Time bar (total: 3.6s)
| 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 | 12× | 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 | @ | inf | (/.f64 (-.f64 1 x) (-.f64 x -1)) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 1 x) (-.f64 x -1)) |
| 1.0ms | x | @ | -inf | (atan.f64 (sqrt.f64 (/.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)
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 233 | 2 | 235 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 233 | 3 | 236 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.4b | (*.f64 2 (atan.f64 (-.f64 1 x))) |
| ▶ | 0.0b | (*.f64 2 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2)))) |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
Compiled 33 to 28 computations (15.2% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (+.f64 1 x) -1/2) |
| ✓ | 0.0b | (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2))) |
| ✓ | 0.0b | (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2)) |
Compiled 54 to 43 computations (20.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (pow.f64 (+.f64 1 x) -1/2) |
| 1.0ms | x | @ | inf | (pow.f64 (+.f64 1 x) -1/2) |
| 0.0ms | x | @ | -inf | (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2)) |
| 0.0ms | x | @ | 0 | (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2)) |
| 0.0ms | x | @ | 0 | (pow.f64 (+.f64 1 x) -1/2) |
| 1× | batch-egg-rewrite |
| 443× | log-prod_binary64 |
| 355× | prod-exp_binary64 |
| 331× | exp-prod_binary64 |
| 277× | pow-prod-down_binary64 |
| 259× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 39 |
| 1 | 213 | 39 |
| 2 | 2583 | 39 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2)) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2))) |
(pow.f64 (+.f64 1 x) -1/2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (+.f64 1 x) -1/2)) (sqrt.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (+.f64 1 x) -1/2)) (sqrt.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (+.f64 1 x) -1/2)) (sqrt.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (+.f64 1 x) -1/2)) (sqrt.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (fma.f64 -1/2 (log1p.f64 x) (*.f64 1/2 (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 x) (/.f64 1 (+.f64 1 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 (-.f64 1 x) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 1 x) -1/6) (pow.f64 (-.f64 1 x) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (log1p.f64 x) (*.f64 1/2 (log1p.f64 (neg.f64 x))))) 2)) (cbrt.f64 (fma.f64 -1/2 (log1p.f64 x) (*.f64 1/2 (log1p.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 -1/2 (log1p.f64 x) (*.f64 1/2 (log1p.f64 (neg.f64 x)))))) (sqrt.f64 (fma.f64 -1/2 (log1p.f64 x) (*.f64 1/2 (log1p.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (-.f64 1 x) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (+.f64 1 x) -1/2)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 (-.f64 1 x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 -1/2 (log1p.f64 x) (*.f64 1/2 (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 -1/2 (log1p.f64 x) (*.f64 1/2 (log1p.f64 (neg.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (fma.f64 -1/2 (log1p.f64 x) (*.f64 1/2 (log1p.f64 (neg.f64 x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (fma.f64 -1/2 (log1p.f64 x) (*.f64 1/2 (log1p.f64 (neg.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (*.f64 -1/4 (log1p.f64 x)) (*.f64 1/4 (log1p.f64 (neg.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 -1/2 (log1p.f64 x) (*.f64 1/2 (log1p.f64 (neg.f64 x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1/2) (*.f64 -1/2 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 x))) 1) (*.f64 -1/2 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 1/2 (log1p.f64 (neg.f64 x))) (*.f64 (*.f64 -1/2 (log1p.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1/2) (*.f64 (*.f64 -1/2 (log1p.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 x))) 1) (*.f64 (*.f64 -1/2 (log1p.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 -1/2 (log1p.f64 x)) 1) (*.f64 1/2 (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 -1/2 (log1p.f64 x)) (*.f64 (log1p.f64 (neg.f64 x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 -1/2 (log1p.f64 x)) 1) (*.f64 (log1p.f64 (neg.f64 x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 -1/2 (log1p.f64 x)) (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 -1/2 (log1p.f64 x)) 1) (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 x))) 1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2)))) (pow.f64 (cbrt.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2)))) 2) (cbrt.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2)))) (sqrt.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2))))) 2)) (cbrt.f64 (log.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2)))))) (sqrt.f64 (log.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2)))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (+.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 1 x) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 1 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 1 x) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 1 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) -1/6) (cbrt.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/6))))) (#(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 (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (pow.f64 (+.f64 1 x) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 x) -1/2))))))) (#(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 (pow.f64 (+.f64 1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (*.f64 -1/2 (log1p.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log1p.f64 x)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (*.f64 -1/2 (log1p.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/4 (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -1/2 (log1p.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 x) -1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 x) -1/4) (*.f64 -1/4 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 -1/4 (log1p.f64 x)) (*.f64 (log1p.f64 x) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 x) -1/4) (*.f64 (log1p.f64 x) -1/4))))))) |
