Time bar (total: 5.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 0% | 0% | 75% | 0% | 0% | 25% | 0% | 3 |
| 40% | 25% | 37.5% | 0% | 0% | 37.5% | 0% | 4 |
| 66.7% | 37.5% | 18.7% | 0% | 0% | 43.7% | 0% | 5 |
| 82.4% | 43.7% | 9.4% | 0% | 0% | 46.9% | 0% | 6 |
| 90.9% | 46.9% | 4.7% | 0% | 0% | 48.4% | 0% | 7 |
| 95.4% | 48.4% | 2.3% | 0% | 0% | 49.2% | 0% | 8 |
| 97.7% | 49.2% | 1.2% | 0% | 0% | 49.6% | 0% | 9 |
| 98.8% | 49.6% | 0.6% | 0% | 0% | 49.8% | 0% | 10 |
| 99.4% | 49.8% | 0.3% | 0% | 0% | 49.9% | 0% | 11 |
| 99.7% | 49.9% | 0.1% | 0% | 0% | 49.9% | 0% | 12 |
Compiled 13 to 11 computations (15.4% saved)
| 1.0s | 8256× | body | 256 | valid |
| 1.0ms | 14× | body | 256 | invalid |
| 2× | egg-herbie |
| 448× | fma-def |
| 400× | associate--l- |
| 288× | associate--r- |
| 258× | associate-+l- |
| 216× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 33 |
| 1 | 21 | 33 |
| 2 | 27 | 33 |
| 3 | 38 | 33 |
| 4 | 60 | 33 |
| 5 | 87 | 33 |
| 6 | 128 | 33 |
| 7 | 211 | 33 |
| 8 | 393 | 33 |
| 9 | 649 | 33 |
| 10 | 937 | 33 |
| 11 | 1245 | 33 |
| 12 | 1773 | 33 |
| 13 | 2205 | 33 |
| 14 | 2702 | 33 |
| 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))))) |
Compiled 13 to 11 computations (15.4% saved)
| 1× | egg-herbie |
| 448× | fma-def |
| 400× | associate--l- |
| 288× | associate--r- |
| 258× | associate-+l- |
| 216× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 33 |
| 1 | 21 | 33 |
| 2 | 27 | 33 |
| 3 | 38 | 33 |
| 4 | 60 | 33 |
| 5 | 87 | 33 |
| 6 | 128 | 33 |
| 7 | 211 | 33 |
| 8 | 393 | 33 |
| 9 | 649 | 33 |
| 10 | 937 | 33 |
| 11 | 1245 | 33 |
| 12 | 1773 | 33 |
| 13 | 2205 | 33 |
| 14 | 2702 | 33 |
| 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))))) |
Compiled 12 to 10 computations (16.7% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.02% | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
Compiled 12 to 10 computations (16.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.02% | (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
| ✓ | 0.03% | (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| ✓ | 0.04% | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
Compiled 45 to 34 computations (24.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| 0.0ms | x | @ | inf | (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
| 0.0ms | x | @ | 0 | (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| 1× | batch-egg-rewrite |
| 1636× | associate-/r* |
| 1146× | associate-/l* |
| 980× | *-commutative |
| 978× | associate-/r/ |
| 538× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 69 |
| 1 | 212 | 69 |
| 2 | 2851 | 69 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) (*.f64 1 (neg.f64 (/.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (neg.f64 (/.f64 x (+.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) 1) (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x 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| 1× | egg-herbie |
| 1552× | associate-*r/ |
| 1290× | associate-*l/ |
| 634× | +-commutative |
| 508× | associate-+r+ |
| 426× | associate-+l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 417 | 7007 |
| 1 | 1102 | 6459 |
| 2 | 4193 | 6249 |
| 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))))) |
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 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(+.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 (/.f64 x (+.f64 1 x)))) |
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 1 (neg.f64 (/.f64 x (+.f64 1 x))))) |
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x))) |
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (neg.f64 (/.f64 x (+.f64 1 x))) 1)) |
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x)))) |
(+.f64 (neg.f64 (/.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 1 x))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)) (/.f64 1 (+.f64 1 x))) |
(+.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) 1) (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (-.f64 (*.f64 x x) x))) |
(+.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (-.f64 (*.f64 x x) x)) (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) 1)) |
(+.f64 (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 1 x))) |
(+.f64 (*.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (*.f64 (-.f64 (*.f64 x x) x) (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))))) |
(+.f64 (*.f64 (-.f64 (*.f64 x x) x) (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (*.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))))) |
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (+.f64 1 x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1) |
(*.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(*.f64 (-.f64 1 x) (/.f64 1 (+.f64 1 x))) |
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x))) |
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x)) |
(*.f64 (-.f64 (*.f64 x x) (-.f64 x 1)) (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3)))) |
(*.f64 (+.f64 -1 x) (/.f64 1 (-.f64 -1 x))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x)))) |
(*.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) |
(*.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) |
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 x) 2)) |
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (*.f64 (-.f64 1 x) (-.f64 (*.f64 x x) (-.f64 x 1)))) |
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (-.f64 (*.f64 x x) (-.f64 x 1))) |
(*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 -1 x)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x))) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (+.f64 1 x)) (cbrt.f64 (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 1 x) (neg.f64 (-.f64 1 (*.f64 x x)))) (+.f64 -1 x)) |
(*.f64 (/.f64 (-.f64 1 x) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (neg.f64 (-.f64 (*.f64 x x) (-.f64 x 1)))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 x x)))) (pow.f64 (-.f64 1 x) 2)) |
(*.f64 (/.f64 1 (/.f64 (+.f64 1 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (cbrt.f64 (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 1 x) (/.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 1 x) (/.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (cbrt.f64 (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 1 x) (-.f64 (*.f64 x x) 1)) (-.f64 x 1)) |
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (-.f64 (*.f64 x x) (-.f64 x 1)) (-.f64 (*.f64 x x) (-.f64 x 1)))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (-.f64 1 x) (-.f64 (*.f64 x x) (-.f64 x 1)))) |
(*.f64 (/.f64 (+.f64 -1 x) (neg.f64 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)) |
(*.f64 (/.f64 (+.f64 -1 x) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (-.f64 (*.f64 x x) (-.f64 x 1))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 x))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (-.f64 (*.f64 x x) (-.f64 x 1)))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 (pow.f64 x 3))) (-.f64 1 (*.f64 (fma.f64 x x x) (fma.f64 x x x)))) (-.f64 1 (fma.f64 x x x))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (pow.f64 (fma.f64 x x x) 3))) (+.f64 1 (-.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (fma.f64 x x x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 x))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (-.f64 (*.f64 x x) (-.f64 x 1)))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 x))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (-.f64 (*.f64 x x) (-.f64 x 1)))) |
(*.f64 (/.f64 (-.f64 (+.f64 1 x) (fma.f64 x x x)) (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 x x)))) (pow.f64 (-.f64 1 x) 2)) |
(*.f64 (/.f64 (-.f64 (+.f64 1 x) (fma.f64 x x x)) (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (-.f64 (*.f64 x x) (-.f64 x 1)) (-.f64 (*.f64 x x) (-.f64 x 1)))) |
(*.f64 (/.f64 (-.f64 (+.f64 1 x) (fma.f64 x x x)) (*.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x)))) (-.f64 1 x)) |
(*.f64 (/.f64 (-.f64 (+.f64 1 x) (fma.f64 x x x)) (*.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (-.f64 (*.f64 x x) (-.f64 x 1))) |
(*.f64 (/.f64 (-.f64 (+.f64 1 x) (fma.f64 x x x)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (-.f64 1 x) (-.f64 (*.f64 x x) (-.f64 x 1)))) |
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2) 1/2) |
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3) 1/3) |
(pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1) |
(neg.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1) |
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 1 1/2)) |
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x)))) |
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) |
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (/.f64 1 (+.f64 1 x)) 1/2)) |
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/2) (sqrt.f64 (-.f64 1 x))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2)) 1/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2)) 1/2)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (-.f64 (*.f64 x x) (-.f64 x 1)))) |
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) |
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) |
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) |
(/.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))) |
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x)) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))) |
(/.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (-.f64 -1 x))) |
(/.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (sqrt.f64 (-.f64 1 x))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x)))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 x)))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 x)))) |
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/2) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1) |
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2) |
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3) |
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1) |
(*.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1) |
(*.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) |
(*.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2)) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) |
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1) |
(pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2) |
(pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3) |
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3) |
(sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2)) |
(log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) |
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) |
(cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)) |
(expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) |
(exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) |
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) |
| 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)) |
(+.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)) |
-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 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (+.f64 1 (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x))))) |
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(+.f64 (/.f64 2 x) -1) |
(+.f64 -1 (/.f64 2 x)) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (/.f64 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 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (+.f64 1 (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x))))) |
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))) |
1 |
(+.f64 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 1 (*.f64 x (-.f64 (*.f64 1/2 x) 1))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(+.f64 1 (-.f64 (fma.f64 (pow.f64 x 3) -1/2 (*.f64 x (*.f64 x 1/2))) x)) |
(+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -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)))))) |
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(sqrt.f64 -1) |
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1) |
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(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/2) (sqrt.f64 (-.f64 1 x))) |
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2)) 1/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2)) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2)) 1/2)) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 x))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) |
(/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (-.f64 (*.f64 x x) (-.f64 x 1)))) |
(*.f64 (sqrt.f64 (+.f64 (fma.f64 x x (neg.f64 x)) 1)) (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 (pow.f64 x 3))))) |
(*.f64 (sqrt.f64 (fma.f64 x x (-.f64 1 x))) (/.f64 (sqrt.f64 (-.f64 1 x)) (hypot.f64 1 (pow.f64 x 3/2)))) |
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) |
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))) |
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) |
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x))) |
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) |
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) |
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x))) |
(/.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) |
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x)) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (-.f64 1 x)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 x))) (/.f64 (fabs.f64 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (fma.f64 x x x)))) (sqrt.f64 (+.f64 1 x))) |
(/.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (-.f64 -1 x))) |
(/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (-.f64 -1 x))) |
(/.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (sqrt.f64 (-.f64 1 x))))) |
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (sqrt.f64 (-.f64 1 x)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x)))) |
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x))) |
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) |
(/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)))) |
(/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 x)))) |
(/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))) |
(/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 x)))) |
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x))) |
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) |
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/2) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)) |
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2)) |
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/2) |
(sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(*.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(*.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(*.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2)) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) |
(*.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))) |
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2)) |
(fabs.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
Compiled 5601 to 4336 computations (22.6% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 267 | 5 | 272 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 267 | 6 | 273 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.02% | (*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))) |
| ▶ | 0.03% | (*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))))) |
| ▶ | 1.62% | (*.f64 2 (atan.f64 (-.f64 1 x))) |
| ▶ | 0.93% | (*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x)))) |
| ▶ | 1.24% | (*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x)))) |
| ✓ | 0.02% | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
Compiled 142 to 114 computations (19.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.01% | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| ✓ | 0.02% | (atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
| ✓ | 0.02% | (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))) |
Compiled 55 to 33 computations (40% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))) |
| 0.0ms | x | @ | -inf | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| 1× | batch-egg-rewrite |
| 1640× | associate-*r/ |
| 1290× | associate-*l/ |
| 1254× | associate-/r* |
| 1122× | associate-/l* |
| 1056× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 79 |
| 1 | 237 | 79 |
| 2 | 3233 | 67 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))) |
(atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (neg.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 x) (/.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (sqrt.f64 (-.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (/.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (/.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (-.f64 1 x) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (+.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (+.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 4)))) (sqrt.f64 (+.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (pow.f64 x 4)))) (cbrt.f64 (+.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 4)))) (sqrt.f64 (+.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) 1) (sqrt.f64 (+.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) 1) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (+.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 6))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) |
| 1× | egg-herbie |
| 1550× | associate-/r* |
| 880× | times-frac |
| 878× | associate-/l* |
| 700× | unswap-sqr |
| 564× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 280 | 4877 |
| 1 | 662 | 4455 |
| 2 | 2374 | 4417 |
| 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 -1 (sqrt.f64 -1)) |
(+.f64 (/.f64 (sqrt.f64 -1) x) (*.f64 -1 (sqrt.f64 -1))) |
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 -1 (sqrt.f64 -1)))) |
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 -1 (sqrt.f64 -1)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))))) |
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) |
(-.f64 (+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) |
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x)))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x)))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x)))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x)))) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4))))) |
(*.f64 (sqrt.f64 -1) x) |
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) |
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) |
(*.f64 -1 (*.f64 (sqrt.f64 -1) x)) |
(-.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x)))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x)))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))) |
(+.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (neg.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) |
(+.f64 (neg.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) |
(-.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1) |
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(*.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1) |
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)) |
(*.f64 (+.f64 -1 x) (/.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (sqrt.f64 (-.f64 1 x)) 1)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1)) |
(*.f64 (/.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (/.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))) |
(*.f64 (/.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (/.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))) |
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (-.f64 1 x) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) |
(*.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (/.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (+.f64 -1 x)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (/.f64 (cbrt.f64 (-.f64 1 x)) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1) |
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) |
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) |
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3) 1/3) |
(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) -1) |
(neg.f64 (/.f64 (-.f64 1 x) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) |
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1) |
(*.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1) |
(*.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) |
(*.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) |
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1) |
(pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2) |
(pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3) |
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3) |
(sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2)) |
(log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) |
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) |
(cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)) |
(expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) |
(exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) |
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1) |
(*.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) |
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) |
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 1 1/2)) |
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) |
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (*.f64 x x)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1/2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) 1/2)) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (+.f64 1 (*.f64 x x)))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))) |
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 4)))) (sqrt.f64 (+.f64 1 (*.f64 x x)))) |
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))) |
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (pow.f64 x 4)))) (cbrt.f64 (+.f64 1 (*.f64 x x)))) |
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))) |
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 4)))) (sqrt.f64 (+.f64 1 (*.f64 x x)))) |
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) 1) (sqrt.f64 (+.f64 1 (*.f64 x x)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) 1) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (+.f64 1 (*.f64 x x)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 6))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))) |
(pow.f64 (-.f64 1 (*.f64 x x)) 1/2) |
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) |
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 2) |
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) |
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1/3) |
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) |
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x 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 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 (fma.f64 -1/2 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) (-.f64 1 x)) |
(+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2)))) |
(*.f64 -1 (sqrt.f64 -1)) |
(neg.f64 (sqrt.f64 -1)) |
(+.f64 (/.f64 (sqrt.f64 -1) x) (*.f64 -1 (sqrt.f64 -1))) |
(+.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 (sqrt.f64 -1) x)) |
(-.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) |
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 -1 (sqrt.f64 -1)))) |
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))))) |
(+.f64 (-.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) (/.f64 1/2 (*.f64 x (*.f64 x (sqrt.f64 -1))))) |
(+.f64 (-.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1)))) |
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 -1 (sqrt.f64 -1)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))))) |
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))))) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))) |
