Time bar (total: 3.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 4 to 3 computations (25% saved)
| 626.0ms | 8256× | body | 256 | valid |
| 2× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 5 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(asinh.f64 x) |
| Outputs |
|---|
(asinh.f64 x) |
Compiled 14 to 10 computations (28.6% saved)
| 1× | egg-herbie |
| 4× | +-commutative |
| 2× | 1-exp |
| 2× | hypot-1-def |
| 2× | fma-def |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 33 |
| 1 | 18 | 27 |
| 2 | 19 | 27 |
| 1× | saturated |
| Inputs |
|---|
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) |
| Outputs |
|---|
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x 1)))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x) |
Compiled 33 to 20 computations (39.4% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 2 | 3 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 3 | 4 |
| Status | Error | Program |
|---|---|---|
| ▶ | 29.3b | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x) |
| ▶ | 46.6b | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) |
Compiled 23 to 16 computations (30.4% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))) |
| ✓ | 2.5b | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) |
| ✓ | 16.0b | (sqrt.f64 (+.f64 (*.f64 x x) 1)) |
Compiled 50 to 24 computations (52% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) |
| 0.0ms | x | @ | inf | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) |
| 0.0ms | x | @ | -inf | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) |
| 0.0ms | x | @ | inf | (sqrt.f64 (+.f64 (*.f64 x x) 1)) |
| 0.0ms | x | @ | 0 | (sqrt.f64 (+.f64 (*.f64 x x) 1)) |
| 1× | batch-egg-rewrite |
| 876× | *-commutative |
| 760× | associate-*r/ |
| 610× | associate-*l/ |
| 580× | distribute-lft-in |
| 572× | distribute-rgt-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 63 |
| 1 | 229 | 37 |
| 2 | 3083 | 37 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (+.f64 (*.f64 x x) 1)) |
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) |
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 x) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (+.f64 1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (+.f64 (pow.f64 x 4) -1))) (cbrt.f64 (fma.f64 x x -1)))))) (#(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 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 6))) 1) (sqrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) 1) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 6))) (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 1 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 1 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 1 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x)))) (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2))) (log.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x)))) (*.f64 1 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x))) 1) (*.f64 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1)) (log.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 1 x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (hypot.f64 1 x) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (exp.f64 (log1p.f64 (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (hypot.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x)) (sqrt.f64 (+.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (+.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1) (/.f64 1 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))) (-.f64 (*.f64 (*.f64 x x) 0) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1) (-.f64 (*.f64 (*.f64 x x) 0) 1)) (+.f64 (hypot.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1) (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (+.f64 (*.f64 x x) (+.f64 1 (*.f64 x (+.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (-.f64 (pow.f64 x 4) (*.f64 (fma.f64 x x 1) (*.f64 (-.f64 (hypot.f64 1 x) x) (-.f64 (hypot.f64 1 x) x))))) (-.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))) 3))) (+.f64 (pow.f64 x 4) (*.f64 (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))) (-.f64 (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (hypot.f64 1 x) x) (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(/.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1) (neg.f64 (-.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (neg.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (hypot.f64 1 x)))))) |
| 1× | egg-herbie |
| 1676× | associate-/r* |
| 1048× | associate-*r/ |
| 960× | +-commutative |
| 800× | associate-*l/ |
| 788× | associate-+l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 464 | 6546 |
| 1 | 1241 | 6196 |
| 2 | 4618 | 6184 |
| 1× | node limit |
| Inputs |
|---|
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))))) |
x |
(+.f64 (*.f64 1/2 (/.f64 1 x)) x) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(*.f64 -1 x) |
(-.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) |
(log.f64 (+.f64 1 (fabs.f64 x))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))) |
(+.f64 (*.f64 -1/24 (*.f64 (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))) |
(+.f64 (*.f64 -1/24 (*.f64 (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (*.f64 1/720 (*.f64 (+.f64 (*.f64 45 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (+.f64 (*.f64 30 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))) (*.f64 45 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))) (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))))) |
(*.f64 -1 (log.f64 (/.f64 1 x))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x)) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))) |
(+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -3 (fabs.f64 x)) (*.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x)))) |
(*.f64 -1 (log.f64 (/.f64 -1 x))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 -1 (/.f64 (fabs.f64 x) x))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 -1 (/.f64 (fabs.f64 x) x)))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -1 (/.f64 (fabs.f64 x) x)) (*.f64 -1/6 (/.f64 (+.f64 (*.f64 2 (pow.f64 (fabs.f64 x) 3)) (*.f64 -3 (fabs.f64 x))) (pow.f64 x 3)))))) |
(+.f64 1 (fabs.f64 x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (fabs.f64 x))) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x)))) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x))))) |
x |
(+.f64 (fabs.f64 x) x) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(*.f64 -1 x) |
(+.f64 (fabs.f64 x) (*.f64 -1 x)) |
(-.f64 (+.f64 (fabs.f64 x) (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (fabs.f64 x) (*.f64 -1 x))) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 x))) 1) |
(*.f64 1 (hypot.f64 1 x)) |
(*.f64 (hypot.f64 1 x) 1) |
(*.f64 (hypot.f64 1 x) (pow.f64 1 1/2)) |
(*.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x))) |
(*.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1))) |
(*.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x))) |
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1)))) |
(*.f64 (pow.f64 1 1/2) (hypot.f64 1 x)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 1/2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) 1/2)) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x -1))) |
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x))))) |
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (fma.f64 x x -1))) |
(/.f64 (*.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (+.f64 1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x))))) |
(/.f64 (*.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (+.f64 (pow.f64 x 4) -1))) (cbrt.f64 (fma.f64 x x -1))) |
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x))))) |
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (fma.f64 x x -1))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 6))) 1) (sqrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) 1) (sqrt.f64 (fma.f64 x x -1))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 6))) (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (fma.f64 x x -1))) |
(pow.f64 (fma.f64 x x 1) 1/2) |
(pow.f64 (hypot.f64 1 x) 1) |
(pow.f64 (sqrt.f64 (hypot.f64 1 x)) 2) |
(pow.f64 (cbrt.f64 (hypot.f64 1 x)) 3) |
(pow.f64 (pow.f64 (hypot.f64 1 x) 3) 1/3) |
(fabs.f64 (hypot.f64 1 x)) |
(log.f64 (exp.f64 (hypot.f64 1 x))) |
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x)))) |
(cbrt.f64 (pow.f64 (hypot.f64 1 x) 3)) |
(expm1.f64 (log1p.f64 (hypot.f64 1 x))) |
(hypot.f64 1 x) |
(exp.f64 (log.f64 (hypot.f64 1 x))) |
(log1p.f64 (expm1.f64 (hypot.f64 1 x))) |
(+.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)) 0) |
(+.f64 0 (log.f64 (+.f64 (hypot.f64 1 x) x))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)))) |
(+.f64 (log.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2))) |
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x)))) (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x)))) |
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2))) (log.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)))) |
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x)))) (*.f64 1 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x))))) |
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x))))) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x))) 1) (*.f64 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x))) 1)) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x))) 1)) |
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))) |
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1)) (log.f64 (-.f64 x (hypot.f64 1 x)))) |
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)))) 1) |
(-.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))) |
(-.f64 (+.f64 0 (log.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1))) (log.f64 (-.f64 x (hypot.f64 1 x)))) |
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))))) 1) |
(*.f64 1 (log.f64 (+.f64 (hypot.f64 1 x) x))) |
(*.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)) 1) |
(*.f64 (sqrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)))) |
(*.f64 (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)))) |
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x)))) |
(pow.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)) 1) |
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) 2) |
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) 3) |
(pow.f64 (pow.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)) 2)) |
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)) 3)) |
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)))) |
(exp.f64 (log.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)))) |
(log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) x))) 1) |
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 x))) (-.f64 1 x)) |
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (hypot.f64 1 x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x)))) |
(-.f64 (+.f64 (hypot.f64 1 x) (exp.f64 (log1p.f64 x))) 1) |
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (hypot.f64 1 x)))) 1) |
(*.f64 1 (+.f64 (hypot.f64 1 x) x)) |
(*.f64 (+.f64 (hypot.f64 1 x) x) 1) |
(*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x)) (sqrt.f64 (+.f64 (hypot.f64 1 x) x))) |
(*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (+.f64 (hypot.f64 1 x) x))) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1) (/.f64 1 (-.f64 x (hypot.f64 1 x)))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))) |
(*.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))) (-.f64 (*.f64 (*.f64 x x) 0) 1)) |
(*.f64 (/.f64 1 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1) (-.f64 (*.f64 (*.f64 x x) 0) 1)) (+.f64 (hypot.f64 1 x) x)) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1) (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (+.f64 (*.f64 x x) (+.f64 1 (*.f64 x (+.f64 (hypot.f64 1 x) x))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (-.f64 (pow.f64 x 4) (*.f64 (fma.f64 x x 1) (*.f64 (-.f64 (hypot.f64 1 x) x) (-.f64 (hypot.f64 1 x) x))))) (-.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (hypot.f64 1 x))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))) 3))) (+.f64 (pow.f64 x 4) (*.f64 (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))) (-.f64 (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))) (*.f64 x x))))) |
(/.f64 1 (/.f64 1 (+.f64 (hypot.f64 1 x) x))) |
(/.f64 (+.f64 (hypot.f64 1 x) x) (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 x (hypot.f64 1 x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1) (-.f64 x (hypot.f64 1 x))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))) |
(/.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))) (/.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))) (+.f64 (hypot.f64 1 x) x))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (/.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1)) (/.f64 (-.f64 x (hypot.f64 1 x)) (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (/.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1)) (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1))) (/.f64 (-.f64 x (hypot.f64 1 x)) (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1)))) |
(/.f64 (+.f64 1 (*.f64 (*.f64 x x) 0)) (-.f64 (hypot.f64 1 x) x)) |
