Time bar (total: 3.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 0 |
| 100% | 50% | 0% | 50% | 0% | 0% | 0% | 1 |
Compiled 17 to 13 computations (23.5% saved)
| 1.3s | 4135× | body | 1024 | valid |
| 467.0ms | 2051× | body | 512 | valid |
| 180.0ms | 1622× | body | 256 | valid |
| 180.0ms | 448× | body | 2048 | valid |
| 2× | egg-herbie |
| 92× | fma-def |
| 52× | associate--r+ |
| 48× | associate-+l- |
| 46× | +-commutative |
| 28× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 27 |
| 1 | 17 | 27 |
| 2 | 24 | 27 |
| 3 | 38 | 27 |
| 4 | 53 | 27 |
| 5 | 80 | 27 |
| 6 | 145 | 27 |
| 7 | 194 | 27 |
| 8 | 241 | 27 |
| 9 | 286 | 27 |
| 10 | 310 | 27 |
| 11 | 312 | 27 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) |
| Outputs |
|---|
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) |
Compiled 11 to 9 computations (18.2% saved)
| 1× | egg-herbie |
| 92× | fma-def |
| 52× | associate--r+ |
| 48× | associate-+l- |
| 46× | +-commutative |
| 28× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 27 |
| 1 | 17 | 27 |
| 2 | 24 | 27 |
| 3 | 38 | 27 |
| 4 | 53 | 27 |
| 5 | 80 | 27 |
| 6 | 145 | 27 |
| 7 | 194 | 27 |
| 8 | 241 | 27 |
| 9 | 286 | 27 |
| 10 | 310 | 27 |
| 11 | 312 | 27 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) |
| Outputs |
|---|
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) |
Compiled 10 to 8 computations (20% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 59.1b | (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) |
Compiled 10 to 8 computations (20% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (+.f64 1 x)) |
| ✓ | 0.0b | (sqrt.f64 (-.f64 1 x)) |
| ✓ | 7.0b | (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) |
Compiled 26 to 19 computations (26.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) |
| 2.0ms | x | @ | -inf | (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) |
| 0.0ms | x | @ | 0 | (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) |
| 0.0ms | x | @ | inf | (sqrt.f64 (-.f64 1 x)) |
| 0.0ms | x | @ | -inf | (sqrt.f64 (-.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 1450× | associate-*r/ |
| 1222× | associate-*l/ |
| 936× | *-commutative |
| 788× | associate-/r* |
| 484× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 49 |
| 1 | 213 | 49 |
| 2 | 2916 | 49 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) |
(sqrt.f64 (-.f64 1 x)) |
(sqrt.f64 (+.f64 1 x)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (-.f64 (*.f64 x x) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (-.f64 (*.f64 x x) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (-.f64 (*.f64 x x) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (-.f64 (*.f64 x x) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) 1) (sqrt.f64 (-.f64 (*.f64 x x) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (-.f64 (*.f64 x x) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 1 1/2)) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1/2)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x)))))))) |
| 1× | egg-herbie |
| 1202× | +-commutative |
| 1000× | associate-+l- |
| 966× | associate-+r- |
| 918× | associate--r+ |
| 528× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 478 | 9955 |
| 1 | 1201 | 9433 |
| 2 | 5715 | 9425 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x) |
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)) |
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))) |
1 |
(+.f64 (*.f64 -1/2 x) 1) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) 1)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) 1))) |
1 |
(+.f64 (*.f64 1/2 x) 1) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3))))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x))) |
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))) 1) |
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) |
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1) |
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) |
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) |
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) |
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 x (+.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))) |
(*.f64 (+.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4))) |
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (+.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))) |
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (+.f64 x x)) |
(*.f64 (/.f64 1 (+.f64 x (+.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) |
(*.f64 (/.f64 (+.f64 x x) (+.f64 x x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) |
(*.f64 (/.f64 (+.f64 x x) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))) (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) 3))) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 (*.f64 (+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (*.f64 (+.f64 1 x) (+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))))) |
(/.f64 1 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) |
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) |
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 x (+.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))) |
(/.f64 (+.f64 x (+.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (/.f64 (+.f64 x (+.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) |
(/.f64 (sqrt.f64 (+.f64 x x)) (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x x)))) |