(+.f64 (-.f64 (/.f64 1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1)) (+.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 -1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))) |
(+.f64 (/.f64 (sqrt.f64 -1) x) (-.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1/2 (pow.f64 x 3)) (sqrt.f64 -1))))) |
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) |
(+.f64 (sqrt.f64 -1) (/.f64 (neg.f64 (sqrt.f64 -1)) x)) |
(-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x)) |
(-.f64 (+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) |
(-.f64 (+.f64 (sqrt.f64 -1) (/.f64 (neg.f64 (sqrt.f64 -1)) x)) (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1)))) |
(+.f64 (-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x)) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1))))) |
(-.f64 (sqrt.f64 -1) (-.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x)))) |
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) |
(+.f64 (sqrt.f64 -1) (-.f64 (+.f64 (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (/.f64 (neg.f64 (sqrt.f64 -1)) x)) (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (-.f64 (/.f64 (/.f64 1/2 (pow.f64 x 3)) (sqrt.f64 -1)) (/.f64 (sqrt.f64 -1) x)) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (-.f64 (/.f64 (/.f64 1/2 (pow.f64 x 3)) (sqrt.f64 -1)) (/.f64 (sqrt.f64 -1) x)) (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x)))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x)))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x)))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x)))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x)))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x))) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 (*.f64 x x) -1/2)) |
(fma.f64 (*.f64 x x) -1/2 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/8 (pow.f64 x 4)))) |
(+.f64 (fma.f64 (*.f64 x x) -1/2 1) (*.f64 -1/8 (pow.f64 x 4))) |
(+.f64 1 (fma.f64 (*.f64 x x) -1/2 (*.f64 -1/8 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/16 (pow.f64 x 6) (*.f64 -1/8 (pow.f64 x 4))))) |
(+.f64 (fma.f64 (*.f64 x x) -1/2 1) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 -1/16 (pow.f64 x 6)))) |
(*.f64 (sqrt.f64 -1) x) |
(*.f64 x (sqrt.f64 -1)) |
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)) |
(+.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) |
(fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) |
(fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) |
(-.f64 (+.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))) |
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) (/.f64 -1/8 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))) |
(+.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) |
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(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 1 1/2)) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (*.f64 x x)))) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1/2)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) 1/2)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (+.f64 1 (*.f64 x x)))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x)) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))))) |
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 4)))) (sqrt.f64 (+.f64 1 (*.f64 x x)))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x)) |
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))))) |
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (pow.f64 x 4)))) (cbrt.f64 (+.f64 1 (*.f64 x x)))) |
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (-.f64 1 (pow.f64 x 4))))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (fma.f64 x x 1)))) |
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))) |
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (cbrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))) (cbrt.f64 (-.f64 1 (pow.f64 x 6))))) |
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))))) (cbrt.f64 (-.f64 1 (pow.f64 x 6)))) |
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 6))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))) |
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 4)))) (sqrt.f64 (+.f64 1 (*.f64 x x)))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x)) |
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) 1) (sqrt.f64 (+.f64 1 (*.f64 x x)))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x)) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) 1) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (+.f64 1 (*.f64 x x)))) |
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (-.f64 1 (pow.f64 x 4))))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (fma.f64 x x 1)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 6))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))) |
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (cbrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))) (cbrt.f64 (-.f64 1 (pow.f64 x 6))))) |
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))))) (cbrt.f64 (-.f64 1 (pow.f64 x 6)))) |
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 6))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))) |
(pow.f64 (-.f64 1 (*.f64 x x)) 1/2) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 2) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1/3) |
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) |
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2)) |
(exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (*.f64 x x))))) |
(sqrt.f64 (exp.f64 (log1p.f64 (*.f64 x (neg.f64 x))))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
Compiled 17 to 13 computations (23.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.01% | (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x)) |
| ✓ | 0.01% | (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))) |
Compiled 51 to 35 computations (31.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))) |
| 0.0ms | x | @ | inf | (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x)) |
| 0.0ms | x | @ | 0 | (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))) |
| 0.0ms | x | @ | inf | (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))) |
| 0.0ms | x | @ | -inf | (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x)) |
| 1× | batch-egg-rewrite |
| 1044× | *-commutative |
| 838× | associate-*r/ |
| 668× | distribute-lft-in |
| 660× | distribute-rgt-in |
| 600× | associate-*l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 54 |
| 1 | 236 | 54 |
| 2 | 3031 | 54 |
| 1× | node limit |
| Inputs |
|---|
(atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))) |
(+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) (sqrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) 2) (cbrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) (-.f64 1 (+.f64 1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) (+.f64 1 (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2))))) (/.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (fma.f64 x (*.f64 x 1/2) x)) (-.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x 1/2) x)) 1))))) 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 2 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) (sqrt.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 2) (cbrt.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 1))))) |
| 1× | egg-herbie |
| 1340× | associate-/l* |
| 1042× | associate-/r* |
| 920× | *-commutative |
| 730× | associate-+r+ |
| 590× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 277 | 7469 |
| 1 | 771 | 6865 |
| 2 | 3332 | 6761 |
| 1× | node limit |
| Inputs |
|---|
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) 1) |
(*.f64 1 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) |
(*.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 1) |
(*.f64 (sqrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) (sqrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) |
(*.f64 (cbrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) 2) (cbrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) |
(pow.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 1) |
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) 2) |
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) 3) |
(pow.f64 (pow.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 3) 1/3) |
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 2)) |
(log.f64 (exp.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) |
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))) |
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 3)) |
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) |
(exp.f64 (log.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) |
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) |
(-.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 x 1)) |
(-.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 0) |
(-.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) x) |
(-.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) (-.f64 1 (+.f64 1 (neg.f64 x)))) |
(-.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) (+.f64 1 (-.f64 x 1))) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) 1) |
(-.f64 (/.f64 1 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2))))) (/.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (fma.f64 x (*.f64 x 1/2) x)) (-.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x 1/2) x)) 1)) |
(-.f64 (/.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (*.f64 x (fma.f64 x (*.f64 x 1/2) x)))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (*.f64 x (fma.f64 x (*.f64 x 1/2) x)))) 1)) |
(-.f64 (+.f64 2 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 1) |
(-.f64 (+.f64 1 (/.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (fma.f64 x (*.f64 x 1/2) x))) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x 1/2) x))) |
(-.f64 (+.f64 1 (/.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (*.f64 x (fma.f64 x (*.f64 x 1/2) x))))) (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (*.f64 x (fma.f64 x (*.f64 x 1/2) x))))) |
(-.f64 (+.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) 0) x) |
(*.f64 1 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) |
(*.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 1) |
(*.f64 (sqrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) (sqrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) |
(*.f64 (cbrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 2) (cbrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) |
(*.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2)) (/.f64 1 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2)))))) |
(*.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) |
(*.f64 (/.f64 1 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2))))) (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2))) |
(*.f64 (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2)) (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2))) (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2)) (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3))) (+.f64 1 (+.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3)) (-.f64 1 (*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) (+.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2)) (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3)) (+.f64 1 (pow.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 3))) (+.f64 1 (*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) (-.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 1)))) |
(/.f64 1 (/.f64 1 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) |
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2)) (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2))))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) (sqrt.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3))))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2))) (/.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2)))) (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3)))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2)))) (/.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2)))) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2))))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3) (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3))) (*.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) 1) (-.f64 (*.f64 x (*.f64 x 1/2)) (+.f64 1 x))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2))) (*.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2)))) (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2)))) |
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) (+.f64 1 (*.f64 x (*.f64 x 1/2)))) (*.f64 x x)) (+.f64 1 (fma.f64 x (*.f64 x 1/2) x))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3) 3)) (*.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) (+.f64 1 (*.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3) (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3) 1))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) 3)) (*.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2)))) (+.f64 1 (*.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2)))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) 3) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) (+.f64 1 (*.f64 x (*.f64 x 1/2)))) (*.f64 x (+.f64 1 (fma.f64 x (*.f64 x 1/2) x))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2))) (neg.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2)))))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) |
(/.f64 (*.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) 1)) (-.f64 (*.f64 x (*.f64 x 1/2)) (+.f64 1 x))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) (+.f64 1 (*.f64 x (*.f64 x 1/2)))) (*.f64 x x))) (+.f64 1 (fma.f64 x (*.f64 x 1/2) x))) |
(/.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) 3) (pow.f64 x 3))) (+.f64 (*.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) (+.f64 1 (*.f64 x (*.f64 x 1/2)))) (*.f64 x (+.f64 1 (fma.f64 x (*.f64 x 1/2) x))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) (sqrt.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2)))) (sqrt.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2)))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2)))) (cbrt.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) 1) 1) (-.f64 (*.f64 x (*.f64 x 1/2)) (+.f64 1 x))) |
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) (+.f64 1 (*.f64 x (*.f64 x 1/2)))) (*.f64 x x)) 1) (+.f64 1 (fma.f64 x (*.f64 x 1/2) x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) 3) (pow.f64 x 3)) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) (+.f64 1 (*.f64 x (*.f64 x 1/2)))) (*.f64 x (+.f64 1 (fma.f64 x (*.f64 x 1/2) x))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2))) 1) (neg.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2)))))) |
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3))) 1) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3))) (sqrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2))) (sqrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) (sqrt.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2)))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 2)) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 2)) (cbrt.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2)))))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2))) (/.f64 1 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2)))))) (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) 3)) (/.f64 1 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2)))))) (+.f64 1 (*.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2))))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3) (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3))) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) (+.f64 1 (*.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3) (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3) 1)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2)) 1) (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2)) (sqrt.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2)))))) (sqrt.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2)))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2)) (*.f64 (cbrt.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2))))) (cbrt.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2))))))) (cbrt.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2)))))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) |
(pow.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 1) |
(pow.f64 (sqrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 3) |
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 2)) |
(log.f64 (exp.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 3)) |
(expm1.f64 (log.f64 (+.f64 2 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) |
(exp.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) |
(log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) |
(fma.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 1) |
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) (sqrt.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 2) (cbrt.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 1) |
| Outputs |
|---|
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 1 x))) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 1 x))) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 1 x))) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 1 x))) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 1 x))) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 1 x))) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 1 x))) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 1 x))) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 1 x))) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 1 x))) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 1 x))) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 1 x))) |
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 (fma.f64 1/2 (*.f64 x x) 1) x) |
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 x (*.f64 1/2 x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(fma.f64 1/2 (*.f64 x x) (neg.f64 x)) |
(-.f64 (*.f64 x (*.f64 1/2 x)) x) |
(-.f64 (*.f64 1/2 (*.f64 x x)) x) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 x (*.f64 1/2 x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(fma.f64 1/2 (*.f64 x x) (neg.f64 x)) |
(-.f64 (*.f64 x (*.f64 1/2 x)) x) |
(-.f64 (*.f64 1/2 (*.f64 x x)) x) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x)) |
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) 1) |
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 1 x))) |
(*.f64 1 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) |
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 1 x))) |
(*.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 1) |
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 1 x))) |
(*.f64 (sqrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) (sqrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) |
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 1 x))) |
(*.f64 (cbrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) 2)) |
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 1 x))) |
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) 2) (cbrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) |
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 1 x))) |
(pow.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 1) |
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 1 x))) |
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) 2) |
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 1 x))) |
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) 3) |
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
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(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) 3)) (/.f64 1 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2)))))) (+.f64 1 (*.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 2) 3)) (*.f64 (+.f64 x (-.f64 1 (*.f64 1/2 (*.f64 x x)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 2) 1) (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 4))))) |
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 6)) (*.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 1/2 x)))) (+.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 2) (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 4))))) |
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) 6)) (*.f64 (-.f64 x (fma.f64 1/2 (*.f64 x x) -1)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) 4) (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) 2))))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3) (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3))) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3))) |
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 6)) (*.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 2) (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) (-.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 3)))) |
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 6)) (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 2) (-.f64 (fma.f64 1/2 (*.f64 x x) -1) x)) (-.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 3)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) 6)) (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) 3))) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) (fma.f64 1/2 (*.f64 x x) (-.f64 -1 x))))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) (+.f64 1 (*.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3) (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3) 1)))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 3) 3)) (*.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 2) (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) (+.f64 1 (*.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 3) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 3) -1))))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 3) 3)) (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 2) (-.f64 (fma.f64 1/2 (*.f64 x x) -1) x)) (fma.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 3) (+.f64 -1 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 3)) 1))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) 3) 3)) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) (fma.f64 1/2 (*.f64 x x) (-.f64 -1 x))))) (fma.f64 (pow.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) 3) (+.f64 -1 (pow.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) 3)) 1)) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2)) 1) (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2))))) |
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 2)) (+.f64 x (-.f64 1 (*.f64 1/2 (*.f64 x x))))) |
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 2)) (+.f64 x (-.f64 1 (*.f64 x (*.f64 1/2 x))))) |
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) 2)) (-.f64 x (fma.f64 1/2 (*.f64 x x) -1))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2)) (sqrt.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2)))))) (sqrt.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2)))))) |
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 2)) (+.f64 x (-.f64 1 (*.f64 1/2 (*.f64 x x))))) |
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 2)) (+.f64 x (-.f64 1 (*.f64 x (*.f64 1/2 x))))) |
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) 2)) (-.f64 x (fma.f64 1/2 (*.f64 x x) -1))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2)) (*.f64 (cbrt.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2))))) (cbrt.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2))))))) (cbrt.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2)))))) |
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 2)) (+.f64 x (-.f64 1 (*.f64 1/2 (*.f64 x x))))) |
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 2)) (+.f64 x (-.f64 1 (*.f64 x (*.f64 1/2 x))))) |
