64 (sqrt.f64 -1) (-.f64 (*.f64 -1/2 (+.f64 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (/.f64 2 (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))) |
(+.f64 (sqrt.f64 -1) (fma.f64 -1/2 (+.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (/.f64 (/.f64 1 (sqrt.f64 -1)) (pow.f64 x 3))) (/.f64 -1 (*.f64 x (sqrt.f64 -1))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 -1 x) (sqrt.f64 -1))) (*.f64 (/.f64 -1/2 (sqrt.f64 -1)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 -1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 -1/2 x) -1)))) |
(sqrt.f64 -1) |
(-.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 (sqrt.f64 -1) x))) |
(-.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 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 (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 1 (*.f64 (sqrt.f64 -1) x))) |
(+.f64 (sqrt.f64 -1) (-.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))) |
(+.f64 (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)))) (/.f64 -1 (*.f64 x (sqrt.f64 -1))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (/.f64 (/.f64 -1 x) (sqrt.f64 -1)))) |
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 -1/2 x) -1))) |
(-.f64 (+.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 1 (*.f64 (sqrt.f64 -1) x))) |
(+.f64 (sqrt.f64 -1) (-.f64 (*.f64 -1/2 (+.f64 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (/.f64 2 (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))) |
(+.f64 (sqrt.f64 -1) (fma.f64 -1/2 (+.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (/.f64 (/.f64 1 (sqrt.f64 -1)) (pow.f64 x 3))) (/.f64 -1 (*.f64 x (sqrt.f64 -1))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 -1 x) (sqrt.f64 -1))) (*.f64 (/.f64 -1/2 (sqrt.f64 -1)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 -1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 -1/2 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)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (atan.f64 (log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) |
| ✓ | 0.0b | (log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| ✓ | 0.0b | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
| ✓ | 1.0b | (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
Compiled 68 to 53 computations (22.1% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
| 1.0ms | x | @ | -inf | (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
| 1.0ms | x | @ | 0 | (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
| 0.0ms | x | @ | -inf | (log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| 0.0ms | x | @ | inf | (log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| 1× | batch-egg-rewrite |
| 458× | log-prod_binary64 |
| 352× | exp-prod_binary64 |
| 346× | prod-diff_binary64 |
| 267× | pow-prod-down_binary64 |
| 244× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 50 |
| 1 | 197 | 50 |
| 2 | 2638 | 50 |
| 1× | node limit |
| Inputs |
|---|
(expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(atan.f64 (log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (expm1.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 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.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 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))) (/.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (*.f64 (/.f64 x (+.f64 1 x)) 1))) (fma.f64 (neg.f64 (/.f64 x (+.f64 1 x))) 1 (*.f64 (/.f64 x (+.f64 1 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) 2) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (*.f64 (/.f64 x (+.f64 1 x)) 1))) (fma.f64 (neg.f64 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| 1× | egg-herbie |
| 716× | fma-neg_binary64 |
| 589× | fma-def_binary64 |
| 395× | associate-/r*_binary64 |
| 351× | times-frac_binary64 |
| 273× | div-sub_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 154 | 1182 |
| 1 | 459 | 1053 |
| 2 | 1505 | 843 |
| 3 | 6398 | 835 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (E.f64) 1) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (E.f64) x)) (E.f64)) 1) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (E.f64) x)) (+.f64 (E.f64) (*.f64 (E.f64) (pow.f64 x 2)))) 1) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (E.f64) x)) (+.f64 (E.f64) (+.f64 (*.f64 -7/6 (*.f64 (E.f64) (pow.f64 x 3))) (*.f64 (E.f64) (pow.f64 x 2))))) 1) |
(-.f64 (exp.f64 (sqrt.f64 -1)) 1) |
(-.f64 (+.f64 (/.f64 (exp.f64 (sqrt.f64 -1)) (*.f64 (sqrt.f64 -1) x)) (exp.f64 (sqrt.f64 -1))) 1) |
(-.f64 (+.f64 (/.f64 (exp.f64 (sqrt.f64 -1)) (*.f64 (sqrt.f64 -1) x)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (sqrt.f64 -1))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))) (exp.f64 (sqrt.f64 -1))) (pow.f64 x 2)) (exp.f64 (sqrt.f64 -1)))) 1) |
(-.f64 (+.f64 (/.f64 (exp.f64 (sqrt.f64 -1)) (*.f64 (sqrt.f64 -1) x)) (+.f64 (/.f64 (*.f64 (exp.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)))) (sqrt.f64 -1))) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))))) (pow.f64 x 3)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (sqrt.f64 -1))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))) (exp.f64 (sqrt.f64 -1))) (pow.f64 x 2)) (exp.f64 (sqrt.f64 -1))))) 1) |
(-.f64 (exp.f64 (sqrt.f64 -1)) 1) |
(-.f64 (+.f64 (/.f64 (exp.f64 (sqrt.f64 -1)) (*.f64 (sqrt.f64 -1) x)) (exp.f64 (sqrt.f64 -1))) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (sqrt.f64 -1))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))) (exp.f64 (sqrt.f64 -1))) (pow.f64 x 2)) (+.f64 (/.f64 (exp.f64 (sqrt.f64 -1)) (*.f64 (sqrt.f64 -1) x)) (exp.f64 (sqrt.f64 -1)))) 1) |
(-.f64 (+.f64 (/.f64 (exp.f64 (sqrt.f64 -1)) (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.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))))) (sqrt.f64 -1))) (*.f64 1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 1/6 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (exp.f64 (sqrt.f64 -1))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (exp.f64 (sqrt.f64 -1)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (sqrt.f64 -1))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (pow.f64 x 2)) (exp.f64 (sqrt.f64 -1))))) 1) |
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))))) |
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))))))) |
(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))))) |
| Outputs |
|---|
(-.f64 (E.f64) 1) |
(+.f64 (E.f64) -1) |
(expm1.f64 1) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (E.f64) x)) (E.f64)) 1) |
(+.f64 (fma.f64 -1 (*.f64 (E.f64) x) (E.f64)) -1) |
(fma.f64 (neg.f64 (E.f64)) x (expm1.f64 1)) |
(-.f64 (expm1.f64 1) (*.f64 (E.f64) x)) |
(fma.f64 (-.f64 1 x) (E.f64) -1) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (E.f64) x)) (+.f64 (E.f64) (*.f64 (E.f64) (pow.f64 x 2)))) 1) |
(+.f64 (+.f64 (fma.f64 -1 (*.f64 (E.f64) x) (E.f64)) (*.f64 (E.f64) (*.f64 x x))) -1) |
(+.f64 -1 (-.f64 (fma.f64 (E.f64) (*.f64 x x) (E.f64)) (*.f64 (E.f64) x))) |
(+.f64 -1 (*.f64 (E.f64) (-.f64 (fma.f64 x x 1) x))) |
(fma.f64 (E.f64) (-.f64 (fma.f64 x x 1) x) -1) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (E.f64) x)) (+.f64 (E.f64) (+.f64 (*.f64 -7/6 (*.f64 (E.f64) (pow.f64 x 3))) (*.f64 (E.f64) (pow.f64 x 2))))) 1) |
(+.f64 (+.f64 (fma.f64 -1 (*.f64 (E.f64) x) (E.f64)) (fma.f64 -7/6 (*.f64 (E.f64) (pow.f64 x 3)) (*.f64 (E.f64) (*.f64 x x)))) -1) |
(fma.f64 (neg.f64 (E.f64)) x (+.f64 (fma.f64 (E.f64) (*.f64 x x) (*.f64 (pow.f64 x 3) (*.f64 (E.f64) -7/6))) (expm1.f64 1))) |
(+.f64 (*.f64 (E.f64) (-.f64 (fma.f64 x x 1) x)) (-.f64 (*.f64 -7/6 (*.f64 (E.f64) (pow.f64 x 3))) 1)) |
(+.f64 (*.f64 (E.f64) (-.f64 (fma.f64 x x 1) x)) (fma.f64 (pow.f64 x 3) (*.f64 (E.f64) -7/6) -1)) |
(-.f64 (exp.f64 (sqrt.f64 -1)) 1) |
(expm1.f64 (sqrt.f64 -1)) |
(-.f64 (+.f64 (/.f64 (exp.f64 (sqrt.f64 -1)) (*.f64 (sqrt.f64 -1) x)) (exp.f64 (sqrt.f64 -1))) 1) |
(+.f64 (/.f64 (exp.f64 (sqrt.f64 -1)) (*.f64 x (sqrt.f64 -1))) (expm1.f64 (sqrt.f64 -1))) |
(+.f64 (expm1.f64 (sqrt.f64 -1)) (/.f64 (exp.f64 (sqrt.f64 -1)) (*.f64 x (sqrt.f64 -1)))) |
(-.f64 (+.f64 (/.f64 (exp.f64 (sqrt.f64 -1)) (*.f64 (sqrt.f64 -1) x)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (sqrt.f64 -1))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))) (exp.f64 (sqrt.f64 -1))) (pow.f64 x 2)) (exp.f64 (sqrt.f64 -1)))) 1) |
(+.f64 (/.f64 (exp.f64 (sqrt.f64 -1)) (*.f64 x (sqrt.f64 -1))) (-.f64 (+.f64 (exp.f64 (sqrt.f64 -1)) (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (sqrt.f64 -1)) (/.f64 1/2 (pow.f64 (sqrt.f64 -1) 2))) (/.f64 (*.f64 x x) (exp.f64 (sqrt.f64 -1))))) 1)) |
