Time bar (total: 3.8s)
| 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)
| 1.7s | 8256× | body | 256 | valid |
| 1.0ms | 6× | 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 |
|---|---|---|
| ▶ | 100.0% | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
Compiled 12 to 10 computations (16.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 100.0% | (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| ✓ | 100.0% | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
Compiled 45 to 34 computations (24.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| 1.0ms | 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 | @ | -inf | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 1636× | associate-/r* |
| 1154× | associate-/l* |
| 978× | associate-/r/ |
| 904× | *-commutative |
| 538× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 42 |
| 1 | 193 | 42 |
| 2 | 2636 | 42 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| Outputs |
|---|
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cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (/.f64 1 (+.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 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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 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) |
| 1× | egg-herbie |
| 1560× | associate-*r/ |
| 1310× | associate-*l/ |
| 652× | associate-+l+ |
| 590× | +-commutative |
| 564× | associate-+r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 384 | 6184 |
| 1 | 1063 | 5692 |
| 2 | 3998 | 5486 |
| 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))))))) |
(+.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))) (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 1 x) (*.f64 x x)) (/.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 1 x) (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 (-.f64 1 x) (*.f64 x x))) |
(*.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 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 x x)))) (pow.f64 (-.f64 1 x) 2)) |
(*.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 1 x) (*.f64 x x)))) |
(*.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 1 x) (*.f64 x x)) (+.f64 (-.f64 1 x) (*.f64 x x)))) |
(*.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 1 x) (*.f64 x 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)))) (+.f64 (-.f64 1 x) (*.f64 x 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 1 x) (*.f64 x x)))) |
(*.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 (/.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 (+.f64 1 (*.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 (pow.f64 x 3)))) (sqrt.f64 (+.f64 (-.f64 1 x) (*.f64 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) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 (-.f64 1 x) (*.f64 x x)))) |
(*.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) (fma.f64 x x x)) (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (+.f64 (-.f64 1 x) (*.f64 x x)) (+.f64 (-.f64 1 x) (*.f64 x x)))) |
(*.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 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 1 x) (*.f64 x x))) |
(*.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 1 x) (*.f64 x x)))) |
(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 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(*.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 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2) (pow.f64 (pow.f64 (cbrt.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 1 x) (*.f64 x x)))) |
(/.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 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 (sqrt.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (sqrt.f64 (-.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 (*.f64 x x))) (+.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))))) |
| 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 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 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 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(+.f64 1 (-.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)))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (*.f64 x x))))) |
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x)))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (*.f64 x x)))))) |
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (+.f64 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x)) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))) |
(sqrt.f64 -1) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) |
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (*.f64 x x))))) |
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x)))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (*.f64 x x)))))) |
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (+.f64 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x)) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))) |