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(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (-.f64 (*.f64 x x) (-.f64 x 1)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (sqrt.f64 (-.f64 1 x))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) 1) (sqrt.f64 (-.f64 (*.f64 x x) (-.f64 x 1)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (-.f64 (*.f64 x x) (-.f64 x 1)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (-.f64 1 x))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (sqrt.f64 (-.f64 1 x))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 1 1/2)) (sqrt.f64 (-.f64 1 x))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 x)))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1/2)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 1/2)) |
(pow.f64 (+.f64 1 x) 1/2) |
(pow.f64 (sqrt.f64 (+.f64 1 x)) 1) |
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2) |
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 3) |
(pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3) |
(fabs.f64 (sqrt.f64 (+.f64 1 x))) |
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x))))) |
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) |
(hypot.f64 1 (sqrt.f64 x)) |
(exp.f64 (*.f64 (log1p.f64 x) 1/2)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x)))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x) |
(fma.f64 1/8 (pow.f64 x 3) x) |
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)) |
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x)) |
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))) |
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 33/1024 (pow.f64 x 7) (fma.f64 1/8 (pow.f64 x 3) x))) |
1 |
(+.f64 (*.f64 -1/2 x) 1) |
(fma.f64 -1/2 x 1) |
(fma.f64 x -1/2 1) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) 1)) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 -1/2 x 1)) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 x -1/2 1)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) 1))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 -1/2 x (fma.f64 -1/16 (pow.f64 x 3) 1))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 x -1/2 (fma.f64 (pow.f64 x 3) -1/16 1))) |
1 |
(+.f64 (*.f64 1/2 x) 1) |
(fma.f64 1/2 x 1) |
(fma.f64 x 1/2 1) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1)) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 1)) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 1)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 1) (*.f64 (pow.f64 x 3) 1/16))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/16 1))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) |
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) |
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) |
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) |
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) |
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))) |
(fma.f64 2 (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))) |
(fma.f64 2 (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))) |
(fma.f64 2 (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))) |
(fma.f64 2 (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) |
(fma.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x))) |
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) |
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) |
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x))) |
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) |
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x))) |
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))) |
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(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (-.f64 (*.f64 x x) (-.f64 x 1)))) |
(/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (+.f64 x -1))) (cbrt.f64 (+.f64 (pow.f64 x 3) 1)))) |
(/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 (fma.f64 x x (-.f64 1 x))) (cbrt.f64 (+.f64 (pow.f64 x 3) 1)))) |
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 x))) |
(/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 (*.f64 x x)))) |
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (-.f64 (*.f64 x x) (-.f64 x 1)))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1)) (sqrt.f64 (-.f64 (*.f64 x x) (+.f64 x -1)))) |
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (sqrt.f64 (-.f64 1 x))) |
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 x))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) 1) (sqrt.f64 (-.f64 (*.f64 x x) (-.f64 x 1)))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1)) (sqrt.f64 (-.f64 (*.f64 x x) (+.f64 x -1)))) |
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (-.f64 (*.f64 x x) (-.f64 x 1)))) |
(/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (+.f64 x -1))) (cbrt.f64 (+.f64 (pow.f64 x 3) 1)))) |
(/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 (fma.f64 x x (-.f64 1 x))) (cbrt.f64 (+.f64 (pow.f64 x 3) 1)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (-.f64 1 x))) |
(/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 (*.f64 x x)))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (sqrt.f64 (-.f64 1 x))) |
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 x))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 1 1/2)) (sqrt.f64 (-.f64 1 x))) |
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 x))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)) |
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 x))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x))) |
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x)))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) |