(+.f64 (/.f64 (exp.f64 (sqrt.f64 -1)) (*.f64 x (sqrt.f64 -1))) (+.f64 (*.f64 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (sqrt.f64 -1)) -1/2) (*.f64 x x)) (exp.f64 (sqrt.f64 -1))) (expm1.f64 (sqrt.f64 -1)))) |
(+.f64 (expm1.f64 (sqrt.f64 -1)) (fma.f64 (/.f64 (exp.f64 (sqrt.f64 -1)) x) (/.f64 (+.f64 -1/2 (/.f64 -1/2 (sqrt.f64 -1))) x) (/.f64 (exp.f64 (sqrt.f64 -1)) (*.f64 x (sqrt.f64 -1))))) |
(+.f64 (/.f64 (exp.f64 (sqrt.f64 -1)) (*.f64 x (sqrt.f64 -1))) (fma.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 -1/2 (sqrt.f64 -1))) (*.f64 x x)) 1) (exp.f64 (sqrt.f64 -1)) -1)) |
(-.f64 (+.f64 (/.f64 (exp.f64 (sqrt.f64 -1)) (*.f64 (sqrt.f64 -1) x)) (+.f64 (/.f64 (*.f64 (exp.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)))) (sqrt.f64 -1))) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))))) (pow.f64 x 3)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (sqrt.f64 -1))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))) (exp.f64 (sqrt.f64 -1))) (pow.f64 x 2)) (exp.f64 (sqrt.f64 -1))))) 1) |
(+.f64 (/.f64 (exp.f64 (sqrt.f64 -1)) (*.f64 x (sqrt.f64 -1))) (-.f64 (+.f64 (+.f64 (exp.f64 (sqrt.f64 -1)) (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (sqrt.f64 -1)) (/.f64 1/2 (pow.f64 (sqrt.f64 -1) 2))) (/.f64 (*.f64 x x) (exp.f64 (sqrt.f64 -1))))) (/.f64 (exp.f64 (sqrt.f64 -1)) (/.f64 (pow.f64 x 3) (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)))) (sqrt.f64 -1)) (+.f64 (/.f64 1/6 (pow.f64 (sqrt.f64 -1) 3)) (/.f64 (*.f64 -1/2 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2))) (pow.f64 (sqrt.f64 -1) 2))))))) 1)) |
(+.f64 (/.f64 (exp.f64 (sqrt.f64 -1)) (*.f64 x (sqrt.f64 -1))) (+.f64 (*.f64 (/.f64 (exp.f64 (sqrt.f64 -1)) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (+.f64 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) (sqrt.f64 -1)) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1) (/.f64 -1/6 (sqrt.f64 -1))))) (+.f64 (*.f64 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (sqrt.f64 -1)) -1/2) (*.f64 x x)) (exp.f64 (sqrt.f64 -1))) (expm1.f64 (sqrt.f64 -1))))) |
(+.f64 (/.f64 (exp.f64 (sqrt.f64 -1)) (*.f64 x (sqrt.f64 -1))) (+.f64 (expm1.f64 (sqrt.f64 -1)) (*.f64 (/.f64 (exp.f64 (sqrt.f64 -1)) x) (+.f64 (/.f64 (+.f64 -1/2 (/.f64 -1/2 (sqrt.f64 -1))) x) (/.f64 (+.f64 1/2 (+.f64 (/.f64 -1/6 (sqrt.f64 -1)) (/.f64 1/2 (sqrt.f64 -1)))) (*.f64 x x)))))) |
(-.f64 (exp.f64 (sqrt.f64 -1)) 1) |
(expm1.f64 (sqrt.f64 -1)) |
(-.f64 (+.f64 (/.f64 (exp.f64 (sqrt.f64 -1)) (*.f64 (sqrt.f64 -1) x)) (exp.f64 (sqrt.f64 -1))) 1) |
(+.f64 (/.f64 (exp.f64 (sqrt.f64 -1)) (*.f64 x (sqrt.f64 -1))) (expm1.f64 (sqrt.f64 -1))) |
(+.f64 (expm1.f64 (sqrt.f64 -1)) (/.f64 (exp.f64 (sqrt.f64 -1)) (*.f64 x (sqrt.f64 -1)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (sqrt.f64 -1))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))) (exp.f64 (sqrt.f64 -1))) (pow.f64 x 2)) (+.f64 (/.f64 (exp.f64 (sqrt.f64 -1)) (*.f64 (sqrt.f64 -1) x)) (exp.f64 (sqrt.f64 -1)))) 1) |
(+.f64 (/.f64 (exp.f64 (sqrt.f64 -1)) (*.f64 x (sqrt.f64 -1))) (-.f64 (+.f64 (exp.f64 (sqrt.f64 -1)) (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (sqrt.f64 -1)) (/.f64 1/2 (pow.f64 (sqrt.f64 -1) 2))) (/.f64 (*.f64 x x) (exp.f64 (sqrt.f64 -1))))) 1)) |
(+.f64 (/.f64 (exp.f64 (sqrt.f64 -1)) (*.f64 x (sqrt.f64 -1))) (+.f64 (*.f64 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (sqrt.f64 -1)) -1/2) (*.f64 x x)) (exp.f64 (sqrt.f64 -1))) (expm1.f64 (sqrt.f64 -1)))) |
(+.f64 (expm1.f64 (sqrt.f64 -1)) (fma.f64 (/.f64 (exp.f64 (sqrt.f64 -1)) x) (/.f64 (+.f64 -1/2 (/.f64 -1/2 (sqrt.f64 -1))) x) (/.f64 (exp.f64 (sqrt.f64 -1)) (*.f64 x (sqrt.f64 -1))))) |
(+.f64 (/.f64 (exp.f64 (sqrt.f64 -1)) (*.f64 x (sqrt.f64 -1))) (fma.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 -1/2 (sqrt.f64 -1))) (*.f64 x x)) 1) (exp.f64 (sqrt.f64 -1)) -1)) |
(-.f64 (+.f64 (/.f64 (exp.f64 (sqrt.f64 -1)) (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.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))))) (sqrt.f64 -1))) (*.f64 1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 1/6 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (exp.f64 (sqrt.f64 -1))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (exp.f64 (sqrt.f64 -1)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (sqrt.f64 -1))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (pow.f64 x 2)) (exp.f64 (sqrt.f64 -1))))) 1) |
(+.f64 (+.f64 (/.f64 (exp.f64 (sqrt.f64 -1)) (*.f64 x (sqrt.f64 -1))) (fma.f64 -1 (/.f64 (-.f64 (fma.f64 -1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (/.f64 2 (pow.f64 (sqrt.f64 -1) 2)))) (sqrt.f64 -1)) (*.f64 1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (/.f64 1/6 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 (pow.f64 x 3) (exp.f64 (sqrt.f64 -1)))) (+.f64 (exp.f64 (sqrt.f64 -1)) (/.f64 (exp.f64 (sqrt.f64 -1)) (/.f64 (*.f64 x x) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (sqrt.f64 -1)) (/.f64 1/2 (pow.f64 (sqrt.f64 -1) 2)))))))) -1) |
(+.f64 (/.f64 (exp.f64 (sqrt.f64 -1)) (*.f64 x (sqrt.f64 -1))) (+.f64 (fma.f64 -1 (*.f64 (/.f64 (-.f64 (fma.f64 1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) -1) (/.f64 -1/2 (sqrt.f64 -1))) (/.f64 -1/6 (sqrt.f64 -1))) (pow.f64 x 3)) (exp.f64 (sqrt.f64 -1))) (*.f64 (/.f64 (exp.f64 (sqrt.f64 -1)) (*.f64 x x)) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (sqrt.f64 -1)) -1/2))) (expm1.f64 (sqrt.f64 -1)))) |
(+.f64 (fma.f64 (/.f64 (exp.f64 (sqrt.f64 -1)) x) (/.f64 (+.f64 -1/2 (/.f64 -1/2 (sqrt.f64 -1))) x) (expm1.f64 (sqrt.f64 -1))) (-.f64 (/.f64 (exp.f64 (sqrt.f64 -1)) (*.f64 x (sqrt.f64 -1))) (*.f64 (exp.f64 (sqrt.f64 -1)) (/.f64 (+.f64 (/.f64 -1/2 (sqrt.f64 -1)) (+.f64 -1/2 (/.f64 1/6 (sqrt.f64 -1)))) (pow.f64 x 3))))) |
(+.f64 -1 (+.f64 (/.f64 (exp.f64 (sqrt.f64 -1)) (*.f64 x (sqrt.f64 -1))) (fma.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 -1/2 (sqrt.f64 -1))) (*.f64 x x)) 1) (exp.f64 (sqrt.f64 -1)) (*.f64 (/.f64 (-.f64 1/2 (+.f64 (/.f64 -1/2 (sqrt.f64 -1)) (/.f64 1/6 (sqrt.f64 -1)))) (pow.f64 x 3)) (exp.f64 (sqrt.f64 -1)))))) |
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 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 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (+.f64 1 (/.f64 2 (*.f64 x x)))) |
(+.f64 (+.f64 -1 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x 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 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 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (+.f64 1 (/.f64 2 (*.f64 x x)))) |
(+.f64 (+.f64 -1 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))) (/.f64 2 (pow.f64 x 3))) |
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 (-.f64 1 x) (*.f64 (*.f64 x x) 1/2)) |
(fma.f64 x (*.f64 x 1/2) (-.f64 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 (pow.f64 x 3) -1/2 (*.f64 (*.f64 x x) 1/2)) (-.f64 1 x)) |
(fma.f64 (pow.f64 x 3) -1/2 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) |
(+.f64 (*.f64 x (fma.f64 x 1/2 -1)) (fma.f64 (pow.f64 x 3) -1/2 1)) |
(sqrt.f64 -1) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) |
(+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 (sqrt.f64 -1)) x)) |
(+.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 (/.f64 1 (sqrt.f64 -1)) x) (+.f64 (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 (/.f64 1 (sqrt.f64 -1)) x) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))) (sqrt.f64 -1))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) x) (/.f64 -1/2 (*.f64 (*.f64 x 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 (/.f64 1 (sqrt.f64 -1)) x) (+.f64 (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 (*.f64 x x) (sqrt.f64 -1))) (/.f64 1/2 (/.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)) (+.f64 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1))))) (/.f64 (/.f64 1 (sqrt.f64 -1)) x))) |
(+.f64 (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (+.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) x) (+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))) |
(sqrt.f64 -1) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) |
(+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 (sqrt.f64 -1)) x)) |