(+.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 (/.f64 x (+.f64 1 x)))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 1 (neg.f64 (/.f64 x (+.f64 1 x))))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (neg.f64 (/.f64 x (+.f64 1 x))) 1)) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x)))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(+.f64 (neg.f64 (/.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 1 x))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1) |
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(/.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)) (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 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (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))) |
Compiled 5494 to 4225 computations (23.1% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 255 | 3 | 258 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 255 | 4 | 259 |
| Status | Error | Program |
|---|---|---|
| ▶ | 99.6% | (*.f64 2 (atan.f64 (-.f64 1 x))) |
| ▶ | 99.7% | (*.f64 2 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) |
| ▶ | 99.8% | (*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x)))) |
| ✓ | 100.0% | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
Compiled 49 to 39 computations (20.4% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) |
Compiled 80 to 51 computations (36.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) |
| 1.0ms | x | @ | inf | (*.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))) |
| 1× | batch-egg-rewrite |
| 1998× | add-sqr-sqrt |
| 1968× | *-un-lft-identity |
| 1848× | add-cube-cbrt |
| 1826× | add-cbrt-cube |
| 192× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 25 |
| 1 | 199 | 21 |
| 2 | 2572 | 21 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) 1) (*.f64 (*.f64 -1/2 (pow.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.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 (*.f64 -1/8 (pow.f64 x 3)))) (+.f64 1/4 (-.f64 (*.f64 (*.f64 x x) 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 (*.f64 -1/8 (pow.f64 x 3))) (*.f64 x x)) (+.f64 1/4 (-.f64 (*.f64 (*.f64 x x) 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 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 2) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -1/2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1/2 (*.f64 -1/2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))))))) |
| 1× | egg-herbie |
| 922× | associate-+r+ |
| 922× | associate-+l+ |
| 660× | distribute-lft-out |
| 638× | fma-def |
| 622× | associate-/l/ |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 1160 |
| 1 | 287 | 944 |
| 2 | 1209 | 896 |
| 3 | 4099 | 886 |
| 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))) |
(+.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 (*.f64 x (*.f64 x 1/2)) 1) (*.f64 (*.f64 -1/2 (pow.f64 x 3)) 1)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))))) 1) |
(/.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 (*.f64 -1/8 (pow.f64 x 3)))) (+.f64 1/4 (-.f64 (*.f64 (*.f64 x x) 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 (*.f64 -1/8 (pow.f64 x 3))) (*.f64 x x)) (+.f64 1/4 (-.f64 (*.f64 (*.f64 x x) 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)))))) |
(pow.f64 (*.f64 x (*.f64 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 x (*.f64 x (fma.f64 x -1/2 1/2)))) 3) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 2) (pow.f64 x 4))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -1/2 1/2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))))) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))) 1)) |
(log1p.f64 (expm1.f64 (*.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))) |
| 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 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) |
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))) |
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) |
(*.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 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3))) |
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3))) |
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) |
(*.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 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3))) |
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3))) |
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) |
(+.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 3))) |
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 x (*.f64 x 1/2))) |
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) |
(+.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) 1) (*.f64 (*.f64 -1/2 (pow.f64 x 3)) 1)) |
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))))) 1) |
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))) (+.f64 1/2 (*.f64 1/2 x))) |
(/.f64 (*.f64 x x) (/.f64 (+.f64 1/2 (*.f64 1/2 x)) (-.f64 1/4 (*.f64 (*.f64 x x) 1/4)))) |
(*.f64 (/.f64 (*.f64 x x) (fma.f64 1/2 x 1/2)) (+.f64 1/4 (*.f64 (*.f64 x x) -1/4))) |
(*.f64 (fma.f64 x (*.f64 x -1/4) 1/4) (/.f64 x (/.f64 (fma.f64 1/2 x 1/2) x))) |