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) 2)) (-.f64 x (fma.f64 1/2 (*.f64 x x) -1))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) |
(*.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 2) (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))))) |
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 3)) (-.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 2) (-.f64 (fma.f64 1/2 (*.f64 x x) -1) x))) |
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) 3)) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) (fma.f64 1/2 (*.f64 x x) (-.f64 -1 x))))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) |
(*.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 2) (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))))) |
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 3)) (-.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 2) (-.f64 (fma.f64 1/2 (*.f64 x x) -1) x))) |
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) 3)) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) (fma.f64 1/2 (*.f64 x x) (-.f64 -1 x))))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) |
(*.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 2) (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))))) |
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 3)) (-.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 2) (-.f64 (fma.f64 1/2 (*.f64 x x) -1) x))) |
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) 3)) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) (fma.f64 1/2 (*.f64 x x) (-.f64 -1 x))))) |
(pow.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 1) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x)) |
(pow.f64 (sqrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 2) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x)) |
(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 3) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x)) |
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 3) 1/3) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x)) |
(sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 2)) |
(sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) 2)) |
(fabs.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(fabs.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 1 x))) |
(log.f64 (exp.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x)) |
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 3)) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x)) |
(expm1.f64 (log.f64 (+.f64 2 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x)) |
(exp.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) |
(exp.f64 (log1p.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(exp.f64 (log1p.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x))) |
(exp.f64 (log1p.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x))) |
(log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x)) |
(fma.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 1) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x)) |
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) (sqrt.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 1) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 2) (cbrt.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 1) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.01% | (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))) |
| ✓ | 0.05% | (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) |
Compiled 80 to 51 computations (36.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) |
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) |
| 0.0ms | x | @ | -inf | (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) |
| 0.0ms | x | @ | -inf | (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))) |
| 0.0ms | x | @ | inf | (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))) |
| 1× | batch-egg-rewrite |
| 1742× | associate-*r/ |
| 1372× | associate-*l/ |
| 448× | associate-+l+ |
| 328× | +-commutative |
| 324× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 66 |
| 1 | 313 | 58 |
| 2 | 4241 | 58 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) |
(atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) (-.f64 (*.f64 -1/2 (pow.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) 1) (*.f64 (*.f64 -1/2 (pow.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/2 (pow.f64 x 3)) 1) (*.f64 (*.f64 x (*.f64 x 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (/.f64 (+.f64 1/2 (*.f64 1/2 x)) (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x))) (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))) (+.f64 1/2 (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3))) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/4)) (*.f64 x x)) (+.f64 1/2 (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3)) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/2))) (*.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) (-.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) (sqrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))))))) |
| 1× | egg-herbie |
| 1184× | associate-/l* |
| 1152× | distribute-lft-in |
| 1068× | distribute-rgt-in |
| 1044× | *-commutative |
| 860× | associate-/r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 227 | 4390 |
| 1 | 626 | 3922 |
| 2 | 2872 | 3794 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) |
(*.f64 -1/2 (pow.f64 x 3)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 -1/2 (pow.f64 x 3)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3))) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1/2 x) 1/2) (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1/2 x) 1/2) (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1/2 x) 1/2) (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1/2 x) 1/2) (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x))) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x))) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x))) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x))) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x))))) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x))))) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x))))) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x))))) |
(+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 0) |
(+.f64 1 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1)) |
(+.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 3))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 x (*.f64 x 1/2))) |
(+.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) (-.f64 (*.f64 -1/2 (pow.f64 x 3)) 1)) |
(+.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) 1) (*.f64 (*.f64 -1/2 (pow.f64 x 3)) 1)) |
(+.f64 (*.f64 (*.f64 -1/2 (pow.f64 x 3)) 1) (*.f64 (*.f64 x (*.f64 x 1/2)) 1)) |
(-.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1) 1) |
(/.f64 (*.f64 x x) (/.f64 (+.f64 1/2 (*.f64 1/2 x)) (-.f64 1/4 (*.f64 (*.f64 x x) 1/4)))) |
(/.f64 (*.f64 x x) (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x))) (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3)))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))) (+.f64 1/2 (*.f64 1/2 x))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3))) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x)))) |
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/4)) (*.f64 x x)) (+.f64 1/2 (*.f64 1/2 x))) |
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3)) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/2))) (*.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) (-.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 3)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 3) (pow.f64 (*.f64 -1/2 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/2))) (-.f64 (*.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3))) (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 3)))))) |
(/.f64 (*.f64 x (*.f64 x (-.f64 1/4 (*.f64 (*.f64 x x) 1/4)))) (+.f64 1/2 (*.f64 1/2 x))) |
(/.f64 (*.f64 x (*.f64 x (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3)))) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x)))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) 1/4) 1/4)) (-.f64 (*.f64 x -1/2) 1/2)) |
(/.f64 (*.f64 (*.f64 x x) (neg.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/4)))) (neg.f64 (+.f64 1/2 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (*.f64 x x) (neg.f64 (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3)))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x))))) |
(/.f64 (*.f64 1 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 (*.f64 x x) 1/4)))) (+.f64 1/2 (*.f64 1/2 x))) |
(/.f64 (*.f64 1 (*.f64 (*.f64 x x) (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3)))) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x)))) |
(/.f64 (*.f64 1 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/4)) (*.f64 x x))) (+.f64 1/2 (*.f64 1/2 x))) |
(/.f64 (*.f64 1 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3)) (*.f64 x x))) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x)))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/2))) (*.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3))))) (-.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 3)))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 3) (pow.f64 (*.f64 -1/2 (pow.f64 x 3)) 3))) (+.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/2))) (-.f64 (*.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3))) (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 3)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/4)))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3)))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x))))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2)) (cbrt.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/4)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2)) (cbrt.f64 (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) 1/4) (*.f64 x x)) (-.f64 (*.f64 x -1/2) 1/2)) |
(/.f64 (*.f64 (neg.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))) (*.f64 x x)) (neg.f64 (+.f64 1/2 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3))) (*.f64 x x)) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x))))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))) 1) (+.f64 1/2 (*.f64 1/2 x))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3))) 1) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x)))) |
(/.f64 (*.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/4)) (*.f64 x x)) 1) (+.f64 1/2 (*.f64 1/2 x))) |
(/.f64 (*.f64 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3)) (*.f64 x x)) 1) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/2))) (*.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) 1) (-.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 3)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 3) (pow.f64 (*.f64 -1/2 (pow.f64 x 3)) 3)) 1) (+.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/2))) (-.f64 (*.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3))) (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 3)))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))) (*.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) (*.f64 x x))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3))) (*.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) (*.f64 x x))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x))))) |
(/.f64 (*.f64 (*.f64 x (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))) x) (+.f64 1/2 (*.f64 1/2 x))) |
(/.f64 (*.f64 (*.f64 x (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3))) x) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x)))) |
(pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1) |
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))) 3) |
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 2)) |
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 x -1/2 1/2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))))) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)))) |
(exp.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)))) |
(fma.f64 (*.f64 x x) 1/2 (*.f64 -1/2 (pow.f64 x 3))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))) 1) |
(*.f64 1 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) |
(*.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 1) |
(*.f64 (sqrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) (sqrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))) |
(*.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))) |
(pow.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 1) |
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) 2) |
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) 3) |
(pow.f64 (pow.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 3) 1/3) |
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 2)) |
(log.f64 (exp.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))))) |
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 3)) |
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))) |
(exp.f64 (log.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))) |
(exp.f64 (*.f64 (log.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) 1)) |
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))) |
| Outputs |
|---|
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 x (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 -1/2 (pow.f64 x 3)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 -1/2 (pow.f64 x 3)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1/2 x) 1/2) (pow.f64 x 2))) x)) |
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1/2 x) 1/2) (pow.f64 x 2))) x)) |
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1/2 x) 1/2) (pow.f64 x 2))) x)) |
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1/2 x) 1/2) (pow.f64 x 2))) x)) |
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x))) |
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x))) |
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x))) |
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x))) |
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x))))) |
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x))))) |
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x))))) |
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x))))) |
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 0) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1)) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(+.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 3))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 x (*.f64 x 1/2))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(+.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) (-.f64 (*.f64 -1/2 (pow.f64 x 3)) 1)) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) 1) (*.f64 (*.f64 -1/2 (pow.f64 x 3)) 1)) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(+.f64 (*.f64 (*.f64 -1/2 (pow.f64 x 3)) 1) (*.f64 (*.f64 x (*.f64 x 1/2)) 1)) |
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(/.f64 (*.f64 (neg.f64 (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3))) (*.f64 x x)) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x))))) |
(*.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 1/4 (+.f64 1/4 (*.f64 1/4 x)))) (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/8))) |
(*.f64 (fma.f64 (pow.f64 x 3) -1/8 1/8) (/.f64 x (/.f64 (+.f64 (fma.f64 (*.f64 x x) 1/4 1/4) (*.f64 x 1/4)) x))) |
(*.f64 x (*.f64 (/.f64 x (+.f64 1/4 (*.f64 (+.f64 x 1) (*.f64 x 1/4)))) (fma.f64 (pow.f64 x 3) -1/8 1/8))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))) 1) (+.f64 1/2 (*.f64 1/2 x))) |
(*.f64 (/.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/2 x))) (-.f64 1/4 (*.f64 x (*.f64 x 1/4)))) |
(*.f64 (+.f64 1/4 (*.f64 (*.f64 x x) -1/4)) (/.f64 (*.f64 x x) (fma.f64 1/2 x 1/2))) |
(*.f64 x (/.f64 x (/.f64 (fma.f64 x -1/2 -1/2) (fma.f64 x (*.f64 x 1/4) -1/4)))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3))) 1) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x)))) |
(*.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 1/4 (+.f64 1/4 (*.f64 1/4 x)))) (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/8))) |
(*.f64 (fma.f64 (pow.f64 x 3) -1/8 1/8) (/.f64 x (/.f64 (+.f64 (fma.f64 (*.f64 x x) 1/4 1/4) (*.f64 x 1/4)) x))) |
(*.f64 x (*.f64 (/.f64 x (+.f64 1/4 (*.f64 (+.f64 x 1) (*.f64 x 1/4)))) (fma.f64 (pow.f64 x 3) -1/8 1/8))) |
(/.f64 (*.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/4)) (*.f64 x x)) 1) (+.f64 1/2 (*.f64 1/2 x))) |
(*.f64 (/.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/2 x))) (-.f64 1/4 (*.f64 x (*.f64 x 1/4)))) |
(*.f64 (+.f64 1/4 (*.f64 (*.f64 x x) -1/4)) (/.f64 (*.f64 x x) (fma.f64 1/2 x 1/2))) |
(*.f64 x (/.f64 x (/.f64 (fma.f64 x -1/2 -1/2) (fma.f64 x (*.f64 x 1/4) -1/4)))) |
(/.f64 (*.f64 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3)) (*.f64 x x)) 1) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x)))) |
(*.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 1/4 (+.f64 1/4 (*.f64 1/4 x)))) (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/8))) |
(*.f64 (fma.f64 (pow.f64 x 3) -1/8 1/8) (/.f64 x (/.f64 (+.f64 (fma.f64 (*.f64 x x) 1/4 1/4) (*.f64 x 1/4)) x))) |
(*.f64 x (*.f64 (/.f64 x (+.f64 1/4 (*.f64 (+.f64 x 1) (*.f64 x 1/4)))) (fma.f64 (pow.f64 x 3) -1/8 1/8))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/2))) (*.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) 1) (-.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 3)))) |
(/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 1/2 x) (*.f64 1/2 (*.f64 x x)))) (*.f64 1/4 (*.f64 (pow.f64 x 3) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 1/2 (pow.f64 x 3)))) |
(/.f64 (fma.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 1/2 x) (*.f64 -1/4 (pow.f64 x 6))) (*.f64 1/2 (+.f64 (*.f64 x x) (pow.f64 x 3)))) |
(/.f64 (*.f64 1/4 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 x 6))) (*.f64 (*.f64 x x) (fma.f64 1/2 x 1/2))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 3) (pow.f64 (*.f64 -1/2 (pow.f64 x 3)) 3)) 1) (+.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/2))) (-.f64 (*.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3))) (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 3)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (*.f64 -1/8 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 1/2 (*.f64 x x)) (*.f64 (*.f64 -1/2 (pow.f64 x 3)) (-.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (*.f64 x x)))))) |
(/.f64 (fma.f64 -1/8 (pow.f64 (pow.f64 x 3) 3) (*.f64 1/8 (pow.f64 x 6))) (fma.f64 x (*.f64 1/2 (*.f64 1/2 (pow.f64 x 3))) (fma.f64 1/4 (pow.f64 x 6) (*.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 x 3))))) |
(/.f64 (fma.f64 -1/8 (pow.f64 (pow.f64 x 3) 3) (*.f64 1/8 (pow.f64 x 6))) (+.f64 (*.f64 1/4 (pow.f64 x 6)) (*.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 (*.f64 x x) (+.f64 x 1))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))) (*.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) (*.f64 x x))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x)))) |
(/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 x (*.f64 x 1/4)))) (/.f64 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))) (*.f64 x (*.f64 x (sqrt.f64 (fma.f64 x -1/2 1/2)))))) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (fma.f64 1/2 x 1/2))) (sqrt.f64 (+.f64 1/4 (*.f64 (*.f64 x x) -1/4)))) |
(*.f64 (sqrt.f64 (+.f64 1/4 (*.f64 x (*.f64 x -1/4)))) (/.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) (/.f64 (sqrt.f64 (fma.f64 1/2 x 1/2)) (*.f64 x x)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3))) (*.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) (*.f64 x x))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/8))) (*.f64 x (*.f64 x (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (fma.f64 (*.f64 x x) 1/4 (+.f64 1/4 (*.f64 1/4 x))))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/8 1/8)) (sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) 1/4 1/4) (*.f64 x 1/4)))) (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -1/2 1/2)))) |
(*.f64 (*.f64 x (*.f64 x (sqrt.f64 (fma.f64 x -1/2 1/2)))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/8 1/8)) (sqrt.f64 (+.f64 1/4 (*.f64 (+.f64 x 1) (*.f64 x 1/4)))))) |
(/.f64 (*.f64 (*.f64 x (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))) x) (+.f64 1/2 (*.f64 1/2 x))) |
(*.f64 (/.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/2 x))) (-.f64 1/4 (*.f64 x (*.f64 x 1/4)))) |
(*.f64 (+.f64 1/4 (*.f64 (*.f64 x x) -1/4)) (/.f64 (*.f64 x x) (fma.f64 1/2 x 1/2))) |
(*.f64 x (/.f64 x (/.f64 (fma.f64 x -1/2 -1/2) (fma.f64 x (*.f64 x 1/4) -1/4)))) |
(/.f64 (*.f64 (*.f64 x (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3))) x) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x)))) |
(*.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 1/4 (+.f64 1/4 (*.f64 1/4 x)))) (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/8))) |
(*.f64 (fma.f64 (pow.f64 x 3) -1/8 1/8) (/.f64 x (/.f64 (+.f64 (fma.f64 (*.f64 x x) 1/4 1/4) (*.f64 x 1/4)) x))) |
(*.f64 x (*.f64 (/.f64 x (+.f64 1/4 (*.f64 (+.f64 x 1) (*.f64 x 1/4)))) (fma.f64 (pow.f64 x 3) -1/8 1/8))) |
(pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))) 3) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 3) 1/3) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 2)) |
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 2)) |
(fabs.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))) |
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 x -1/2 1/2))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 3)) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(exp.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))) 1)) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(fma.f64 (*.f64 x x) 1/2 (*.f64 -1/2 (pow.f64 x 3))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))) 1) |
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(*.f64 1 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) |
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(*.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 1) |
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(*.f64 (sqrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) (sqrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))) |
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(*.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) 2)) |
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))) |
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(pow.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 1) |
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) 2) |
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) 3) |
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(pow.f64 (pow.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 3) 1/3) |
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 2)) |
(sqrt.f64 (pow.f64 (atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) 2)) |
(fabs.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))) |
(log.f64 (exp.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))) |
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))))) |
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 3)) |
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))) |
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(exp.f64 (log.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))) |
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(exp.f64 (*.f64 (log.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) 1)) |
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))) |
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) |
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.02% | (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))) |
| ✓ | 0.03% | (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
| ✓ | 0.04% | (/.f64 (-.f64 -1 x) (+.f64 x -1)) |
| ✓ | 0.04% | (/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))) |
Compiled 60 to 47 computations (21.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))) |