| 1× | egg-herbie |
| 670× | associate-*l/_binary64 |
| 575× | associate-/l/_binary64 |
| 337× | fma-def_binary64 |
| 307× | associate-/r*_binary64 |
| 279× | times-frac_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 116 | 850 |
| 1 | 311 | 812 |
| 2 | 910 | 652 |
| 3 | 3714 | 582 |
| 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))))))) |
(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 (*.f64 -1/2 x) 1) |
(+.f64 (*.f64 -1/2 x) (+.f64 1 (*.f64 3/8 (pow.f64 x 2)))) |
(+.f64 (*.f64 -1/2 x) (+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3))))) |
(sqrt.f64 (/.f64 1 x)) |
(+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 -5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))) |
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (*.f64 -1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))) |
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (*.f64 -5/16 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (*.f64 -1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.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 x (*.f64 x 1/2) 1) x) |
(+.f64 1 (*.f64 x (fma.f64 x 1/2 -1))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(+.f64 (fma.f64 -1/2 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) (-.f64 1 x)) |
(fma.f64 -1/2 (pow.f64 x 3) (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) |
(fma.f64 x (*.f64 x (+.f64 1/2 (*.f64 x -1/2))) (-.f64 1 x)) |
(sqrt.f64 -1) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) |
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 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 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (/.f64 -1/2 (*.f64 x (*.f64 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 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 (/.f64 1/2 (pow.f64 x 3)) (sqrt.f64 -1))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (*.f64 (/.f64 (/.f64 1 (*.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 (/.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 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (/.f64 -1/2 (*.f64 x (*.f64 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 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 (/.f64 1/2 (pow.f64 x 3)) (sqrt.f64 -1))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (*.f64 (/.f64 (/.f64 1 (*.f64 x x)) (sqrt.f64 -1)) (+.f64 -1/2 (/.f64 1/2 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 (*.f64 -1/2 x) 1) |
(fma.f64 -1/2 x 1) |
(fma.f64 x -1/2 1) |
(+.f64 (*.f64 -1/2 x) (+.f64 1 (*.f64 3/8 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -1/2 x 1) (*.f64 (*.f64 x x) 3/8)) |
(fma.f64 x -1/2 (fma.f64 (*.f64 x x) 3/8 1)) |
(fma.f64 x -1/2 (fma.f64 x (*.f64 x 3/8) 1)) |
(+.f64 (*.f64 -1/2 x) (+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3))))) |
(+.f64 (fma.f64 -1/2 x 1) (fma.f64 3/8 (*.f64 x x) (*.f64 (pow.f64 x 3) -5/16))) |
(+.f64 (fma.f64 x -1/2 1) (fma.f64 (*.f64 x x) 3/8 (*.f64 (pow.f64 x 3) -5/16))) |
(fma.f64 x -1/2 (fma.f64 x (*.f64 x 3/8) (fma.f64 (pow.f64 x 3) -5/16 1))) |
(+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16)))))) |
(sqrt.f64 (/.f64 1 x)) |
(+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) |
(fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 (/.f64 1 x))) |
(fma.f64 -1/2 (fabs.f64 (/.f64 -1 (pow.f64 x 3/2))) (sqrt.f64 (/.f64 1 x))) |
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) |
(fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) |
(fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 (/.f64 1 x)))) |
(fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (sqrt.f64 (/.f64 1 x)))) |
(fma.f64 -1/2 (fabs.f64 (/.f64 -1 (pow.f64 x 3/2))) (fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (sqrt.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 -5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))) |
(fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 -5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))) |
(fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 -5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 (/.f64 1 x))))) |
(fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 -5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 (/.f64 1 x))))) |
(fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 -1/2 (fabs.f64 (/.f64 -1 (pow.f64 x 3/2))) (fma.f64 -5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 (/.f64 1 x))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2)) |
(pow.f64 (exp.f64 -1/2) (log.f64 x)) |
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))) |
(+.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x))) |