(*.f64 (*.f64 x x) (/.f64 (fma.f64 x (*.f64 x -1/4) 1/4) (fma.f64 1/2 x 1/2))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 1/8 (*.f64 -1/8 (pow.f64 x 3)))) (+.f64 1/4 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 -1/4 x)))) |
(/.f64 (*.f64 x x) (/.f64 (+.f64 1/4 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 1/4 x))) (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/8)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1/8) (+.f64 1/4 (*.f64 x (-.f64 (*.f64 x 1/4) -1/4)))) (*.f64 x x)) |
(*.f64 (fma.f64 (pow.f64 x 3) -1/8 1/8) (/.f64 x (/.f64 (fma.f64 x (fma.f64 x 1/4 1/4) 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 x x) (/.f64 (+.f64 1/2 (*.f64 1/2 x)) (-.f64 1/4 (*.f64 (*.f64 x x) 1/4)))) |
(*.f64 (/.f64 (*.f64 x x) (fma.f64 1/2 x 1/2)) (+.f64 1/4 (*.f64 (*.f64 x x) -1/4))) |
(*.f64 (fma.f64 x (*.f64 x -1/4) 1/4) (/.f64 x (/.f64 (fma.f64 1/2 x 1/2) x))) |
(*.f64 (*.f64 x x) (/.f64 (fma.f64 x (*.f64 x -1/4) 1/4) (fma.f64 1/2 x 1/2))) |
(/.f64 (*.f64 (+.f64 1/8 (*.f64 -1/8 (pow.f64 x 3))) (*.f64 x x)) (+.f64 1/4 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 -1/4 x)))) |
(/.f64 (*.f64 x x) (/.f64 (+.f64 1/4 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 1/4 x))) (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/8)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1/8) (+.f64 1/4 (*.f64 x (-.f64 (*.f64 x 1/4) -1/4)))) (*.f64 x x)) |
(*.f64 (fma.f64 (pow.f64 x 3) -1/8 1/8) (/.f64 x (/.f64 (fma.f64 x (fma.f64 x 1/4 1/4) 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)))) |
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) |
(/.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 (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) (pow.f64 (*.f64 x (*.f64 1/2 x)) 3)) (fma.f64 (*.f64 -1/2 (pow.f64 x 3)) (fma.f64 -1/2 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x))) (*.f64 1/4 (pow.f64 x 4)))) |
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (*.f64 -1/8 (pow.f64 (pow.f64 x 3/2) 6))) (fma.f64 1/4 (pow.f64 x 6) (fma.f64 x (*.f64 1/4 (pow.f64 x 4)) (*.f64 1/4 (pow.f64 x 4))))) |
(/.f64 (*.f64 (pow.f64 x 6) (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3))) (fma.f64 1/4 (pow.f64 x 6) (*.f64 (*.f64 1/4 (pow.f64 x 4)) (+.f64 x 1)))) |
(pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 1) |
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) |
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) |
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))) 3) |
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 3) 1/3) |
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) |
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 2) (pow.f64 x 4))) |
(fabs.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))) |
(fabs.f64 (*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -1/2 1/2))) |
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))))) |
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 3)) |
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))))) |
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))))) |
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))) 1)) |
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))))) |
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) |
(fma.f64 (*.f64 x x) 1/2 (*.f64 -1/2 (pow.f64 x 3))) |
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3))) |
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) |
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 100.0% | (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)) |
Compiled 47 to 33 computations (29.8% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 1000× | associate-*r/ |
| 904× | *-commutative |
| 642× | associate-*l/ |
| 604× | distribute-lft-in |
| 586× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 199 | 21 |
| 2 | 2629 | 21 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 x (*.f64 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (*.f64 x 1/2) 1) (-.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (-.f64 2 x))) (+.f64 1 (*.f64 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 x 1)) (-.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (fma.f64 x x x))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x x))) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1))) (/.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x 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| 1× | egg-herbie |
| 1628× | associate-*r/ |
| 1224× | associate-*l/ |
| 992× | associate-+l+ |
| 980× | associate-+r+ |
| 590× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 276 | 7232 |
| 1 | 814 | 6162 |
| 2 | 3874 | 6158 |
| 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))) |
(-.f64 1 (+.f64 x (*.f64 (*.f64 x x) -1/2))) |
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) |
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) (-.f64 1 (-.f64 1 x))) |
(-.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))) 1) |
(-.f64 (exp.f64 (log.f64 (-.f64 2 x))) (+.f64 1 (*.f64 (*.f64 x x) -1/2))) |
(-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) (*.f64 1/2 (*.f64 x x)))) |