(+.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 (/.f64 1 (sqrt.f64 -1)) x) (+.f64 (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 (/.f64 1 (sqrt.f64 -1)) x) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))) (sqrt.f64 -1))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) x) (/.f64 -1/2 (*.f64 (*.f64 x 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 (/.f64 1 (sqrt.f64 -1)) x) (+.f64 (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 (*.f64 x x) (sqrt.f64 -1))) (/.f64 1/2 (/.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)) (+.f64 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1))))) (/.f64 (/.f64 1 (sqrt.f64 -1)) x))) |
(+.f64 (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (+.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) x) (+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -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)))) |
Compiled 17009 to 13683 computations (19.6% saved)
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 814 | 5 | 819 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 4 | 5 |
| Total | 816 | 9 | 825 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.8b | (*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x)))) |
| ▶ | 1.7b | (*.f64 2 (atan.f64 1)) |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x))))) |
| ▶ | 1.6b | (*.f64 2 (atan.f64 (sqrt.f64 (*.f64 1 (-.f64 1 x))))) |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2))) |
| ✓ | 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))) |
| ✓ | 0.8b | (*.f64 2 (atan.f64 (-.f64 1 x))) |
| ▶ | 0.8b | (*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)) |
Compiled 146 to 129 computations (11.6% 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)) | |
| ✓ | 0.1b | (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/6) -3) |
Compiled 65 to 52 computations (20% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/6) -3) |
| 3.0ms | 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 |
| 515× | log-prod_binary64 |
| 302× | pow2_binary64 |
| 281× | pow-prod-down_binary64 |
| 214× | pow-to-exp_binary64 |
| 204× | pow1/3_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 41 |
| 1 | 248 | 41 |
| 2 | 3135 | 39 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/6) -3) |
(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 |
|---|
((#(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 (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 (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 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) -1) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/18) -6) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x 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 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1))))) (#(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 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) -3/2))))) (#(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 x) (log1p.f64 (neg.f64 x)))) 2)))))) |
((#(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 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.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 x) (log1p.f64 (neg.f64 x)))) 2)))))) |
| 1× | egg-herbie |
| 559× | times-frac_binary64 |
| 446× | distribute-rgt-in_binary64 |
| 429× | distribute-lft-in_binary64 |
| 356× | +-commutative_binary64 |
| 340× | *-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 154 | 1057 |
| 1 | 527 | 867 |
| 2 | 2308 | 789 |
| 3 | 7905 | 789 |
| 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 (*.f64 -1 (*.f64 (pow.f64 -1 1/3) (/.f64 (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6))) (pow.f64 x 2)))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 2/9 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -2/3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 (pow.f64 -1 1/6) (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 -1 1/6) (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6))))) (*.f64 1/9 (pow.f64 -1 1/3))) (pow.f64 x 2))) (*.f64 -1/3 (/.f64 (sqrt.f64 -1) x))))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 -1 1/3) (/.f64 (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6))) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (*.f64 (/.f64 (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6)))) (+.f64 (*.f64 19/162 (pow.f64 -1 1/6)) (*.f64 -1/54 (pow.f64 -1 1/6)))) (pow.f64 x 3)) (pow.f64 -1 1/3))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 -1 1/3) (/.f64 (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6))) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 -1 1/6) (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 -1 1/6) (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6))))) (*.f64 1/9 (pow.f64 -1 1/3))) (pow.f64 x 3)))) (+.f64 (*.f64 2/9 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -2/3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 (pow.f64 -1 1/6) (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 -1 1/6) (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6))))) (*.f64 1/9 (pow.f64 -1 1/3))) (pow.f64 x 2))) (*.f64 (pow.f64 -1 1/6) (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 -1 1/6) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6)))) (+.f64 (*.f64 19/162 (pow.f64 -1 1/6)) (*.f64 -1/54 (pow.f64 -1 1/6)))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6)))) (+.f64 (*.f64 19/162 (pow.f64 -1 1/6)) (*.f64 -1/54 (pow.f64 -1 1/6)))) (pow.f64 -1 1/6))) (*.f64 2/3 (*.f64 (pow.f64 -1 1/6) (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6))))))) (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 (*.f64 -1 (*.f64 (pow.f64 -1 1/3) (/.f64 (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6))) (pow.f64 x 2)))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 2/9 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 (pow.f64 -1 1/6) (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 -1 1/6) (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6))))) (*.f64 1/9 (pow.f64 -1 1/3))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (sqrt.f64 -1)) (*.f64 2/3 (sqrt.f64 -1))) x)))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 -1 1/3) (/.f64 (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6))) (pow.f64 x 2)))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 -1 1/6) (+.f64 (*.f64 -2 (*.f64 (pow.f64 -1 1/6) (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6))))) (*.f64 1/9 (pow.f64 -1 1/3))))) (+.f64 (*.f64 (pow.f64 -1 1/6) (+.f64 (*.f64 -2 (*.f64 (pow.f64 -1 1/6) (+.f64 (*.f64 1/3 (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6)))) (+.f64 (*.f64 1/54 (pow.f64 -1 1/6)) (*.f64 -19/162 (pow.f64 -1 1/6)))))) (*.f64 -2/3 (*.f64 (pow.f64 -1 1/6) (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 -1 1/3) (+.f64 (*.f64 -19/162 (pow.f64 -1 1/6)) (+.f64 (*.f64 1/3 (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6)))) (*.f64 1/54 (pow.f64 -1 1/6)))))) (*.f64 -2/3 (*.f64 (pow.f64 -1 1/3) (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6)))))))) (pow.f64 x 3))) (+.f64 (*.f64 2/9 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 (pow.f64 -1 1/6) (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 -1 1/6) (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6))))) (*.f64 1/9 (pow.f64 -1 1/3))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (sqrt.f64 -1)) (*.f64 2/3 (sqrt.f64 -1))) x))))))) |
(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 1/18 (pow.f64 x 2)) (*.f64 1/3 x))) |
(+.f64 (*.f64 19/162 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 1/18 (pow.f64 x 2)) (*.f64 1/3 x)))) |
(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 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x)) |
(+.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))) |
(+.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 (-.f64 (fma.f64 -1/2 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) x)) |
(+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2)))) |
(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 (*.f64 -1 (*.f64 (pow.f64 -1 1/3) (/.f64 (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6))) (pow.f64 x 2)))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 2/9 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -2/3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 (pow.f64 -1 1/6) (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 -1 1/6) (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6))))) (*.f64 1/9 (pow.f64 -1 1/3))) (pow.f64 x 2))) (*.f64 -1/3 (/.f64 (sqrt.f64 -1) x))))))) |
(fma.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) (*.f64 (pow.f64 -1 1/6) -1/18)) (*.f64 x x)) (+.f64 (sqrt.f64 -1) (fma.f64 2/9 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (fma.f64 -2/3 (/.f64 (sqrt.f64 -1) x) (fma.f64 (pow.f64 -1 1/6) (/.f64 (fma.f64 -2 (*.f64 (pow.f64 -1 1/6) (*.f64 (pow.f64 -1 1/6) -1/18)) (*.f64 (cbrt.f64 -1) 1/9)) (*.f64 x x)) (*.f64 (/.f64 (sqrt.f64 -1) x) -1/3)))))) |