(fma.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) |
(fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2)) x) (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2))) |
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (pow.f64 (exp.f64 -1/2) (log.f64 x))) |
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (*.f64 -1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))) |
(+.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)) (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)))) |
(+.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (*.f64 3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x))))) |
(fma.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2)) x) (+.f64 -1/2 (/.f64 3/8 x)))) |
(+.f64 (pow.f64 (exp.f64 -1/2) (log.f64 x)) (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (log.f64 x)) x) (+.f64 -1/2 (/.f64 3/8 x)))) |
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (*.f64 -5/16 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (*.f64 -1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))))) |
(+.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)) (fma.f64 -5/16 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 x 3)) (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x))))) |
(+.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (fma.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (*.f64 -5/16 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)))))) |
(fma.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2) (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2)) x) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2)) (*.f64 x x)) (+.f64 3/8 (/.f64 -5/16 x))))) |
(+.f64 (pow.f64 (exp.f64 -1/2) (log.f64 x)) (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (log.f64 x)) x) (+.f64 -1/2 (+.f64 (/.f64 -5/16 (*.f64 x x)) (/.f64 3/8 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 | |
|---|---|---|---|---|
| 0.0ms | 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)) |
Compiled 2723 to 2290 computations (15.9% saved)
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 145 | 3 | 148 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 1 | 2 |
| Total | 146 | 5 | 151 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.4b | (*.f64 2 (atan.f64 (-.f64 1 x))) |
| ▶ | 0.4b | (*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)) |
| ▶ | 0.8b | (*.f64 2 (atan.f64 1)) |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
| ▶ | 0.2b | (*.f64 2 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16))))))))) |
Compiled 57 to 49 computations (14% saved)
Compiled 9 to 9 computations (0% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16)))))))) |
| ✓ | 0.0b | (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16))))) |
| ✓ | 0.0b | (*.f64 x (+.f64 3/8 (*.f64 x -5/16))) |
| ✓ | 0.0b | (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16))))))) |
Compiled 120 to 93 computations (22.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16))))))) |
| 1.0ms | x | @ | inf | (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16)))))))) |
| 1.0ms | x | @ | -inf | (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16))))))) |
| 1.0ms | x | @ | 0 | (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16))))))) |
| 1.0ms | x | @ | inf | (*.f64 x (+.f64 3/8 (*.f64 x -5/16))) |
| 1× | batch-egg-rewrite |
| 710× | fma-def_binary64 |
| 316× | expm1-udef_binary64 |
| 315× | log1p-udef_binary64 |
| 285× | fma-neg_binary64 |
| 246× | log-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 82 |
| 1 | 370 | 64 |
| 2 | 5226 | 64 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16))))))) |
(*.f64 x (+.f64 3/8 (*.f64 x -5/16))) |
(*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16))))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16)))))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 x (*.f64 (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (*.f64 x (*.f64 (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) (sqrt.f64 (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 1 x) 3/2) (pow.f64 (*.f64 x (*.f64 (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) (sqrt.f64 (-.f64 1 x)))) 3)) (+.f64 (-.f64 1 x) (-.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) (sqrt.f64 (-.f64 1 x)))) (*.f64 x (*.f64 (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) (sqrt.f64 (-.f64 1 x))))) (*.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 x (*.f64 (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) (sqrt.f64 (-.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 1 x) (*.f64 (*.f64 x (*.f64 (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) (sqrt.f64 (-.f64 1 x)))) (*.f64 x (*.f64 (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) (sqrt.f64 (-.f64 1 x)))))) (-.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 x (*.f64 (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) (sqrt.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2)) 3)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2)) (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2)) 2)) (sqrt.f64 (-.f64 1 x))) (-.f64 1 (*.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 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2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (-.f64 1 x) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x)))) (exp.f64 (*.f64 x (*.f64 (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) (sqrt.f64 (-.