(-.f64 (/.f64 1 (+.f64 1 (fma.f64 x x x))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x x))) (*.f64 1/2 (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1))) (/.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1)))) |
(-.f64 (+.f64 (*.f64 1/2 (*.f64 x x)) (exp.f64 (log.f64 (-.f64 2 x)))) 1) |
(-.f64 (+.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 1 (+.f64 x 1))) (/.f64 x (/.f64 (+.f64 x 1) x))) |
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(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))) |
(exp.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))) |
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 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 1 (-.f64 1 x) (*.f64 1/2 (*.f64 x x))) |
(fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 1/2 (*.f64 x 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 x)) 2) (cbrt.f64 (-.f64 1 x)) (*.f64 1/2 (*.f64 x 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)) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1 x)) |
(-.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 1/2) (-.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 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 1/2) (-.f64 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)) |
(fma.f64 1/2 (*.f64 x x) (neg.f64 x)) |
(-.f64 (*.f64 x (*.f64 x 1/2)) 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 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 1/2) (-.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 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 1/2) (-.f64 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)) |
(fma.f64 1/2 (*.f64 x x) (neg.f64 x)) |
(-.f64 (*.f64 x (*.f64 x 1/2)) 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 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 1/2) (-.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 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
(-.f64 1 (+.f64 x (*.f64 (*.f64 x x) -1/2))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) (-.f64 1 (-.f64 1 x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
(-.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))) 1) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
(-.f64 (exp.f64 (log.f64 (-.f64 2 x))) (+.f64 1 (*.f64 (*.f64 x x) -1/2))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
(-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) (*.f64 1/2 (*.f64 x x)))) |
(+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 x (+.f64 1 x)) x)) (*.f64 1/2 (*.f64 x x))) |
(-.f64 (/.f64 1 (+.f64 1 x)) (*.f64 x (-.f64 (/.f64 x (+.f64 1 x)) (*.f64 x 1/2)))) |
(-.f64 (/.f64 1 (+.f64 1 (fma.f64 x x x))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x x))) (*.f64 1/2 (*.f64 x x)))) |
(+.f64 (-.f64 (/.f64 1 (+.f64 1 (fma.f64 x x x))) (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x x)))) (*.f64 1/2 (*.f64 x x))) |
(-.f64 (fma.f64 1/2 (*.f64 x x) (/.f64 1 (+.f64 1 (fma.f64 x x x)))) (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x x)))) |
(-.f64 (/.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1))) (/.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1)))) |
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2)) (+.f64 x (fma.f64 1/2 (*.f64 x x) -1))) |
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 1 x) 2)) (+.f64 x (fma.f64 1/2 (*.f64 x x) -1))) |
(-.f64 (+.f64 (*.f64 1/2 (*.f64 x x)) (exp.f64 (log.f64 (-.f64 2 x)))) 1) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
(-.f64 (+.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 1 (+.f64 x 1))) (/.f64 x (/.f64 (+.f64 x 1) x))) |
(+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 x (+.f64 1 x)) x)) (*.f64 1/2 (*.f64 x x))) |
(-.f64 (/.f64 1 (+.f64 1 x)) (*.f64 x (-.f64 (/.f64 x (+.f64 1 x)) (*.f64 x 1/2)))) |
(-.f64 (+.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 1 (+.f64 1 (fma.f64 x x x)))) (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x x)))) |
(+.f64 (-.f64 (/.f64 1 (+.f64 1 (fma.f64 x x x))) (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x x)))) (*.f64 1/2 (*.f64 x x))) |
(-.f64 (fma.f64 1/2 (*.f64 x x) (/.f64 1 (+.f64 1 (fma.f64 x x x)))) (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x x)))) |
(-.f64 (+.f64 (-.f64 1 x) (fma.f64 x (*.f64 x 1/2) 1)) 1) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
(-.f64 (+.f64 (fma.f64 x (*.f64 x 1/2) 1) 0) x) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
(*.f64 1 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
(*.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 1) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
(*.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
(*.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 2)) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
(*.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1)))) |
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2)) (+.f64 x (fma.f64 1/2 (*.f64 x x) -1))) |
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 1 x) 2)) (+.f64 x (fma.f64 1/2 (*.f64 x x) -1))) |