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x x 1) 2)) (*.f64 (-.f64 x (hypot.f64 1 x)) (+.f64 (*.f64 x x) (fma.f64 x x 1)))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3)) (*.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (hypot.f64 1 x) 3) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x 1) 3)) (*.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x 1) 3)) (*.f64 (-.f64 x (hypot.f64 1 x)) (+.f64 (pow.f64 x 4) (*.f64 (fma.f64 x x 1) (+.f64 (*.f64 x x) (fma.f64 x x 1)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1)) (neg.f64 (-.f64 x (hypot.f64 1 x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x)) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (sqrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1))) (sqrt.f64 (-.f64 x (hypot.f64 1 x)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (cbrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1))) (cbrt.f64 (-.f64 x (hypot.f64 1 x)))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 (*.f64 x x) 0)) 1) (-.f64 (hypot.f64 1 x) x)) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1)) 1) (neg.f64 (-.f64 x (hypot.f64 1 x)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 1) (neg.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (sqrt.f64 (+.f64 (hypot.f64 1 x) x))) (sqrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1)) (sqrt.f64 (+.f64 (hypot.f64 1 x) x))) (sqrt.f64 (-.f64 x (hypot.f64 1 x)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2)) (cbrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1)) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2)) (cbrt.f64 (-.f64 x (hypot.f64 1 x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x x 1) 2)) (/.f64 1 (-.f64 x (hypot.f64 1 x)))) (+.f64 (*.f64 x x) (fma.f64 x x 1))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x 1) 3)) (/.f64 1 (-.f64 x (hypot.f64 1 x)))) (+.f64 (pow.f64 x 4) (*.f64 (fma.f64 x x 1) (+.f64 (*.f64 x x) (fma.f64 x x 1))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3)) (/.f64 1 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (hypot.f64 1 x) 3) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x 1) 3)) (/.f64 1 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))) (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1) 1) (-.f64 x (hypot.f64 1 x))) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1) (sqrt.f64 (-.f64 x (hypot.f64 1 x)))) (sqrt.f64 (-.f64 x (hypot.f64 1 x)))) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1) (*.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))) (cbrt.f64 (-.f64 x (hypot.f64 1 x)))) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1) (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 1) (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (sqrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (*.f64 (cbrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))) (cbrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))) (cbrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))) |
(pow.f64 (+.f64 (hypot.f64 1 x) x) 1) |
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x)) 2) |
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 3) |
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 x) x) 3) 1/3) |
(pow.f64 (E.f64) (log.f64 (+.f64 (hypot.f64 1 x) x))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) 2)) (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)))) |
(neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1) (neg.f64 (-.f64 x (hypot.f64 1 x))))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (neg.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))) |
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) x) 2)) |
(log.f64 (exp.f64 (+.f64 (hypot.f64 1 x) x))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 x) x)))) |
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) x) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) x))) |
(exp.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) |
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 x) x))) |
(fma.f64 1 (hypot.f64 1 x) x) |
(fma.f64 1 x (hypot.f64 1 x)) |
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x)) |
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (hypot.f64 1 x)) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 1/2 (*.f64 x x))) |
(fma.f64 1/2 (*.f64 x x) 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 1/2 (*.f64 x x) 1) (*.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 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 6))))) |
(+.f64 (fma.f64 1/2 (*.f64 x x) 1) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 6)))) |
x |
(+.f64 (*.f64 1/2 (/.f64 1 x)) x) |
(+.f64 x (/.f64 1/2 x)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1/2 x) (-.f64 x (/.f64 1/8 (pow.f64 x 3)))) |
(+.f64 x (+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 x (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3)))) |
(+.f64 (/.f64 1/2 x) (+.f64 x (-.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/8 (pow.f64 x 3))))) |
(+.f64 x (+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))) |
(*.f64 -1 x) |
(neg.f64 x) |
(-.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (neg.f64 x) (/.f64 1/2 x)) |
(fma.f64 x -1 (/.f64 -1/2 x)) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (neg.f64 x) (/.f64 1/2 x))) |
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) x) (/.f64 -1/2 x)) |
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 x (/.f64 -1/2 x))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (neg.f64 x) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))) |
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) x) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5)))) |
(log.f64 (+.f64 1 (fabs.f64 x))) |
(log1p.f64 (fabs.f64 x)) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))) |
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) |
(fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 (fabs.f64 x)) x)) (log1p.f64 (fabs.f64 x))) |
(+.f64 (*.f64 -1/24 (*.f64 (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))) |
(fma.f64 -1/24 (*.f64 (pow.f64 x 4) (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))) |
(fma.f64 -1/24 (*.f64 (pow.f64 x 4) (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 (fabs.f64 x)) x)) (log1p.f64 (fabs.f64 x)))) |
(fma.f64 (+.f64 (/.f64 -1/8 (+.f64 1 (fabs.f64 x))) (/.f64 -1/8 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (pow.f64 x 4) (fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 (fabs.f64 x)) x)) (log1p.f64 (fabs.f64 x)))) |
(+.f64 (*.f64 -1/24 (*.f64 (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (*.f64 1/720 (*.f64 (+.f64 (*.f64 45 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (+.f64 (*.f64 30 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))) (*.f64 45 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))) (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))))) |
(fma.f64 -1/24 (*.f64 (pow.f64 x 4) (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (fma.f64 1/720 (*.f64 (pow.f64 x 6) (+.f64 (/.f64 45 (+.f64 1 (fabs.f64 x))) (+.f64 (/.f64 30 (pow.f64 (+.f64 1 (fabs.f64 x)) 3)) (/.f64 45 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))))) |
(fma.f64 -1/24 (*.f64 (pow.f64 x 4) (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (fma.f64 1/720 (*.f64 (pow.f64 x 6) (+.f64 (/.f64 45 (+.f64 1 (fabs.f64 x))) (+.f64 (/.f64 30 (pow.f64 (+.f64 1 (fabs.f64 x)) 3)) (/.f64 45 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))) (fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 (fabs.f64 x)) x)) (log1p.f64 (fabs.f64 x))))) |
(fma.f64 (+.f64 (/.f64 -1/8 (+.f64 1 (fabs.f64 x))) (/.f64 -1/8 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (pow.f64 x 4) (fma.f64 (+.f64 (/.f64 1/16 (+.f64 1 (fabs.f64 x))) (*.f64 1/720 (+.f64 (/.f64 30 (pow.f64 (+.f64 1 (fabs.f64 x)) 3)) (/.f64 45 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))) (pow.f64 x 6) (fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 (fabs.f64 x)) x)) (log1p.f64 (fabs.f64 x))))) |
(*.f64 -1 (log.f64 (/.f64 1 x))) |
(neg.f64 (neg.f64 (log.f64 x))) |
(log.f64 x) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x)) |
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 (fabs.f64 x) x)) |
(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))) |
(fma.f64 1/2 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (*.f64 x x)) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 (fabs.f64 x) x))) |
(+.f64 (/.f64 (fabs.f64 x) x) (fma.f64 1/2 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 x x)) (log.f64 x))) |
(+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -3 (fabs.f64 x)) (*.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x)))) |
(fma.f64 1/6 (/.f64 (fma.f64 2 (pow.f64 (fabs.f64 x) 3) (*.f64 (fabs.f64 x) -3)) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (*.f64 x x)) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 (fabs.f64 x) x)))) |
(fma.f64 1/6 (/.f64 (fma.f64 2 (pow.f64 (fabs.f64 x) 3) (*.f64 (fabs.f64 x) -3)) (pow.f64 x 3)) (+.f64 (/.f64 (fabs.f64 x) x) (fma.f64 1/2 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 x x)) (log.f64 x)))) |
(*.f64 -1 (log.f64 (/.f64 -1 x))) |
(neg.f64 (log.f64 (/.f64 -1 x))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 -1 (/.f64 (fabs.f64 x) x))) |
(*.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (fabs.f64 x) x))) |
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x)) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 -1 (/.f64 (fabs.f64 x) x)))) |
(fma.f64 1/2 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (*.f64 x x)) (*.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (fabs.f64 x) x)))) |
(fma.f64 1/2 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x))) |
(-.f64 (*.f64 1/2 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 x x))) (+.f64 (/.f64 (fabs.f64 x) x) (log.f64 (/.f64 -1 x)))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -1 (/.f64 (fabs.f64 x) x)) (*.f64 -1/6 (/.f64 (+.f64 (*.f64 2 (pow.f64 (fabs.f64 x) 3)) (*.f64 -3 (fabs.f64 x))) (pow.f64 x 3)))))) |
(fma.f64 1/2 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (*.f64 x x)) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (fma.f64 -1 (/.f64 (fabs.f64 x) x) (*.f64 -1/6 (/.f64 (fma.f64 2 (pow.f64 (fabs.f64 x) 3) (*.f64 (fabs.f64 x) -3)) (pow.f64 x 3)))))) |
(fma.f64 1/2 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (-.f64 (*.f64 -1/6 (/.f64 (fma.f64 2 (pow.f64 (fabs.f64 x) 3) (*.f64 (fabs.f64 x) -3)) (pow.f64 x 3))) (/.f64 (fabs.f64 x) x)) (log.f64 (/.f64 -1 x)))) |
(fma.f64 1/2 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 -1/6 (/.f64 (fma.f64 2 (pow.f64 (fabs.f64 x) 3) (*.f64 (fabs.f64 x) -3)) (pow.f64 x 3))) (+.f64 (/.f64 (fabs.f64 x) x) (log.f64 (/.f64 -1 x))))) |
(+.f64 1 (fabs.f64 x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (fabs.f64 x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fabs.f64 x))) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x)))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (fabs.f64 x)))) |
(+.f64 (fma.f64 1/2 (*.f64 x x) 1) (fma.f64 -1/8 (pow.f64 x 4) (fabs.f64 x))) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x))))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 6) (fma.f64 -1/8 (pow.f64 x 4) (fabs.f64 x))))) |
(+.f64 (fma.f64 1/2 (*.f64 x x) 1) (fma.f64 1/16 (pow.f64 x 6) (fma.f64 -1/8 (pow.f64 x 4) (fabs.f64 x)))) |
x |
(+.f64 (fabs.f64 x) x) |
(+.f64 x (fabs.f64 x)) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x)) |
(+.f64 (/.f64 1/2 x) (+.f64 x (fabs.f64 x))) |
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 1/8 (pow.f64 x 3)))) |
(+.f64 (/.f64 1/2 x) (+.f64 (+.f64 x (fabs.f64 x)) (/.f64 -1/8 (pow.f64 x 3)))) |
(+.f64 x (+.f64 (fabs.f64 x) (-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (fabs.f64 x) (*.f64 -1 x)) |
(+.f64 (neg.f64 x) (fabs.f64 x)) |
(-.f64 (fabs.f64 x) x) |
(-.f64 (+.f64 (fabs.f64 x) (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (+.f64 (neg.f64 x) (fabs.f64 x)) (/.f64 1/2 x)) |
(+.f64 (-.f64 (fabs.f64 x) x) (/.f64 -1/2 x)) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (fabs.f64 x) (*.f64 -1 x))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (+.f64 (neg.f64 x) (fabs.f64 x)) (/.f64 1/2 x))) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 -1/2 x))) |
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 x))) 1) |
(hypot.f64 1 x) |
(*.f64 1 (hypot.f64 1 x)) |
(hypot.f64 1 x) |
(*.f64 (hypot.f64 1 x) 1) |
(hypot.f64 1 x) |
(*.f64 (hypot.f64 1 x) (pow.f64 1 1/2)) |
(hypot.f64 1 x) |
(*.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x))) |
(hypot.f64 1 x) |
(*.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1))) |
(*.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x))) |
(*.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1))) |
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1)))) |
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 x x 1))) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1)))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1)))) |
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 x x 1))) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1)))) |
(*.f64 (pow.f64 1 1/2) (hypot.f64 1 x)) |
(hypot.f64 1 x) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 1/2)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1)))) |
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 x x 1))) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1)))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) 1/2)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1)))) |
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 x x 1))) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1)))) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x))))) |
(/.f64 (hypot.f64 1 (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x))))) |
(/.f64 (hypot.f64 1 (pow.f64 x 3)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 x 4) (*.f64 x x))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x -1))) |
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x))))) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x))))) |
(/.f64 (hypot.f64 1 (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x))))) |
(/.f64 (hypot.f64 1 (pow.f64 x 3)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 x 4) (*.f64 x x))))) |
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (fma.f64 x x -1))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x -1))) |
(/.f64 (*.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (+.f64 1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x))))) |
(/.f64 (cbrt.f64 (hypot.f64 1 x)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))) (cbrt.f64 (+.f64 1 (pow.f64 x 6))))) |
(*.f64 (/.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x))))) (cbrt.f64 (+.f64 1 (pow.f64 x 6)))) |
(*.f64 (/.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 x 4) (*.f64 x x))))) (cbrt.f64 (+.f64 1 (pow.f64 x 6)))) |
(/.f64 (*.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (+.f64 (pow.f64 x 4) -1))) (cbrt.f64 (fma.f64 x x -1))) |
(/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (hypot.f64 1 x)))) |
(*.f64 (/.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 (pow.f64 x 4) -1))) |
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x))))) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x))))) |
(/.f64 (hypot.f64 1 (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x))))) |
(/.f64 (hypot.f64 1 (pow.f64 x 3)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 x 4) (*.f64 x x))))) |
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (fma.f64 x x -1))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x -1))) |
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(log.f64 (+.f64 x (hypot.f64 1 x))) |
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(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 x) x) 3) 1/3) |