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) (sqrt.f64 (-.f64 1 x))))) (exp.f64 (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) (sqrt.f64 (-.f64 1 x))))) (+.f64 1 (expm1.f64 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fma.f64 -1/2 x (*.f64 (fma.f64 x -5/16 3/8) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x -5/16 3/8) (*.f64 x x) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (fma.f64 x -5/16 3/8)) x (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (fma.f64 x -5/16 3/8) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (*.f64 x (fma.f64 x -5/16 3/8))) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) -1/2) (*.f64 (fma.f64 x -5/16 3/8) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x 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-5/16 3/8) (*.f64 x x))) (sqrt.f64 (*.f64 (fma.f64 x -5/16 3/8) (*.f64 x x))) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -1/2)) (sqrt.f64 (*.f64 x -1/2)) (*.f64 (fma.f64 x -5/16 3/8) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (fma.f64 x -5/16 3/8)))) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (fma.f64 x -5/16 3/8)))) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 x (fma.f64 x -5/16 3/8))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (fma.f64 x -5/16 3/8))) (sqrt.f64 x)) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -5/16 3/8))) 2)) (cbrt.f64 (*.f64 x (fma.f64 x -5/16 3/8))) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 x (fma.f64 x -5/16 3/8)))) (sqrt.f64 (*.f64 x (fma.f64 x -5/16 3/8))) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 (fma.f64 x -5/16 3/8) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (fma.f64 x -5/16 3/8) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x (fma.f64 x -5/16 3/8)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x (fma.f64 x -5/16 3/8)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x -1/2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1)))) (pow.f64 (cbrt.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1)))) 2) (cbrt.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1)))) (sqrt.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1)))) 1)))))) |
| 1× | egg-herbie |
| 774× | unsub-neg_binary64 |
| 688× | cancel-sign-sub-inv_binary64 |
| 582× | fma-def_binary64 |
| 379× | distribute-rgt-in_binary64 |
| 378× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 620 |
| 1 | 138 | 569 |
| 2 | 312 | 522 |
| 3 | 1013 | 515 |
| 4 | 3777 | 515 |
| 5 | 7078 | 515 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(*.f64 3/8 x) |
(+.f64 (*.f64 -5/16 (pow.f64 x 2)) (*.f64 3/8 x)) |
(+.f64 (*.f64 -5/16 (pow.f64 x 2)) (*.f64 3/8 x)) |
(+.f64 (*.f64 -5/16 (pow.f64 x 2)) (*.f64 3/8 x)) |
(*.f64 -5/16 (pow.f64 x 2)) |
(+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2))) |
(+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2))) |
(+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2))) |
(*.f64 -5/16 (pow.f64 x 2)) |
(+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2))) |
(+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2))) |
(+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2))) |
(*.f64 -1/2 x) |
(+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))) |
(*.f64 -5/16 (pow.f64 x 3)) |
(+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3))) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))) |
(*.f64 -5/16 (pow.f64 x 3)) |
(+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3))) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))) |
(atan.f64 (*.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 (+.f64 (*.f64 -5/16 x) 3/8) x) 1/2))) (sqrt.f64 (-.f64 1 x)))) |
(atan.f64 (*.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 (+.f64 (*.f64 -5/16 x) 3/8) x) 1/2))) (sqrt.f64 (-.f64 1 x)))) |
(atan.f64 (*.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 (+.f64 (*.f64 -5/16 x) 3/8) x) 1/2))) (sqrt.f64 (-.f64 1 x)))) |
(atan.f64 (*.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 (+.f64 (*.f64 -5/16 x) 3/8) x) 1/2))) (sqrt.f64 (-.f64 1 x)))) |
(atan.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 3/8 (pow.f64 x 2))) (+.f64 (*.f64 1/2 x) (*.f64 5/16 (pow.f64 x 3)))) (sqrt.f64 (-.f64 1 x)))) |
(atan.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 3/8 (pow.f64 x 2))) (+.f64 (*.f64 1/2 x) (*.f64 5/16 (pow.f64 x 3)))) (sqrt.f64 (-.f64 1 x)))) |
(atan.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 3/8 (pow.f64 x 2))) (+.f64 (*.f64 1/2 x) (*.f64 5/16 (pow.f64 x 3)))) (sqrt.f64 (-.f64 1 x)))) |
(atan.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 3/8 (pow.f64 x 2))) (+.f64 (*.f64 1/2 x) (*.f64 5/16 (pow.f64 x 3)))) (sqrt.f64 (-.f64 1 x)))) |
(atan.f64 (*.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x))) (+.f64 1 (*.f64 (-.f64 (*.f64 (+.f64 3/8 (*.f64 -5/16 x)) x) 1/2) x)))) |
(atan.f64 (*.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x))) (+.f64 1 (*.f64 (-.f64 (*.f64 (+.f64 3/8 (*.f64 -5/16 x)) x) 1/2) x)))) |
(atan.f64 (*.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x))) (+.f64 1 (*.f64 (-.f64 (*.f64 (+.f64 3/8 (*.f64 -5/16 x)) x) 1/2) x)))) |
(atan.f64 (*.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x))) (+.f64 1 (*.f64 (-.f64 (*.f64 (+.f64 3/8 (*.f64 -5/16 x)) x) 1/2) 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 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))) |
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) |