(*.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 1 x) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)))))) |
(/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (-.f64 1 x) 3)) 1) (fma.f64 1/4 (*.f64 x (pow.f64 x 3)) (*.f64 (-.f64 1 x) (+.f64 (*.f64 (*.f64 x x) -1/2) (-.f64 1 x))))) |
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (-.f64 1 x) 3)) (fma.f64 (-.f64 1 x) (-.f64 (fma.f64 x (*.f64 x -1/2) 1) x) (*.f64 1/4 (pow.f64 x 4)))) |
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (-.f64 1 x) 3)) (fma.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 (-.f64 1 x)) (*.f64 1/4 (pow.f64 x 4)))) |
(*.f64 (/.f64 1 (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1))) (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2))) |
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2)) (+.f64 x (fma.f64 1/2 (*.f64 x x) -1))) |
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 1 x) 2)) (+.f64 x (fma.f64 1/2 (*.f64 x x) -1))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))))) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 1 x) 3))) |
(/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (-.f64 1 x) 3)) 1) (fma.f64 1/4 (*.f64 x (pow.f64 x 3)) (*.f64 (-.f64 1 x) (+.f64 (*.f64 (*.f64 x x) -1/2) (-.f64 1 x))))) |
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (-.f64 1 x) 3)) (fma.f64 (-.f64 1 x) (-.f64 (fma.f64 x (*.f64 x -1/2) 1) x) (*.f64 1/4 (pow.f64 x 4)))) |
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (-.f64 1 x) 3)) (fma.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 (-.f64 1 x)) (*.f64 1/4 (pow.f64 x 4)))) |
(*.f64 (/.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2)) (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2))) (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
(*.f64 (/.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2)) (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 1 x) 3))) (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))) |
(*.f64 (/.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2)) (-.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (-.f64 1 x) 3))) (fma.f64 1/4 (*.f64 x (pow.f64 x 3)) (*.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) (-.f64 1 x)))) |
(*.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 1 x) 2)) (fma.f64 1/8 (pow.f64 x 6) (neg.f64 (pow.f64 (-.f64 1 x) 3)))) (fma.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) (-.f64 1 x) (*.f64 1/4 (pow.f64 x 4)))) |
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 1 x) 2)) (/.f64 (fma.f64 1/8 (pow.f64 x 6) (neg.f64 (pow.f64 (-.f64 1 x) 3))) (fma.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (-.f64 1 x) (*.f64 1/4 (pow.f64 x 4))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 1 x) 3)) (-.f64 (*.f64 (*.f64 1/2 (*.f64 x x)) (pow.f64 (*.f64 1/2 (*.f64 x x)) 3)) (*.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)))))) (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))))) |
(*.f64 (/.f64 (+.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (-.f64 1 x) 3)) (-.f64 (*.f64 1/2 (*.f64 (*.f64 x x) (*.f64 1/8 (pow.f64 (*.f64 x x) 3)))) (*.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 (*.f64 (*.f64 x x) -1/2) (-.f64 1 x))) (+.f64 (*.f64 (*.f64 x x) -1/2) (-.f64 1 x))))) (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (*.f64 (*.f64 x x) -1/2) (-.f64 1 x))))) |
(*.f64 (/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (-.f64 1 x) 3)) (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 4) (*.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) 1) x) (*.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 (fma.f64 x (*.f64 x -1/2) 1) x))))) (-.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 (-.f64 1 x) (-.f64 (fma.f64 x (*.f64 x -1/2) 1) x)))) |
(*.f64 (/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (-.f64 1 x) 3)) (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 4) (*.f64 (fma.f64 (*.f64 x x) -1/2 (-.f64 1 x)) (*.f64 (pow.f64 (-.f64 1 x) 2) (fma.f64 (*.f64 x x) -1/2 (-.f64 1 x)))))) (fma.f64 1/4 (pow.f64 x 4) (*.f64 (fma.f64 (*.f64 x x) -1/2 (-.f64 1 x)) (+.f64 -1 x)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 1 x) 3)) (+.f64 (pow.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) 3) (pow.f64 (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))) 3))) (+.f64 (*.f64 (*.f64 1/2 (*.f64 x x)) (pow.f64 (*.f64 1/2 (*.f64 x x)) 3)) (*.f64 (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))) (-.f64 (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))) (*.f64 1/4 (*.f64 x (pow.f64 x 3))))))) |
(*.f64 (/.f64 (+.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (-.f64 1 x) 3)) (+.f64 (*.f64 1/64 (pow.f64 (*.f64 x (pow.f64 x 3)) 3)) (pow.f64 (*.f64 (-.f64 1 x) (+.f64 (*.f64 (*.f64 x x) -1/2) (-.f64 1 x))) 3))) (fma.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) (*.f64 (-.f64 1 x) (*.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) (-.f64 1 x)) (+.f64 (*.f64 (-.f64 1 x) (+.f64 (*.f64 (*.f64 x x) -1/2) (-.f64 1 x))) (*.f64 -1/4 (*.f64 x (pow.f64 x 3)))))))) |