(+.f64 x (hypot.f64 1 x)) |
(pow.f64 (E.f64) (log.f64 (+.f64 (hypot.f64 1 x) x))) |
(+.f64 x (hypot.f64 1 x)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) 2)) (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)))) |
(+.f64 x (hypot.f64 1 x)) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)))) |
(+.f64 x (hypot.f64 1 x)) |
(neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1) (neg.f64 (-.f64 x (hypot.f64 1 x))))) |
(/.f64 -1 (-.f64 x (hypot.f64 1 x))) |
(/.f64 1 (-.f64 (hypot.f64 1 x) x)) |
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (neg.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 1) (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) |
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) x) 2)) |
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) |
(fabs.f64 (+.f64 x (hypot.f64 1 x))) |
(log.f64 (exp.f64 (+.f64 (hypot.f64 1 x) x))) |
(+.f64 x (hypot.f64 1 x)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 x) x)))) |
(+.f64 x (hypot.f64 1 x)) |
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) x) 3)) |
(+.f64 x (hypot.f64 1 x)) |
(expm1.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) x))) |
(+.f64 x (hypot.f64 1 x)) |
(exp.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) |
(+.f64 x (hypot.f64 1 x)) |
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 x) x))) |
(+.f64 x (hypot.f64 1 x)) |
(fma.f64 1 (hypot.f64 1 x) x) |
(+.f64 x (hypot.f64 1 x)) |
(fma.f64 1 x (hypot.f64 1 x)) |
(+.f64 x (hypot.f64 1 x)) |
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x) |
(+.f64 x (hypot.f64 1 x)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x)) |
(+.f64 x (hypot.f64 1 x)) |
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x) |
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (hypot.f64 1 x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (fabs.f64 x) (hypot.f64 1 x)) |
| ✓ | 2.5b | (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) |
Compiled 30 to 17 computations (43.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) |
| 0.0ms | x | @ | inf | (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) |
| 0.0ms | x | @ | -inf | (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) |
| 0.0ms | x | @ | -inf | (+.f64 (fabs.f64 x) (hypot.f64 1 x)) |
| 0.0ms | x | @ | inf | (+.f64 (fabs.f64 x) (hypot.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 1658× | add-sqr-sqrt |
| 1644× | *-un-lft-identity |
| 1528× | add-cube-cbrt |
| 1512× | add-cbrt-cube |
| 180× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 38 |
| 1 | 179 | 30 |
| 2 | 2257 | 30 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) |
(+.f64 (fabs.f64 x) (hypot.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x))))) |
| 1× | egg-herbie |
| 1328× | fma-def |
| 958× | unswap-sqr |
| 774× | distribute-lft-in |
| 732× | distribute-rgt-in |
| 570× | associate-/r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 227 | 2492 |
| 1 | 597 | 2214 |
| 2 | 2199 | 1982 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 1 (fabs.f64 x))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))) |
(+.f64 (*.f64 -1/24 (*.f64 (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))) |
(+.f64 (*.f64 -1/24 (*.f64 (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (*.f64 1/720 (*.f64 (+.f64 (*.f64 45 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (+.f64 (*.f64 30 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))) (*.f64 45 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))) (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))))) |
(*.f64 -1 (log.f64 (/.f64 1 x))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x)) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))) |
(+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -3 (fabs.f64 x)) (*.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x)))) |
(*.f64 -1 (log.f64 (/.f64 -1 x))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 -1 (/.f64 (fabs.f64 x) x))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 -1 (/.f64 (fabs.f64 x) x)))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -1 (/.f64 (fabs.f64 x) x)) (*.f64 -1/6 (/.f64 (+.f64 (*.f64 2 (pow.f64 (fabs.f64 x) 3)) (*.f64 -3 (fabs.f64 x))) (pow.f64 x 3)))))) |
(+.f64 1 (fabs.f64 x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (fabs.f64 x))) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x)))) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x))))) |
x |
(+.f64 (fabs.f64 x) x) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(*.f64 -1 x) |
(+.f64 (fabs.f64 x) (*.f64 -1 x)) |
(-.f64 (+.f64 (fabs.f64 x) (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (fabs.f64 x) (*.f64 -1 x))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) |
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x)))) |
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) |
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) |
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) |
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) |
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) |
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) |
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) |
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3) |
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) |
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) |
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)) |
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 x (hypot.f64 1 x)))) |
(*.f64 1 (+.f64 x (hypot.f64 1 x))) |
(*.f64 (+.f64 x (hypot.f64 1 x)) 1) |
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) |
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) |
(*.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x)))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) |
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))))) |
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) |
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x))))) |
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) |
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1) |
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2) |
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3) |
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3) |
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x)))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) |
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x))))) |
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) |
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) |
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x)))) |
(fma.f64 1 x (hypot.f64 1 x)) |
(fma.f64 1 (hypot.f64 1 x) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x)) |
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x) |
| Outputs |
|---|
(log.f64 (+.f64 1 (fabs.f64 x))) |
(log1p.f64 (fabs.f64 x)) |
(log1p.f64 x) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))) |
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) |
(fma.f64 1/2 (*.f64 (/.f64 x (+.f64 1 x)) x) (log1p.f64 x)) |
(+.f64 (*.f64 -1/24 (*.f64 (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))) |
(fma.f64 -1/24 (*.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (pow.f64 x 4)) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))) |
(fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (fma.f64 1/2 (*.f64 (/.f64 x (+.f64 1 x)) x) (log1p.f64 x))) |
(+.f64 (*.f64 -1/24 (*.f64 (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (*.f64 1/720 (*.f64 (+.f64 (*.f64 45 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (+.f64 (*.f64 30 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))) (*.f64 45 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))) (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))))) |
(fma.f64 -1/24 (*.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (pow.f64 x 4)) (fma.f64 1/720 (*.f64 (+.f64 (/.f64 45 (+.f64 1 (fabs.f64 x))) (+.f64 (/.f64 30 (pow.f64 (+.f64 1 (fabs.f64 x)) 3)) (/.f64 45 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 6)) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))))) |
(fma.f64 -1/24 (*.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (pow.f64 x 4)) (fma.f64 1/720 (*.f64 (+.f64 (/.f64 45 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)) (+.f64 (/.f64 45 (+.f64 1 (fabs.f64 x))) (/.f64 30 (pow.f64 (+.f64 1 (fabs.f64 x)) 3)))) (pow.f64 x 6)) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))))) |
(fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (fma.f64 (pow.f64 x 6) (fma.f64 1/720 (+.f64 (/.f64 45 (+.f64 1 x)) (/.f64 30 (pow.f64 (+.f64 1 x) 3))) (/.f64 1/16 (pow.f64 (+.f64 1 x) 2))) (fma.f64 1/2 (*.f64 (/.f64 x (+.f64 1 x)) x) (log1p.f64 x)))) |
(*.f64 -1 (log.f64 (/.f64 1 x))) |
(neg.f64 (neg.f64 (log.f64 x))) |
(log.f64 x) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x)) |
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 (fabs.f64 x) x)) |
(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) |
(+.f64 1 (log.f64 x)) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))) |
(fma.f64 1/2 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (*.f64 x x)) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 (fabs.f64 x) x))) |
(fma.f64 1/2 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 x x)) (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))) |
(+.f64 1 (fma.f64 (/.f64 1/2 x) (/.f64 (-.f64 1 (*.f64 x x)) x) (log.f64 x))) |
(+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -3 (fabs.f64 x)) (*.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x)))) |
(fma.f64 1/6 (/.f64 (fma.f64 2 (pow.f64 (fabs.f64 x) 3) (*.f64 (fabs.f64 x) -3)) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (*.f64 x x)) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 (fabs.f64 x) x)))) |
(fma.f64 1/6 (/.f64 (fma.f64 (fabs.f64 x) -3 (*.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 x x)) (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)))) |
(+.f64 1 (fma.f64 1/6 (/.f64 (fma.f64 2 (pow.f64 x 3) (*.f64 x -3)) (pow.f64 x 3)) (fma.f64 (/.f64 1/2 x) (/.f64 (-.f64 1 (*.f64 x x)) x) (log.f64 x)))) |
(*.f64 -1 (log.f64 (/.f64 -1 x))) |
(neg.f64 (log.f64 (/.f64 -1 x))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 -1 (/.f64 (fabs.f64 x) x))) |
(*.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (fabs.f64 x) x))) |
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x)) |
(-.f64 -1 (log.f64 (/.f64 -1 x))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 -1 (/.f64 (fabs.f64 x) x)))) |
(fma.f64 1/2 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (*.f64 x x)) (*.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (fabs.f64 x) x)))) |
(fma.f64 1/2 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x))) |
(-.f64 (fma.f64 1/2 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 x x)) -1) (log.f64 (/.f64 -1 x))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -1 (/.f64 (fabs.f64 x) x)) (*.f64 -1/6 (/.f64 (+.f64 (*.f64 2 (pow.f64 (fabs.f64 x) 3)) (*.f64 -3 (fabs.f64 x))) (pow.f64 x 3)))))) |
(fma.f64 1/2 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (*.f64 x x)) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (fma.f64 -1 (/.f64 (fabs.f64 x) x) (*.f64 -1/6 (/.f64 (fma.f64 2 (pow.f64 (fabs.f64 x) 3) (*.f64 (fabs.f64 x) -3)) (pow.f64 x 3)))))) |
(fma.f64 1/2 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (-.f64 (/.f64 (*.f64 -1/6 (fma.f64 (fabs.f64 x) -3 (*.f64 2 (pow.f64 (fabs.f64 x) 3)))) (pow.f64 x 3)) (/.f64 (fabs.f64 x) x)) (log.f64 (/.f64 -1 x)))) |
(-.f64 (fma.f64 1/2 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 x x)) (fma.f64 -1/6 (/.f64 (fma.f64 2 (pow.f64 x 3) (*.f64 x -3)) (pow.f64 x 3)) -1)) (log.f64 (/.f64 -1 x))) |
(+.f64 1 (fabs.f64 x)) |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (fabs.f64 x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fabs.f64 x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x)))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (fabs.f64 x)))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/8 (fabs.f64 x)))) |
(+.f64 1 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (*.f64 x x) x))) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x))))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 6) (fma.f64 -1/8 (pow.f64 x 4) (fabs.f64 x))))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 6) 1/16 (fma.f64 (pow.f64 x 4) -1/8 (fabs.f64 x))))) |
(+.f64 1 (fma.f64 (pow.f64 x 6) 1/16 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (*.f64 x x) x)))) |
x |
(+.f64 (fabs.f64 x) x) |
(+.f64 x (fabs.f64 x)) |
(+.f64 x x) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x)) |
(+.f64 (+.f64 x (fabs.f64 x)) (/.f64 1/2 x)) |
(+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x))) |
(+.f64 (/.f64 1/2 x) (+.f64 x x)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 1/8 (pow.f64 x 3)))) |
(+.f64 (+.f64 x (fabs.f64 x)) (+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3)))) |
(+.f64 x (+.f64 (+.f64 x (/.f64 1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (fabs.f64 x) (*.f64 -1 x)) |
(+.f64 (fabs.f64 x) (neg.f64 x)) |
(-.f64 (fabs.f64 x) x) |
0 |
(-.f64 (+.f64 (fabs.f64 x) (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (/.f64 1/2 x)) |
(+.f64 (-.f64 (fabs.f64 x) x) (/.f64 -1/2 x)) |
(/.f64 -1/2 x) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (fabs.f64 x) (*.f64 -1 x))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (/.f64 1/2 x))) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 -1/2 x))) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)) |
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x)))) |
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x)))) |
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) |
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) |
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1) |
(+.f64 x (hypot.f64 1 x)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 x (hypot.f64 1 x)))) |
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x))) |
(/.f64 1 (-.f64 (hypot.f64 1 x) x)) |
(*.f64 1 (+.f64 x (hypot.f64 1 x))) |
(+.f64 x (hypot.f64 1 x)) |
(*.f64 (+.f64 x (hypot.f64 1 x)) 1) |
(+.f64 x (hypot.f64 1 x)) |
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) |
(+.f64 x (hypot.f64 1 x)) |
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) |
(+.f64 x (hypot.f64 1 x)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) |
(+.f64 x (hypot.f64 1 x)) |
(*.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x)))) |
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x))) |