(fma.f64 x (fma.f64 x 1/2 -1) 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(+.f64 (fma.f64 -1/2 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) (-.f64 1 x)) |
(fma.f64 -1/2 (pow.f64 x 3) (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) |
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x) |
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x) |
(*.f64 3/8 x) |
(*.f64 x 3/8) |
(+.f64 (*.f64 -5/16 (pow.f64 x 2)) (*.f64 3/8 x)) |
(fma.f64 3/8 x (*.f64 (*.f64 x x) -5/16)) |
(*.f64 x (fma.f64 x -5/16 3/8)) |
(+.f64 (*.f64 -5/16 (pow.f64 x 2)) (*.f64 3/8 x)) |
(fma.f64 3/8 x (*.f64 (*.f64 x x) -5/16)) |
(*.f64 x (fma.f64 x -5/16 3/8)) |
(+.f64 (*.f64 -5/16 (pow.f64 x 2)) (*.f64 3/8 x)) |
(fma.f64 3/8 x (*.f64 (*.f64 x x) -5/16)) |
(*.f64 x (fma.f64 x -5/16 3/8)) |
(*.f64 -5/16 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -5/16) |
(*.f64 x (*.f64 x -5/16)) |
(+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2))) |
(fma.f64 3/8 x (*.f64 (*.f64 x x) -5/16)) |
(*.f64 x (fma.f64 x -5/16 3/8)) |
(+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2))) |
(fma.f64 3/8 x (*.f64 (*.f64 x x) -5/16)) |
(*.f64 x (fma.f64 x -5/16 3/8)) |
(+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2))) |
(fma.f64 3/8 x (*.f64 (*.f64 x x) -5/16)) |
(*.f64 x (fma.f64 x -5/16 3/8)) |
(*.f64 -5/16 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -5/16) |
(*.f64 x (*.f64 x -5/16)) |
(+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2))) |
(fma.f64 3/8 x (*.f64 (*.f64 x x) -5/16)) |
(*.f64 x (fma.f64 x -5/16 3/8)) |
(+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2))) |
(fma.f64 3/8 x (*.f64 (*.f64 x x) -5/16)) |
(*.f64 x (fma.f64 x -5/16 3/8)) |
(+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2))) |
(fma.f64 3/8 x (*.f64 (*.f64 x x) -5/16)) |
(*.f64 x (fma.f64 x -5/16 3/8)) |
(*.f64 -1/2 x) |
(*.f64 x -1/2) |
(+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2))) |
(fma.f64 -1/2 x (*.f64 (*.f64 x x) 3/8)) |
(fma.f64 x -1/2 (*.f64 x (*.f64 x 3/8))) |
(*.f64 x (+.f64 -1/2 (*.f64 x 3/8))) |
(*.f64 x (fma.f64 x 3/8 -1/2)) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))) |
(fma.f64 -1/2 x (fma.f64 3/8 (*.f64 x x) (*.f64 (pow.f64 x 3) -5/16))) |
(fma.f64 x -1/2 (fma.f64 (*.f64 x x) 3/8 (*.f64 (pow.f64 x 3) -5/16))) |
(*.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2)) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))) |
(fma.f64 -1/2 x (fma.f64 3/8 (*.f64 x x) (*.f64 (pow.f64 x 3) -5/16))) |
(fma.f64 x -1/2 (fma.f64 (*.f64 x x) 3/8 (*.f64 (pow.f64 x 3) -5/16))) |
(*.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2)) |
(*.f64 -5/16 (pow.f64 x 3)) |
(*.f64 (pow.f64 x 3) -5/16) |
(+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3))) |
(fma.f64 3/8 (*.f64 x x) (*.f64 (pow.f64 x 3) -5/16)) |
(fma.f64 (*.f64 x x) 3/8 (*.f64 (pow.f64 x 3) -5/16)) |
(*.f64 x (*.f64 x (fma.f64 x -5/16 3/8))) |
(*.f64 (*.f64 x x) (fma.f64 x -5/16 3/8)) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))) |
(fma.f64 -1/2 x (fma.f64 3/8 (*.f64 x x) (*.f64 (pow.f64 x 3) -5/16))) |
(fma.f64 x -1/2 (fma.f64 (*.f64 x x) 3/8 (*.f64 (pow.f64 x 3) -5/16))) |
(*.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2)) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))) |
(fma.f64 -1/2 x (fma.f64 3/8 (*.f64 x x) (*.f64 (pow.f64 x 3) -5/16))) |
(fma.f64 x -1/2 (fma.f64 (*.f64 x x) 3/8 (*.f64 (pow.f64 x 3) -5/16))) |
(*.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2)) |
(*.f64 -5/16 (pow.f64 x 3)) |
(*.f64 (pow.f64 x 3) -5/16) |
(+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3))) |
(fma.f64 3/8 (*.f64 x x) (*.f64 (pow.f64 x 3) -5/16)) |
(fma.f64 (*.f64 x x) 3/8 (*.f64 (pow.f64 x 3) -5/16)) |
(*.f64 x (*.f64 x (fma.f64 x -5/16 3/8))) |
(*.f64 (*.f64 x x) (fma.f64 x -5/16 3/8)) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))) |
(fma.f64 -1/2 x (fma.f64 3/8 (*.f64 x x) (*.f64 (pow.f64 x 3) -5/16))) |
(fma.f64 x -1/2 (fma.f64 (*.f64 x x) 3/8 (*.f64 (pow.f64 x 3) -5/16))) |
(*.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2)) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))) |
(fma.f64 -1/2 x (fma.f64 3/8 (*.f64 x x) (*.f64 (pow.f64 x 3) -5/16))) |
(fma.f64 x -1/2 (fma.f64 (*.f64 x x) 3/8 (*.f64 (pow.f64 x 3) -5/16))) |
(*.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2)) |
(atan.f64 (*.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 (+.f64 (*.f64 -5/16 x) 3/8) x) 1/2))) (sqrt.f64 (-.f64 1 x)))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (fma.f64 (fma.f64 -5/16 x 3/8) x -1/2))))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1))) |
(atan.f64 (*.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 (+.f64 (*.f64 -5/16 x) 3/8) x) 1/2))) (sqrt.f64 (-.f64 1 x)))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (fma.f64 (fma.f64 -5/16 x 3/8) x -1/2))))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1))) |
(atan.f64 (*.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 (+.f64 (*.f64 -5/16 x) 3/8) x) 1/2))) (sqrt.f64 (-.f64 1 x)))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (fma.f64 (fma.f64 -5/16 x 3/8) x -1/2))))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1))) |
(atan.f64 (*.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 (+.f64 (*.f64 -5/16 x) 3/8) x) 1/2))) (sqrt.f64 (-.f64 1 x)))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (fma.f64 (fma.f64 -5/16 x 3/8) x -1/2))))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1))) |