(*.f64 (/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (-.f64 1 x) 3)) (fma.f64 1/64 (pow.f64 (*.f64 x x) 6) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 (fma.f64 x (*.f64 x -1/2) 1) x)) 3))) (fma.f64 (-.f64 1 x) (*.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) 1) x) (fma.f64 (-.f64 1 x) (-.f64 (fma.f64 x (*.f64 x -1/2) 1) x) (*.f64 (pow.f64 x 4) -1/4))) (pow.f64 (*.f64 x (*.f64 x 1/2)) 4))) |
(/.f64 (*.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (-.f64 1 x) 3)) (fma.f64 (-.f64 1 x) (*.f64 (fma.f64 (*.f64 x x) -1/2 (-.f64 1 x)) (fma.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 (-.f64 1 x)) (*.f64 (pow.f64 x 4) -1/4))) (pow.f64 (*.f64 x (*.f64 x 1/2)) 4))) (fma.f64 1/64 (pow.f64 (*.f64 x x) 6) (pow.f64 (*.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 (-.f64 1 x))) 3))) |
(/.f64 1 (/.f64 1 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
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(/.f64 (+.f64 (pow.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) 3) (pow.f64 (pow.f64 (-.f64 1 x) 3) 3)) (*.f64 (fma.f64 1/4 (*.f64 x (pow.f64 x 3)) (*.f64 (-.f64 1 x) (+.f64 (*.f64 (*.f64 x x) -1/2) (-.f64 1 x)))) (fma.f64 (pow.f64 (*.f64 x x) 6) 1/64 (*.f64 (pow.f64 (-.f64 1 x) 3) (-.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 1/8 (pow.f64 (*.f64 x x) 3))))))) |
(/.f64 (+.f64 (*.f64 1/512 (pow.f64 (pow.f64 x 6) 3)) (pow.f64 (pow.f64 (-.f64 1 x) 3) 3)) (*.f64 (fma.f64 (-.f64 1 x) (-.f64 (fma.f64 x (*.f64 x -1/2) 1) x) (*.f64 1/4 (pow.f64 x 4))) (fma.f64 (pow.f64 (-.f64 1 x) 3) (+.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 -1/8 (pow.f64 x 6))) (*.f64 (pow.f64 (*.f64 x x) 6) 1/64)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/8) 3) (pow.f64 (pow.f64 (-.f64 1 x) 3) 3)) (fma.f64 (pow.f64 (-.f64 1 x) 3) (+.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 -1/8 (pow.f64 x 6))) (*.f64 (pow.f64 (*.f64 x x) 6) 1/64))) (fma.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 (-.f64 1 x)) (*.f64 1/4 (pow.f64 x 4)))) |
(/.f64 (/.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2)) 1) (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1))) |
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2)) (+.f64 x (fma.f64 1/2 (*.f64 x x) -1))) |
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 1 x) 2)) (+.f64 x (fma.f64 1/2 (*.f64 x x) -1))) |
(/.f64 (/.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1)))) (sqrt.f64 (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1)))) |
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2)) (+.f64 x (fma.f64 1/2 (*.f64 x x) -1))) |
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 1 x) 2)) (+.f64 x (fma.f64 1/2 (*.f64 x x) -1))) |
(/.f64 (/.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2)) (*.f64 (cbrt.f64 (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1))) (cbrt.f64 (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1))))) (cbrt.f64 (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1)))) |
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2)) (+.f64 x (fma.f64 1/2 (*.f64 x x) -1))) |
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 1 x) 2)) (+.f64 x (fma.f64 1/2 (*.f64 x x) -1))) |
(/.f64 (/.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2)) (+.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 x (sqrt.f64 1/2)))) (-.f64 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 x)))) |
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2)) (*.f64 (-.f64 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 x (sqrt.f64 1/2))))) |
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 1 x) 2)) (*.f64 (fma.f64 x (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))) (fma.f64 x (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (-.f64 1 x)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 1 x) 2)) (fma.f64 x (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) (-.f64 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 x)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 1 x) 3)) 1) (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))))) |
(/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (-.f64 1 x) 3)) 1) (fma.f64 1/4 (*.f64 x (pow.f64 x 3)) (*.f64 (-.f64 1 x) (+.f64 (*.f64 (*.f64 x x) -1/2) (-.f64 1 x))))) |
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (-.f64 1 x) 3)) (fma.f64 (-.f64 1 x) (-.f64 (fma.f64 x (*.f64 x -1/2) 1) x) (*.f64 1/4 (pow.f64 x 4)))) |
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (-.f64 1 x) 3)) (fma.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 (-.f64 1 x)) (*.f64 1/4 (pow.f64 x 4)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 1 x) 3)) (sqrt.f64 (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)))))) (sqrt.f64 (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)))))) |
(/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (-.f64 1 x) 3)) 1) (fma.f64 1/4 (*.f64 x (pow.f64 x 3)) (*.f64 (-.f64 1 x) (+.f64 (*.f64 (*.f64 x x) -1/2) (-.f64 1 x))))) |
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (-.f64 1 x) 3)) (fma.f64 (-.f64 1 x) (-.f64 (fma.f64 x (*.f64 x -1/2) 1) x) (*.f64 1/4 (pow.f64 x 4)))) |