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x)))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 x)))) |
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))) |
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1/2)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 1/2)) |
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))) |
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))) |
(pow.f64 (+.f64 1 x) 1/2) |
(sqrt.f64 (+.f64 x 1)) |
(pow.f64 (sqrt.f64 (+.f64 1 x)) 1) |
(sqrt.f64 (+.f64 x 1)) |
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2) |
(sqrt.f64 (+.f64 x 1)) |
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 3) |
(sqrt.f64 (+.f64 x 1)) |
(pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3) |
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) |
(fabs.f64 (sqrt.f64 (+.f64 1 x))) |
(sqrt.f64 (+.f64 x 1)) |
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x)))) |
(sqrt.f64 (+.f64 x 1)) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x))))) |
(sqrt.f64 (+.f64 x 1)) |
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2)) |
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) |
(sqrt.f64 (+.f64 x 1)) |
(hypot.f64 1 (sqrt.f64 x)) |
(exp.f64 (*.f64 (log1p.f64 x) 1/2)) |
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2) |
(sqrt.f64 (exp.f64 (log1p.f64 x))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x)))) |
(sqrt.f64 (+.f64 x 1)) |
Compiled 7416 to 5633 computations (24% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 312 | 3 | 315 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 312 | 4 | 316 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) |
| ✓ | 59.1b | (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) |
| ▶ | 0.3b | (+.f64 (*.f64 1/8 (pow.f64 x 3)) x) |
| 0.5b | x |
Compiled 34 to 25 computations (26.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 1/8 (pow.f64 x 3)) |
Compiled 19 to 14 computations (26.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 1/8 (pow.f64 x 3)) |
| 0.0ms | x | @ | 0 | (*.f64 1/8 (pow.f64 x 3)) |
| 0.0ms | x | @ | inf | (*.f64 1/8 (pow.f64 x 3)) |
| 1× | batch-egg-rewrite |
| 1236× | add-sqr-sqrt |
| 1204× | *-un-lft-identity |
| 1142× | add-cube-cbrt |
| 1134× | add-cbrt-cube |
| 1116× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 149 | 13 |
| 2 | 1595 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/8 (pow.f64 x 3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/8 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/8 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/64))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/8 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/8 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/8 (pow.f64 x 3)))))))) |
| 1× | egg-herbie |
| 1680× | distribute-rgt-in |
| 1656× | distribute-lft-in |
| 1018× | associate-*r* |
| 950× | associate-+r+ |
| 928× | associate-+l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 275 |
| 1 | 97 | 209 |
| 2 | 368 | 143 |
| 3 | 2474 | 143 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 1/8 (pow.f64 x 3))) 1) |
(pow.f64 (*.f64 1/8 (pow.f64 x 3)) 1) |
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/8)) 2) |
(pow.f64 (*.f64 x 1/2) 3) |
(pow.f64 (pow.f64 (*.f64 1/8 (pow.f64 x 3)) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/64)) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/8)) |
(cbrt.f64 (pow.f64 (*.f64 1/8 (pow.f64 x 3)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3)))) |
(exp.f64 (log.f64 (*.f64 1/8 (pow.f64 x 3)))) |
(log1p.f64 (expm1.f64 (*.f64 1/8 (pow.f64 x 3)))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (*.f64 1/8 (pow.f64 x 3))) 1) |
(+.f64 1 (-.f64 (*.f64 1/8 (pow.f64 x 3)) 1)) |
(+.f64 (pow.f64 (*.f64 x 1/2) 3) 0) |
(*.f64 1/8 (pow.f64 x 3)) |
(pow.f64 (*.f64 1/8 (pow.f64 x 3)) 1) |
(+.f64 1 (-.f64 (*.f64 1/8 (pow.f64 x 3)) 1)) |
(+.f64 (pow.f64 (*.f64 x 1/2) 3) 0) |
(*.f64 1/8 (pow.f64 x 3)) |
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/8)) 2) |
(+.f64 1 (-.f64 (*.f64 1/8 (pow.f64 x 3)) 1)) |
(+.f64 (pow.f64 (*.f64 x 1/2) 3) 0) |
(*.f64 1/8 (pow.f64 x 3)) |
(pow.f64 (*.f64 x 1/2) 3) |
(+.f64 1 (-.f64 (*.f64 1/8 (pow.f64 x 3)) 1)) |
(+.f64 (pow.f64 (*.f64 x 1/2) 3) 0) |
(*.f64 1/8 (pow.f64 x 3)) |
(pow.f64 (pow.f64 (*.f64 1/8 (pow.f64 x 3)) 3) 1/3) |
(+.f64 1 (-.f64 (*.f64 1/8 (pow.f64 x 3)) 1)) |
(+.f64 (pow.f64 (*.f64 x 1/2) 3) 0) |
(*.f64 1/8 (pow.f64 x 3)) |
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/64)) |
(+.f64 1 (-.f64 (*.f64 1/8 (pow.f64 x 3)) 1)) |
(+.f64 (pow.f64 (*.f64 x 1/2) 3) 0) |
(*.f64 1/8 (pow.f64 x 3)) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/8)) |
(+.f64 1 (-.f64 (*.f64 1/8 (pow.f64 x 3)) 1)) |
(+.f64 (pow.f64 (*.f64 x 1/2) 3) 0) |
(*.f64 1/8 (pow.f64 x 3)) |
(cbrt.f64 (pow.f64 (*.f64 1/8 (pow.f64 x 3)) 3)) |
(+.f64 1 (-.f64 (*.f64 1/8 (pow.f64 x 3)) 1)) |
(+.f64 (pow.f64 (*.f64 x 1/2) 3) 0) |
(*.f64 1/8 (pow.f64 x 3)) |
(expm1.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3)))) |
(+.f64 1 (-.f64 (*.f64 1/8 (pow.f64 x 3)) 1)) |
(+.f64 (pow.f64 (*.f64 x 1/2) 3) 0) |
(*.f64 1/8 (pow.f64 x 3)) |
(exp.f64 (log.f64 (*.f64 1/8 (pow.f64 x 3)))) |
(+.f64 1 (-.f64 (*.f64 1/8 (pow.f64 x 3)) 1)) |
(+.f64 (pow.f64 (*.f64 x 1/2) 3) 0) |
(*.f64 1/8 (pow.f64 x 3)) |
(log1p.f64 (expm1.f64 (*.f64 1/8 (pow.f64 x 3)))) |
(+.f64 1 (-.f64 (*.f64 1/8 (pow.f64 x 3)) 1)) |
(+.f64 (pow.f64 (*.f64 x 1/2) 3) 0) |
(*.f64 1/8 (pow.f64 x 3)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (+.f64 x 1)) |