(+.f64 (-.f64 (fma.f64 2/9 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (*.f64 (pow.f64 -1 1/6) (/.f64 (fma.f64 -2 (*.f64 (cbrt.f64 -1) -1/18) (*.f64 (cbrt.f64 -1) 1/9)) (*.f64 x x)))) (/.f64 (sqrt.f64 -1) x)) (fma.f64 (neg.f64 (cbrt.f64 -1)) (/.f64 (/.f64 (*.f64 (pow.f64 -1 1/6) -1/18) x) x) (sqrt.f64 -1))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (*.f64 1/18 (pow.f64 (pow.f64 -1 1/6) 3)) (*.f64 x x)) (+.f64 (*.f64 (/.f64 (pow.f64 -1 1/6) (*.f64 x x)) (fma.f64 -2 (*.f64 (cbrt.f64 -1) -1/18) (*.f64 (cbrt.f64 -1) 1/9))) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (/.f64 2/9 x) -1))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 -1 1/3) (/.f64 (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6))) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (*.f64 (/.f64 (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6)))) (+.f64 (*.f64 19/162 (pow.f64 -1 1/6)) (*.f64 -1/54 (pow.f64 -1 1/6)))) (pow.f64 x 3)) (pow.f64 -1 1/3))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 -1 1/3) (/.f64 (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6))) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 -1 1/6) (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 -1 1/6) (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6))))) (*.f64 1/9 (pow.f64 -1 1/3))) (pow.f64 x 3)))) (+.f64 (*.f64 2/9 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -2/3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 (pow.f64 -1 1/6) (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 -1 1/6) (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6))))) (*.f64 1/9 (pow.f64 -1 1/3))) (pow.f64 x 2))) (*.f64 (pow.f64 -1 1/6) (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 -1 1/6) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6)))) (+.f64 (*.f64 19/162 (pow.f64 -1 1/6)) (*.f64 -1/54 (pow.f64 -1 1/6)))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6)))) (+.f64 (*.f64 19/162 (pow.f64 -1 1/6)) (*.f64 -1/54 (pow.f64 -1 1/6)))) (pow.f64 -1 1/6))) (*.f64 2/3 (*.f64 (pow.f64 -1 1/6) (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6))))))) (pow.f64 x 3)))))))))))) |
(fma.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) (*.f64 (pow.f64 -1 1/6) -1/18)) (*.f64 x x)) (fma.f64 -1 (*.f64 (cbrt.f64 -1) (/.f64 (fma.f64 -1/3 (*.f64 (pow.f64 -1 1/6) -1/18) (*.f64 (pow.f64 -1 1/6) 8/81)) (pow.f64 x 3))) (fma.f64 -1/3 (/.f64 (sqrt.f64 -1) x) (fma.f64 2/3 (/.f64 (*.f64 (cbrt.f64 -1) (*.f64 (pow.f64 -1 1/6) -1/18)) (pow.f64 x 3)) (+.f64 (sqrt.f64 -1) (fma.f64 -1/3 (*.f64 (pow.f64 -1 1/6) (/.f64 (fma.f64 -2 (*.f64 (pow.f64 -1 1/6) (*.f64 (pow.f64 -1 1/6) -1/18)) (*.f64 (cbrt.f64 -1) 1/9)) (pow.f64 x 3))) (fma.f64 2/9 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (fma.f64 -2/3 (/.f64 (sqrt.f64 -1) x) (*.f64 (pow.f64 -1 1/6) (+.f64 (/.f64 (fma.f64 -2 (*.f64 (pow.f64 -1 1/6) (*.f64 (pow.f64 -1 1/6) -1/18)) (*.f64 (cbrt.f64 -1) 1/9)) (*.f64 x x)) (/.f64 (fma.f64 -1 (*.f64 (pow.f64 -1 1/6) (fma.f64 -1/3 (*.f64 (pow.f64 -1 1/6) -1/18) (*.f64 (pow.f64 -1 1/6) 8/81))) (fma.f64 -1 (*.f64 (pow.f64 -1 1/6) (fma.f64 -1/3 (*.f64 (pow.f64 -1 1/6) -1/18) (*.f64 (pow.f64 -1 1/6) 8/81))) (*.f64 (*.f64 (pow.f64 -1 1/6) (*.f64 (pow.f64 -1 1/6) -1/18)) 2/3))) (pow.f64 x 3)))))))))))) |
(-.f64 (-.f64 (fma.f64 (/.f64 (sqrt.f64 -1) x) -1/3 (+.f64 (fma.f64 -1/3 (*.f64 (pow.f64 -1 1/6) (/.f64 (fma.f64 -2 (*.f64 (cbrt.f64 -1) -1/18) (*.f64 (cbrt.f64 -1) 1/9)) (pow.f64 x 3))) (fma.f64 2/9 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (fma.f64 (pow.f64 -1 1/6) (+.f64 (/.f64 (fma.f64 -2 (*.f64 (cbrt.f64 -1) -1/18) (*.f64 (cbrt.f64 -1) 1/9)) (*.f64 x x)) (/.f64 (+.f64 (*.f64 (*.f64 (cbrt.f64 -1) 2/3) -1/18) (*.f64 (+.f64 (*.f64 (cbrt.f64 -1) 8/81) (*.f64 -1/3 (*.f64 (cbrt.f64 -1) -1/18))) -2)) (pow.f64 x 3))) (*.f64 -2/3 (/.f64 (sqrt.f64 -1) x))))) (fma.f64 2/3 (*.f64 (cbrt.f64 -1) (/.f64 (*.f64 (pow.f64 -1 1/6) -1/18) (pow.f64 x 3))) (sqrt.f64 -1)))) (*.f64 (cbrt.f64 -1) (/.f64 (fma.f64 (pow.f64 -1 1/6) 8/81 (*.f64 (pow.f64 -1 1/6) 1/54)) (pow.f64 x 3)))) (*.f64 (cbrt.f64 -1) (/.f64 (/.f64 (*.f64 (pow.f64 -1 1/6) -1/18) x) x))) |
(+.f64 (fma.f64 (/.f64 (sqrt.f64 -1) x) -1/3 (+.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -2/3 (/.f64 2/9 x))) (*.f64 (pow.f64 -1 1/6) (+.f64 (+.f64 (/.f64 (fma.f64 -2 (*.f64 (cbrt.f64 -1) -1/18) (*.f64 (cbrt.f64 -1) 1/9)) (*.f64 x x)) (/.f64 (+.f64 (*.f64 -1/18 (*.f64 (cbrt.f64 -1) 2/3)) (*.f64 (*.f64 (pow.f64 -1 1/6) 19/162) (*.f64 2 (pow.f64 -1 7/6)))) (pow.f64 x 3))) (*.f64 -1/3 (/.f64 (fma.f64 -2 (*.f64 (cbrt.f64 -1) -1/18) (*.f64 (cbrt.f64 -1) 1/9)) (pow.f64 x 3)))))) (fma.f64 2/3 (/.f64 (*.f64 -1/18 (pow.f64 (pow.f64 -1 1/6) 3)) (pow.f64 x 3)) (sqrt.f64 -1)))) (*.f64 (cbrt.f64 -1) (-.f64 (/.f64 (pow.f64 -1 7/6) (/.f64 x (/.f64 -1/18 x))) (*.f64 (pow.f64 -1 1/6) (/.f64 19/162 (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 (sqrt.f64 -1) x) -1)) |
(-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 -1 1/3) (/.f64 (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6))) (pow.f64 x 2)))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 2/9 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 (pow.f64 -1 1/6) (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 -1 1/6) (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6))))) (*.f64 1/9 (pow.f64 -1 1/3))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (sqrt.f64 -1)) (*.f64 2/3 (sqrt.f64 -1))) x)))))) |
(fma.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) (*.f64 (pow.f64 -1 1/6) -1/18)) (*.f64 x x)) (+.f64 (sqrt.f64 -1) (fma.f64 2/9 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (fma.f64 -2/3 (/.f64 (sqrt.f64 -1) x) (fma.f64 (pow.f64 -1 1/6) (/.f64 (fma.f64 -2 (*.f64 (pow.f64 -1 1/6) (*.f64 (pow.f64 -1 1/6) -1/18)) (*.f64 (cbrt.f64 -1) 1/9)) (*.f64 x x)) (*.f64 (/.f64 (sqrt.f64 -1) x) -1/3)))))) |
(+.f64 (-.f64 (fma.f64 2/9 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (*.f64 (pow.f64 -1 1/6) (/.f64 (fma.f64 -2 (*.f64 (cbrt.f64 -1) -1/18) (*.f64 (cbrt.f64 -1) 1/9)) (*.f64 x x)))) (/.f64 (sqrt.f64 -1) x)) (fma.f64 (neg.f64 (cbrt.f64 -1)) (/.f64 (/.f64 (*.f64 (pow.f64 -1 1/6) -1/18) x) x) (sqrt.f64 -1))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (*.f64 1/18 (pow.f64 (pow.f64 -1 1/6) 3)) (*.f64 x x)) (+.f64 (*.f64 (/.f64 (pow.f64 -1 1/6) (*.f64 x x)) (fma.f64 -2 (*.f64 (cbrt.f64 -1) -1/18) (*.f64 (cbrt.f64 -1) 1/9))) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (/.f64 2/9 x) -1))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 -1 1/3) (/.f64 (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6))) (pow.f64 x 2)))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 -1 1/6) (+.f64 (*.f64 -2 (*.f64 (pow.f64 -1 1/6) (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6))))) (*.f64 1/9 (pow.f64 -1 1/3))))) (+.f64 (*.f64 (pow.f64 -1 1/6) (+.f64 (*.f64 -2 (*.f64 (pow.f64 -1 1/6) (+.f64 (*.f64 1/3 (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6)))) (+.f64 (*.f64 1/54 (pow.f64 -1 1/6)) (*.f64 -19/162 (pow.f64 -1 1/6)))))) (*.f64 -2/3 (*.f64 (pow.f64 -1 1/6) (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 -1 1/3) (+.f64 (*.f64 -19/162 (pow.f64 -1 1/6)) (+.f64 (*.f64 1/3 (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6)))) (*.f64 1/54 (pow.f64 -1 1/6)))))) (*.f64 -2/3 (*.f64 (pow.f64 -1 1/3) (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6)))))))) (pow.f64 x 3))) (+.f64 (*.f64 2/9 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 (pow.f64 -1 1/6) (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 -1 1/6) (+.f64 (*.f64 1/18 (pow.f64 -1 1/6)) (*.f64 -1/9 (pow.f64 -1 1/6))))) (*.f64 1/9 (pow.f64 -1 1/3))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (sqrt.f64 -1)) (*.f64 2/3 (sqrt.f64 -1))) x))))))) |
(fma.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) (*.f64 (pow.f64 -1 1/6) -1/18)) (*.f64 x x)) (+.f64 (sqrt.f64 -1) (fma.f64 -1 (/.f64 (fma.f64 1/3 (*.f64 (pow.f64 -1 1/6) (fma.f64 -2 (*.f64 (pow.f64 -1 1/6) (*.f64 (pow.f64 -1 1/6) -1/18)) (*.f64 (cbrt.f64 -1) 1/9))) (fma.f64 (pow.f64 -1 1/6) (fma.f64 -2 (*.f64 (pow.f64 -1 1/6) (fma.f64 1/3 (*.f64 (pow.f64 -1 1/6) -1/18) (*.f64 (pow.f64 -1 1/6) -8/81))) (*.f64 (*.f64 -2/3 (pow.f64 -1 1/6)) (*.f64 (pow.f64 -1 1/6) -1/18))) (fma.f64 -1 (*.f64 (cbrt.f64 -1) (fma.f64 1/3 (*.f64 (pow.f64 -1 1/6) -1/18) (*.f64 (pow.f64 -1 1/6) -8/81))) (*.f64 -2/3 (*.f64 (cbrt.f64 -1) (*.f64 (pow.f64 -1 1/6) -1/18)))))) (pow.f64 x 3)) (fma.f64 2/9 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (fma.f64 (pow.f64 -1 1/6) (/.f64 (fma.f64 -2 (*.f64 (pow.f64 -1 1/6) (*.f64 (pow.f64 -1 1/6) -1/18)) (*.f64 (cbrt.f64 -1) 1/9)) (*.f64 x x)) (neg.f64 (/.f64 (*.f64 (sqrt.f64 -1) 1) x))))))) |