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (-.f64 1 x) 3)) (fma.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 (-.f64 1 x)) (*.f64 1/4 (pow.f64 x 4)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 1 x) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))))) (cbrt.f64 (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))))))) (cbrt.f64 (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)))))) |
(/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (-.f64 1 x) 3)) 1) (fma.f64 1/4 (*.f64 x (pow.f64 x 3)) (*.f64 (-.f64 1 x) (+.f64 (*.f64 (*.f64 x x) -1/2) (-.f64 1 x))))) |
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (-.f64 1 x) 3)) (fma.f64 (-.f64 1 x) (-.f64 (fma.f64 x (*.f64 x -1/2) 1) x) (*.f64 1/4 (pow.f64 x 4)))) |
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (-.f64 1 x) 3)) (fma.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 (-.f64 1 x)) (*.f64 1/4 (pow.f64 x 4)))) |
(pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 1) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 2) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 3) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
(pow.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 3) 1/3) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
(neg.f64 (/.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2)) (neg.f64 (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1))))) |
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2)) (+.f64 x (fma.f64 1/2 (*.f64 x x) -1))) |
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 1 x) 2)) (+.f64 x (fma.f64 1/2 (*.f64 x x) -1))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 1 x) 3)) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))))))) |
(/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (-.f64 1 x) 3)) 1) (fma.f64 1/4 (*.f64 x (pow.f64 x 3)) (*.f64 (-.f64 1 x) (+.f64 (*.f64 (*.f64 x x) -1/2) (-.f64 1 x))))) |
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (-.f64 1 x) 3)) (fma.f64 (-.f64 1 x) (-.f64 (fma.f64 x (*.f64 x -1/2) 1) x) (*.f64 1/4 (pow.f64 x 4)))) |
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (-.f64 1 x) 3)) (fma.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 (-.f64 1 x)) (*.f64 1/4 (pow.f64 x 4)))) |
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 2)) |
(fabs.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))) |
(fabs.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) |
(log.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 3)) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
(exp.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 (*.f64 x 1/2) x (-.f64 1 x)) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
(fma.f64 1 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x)) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
(fma.f64 1 (-.f64 1 x) (*.f64 1/2 (*.f64 x x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
(fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 1/2 (*.f64 x x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 1/2) (-.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 x)) 2) (cbrt.f64 (-.f64 1 x)) (*.f64 1/2 (*.f64 x x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 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 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
(fma.f64 (*.f64 x x) 1/2 (-.f64 1 x)) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 100.0% | (atan.f64 (-.f64 1 x)) |
Compiled 17 to 13 computations (23.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (atan.f64 (-.f64 1 x)) |
| 0.0ms | x | @ | 0 | (atan.f64 (-.f64 1 x)) |
| 0.0ms | x | @ | inf | (atan.f64 (-.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 1384× | add-sqr-sqrt |
| 1368× | *-un-lft-identity |
| 1270× | add-cube-cbrt |
| 1258× | add-cbrt-cube |
| 1248× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 140 | 11 |
| 2 | 1674 | 11 |
| 1× | node limit |
| Inputs |
|---|
(atan.f64 (-.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x)))))))) |
| 1× | egg-herbie |
| 1136× | associate-/r* |
| 924× | *-commutative |
| 688× | associate-*r/ |
| 634× | associate-*r* |
| 496× | log-prod |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 220 |
| 1 | 77 | 220 |
| 2 | 372 | 220 |
| 3 | 1698 | 220 |
| 4 | 3972 | 220 |
| 5 | 5891 | 220 |
| 1× | node limit |
| Inputs |
|---|
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1) |
(*.f64 1 (atan.f64 (-.f64 1 x))) |
(*.f64 (atan.f64 (-.f64 1 x)) 1) |
(*.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x)))) |
(*.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x)))) |
(pow.f64 (atan.f64 (-.f64 1 x)) 1) |
(pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 2) |
(pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 3) |
(pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) |
(log.f64 (exp.f64 (atan.f64 (-.f64 1 x)))) |
(cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) |
(expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x)))) |
(exp.f64 (log.f64 (atan.f64 (-.f64 1 x)))) |
(log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x)))) |