| 0.0ms | x | @ | -inf | (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))) |
| 0.0ms | x | @ | 0 | (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
| 0.0ms | x | @ | inf | (/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))) |
| 0.0ms | x | @ | -inf | (/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))) |
| 1× | batch-egg-rewrite |
| 1360× | associate-/l* |
| 1224× | associate-/r/ |
| 678× | associate-/l/ |
| 664× | distribute-rgt-in |
| 614× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 104 |
| 1 | 260 | 92 |
| 2 | 3461 | 92 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))) |
(/.f64 (-.f64 -1 x) (+.f64 x -1)) |
(sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
(atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))) |
| Outputs |
|---|
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#<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (-.f64 -1 x))) (*.f64 -1 (sqrt.f64 (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/4)) (/.f64 -1 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) (/.f64 -1 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) 2) 1/2) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) 1/2)))))) (#(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 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 3/2) 1/3)))) (#(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 exp.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 (-.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log.f64 (-.f64 1 x)))) 1))))) (#(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 -.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))))))) |
| 1× | egg-herbie |
| 836× | associate-+r+ |
| 800× | +-commutative |
| 674× | associate-*r* |
| 642× | *-commutative |
| 610× | associate-+l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 631 | 11737 |
| 1 | 1673 | 11107 |
| 2 | 6420 | 11059 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 2))) (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))) |
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 x 3)) (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 2))) (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))) |
(/.f64 1 (sqrt.f64 -1)) |
(-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 (sqrt.f64 -1) x))) |
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x))) |
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))) |
(/.f64 1 (sqrt.f64 -1)) |
(-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 (sqrt.f64 -1) x))) |
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x))) |
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))) |
1 |
(+.f64 (*.f64 2 x) 1) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)) |
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))) |
(pow.f64 (sqrt.f64 -1) 2) |
(+.f64 (*.f64 -1 x) (pow.f64 (sqrt.f64 -1) 2)) |
(+.f64 (*.f64 -1 x) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 -1/2 (*.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (+.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (pow.f64 x 3))) (+.f64 (*.f64 -1 x) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 -1/2 (*.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (pow.f64 x 2)))))) |
(sqrt.f64 -1) |
(+.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) |
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))) |
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(sqrt.f64 -1) |
(+.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) |
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))) |
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x))))) |
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x))))) |
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x))))) |
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x))))) |
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x))))) |
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x))))) |
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x))))) |
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x))))) |
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1))))) |
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1))))) |
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1))))) |
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1))))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) 1) |
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) |
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))) 1) |
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) (cbrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 -1 x))) (sqrt.f64 (+.f64 -1 x))) |
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))) -1) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/4) -1) (pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/4) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) -1)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 -1 x))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (-.f64 -1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (*.f64 x (+.f64 -1 x))))) |
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 (-.f64 -1 x)))) (neg.f64 (sqrt.f64 (+.f64 -1 x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) (sqrt.f64 (-.f64 1 x))) |
(*.f64 (/.f64 -1 (neg.f64 (sqrt.f64 (-.f64 -1 x)))) (sqrt.f64 (+.f64 -1 x))) |
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) (sqrt.f64 (sqrt.f64 (-.f64 -1 x)))) (sqrt.f64 (sqrt.f64 (+.f64 -1 x)))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))) (cbrt.f64 (sqrt.f64 (-.f64 -1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 -1 x)))) |
(pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/2) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) -1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))) 1) |
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) 2) |
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) 3) |
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))) 3) 1/3) |
(sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))) |
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))) |
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))) 3)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log.f64 (-.f64 1 x)))) -1)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) 1)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
(+.f64 (/.f64 1 (-.f64 1 x)) (neg.f64 (/.f64 x (+.f64 -1 x)))) |
(+.f64 (/.f64 1 (-.f64 1 x)) (*.f64 1 (neg.f64 (/.f64 x (+.f64 -1 x))))) |
(+.f64 (/.f64 1 (-.f64 1 x)) (*.f64 (/.f64 1 (+.f64 -1 x)) (neg.f64 x))) |
(+.f64 (/.f64 1 (-.f64 1 x)) (*.f64 (/.f64 1 (+.f64 -1 x)) (*.f64 (neg.f64 x) 1))) |
(+.f64 (/.f64 1 (-.f64 1 x)) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 x)))) |
(+.f64 (/.f64 1 (-.f64 1 x)) (*.f64 (*.f64 (neg.f64 x) 1) (/.f64 1 (+.f64 -1 x)))) |
(+.f64 (neg.f64 (/.f64 x (+.f64 -1 x))) (/.f64 1 (-.f64 1 x))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 -1 x)) (neg.f64 x)) (/.f64 1 (-.f64 1 x))) |
(+.f64 (*.f64 (/.f64 (-.f64 -1 x) (fma.f64 x x -1)) x) (*.f64 (/.f64 (-.f64 -1 x) (fma.f64 x x -1)) 1)) |
(+.f64 (*.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 (pow.f64 x 3))) (*.f64 x x)) (*.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 (pow.f64 x 3))) (-.f64 x -1))) |
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(/.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
(/.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) (/.f64 -1 (neg.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))) |
(/.f64 (cbrt.f64 (-.f64 -1 x)) (/.f64 (sqrt.f64 (+.f64 -1 x)) (cbrt.f64 (sqrt.f64 (-.f64 -1 x))))) |
(/.f64 (cbrt.f64 (-.f64 -1 x)) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) (cbrt.f64 (/.f64 1 (+.f64 -1 x))))) |
(/.f64 (cbrt.f64 (-.f64 -1 x)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) (cbrt.f64 (+.f64 -1 x)))) |
(/.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) -1) |
(/.f64 (sqrt.f64 (sqrt.f64 (-.f64 -1 x))) (/.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (sqrt.f64 (-.f64 -1 x))))) |
(/.f64 (sqrt.f64 (sqrt.f64 (-.f64 -1 x))) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) (sqrt.f64 (sqrt.f64 (+.f64 -1 x))))) |
(/.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))) (/.f64 -1 (sqrt.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))) |
(/.f64 (sqrt.f64 (-.f64 -1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (+.f64 1 (*.f64 x (+.f64 -1 x)))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (cbrt.f64 (-.f64 -1 x))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) 2)) (/.f64 1 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))) |
(/.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) (/.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))) |
(/.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))) |
(/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (-.f64 1 x))) |
(/.f64 (sqrt.f64 (-.f64 x -1)) (*.f64 1 (sqrt.f64 (-.f64 1 x)))) |
(/.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/4)) (/.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) (sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/4)))) |
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 -1 x)) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))) (cbrt.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) 2)) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))) |
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))) |
(/.f64 (cbrt.f64 (-.f64 x -1)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) (cbrt.f64 (-.f64 1 x)))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 -1 x))) (neg.f64 (sqrt.f64 (+.f64 -1 x)))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 -1 x))) (*.f64 1 (neg.f64 (sqrt.f64 (+.f64 -1 x))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 -1 x))) (*.f64 -1 (sqrt.f64 (+.f64 -1 x)))) |
(/.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/4)) (/.f64 -1 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/4))) |
(/.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) (/.f64 -1 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))) |
(/.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) |
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) 2) 1/2) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) 1/2))) |
(pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/2) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) 1) |
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/4) 2) |
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 3/2) 1/3) |
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) |
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))) |
(exp.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log.f64 (-.f64 1 x))))) |
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 (-.f64 1 x))) 1/2)) |
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log.f64 (-.f64 1 x)))) 1)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))) |
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))) 1) |
(*.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) 1) |
(*.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))) |
(*.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))) |
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) 1) |
(pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) 2) |
(pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) 3) |
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) 3) 1/3) |
(sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) 2)) |
(log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))) |
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))))) |
(cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) 3)) |
(expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))) |
(exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))) |
(exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) 1)) |
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))) |
| Outputs |
|---|
1 |
(+.f64 1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) |
(+.f64 1 (/.f64 x -1)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 2))) (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))) |
(+.f64 1 (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 x x))) (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1) (*.f64 x x)) (/.f64 x -1))) |
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 x 3)) (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 2))) (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))) |
(+.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 (sqrt.f64 -1) 2) (pow.f64 x 3))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 x x))) (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))) |
(+.f64 1 (fma.f64 1/2 (*.f64 (/.f64 (+.f64 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) -1) (pow.f64 x 3)) (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1) (*.f64 x x)) (/.f64 x -1)))) |
(/.f64 1 (sqrt.f64 -1)) |
(-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 (sqrt.f64 -1) x))) |
(-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) |
(+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))) |
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x))) |
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) |
(+.f64 (/.f64 1 (sqrt.f64 -1)) (-.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 1 (*.f64 x (sqrt.f64 -1))))) |
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))) |
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))))) |
(+.f64 (/.f64 1 (sqrt.f64 -1)) (-.f64 (-.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))))) |
(/.f64 1 (sqrt.f64 -1)) |
(-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 (sqrt.f64 -1) x))) |
(-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) |
(+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))) |
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x))) |
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) |
(+.f64 (/.f64 1 (sqrt.f64 -1)) (-.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 1 (*.f64 x (sqrt.f64 -1))))) |
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))) |
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))))) |
(+.f64 (/.f64 1 (sqrt.f64 -1)) (-.f64 (-.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))))) |
1 |
(+.f64 (*.f64 2 x) 1) |
(fma.f64 2 x 1) |
(fma.f64 x 2 1) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)) |
(fma.f64 2 (*.f64 x x) (fma.f64 2 x 1)) |
(fma.f64 2 (*.f64 x x) (fma.f64 x 2 1)) |
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))) |
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 2 x 1))) |
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 x 2 1))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 -1 (neg.f64 (/.f64 2 x))) |
(+.f64 -1 (/.f64 -2 x)) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))) |
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))) |
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))) |
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 3))))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 -1 (neg.f64 (/.f64 2 x))) |
(+.f64 -1 (/.f64 -2 x)) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))) |
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))) |
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))) |
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 3))))) |
(pow.f64 (sqrt.f64 -1) 2) |
-1 |
(+.f64 (*.f64 -1 x) (pow.f64 (sqrt.f64 -1) 2)) |
(fma.f64 -1 x (pow.f64 (sqrt.f64 -1) 2)) |
(-.f64 -1 x) |
(+.f64 (*.f64 -1 x) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 -1/2 (*.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (pow.f64 x 2))))) |
(+.f64 (fma.f64 -1 x (pow.f64 (sqrt.f64 -1) 2)) (*.f64 -1/2 (*.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 x x)))) |
(-.f64 (fma.f64 -1/2 (*.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 x x)) -1) x) |
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (+.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (pow.f64 x 3))) (+.f64 (*.f64 -1 x) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 -1/2 (*.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (pow.f64 x 2)))))) |
(fma.f64 -1/2 (*.f64 (pow.f64 x 3) (+.f64 (/.f64 2 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4))))) (+.f64 (fma.f64 -1 x (pow.f64 (sqrt.f64 -1) 2)) (*.f64 -1/2 (*.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 x x))))) |
(fma.f64 -1/2 (pow.f64 x 3) (-.f64 (fma.f64 -1/2 (*.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 x x)) -1) x)) |
(sqrt.f64 -1) |
(+.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) |
(+.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x)) |
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))) |
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x))))) |
(+.f64 (/.f64 (sqrt.f64 -1) x) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (sqrt.f64 -1))) |
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (+.f64 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (/.f64 (sqrt.f64 -1) (*.f64 x x)))))) |
(+.f64 (/.f64 (sqrt.f64 -1) x) (fma.f64 1/2 (+.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (sqrt.f64 -1))) |
(sqrt.f64 -1) |
(+.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) |
(+.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x)) |
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))) |
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x))))) |
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(/.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/4) (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) 1/4) (/.f64 1 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) |
(/.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) 1/4) (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(/.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/4) (/.f64 -1 (neg.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/4)))) |
(sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
(/.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (+.f64 -1 x))) |
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 -1 x))) (sqrt.f64 (+.f64 x -1))) |
(/.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (+.f64 x -1))) |
(/.f64 (sqrt.f64 (-.f64 -1 x)) (/.f64 (sqrt.f64 (+.f64 -1 x)) 1)) |
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 -1 x))) (sqrt.f64 (+.f64 x -1))) |
(/.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (+.f64 x -1))) |
(/.f64 (sqrt.f64 (-.f64 -1 x)) (/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 -1 x))))) |
(*.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (/.f64 1 (+.f64 x -1)))) |
(/.f64 (sqrt.f64 (-.f64 -1 x)) (/.f64 1 (pow.f64 (/.f64 1 (+.f64 -1 x)) 1/2))) |
(*.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (/.f64 1 (+.f64 x -1)))) |
(/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) |
(/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) (/.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/4)))) |
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))) (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) 1/4))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) 1/4)) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))) (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) |
(/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))) |
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) |
(/.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
(/.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(/.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) (/.f64 -1 (neg.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))) |
(/.f64 (cbrt.f64 (-.f64 -1 x)) (/.f64 (sqrt.f64 (+.f64 -1 x)) (cbrt.f64 (sqrt.f64 (-.f64 -1 x))))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 -1 x)) (sqrt.f64 (+.f64 x -1))) (cbrt.f64 (sqrt.f64 (-.f64 -1 x)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 -1 x))) (/.f64 (cbrt.f64 (-.f64 -1 x)) (sqrt.f64 (+.f64 x -1)))) |
(/.f64 (cbrt.f64 (-.f64 -1 x)) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) (cbrt.f64 (/.f64 1 (+.f64 -1 x))))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 -1 x)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (/.f64 1 (+.f64 x -1)))) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1))) (/.f64 (cbrt.f64 (-.f64 -1 x)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) |
(/.f64 (cbrt.f64 (-.f64 -1 x)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) (cbrt.f64 (+.f64 -1 x)))) |
(/.f64 (cbrt.f64 (-.f64 -1 x)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (+.f64 x -1)))) |
(/.f64 (/.f64 (cbrt.f64 (-.f64 -1 x)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(/.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) -1) |
(sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
(/.f64 (sqrt.f64 (sqrt.f64 (-.f64 -1 x))) (/.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (sqrt.f64 (-.f64 -1 x))))) |
(/.f64 (sqrt.f64 (sqrt.f64 (-.f64 -1 x))) (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (sqrt.f64 (-.f64 -1 x))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 -1 x))) (/.f64 (sqrt.f64 (sqrt.f64 (-.f64 -1 x))) (sqrt.f64 (+.f64 x -1)))) |
(/.f64 (sqrt.f64 (sqrt.f64 (-.f64 -1 x))) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) (sqrt.f64 (sqrt.f64 (+.f64 -1 x))))) |
(/.f64 (sqrt.f64 (sqrt.f64 (-.f64 -1 x))) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (sqrt.f64 (+.f64 x -1))))) |
(/.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))) (/.f64 -1 (sqrt.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))) |
(/.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))) (/.f64 -1 (sqrt.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))) (/.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))) -1)) |
(/.f64 (sqrt.f64 (-.f64 -1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (+.f64 1 (*.f64 x (+.f64 -1 x)))))) |
(/.f64 (sqrt.f64 (-.f64 -1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 1 (*.f64 x (+.f64 x -1)))))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 -1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x (+.f64 x -1) 1))) (sqrt.f64 (+.f64 x -1))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (cbrt.f64 (-.f64 -1 x))))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (cbrt.f64 (-.f64 -1 x)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (-.f64 -1 x))) (/.f64 (fabs.f64 (cbrt.f64 (-.f64 -1 x))) (sqrt.f64 (+.f64 x -1)))) |
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(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) 2))) |
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))) (fabs.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))) |
(/.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) (/.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))) |
(/.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))) (/.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))))) |
(*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))) (/.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))) (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) |
(/.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))) |
(/.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (-.f64 1 x))) |
(/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) |
(/.f64 (sqrt.f64 (-.f64 x -1)) (*.f64 1 (sqrt.f64 (-.f64 1 x)))) |
(/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) |
(/.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/4)) (/.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) (sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/4)))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) 1/4)) (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) 1/4))) |
(*.f64 (fabs.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) 1/8)) (/.f64 (fabs.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) 1/8)) (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) |
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 -1 x)) |
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 x -1)) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (+.f64 x -1)) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))) (cbrt.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