(atan.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 3/8 (pow.f64 x 2))) (+.f64 (*.f64 1/2 x) (*.f64 5/16 (pow.f64 x 3)))) (sqrt.f64 (-.f64 1 x)))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (fma.f64 (fma.f64 -5/16 x 3/8) x -1/2))))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1))) |
(atan.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 3/8 (pow.f64 x 2))) (+.f64 (*.f64 1/2 x) (*.f64 5/16 (pow.f64 x 3)))) (sqrt.f64 (-.f64 1 x)))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (fma.f64 (fma.f64 -5/16 x 3/8) x -1/2))))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1))) |
(atan.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 3/8 (pow.f64 x 2))) (+.f64 (*.f64 1/2 x) (*.f64 5/16 (pow.f64 x 3)))) (sqrt.f64 (-.f64 1 x)))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (fma.f64 (fma.f64 -5/16 x 3/8) x -1/2))))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1))) |
(atan.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 3/8 (pow.f64 x 2))) (+.f64 (*.f64 1/2 x) (*.f64 5/16 (pow.f64 x 3)))) (sqrt.f64 (-.f64 1 x)))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (fma.f64 (fma.f64 -5/16 x 3/8) x -1/2))))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1))) |
(atan.f64 (*.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x))) (+.f64 1 (*.f64 (-.f64 (*.f64 (+.f64 3/8 (*.f64 -5/16 x)) x) 1/2) x)))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (fma.f64 (fma.f64 -5/16 x 3/8) x -1/2))))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1))) |
(atan.f64 (*.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x))) (+.f64 1 (*.f64 (-.f64 (*.f64 (+.f64 3/8 (*.f64 -5/16 x)) x) 1/2) x)))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (fma.f64 (fma.f64 -5/16 x 3/8) x -1/2))))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1))) |
(atan.f64 (*.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x))) (+.f64 1 (*.f64 (-.f64 (*.f64 (+.f64 3/8 (*.f64 -5/16 x)) x) 1/2) x)))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (fma.f64 (fma.f64 -5/16 x 3/8) x -1/2))))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1))) |
(atan.f64 (*.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x))) (+.f64 1 (*.f64 (-.f64 (*.f64 (+.f64 3/8 (*.f64 -5/16 x)) x) 1/2) x)))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (fma.f64 (fma.f64 -5/16 x 3/8) x -1/2))))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1))) |
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))) |
| ✓ | 0.0b | (-.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 1 (atan.f64 (-.f64 1 x))) |
| 0.0ms | x | @ | 0 | (+.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))) |
Compiled 7241 to 5773 computations (20.3% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 312 | 1 | 313 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 3 | 4 |
| Total | 313 | 5 | 318 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.4b | (*.f64 2 (atan.f64 (-.f64 1 x))) |
| ✓ | 0.4b | (*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)) |
| ✓ | 0.8b | (*.f64 2 (atan.f64 1)) |
| ▶ | 0.3b | (*.f64 2 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x 3/8))))))) |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
Compiled 53 to 46 computations (13.2% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x 3/8)))))) |
| ✓ | 0.0b | (*.f64 x (+.f64 -1/2 (*.f64 x 3/8))) |
| ✓ | 0.0b | (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x 3/8))))) |
Compiled 83 to 65 computations (21.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x 3/8))))) |
| 1.0ms | x | @ | -inf | (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x 3/8))))) |
| 1.0ms | x | @ | 0 | (*.f64 x (+.f64 -1/2 (*.f64 x 3/8))) |
| 1.0ms | x | @ | 0 | (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x 3/8))))) |
| 1.0ms | x | @ | inf | (*.f64 x (+.f64 -1/2 (*.f64 x 3/8))) |
| 1× | batch-egg-rewrite |
| 665× | log-prod_binary64 |
| 542× | fma-def_binary64 |
| 367× | pow2_binary64 |
| 254× | pow1/3_binary64 |
| 249× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 54 |
| 1 | 293 | 44 |
| 2 | 4022 | 44 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x 3/8))))) |
(*.f64 x (+.f64 -1/2 (*.f64 x 3/8))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x 3/8)))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 x (*.f64 (fma.f64 x 3/8 -1/2) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (*.f64 x (*.f64 (fma.f64 x 3/8 -1/2) (sqrt.f64 (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (fma.f64 x 3/8 -1/2) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x 3/8 -1/2) 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x 3/8 -1/2) 1)) (sqrt.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x 3/8 -1/2) 1)) (sqrt.