| ✓ | 0.0b | (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) |
| 0.0b | (sqrt.f64 (-.f64 1 x)) |
Compiled 42 to 28 computations (33.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) |
| 0.0ms | x | @ | -inf | (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) |
| 0.0ms | x | @ | 0 | (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) |
| 0.0ms | x | @ | -inf | (sqrt.f64 (+.f64 x 1)) |
| 0.0ms | x | @ | inf | (sqrt.f64 (+.f64 x 1)) |
| 1× | batch-egg-rewrite |
| 1358× | associate-*r/ |
| 1126× | associate-*l/ |
| 932× | *-commutative |
| 760× | distribute-lft-in |
| 568× | associate-/r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 38 |
| 1 | 215 | 38 |
| 2 | 2974 | 38 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) |
(sqrt.f64 (+.f64 x 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 1 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (-.f64 1 x) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) 1) (sqrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) 1) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))))) |
| 1× | egg-herbie |
| 1318× | associate-*r/ |
| 1070× | associate-+l+ |
| 1044× | associate-*l/ |
| 940× | associate-+r+ |
| 848× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 354 | 7172 |
| 1 | 977 | 6932 |
| 2 | 4086 | 6900 |
| 1× | node limit |
| Inputs |
|---|
2 |
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2))) |
(+.f64 (*.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))) |
(+.f64 (*.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -21/512 (pow.f64 x 6))))) |
1 |
(+.f64 (*.f64 1/2 x) 1) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3))))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 1) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (sqrt.f64 (-.f64 1 x)))) |
(-.f64 (/.f64 (+.f64 x 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (-.f64 1 x) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))) 1) |
(-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 1) |
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) |
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1) |
(*.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4))) |
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) |
(*.f64 (+.f64 x x) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) |
(*.f64 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (+.f64 x x)) |
(*.f64 (/.f64 1 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) |
(*.f64 (/.f64 (+.f64 x x) (+.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) |
(*.f64 (/.f64 (+.f64 x x) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (+.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (-.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) (-.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))) (+.f64 (+.f64 x x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) 3))) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 (*.f64 (-.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) (-.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) (*.f64 (+.f64 x 1) (-.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))) |
(/.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) |
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) |
(/.f64 (+.f64 x x) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) |
(/.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) (/.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (/.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))))) |
(/.f64 (sqrt.f64 (+.f64 x x)) (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x x)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (/.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 x x)) (cbrt.f64 (+.f64 x x))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (+.f64 x x)))) |
(/.f64 (-.f64 1 (+.f64 x (+.f64 x 1))) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (-.f64 1 x) 2)) (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 x (-.f64 2 x)))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) 3/2) 3) (pow.f64 (pow.f64 (-.f64 1 x) 3/2) 3)) (*.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3) (-.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)) (*.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)) (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (+.f64 x 1) (-.f64 1 x)))))) |
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (fma.f64 x x -1)) (*.f64 (+.f64 x -1) (-.f64 1 (*.f64 x x)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (fma.f64 x x -1))) |
(/.f64 (-.f64 (*.f64 (fma.f64 x x -1) (+.f64 1 (fma.f64 x x x))) (*.f64 (+.f64 x -1) (-.f64 1 (pow.f64 x 3)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (+.f64 x -1) (+.f64 1 (fma.f64 x x x))))) |
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (+.f64 1 (pow.f64 x 3))) (*.f64 (-.f64 1 (*.f64 x x)) (fma.f64 x x (-.f64 1 x)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (+.f64 x 1) (fma.f64 x x (-.f64 1 x))))) |
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x))) (*.f64 (fma.f64 x x (-.f64 1 x)) (-.f64 1 (pow.f64 x 3)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (fma.f64 x x x))))) |
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (neg.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) |
(/.f64 (*.f64 1 (-.f64 1 (+.f64 x (+.f64 x 1)))) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (*.f64 1 (neg.f64 (+.f64 x x))) (neg.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) |
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (neg.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) |