(/.f64 1 (-.f64 (hypot.f64 1 x) x)) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))) |
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x))) |
(/.f64 1 (-.f64 (hypot.f64 1 x) x)) |
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x))) |
(/.f64 1 (-.f64 (hypot.f64 1 x) x)) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (-.f64 x (hypot.f64 1 x))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (-.f64 (+.f64 x x) (hypot.f64 1 x)) 1)) |
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x)) |
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x))) |
(/.f64 1 (-.f64 (hypot.f64 1 x) x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x)))) |
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x))) |
(/.f64 1 (-.f64 (hypot.f64 1 x) x)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))) |
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1) |
(+.f64 x (hypot.f64 1 x)) |
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2) |
(+.f64 x (hypot.f64 1 x)) |
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3) |
(+.f64 x (hypot.f64 1 x)) |
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3) |
(+.f64 x (hypot.f64 1 x)) |
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x)))) |
(+.f64 x (hypot.f64 1 x)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(+.f64 x (hypot.f64 1 x)) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(+.f64 x (hypot.f64 1 x)) |
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) |
(+.f64 x (hypot.f64 1 x)) |
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x)))) |
(+.f64 x (hypot.f64 1 x)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x))))) |
(+.f64 x (hypot.f64 1 x)) |
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) |
(+.f64 x (hypot.f64 1 x)) |
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) |
(+.f64 x (hypot.f64 1 x)) |
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) |
(+.f64 x (hypot.f64 1 x)) |
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x)))) |
(+.f64 x (hypot.f64 1 x)) |
(fma.f64 1 x (hypot.f64 1 x)) |
(+.f64 x (hypot.f64 1 x)) |
(fma.f64 1 (hypot.f64 1 x) x) |
(+.f64 x (hypot.f64 1 x)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x)) |
(+.f64 x (hypot.f64 1 x)) |
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x) |
(+.f64 x (hypot.f64 1 x)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x)) |
(+.f64 x (hypot.f64 1 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x) |
(+.f64 x (hypot.f64 1 x)) |
Compiled 9214 to 6099 computations (33.8% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 447 | 12 | 459 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 449 | 12 | 461 |
| Status | Error | Program |
|---|---|---|
| 31.6b | (copysign.f64 (fma.f64 1/2 (*.f64 (/.f64 x (+.f64 1 x)) x) (log1p.f64 x)) x) | |
| 46.2b | (copysign.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)) 3) 1/3) x) | |
| 44.9b | (copysign.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))) x) | |
| ▶ | 22.5b | (copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
| ▶ | 27.7b | (copysign.f64 (log1p.f64 x) x) |
| 45.0b | (copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x) | |
| ▶ | 47.0b | (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) |
| 47.2b | (copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x) | |
| ▶ | 45.3b | (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x) |
| 47.3b | (copysign.f64 (log.f64 (+.f64 x x)) x) | |
| ▶ | 56.7b | (copysign.f64 (log.f64 (+.f64 1 x)) x) |
| 58.1b | (copysign.f64 (log.f64 (neg.f64 x)) x) |
Compiled 214 to 146 computations (31.8% saved)
Compiled 12 to 4 computations (66.7% saved)
Compiled 8 to 3 computations (62.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 2.4b | (log.f64 (+.f64 1 x)) |
Compiled 16 to 11 computations (31.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (log.f64 (+.f64 1 x)) |
| 0.0ms | x | @ | -inf | (log.f64 (+.f64 1 x)) |
| 0.0ms | x | @ | inf | (log.f64 (+.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 1300× | add-sqr-sqrt |
| 1284× | *-un-lft-identity |
| 1196× | add-cube-cbrt |
| 1184× | add-cbrt-cube |
| 1172× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 5 |
| 1 | 136 | 5 |
| 2 | 1590 | 5 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (hypot.f64 1 (sqrt.f64 x))) (log.f64 (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 x))))) |
| 1× | egg-herbie |
| 1208× | distribute-lft-in |
| 1016× | distribute-rgt-in |
| 838× | associate-+r+ |
| 776× | associate-*r* |
| 584× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 568 |
| 1 | 242 | 492 |
| 2 | 809 | 492 |
| 3 | 3240 | 492 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x))) |
(*.f64 -1 (log.f64 (/.f64 1 x))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 0 (log1p.f64 x)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (cbrt.f64 (+.f64 1 x)))) |
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 x))) (log.f64 (hypot.f64 1 (sqrt.f64 x)))) |
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))) |
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x))) |
(-.f64 (+.f64 1 (log1p.f64 x)) 1) |
(*.f64 1 (log1p.f64 x)) |
(*.f64 (log1p.f64 x) 1) |
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) |
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x))) |
(pow.f64 (log1p.f64 x) 1) |
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2) |
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3) |
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3) |
(sqrt.f64 (pow.f64 (log1p.f64 x) 2)) |
(cbrt.f64 (pow.f64 (log1p.f64 x) 3)) |
(expm1.f64 (log1p.f64 (log1p.f64 x))) |
(exp.f64 (log.f64 (log1p.f64 x))) |
(log1p.f64 x) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x) |
(fma.f64 -1/2 (*.f64 x x) x) |
(fma.f64 x (*.f64 x -1/2) x) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x)) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) x)) |
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/3 (pow.f64 x 3) x)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x))) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/4 (pow.f64 x 4) x))) |
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/4 (pow.f64 x 4) x))) |
(*.f64 -1 (log.f64 (/.f64 1 x))) |
(neg.f64 (neg.f64 (log.f64 x))) |
(log.f64 x) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) |
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x)) |
(+.f64 (/.f64 1 x) (log.f64 x)) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x)) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (-.f64 (log.f64 x) (/.f64 (/.f64 1/2 x) x))) |
(+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (/.f64 -1/2 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (/.f64 (/.f64 -1/2 x) x))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (log.f64 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (log.f64 x) (/.f64 -1/2 (*.f64 x x))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (log.f64 x) (/.f64 (/.f64 -1/2 x) x)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) |
(neg.f64 (neg.f64 (log.f64 x))) |
(log.f64 x) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) |
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x)) |
(+.f64 (/.f64 1 x) (log.f64 x)) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x)) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (-.f64 (log.f64 x) (/.f64 (/.f64 1/2 x) x))) |
(+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (/.f64 -1/2 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (/.f64 (/.f64 -1/2 x) x))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (log.f64 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (log.f64 x) (/.f64 -1/2 (*.f64 x x))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (log.f64 x) (/.f64 (/.f64 -1/2 x) x)))) |
(+.f64 0 (log1p.f64 x)) |
(log1p.f64 x) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (cbrt.f64 (+.f64 1 x)))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x 1)))) (log.f64 (cbrt.f64 (+.f64 x 1)))) |
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x 1)))) |
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 x))) (log.f64 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 2 (log.f64 (hypot.f64 1 (sqrt.f64 x)))) |
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))) |
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (-.f64 (*.f64 x x) x))) |
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x))) |
(-.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (neg.f64 x))) |
(-.f64 (+.f64 1 (log1p.f64 x)) 1) |
(log1p.f64 x) |
(*.f64 1 (log1p.f64 x)) |
(log1p.f64 x) |
(*.f64 (log1p.f64 x) 1) |
(log1p.f64 x) |
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) |
(log1p.f64 x) |
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) |
(log1p.f64 x) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x))) |
(log1p.f64 x) |
(pow.f64 (log1p.f64 x) 1) |
(log1p.f64 x) |
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2) |
(log1p.f64 x) |
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3) |
(log1p.f64 x) |
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3) |
(log1p.f64 x) |
(sqrt.f64 (pow.f64 (log1p.f64 x) 2)) |
(log1p.f64 x) |
(cbrt.f64 (pow.f64 (log1p.f64 x) 3)) |
(log1p.f64 x) |
(expm1.f64 (log1p.f64 (log1p.f64 x))) |
(log1p.f64 x) |
(exp.f64 (log.f64 (log1p.f64 x))) |
(log1p.f64 x) |
(log1p.f64 x) |
Compiled 16 to 11 computations (31.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (+.f64 x (hypot.f64 1 x)) |
| ✓ | 2.5b | (log.f64 (+.f64 x (hypot.f64 1 x))) |
Compiled 25 to 16 computations (36% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (log.f64 (+.f64 x (hypot.f64 1 x))) |
| 0.0ms | x | @ | 0 | (log.f64 (+.f64 x (hypot.f64 1 x))) |
| 0.0ms | x | @ | inf | (log.f64 (+.f64 x (hypot.f64 1 x))) |
| 0.0ms | x | @ | -inf | (+.f64 x (hypot.f64 1 x)) |
| 0.0ms | x | @ | inf | (+.f64 x (hypot.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 1604× | add-sqr-sqrt |
| 1590× | *-un-lft-identity |
| 1478× | add-cube-cbrt |
| 1462× | add-cbrt-cube |
| 1448× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 30 |
| 1 | 158 | 30 |
| 2 | 1952 | 30 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(+.f64 x (hypot.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x)))))) |
| 1× | egg-herbie |
| 1258× | associate-+l- |
| 1152× | fma-def |
| 1062× | associate-+r- |
| 916× | unswap-sqr |
| 542× | associate-+l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 216 | 2461 |
| 1 | 559 | 2087 |
| 2 | 2026 | 1941 |
| 3 | 7089 | 1941 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
1 |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x))) |
(*.f64 2 x) |
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) |
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) |
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x)))) |
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) |
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) |
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) |
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) |
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) |
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) |
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3) |
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) |
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) |
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)) |
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)) |
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 x (hypot.f64 1 x)))) |
(*.f64 1 (+.f64 x (hypot.f64 1 x))) |
(*.f64 (+.f64 x (hypot.f64 1 x)) 1) |
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) |
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) |
(*.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x)))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) |
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))))) |
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) |
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x))))) |
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) |
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1) |
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2) |
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3) |
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3) |
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x)))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) |
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x)))) |
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) |
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) |
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x)))) |
(fma.f64 1 x (hypot.f64 1 x)) |
(fma.f64 1 (hypot.f64 1 x) x) |
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x)) |
(fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x)) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) |
(+.f64 (log.f64 2) (log.f64 x)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4))) |
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))))) |
(+.f64 (log.f64 2) (-.f64 (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))) (/.f64 3/32 (pow.f64 x 4)))) |
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4))) |
(+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (-.f64 (log.f64 2) (/.f64 3/32 (pow.f64 x 4))))) |
(+.f64 (log.f64 2) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (/.f64 -3/32 (pow.f64 x 4)))) (log.f64 x))) |
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x))) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (/.f64 -1/4 x) x))) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))) |
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (+.f64 (log.f64 1/2) (+.f64 (/.f64 (/.f64 -1/4 x) x) (/.f64 -5/96 (pow.f64 x 6)))) (log.f64 (/.f64 -1 x)))) |
1 |
(+.f64 1 x) |
(+.f64 x 1) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x)) |
(+.f64 x (fma.f64 x (*.f64 x 1/2) 1)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/8 x))) |
(+.f64 (fma.f64 (pow.f64 x 4) -1/8 x) (fma.f64 x (*.f64 x 1/2) 1)) |
(*.f64 2 x) |
(*.f64 x 2) |
(+.f64 x x) |
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(fma.f64 2 x (/.f64 1/2 x)) |
(fma.f64 x 2 (/.f64 1/2 x)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3))) |
(+.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 -1/8 (pow.f64 x 3))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x (/.f64 1/16 (pow.f64 x 5)))) (/.f64 1/8 (pow.f64 x 3))) |
(+.f64 (/.f64 1/2 x) (+.f64 (fma.f64 x 2 (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/8 (pow.f64 x 3)))) |
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3))))) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) |