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x 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(*.f64 x x) 3/8 (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 3/8 -1/2) 1)) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 3/8 -1/2) 1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 3/8 -1/2) 1) 2)) (cbrt.f64 (fma.f64 x (fma.f64 x 3/8 -1/2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 9/64)) (*.f64 (cbrt.f64 (*.f64 x 3/8)) x) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 3/8)) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/2) (*.f64 x (*.f64 x 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 3/8 -1/2) 1)) (sqrt.f64 (fma.f64 x (fma.f64 x 3/8 -1/2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 3/8)) (*.f64 (sqrt.f64 (*.f64 x 3/8)) x) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 3/8)) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/2) (*.f64 x (*.f64 x 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (*.f64 x (fma.f64 x 3/8 -1/2)) 3)) (/.f64 1 (fma.f64 (*.f64 x (fma.f64 x 3/8 -1/2)) (fma.f64 x (fma.f64 x 3/8 -1/2) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (*.f64 x (fma.f64 x 3/8 -1/2)) 2)) (/.f64 1 (-.f64 1 (*.f64 x (fma.f64 x 3/8 -1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -1/2) 1 (*.f64 (*.f64 x (*.f64 x 3/8)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2) (cbrt.f64 (*.f64 x -1/2)) (*.f64 x (*.f64 x 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3/8))) 2) (cbrt.f64 (*.f64 x (*.f64 x 3/8))) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -1/2)) (sqrt.f64 (*.f64 x -1/2)) (*.f64 x (*.f64 x 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (*.f64 x 3/8))) (sqrt.f64 (*.f64 x (*.f64 x 3/8))) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 x 3/8)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x 3/8)) (sqrt.f64 x)) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 3/8))) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 3/8))) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 3/8) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 3/8) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (*.f64 (*.f64 x x) 9/64))) (cbrt.f64 (*.f64 x 3/8)) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 x 3/8))) (sqrt.f64 (*.f64 x 3/8)) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (*.f64 x 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (*.f64 x 3/8))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1)))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1)))) (pow.f64 (cbrt.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1)))) 2) (cbrt.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1)))) (sqrt.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1)))) 1)))))) |
| 1× | egg-herbie |
| 558× | sub-neg_binary64 |
| 409× | distribute-rgt-neg-in_binary64 |
| 361× | fma-def_binary64 |
| 332× | distribute-lft-neg-in_binary64 |
| 315× | unsub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 407 |
| 1 | 98 | 356 |
| 2 | 214 | 352 |
| 3 | 607 | 348 |
| 4 | 1963 | 348 |
| 5 | 3948 | 348 |
| 6 | 5912 | 348 |
| 7 | 7321 | 348 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 (*.f64 -3/16 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(*.f64 -1/2 x) |
(+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2))) |
(*.f64 3/8 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2))) |
(*.f64 3/8 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 (-.f64 (*.f64 3/8 x) 1/2) x)))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 (-.f64 (*.f64 3/8 x) 1/2) x)))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 (-.f64 (*.f64 3/8 x) 1/2) x)))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 (-.f64 (*.f64 3/8 x) 1/2) x)))) |
(atan.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 3/8 (pow.f64 x 2))) (*.f64 1/2 x)) (sqrt.f64 (-.f64 1 x)))) |
(atan.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 3/8 (pow.f64 x 2))) (*.f64 1/2 x)) (sqrt.f64 (-.f64 1 x)))) |
(atan.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 3/8 (pow.f64 x 2))) (*.f64 1/2 x)) (sqrt.f64 (-.f64 1 x)))) |
(atan.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 3/8 (pow.f64 x 2))) (*.f64 1/2 x)) (sqrt.f64 (-.f64 1 x)))) |
(atan.f64 (*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2)))) (sqrt.f64 (+.f64 1 (*.f64 -1 x))))) |
(atan.f64 (*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2)))) (sqrt.f64 (+.f64 1 (*.f64 -1 x))))) |
(atan.f64 (*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2)))) (sqrt.f64 (+.f64 1 (*.f64 -1 x))))) |
(atan.f64 (*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2)))) (sqrt.f64 (+.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)) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
(fma.f64 x (fma.f64 x 1/2 -1) 1) |
(+.f64 (*.f64 -3/16 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(fma.f64 -3/16 (pow.f64 x 3) (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(+.f64 (-.f64 (*.f64 x (*.f64 x 1/2)) x) (fma.f64 -3/16 (pow.f64 x 3) 1)) |
(-.f64 (fma.f64 -3/16 (pow.f64 x 3) (fma.f64 x (*.f64 x 1/2) 1)) x) |
(fma.f64 -3/16 (pow.f64 x 3) (fma.f64 x (fma.f64 x 1/2 -1) 1)) |
(fma.f64 x (fma.f64 x 1/2 -1) (fma.f64 -3/16 (pow.f64 x 3) 1)) |
(*.f64 -1/2 x) |
(*.f64 x -1/2) |
(+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2))) |
(fma.f64 -1/2 x (*.f64 (*.f64 x x) 3/8)) |
(*.f64 x (fma.f64 x 3/8 -1/2)) |
(+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2))) |
(fma.f64 -1/2 x (*.f64 (*.f64 x x) 3/8)) |
(*.f64 x (fma.f64 x 3/8 -1/2)) |
(+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2))) |
(fma.f64 -1/2 x (*.f64 (*.f64 x x) 3/8)) |
(*.f64 x (fma.f64 x 3/8 -1/2)) |
(*.f64 3/8 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 3/8) |
(*.f64 x (*.f64 x 3/8)) |
(+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2))) |
(fma.f64 -1/2 x (*.f64 (*.f64 x x) 3/8)) |
(*.f64 x (fma.f64 x 3/8 -1/2)) |
(+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2))) |
(fma.f64 -1/2 x (*.f64 (*.f64 x x) 3/8)) |
(*.f64 x (fma.f64 x 3/8 -1/2)) |
(+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2))) |
(fma.f64 -1/2 x (*.f64 (*.f64 x x) 3/8)) |
(*.f64 x (fma.f64 x 3/8 -1/2)) |