(/.f64 (*.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (sqrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) |
(/.f64 (*.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 (+.f64 x x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (cbrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 x x))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) |
(/.f64 (*.f64 (-.f64 1 (+.f64 x (+.f64 x 1))) 1) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 x x)) 1) (neg.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) 1) (neg.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4))) (sqrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 x x)) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (+.f64 x (-.f64 2 x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (+.f64 x 1) (-.f64 1 x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 x 1) (fma.f64 x x -1)) (*.f64 (+.f64 x -1) (-.f64 1 (*.f64 x x)))) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (fma.f64 x x -1)) |
(/.f64 (*.f64 (-.f64 (*.f64 (fma.f64 x x -1) (+.f64 1 (fma.f64 x x x))) (*.f64 (+.f64 x -1) (-.f64 1 (pow.f64 x 3)))) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (*.f64 (+.f64 x -1) (+.f64 1 (fma.f64 x x x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 x 1) (+.f64 1 (pow.f64 x 3))) (*.f64 (-.f64 1 (*.f64 x x)) (fma.f64 x x (-.f64 1 x)))) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (*.f64 (+.f64 x 1) (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x))) (*.f64 (fma.f64 x x (-.f64 1 x)) (-.f64 1 (pow.f64 x 3)))) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (*.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (fma.f64 x x x)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) 3/2) 3) (pow.f64 (pow.f64 (-.f64 1 x) 3/2) 3)) (/.f64 1 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) (+.f64 (pow.f64 (+.f64 x 1) 3) (-.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)) (/.f64 1 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) |
(/.f64 (/.f64 (+.f64 x x) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) |
(/.f64 (/.f64 (+.f64 x x) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) |
(/.f64 (/.f64 (+.f64 x x) (*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) |
(/.f64 (/.f64 (+.f64 x x) (+.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4))) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) 1) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (sqrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) (sqrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (*.f64 (cbrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) (cbrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))) (cbrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) |
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1) |
(pow.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) 2) |
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 3) |
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2)) |
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))) |
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) |
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) |
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) |
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) |
(fma.f64 1 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) |
(fma.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 x 1))) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 (-.f64 1 x))) |
(fma.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1))) |
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 x))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1) |
(*.f64 1 (sqrt.f64 (+.f64 x 1))) |
(*.f64 (sqrt.f64 (+.f64 x 1)) 1) |
(*.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 1 1/2)) |
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4)) |
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1))) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x 1)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) 1/2)) |
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1))) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (*.f64 1 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x -1))) |
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 x -1))) |
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x -1))) |
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) 1) (sqrt.f64 (+.f64 x -1))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) 1) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 x -1))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(pow.f64 (+.f64 x 1) 1/2) |
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1) |
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2) |
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3) |
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3) |
(fabs.f64 (sqrt.f64 (+.f64 x 1))) |
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1))))) |
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) |
(hypot.f64 1 (sqrt.f64 x)) |
(exp.f64 (*.f64 (log1p.f64 x) 1/2)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1)))) |
| Outputs |
|---|
2 |
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2))) |
(+.f64 2 (*.f64 -1/4 (*.f64 x x))) |
(fma.f64 -1/4 (*.f64 x x) 2) |
(+.f64 (*.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))) |
(fma.f64 -5/64 (pow.f64 x 4) (+.f64 2 (*.f64 -1/4 (*.f64 x x)))) |
(fma.f64 -5/64 (pow.f64 x 4) (fma.f64 -1/4 (*.f64 x x) 2)) |