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/2 x)) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5)))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 5/128 (pow.f64 x 7)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 5/128 (pow.f64 x 7)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))) |
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) |
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x)))) |
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x)))) |
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 x (hypot.f64 1 x)))) |
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x))) |
(/.f64 -1 (-.f64 x (hypot.f64 1 x))) |
(/.f64 1 (-.f64 (hypot.f64 1 x) x)) |
(*.f64 1 (+.f64 x (hypot.f64 1 x))) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(*.f64 (+.f64 x (hypot.f64 1 x)) 1) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(*.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x)))) |
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x))) |
(/.f64 -1 (-.f64 x (hypot.f64 1 x))) |
(/.f64 1 (-.f64 (hypot.f64 1 x) x)) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) |
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x))) |
(/.f64 -1 (-.f64 x (hypot.f64 1 x))) |
(/.f64 1 (-.f64 (hypot.f64 1 x) x)) |
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) |
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x))) |
(/.f64 -1 (-.f64 x (hypot.f64 1 x))) |
(/.f64 1 (-.f64 (hypot.f64 1 x) x)) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 1 (+.f64 (*.f64 x x) (*.f64 x (-.f64 x (hypot.f64 1 x)))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (+.f64 x (-.f64 x (hypot.f64 1 x))) 1)) |
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x)) |
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x))) |
(/.f64 -1 (-.f64 x (hypot.f64 1 x))) |
(/.f64 1 (-.f64 (hypot.f64 1 x) x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x)))) |
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x))) |
(/.f64 -1 (-.f64 x (hypot.f64 1 x))) |
(/.f64 1 (-.f64 (hypot.f64 1 x) x)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) |
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x)))) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x)))) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x)))) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(fma.f64 1 x (hypot.f64 1 x)) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(fma.f64 1 (hypot.f64 1 x) x) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x)) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) x) |
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x)) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
Compiled 2840 to 1961 computations (31% saved)
10 alts after pruning (7 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 189 | 3 | 192 |
| Fresh | 3 | 4 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 2 | 4 |
| Total | 194 | 10 | 204 |
| Status | Error | Program |
|---|---|---|
| 45.3b | (copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x) | |
| ▶ | 31.9b | (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) |
| ✓ | 27.7b | (copysign.f64 (log1p.f64 x) x) |
| 45.0b | (copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x) | |
| ✓ | 47.0b | (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) |
| ▶ | 47.2b | (copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x) |
| ✓ | 45.3b | (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x) |
| ▶ | 47.3b | (copysign.f64 (log.f64 (+.f64 x x)) x) |
| ▶ | 58.1b | (copysign.f64 (log.f64 (neg.f64 x)) x) |
| ▶ | 30.8b | (copysign.f64 x x) |
Compiled 145 to 98 computations (32.4% saved)
Compiled 5 to 2 computations (60% saved)
Compiled 12 to 4 computations (66.7% saved)
Compiled 15 to 4 computations (73.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 x 3) |
| ✓ | 0.1b | (*.f64 -1/6 (pow.f64 x 3)) |
Compiled 28 to 20 computations (28.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (pow.f64 x 3) |
| 0.0ms | x | @ | 0 | (*.f64 -1/6 (pow.f64 x 3)) |
| 0.0ms | x | @ | inf | (pow.f64 x 3) |
| 0.0ms | x | @ | -inf | (*.f64 -1/6 (pow.f64 x 3)) |
| 0.0ms | x | @ | inf | (*.f64 -1/6 (pow.f64 x 3)) |
| 1× | batch-egg-rewrite |
| 1238× | add-sqr-sqrt |
| 1204× | *-un-lft-identity |
| 1144× | add-cube-cbrt |
| 1136× | add-cbrt-cube |
| 1120× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 1 | 149 | 20 |
| 2 | 1597 | 20 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/6 (pow.f64 x 3)) |
(pow.f64 x 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 3))))))) |
| 1× | egg-herbie |
| 1164× | associate-+r+ |
| 1074× | associate-+l+ |
| 966× | distribute-lft-in |
| 954× | distribute-rgt-in |
| 636× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 636 |
| 1 | 181 | 456 |
| 2 | 658 | 276 |
| 3 | 1740 | 276 |
| 4 | 7530 | 276 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) |
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1) |
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2) |
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3) |
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36)) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)) |
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) |
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3)))) |
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))) |
(-.f64 (+.f64 1 (pow.f64 x 3)) 1) |
(*.f64 x (*.f64 x x)) |
(*.f64 (pow.f64 x 3) 1) |
(*.f64 1 (pow.f64 x 3)) |
(*.f64 (pow.f64 x 3/2) (pow.f64 x 3/2)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x x))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x x))) |
(*.f64 (*.f64 x x) x) |
(*.f64 (*.f64 (*.f64 x x) 1) x) |
(*.f64 (*.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3) x) |
(sqrt.f64 (pow.f64 x 6)) |
(log.f64 (exp.f64 (pow.f64 x 3))) |
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 x 3))) |
(exp.f64 (*.f64 3 (log.f64 x))) |
(log1p.f64 (expm1.f64 (pow.f64 x 3))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) |
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0) |
(*.f64 -1/6 (pow.f64 x 3)) |
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1) |
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0) |
(*.f64 -1/6 (pow.f64 x 3)) |
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2) |
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0) |
(*.f64 -1/6 (pow.f64 x 3)) |
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3) |
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0) |
(*.f64 -1/6 (pow.f64 x 3)) |
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3) |
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0) |
(*.f64 -1/6 (pow.f64 x 3)) |
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36)) |
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0) |
(*.f64 -1/6 (pow.f64 x 3)) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)) |
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0) |
(*.f64 -1/6 (pow.f64 x 3)) |
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) |
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0) |
(*.f64 -1/6 (pow.f64 x 3)) |
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) |
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0) |
(*.f64 -1/6 (pow.f64 x 3)) |
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3)))) |
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0) |
(*.f64 -1/6 (pow.f64 x 3)) |
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))) |
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0) |
(*.f64 -1/6 (pow.f64 x 3)) |
(-.f64 (+.f64 1 (pow.f64 x 3)) 1) |
(+.f64 (+.f64 1 (pow.f64 x 3)) -1) |
(+.f64 (pow.f64 x 3) 0) |
(pow.f64 x 3) |
(*.f64 x (*.f64 x x)) |
(+.f64 (+.f64 1 (pow.f64 x 3)) -1) |
(+.f64 (pow.f64 x 3) 0) |
(pow.f64 x 3) |
(*.f64 (pow.f64 x 3) 1) |
(+.f64 (+.f64 1 (pow.f64 x 3)) -1) |
(+.f64 (pow.f64 x 3) 0) |
(pow.f64 x 3) |
(*.f64 1 (pow.f64 x 3)) |
(+.f64 (+.f64 1 (pow.f64 x 3)) -1) |
(+.f64 (pow.f64 x 3) 0) |
(pow.f64 x 3) |
(*.f64 (pow.f64 x 3/2) (pow.f64 x 3/2)) |
(+.f64 (+.f64 1 (pow.f64 x 3)) -1) |
(+.f64 (pow.f64 x 3) 0) |
(pow.f64 x 3) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x x))) |
(+.f64 (+.f64 1 (pow.f64 x 3)) -1) |
(+.f64 (pow.f64 x 3) 0) |
(pow.f64 x 3) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x x))) |
(+.f64 (+.f64 1 (pow.f64 x 3)) -1) |
(+.f64 (pow.f64 x 3) 0) |
(pow.f64 x 3) |
(*.f64 (*.f64 x x) x) |
(+.f64 (+.f64 1 (pow.f64 x 3)) -1) |
(+.f64 (pow.f64 x 3) 0) |
(pow.f64 x 3) |
(*.f64 (*.f64 (*.f64 x x) 1) x) |
(+.f64 (+.f64 1 (pow.f64 x 3)) -1) |
(+.f64 (pow.f64 x 3) 0) |
(pow.f64 x 3) |
(*.f64 (*.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x)) |
(+.f64 (+.f64 1 (pow.f64 x 3)) -1) |
(+.f64 (pow.f64 x 3) 0) |
(pow.f64 x 3) |
(*.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(+.f64 (+.f64 1 (pow.f64 x 3)) -1) |
(+.f64 (pow.f64 x 3) 0) |
(pow.f64 x 3) |
(*.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3)) |
(+.f64 (+.f64 1 (pow.f64 x 3)) -1) |
(+.f64 (pow.f64 x 3) 0) |
(pow.f64 x 3) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3) x) |
(+.f64 (+.f64 1 (pow.f64 x 3)) -1) |
(+.f64 (pow.f64 x 3) 0) |
(pow.f64 x 3) |
(sqrt.f64 (pow.f64 x 6)) |
(+.f64 (+.f64 1 (pow.f64 x 3)) -1) |
(+.f64 (pow.f64 x 3) 0) |
(pow.f64 x 3) |
(log.f64 (exp.f64 (pow.f64 x 3))) |
(+.f64 (+.f64 1 (pow.f64 x 3)) -1) |
(+.f64 (pow.f64 x 3) 0) |
(pow.f64 x 3) |
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3)) |
(+.f64 (+.f64 1 (pow.f64 x 3)) -1) |
(+.f64 (pow.f64 x 3) 0) |
(pow.f64 x 3) |
(expm1.f64 (log1p.f64 (pow.f64 x 3))) |
(+.f64 (+.f64 1 (pow.f64 x 3)) -1) |
(+.f64 (pow.f64 x 3) 0) |
(pow.f64 x 3) |
(exp.f64 (*.f64 3 (log.f64 x))) |
(+.f64 (+.f64 1 (pow.f64 x 3)) -1) |
(+.f64 (pow.f64 x 3) 0) |
(pow.f64 x 3) |
(log1p.f64 (expm1.f64 (pow.f64 x 3))) |
(+.f64 (+.f64 1 (pow.f64 x 3)) -1) |
(+.f64 (pow.f64 x 3) 0) |
(pow.f64 x 3) |
Compiled 34 to 17 computations (50% saved)
Compiled 434 to 290 computations (33.2% saved)
11 alts after pruning (4 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 34 | 2 | 36 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 6 | 7 |
| Total | 35 | 11 | 46 |
| Status | Error | Program |
|---|---|---|
| ▶ | 45.3b | (copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x) |
| ▶ | 32.0b | (copysign.f64 (+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x) x) |
| ▶ | 31.9b | (copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x) |
| ✓ | 27.7b | (copysign.f64 (log1p.f64 x) x) |
| ▶ | 45.0b | (copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x) |
| ✓ | 47.0b | (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) |
| ✓ | 47.2b | (copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x) |
| ✓ | 45.3b | (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x) |
| ✓ | 47.3b | (copysign.f64 (log.f64 (+.f64 x x)) x) |
| ✓ | 58.1b | (copysign.f64 (log.f64 (neg.f64 x)) x) |
| ✓ | 30.8b | (copysign.f64 x x) |
Compiled 99 to 67 computations (32.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (-.f64 (hypot.f64 1 x) x)) |
| ✓ | 0.3b | (-.f64 (hypot.f64 1 x) x) |
| ✓ | 2.5b | (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) |
Compiled 36 to 25 computations (30.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) |
| 0.0ms | x | @ | inf | (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) |
| 0.0ms | x | @ | -inf | (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) |
| 0.0ms | x | @ | inf | (-.f64 (hypot.f64 1 x) x) |
| 0.0ms | x | @ | -inf | (-.f64 (hypot.f64 1 x) x) |
| 1× | batch-egg-rewrite |
| 1892× | add-sqr-sqrt |
| 1874× | *-un-lft-identity |
| 1746× | add-cube-cbrt |
| 1728× | add-cbrt-cube |
| 184× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 53 |
| 1 | 187 | 53 |
| 2 | 2344 | 53 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) |
(-.f64 (hypot.f64 1 x) x) |
(/.f64 1 (-.f64 (hypot.f64 1 x) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) (log.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -1) (log.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 0 (+.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (*.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (hypot.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (hypot.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (hypot.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (neg.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (hypot.f64 1 x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (hypot.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1) (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (hypot.f64 1 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))))) |
| 1× | egg-herbie |
| 1522× | associate-/r* |
| 1398× | associate-/l* |
| 914× | associate-*r/ |
| 722× | +-commutative |
| 698× | associate-+l+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 305 | 3606 |
| 1 | 835 | 3258 |
| 2 | 3314 | 3258 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.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 2)) (+.f64 (*.f64 -1 x) (*.f64 -1/8 (pow.f64 x 4))))) |
(/.f64 1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7))))) |
(*.f64 -2 x) |
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) |
1 |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x))) |
(*.f64 2 x) |
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 0 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) |
(+.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) |
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) (log.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))) |
(-.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x))) |
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x)))) |
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 1) |
(*.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) |
(*.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1) |
(*.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) |
(*.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) |
(*.f64 -1 (log.f64 (-.f64 (hypot.f64 1 x) x))) |
(/.f64 (-.f64 0 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (-.f64 (hypot.f64 1 x) x))) |
(/.f64 (-.f64 0 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 0 (+.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (*.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) |
(pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1) |
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) |
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3) |
(pow.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3) |