| Outputs |
|---|
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (-.f64 1 x)) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (-.f64 1 x)) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (-.f64 1 x)) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (-.f64 1 x)) |
(-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1) |
(atan.f64 (-.f64 1 x)) |
(*.f64 1 (atan.f64 (-.f64 1 x))) |
(atan.f64 (-.f64 1 x)) |
(*.f64 (atan.f64 (-.f64 1 x)) 1) |
(atan.f64 (-.f64 1 x)) |
(*.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x)))) |
(atan.f64 (-.f64 1 x)) |
(*.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2)) |
(atan.f64 (-.f64 1 x)) |
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x)))) |
(atan.f64 (-.f64 1 x)) |
(pow.f64 (atan.f64 (-.f64 1 x)) 1) |
(atan.f64 (-.f64 1 x)) |
(pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 2) |
(atan.f64 (-.f64 1 x)) |
(pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 3) |
(atan.f64 (-.f64 1 x)) |
(pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1/3) |
(atan.f64 (-.f64 1 x)) |
(sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) |
(atan.f64 (-.f64 1 x)) |
(log.f64 (exp.f64 (atan.f64 (-.f64 1 x)))) |
(atan.f64 (-.f64 1 x)) |
(cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) |
(atan.f64 (-.f64 1 x)) |
(expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x)))) |
(atan.f64 (-.f64 1 x)) |
(exp.f64 (log.f64 (atan.f64 (-.f64 1 x)))) |
(atan.f64 (-.f64 1 x)) |
(log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x)))) |
(atan.f64 (-.f64 1 x)) |
Compiled 7145 to 5276 computations (26.2% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 228 | 1 | 229 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 228 | 5 | 233 |
| Status | Error | Program |
|---|---|---|
| ✓ | 99.6% | (*.f64 2 (atan.f64 (-.f64 1 x))) |
| ✓ | 99.7% | (*.f64 2 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) |
| ✓ | 99.8% | (*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x)))) |
| ✓ | 100.0% | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| ▶ | 98.8% | (*.f64 2 (atan.f64 1)) |
Compiled 54 to 44 computations (18.5% saved)
Compiled 9 to 9 computations (0% saved)
Compiled 1 to 1 computations (0% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 0 | 5 | 5 |
| Status | Error | Program |
|---|---|---|
| ✓ | 99.6% | (*.f64 2 (atan.f64 (-.f64 1 x))) |
| ✓ | 99.7% | (*.f64 2 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) |
| ✓ | 99.8% | (*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x)))) |
| ✓ | 100.0% | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| ✓ | 98.8% | (*.f64 2 (atan.f64 1)) |
Compiled 54 to 44 computations (18.5% saved)
| Inputs |
|---|
(*.f64 2 (atan.f64 1)) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) |
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x)))) |
(*.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:
| 9.0ms | x |
| 4.0ms | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| 4.0ms | (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
| 4.0ms | (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| 4.0ms | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
| Error | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| 100.0% | 1 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
| 100.0% | 1 | (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| 100.0% | 1 | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
Compiled 91 to 72 computations (20.9% saved)
| Inputs |
|---|
(*.f64 2 (atan.f64 1)) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) |
(*.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 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x)))) |
1 calls:
| 7.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
Compiled 41 to 32 computations (22% saved)
| Inputs |
|---|
(*.f64 2 (atan.f64 1)) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) |
1 calls:
| 7.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
Compiled 25 to 20 computations (20% saved)
Total -0.5b remaining (-181.3%)
Threshold costs -0.50b (-181.3%)
| Inputs |
|---|
(*.f64 2 (atan.f64 1)) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (-.f64 1 x))) |
1 calls:
| 6.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
Compiled 13 to 11 computations (15.4% saved)
| 1× | egg-herbie |
| 20× | *-commutative |
| 14× | +-commutative |
| 6× | sub-neg |
| 2× | 1-exp |
| 2× | neg-mul-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 143 |
| 1 | 49 | 143 |
| 2 | 54 | 143 |
| 3 | 56 | 143 |
| 4 | 57 | 143 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(*.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 x (*.f64 x 1/2)) (-.f64 1 x)))) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 1)) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(*.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 x (*.f64 x 1/2)) (-.f64 1 x)))) |
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 1)) |
Compiled 54 to 44 computations (18.5% saved)
Compiled 50 to 40 computations (20% saved)
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