(+.f64 (-.f64 (-.f64 (fma.f64 2/9 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (*.f64 (pow.f64 -1 1/6) (/.f64 (fma.f64 -2 (*.f64 (cbrt.f64 -1) -1/18) (*.f64 (cbrt.f64 -1) 1/9)) (*.f64 x x)))) (/.f64 (sqrt.f64 -1) x)) (/.f64 (fma.f64 1/3 (*.f64 (pow.f64 -1 1/6) (fma.f64 -2 (*.f64 (cbrt.f64 -1) -1/18) (*.f64 (cbrt.f64 -1) 1/9))) (fma.f64 (pow.f64 -1 1/6) (fma.f64 -2/3 (*.f64 (cbrt.f64 -1) -1/18) (*.f64 -2 (+.f64 (*.f64 (cbrt.f64 -1) -8/81) (*.f64 1/3 (*.f64 (cbrt.f64 -1) -1/18))))) (-.f64 (*.f64 (cbrt.f64 -1) (*.f64 (*.f64 (pow.f64 -1 1/6) -1/18) -2/3)) (*.f64 (cbrt.f64 -1) (fma.f64 (pow.f64 -1 1/6) -8/81 (*.f64 (pow.f64 -1 1/6) -1/54)))))) (pow.f64 x 3))) (fma.f64 (neg.f64 (cbrt.f64 -1)) (/.f64 (/.f64 (*.f64 (pow.f64 -1 1/6) -1/18) x) x) (sqrt.f64 -1))) |
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (*.f64 1/18 (pow.f64 (pow.f64 -1 1/6) 3)) (*.f64 x x)) (+.f64 (*.f64 (/.f64 (pow.f64 -1 1/6) (*.f64 x x)) (fma.f64 -2 (*.f64 (cbrt.f64 -1) -1/18) (*.f64 (cbrt.f64 -1) 1/9))) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (/.f64 2/9 x) -1))))) (/.f64 (+.f64 (+.f64 (*.f64 (cbrt.f64 -1) (-.f64 (*.f64 (pow.f64 -1 1/6) 1/27) (*.f64 (pow.f64 -1 1/6) -19/162))) (*.f64 -2 (*.f64 -19/162 (pow.f64 (pow.f64 -1 1/6) 3)))) (*.f64 (pow.f64 -1 1/6) (+.f64 (*.f64 -2/3 (*.f64 (cbrt.f64 -1) -1/18)) (*.f64 1/3 (fma.f64 -2 (*.f64 (cbrt.f64 -1) -1/18) (*.f64 (cbrt.f64 -1) 1/9)))))) (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 1/18 (pow.f64 x 2)) (*.f64 1/3 x))) |
(+.f64 1 (fma.f64 1/18 (*.f64 x x) (*.f64 x 1/3))) |
(+.f64 1 (fma.f64 x 1/3 (*.f64 x (*.f64 x 1/18)))) |
(+.f64 1 (*.f64 x (+.f64 1/3 (*.f64 x 1/18)))) |
(+.f64 (*.f64 19/162 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 1/18 (pow.f64 x 2)) (*.f64 1/3 x)))) |
(fma.f64 19/162 (pow.f64 x 3) (+.f64 1 (fma.f64 1/18 (*.f64 x x) (*.f64 x 1/3)))) |
(+.f64 (fma.f64 x 1/3 (*.f64 x (*.f64 x 1/18))) (fma.f64 (pow.f64 x 3) 19/162 1)) |
(+.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 (pow.f64 -1 1/6) (/.f64 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 (pow.f64 -1 1/6) (/.f64 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 1/3 x) 1)) (*.f64 (pow.f64 -1 1/6) (+.f64 (/.f64 1/18 (*.f64 x 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 (pow.f64 -1 1/6) (/.f64 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 (pow.f64 -1 1/6) (/.f64 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 1/3 x) 1)) (*.f64 (pow.f64 -1 1/6) (+.f64 (/.f64 1/18 (*.f64 x x)) (/.f64 19/162 (pow.f64 x 3))))) |
Compiled 9 to 9 computations (0% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (atan.f64 (/.f64 1 (+.f64 1 x))) |
| 0.0b | (/.f64 1 (+.f64 1 x)) |
Compiled 26 to 21 computations (19.2% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (atan.f64 (/.f64 1 (+.f64 1 x))) |
| 0.0ms | x | @ | -inf | (atan.f64 (/.f64 1 (+.f64 1 x))) |
| 0.0ms | x | @ | inf | (atan.f64 (/.f64 1 (+.f64 1 x))) |
| 1× | batch-egg-rewrite |
| 616× | pow1_binary64 |
| 572× | add-log-exp_binary64 |
| 572× | log1p-expm1-u_binary64 |
| 572× | expm1-log1p-u_binary64 |
| 560× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 127 | 9 |
| 2 | 1604 | 9 |
| 1× | node limit |
| Inputs |
|---|
(atan.f64 (/.f64 1 (+.f64 1 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))))) |
| 1× | egg-herbie |
| 13× | fma-def_binary64 |
| 11× | fma-neg_binary64 |
| 8× | cancel-sign-sub-inv_binary64 |
| 7× | associate-/r*_binary64 |
| 6× | associate--r+_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 44 |
| 1 | 17 | 36 |
| 2 | 25 | 36 |
| 3 | 48 | 36 |
| 4 | 68 | 36 |
| 5 | 99 | 36 |
| 6 | 116 | 36 |
| 7 | 126 | 36 |
| 8 | 128 | 36 |
| 1× | saturated |
| Inputs |
|---|
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x)))) |
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x)))) |
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x)))) |
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x)))) |
| Outputs |
|---|
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x)))) |
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x)))) |
(atan.f64 (/.f64 1 (+.f64 1 x))) |
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x)))) |
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x)))) |
(atan.f64 (/.f64 1 (+.f64 1 x))) |
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x)))) |
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x)))) |
(atan.f64 (/.f64 1 (+.f64 1 x))) |
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x)))) |
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x)))) |
(atan.f64 (/.f64 1 (+.f64 1 x))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (atan.f64 (-.f64 1 x)) | |
| ✓ | 0.0b | (+.f64 1 (atan.f64 (-.f64 1 x))) |
| ✓ | 0.1b | (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1) |
Compiled 35 to 29 computations (17.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1) |
| 0.0ms | x | @ | inf | (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1) |
| 0.0ms | x | @ | -inf | (+.f64 1 (atan.f64 (-.f64 1 x))) |
| 0.0ms | x | @ | inf | (+.f64 1 (atan.f64 (-.f64 1 x))) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1) |
| 1× | batch-egg-rewrite |
| 849× | pow1_binary64 |
| 794× | add-log-exp_binary64 |
| 794× | log1p-expm1-u_binary64 |
| 794× | expm1-log1p-u_binary64 |
| 781× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 21 |
| 1 | 163 | 15 |
| 2 | 2364 | 15 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1) |
(+.f64 1 (atan.f64 (-.f64 1 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (+.f64 (atan.f64 (-.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (+.f64 (atan.f64 (-.f64 1 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (+.f64 (atan.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) (+.f64 (atan.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (+.f64 (atan.f64 (-.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1)) (neg.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) (+.f64 (atan.f64 (-.f64 1 x)) -1)) (+.f64 (atan.f64 (-.f64 1 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) (+.f64 (atan.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x atan.f64 (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (atan.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (atan.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (-.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (/.f64 1 (-.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (atan.f64 (-.f64 1 x))) (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (atan.f64 (-.f64 1 x))) (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (-.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (-.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (-.f64 1 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))) (neg.f64 (-.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))) (neg.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1) (+.f64 (atan.f64 (-.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) 1) (-.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) 1) (-.f64 1 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))) 1))))) |
| 1× | egg-herbie |
| 8× | sub-neg_binary64 |
| 6× | fma-def_binary64 |
| 5× | +-commutative_binary64 |
| 3× | associate-+l-_binary64 |
| 3× | associate--r+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 108 |
| 1 | 17 | 108 |
| 2 | 20 | 108 |
| 3 | 24 | 108 |
| 4 | 31 | 108 |
| 5 | 41 | 108 |
| 6 | 52 | 108 |
| 7 | 64 | 108 |
| 8 | 67 | 108 |
| 1× | saturated |
| Inputs |
|---|
(atan.f64 (-.f64 1 x)) |
(atan.f64 (-.f64 1 x)) |
(atan.f64 (-.f64 1 x)) |
(atan.f64 (-.f64 1 x)) |
(atan.f64 (-.f64 1 x)) |
(atan.f64 (-.f64 1 x)) |
(atan.f64 (-.f64 1 x)) |
(atan.f64 (-.f64 1 x)) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x)))) |
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x)))) |
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x)))) |
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x)))) |
| Outputs |
|---|
(atan.f64 (-.f64 1 x)) |
(atan.f64 (-.f64 1 x)) |
(atan.f64 (-.f64 1 x)) |
(atan.f64 (-.f64 1 x)) |
(atan.f64 (-.f64 1 x)) |
(atan.f64 (-.f64 1 x)) |
(atan.f64 (-.f64 1 x)) |