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) |
(sqrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) |
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) |
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) |
(exp.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)) |
(log1p.f64 (-.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)) |
(+.f64 (hypot.f64 1 x) (neg.f64 x)) |
(+.f64 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1)) |
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x)) |
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) |
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) |
(+.f64 (neg.f64 x) (hypot.f64 1 x)) |
(*.f64 1 (-.f64 (hypot.f64 1 x) x)) |
(*.f64 (-.f64 (hypot.f64 1 x) x) 1) |
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) |
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) |
(*.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x)))) |
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))) |
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))) |
(/.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) |
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)))) |
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) |
(/.f64 (-.f64 (hypot.f64 1 x) x) 1) |
(/.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) |
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (+.f64 x (hypot.f64 1 x))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))) |
(/.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x)) -1) |
(/.f64 (neg.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (neg.f64 (+.f64 x (hypot.f64 1 x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))) |
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 x))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (hypot.f64 1 x) (neg.f64 x))))) |
(pow.f64 (-.f64 (hypot.f64 1 x) x) 1) |
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) |
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 3) |
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2)) |
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))) |
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) x))) |
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)) |
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x))) |
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x)) |
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) 1) |
(*.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) |
(*.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1) |
(*.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) |
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) |
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 (hypot.f64 1 x) x)))) |
(*.f64 (/.f64 1 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (+.f64 x (hypot.f64 1 x))) |
(*.f64 (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))) |
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1) (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -1)) |
(pow.f64 (-.f64 (hypot.f64 1 x) x) -1) |
(pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1) |
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3) 1/3) |
(pow.f64 (E.f64) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) |
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) |
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) |
(log.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) |
(exp.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) |
(+.f64 (log.f64 2) (log.f64 x)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 1/4 (*.f64 x x))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4))) |
(+.f64 (log.f64 x) (+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (/.f64 -3/32 (pow.f64 x 4)))) |
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4))) |
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 3/32 (pow.f64 x 4))))) |
(+.f64 (log.f64 x) (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (+.f64 (log.f64 2) (/.f64 5/96 (pow.f64 x 6))) (/.f64 3/32 (pow.f64 x 4))))) |
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x))) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2))) (/.f64 1/4 (*.f64 x x))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))) |
(+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (/.f64 -1/4 x) x)))) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))) |
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (/.f64 (/.f64 -1/4 x) x) (/.f64 5/96 (pow.f64 x 6)))))) |
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (neg.f64 x)) |
(-.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -1/8 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 (pow.f64 x 4) -1/8)))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 4) -1/8) x))) |
(+.f64 1 (-.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/8)) x)) |
(/.f64 1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) |
(+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3))) |
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/8 (pow.f64 x 3))) |
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 -1/8 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7))))) |
(-.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/128 (pow.f64 x 7)))) |
(+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/128 (pow.f64 x 7))))) |
(+.f64 (/.f64 1/2 x) (-.f64 (-.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/8 (pow.f64 x 3))) (/.f64 5/128 (pow.f64 x 7)))) |
(*.f64 -2 x) |
(*.f64 x -2) |
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 x -2) (/.f64 1/2 x)) |
(fma.f64 x -2 (/.f64 -1/2 x)) |
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (fma.f64 -2 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 x -2 (/.f64 -1/2 x))) |
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) |
(-.f64 (fma.f64 -2 x (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) |
(+.f64 (fma.f64 x -2 (/.f64 1/8 (pow.f64 x 3))) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5)))) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (fma.f64 x -2 (/.f64 -1/2 x)) (/.f64 1/16 (pow.f64 x 5)))) |
1 |
(+.f64 1 x) |
(+.f64 x 1) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/8 x))) |
(*.f64 2 x) |
(*.f64 x 2) |
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(fma.f64 2 x (/.f64 1/2 x)) |
(fma.f64 x 2 (/.f64 1/2 x)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3))) |
(+.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x (/.f64 1/16 (pow.f64 x 5)))) (/.f64 1/8 (pow.f64 x 3))) |
(+.f64 (+.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 1/16 (pow.f64 x 5)))) (/.f64 -1/8 (pow.f64 x 3))) |
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3)))) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5)))) |
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(/.f64 1 (-.f64 (hypot.f64 1 x) x)) |
(/.f64 -1 (-.f64 x (hypot.f64 1 x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))) |
(/.f64 1 (-.f64 (hypot.f64 1 x) x)) |
(/.f64 -1 (-.f64 x (hypot.f64 1 x))) |
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3)) |
(/.f64 1 (-.f64 (hypot.f64 1 x) x)) |
(/.f64 -1 (-.f64 x (hypot.f64 1 x))) |
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) |
(/.f64 1 (-.f64 (hypot.f64 1 x) x)) |
(/.f64 -1 (-.f64 x (hypot.f64 1 x))) |
(exp.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) |
(/.f64 1 (-.f64 (hypot.f64 1 x) x)) |
(/.f64 -1 (-.f64 x (hypot.f64 1 x))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1)) |
(/.f64 1 (-.f64 (hypot.f64 1 x) x)) |
(/.f64 -1 (-.f64 x (hypot.f64 1 x))) |
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) |
(/.f64 1 (-.f64 (hypot.f64 1 x) x)) |
(/.f64 -1 (-.f64 x (hypot.f64 1 x))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (*.f64 x x) x) |
| ✓ | 0.1b | (*.f64 -1/6 (*.f64 (*.f64 x x) x)) |
Compiled 38 to 13 computations (65.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (*.f64 (*.f64 x x) x) |
| 0.0ms | x | @ | -inf | (*.f64 (*.f64 x x) x) |
| 0.0ms | x | @ | 0 | (*.f64 -1/6 (*.f64 (*.f64 x x) x)) |
| 0.0ms | x | @ | -inf | (*.f64 -1/6 (*.f64 (*.f64 x x) x)) |
| 0.0ms | x | @ | inf | (*.f64 -1/6 (*.f64 (*.f64 x x) x)) |
| 1× | batch-egg-rewrite |
| 1218× | add-sqr-sqrt |
| 1190× | *-un-lft-identity |
| 1120× | add-cube-cbrt |
| 1110× | add-cbrt-cube |
| 1098× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 1 | 143 | 20 |
| 2 | 1626 | 20 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/6 (*.f64 (*.f64 x x) x)) |
(*.f64 (*.f64 x x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 3))))))) |
| 1× | egg-herbie |
| 1756× | log-prod |
| 1272× | associate-+r+ |
| 1234× | associate-+l+ |
| 1100× | associate-*r* |
| 866× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 460 |
| 1 | 129 | 460 |
| 2 | 522 | 460 |
| 3 | 2951 | 460 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) |
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1) |
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2) |
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3) |
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36)) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)) |
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) |
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3)))) |
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))) |
(-.f64 (+.f64 1 (pow.f64 x 3)) 1) |
(pow.f64 x 3) |
(pow.f64 (pow.f64 x 3) 1) |
(pow.f64 (pow.f64 x 3/2) 2) |
(pow.f64 (pow.f64 (pow.f64 x 3) 3) 1/3) |
(sqrt.f64 (pow.f64 x 6)) |
(log.f64 (exp.f64 (pow.f64 x 3))) |
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 x 3))) |
(exp.f64 (*.f64 (log.f64 x) 3)) |
(log1p.f64 (expm1.f64 (pow.f64 x 3))) |
| Outputs |
|---|
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) |
(*.f64 -1/6 (pow.f64 x 3)) |
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1) |
(*.f64 -1/6 (pow.f64 x 3)) |
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2) |
(*.f64 -1/6 (pow.f64 x 3)) |
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3) |
(*.f64 -1/6 (pow.f64 x 3)) |
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3) |
(*.f64 -1/6 (pow.f64 x 3)) |
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) |
(*.f64 -1/6 (pow.f64 x 3)) |
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3)))) |
(*.f64 -1/6 (pow.f64 x 3)) |
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))) |
(*.f64 -1/6 (pow.f64 x 3)) |
(-.f64 (+.f64 1 (pow.f64 x 3)) 1) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 (pow.f64 x 3) 1) |
(pow.f64 x 3) |
(pow.f64 (pow.f64 x 3/2) 2) |
(pow.f64 x 3) |
(pow.f64 (pow.f64 (pow.f64 x 3) 3) 1/3) |
(pow.f64 x 3) |
(sqrt.f64 (pow.f64 x 6)) |
(pow.f64 x 3) |
(log.f64 (exp.f64 (pow.f64 x 3))) |
(pow.f64 x 3) |
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3)) |
(pow.f64 x 3) |
(expm1.f64 (log1p.f64 (pow.f64 x 3))) |
(pow.f64 x 3) |
(exp.f64 (*.f64 (log.f64 x) 3)) |
(pow.f64 x 3) |
(log1p.f64 (expm1.f64 (pow.f64 x 3))) |
(pow.f64 x 3) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (pow.f64 x 3) | |
| 0.1b | (*.f64 -1/6 (pow.f64 x 3)) | |
| ✓ | 0.8b | (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) |
Compiled 53 to 43 computations (18.9% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) |
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) |
| 1× | batch-egg-rewrite |
| 1988× | add-sqr-sqrt |
| 1952× | *-un-lft-identity |
| 1852× | add-cube-cbrt |
| 1842× | add-cbrt-cube |
| 204× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 1 | 224 | 13 |
| 2 | 2791 | 13 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 -1/6 (pow.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/6 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x x) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 -1/6)) (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 x -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/6 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/6 (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (-.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (fma.f64 -1/6 (pow.f64 x 3) -1))) (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (fma.f64 -1/6 (pow.f64 x 3) -1)) (fma.f64 -1/6 (pow.f64 x 3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) -1))))) |
| 1× | egg-herbie |
| 1284× | associate--l+ |
| 1212× | associate-/r* |
| 1130× | associate-+r- |
| 1122× | associate-*r* |
| 1012× | associate-*l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 1455 |
| 1 | 281 | 1381 |
| 2 | 911 | 1369 |
| 3 | 4579 | 1369 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1)) |
(+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0) |
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1) |
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1) |
(+.f64 -1 (fma.f64 -1/6 (pow.f64 x 3) 1)) |
(*.f64 1 (*.f64 -1/6 (pow.f64 x 3))) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 x (*.f64 (*.f64 x x) -1/6)) |
(*.f64 (pow.f64 x 3) -1/6) |
(*.f64 (*.f64 -1/6 (pow.f64 x 3)) 1) |
(*.f64 (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3)))) |
(*.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6)) |
(*.f64 (*.f64 x (cbrt.f64 -1/6)) (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2)) |
(*.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6))) |
(*.f64 (*.f64 x x) (*.f64 x -1/6)) |
(*.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)))) |
(*.f64 (*.f64 -1/6 x) (*.f64 x x)) |
(*.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2)) |
(*.f64 (*.f64 -1/6 (*.f64 x x)) x) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1)) |
(/.f64 1 (/.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)) |
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1)) |
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (-.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1)))) |
(/.f64 (-.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (fma.f64 -1/6 (pow.f64 x 3) -1))) (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (fma.f64 -1/6 (pow.f64 x 3) -1)) (fma.f64 -1/6 (pow.f64 x 3) -1)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)))) |
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1) |
(pow.f64 (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) 2) |
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3) |
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36)) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) |
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) |
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))) |
(fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 1) -1) |
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) -1) |
| Outputs |
|---|
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0) |