(/.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))))) |
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) 2)) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))) |
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) |
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))) |
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))) (/.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))))) |
(/.f64 (cbrt.f64 (-.f64 x -1)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) (cbrt.f64 (-.f64 1 x)))) |
(/.f64 (cbrt.f64 (+.f64 1 x)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (-.f64 1 x)))) |
(/.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (-.f64 1 x))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 -1 x))) (neg.f64 (sqrt.f64 (+.f64 -1 x)))) |
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 -1 x))) (sqrt.f64 (+.f64 x -1))) |
(/.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (+.f64 x -1))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 -1 x))) (*.f64 1 (neg.f64 (sqrt.f64 (+.f64 -1 x))))) |
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 -1 x))) (sqrt.f64 (+.f64 x -1))) |
(/.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (+.f64 x -1))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 -1 x))) (*.f64 -1 (sqrt.f64 (+.f64 -1 x)))) |
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 -1 x))) (sqrt.f64 (+.f64 x -1))) |
(/.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (+.f64 x -1))) |
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(sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
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(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))) |
(/.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) |
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) 2) 1/2) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) 1/2))) |
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) 2))) |
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))) (fabs.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))) |
(pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/2) |
(sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) 1) |
(sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/4) 2) |
(sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) 3) |
(sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 3/2) 1/3) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) 3/2)) |
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) |
(sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))) |
(sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))) |
(sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 3/2)) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))) |
(sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
(exp.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log.f64 (-.f64 1 x))))) |
(pow.f64 (exp.f64 1/2) (-.f64 (log1p.f64 x) (log.f64 (-.f64 1 x)))) |
(sqrt.f64 (/.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 x))) |
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 (-.f64 1 x))) 1/2)) |
(pow.f64 (exp.f64 1/2) (-.f64 (log1p.f64 x) (log.f64 (-.f64 1 x)))) |
(sqrt.f64 (/.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 x))) |
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log.f64 (-.f64 1 x)))) 1)) |
(pow.f64 (exp.f64 1/2) (-.f64 (log1p.f64 x) (log.f64 (-.f64 1 x)))) |
(sqrt.f64 (/.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 x))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))) |
(sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))) 1) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(*.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) 1) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(*.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(*.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) 2)) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) 1) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) 2) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) 3) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) 3) 1/3) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) 2)) |
(sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2)) |
(fabs.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) 3)) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) 1)) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
Compiled 22981 to 17594 computations (23.4% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 934 | 4 | 938 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 3 | 5 |
| Total | 936 | 8 | 944 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.01% | (*.f64 2 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -1/2))) |
| ▶ | 0.88% | (*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 (*.f64 x x) -1/2))))) |
| ✓ | 0.03% | (*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))))) |
| ▶ | 1.24% | (*.f64 2 (atan.f64 (-.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 x 1)))) |
| ✓ | 1.62% | (*.f64 2 (atan.f64 (-.f64 1 x))) |
| ✓ | 1.24% | (*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x)))) |
| ✓ | 0.02% | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| ▶ | 3.08% | (*.f64 2 (atan.f64 1)) |
Compiled 92 to 76 computations (17.4% saved)
Compiled 9 to 9 computations (0% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.01% | (atan.f64 (-.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 x 1))) |
| ✓ | 0.01% | (-.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 x 1)) |
Compiled 47 to 33 computations (29.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 x 1)) |
| 0.0ms | x | @ | -inf | (atan.f64 (-.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 x 1))) |
| 0.0ms | x | @ | -inf | (-.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 x 1)) |
| 0.0ms | x | @ | inf | (-.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 x 1)) |
| 0.0ms | x | @ | 0 | (atan.f64 (-.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 x 1))) |
| 1× | batch-egg-rewrite |
| 1072× | *-commutative |
| 1024× | associate-*r/ |
| 694× | distribute-lft-in |
| 672× | associate-*l/ |
| 660× | distribute-rgt-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 54 |
| 1 | 239 | 54 |
| 2 | 3119 | 46 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 x 1)) |
(atan.f64 (-.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 x 1))) |
| Outputs |
|---|
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(+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (pow.f64 (+.f64 x -1) 2))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 2)) (cbrt.f64 (fma.f64 x (*.f64 x 1/2) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (+.f64 x -1) 3))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 (+.f64 x -1) (fma.f64 x (*.f64 x 1/2) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (pow.f64 (*.f64 1/2 (*.f64 x x)) 2)) (*.f64 (pow.f64 (+.f64 x -1) 2) (pow.f64 (+.f64 x -1) 2))) (/.f64 1 (fma.f64 x (*.f64 x 1/2) (+.f64 x -1)))) (+.f64 (pow.f64 (+.f64 x -1) 2) (pow.f64 (*.f64 1/2 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 1/2 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((x pow.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/2) x (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) 2) (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1/2 (-.f64 1 x)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) (sqrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))))))) |
| 1× | egg-herbie |
| 1548× | associate-*r/ |
| 1176× | +-commutative |
| 1144× | associate-+l- |
| 936× | associate-+r- |
| 614× | associate--r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 402 | 10139 |
| 1 | 1130 | 9781 |
| 2 | 5039 | 9527 |
| 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 2)) (*.f64 -1 x))) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(+.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x)) |
(+.f64 (*.f64 1/2 (*.f64 x x)) (+.f64 (-.f64 1 x) (fma.f64 (-.f64 1 x) 1 (+.f64 x -1)))) |
(+.f64 (*.f64 1/2 (*.f64 x x)) (+.f64 (-.f64 1 x) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)) (+.f64 x -1)))) |
(+.f64 (*.f64 1/2 (*.f64 x x)) (+.f64 (-.f64 1 x) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x -1))) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (+.f64 x -1)))) |
(+.f64 (*.f64 1/2 (*.f64 x x)) (+.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) 1)) |
(+.f64 (*.f64 1/2 (*.f64 x x)) (+.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) 1)) |
(+.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 (neg.f64 x) -1)) |
(+.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 (*.f64 x -1) -1)) |
(+.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) -1)) |
(+.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) -1)) |
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x)) |
(+.f64 1 (+.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) (fma.f64 (-.f64 1 x) 1 (+.f64 x -1)))) |
(+.f64 1 (+.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)) (+.f64 x -1)))) |
(+.f64 1 (+.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x -1))) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (+.f64 x -1)))) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (fma.f64 (neg.f64 x) 1 x)) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (fma.f64 (-.f64 1 x) 1 (+.f64 x -1))) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)) (+.f64 x -1))) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x -1))) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (+.f64 x -1))) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (+.f64 (fma.f64 (-.f64 1 x) 1 (+.f64 x -1)) (fma.f64 (-.f64 1 x) 1 (+.f64 x -1)))) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)) (+.f64 x -1)) (fma.f64 (-.f64 1 x) 1 (+.f64 x -1)))) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x -1))) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (+.f64 x -1)) (fma.f64 (-.f64 1 x) 1 (+.f64 x -1)))) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (+.f64 (fma.f64 (-.f64 1 x) 1 (+.f64 x -1)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)) (+.f64 x -1)))) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)) (+.f64 x -1)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)) (+.f64 x -1)))) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x -1))) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (+.f64 x -1)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)) (+.f64 x -1)))) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (+.f64 (fma.f64 (-.f64 1 x) 1 (+.f64 x -1)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x -1))) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (+.f64 x -1)))) |
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(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 1 x) 3)) 1) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 x)) (*.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x))))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) 3)) 1) (-.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) (-.f64 (*.f64 1/2 (*.f64 x x)) x)) 1) (-.f64 (*.f64 1/2 (*.f64 x x)) x))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (pow.f64 (+.f64 x -1) 2))) 1) (neg.f64 (fma.f64 x (*.f64 x 1/2) (+.f64 x -1)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (+.f64 x -1) 3))) 1) (neg.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 (+.f64 x -1) (fma.f64 x (*.f64 x 1/2) (+.f64 x -1)))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (pow.f64 (+.f64 x -1) 2))) (sqrt.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) (sqrt.f64 (fma.f64 x (*.f64 x 1/2) (+.f64 x -1)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (+.f64 x -1) 3))) (sqrt.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 (+.f64 x -1) (fma.f64 x (*.f64 x 1/2) (+.f64 x -1)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (pow.f64 (+.f64 x -1) 2))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 2)) (cbrt.f64 (fma.f64 x (*.f64 x 1/2) (+.f64 x -1)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (+.f64 x -1) 3))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 (+.f64 x -1) (fma.f64 x (*.f64 x 1/2) (+.f64 x -1)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (pow.f64 (*.f64 1/2 (*.f64 x x)) 2)) (*.f64 (pow.f64 (+.f64 x -1) 2) (pow.f64 (+.f64 x -1) 2))) (/.f64 1 (fma.f64 x (*.f64 x 1/2) (+.f64 x -1)))) (+.f64 (pow.f64 (+.f64 x -1) 2) (pow.f64 (*.f64 1/2 (*.f64 x x)) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) 3) (pow.f64 (pow.f64 (+.f64 x -1) 2) 3)) (/.f64 1 (fma.f64 x (*.f64 x 1/2) (+.f64 x -1)))) (+.f64 (*.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (pow.f64 (*.f64 1/2 (*.f64 x x)) 2)) (+.f64 (*.f64 (pow.f64 (+.f64 x -1) 2) (pow.f64 (+.f64 x -1) 2)) (*.f64 (pow.f64 (+.f64 x -1) 2) (pow.f64 (*.f64 1/2 (*.f64 x x)) 2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (*.f64 1/2 (*.f64 x x)) 3)) (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 x -1) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 (+.f64 x -1) (fma.f64 x (*.f64 x 1/2) (+.f64 x -1)))))) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (+.f64 x -1) 3))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) 3) (pow.f64 (pow.f64 (+.f64 x -1) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 (+.f64 x -1) (fma.f64 x (*.f64 x 1/2) (+.f64 x -1)))))) (+.f64 (*.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (*.f64 1/2 (*.f64 x x)) 3)) (+.f64 (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 x -1) 3)) (*.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (+.f64 x -1) 3))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (pow.f64 (+.f64 x -1) 2)) 1) (fma.f64 x (*.f64 x 1/2) (+.f64 x -1))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (pow.f64 (+.f64 x -1) 2)) (sqrt.f64 (fma.f64 x (*.f64 x 1/2) (+.f64 x -1)))) (sqrt.f64 (fma.f64 x (*.f64 x 1/2) (+.f64 x -1)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (pow.f64 (+.f64 x -1) 2)) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) (+.f64 x -1))) (cbrt.f64 (fma.f64 x (*.f64 x 1/2) (+.f64 x -1))))) (cbrt.f64 (fma.f64 x (*.f64 x 1/2) (+.f64 x -1)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (+.f64 x -1) 3)) 1) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 (+.f64 x -1) (fma.f64 x (*.f64 x 1/2) (+.f64 x -1))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (+.f64 x -1) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 (+.f64 x -1) (fma.f64 x (*.f64 x 1/2) (+.f64 x -1)))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 (+.f64 x -1) (fma.f64 x (*.f64 x 1/2) (+.f64 x -1)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (+.f64 x -1) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 (+.f64 x -1) (fma.f64 x (*.f64 x 1/2) (+.f64 x -1))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 (+.f64 x -1) (fma.f64 x (*.f64 x 1/2) (+.f64 x -1))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 (+.f64 x -1) (fma.f64 x (*.f64 x 1/2) (+.f64 x -1)))))) |
(pow.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) 1) |
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 3) |
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) 2)) |
(log.f64 (exp.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))) |
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) |
(exp.f64 (log.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) |
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
(fma.f64 (*.f64 x 1/2) x (-.f64 1 x)) |
(fma.f64 1 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x)) |
(fma.f64 (*.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)) (-.f64 1 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) 2) (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (-.f64 1 x)) |
(fma.f64 (*.f64 x x) 1/2 (-.f64 1 x)) |
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))) 1) |
(*.f64 1 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) |
(*.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 1) |
(*.f64 (sqrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) (sqrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))) |
(*.f64 (cbrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))) |
(pow.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 1) |
(pow.f64 (sqrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) 2) |
(pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) 3) |
(pow.f64 (pow.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 3) 1/3) |
(sqrt.f64 (pow.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 2)) |
(log.f64 (exp.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))))) |
(cbrt.f64 (pow.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 3)) |
(expm1.f64 (log1p.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))) |
(exp.f64 (log.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))) |
(log1p.f64 (expm1.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.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 (fma.f64 1/2 (*.f64 x x) 1) x) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(-.f64 (*.f64 1/2 (*.f64 x x)) x) |
(-.f64 (*.f64 x (*.f64 x 1/2)) x) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(-.f64 (*.f64 1/2 (*.f64 x x)) x) |
(-.f64 (*.f64 x (*.f64 x 1/2)) x) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(+.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x)) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(+.f64 (*.f64 1/2 (*.f64 x x)) (+.f64 (-.f64 1 x) (fma.f64 (-.f64 1 x) 1 (+.f64 x -1)))) |
(+.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) (fma.f64 (-.f64 1 x) 1 (+.f64 -1 x)))) |
(+.f64 1 (-.f64 (+.f64 (-.f64 1 x) (+.f64 x (fma.f64 1/2 (*.f64 x x) -1))) x)) |
(+.f64 1 (-.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 (-.f64 x 0) x)) x)) |
(+.f64 (*.f64 1/2 (*.f64 x x)) (+.f64 (-.f64 1 x) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)) (+.f64 x -1)))) |
(+.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 -1 x))) (sqrt.f64 (+.f64 -1 x)) (+.f64 -1 x))) |
(+.f64 1 (-.f64 (fma.f64 1/2 (*.f64 x x) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 -1 x))) (sqrt.f64 (+.f64 -1 x)) (+.f64 -1 x))) x)) |
(+.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 (-.f64 x 0) x)) (*.f64 (sqrt.f64 (+.f64 -1 x)) (neg.f64 (sqrt.f64 (+.f64 -1 x))))) |
(+.f64 (*.f64 1/2 (*.f64 x x)) (+.f64 (-.f64 1 x) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x -1))) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (+.f64 x -1)))) |
(+.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (+.f64 -1 x)))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (+.f64 -1 x)) (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(+.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 (-.f64 x 0) x)) (*.f64 (neg.f64 (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))) |
(+.f64 (*.f64 1/2 (*.f64 x x)) (+.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) 1)) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(+.f64 (*.f64 1/2 (*.f64 x x)) (+.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) 1)) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(+.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 (neg.f64 x) -1)) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(+.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 (*.f64 x -1) -1)) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(+.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) -1)) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(+.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) -1)) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x)) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(+.f64 1 (+.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) (fma.f64 (-.f64 1 x) 1 (+.f64 x -1)))) |
(+.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) (fma.f64 (-.f64 1 x) 1 (+.f64 -1 x)))) |
(+.f64 1 (-.f64 (+.f64 (-.f64 1 x) (+.f64 x (fma.f64 1/2 (*.f64 x x) -1))) x)) |
(+.f64 1 (-.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 (-.f64 x 0) x)) x)) |
(+.f64 1 (+.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)) (+.f64 x -1)))) |
(+.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 -1 x))) (sqrt.f64 (+.f64 -1 x)) (+.f64 -1 x))) |
(+.f64 1 (-.f64 (fma.f64 1/2 (*.f64 x x) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 -1 x))) (sqrt.f64 (+.f64 -1 x)) (+.f64 -1 x))) x)) |
(+.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 (-.f64 x 0) x)) (*.f64 (sqrt.f64 (+.f64 -1 x)) (neg.f64 (sqrt.f64 (+.f64 -1 x))))) |
(+.f64 1 (+.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x -1))) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (+.f64 x -1)))) |
(+.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (+.f64 -1 x)))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (+.f64 -1 x)) (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(+.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 (-.f64 x 0) x)) (*.f64 (neg.f64 (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (fma.f64 (neg.f64 x) 1 x)) |
(+.f64 (-.f64 (*.f64 x (*.f64 x 1/2)) x) (+.f64 (-.f64 1 x) x)) |
(-.f64 (-.f64 (+.f64 x (fma.f64 1/2 (*.f64 x x) 1)) x) x) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (fma.f64 (neg.f64 x) 1 x)) |
(+.f64 (-.f64 (*.f64 x (*.f64 x 1/2)) x) (+.f64 (-.f64 1 x) x)) |
(-.f64 (-.f64 (+.f64 x (fma.f64 1/2 (*.f64 x x) 1)) x) x) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (fma.f64 (neg.f64 x) 1 x)) |
(+.f64 (-.f64 (*.f64 x (*.f64 x 1/2)) x) (+.f64 (-.f64 1 x) x)) |
(-.f64 (-.f64 (+.f64 x (fma.f64 1/2 (*.f64 x x) 1)) x) x) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (fma.f64 (-.f64 1 x) 1 (+.f64 x -1))) |
(+.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) (fma.f64 (-.f64 1 x) 1 (+.f64 -1 x)))) |
(+.f64 1 (-.f64 (+.f64 (-.f64 1 x) (+.f64 x (fma.f64 1/2 (*.f64 x x) -1))) x)) |
(+.f64 1 (-.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 (-.f64 x 0) x)) x)) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)) (+.f64 x -1))) |
(+.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 -1 x))) (sqrt.f64 (+.f64 -1 x)) (+.f64 -1 x))) |
(+.f64 1 (-.f64 (fma.f64 1/2 (*.f64 x x) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 -1 x))) (sqrt.f64 (+.f64 -1 x)) (+.f64 -1 x))) x)) |
(+.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 (-.f64 x 0) x)) (*.f64 (sqrt.f64 (+.f64 -1 x)) (neg.f64 (sqrt.f64 (+.f64 -1 x))))) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x -1))) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (+.f64 x -1))) |
(+.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (+.f64 -1 x)))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (+.f64 -1 x)) (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(+.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 (-.f64 x 0) x)) (*.f64 (neg.f64 (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (+.f64 (fma.f64 (-.f64 1 x) 1 (+.f64 x -1)) (fma.f64 (-.f64 1 x) 1 (+.f64 x -1)))) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (*.f64 2 (fma.f64 (-.f64 1 x) 1 (+.f64 -1 x)))) |
(fma.f64 2 (+.f64 (-.f64 1 x) (+.f64 -1 x)) (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(fma.f64 2 (-.f64 (-.f64 x 0) x) (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)) (+.f64 x -1)) (fma.f64 (-.f64 1 x) 1 (+.f64 x -1)))) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (+.f64 (fma.f64 (-.f64 1 x) 1 (+.f64 -1 x)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 -1 x))) (sqrt.f64 (+.f64 -1 x)) (+.f64 -1 x)))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 -1 x))) (sqrt.f64 (+.f64 -1 x)) (+.f64 -1 x)) (+.f64 1 (-.f64 (+.f64 (-.f64 1 x) (+.f64 x (fma.f64 1/2 (*.f64 x x) -1))) x))) |
(-.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 -1 x)) (neg.f64 (sqrt.f64 (+.f64 -1 x)))) (-.f64 x 0)) (-.f64 x (fma.f64 1/2 (*.f64 x x) (-.f64 (-.f64 x 0) x)))) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x -1))) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (+.f64 x -1)) (fma.f64 (-.f64 1 x) 1 (+.f64 x -1)))) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (+.f64 (fma.f64 (-.f64 1 x) 1 (+.f64 -1 x)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (+.f64 -1 x)))) |
(+.f64 (+.f64 (-.f64 1 x) (+.f64 -1 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (+.f64 -1 x)) (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))) |