(atan.f64 (-.f64 1 x)) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (-.f64 1 x)) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (-.f64 1 x)) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (-.f64 1 x)) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (-.f64 1 x)) |
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x)))) |
(+.f64 1 (atan.f64 (-.f64 1 x))) |
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x)))) |
(+.f64 1 (atan.f64 (-.f64 1 x))) |
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x)))) |
(+.f64 1 (atan.f64 (-.f64 1 x))) |
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x)))) |
(+.f64 1 (atan.f64 (-.f64 1 x))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (atan.f64 (sqrt.f64 (*.f64 1 (-.f64 1 x)))) |
| ✓ | 0.0b | (sqrt.f64 (*.f64 1 (-.f64 1 x))) |
Compiled 34 to 28 computations (17.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (sqrt.f64 (*.f64 1 (-.f64 1 x))) |
| 0.0ms | x | @ | -inf | (sqrt.f64 (*.f64 1 (-.f64 1 x))) |
| 0.0ms | x | @ | 0 | (sqrt.f64 (*.f64 1 (-.f64 1 x))) |
| 0.0ms | x | @ | -inf | (atan.f64 (sqrt.f64 (*.f64 1 (-.f64 1 x)))) |
| 0.0ms | x | @ | 0 | (atan.f64 (sqrt.f64 (*.f64 1 (-.f64 1 x)))) |
| 1× | batch-egg-rewrite |
| 585× | pow1_binary64 |
| 544× | add-log-exp_binary64 |
| 544× | log1p-expm1-u_binary64 |
| 544× | expm1-log1p-u_binary64 |
| 532× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 14 |
| 1 | 143 | 14 |
| 2 | 1482 | 14 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 1 (-.f64 1 x))) |
(atan.f64 (sqrt.f64 (*.f64 1 (-.f64 1 x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))))) (#(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 *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1/2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan.f64 (sqrt.f64 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (atan.f64 (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (-.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (-.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))))))))) |
| 1× | egg-herbie |
| 544× | fma-neg_binary64 |
| 536× | unswap-sqr_binary64 |
| 485× | associate-*l*_binary64 |
| 447× | fma-def_binary64 |
| 401× | associate-+r+_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 133 |
| 1 | 61 | 133 |
| 2 | 124 | 133 |
| 3 | 306 | 127 |
| 4 | 769 | 126 |
| 5 | 2418 | 126 |
| 6 | 3938 | 126 |
| 7 | 5030 | 126 |
| 8 | 6474 | 126 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 -1/2 x) 1) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) 1)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) 1))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x)))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 -1/2 x) 1) |
(fma.f64 -1/2 x 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 -1/2 x (fma.f64 -1/8 (*.f64 x x) 1)) |
(fma.f64 x (fma.f64 x -1/8 -1/2) 1) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) 1))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 -1/2 x (fma.f64 -1/16 (pow.f64 x 3) 1))) |
(fma.f64 x (*.f64 x -1/8) (fma.f64 -1/2 x (fma.f64 -1/16 (pow.f64 x 3) 1))) |
(fma.f64 x (fma.f64 x -1/8 -1/2) (fma.f64 -1/16 (pow.f64 x 3) 1)) |
(fma.f64 x (+.f64 -1/2 (*.f64 x (fma.f64 x -1/16 -1/8))) 1) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
Compiled 6532 to 5665 computations (13.3% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 367 | 2 | 369 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 8 | 8 |
| Total | 368 | 10 | 378 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.8b | (*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x)))) |
| ✓ | 1.7b | (*.f64 2 (atan.f64 1)) |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x))))) |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2))) |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
| ▶ | 0.4b | (*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2)))))) |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/6) -3))) |
| ✓ | 0.8b | (*.f64 2 (atan.f64 (-.f64 1 x))) |
| ▶ | 0.5b | (*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))) |
| ✓ | 0.8b | (*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)) |
Compiled 116 to 98 computations (15.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))) |
| ✓ | 0.0b | (atan.f64 (+.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))) |
Compiled 47 to 33 computations (29.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (+.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))) |
| 0.0ms | x | @ | 0 | (atan.f64 (+.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))) |
| 0.0ms | x | @ | -inf | (atan.f64 (+.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))) |
| 0.0ms | x | @ | inf | (atan.f64 (+.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))) |
| 0.0ms | x | @ | 0 | (+.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))) |
| 1× | batch-egg-rewrite |
| 457× | log-prod_binary64 |
| 429× | fma-def_binary64 |
| 346× | exp-prod_binary64 |
| 344× | prod-exp_binary64 |
| 293× | pow-prod-down_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 28 |
| 1 | 196 | 24 |
| 2 | 2674 | 24 |
| 1× | node limit |
| Inputs |
|---|
(atan.f64 (+.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))) |
(+.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))) 2) (cbrt.f64 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))) (sqrt.f64 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))) 2)) (cbrt.f64 (log.f64 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))))) (sqrt.f64 (log.f64 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 x (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 1 (+.f64 x (*.f64 1/2 (*.f64 x x))))) (/.f64 (*.f64 (pow.f64 x 4) 1/4) (-.f64 1 (+.f64 x (*.f64 1/2 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))))) (#(struct:change 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(*.f64 x x)) (-.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x)) (pow.f64 (-.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 6) 1/8 (pow.f64 (-.f64 1 x) 3)) (fma.f64 (pow.f64 x 4) 1/4 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 1 x) (*.f64 1/2 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (pow.f64 x 4) 1/4)) (-.f64 1 (+.f64 x (*.f64 1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 6) 1/8 (pow.f64 (-.f64 1 x) 3))) (neg.f64 (fma.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x)) (pow.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (pow.f64 x 4) 1/4))) (neg.f64 (-.f64 1 (+.f64 x (*.f64 1/2 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (-.f64 x (*.f64 1/2 (*.f64 x x))) 3)) (+.f64 1 (+.f64 (pow.f64 (-.f64 x (*.f64 1/2 (*.f64 x x))) 2) (-.f64 x (*.f64 1/2 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (-.f64 x (*.f64 1/2 (*.f64 x x))) 2)) (+.f64 1 (-.f64 x (*.f64 1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 1 x) 2)) (-.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x)) (pow.f64 (-.f64 1 x) 2)) (fma.f64 (pow.f64 x 6) 1/8 (pow.f64 (-.f64 1 x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (+.f64 x (*.f64 1/2 (*.f64 x x)))) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (pow.f64 x 4) 1/4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))) 2)) (cbrt.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))) (sqrt.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (exp.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (-.f64 1 x)) (+.f64 1 (expm1.f64 (*.f64 1/2 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 1 x))) (+.f64 1 (expm1.f64 (*.f64 1/2 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (*.f64 x x)))) (exp.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (+.f64 1 (expm1.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (*.f64 x x)))) (+.f64 1 (expm1.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 x) (*.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 x) 1 (*.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 x x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/2) x (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (*.f64 x x)) 1 (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1/2 (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (*.f64 (cbrt.f64 (*.f64 x 1/2)) x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 1/2)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x)) (*.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 (*.f64 x 1/2)) x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 1/2)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 (fma.f64 x x x))) (*.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 1 x)) (*.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (*.f64 1/4 (*.f64 x x)))) (cbrt.f64 (*.f64 x 1/2)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 x 1/2))) (sqrt.f64 (*.f64 x 1/2)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 1/2) (sqrt.f64 x)) (sqrt.f64 x) (-.f64 1 x)))))) |