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1) |
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1) |
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 -1 (fma.f64 -1/6 (pow.f64 x 3) 1)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 1 (*.f64 -1/6 (pow.f64 x 3))) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 x (*.f64 (*.f64 x x) -1/6)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 (pow.f64 x 3) -1/6) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 (*.f64 -1/6 (pow.f64 x 3)) 1) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3)))) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 (*.f64 x (cbrt.f64 -1/6)) (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6))) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 (*.f64 x x) (*.f64 x -1/6)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (fma.f64 -1/6 (pow.f64 x 3) 2)) |
(*.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 2 (fma.f64 -1/6 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) (fma.f64 -1/6 (pow.f64 x 3) 2)))) |
(*.f64 (*.f64 -1/6 x) (*.f64 x x)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 (*.f64 -1/6 (*.f64 x x)) x) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(/.f64 1 (/.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (fma.f64 -1/6 (pow.f64 x 3) 2)) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 2 (fma.f64 -1/6 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) (fma.f64 -1/6 (pow.f64 x 3) 2)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (fma.f64 -1/6 (pow.f64 x 3) 2)) |
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1)) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (fma.f64 -1/6 (pow.f64 x 3) 2)) |
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 2 (fma.f64 -1/6 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) (fma.f64 -1/6 (pow.f64 x 3) 2)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (-.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1)))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 2 (fma.f64 -1/6 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) (fma.f64 -1/6 (pow.f64 x 3) 2)))) |
(/.f64 (-.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (fma.f64 -1/6 (pow.f64 x 3) -1))) (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1))) |
(/.f64 (fma.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (fma.f64 (pow.f64 x 3) 1/6 1) 1) (+.f64 (*.f64 (pow.f64 x 3) 1/6) 2)) |
(/.f64 (fma.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (fma.f64 (pow.f64 x 3) 1/6 1) 1) (+.f64 2 (*.f64 (pow.f64 x 3) 1/6))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (fma.f64 -1/6 (pow.f64 x 3) -1)) (fma.f64 -1/6 (pow.f64 x 3) -1)))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1)))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3)) (fma.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) -2) 1)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (fma.f64 -1/6 (pow.f64 x 3) 2)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 2 (fma.f64 -1/6 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) (fma.f64 -1/6 (pow.f64 x 3) 2)))) |
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1) |
(*.f64 -1/6 (pow.f64 x 3)) |
(pow.f64 (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) 2) |
(*.f64 -1/6 (pow.f64 x 3)) |
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3) |
(*.f64 -1/6 (pow.f64 x 3)) |
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) |
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36)) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))) |
(*.f64 -1/6 (pow.f64 x 3)) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) |
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) |
(*.f64 -1/6 (pow.f64 x 3)) |
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3)))) |
(*.f64 -1/6 (pow.f64 x 3)) |
(exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))) |
(*.f64 -1/6 (pow.f64 x 3)) |
(fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 1) -1) |
(*.f64 -1/6 (pow.f64 x 3)) |
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) -1) |
(*.f64 -1/6 (pow.f64 x 3)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) -1) |
(*.f64 -1/6 (pow.f64 x 3)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.0b | (+.f64 x (hypot.f64 1 x)) | |
| ✓ | 2.4b | (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) |
| 2.5b | (log.f64 (+.f64 x (hypot.f64 1 x))) |
Compiled 47 to 34 computations (27.7% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) |
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) |
| 1× | batch-egg-rewrite |
| 1228× | associate-*r/ |
| 964× | associate-*l/ |
| 878× | distribute-lft-in |
| 876× | *-commutative |
| 334× | associate-+l+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 29 |
| 1 | 220 | 17 |
| 2 | 3056 | 17 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) |
| Outputs |
|---|
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(log.f64 (+.f64 x (hypot.f64 1 x))) -1) 3)) 1) (-.f64 (+.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) 1) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) 1) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 1) (/.f64 1 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(hypot.f64 1 x)))) 3) 3) 1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) 1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (*.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) 1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (*.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (-.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1))))) |
| 1× | egg-herbie |
| 1586× | associate-/l* |
| 1288× | associate-/r* |
| 1220× | associate-*r/ |
| 904× | *-commutative |
| 710× | associate-*l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 299 | 7239 |
| 1 | 845 | 6949 |
| 2 | 3654 | 6931 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) |
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0) |
(+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1) |
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))) |
(+.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1) |
(+.f64 -1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 0)) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 0)) |
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) |
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) |
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) |
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) |
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) |
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) |
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) |
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) |
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)) |
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (+.f64 1 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) |
(*.f64 (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) |
(*.f64 (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (log.f64 (+.f64 x (hypot.f64 1 x)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (-.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (-.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))) (-.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3) (pow.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (-.f64 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (*.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) |
(/.f64 1 (/.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))) (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) |
(/.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) |
(/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) (/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1))) (/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))))) |
(/.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (+.f64 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) 1) (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) 1) (*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 1) (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 3)) (-.f64 (+.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 3) 1) (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 3) 1) (*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3) 1) (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 1) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) |
(/.f64 (*.f64 1 (-.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))) (+.f64 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)) |
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 3))) (-.f64 (+.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) |
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1))) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) |
(/.f64 (*.f64 1 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) |
(/.f64 (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1))) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) |
(/.f64 (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1))) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) 1) (+.f64 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 3)) 1) (-.f64 (+.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) 1) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) |
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) 1) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3) 1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (+.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 1) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) 1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 3) 1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) 1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (*.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) 1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (*.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) |
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) |
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) |
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) |
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3) |
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(log.f64 (-.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) 1)) |
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) |
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(fma.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1) |
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) |
(+.f64 (log.f64 2) (log.f64 x)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 x))) |
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4))) |
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))))) |
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4))) |
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(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 6)) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x))))) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 4) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 6)) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 4)))) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) 1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 6) -1) (*.f64 (+.f64 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 6)) (*.f64 (+.f64 2 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 3) 1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 3) -1) (*.f64 (+.f64 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (+.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 6) 1) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 3)) (*.f64 (+.f64 2 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 6))))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 3)) (*.f64 (+.f64 2 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 6))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) 1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (*.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) 1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 2 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 2 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (*.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 2 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) |
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) |
(fabs.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(log.f64 (-.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) 1)) |
(log.f64 (+.f64 (+.f64 x 1) (+.f64 (hypot.f64 1 x) -1))) |
(log.f64 (+.f64 -1 (+.f64 x (+.f64 1 (hypot.f64 1 x))))) |
(log.f64 (+.f64 (hypot.f64 1 x) (+.f64 x 0))) |
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) |
(log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) |
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x)))) |
(fma.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
Compiled 14293 to 10967 computations (23.3% saved)
14 alts after pruning (5 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 652 | 5 | 657 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 8 | 10 |
| Total | 654 | 14 | 668 |
| Status | Error | Program |
|---|---|---|
| 45.3b | (copysign.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) x) | |
| 61.2b | (copysign.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1) x) | |
| ✓ | 45.3b | (copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x) |
| 60.0b | (copysign.f64 (-.f64 (+.f64 1 x) 1) x) | |
| 32.0b | (copysign.f64 (+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (*.f64 (*.f64 x x) x))) 1) x) x) | |
| ✓ | 31.9b | (copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x) |
| ✓ | 27.7b | (copysign.f64 (log1p.f64 x) x) |
| 46.9b | (copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x) | |
| ✓ | 47.0b | (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) |
| ✓ | 47.2b | (copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x) |
| ✓ | 45.3b | (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x) |
| ✓ | 47.3b | (copysign.f64 (log.f64 (+.f64 x x)) x) |
| ✓ | 58.1b | (copysign.f64 (log.f64 (neg.f64 x)) x) |
| ✓ | 30.8b | (copysign.f64 x x) |
Compiled 149 to 105 computations (29.5% saved)
| Inputs |
|---|
(copysign.f64 x x) |
(copysign.f64 (-.f64 (+.f64 1 x) 1) x) |
(copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x) |
(copysign.f64 (+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (*.f64 (*.f64 x x) x))) 1) x) x) |
(copysign.f64 (log1p.f64 x) x) |
(copysign.f64 (log.f64 (neg.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 1 x)) x) |
(copysign.f64 (log.f64 (+.f64 x x)) x) |