(-.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 (-.f64 x 0) x)) (-.f64 (-.f64 x (*.f64 (neg.f64 (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))) (-.f64 x 0))) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (+.f64 (fma.f64 (-.f64 1 x) 1 (+.f64 x -1)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)) (+.f64 x -1)))) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (+.f64 (fma.f64 (-.f64 1 x) 1 (+.f64 -1 x)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 -1 x))) (sqrt.f64 (+.f64 -1 x)) (+.f64 -1 x)))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 -1 x))) (sqrt.f64 (+.f64 -1 x)) (+.f64 -1 x)) (+.f64 1 (-.f64 (+.f64 (-.f64 1 x) (+.f64 x (fma.f64 1/2 (*.f64 x x) -1))) x))) |
(-.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 -1 x)) (neg.f64 (sqrt.f64 (+.f64 -1 x)))) (-.f64 x 0)) (-.f64 x (fma.f64 1/2 (*.f64 x x) (-.f64 (-.f64 x 0) x)))) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)) (+.f64 x -1)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)) (+.f64 x -1)))) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 -1 x))) (sqrt.f64 (+.f64 -1 x)) (+.f64 -1 x)))) |
(fma.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 -1 x))) (sqrt.f64 (+.f64 -1 x)) (+.f64 -1 x)) (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x -1))) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (+.f64 x -1)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)) (+.f64 x -1)))) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 -1 x))) (sqrt.f64 (+.f64 -1 x)) (+.f64 -1 x)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (+.f64 -1 x)))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 -1 x))) (sqrt.f64 (+.f64 -1 x)) (+.f64 -1 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (+.f64 -1 x)) (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (+.f64 -1 x)) (+.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 (-.f64 x 0) x)) (*.f64 (sqrt.f64 (+.f64 -1 x)) (neg.f64 (sqrt.f64 (+.f64 -1 x)))))) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (+.f64 (fma.f64 (-.f64 1 x) 1 (+.f64 x -1)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x -1))) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (+.f64 x -1)))) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (+.f64 (fma.f64 (-.f64 1 x) 1 (+.f64 -1 x)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (+.f64 -1 x)))) |
(+.f64 (+.f64 (-.f64 1 x) (+.f64 -1 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (+.f64 -1 x)) (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))) |
(-.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 (-.f64 x 0) x)) (-.f64 (-.f64 x (*.f64 (neg.f64 (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))) (-.f64 x 0))) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)) (+.f64 x -1)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x -1))) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (+.f64 x -1)))) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 -1 x))) (sqrt.f64 (+.f64 -1 x)) (+.f64 -1 x)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (+.f64 -1 x)))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 -1 x))) (sqrt.f64 (+.f64 -1 x)) (+.f64 -1 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (+.f64 -1 x)) (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (+.f64 -1 x)) (+.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 (-.f64 x 0) x)) (*.f64 (sqrt.f64 (+.f64 -1 x)) (neg.f64 (sqrt.f64 (+.f64 -1 x)))))) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x -1))) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (+.f64 x -1)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x -1))) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (+.f64 x -1)))) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (+.f64 -1 x)))) |
(fma.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (+.f64 -1 x)) (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (*.f64 1 (fma.f64 (-.f64 1 x) 1 (+.f64 x -1)))) |
(+.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) (fma.f64 (-.f64 1 x) 1 (+.f64 -1 x)))) |
(+.f64 1 (-.f64 (+.f64 (-.f64 1 x) (+.f64 x (fma.f64 1/2 (*.f64 x x) -1))) x)) |
(+.f64 1 (-.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 (-.f64 x 0) x)) x)) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)) (+.f64 x -1)))) |
(+.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 -1 x))) (sqrt.f64 (+.f64 -1 x)) (+.f64 -1 x))) |
(+.f64 1 (-.f64 (fma.f64 1/2 (*.f64 x x) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 -1 x))) (sqrt.f64 (+.f64 -1 x)) (+.f64 -1 x))) x)) |
(+.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 (-.f64 x 0) x)) (*.f64 (sqrt.f64 (+.f64 -1 x)) (neg.f64 (sqrt.f64 (+.f64 -1 x))))) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x -1))) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (+.f64 x -1)))) |
(+.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (+.f64 -1 x)))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (+.f64 -1 x)) (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(+.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 (-.f64 x 0) x)) (*.f64 (neg.f64 (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (*.f64 (fma.f64 (-.f64 1 x) 1 (+.f64 x -1)) 1)) |
(+.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) (fma.f64 (-.f64 1 x) 1 (+.f64 -1 x)))) |
(+.f64 1 (-.f64 (+.f64 (-.f64 1 x) (+.f64 x (fma.f64 1/2 (*.f64 x x) -1))) x)) |
(+.f64 1 (-.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 (-.f64 x 0) x)) x)) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)) (+.f64 x -1)) 1)) |
(+.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 -1 x))) (sqrt.f64 (+.f64 -1 x)) (+.f64 -1 x))) |
(+.f64 1 (-.f64 (fma.f64 1/2 (*.f64 x x) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 -1 x))) (sqrt.f64 (+.f64 -1 x)) (+.f64 -1 x))) x)) |
(+.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 (-.f64 x 0) x)) (*.f64 (sqrt.f64 (+.f64 -1 x)) (neg.f64 (sqrt.f64 (+.f64 -1 x))))) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x -1))) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (+.f64 x -1)) 1)) |
(+.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (+.f64 -1 x)))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (+.f64 -1 x)) (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(+.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 (-.f64 x 0) x)) (*.f64 (neg.f64 (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))) |
(+.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) 1) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(+.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) (+.f64 1 (fma.f64 (-.f64 1 x) 1 (+.f64 x -1)))) |
(+.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) (fma.f64 (-.f64 1 x) 1 (+.f64 -1 x)))) |
(+.f64 1 (-.f64 (+.f64 (-.f64 1 x) (+.f64 x (fma.f64 1/2 (*.f64 x x) -1))) x)) |
(+.f64 1 (-.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 (-.f64 x 0) x)) x)) |
(+.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) (+.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)) (+.f64 x -1)))) |
(+.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 -1 x))) (sqrt.f64 (+.f64 -1 x)) (+.f64 -1 x))) |
(+.f64 1 (-.f64 (fma.f64 1/2 (*.f64 x x) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 -1 x))) (sqrt.f64 (+.f64 -1 x)) (+.f64 -1 x))) x)) |
(+.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 (-.f64 x 0) x)) (*.f64 (sqrt.f64 (+.f64 -1 x)) (neg.f64 (sqrt.f64 (+.f64 -1 x))))) |
(+.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) (+.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x -1))) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (+.f64 x -1)))) |
(+.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (+.f64 -1 x)))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (+.f64 -1 x)) (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(+.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 (-.f64 x 0) x)) (*.f64 (neg.f64 (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))) |
(+.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) 1)) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (fma.f64 (neg.f64 x) 1 x)) |
(+.f64 (-.f64 (*.f64 x (*.f64 x 1/2)) x) (+.f64 (-.f64 1 x) x)) |
(-.f64 (-.f64 (+.f64 x (fma.f64 1/2 (*.f64 x x) 1)) x) x) |
(+.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) 1)) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (fma.f64 (neg.f64 x) 1 x)) |
(+.f64 (-.f64 (*.f64 x (*.f64 x 1/2)) x) (+.f64 (-.f64 1 x) x)) |
(-.f64 (-.f64 (+.f64 x (fma.f64 1/2 (*.f64 x x) 1)) x) x) |
(+.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) 1)) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (fma.f64 (neg.f64 x) 1 x)) |
(+.f64 (-.f64 (*.f64 x (*.f64 x 1/2)) x) (+.f64 (-.f64 1 x) x)) |
(-.f64 (-.f64 (+.f64 x (fma.f64 1/2 (*.f64 x x) 1)) x) x) |
(+.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) (-.f64 (fma.f64 (neg.f64 x) 1 x) -1)) |
(+.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (fma.f64 (neg.f64 x) 1 x)) |
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(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) 3) (pow.f64 (pow.f64 (+.f64 x -1) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 (+.f64 x -1) (fma.f64 x (*.f64 x 1/2) (+.f64 x -1)))))) (+.f64 (*.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (*.f64 1/2 (*.f64 x x)) 3)) (+.f64 (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 x -1) 3)) (*.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (+.f64 x -1) 3))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) 3) (pow.f64 (pow.f64 (+.f64 -1 x) 3) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 (+.f64 -1 x) (fma.f64 x (*.f64 x 1/2) (+.f64 -1 x)))) (+.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 6) (pow.f64 (+.f64 -1 x) 6)) (*.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (+.f64 -1 x) 3))))) |
(/.f64 (/.f64 (-.f64 (*.f64 1/512 (pow.f64 (pow.f64 (*.f64 x x) 3) 3)) (pow.f64 (pow.f64 (+.f64 -1 x) 3) 3)) (fma.f64 (pow.f64 (+.f64 -1 x) 3) (fma.f64 1/8 (pow.f64 (*.f64 x x) 3) (pow.f64 (+.f64 -1 x) 3)) (pow.f64 (*.f64 x (*.f64 x 1/2)) 6))) (fma.f64 (+.f64 -1 x) (+.f64 x (fma.f64 1/2 (*.f64 x x) -1)) (pow.f64 (*.f64 x (*.f64 x 1/2)) 2))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (pow.f64 (+.f64 x -1) 2)) 1) (fma.f64 x (*.f64 x 1/2) (+.f64 x -1))) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (pow.f64 (+.f64 x -1) 2)) (sqrt.f64 (fma.f64 x (*.f64 x 1/2) (+.f64 x -1)))) (sqrt.f64 (fma.f64 x (*.f64 x 1/2) (+.f64 x -1)))) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (pow.f64 (+.f64 x -1) 2)) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) (+.f64 x -1))) (cbrt.f64 (fma.f64 x (*.f64 x 1/2) (+.f64 x -1))))) (cbrt.f64 (fma.f64 x (*.f64 x 1/2) (+.f64 x -1)))) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (+.f64 x -1) 3)) 1) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 (+.f64 x -1) (fma.f64 x (*.f64 x 1/2) (+.f64 x -1))))) |
(/.f64 (*.f64 (-.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (+.f64 -1 x) 3)) 1) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 (+.f64 -1 x) (fma.f64 x (*.f64 x 1/2) (+.f64 -1 x))))) |
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (+.f64 -1 x) 3)) (fma.f64 (+.f64 -1 x) (+.f64 x (fma.f64 1/2 (*.f64 x x) -1)) (pow.f64 (*.f64 x (*.f64 x 1/2)) 2))) |
(/.f64 (fma.f64 1/8 (pow.f64 (*.f64 x x) 3) (pow.f64 (-.f64 1 x) 3)) (fma.f64 (+.f64 -1 x) (+.f64 x (fma.f64 1/2 (*.f64 x x) -1)) (pow.f64 (*.f64 x (*.f64 x 1/2)) 2))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (+.f64 x -1) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 (+.f64 x -1) (fma.f64 x (*.f64 x 1/2) (+.f64 x -1)))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 (+.f64 x -1) (fma.f64 x (*.f64 x 1/2) (+.f64 x -1)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (+.f64 -1 x) 3)) 1) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 (+.f64 -1 x) (fma.f64 x (*.f64 x 1/2) (+.f64 -1 x))))) |
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (+.f64 -1 x) 3)) (fma.f64 (+.f64 -1 x) (+.f64 x (fma.f64 1/2 (*.f64 x x) -1)) (pow.f64 (*.f64 x (*.f64 x 1/2)) 2))) |
(/.f64 (fma.f64 1/8 (pow.f64 (*.f64 x x) 3) (pow.f64 (-.f64 1 x) 3)) (fma.f64 (+.f64 -1 x) (+.f64 x (fma.f64 1/2 (*.f64 x x) -1)) (pow.f64 (*.f64 x (*.f64 x 1/2)) 2))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (+.f64 x -1) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 (+.f64 x -1) (fma.f64 x (*.f64 x 1/2) (+.f64 x -1))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 (+.f64 x -1) (fma.f64 x (*.f64 x 1/2) (+.f64 x -1))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 (+.f64 x -1) (fma.f64 x (*.f64 x 1/2) (+.f64 x -1)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (+.f64 -1 x) 3)) 1) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 (+.f64 -1 x) (fma.f64 x (*.f64 x 1/2) (+.f64 -1 x))))) |
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (+.f64 -1 x) 3)) (fma.f64 (+.f64 -1 x) (+.f64 x (fma.f64 1/2 (*.f64 x x) -1)) (pow.f64 (*.f64 x (*.f64 x 1/2)) 2))) |
(/.f64 (fma.f64 1/8 (pow.f64 (*.f64 x x) 3) (pow.f64 (-.f64 1 x) 3)) (fma.f64 (+.f64 -1 x) (+.f64 x (fma.f64 1/2 (*.f64 x x) -1)) (pow.f64 (*.f64 x (*.f64 x 1/2)) 2))) |
(pow.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) 1) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 2) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 3) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) 3) 1/3) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) 2)) |
(fabs.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(log.f64 (exp.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) 3)) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(exp.f64 (log.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(fma.f64 (*.f64 x 1/2) x (-.f64 1 x)) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(fma.f64 1 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x)) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(fma.f64 (*.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)) (-.f64 1 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) 2) (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (-.f64 1 x)) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(fma.f64 (*.f64 x x) 1/2 (-.f64 1 x)) |
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x) |
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))) 1) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(*.f64 1 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(*.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 1) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(*.f64 (sqrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) (sqrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(*.f64 (cbrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) 2)) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(pow.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 1) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(pow.f64 (sqrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) 2) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) 3) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(pow.f64 (pow.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 3) 1/3) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(sqrt.f64 (pow.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 2)) |
(fabs.f64 (atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))) |
(log.f64 (exp.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(cbrt.f64 (pow.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 3)) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(expm1.f64 (log1p.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(exp.f64 (log.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
(log1p.f64 (expm1.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))) |
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.01% | (*.f64 (*.f64 x x) -1/2) |
| ✓ | 0.02% | (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 (*.f64 x x) -1/2))) |
| ✓ | 0.02% | (atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 (*.f64 x x) -1/2)))) |
Compiled 60 to 38 computations (36.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 (*.f64 x x) -1/2))) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 x x) -1/2) |
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 x x) -1/2) |
| 0.0ms | x | @ | inf | (atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 (*.f64 x x) -1/2)))) |
| 0.0ms | x | @ | 0 | (atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 (*.f64 x x) -1/2)))) |
| 1× | batch-egg-rewrite |
| 1798× | associate-*r/ |
| 1500× | associate-*l/ |
| 1162× | associate-/r* |
| 284× | associate-+l+ |
| 266× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 79 |
| 1 | 259 | 71 |
| 2 | 3498 | 71 |
| 1× | node limit |
| Inputs |
|---|
(atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 (*.f64 x x) -1/2)))) |
(/.f64 (-.f64 1 x) (+.f64 1 (*.f64 (*.f64 x x) -1/2))) |
(*.f64 (*.f64 x x) -1/2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) (sqrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 2) (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)) (neg.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 1))) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)) (/.f64 x (fma.f64 x (*.f64 x -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 2) (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 x) (/.f64 -1 (fma.f64 x (*.f64 x -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) (/.f64 (-.f64 1 x) (hypot.f64 1 (*.f64 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x (*.f64 x -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) (/.f64 (cbrt.f64 (-.f64 1 x)) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 x) (-.f64 -1 (*.f64 (*.f64 x x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (*.f64 (*.f64 x x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (*.f64 (*.f64 x x) -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 (*.f64 x x) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) -1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (*.f64 x -1/2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 (*.f64 x x) -1/2))) (+.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 1 (*.f64 (*.f64 x x) -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) -1/2))))))) |
| 1× | egg-herbie |
| 798× | associate-+l- |
| 756× | associate-+r- |
| 746× | fma-def |
| 722× | unswap-sqr |
| 644× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 210 | 3050 |
| 1 | 517 | 3000 |
| 2 | 1885 | 2940 |
| 3 | 7121 | 2940 |
| 1× | node limit |
| Inputs |
|---|
(atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) |
(atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) |
(atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) |
(atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 1/2 (pow.f64 x 2))))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 1/2 (pow.f64 x 2))))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 1/2 (pow.f64 x 2))))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 1/2 (pow.f64 x 2))))) |
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 1/2 (pow.f64 x 2))))) |
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 1/2 (pow.f64 x 2))))) |
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 1/2 (pow.f64 x 2))))) |
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 1/2 (pow.f64 x 2))))) |
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(/.f64 2 x) |
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(/.f64 2 x) |
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))) 1) |
(*.f64 1 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) |
(*.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 1) |
(*.f64 (sqrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) (sqrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))) |
(*.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 2) (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))) |
(pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 1) |
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 2) |
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 3) |
(pow.f64 (pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 3) 1/3) |
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 2)) |
(log.f64 (exp.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))) |
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))))) |
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 3)) |
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))) |
(exp.f64 (log.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))) |
(exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 1)) |
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))) |
(+.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)) (neg.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 1)))) |
(+.f64 (neg.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 1))) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1))) |
(-.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)) (/.f64 x (fma.f64 x (*.f64 x -1/2) 1))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 1) |
(*.f64 1 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) |
(*.f64 (-.f64 1 x) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1))) |
(*.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 1) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) |
(*.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 2) (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)))) |
(*.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)) (-.f64 1 x)) |
(*.f64 (+.f64 -1 x) (/.f64 -1 (fma.f64 x (*.f64 x -1/2) 1))) |
(*.f64 (/.f64 1 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) (/.f64 (-.f64 1 x) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)))) |
(*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 4)))) (-.f64 1 (*.f64 (*.f64 x x) -1/2))) |
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)))) (+.f64 1 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 (*.f64 x x) -1/2)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (*.f64 x -1/2) 1))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) (fma.f64 x (*.f64 x -1/2) 1))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) (/.f64 (cbrt.f64 (-.f64 1 x)) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) |
(pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 3) 1/3) |
(pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (-.f64 1 x)) -1) |
(neg.f64 (/.f64 (-.f64 1 x) (-.f64 -1 (*.f64 (*.f64 x x) -1/2)))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (*.f64 (*.f64 x x) -1/2)))) |
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (*.f64 (*.f64 x x) -1/2))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 x x) -1/2) 1)) |
(+.f64 (*.f64 (*.f64 x x) -1/2) 0) |
(-.f64 (fma.f64 x (*.f64 x -1/2) 1) 1) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) 1))) 2) |
(-.f64 (/.f64 1 (-.f64 1 (*.f64 (*.f64 x x) -1/2))) (+.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 1 (*.f64 (*.f64 x x) -1/2))) 1)) |
(pow.f64 (*.f64 (*.f64 x x) -1/2) 1) |
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) -1/2)) 3) |
(pow.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)) 1/3) |
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) -1/2)))) |
(cbrt.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) -1/2))) |
(exp.f64 (log.f64 (*.f64 (*.f64 x x) -1/2))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) -1/2)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) -1/2))) |
| Outputs |
|---|
(atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) |
(atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) |
(atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) |
(atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 1/2 (pow.f64 x 2))))) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 1/2 (pow.f64 x 2))))) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 1/2 (pow.f64 x 2))))) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 1/2 (pow.f64 x 2))))) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) |
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 1/2 (pow.f64 x 2))))) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) |