(+.f64 (*.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -21/512 (pow.f64 x 6))))) |
(fma.f64 -5/64 (pow.f64 x 4) (+.f64 2 (fma.f64 -1/4 (*.f64 x x) (*.f64 -21/512 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -5/64 (pow.f64 x 4) (fma.f64 -1/4 (*.f64 x x) 2)) (*.f64 -21/512 (pow.f64 x 6))) |
(+.f64 (fma.f64 -21/512 (pow.f64 x 6) (*.f64 x (*.f64 x -1/4))) (fma.f64 -5/64 (pow.f64 x 4) 2)) |
1 |
(+.f64 (*.f64 1/2 x) 1) |
(fma.f64 1/2 x 1) |
(fma.f64 x 1/2 1) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1)) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 1)) |
(fma.f64 (*.f64 x x) -1/8 (fma.f64 x 1/2 1)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 1) (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 (*.f64 x x) -1/8 (fma.f64 x 1/2 (fma.f64 1/16 (pow.f64 x 3) 1))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 1) |
(+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) |
(-.f64 (/.f64 (+.f64 x 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (-.f64 1 x) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))) 1) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))) |
(-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 1) |
(+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) |
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) |
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1) |
(+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) |
(*.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4))) |
(pow.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) 2) |
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) |
(+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) |
(*.f64 (+.f64 x x) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) |
(/.f64 (*.f64 (+.f64 x x) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) |
(/.f64 2 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)) |
(/.f64 (*.f64 -2 x) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) 1) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (-.f64 1 x) (+.f64 x 1))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (-.f64 1 x) (+.f64 x 1))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 2 (+.f64 (-.f64 x x) (sqrt.f64 (*.f64 (-.f64 1 x) (+.f64 x 1)))))) |
(*.f64 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (+.f64 x x)) |
(/.f64 (*.f64 (+.f64 x x) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) |
(/.f64 2 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)) |
(/.f64 (*.f64 -2 x) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 1 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) 1) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (-.f64 1 x) (+.f64 x 1))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (-.f64 1 x) (+.f64 x 1))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 2 (+.f64 (-.f64 x x) (sqrt.f64 (*.f64 (-.f64 1 x) (+.f64 x 1)))))) |
(*.f64 (/.f64 (+.f64 x x) (+.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) |
(*.f64 (/.f64 (+.f64 x x) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (+.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) |
(*.f64 (/.f64 (+.f64 x x) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (+.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (-.f64 1 x) (+.f64 x 1))))) |
(*.f64 (/.f64 (+.f64 x x) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (+.f64 x (+.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (-.f64 1 x) (+.f64 x 1)))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (-.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) (-.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))) (+.f64 (+.f64 x x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (-.f64 1 (+.f64 x (sqrt.f64 (*.f64 (-.f64 1 x) (+.f64 x 1))))) (-.f64 1 (+.f64 x (sqrt.f64 (*.f64 (-.f64 1 x) (+.f64 x 1)))))))) (+.f64 x (+.f64 x (sqrt.f64 (*.f64 (-.f64 1 x) (+.f64 x 1)))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (-.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (-.f64 1 x) (+.f64 x 1)))) (-.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (-.f64 1 x) (+.f64 x 1))))))) (fma.f64 2 x (sqrt.f64 (*.f64 (-.f64 1 x) (+.f64 x 1))))) |
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(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (-.f64 1 x) (+.f64 x 1))))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)) (*.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (-.f64 1 x) (+.f64 x 1)))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)) (*.f64 (-.f64 2 (+.f64 (-.f64 x x) (sqrt.f64 (*.f64 (-.f64 1 x) (+.f64 x 1))))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) |
(/.f64 (/.f64 (+.f64 x x) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) |
(/.f64 (*.f64 (+.f64 x x) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) |
(/.f64 2 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)) |
(/.f64 (*.f64 -2 x) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (/.f64 (+.f64 x x) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) |
(/.f64 (*.f64 (+.f64 x x) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) |
(/.f64 2 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)) |
(/.f64 (*.f64 -2 x) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (/.f64 (+.f64 x x) (*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) |
(/.f64 (*.f64 (+.f64 x x) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) |
(/.f64 2 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)) |
(/.f64 (*.f64 -2 x) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (/.f64 (+.f64 x x) (+.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4))) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4))) |