(*.f64 3/8 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 3/8) |
(*.f64 x (*.f64 x 3/8)) |
(+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2))) |
(fma.f64 -1/2 x (*.f64 (*.f64 x x) 3/8)) |
(*.f64 x (fma.f64 x 3/8 -1/2)) |
(+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2))) |
(fma.f64 -1/2 x (*.f64 (*.f64 x x) 3/8)) |
(*.f64 x (fma.f64 x 3/8 -1/2)) |
(+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2))) |
(fma.f64 -1/2 x (*.f64 (*.f64 x x) 3/8)) |
(*.f64 x (fma.f64 x 3/8 -1/2)) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 (-.f64 (*.f64 3/8 x) 1/2) x)))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (fma.f64 3/8 x -1/2))))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 (-.f64 (*.f64 3/8 x) 1/2) x)))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (fma.f64 3/8 x -1/2))))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 (-.f64 (*.f64 3/8 x) 1/2) x)))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (fma.f64 3/8 x -1/2))))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 (-.f64 (*.f64 3/8 x) 1/2) x)))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (fma.f64 3/8 x -1/2))))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1))) |
(atan.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 3/8 (pow.f64 x 2))) (*.f64 1/2 x)) (sqrt.f64 (-.f64 1 x)))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (fma.f64 3/8 x -1/2))))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1))) |
(atan.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 3/8 (pow.f64 x 2))) (*.f64 1/2 x)) (sqrt.f64 (-.f64 1 x)))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (fma.f64 3/8 x -1/2))))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1))) |
(atan.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 3/8 (pow.f64 x 2))) (*.f64 1/2 x)) (sqrt.f64 (-.f64 1 x)))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (fma.f64 3/8 x -1/2))))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1))) |
(atan.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 3/8 (pow.f64 x 2))) (*.f64 1/2 x)) (sqrt.f64 (-.f64 1 x)))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (fma.f64 3/8 x -1/2))))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1))) |
(atan.f64 (*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2)))) (sqrt.f64 (+.f64 1 (*.f64 -1 x))))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (fma.f64 3/8 x -1/2))))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1))) |
(atan.f64 (*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2)))) (sqrt.f64 (+.f64 1 (*.f64 -1 x))))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (fma.f64 3/8 x -1/2))))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1))) |
(atan.f64 (*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2)))) (sqrt.f64 (+.f64 1 (*.f64 -1 x))))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (fma.f64 3/8 x -1/2))))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1))) |
(atan.f64 (*.f64 (+.f64 1 (+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2)))) (sqrt.f64 (+.f64 1 (*.f64 -1 x))))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (fma.f64 3/8 x -1/2))))) |
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (fma.f64 x 3/8 -1/2) 1))) |
Compiled 3839 to 3096 computations (19.4% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 170 | 0 | 170 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 170 | 5 | 175 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.4b | (*.f64 2 (atan.f64 (-.f64 1 x))) |
| ✓ | 0.4b | (*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)) |
| ✓ | 0.8b | (*.f64 2 (atan.f64 1)) |
| ✓ | 0.3b | (*.f64 2 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x 3/8))))))) |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
Compiled 53 to 46 computations (13.2% saved)
| Inputs |
|---|
(*.f64 2 (atan.f64 1)) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)) |
(*.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 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x 3/8))))))) |
(*.f64 2 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16))))))))) |
(*.f64 2 (atan.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2)))) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
9 calls:
| 5.0ms | x |
| 3.0ms | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| 2.0ms | (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
| 2.0ms | (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
| 2.0ms | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| 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 174 to 142 computations (18.4% saved)
Total -0.4b remaining (-104.3%)
Threshold costs -0.4b (-104.3%)
| Inputs |
|---|
(*.f64 2 (atan.f64 1)) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (-.f64 1 x))) |
1 calls:
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.4b | 1 | x |
Compiled 23 to 20 computations (13% saved)
| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 3× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 32 |
| 1 | 24 | 32 |
| 2 | 28 | 32 |
| 3 | 30 | 32 |
| 4 | 31 | 32 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 1)) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
(*.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 1 x))) |
(*.f64 2 (atan.f64 1)) |
Compiled 24 to 21 computations (12.5% 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 22 to 19 computations (13.6% saved)
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