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 1/2 (pow.f64 x 2))))) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) |
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 1/2 (pow.f64 x 2))))) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) |
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 1/2 (pow.f64 x 2))))) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) |
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) |
(+.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 2 x) |
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))) |
(-.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x)) |
(+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 4 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))) |
(+.f64 (-.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x)) (/.f64 4 (pow.f64 x 3))) |
(+.f64 (/.f64 2 x) (+.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 4 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 4 (pow.f64 x 4))))) |
(-.f64 (+.f64 (-.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x)) (/.f64 4 (pow.f64 x 3))) (/.f64 4 (pow.f64 x 4))) |
(+.f64 (/.f64 2 x) (+.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -4 (pow.f64 x 4))))) |
(/.f64 2 x) |
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))) |
(-.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x)) |
(+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 4 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))) |
(+.f64 (-.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x)) (/.f64 4 (pow.f64 x 3))) |
(+.f64 (/.f64 2 x) (+.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 4 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 4 (pow.f64 x 4))))) |
(-.f64 (+.f64 (-.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x)) (/.f64 4 (pow.f64 x 3))) (/.f64 4 (pow.f64 x 4))) |
(+.f64 (/.f64 2 x) (+.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -4 (pow.f64 x 4))))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))) 1) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) |
(*.f64 1 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) |
(*.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 1) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) |
(*.f64 (sqrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) (sqrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) |
(*.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 2)) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) |
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 2) (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) |
(pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 1) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) |
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 2) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) |
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 3) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) |
(pow.f64 (pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 3) 1/3) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) |
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 2)) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) |
(log.f64 (exp.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) |
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))))) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) |
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 3)) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) |
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) |
(exp.f64 (log.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) |
(exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 1)) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) |
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) |
(+.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)) (neg.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 1)))) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) |
(+.f64 (neg.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 1))) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1))) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) |
(-.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)) (/.f64 x (fma.f64 x (*.f64 x -1/2) 1))) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 1) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) |
(*.f64 1 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) |
(*.f64 (-.f64 1 x) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1))) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) |
(*.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 1) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) |
(*.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)))) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 2)) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 2) (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)))) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) |
(*.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)) (-.f64 1 x)) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) |
(*.f64 (+.f64 -1 x) (/.f64 -1 (fma.f64 x (*.f64 x -1/2) 1))) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) |
(*.f64 (/.f64 1 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) (/.f64 (-.f64 1 x) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))))) |
(/.f64 (/.f64 (-.f64 1 x) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)))) |
(/.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2)) |
(/.f64 (-.f64 1 x) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2))) |
(*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 4)))) (-.f64 1 (*.f64 (*.f64 x x) -1/2))) |
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 4)))) (-.f64 1 (*.f64 -1/2 (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 1 x) (+.f64 1 (*.f64 x (*.f64 x 1/2)))) (+.f64 1 (*.f64 (pow.f64 x 4) -1/4))) |
(/.f64 (-.f64 1 x) (/.f64 (fma.f64 (pow.f64 x 4) -1/4 1) (fma.f64 x (*.f64 x 1/2) 1))) |
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)))) (+.f64 1 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 (*.f64 x x) -1/2)))) |
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)))) (+.f64 1 (fma.f64 1/4 (pow.f64 x 4) (neg.f64 (*.f64 -1/2 (*.f64 x x)))))) |
(*.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/8 (pow.f64 x 6) 1)) (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 x (*.f64 x 1/2))))) |
(*.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/8 (pow.f64 x 6) 1)) (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 x (*.f64 x 1/2) 1))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (*.f64 x -1/2) 1))) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)))) |
(/.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2)) |
(/.f64 (-.f64 1 x) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) (fma.f64 x (*.f64 x -1/2) 1))) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) (/.f64 (cbrt.f64 (-.f64 1 x)) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))))) |
(*.f64 (/.f64 1 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) (/.f64 (-.f64 1 x) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))))) |
(/.f64 (/.f64 (-.f64 1 x) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2))) |
(pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 1) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 2) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 3) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) |
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 3) 1/3) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) |
(pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (-.f64 1 x)) -1) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) |
(neg.f64 (/.f64 (-.f64 1 x) (-.f64 -1 (*.f64 (*.f64 x x) -1/2)))) |
(/.f64 (neg.f64 (-.f64 1 x)) (-.f64 -1 (*.f64 -1/2 (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 1 x)) (+.f64 (*.f64 x (*.f64 x 1/2)) -1)) |
(/.f64 (+.f64 x -1) (fma.f64 x (*.f64 x 1/2) -1)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 2)) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) |
(log.f64 (exp.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 3)) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (*.f64 (*.f64 x x) -1/2)))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (*.f64 -1/2 (*.f64 x x))))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (*.f64 x (*.f64 x -1/2))))) |
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (*.f64 (*.f64 x x) -1/2))) 1)) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (*.f64 -1/2 (*.f64 x x))))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (*.f64 x (*.f64 x -1/2))))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) |
(+.f64 1 (-.f64 (*.f64 (*.f64 x x) -1/2) 1)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(+.f64 (*.f64 (*.f64 x x) -1/2) 0) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(-.f64 (fma.f64 x (*.f64 x -1/2) 1) 1) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) 1))) 2) |
(+.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) 1))) -2) |
(-.f64 (/.f64 1 (-.f64 1 (*.f64 (*.f64 x x) -1/2))) (+.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 1 (*.f64 (*.f64 x x) -1/2))) 1)) |
(-.f64 (/.f64 1 (-.f64 1 (*.f64 -1/2 (*.f64 x x)))) (+.f64 1 (/.f64 1/4 (/.f64 (-.f64 1 (*.f64 -1/2 (*.f64 x x))) (pow.f64 x 4))))) |
(+.f64 (-.f64 (/.f64 1 (+.f64 1 (*.f64 x (*.f64 x 1/2)))) (*.f64 (/.f64 1/4 (+.f64 1 (*.f64 x (*.f64 x 1/2)))) (pow.f64 x 4))) -1) |
(+.f64 -1 (/.f64 (fma.f64 (pow.f64 x 4) -1/4 1) (fma.f64 x (*.f64 x 1/2) 1))) |
(pow.f64 (*.f64 (*.f64 x x) -1/2) 1) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) -1/2)) 3) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(pow.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)) 1/3) |
(cbrt.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3))) |
(cbrt.f64 (*.f64 -1/8 (pow.f64 x 6))) |
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4))) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4)) |
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x))) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) -1/2)))) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(cbrt.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3))) |
(cbrt.f64 (*.f64 -1/8 (pow.f64 x 6))) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) -1/2))) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(exp.f64 (log.f64 (*.f64 (*.f64 x x) -1/2))) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) -1/2)) 1)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) -1/2))) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.02% | (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -1/2)) |
| 0.04% | (/.f64 (-.f64 -1 x) (+.f64 x -1)) |
Compiled 49 to 38 computations (22.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -1/2)) |
| 0.0ms | x | @ | -inf | (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -1/2)) |
| 0.0ms | x | @ | inf | (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -1/2)) |
| 1× | batch-egg-rewrite |
| 1484× | associate-*l/ |
| 1418× | associate-/r* |
| 1092× | associate-/l* |
| 1090× | *-commutative |
| 810× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 29 |
| 1 | 249 | 29 |
| 2 | 3322 | 29 |
| 1× | node limit |
| Inputs |
|---|
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -1/2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2))) (sqrt.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2))) (pow.f64 (cbrt.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2))) 2) (cbrt.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2)))))))) |
| 1× | egg-herbie |
| 804× | *-commutative |
| 770× | associate-*r* |
| 604× | distribute-lft-in |
| 596× | associate-*l* |
| 520× | distribute-rgt-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 957 |
| 1 | 118 | 841 |
| 2 | 435 | 841 |
| 3 | 2210 | 841 |
| 4 | 5440 | 841 |
| 1× | node limit |
| Inputs |
|---|
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (+.f64 1 x) (-.f64 x 1))) -1/2)) |
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (+.f64 1 x) (-.f64 x 1))) -1/2)) |
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (+.f64 1 x) (-.f64 x 1))) -1/2)) |
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (+.f64 1 x) (-.f64 x 1))) -1/2)) |
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (+.f64 1 x) (-.f64 x 1))) -1/2)) |
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (+.f64 1 x) (-.f64 x 1))) -1/2)) |
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (+.f64 1 x) (-.f64 x 1))) -1/2)) |
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (+.f64 1 x) (-.f64 x 1))) -1/2)) |
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) 1) (+.f64 1 (*.f64 -1 x)))) -1/2)) |
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) 1) (+.f64 1 (*.f64 -1 x)))) -1/2)) |
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) 1) (+.f64 1 (*.f64 -1 x)))) -1/2)) |
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) 1) (+.f64 1 (*.f64 -1 x)))) -1/2)) |
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2)))) 1) |
(*.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2)) 1) |
(*.f64 1 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2))) |
(*.f64 (sqrt.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2))) (sqrt.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2)))) |
(*.f64 (cbrt.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2))) (pow.f64 (cbrt.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2))) 2) (cbrt.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2)))) |
(pow.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2)) 1) |
(pow.f64 (sqrt.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2))) 2) |
(pow.f64 (cbrt.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2))) 3) |
(pow.f64 (pow.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2)) 3) 1/3) |
(sqrt.f64 (pow.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2)) 2)) |
(log.f64 (exp.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2)))) |
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2))))) |
(cbrt.f64 (pow.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2)) 3)) |
(expm1.f64 (log1p.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2)))) |
(exp.f64 (log.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2)))) |
(log1p.f64 (expm1.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2)))) |
| Outputs |
|---|
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (+.f64 1 x) (-.f64 x 1))) -1/2)) |
(atan.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) |
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (+.f64 1 x) (-.f64 x 1))) -1/2)) |
(atan.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) |
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (+.f64 1 x) (-.f64 x 1))) -1/2)) |
(atan.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) |
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (+.f64 1 x) (-.f64 x 1))) -1/2)) |
(atan.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) |
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (+.f64 1 x) (-.f64 x 1))) -1/2)) |
(atan.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) |
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (+.f64 1 x) (-.f64 x 1))) -1/2)) |
(atan.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) |
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (+.f64 1 x) (-.f64 x 1))) -1/2)) |
(atan.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) |
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (+.f64 1 x) (-.f64 x 1))) -1/2)) |
(atan.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) |
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) 1) (+.f64 1 (*.f64 -1 x)))) -1/2)) |
(atan.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) |
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) 1) (+.f64 1 (*.f64 -1 x)))) -1/2)) |
(atan.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) |
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) 1) (+.f64 1 (*.f64 -1 x)))) -1/2)) |
(atan.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) |
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) 1) (+.f64 1 (*.f64 -1 x)))) -1/2)) |
(atan.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) |
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2)))) 1) |
(atan.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) |
(*.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2)) 1) |
(atan.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) |
(*.f64 1 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2))) |
(atan.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) |
(*.f64 (sqrt.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2))) (sqrt.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2)))) |
(atan.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) |
(*.f64 (cbrt.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2))) (pow.f64 (cbrt.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2))) 2)) |
(atan.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) |
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2))) 2) (cbrt.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2)))) |
(atan.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) |
(pow.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2)) 1) |
(atan.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) |
(pow.f64 (sqrt.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2))) 2) |
(atan.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) |
(pow.f64 (cbrt.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2))) 3) |
(atan.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) |
(pow.f64 (pow.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2)) 3) 1/3) |
(atan.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) |
(sqrt.f64 (pow.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2)) 2)) |
(atan.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) |
(log.f64 (exp.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2)))) |
(atan.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) |
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2))))) |
(atan.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) |
(cbrt.f64 (pow.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2)) 3)) |
(atan.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) |
(expm1.f64 (log1p.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2)))) |
(atan.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) |
(exp.f64 (log.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2)))) |
(atan.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) |
(log1p.f64 (expm1.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (-.f64 x 1)) -1/2)))) |
(atan.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/2)) |
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) |
Compiled 15177 to 11405 computations (24.9% saved)
9 alts after pruning (1 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 587 | 1 | 588 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 7 | 7 |
| Total | 587 | 9 | 596 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.01% | (*.f64 2 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -1/2))) |
| ▶ | 0.87% | (*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) -1/2) 1)))))) |
| ✓ | 0.88% | (*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 (*.f64 x x) -1/2))))) |
| ✓ | 0.03% | (*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))))) |
| ✓ | 1.24% | (*.f64 2 (atan.f64 (-.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 x 1)))) |
| ✓ | 1.62% | (*.f64 2 (atan.f64 (-.f64 1 x))) |
| ✓ | 1.24% | (*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x)))) |
| ✓ | 0.02% | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| ✓ | 3.08% | (*.f64 2 (atan.f64 1)) |
Compiled 111 to 92 computations (17.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.01% | (*.f64 (*.f64 x x) -1/2) | |
| ✓ | 0.02% | (/.f64 (-.f64 1 x) (+.f64 1 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) -1/2) 1)))) |
| ✓ | 0.02% | (atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) -1/2) 1))))) |
| ✓ | 6.41% | (+.f64 1 (-.f64 (*.f64 (*.f64 x x) -1/2) 1)) |
Compiled 92 to 64 computations (30.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (+.f64 1 (-.f64 (*.f64 (*.f64 x x) -1/2) 1)) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 1 x) (+.f64 1 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) -1/2) 1)))) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 1 x) (+.f64 1 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) -1/2) 1)))) |
| 0.0ms | x | @ | 0 | (+.f64 1 (-.f64 (*.f64 (*.f64 x x) -1/2) 1)) |
| 0.0ms | x | @ | inf | (atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) -1/2) 1))))) |
| 1× | batch-egg-rewrite |
| 1600× | associate-/r* |
| 1292× | associate-/l* |
| 480× | associate-+l+ |
| 372× | associate-+r+ |
| 338× | +-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 91 |
| 1 | 324 | 71 |
| 2 | 4720 | 71 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1 (-.f64 (*.f64 (*.f64 x x) -1/2) 1)) |
(atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) -1/2) 1))))) |
(/.f64 (-.f64 1 x) (+.f64 1 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) -1/2) 1)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x -1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (*.f64 x -1/2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 x (*.f64 x -1/2)))) (-.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (-.f64 1 (*.f64 x (*.f64 x -1/2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 x (*.f64 x -1/2)))) (+.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (-.f64 1 (*.f64 x (*.f64 x -1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 2 (*.f64 x (*.f64 x -1/2)))) (/.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 2 (*.f64 x (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 2 (*.f64 x (*.f64 x -1/2)))) (-.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 2 (*.f64 x (*.f64 x -1/2)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 2 (*.f64 x (*.f64 x -1/2)))) (+.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 2 (*.f64 x (*.f64 x -1/2)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (fma.f64 x (*.f64 x -1/2) 1)) (-.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x x) 3) (/.f64 (+.f64 (fma.f64 x (*.f64 x -1/2) 1) (*.f64 (pow.f64 x 4) 1/4)) -1/8)) (-.f64 (/.f64 1 (+.f64 (fma.f64 x (*.f64 x -1/2) 1) (*.f64 (pow.f64 x 4) 1/4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (fma.f64 x (*.f64 x -1/2) 1))) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (pow.f64 (*.f64 x x) 3) (/.f64 (+.f64 (fma.f64 x (*.f64 x -1/2) 1) (*.f64 (pow.f64 x 4) 1/4)) -1/8))) (/.f64 1 (+.f64 (fma.f64 x (*.f64 x -1/2) 1) (*.f64 (pow.f64 x 4) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 (*.f64 x (sqrt.f64 -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2)) (/.f64 1 (-.f64 2 (*.f64 x (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 2 (*.f64 x (*.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 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| 1× | egg-herbie |
| 1194× | associate-/r* |
| 866× | *-commutative |
| 770× | associate-*r/ |
| 466× | associate-+r+ |
| 440× | associate-+l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 331 | 5584 |
| 1 | 825 | 5462 |
| 2 | 3236 | 5384 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) |
(atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) |
(atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) |
(atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 1/2 (pow.f64 x 2))))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 1/2 (pow.f64 x 2))))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 1/2 (pow.f64 x 2))))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 1/2 (pow.f64 x 2))))) |
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 1/2 (pow.f64 x 2))))) |
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 1/2 (pow.f64 x 2))))) |
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 1/2 (pow.f64 x 2))))) |
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 1/2 (pow.f64 x 2))))) |
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(/.f64 2 x) |