(*.f64 (/.f64 2 (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4))) (/.f64 x (+.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)))) |
(/.f64 2 (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4))) x)) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) 1) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) 1) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (-.f64 1 x) (+.f64 x 1))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (-.f64 1 x) (+.f64 x 1))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 2 (+.f64 (-.f64 x x) (sqrt.f64 (*.f64 (-.f64 1 x) (+.f64 x 1)))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (sqrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) (sqrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) 1) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (-.f64 1 x) (+.f64 x 1))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (-.f64 1 x) (+.f64 x 1))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 2 (+.f64 (-.f64 x x) (sqrt.f64 (*.f64 (-.f64 1 x) (+.f64 x 1)))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (*.f64 (cbrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) (cbrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))) (cbrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) 1) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (-.f64 1 x) (+.f64 x 1))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (-.f64 1 x) (+.f64 x 1))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 2 (+.f64 (-.f64 x x) (sqrt.f64 (*.f64 (-.f64 1 x) (+.f64 x 1)))))) |
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1) |
(+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) |
(pow.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) 2) |
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 3) |
(+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) |
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3) 1/3) |
(+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) |
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2)) |
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) 2)) |
(fabs.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))) |
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))) |
(+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) |
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3)) |
(+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) |
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) |
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) |
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) |
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) |
(+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) |
(fma.f64 1 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) |
(+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) |
(fma.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 x 1))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (-.f64 1 x) 1/2)) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 (-.f64 1 x))) |
(+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) |
(fma.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1))) |
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 x))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1) |
(sqrt.f64 (+.f64 x 1)) |
(*.f64 1 (sqrt.f64 (+.f64 x 1))) |
(sqrt.f64 (+.f64 x 1)) |
(*.f64 (sqrt.f64 (+.f64 x 1)) 1) |
(sqrt.f64 (+.f64 x 1)) |
(*.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 1 1/2)) |
(sqrt.f64 (+.f64 x 1)) |
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4)) |
(sqrt.f64 (+.f64 x 1)) |
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1))) |
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x 1)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x 1)))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1))) |
(sqrt.f64 (+.f64 x 1)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2)) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x 1)))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) 1/2)) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x 1)))) |
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1))) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (*.f64 1 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x -1))) |
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1))) |
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 x -1))) |
(/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 (+.f64 x -1)) (cbrt.f64 (fma.f64 x x -1)))) |
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (fma.f64 x x -1))) |
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 (fma.f64 x x (-.f64 1 x))) (cbrt.f64 (+.f64 1 (pow.f64 x 3))))) |
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) |
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x -1))) |
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1))) |
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) 1) (sqrt.f64 (+.f64 x -1))) |
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) 1) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 x -1))) |
(/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 (+.f64 x -1)) (cbrt.f64 (fma.f64 x x -1)))) |
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (fma.f64 x x -1))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 (fma.f64 x x (-.f64 1 x))) (cbrt.f64 (+.f64 1 (pow.f64 x 3))))) |
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) |
(pow.f64 (+.f64 x 1) 1/2) |
(sqrt.f64 (+.f64 x 1)) |