| 1× | egg-herbie |
| 511× | fma-neg_binary64 |
| 425× | cancel-sign-sub-inv_binary64 |
| 393× | distribute-rgt-neg-in_binary64 |
| 320× | sub-neg_binary64 |
| 314× | associate--r-_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 299 |
| 1 | 34 | 261 |
| 2 | 54 | 261 |
| 3 | 121 | 221 |
| 4 | 315 | 221 |
| 5 | 949 | 221 |
| 6 | 2319 | 221 |
| 7 | 4437 | 221 |
| 8 | 5718 | 221 |
| 1× | node limit |
| Inputs |
|---|
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.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 2)) (*.f64 -1 x))) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.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 2)) (*.f64 -1 x))) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.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 2)) (*.f64 -1 x))) |
| Outputs |
|---|
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 1 x))) |
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 1 x))) |
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 1 x))) |
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 1 x))) |
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 1 x))) |
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 1 x))) |
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 1 x))) |
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 1 x))) |
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1)) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 1 x))) |
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1)) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 1 x))) |
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1)) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 1 x))) |
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1)) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 1 x))) |
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1)) |
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 (fma.f64 1/2 (*.f64 x x) 1) x) |
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x)) |
(fma.f64 x (fma.f64 1/2 x -1) 1) |
(+.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 (fma.f64 1/2 (*.f64 x x) 1) x) |
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x)) |
(fma.f64 x (fma.f64 1/2 x -1) 1) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(fma.f64 1/2 (*.f64 x x) (neg.f64 x)) |
(*.f64 x (fma.f64 1/2 x -1)) |
(+.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 (fma.f64 1/2 (*.f64 x x) 1) x) |
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x)) |
(fma.f64 x (fma.f64 1/2 x -1) 1) |
(+.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 (fma.f64 1/2 (*.f64 x x) 1) x) |
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x)) |
(fma.f64 x (fma.f64 1/2 x -1) 1) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(fma.f64 1/2 (*.f64 x x) (neg.f64 x)) |
(*.f64 x (fma.f64 1/2 x -1)) |
(+.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 (fma.f64 1/2 (*.f64 x x) 1) x) |
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x)) |
(fma.f64 x (fma.f64 1/2 x -1) 1) |
(+.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 (fma.f64 1/2 (*.f64 x x) 1) x) |
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x)) |
(fma.f64 x (fma.f64 1/2 x -1) 1) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))))) |
| ✓ | 0.0b | (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2)))) |
| ✓ | 0.0b | (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) |
Compiled 72 to 47 computations (34.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) |
| 1.0ms | x | @ | 0 | (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) |
| 0.0ms | x | @ | -inf | (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) |
| 0.0ms | x | @ | -inf | (atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))))) |
| 0.0ms | x | @ | inf | (atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))))) |
| 1× | batch-egg-rewrite |
| 644× | fma-def_binary64 |
| 616× | log-prod_binary64 |
| 346× | pow2_binary64 |
| 271× | fma-neg_binary64 |
| 236× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 53 |
| 1 | 273 | 43 |
| 2 | 3878 | 43 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) |
(+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2)))) |
(atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) 1) (*.f64 (*.f64 -1/2 (pow.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -1/2 1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -1/2 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 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x) (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x 1/2)) (fma.f64 -1/2 (pow.f64 x 3) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 x) 1 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))) 2) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x (fma.f64 x -1/2 1/2))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 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(sqrt.f64 (fma.f64 x -1/2 1/2)) (*.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) (*.f64 x x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 (fma.f64 x x x))) (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x 1)) (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (fma.f64 x -1/2 1/2)) x (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) 2) (cbrt.f64 (*.f64 x (*.f64 x 1/2))) (fma.f64 -1/2 (pow.f64 x 3) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/2))) (sqrt.f64 (*.f64 x (*.f64 x 1/2))) (fma.f64 -1/2 (pow.f64 x 3) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 x) x (fma.f64 -1/2 (pow.f64 x 3) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2)) (cbrt.f64 (fma.f64 x -1/2 1/2)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (fma.f64 x -1/2 1/2)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 x -1/2 1/2) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (fma.f64 -1/2 (pow.f64 x 3) (-.f64 1 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))) 2) (cbrt.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))) (sqrt.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))) 1)))))) |
| 1× | egg-herbie |
| 780× | fma-neg_binary64 |
| 676× | cancel-sign-sub-inv_binary64 |
| 518× | distribute-rgt-neg-in_binary64 |
| 423× | distribute-lft-neg-in_binary64 |
| 375× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 531 |
| 1 | 91 | 449 |
| 2 | 212 | 449 |
| 3 | 635 | 413 |
| 4 | 2188 | 413 |
| 5 | 5130 | 413 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) |
(*.f64 -1/2 (pow.f64 x 3)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 -1/2 (pow.f64 x 3)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3))) |
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 -1/2 (pow.f64 x 3)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x))) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x)))) |
(*.f64 -1/2 (pow.f64 x 3)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x))) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x)))) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1/2 x) 1/2) (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1/2 x) 1/2) (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1/2 x) 1/2) (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1/2 x) 1/2) (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x))) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x))) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x))) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x))) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x))))) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x))))) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x))))) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x))))) |
| Outputs |
|---|
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) |
(*.f64 -1/2 (pow.f64 x 3)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) |
(*.f64 -1/2 (pow.f64 x 3)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) |
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 (fma.f64 1/2 (*.f64 x x) 1) x) |
(fma.f64 x (fma.f64 1/2 x -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 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x)))) |
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x) |
(fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1) |
(*.f64 -1/2 (pow.f64 x 3)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))) |
(fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (neg.f64 x)) |
(fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) (neg.f64 x)) |
(*.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x)))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x)))) |
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x) |
(fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1) |
(*.f64 -1/2 (pow.f64 x 3)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))) |
(fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (neg.f64 x)) |
(fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) (neg.f64 x)) |
(*.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x)))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x)))) |
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x) |
(fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1/2 x) 1/2) (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (fma.f64 -1/2 x 1/2))) x)) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1/2 x) 1/2) (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (fma.f64 -1/2 x 1/2))) x)) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1/2 x) 1/2) (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (fma.f64 -1/2 x 1/2))) x)) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1/2 x) 1/2) (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (fma.f64 -1/2 x 1/2))) x)) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x))) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (fma.f64 -1/2 x 1/2))) x)) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x))) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (fma.f64 -1/2 x 1/2))) x)) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x))) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (fma.f64 -1/2 x 1/2))) x)) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x))) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (fma.f64 -1/2 x 1/2))) x)) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1)) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x))))) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (fma.f64 -1/2 x 1/2))) x)) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1)) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x))))) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (fma.f64 -1/2 x 1/2))) x)) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1)) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x))))) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (fma.f64 -1/2 x 1/2))) x)) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1)) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x))))) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (fma.f64 -1/2 x 1/2))) x)) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1)) |
Compiled 5657 to 4212 computations (25.5% saved)
11 alts after pruning (1 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 283 | 1 | 284 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 9 | 9 |
| Total | 283 | 11 | 294 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.8b | (*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x)))) |
| ✓ | 1.7b | (*.f64 2 (atan.f64 1)) |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x))))) |
| 61.2b | (*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x)))) | |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2))) |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
| ✓ | 0.4b | (*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2)))))) |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/6) -3))) |
| ✓ | 0.8b | (*.f64 2 (atan.f64 (-.f64 1 x))) |
| ✓ | 0.5b | (*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))) |
| ✓ | 0.8b | (*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)) |
Compiled 125 to 105 computations (16% saved)
| Inputs |
|---|
(*.f64 2 (atan.f64 1)) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x)))) |
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x)))) |
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)) |
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))) |
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2)))))) |
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 1 (-.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 (+.f64 1 x) (-.f64 1 x)) -1/2))) |
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x))))) |
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))) |
(*.f64 2 (atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/6) -3))) |
(*.f64 2 (atan.f64 (log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x))))) |
9 calls:
| 34.0ms | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| 19.0ms | x |
| 7.0ms | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
| 6.0ms | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| 6.0ms | (/.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 241 to 196 computations (18.7% saved)
| Inputs |
|---|
(*.f64 2 (atan.f64 1)) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x)))) |
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x)))) |
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)) |
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))) |
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2)))))) |
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 1 (-.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 (+.f64 1 x) (-.f64 1 x)) -1/2))) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
9 calls:
| 13.0ms | x |
| 7.0ms | (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| 7.0ms | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| 5.0ms | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| 5.0ms | (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 188 to 151 computations (19.7% saved)
| Inputs |
|---|
(*.f64 2 (atan.f64 1)) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x)))) |
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x)))) |
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)) |
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))) |
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2)))))) |
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 1 (-.f64 1 x))))) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2)))))) |
1 calls:
| 11.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.4b | 1 | x |
Compiled 76 to 61 computations (19.7% saved)
| Inputs |
|---|
(*.f64 2 (atan.f64 1)) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x)))) |
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x)))) |
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)) |
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))) |
1 calls:
| 11.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.5b | 1 | x |
Compiled 51 to 42 computations (17.6% saved)
| Inputs |
|---|
(*.f64 2 (atan.f64 1)) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x)))) |
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x)))) |
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x)))) |
1 calls:
| 9.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.8b | 1 | x |
Compiled 39 to 33 computations (15.4% saved)
Total -60.4b remaining (-7326.1%)
Threshold costs -60.4b (-7326.1%)
| Inputs |
|---|
(*.f64 2 (atan.f64 1)) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (-.f64 1 x))) |
1 calls:
| 8.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.8b | 1 | x |
Compiled 21 to 17 computations (19% saved)
| 1× | egg-herbie |
| 13× | *-commutative_binary64 |
| 6× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 106 |
| 1 | 59 | 106 |
| 2 | 62 | 106 |
| 3 | 64 | 106 |
| 4 | 65 | 106 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x))))) |
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2)))))) |
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))) |
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x)))) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 1)) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (+.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 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2)))))) |
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))) |
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x)))) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 1)) |
Compiled 77 to 64 computations (16.9% 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 71 to 58 computations (18.3% saved)
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