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(/.f64 2 x) |
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (*.f64 x (*.f64 x -1/2)) 0) |
(-.f64 (fma.f64 x (*.f64 x -1/2) 1) 1) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) 1))) 2) |
(-.f64 (/.f64 1 (-.f64 1 (*.f64 x (*.f64 x -1/2)))) (-.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (-.f64 1 (*.f64 x (*.f64 x -1/2)))) -1)) |
(-.f64 (/.f64 1 (-.f64 1 (*.f64 x (*.f64 x -1/2)))) (+.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (-.f64 1 (*.f64 x (*.f64 x -1/2)))) 1)) |
(-.f64 (/.f64 1 (-.f64 2 (*.f64 x (*.f64 x -1/2)))) (/.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 2 (*.f64 x (*.f64 x -1/2))))) |
(-.f64 (/.f64 1 (-.f64 2 (*.f64 x (*.f64 x -1/2)))) (-.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 2 (*.f64 x (*.f64 x -1/2)))) 0)) |
(-.f64 (/.f64 1 (-.f64 2 (*.f64 x (*.f64 x -1/2)))) (+.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 2 (*.f64 x (*.f64 x -1/2)))) 0)) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (fma.f64 x (*.f64 x -1/2) 1)) (-.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)) 1)) |
(-.f64 (/.f64 (pow.f64 (*.f64 x x) 3) (/.f64 (+.f64 (fma.f64 x (*.f64 x -1/2) 1) (*.f64 (pow.f64 x 4) 1/4)) -1/8)) (-.f64 (/.f64 1 (+.f64 (fma.f64 x (*.f64 x -1/2) 1) (*.f64 (pow.f64 x 4) 1/4))) 1)) |
(-.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) 2) 2) |
(-.f64 (+.f64 1 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (fma.f64 x (*.f64 x -1/2) 1))) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1))) |
(-.f64 (+.f64 1 (/.f64 (pow.f64 (*.f64 x x) 3) (/.f64 (+.f64 (fma.f64 x (*.f64 x -1/2) 1) (*.f64 (pow.f64 x 4) 1/4)) -1/8))) (/.f64 1 (+.f64 (fma.f64 x (*.f64 x -1/2) 1) (*.f64 (pow.f64 x 4) 1/4)))) |
(*.f64 1 (*.f64 x (*.f64 x -1/2))) |
(*.f64 x (*.f64 x -1/2)) |
(*.f64 x (*.f64 (*.f64 x -1/2) 1)) |
(*.f64 (*.f64 x x) -1/2) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 (*.f64 x (*.f64 x -1/2)) 1) |
(*.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2))) |
(*.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 (*.f64 x (sqrt.f64 -1/2)) 1)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -1/2))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2)) |
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 x (*.f64 x -1/2)))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 1)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x -1/2))) |
(*.f64 (*.f64 x -1/2) x) |
(*.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2)) (/.f64 1 (-.f64 2 (*.f64 x (*.f64 x -1/2))))) |
(*.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 2 (*.f64 x (*.f64 x -1/2)))))) |
(*.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 1 (/.f64 1 (*.f64 x (*.f64 x -1/2)))) |
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2)) (-.f64 2 (*.f64 x (*.f64 x -1/2)))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 2 (*.f64 x (*.f64 x -1/2))))) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3))) (/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 2 (*.f64 x (*.f64 x -1/2)))) (sqrt.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3))))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2))) (/.f64 (-.f64 2 (*.f64 x (*.f64 x -1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3)))) (/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 2 (*.f64 x (*.f64 x -1/2)))) (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2)))) (/.f64 (-.f64 2 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) 1) (+.f64 (*.f64 x (*.f64 x -1/2)) -2)) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) 1) 2) 1) (+.f64 (*.f64 x (*.f64 x -1/2)) 2)) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) 1) 3) 1) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) 1) 2) (+.f64 (*.f64 x (*.f64 x -1/2)) 2))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2))) (neg.f64 (-.f64 2 (*.f64 x (*.f64 x -1/2))))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 2 (*.f64 x (*.f64 x -1/2)))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2)) 1) (-.f64 2 (*.f64 x (*.f64 x -1/2)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2)) (sqrt.f64 (-.f64 2 (*.f64 x (*.f64 x -1/2))))) (sqrt.f64 (-.f64 2 (*.f64 x (*.f64 x -1/2))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2)) (*.f64 (cbrt.f64 (-.f64 2 (*.f64 x (*.f64 x -1/2)))) (cbrt.f64 (-.f64 2 (*.f64 x (*.f64 x -1/2)))))) (cbrt.f64 (-.f64 2 (*.f64 x (*.f64 x -1/2))))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3)) 1) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 2 (*.f64 x (*.f64 x -1/2))))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 2 (*.f64 x (*.f64 x -1/2)))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 2 (*.f64 x (*.f64 x -1/2)))))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 2 (*.f64 x (*.f64 x -1/2))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 2 (*.f64 x (*.f64 x -1/2))))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 2 (*.f64 x (*.f64 x -1/2)))))) |
(pow.f64 (*.f64 x (*.f64 x -1/2)) 1) |
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 3) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2))))) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2)))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x -1/2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/2))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/2)))) |
(fma.f64 1 (fma.f64 x (*.f64 x -1/2) -1) 1) |
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) 1) |
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))) 1) |
(*.f64 1 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) |
(*.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 1) |
(*.f64 (sqrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) (sqrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))) |
(*.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 2) (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))) |
(pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 1) |
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 2) |
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 3) |
(pow.f64 (pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 3) 1/3) |
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 2)) |
(log.f64 (exp.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))) |
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))))) |
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 3)) |
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))) |
(exp.f64 (log.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))) |
(exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 1)) |
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))) |
(+.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)) (neg.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 1)))) |
(+.f64 (neg.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 1))) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1))) |
(-.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)) (/.f64 x (fma.f64 x (*.f64 x -1/2) 1))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 1) |
(*.f64 1 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) |
(*.f64 (-.f64 1 x) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1))) |
(*.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 1) |
(*.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) |
(*.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)) (-.f64 1 x)) |
(*.f64 (+.f64 -1 x) (/.f64 -1 (fma.f64 x (*.f64 x -1/2) 1))) |
(*.f64 (/.f64 1 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) (/.f64 (-.f64 1 x) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)))) |
(*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 (pow.f64 x 4) 1/4))) (-.f64 1 (*.f64 x (*.f64 x -1/2)))) |
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3))) (-.f64 (*.f64 (pow.f64 x 4) 1/4) (fma.f64 x (*.f64 x -1/2) -1))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (*.f64 x -1/2) 1))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) (fma.f64 x (*.f64 x -1/2) 1))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) (/.f64 (cbrt.f64 (-.f64 1 x)) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) |
(pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 3) 1/3) |
(pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (-.f64 1 x)) -1) |
(neg.f64 (/.f64 (-.f64 1 x) (-.f64 -1 (*.f64 x (*.f64 x -1/2))))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (fma.f64 x (*.f64 x -1/2) 1) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (*.f64 x (*.f64 x -1/2))))) |
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (*.f64 x (*.f64 x -1/2)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) |
| Outputs |
|---|
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1))) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1))) |
(atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) |
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1 |
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(-.f64 (*.f64 x (*.f64 x -1/2)) 0) |
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(*.f64 (*.f64 x x) -1/2) |
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(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1))) |
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 2)) |
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1))) 2)) |
(fabs.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)))) |
(log.f64 (exp.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1))) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1))) |
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))))) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1))) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1))) |
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 3)) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1))) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1))) |
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1))) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1))) |
(exp.f64 (log.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1))) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1))) |
(exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 1)) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1))) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1))) |
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1))) |
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1))) |
(+.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)) (neg.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 1)))) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1)) |
(/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)) |
(+.f64 (neg.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 1))) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1))) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1)) |
(/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)) |
(-.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)) (/.f64 x (fma.f64 x (*.f64 x -1/2) 1))) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1)) |
(/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 1) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1)) |
(/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)) |
(*.f64 1 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1)) |
(/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)) |
(*.f64 (-.f64 1 x) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1))) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1)) |
(/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)) |
(*.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 1) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1)) |
(/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)) |
(*.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)))) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1)) |
(/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1)) |
(/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)))) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1)) |
(/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 2))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1)) 2))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1)) 2))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)) 2))) |
(*.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)) (-.f64 1 x)) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1)) |
(/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)) |
(*.f64 (+.f64 -1 x) (/.f64 -1 (fma.f64 x (*.f64 x -1/2) 1))) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1)) |
(/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)) |
(*.f64 (/.f64 1 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) (/.f64 (-.f64 1 x) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))))) |
(/.f64 (*.f64 (/.f64 1 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) (-.f64 1 x)) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) |
(/.f64 (/.f64 (-.f64 1 x) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 1)) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 1)))) |
(/.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 2)) |
(/.f64 (-.f64 1 x) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)))) |
(*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 (pow.f64 x 4) 1/4))) (-.f64 1 (*.f64 x (*.f64 x -1/2)))) |
(/.f64 (*.f64 (-.f64 1 x) (-.f64 1 (*.f64 -1/2 (*.f64 x x)))) (-.f64 1 (*.f64 (pow.f64 x 4) 1/4))) |
(*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 (pow.f64 x 4) 1/4))) (+.f64 1 (*.f64 x (*.f64 x 1/2)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 -1/2 (*.f64 x x) -1) (-.f64 1 x))) (+.f64 1 (*.f64 (pow.f64 x 4) -1/4))) |
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3))) (-.f64 (*.f64 (pow.f64 x 4) 1/4) (fma.f64 x (*.f64 x -1/2) -1))) |
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3))) (-.f64 (*.f64 (pow.f64 x 4) 1/4) (fma.f64 x (*.f64 -1/2 x) -1))) |
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 (pow.f64 x 6) -1/8))) (-.f64 (*.f64 (pow.f64 x 4) 1/4) (fma.f64 -1/2 (*.f64 x x) -1))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (*.f64 x -1/2) 1))) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1)) |
(/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 1)) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 1)))) |
(/.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 2)) |
(/.f64 (-.f64 1 x) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) (fma.f64 x (*.f64 x -1/2) 1))) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1)) |
(/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) (/.f64 (cbrt.f64 (-.f64 1 x)) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))))) |
(/.f64 (*.f64 (/.f64 1 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) (-.f64 1 x)) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) |
(/.f64 (/.f64 (-.f64 1 x) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 1)) 2))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 2))) |
(pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 1) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1)) |
(/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 2) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1)) |
(/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 3) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1)) |
(/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)) |
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 3) 1/3) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1)) |
(/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)) |
(pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (-.f64 1 x)) -1) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1)) |
(/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)) |
(neg.f64 (/.f64 (-.f64 1 x) (-.f64 -1 (*.f64 x (*.f64 x -1/2))))) |
(/.f64 (neg.f64 (-.f64 1 x)) (-.f64 -1 (*.f64 -1/2 (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 1 x)) (+.f64 (*.f64 x (*.f64 x 1/2)) -1)) |
(/.f64 (+.f64 x -1) (+.f64 (*.f64 x (*.f64 x 1/2)) -1)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1)) 2)) |
(fabs.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1))) |
(log.f64 (exp.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1)) |
(/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1)) |
(/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 3)) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1)) |
(/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (fma.f64 x (*.f64 x -1/2) 1) 3))) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1)) |
(/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1)) |
(/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (*.f64 x (*.f64 x -1/2))))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (*.f64 -1/2 (*.f64 x x))))) |
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (*.f64 x (*.f64 x -1/2)))) 1)) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (*.f64 -1/2 (*.f64 x x))))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) |
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 -1/2 x) 1)) |
(/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)) |
Compiled 5660 to 4507 computations (20.4% saved)
9 alts after pruning (0 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 235 | 0 | 235 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 8 | 8 |
| Total | 235 | 9 | 244 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.01% | (*.f64 2 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -1/2))) |
| ✓ | 0.87% | (*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) -1/2) 1)))))) |
| ✓ | 0.88% | (*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 (*.f64 x x) -1/2))))) |
| ✓ | 0.03% | (*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))))) |
| ✓ | 1.24% | (*.f64 2 (atan.f64 (-.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 x 1)))) |
| ✓ | 1.62% | (*.f64 2 (atan.f64 (-.f64 1 x))) |
| ✓ | 1.24% | (*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x)))) |
| ✓ | 0.02% | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| ✓ | 3.08% | (*.f64 2 (atan.f64 1)) |
Compiled 111 to 92 computations (17.1% saved)
| Inputs |
|---|
(*.f64 2 (atan.f64 1)) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x)))) |
(*.f64 2 (atan.f64 (-.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 x 1)))) |
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 (*.f64 x x) -1/2))))) |
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x)))) |
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) -1/2) 1)))))) |
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(*.f64 2 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -1/2))) |
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))))) |
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -1/2))) |
5 calls:
| 32.0ms | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| 6.0ms | x |
| 2.0ms | (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
| 2.0ms | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
| 2.0ms | (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| Error | Segments | Branch |
|---|---|---|
| 0.01% | 1 | x |
| 0.01% | 1 | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| 0.01% | 1 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
| 0.01% | 1 | (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| 0.01% | 1 | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
Compiled 173 to 135 computations (22% saved)
| Inputs |
|---|
(*.f64 2 (atan.f64 1)) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x)))) |
(*.f64 2 (atan.f64 (-.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 x 1)))) |
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 (*.f64 x x) -1/2))))) |
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x)))) |
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) -1/2) 1)))))) |
(*.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))))) |
5 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 | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
| 2.0ms | (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| Error | Segments | Branch |
|---|---|---|
| 0.02% | 1 | x |
| 0.02% | 1 | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| 0.02% | 1 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
| 0.02% | 1 | (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| 0.02% | 1 | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
Compiled 135 to 105 computations (22.2% saved)
| Inputs |
|---|
(*.f64 2 (atan.f64 1)) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x)))) |
(*.f64 2 (atan.f64 (-.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 x 1)))) |
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 (*.f64 x x) -1/2))))) |
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x)))) |
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) -1/2) 1)))))) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) -1/2) 1)))))) |
1 calls:
| 5.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.87% | 1 | x |
Compiled 85 to 65 computations (23.5% saved)
| Inputs |
|---|
(*.f64 2 (atan.f64 1)) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x)))) |
(*.f64 2 (atan.f64 (-.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 x 1)))) |
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 (*.f64 x x) -1/2))))) |
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x)))) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 (*.f64 x x) -1/2))))) |
1 calls:
| 40.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.88% | 1 | x |
Compiled 67 to 51 computations (23.9% saved)
| Inputs |
|---|
(*.f64 2 (atan.f64 1)) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x)))) |
(*.f64 2 (atan.f64 (-.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 x 1)))) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x)))) |
1 calls:
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.24% | 1 | x |
Compiled 37 to 29 computations (21.6% saved)
Total -0.9b remaining (-89.9%)
Threshold costs -0.9b (-89.9%)
| Inputs |
|---|
(*.f64 2 (atan.f64 1)) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (-.f64 1 x))) |
1 calls:
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.62% | 1 | x |
Compiled 13 to 11 computations (15.4% saved)
| 1× | egg-herbie |
| 22× | +-commutative |
| 22× | *-commutative |
| 10× | sub-neg |
| 2× | 1-exp |
| 2× | neg-mul-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 225 |
| 1 | 67 | 225 |
| 2 | 73 | 225 |
| 3 | 75 | 225 |
| 4 | 76 | 225 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(*.f64 2 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -1/2))) |
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) -1/2) 1)))))) |
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 (*.f64 x x) -1/2))))) |
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x)))) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 1)) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -1/2))) |
(*.f64 2 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/2))) |
(*.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))))) |
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) -1/2) 1)))))) |
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (+.f64 1 (+.f64 (*.f64 -1/2 (*.f64 x x)) -1)))))) |
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (+.f64 1 (+.f64 -1 (*.f64 -1/2 (*.f64 x x)))))))) |
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 (*.f64 x x) -1/2))))) |
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/2 (*.f64 x x)))))) |
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x)))) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 1)) |
Compiled 84 to 70 computations (16.7% saved)
| 2× | egg-herbie |
| 1552× | associate-*r/ |
| 1290× | associate-*l/ |
| 836× | associate-+r+ |
| 800× | +-commutative |
| 674× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 417 | 7007 |
| 1 | 1102 | 6459 |
| 2 | 4193 | 6249 |
| 0 | 631 | 11737 |
| 1 | 1673 | 11107 |
| 2 | 6420 | 11059 |
| 1× | node limit |
| 1× | node limit |
Compiled 52 to 44 computations (15.4% saved)
Compiled 78 to 63 computations (19.2% saved)
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