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x) |
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) |
(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x) |
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x) |
(copysign.f64 (+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x) x) |
(copysign.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x) |
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x) |
(copysign.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))) x) |
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x) |
(copysign.f64 (fma.f64 1/2 (*.f64 (/.f64 x (+.f64 1 x)) x) (log1p.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) |
(copysign.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)) 3) 1/3) x) |
(copysign.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) x) |
| Outputs |
|---|
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x) |
(copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x) |
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x) |
2 calls:
| 35.0ms | x |
| 12.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 3 | x |
| 0.0b | 3 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) |
Compiled 250 to 163 computations (34.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.707628587381786e-7 | 0.096078722210142 |
| 0.0ms | -13.760476058343864 | -1.855111918537601e-7 |
Compiled 17 to 12 computations (29.4% saved)
| Inputs |
|---|
(copysign.f64 x x) |
(copysign.f64 (-.f64 (+.f64 1 x) 1) x) |
(copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x) |
(copysign.f64 (+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (*.f64 (*.f64 x x) x))) 1) x) x) |
(copysign.f64 (log1p.f64 x) x) |
(copysign.f64 (log.f64 (neg.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 1 x)) x) |
(copysign.f64 (log.f64 (+.f64 x x)) x) |
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x) |
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) |
(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x) |
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x) |
(copysign.f64 (+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x) x) |
(copysign.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x) |
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x) |
(copysign.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))) x) |
| Outputs |
|---|
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x) |
(copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x) |
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x) |
1 calls:
| 26.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 3 | x |
Compiled 156 to 100 computations (35.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 3.7076285883754603e-7 | 0.09622660950140559 |
| 21.0ms | -473226.2475686782 | -1.8551119204582732e-7 |
| 34.0ms | 304× | body | 256 | valid |
Compiled 494 to 337 computations (31.8% saved)
| Inputs |
|---|
(copysign.f64 x x) |
(copysign.f64 (-.f64 (+.f64 1 x) 1) x) |
(copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x) |
(copysign.f64 (+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (*.f64 (*.f64 x x) x))) 1) x) x) |
(copysign.f64 (log1p.f64 x) x) |
(copysign.f64 (log.f64 (neg.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 1 x)) x) |
(copysign.f64 (log.f64 (+.f64 x x)) x) |
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x) |
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) |
(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x) |
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x) |
(copysign.f64 (+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x) x) |
(copysign.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
| Outputs |
|---|
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x) |
(copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x) |
(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x) |
1 calls:
| 24.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 3 | x |
Compiled 128 to 81 computations (36.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 0.09622660950140559 | 67918.2096242938 |
| 21.0ms | -473226.2475686782 | -1.8551119204582732e-7 |
| 34.0ms | 304× | body | 256 | valid |
Compiled 512 to 346 computations (32.4% saved)
| Inputs |
|---|
(copysign.f64 x x) |
(copysign.f64 (-.f64 (+.f64 1 x) 1) x) |
(copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x) |
(copysign.f64 (+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (*.f64 (*.f64 x x) x))) 1) x) x) |
(copysign.f64 (log1p.f64 x) x) |
(copysign.f64 (log.f64 (neg.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 1 x)) x) |
(copysign.f64 (log.f64 (+.f64 x x)) x) |
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x) |
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) |
(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x) |
| Outputs |
|---|
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x) |
(copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x) |
(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x) |
1 calls:
| 18.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 3 | x |
Compiled 85 to 49 computations (42.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 0.09622660950140559 | 67918.2096242938 |
| 21.0ms | -473226.2475686782 | -1.8551119204582732e-7 |
| 34.0ms | 304× | body | 256 | valid |
Compiled 452 to 296 computations (34.5% saved)
| Inputs |
|---|
(copysign.f64 x x) |
(copysign.f64 (-.f64 (+.f64 1 x) 1) x) |
(copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x) |
(copysign.f64 (+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (*.f64 (*.f64 x x) x))) 1) x) x) |
(copysign.f64 (log1p.f64 x) x) |
(copysign.f64 (log.f64 (neg.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 1 x)) x) |
(copysign.f64 (log.f64 (+.f64 x x)) x) |
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x) |
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) |
| Outputs |
|---|
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x) |
(copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x) |
(copysign.f64 (log.f64 (+.f64 x x)) x) |
1 calls:
| 17.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 3 | x |
Compiled 75 to 44 computations (41.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 0.09622660950140559 | 67918.2096242938 |
| 21.0ms | -473226.2475686782 | -1.8551119204582732e-7 |
| 34.0ms | 304× | body | 256 | valid |
Compiled 416 to 269 computations (35.3% saved)
| Inputs |
|---|
(copysign.f64 x x) |
(copysign.f64 (-.f64 (+.f64 1 x) 1) x) |
(copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x) |
(copysign.f64 (+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (*.f64 (*.f64 x x) x))) 1) x) x) |
(copysign.f64 (log1p.f64 x) x) |
(copysign.f64 (log.f64 (neg.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 1 x)) x) |
(copysign.f64 (log.f64 (+.f64 x x)) x) |
| Outputs |
|---|
(copysign.f64 (log.f64 (neg.f64 x)) x) |
(copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x) |
(copysign.f64 (log.f64 (+.f64 x x)) x) |
1 calls:
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 11.4b | 3 | x |
Compiled 60 to 34 computations (43.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 0.09622660950140559 | 67918.2096242938 |
| 20.0ms | -473226.2475686782 | -1.8551119204582732e-7 |
| 34.0ms | 304× | body | 256 | valid |
Compiled 406 to 259 computations (36.2% saved)
| Inputs |
|---|
(copysign.f64 x x) |
(copysign.f64 (-.f64 (+.f64 1 x) 1) x) |
(copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x) |
(copysign.f64 (+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (*.f64 (*.f64 x x) x))) 1) x) x) |
(copysign.f64 (log1p.f64 x) x) |
(copysign.f64 (log.f64 (neg.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 1 x)) x) |
| Outputs |
|---|
(copysign.f64 (log.f64 (neg.f64 x)) x) |
(copysign.f64 (log1p.f64 x) x) |
1 calls:
| 9.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 22.5b | 2 | x |
Compiled 54 to 31 computations (42.6% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 24.0ms | -473226.2475686782 | -1.8551119204582732e-7 |
| 23.0ms | 160× | body | 256 | valid |
Compiled 147 to 102 computations (30.6% saved)
| Inputs |
|---|
(copysign.f64 x x) |
(copysign.f64 (-.f64 (+.f64 1 x) 1) x) |
(copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x) |
(copysign.f64 (+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (*.f64 (*.f64 x x) x))) 1) x) x) |
(copysign.f64 (log1p.f64 x) x) |
| Outputs |
|---|
(copysign.f64 x x) |
(copysign.f64 (log1p.f64 x) x) |
1 calls:
| 8.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 26.5b | 2 | x |
Compiled 43 to 24 computations (44.2% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 0.09622660950140559 | 67918.2096242938 |
| 16.0ms | 144× | body | 256 | valid |
Compiled 116 to 75 computations (35.3% saved)
Total -30.4b remaining (-98.8%)
Threshold costs -30.4b (-98.8%)
| Inputs |
|---|
(copysign.f64 x x) |
(copysign.f64 (-.f64 (+.f64 1 x) 1) x) |
(copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x) |
(copysign.f64 (+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (*.f64 (*.f64 x x) x))) 1) x) x) |
| Outputs |
|---|
(copysign.f64 x x) |
1 calls:
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 30.8b | 1 | x |
Compiled 39 to 22 computations (43.6% saved)
| 1× | egg-herbie |
| 20× | +-commutative |
| 10× | *-commutative |
| 8× | sub-neg |
| 4× | neg-mul-1 |
| 4× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 739 |
| 1 | 99 | 739 |
| 2 | 107 | 739 |
| 3 | 110 | 739 |
| 4 | 111 | 739 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) -10) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) 4722366482869645/9444732965739290427392) (copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x) (copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x))) |
(if (<=.f64 x -1080863910568919/1125899906842624) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 4888387179533031/4611686018427387904) (copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x))) |
(if (<=.f64 x -1080863910568919/1125899906842624) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x) (copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x))) |
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x) (copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x))) |
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x) (copysign.f64 (log.f64 (+.f64 x x)) x))) |
(if (<=.f64 x -2) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x) (copysign.f64 (log.f64 (+.f64 x x)) x))) |
(if (<=.f64 x -1) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x)) |
(if (<=.f64 x 3602879701896397/2251799813685248) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x)) |
(copysign.f64 x x) |
| Outputs |
|---|
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) -10) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) 4722366482869645/9444732965739290427392) (copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x) (copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) -10) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) 4722366482869645/9444732965739290427392) (copysign.f64 (+.f64 x (*.f64 -1/6 (*.f64 x (*.f64 x x)))) x) (copysign.f64 (+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) -10) (copysign.f64 (log.f64 (/.f64 1 (+.f64 (*.f64 x -2) (/.f64 -1/2 x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) 4722366482869645/9444732965739290427392) (copysign.f64 (+.f64 x (*.f64 -1/6 (*.f64 x (*.f64 x x)))) x) (copysign.f64 (+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1) x))) |
(if (<=.f64 x -1080863910568919/1125899906842624) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 4888387179533031/4611686018427387904) (copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x))) |
(if (<=.f64 x -1080863910568919/1125899906842624) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 4888387179533031/4611686018427387904) (copysign.f64 (+.f64 x (*.f64 -1/6 (*.f64 x (*.f64 x x)))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x))) |
(if (<=.f64 x -1080863910568919/1125899906842624) (copysign.f64 (log.f64 (/.f64 1 (+.f64 (*.f64 x -2) (/.f64 -1/2 x)))) x) (if (<=.f64 x 4888387179533031/4611686018427387904) (copysign.f64 (+.f64 x (*.f64 -1/6 (*.f64 x (*.f64 x x)))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x))) |
(if (<=.f64 x -1080863910568919/1125899906842624) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x) (copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x))) |
(if (<=.f64 x -1080863910568919/1125899906842624) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 x (*.f64 -1/6 (*.f64 x (*.f64 x x)))) x) (copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x))) |
(if (<=.f64 x -1080863910568919/1125899906842624) (copysign.f64 (log.f64 (/.f64 1 (+.f64 (*.f64 x -2) (/.f64 -1/2 x)))) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 x (*.f64 -1/6 (*.f64 x (*.f64 x x)))) x) (copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x))) |
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x) (copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x))) |
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 x (*.f64 -1/6 (*.f64 x (*.f64 x x)))) x) (copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x))) |
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x) (copysign.f64 (log.f64 (+.f64 x x)) x))) |
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 x (*.f64 -1/6 (*.f64 x (*.f64 x x)))) x) (copysign.f64 (log.f64 (+.f64 x x)) x))) |
(if (<=.f64 x -2) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x) (copysign.f64 (log.f64 (+.f64 x x)) x))) |
(if (<=.f64 x -2) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 x (*.f64 -1/6 (*.f64 x (*.f64 x x)))) x) (copysign.f64 (log.f64 (+.f64 x x)) x))) |
(if (<=.f64 x -1) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x)) |
(if (<=.f64 x 3602879701896397/2251799813685248) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x)) |
(copysign.f64 x x) |
Compiled 277 to 179 computations (35.4% saved)
| 4× | egg-herbie |
| 1676× | associate-/r* |
| 1676× | associate-/r* |
| 1676× | associate-/r* |
| 1522× | associate-/r* |
| 1398× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 464 | 6546 |
| 1 | 1241 | 6196 |
| 2 | 4618 | 6184 |
| 0 | 305 | 3606 |
| 1 | 835 | 3258 |
| 2 | 3314 | 3258 |
| 0 | 464 | 6546 |
| 1 | 1241 | 6196 |
| 2 | 4618 | 6184 |
| 0 | 464 | 6546 |
| 1 | 1241 | 6196 |
| 2 | 4618 | 6184 |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
Compiled 297 to 216 computations (27.3% saved)
Compiled 269 to 150 computations (44.2% saved)
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