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1) |
(sqrt.f64 (+.f64 x 1)) |
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2) |
(sqrt.f64 (+.f64 x 1)) |
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3) |
(sqrt.f64 (+.f64 x 1)) |
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3) |
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) |
(fabs.f64 (sqrt.f64 (+.f64 x 1))) |
(sqrt.f64 (+.f64 x 1)) |
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) |
(sqrt.f64 (+.f64 x 1)) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1))))) |
(sqrt.f64 (+.f64 x 1)) |
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) |
(sqrt.f64 (+.f64 x 1)) |
(hypot.f64 1 (sqrt.f64 x)) |
(exp.f64 (*.f64 (log1p.f64 x) 1/2)) |
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2) |
(sqrt.f64 (exp.f64 (log1p.f64 x))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1)))) |
(sqrt.f64 (+.f64 x 1)) |
Compiled 7769 to 5292 computations (31.9% saved)
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 293 | 1 | 294 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 1 | 2 |
| Total | 294 | 4 | 298 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) |
| ▶ | 0.3b | (/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (*.f64 x x)))) |
| ✓ | 59.1b | (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) |
| 0.5b | x |
Compiled 38 to 27 computations (28.9% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 -1/4 (*.f64 x x)) |
Compiled 33 to 16 computations (51.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 -1/4 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (*.f64 -1/4 (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (*.f64 -1/4 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1078× | add-sqr-sqrt |
| 1058× | *-un-lft-identity |
| 1006× | pow1 |
| 990× | add-cube-cbrt |
| 982× | add-cbrt-cube |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 122 | 13 |
| 2 | 1411 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/4 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/4 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/4 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/4 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/4 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/16 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/4) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/4 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/4 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1470× | distribute-rgt-in |
| 1446× | distribute-lft-in |
| 1164× | log-prod |
| 760× | associate-*r* |
| 696× | associate-+r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 299 |
| 1 | 93 | 299 |
| 2 | 348 | 299 |
| 3 | 1913 | 299 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/4 (pow.f64 x 2)) |
(*.f64 -1/4 (pow.f64 x 2)) |
(*.f64 -1/4 (pow.f64 x 2)) |
(*.f64 -1/4 (pow.f64 x 2)) |
(*.f64 -1/4 (pow.f64 x 2)) |
(*.f64 -1/4 (pow.f64 x 2)) |
(*.f64 -1/4 (pow.f64 x 2)) |
(*.f64 -1/4 (pow.f64 x 2)) |
(*.f64 -1/4 (pow.f64 x 2)) |
(*.f64 -1/4 (pow.f64 x 2)) |
(*.f64 -1/4 (pow.f64 x 2)) |
(*.f64 -1/4 (pow.f64 x 2)) |
(-.f64 (+.f64 1 (*.f64 -1/4 (*.f64 x x))) 1) |
(pow.f64 (*.f64 -1/4 (*.f64 x x)) 1) |
(pow.f64 (*.f64 x (sqrt.f64 -1/4)) 2) |
(pow.f64 (cbrt.f64 (*.f64 -1/4 (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (*.f64 -1/4 (*.f64 x x)) 3) 1/3) |
(sqrt.f64 (*.f64 1/16 (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 -1/4) (*.f64 x x))) |
(cbrt.f64 (pow.f64 (*.f64 -1/4 (*.f64 x x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 -1/4 (*.f64 x x)))) |
(exp.f64 (log.f64 (*.f64 -1/4 (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (*.f64 -1/4 (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 -1/4 (pow.f64 x 2)) |
(*.f64 -1/4 (*.f64 x x)) |
(*.f64 x (*.f64 -1/4 x)) |
(*.f64 -1/4 (pow.f64 x 2)) |
(*.f64 -1/4 (*.f64 x x)) |
(*.f64 x (*.f64 -1/4 x)) |
(*.f64 -1/4 (pow.f64 x 2)) |
(*.f64 -1/4 (*.f64 x x)) |
(*.f64 x (*.f64 -1/4 x)) |
(*.f64 -1/4 (pow.f64 x 2)) |
(*.f64 -1/4 (*.f64 x x)) |
(*.f64 x (*.f64 -1/4 x)) |
(*.f64 -1/4 (pow.f64 x 2)) |
(*.f64 -1/4 (*.f64 x x)) |
(*.f64 x (*.f64 -1/4 x)) |
(*.f64 -1/4 (pow.f64 x 2)) |
(*.f64 -1/4 (*.f64 x x)) |
(*.f64 x (*.f64 -1/4 x)) |
(*.f64 -1/4 (pow.f64 x 2)) |
(*.f64 -1/4 (*.f64 x x)) |
(*.f64 x (*.f64 -1/4 x)) |
(*.f64 -1/4 (pow.f64 x 2)) |
(*.f64 -1/4 (*.f64 x x)) |
(*.f64 x (*.f64 -1/4 x)) |
(*.f64 -1/4 (pow.f64 x 2)) |
(*.f64 -1/4 (*.f64 x x)) |
(*.f64 x (*.f64 -1/4 x)) |
(*.f64 -1/4 (pow.f64 x 2)) |
(*.f64 -1/4 (*.f64 x x)) |
(*.f64 x (*.f64 -1/4 x)) |
(*.f64 -1/4 (pow.f64 x 2)) |
(*.f64 -1/4 (*.f64 x x)) |
(*.f64 x (*.f64 -1/4 x)) |
(*.f64 -1/4 (pow.f64 x 2)) |
(*.f64 -1/4 (*.f64 x x)) |
(*.f64 x (*.f64 -1/4 x)) |
(-.f64 (+.f64 1 (*.f64 -1/4 (*.f64 x x))) 1) |
(*.f64 -1/4 (*.f64 x x)) |
(*.f64 x (*.f64 -1/4 x)) |
(pow.f64 (*.f64 -1/4 (*.f64 x x)) 1) |
(*.f64 -1/4 (*.f64 x x)) |
(*.f64 x (*.f64 -1/4 x)) |
(pow.f64 (*.f64 x (sqrt.f64 -1/4)) 2) |
(*.f64 -1/4 (*.f64 x x)) |
(*.f64 x (*.f64 -1/4 x)) |
(pow.f64 (cbrt.f64 (*.f64 -1/4 (*.f64 x x))) 3) |
(*.f64 -1/4 (*.f64 x x)) |
(*.f64 x (*.f64 -1/4 x)) |
(pow.f64 (pow.f64 (*.f64 -1/4 (*.f64 x x)) 3) 1/3) |
(*.f64 -1/4 (*.f64 x x)) |
(*.f64 x (*.f64 -1/4 x)) |
(sqrt.f64 (*.f64 1/16 (pow.f64 x 4))) |
(*.f64 -1/4 (*.f64 x x)) |
(*.f64 x (*.f64 -1/4 x)) |
(log.f64 (pow.f64 (exp.f64 -1/4) (*.f64 x x))) |
(*.f64 -1/4 (*.f64 x x)) |
(*.f64 x (*.f64 -1/4 x)) |
(cbrt.f64 (pow.f64 (*.f64 -1/4 (*.f64 x x)) 3)) |
(*.f64 -1/4 (*.f64 x x)) |
(*.f64 x (*.f64 -1/4 x)) |
(expm1.f64 (log1p.f64 (*.f64 -1/4 (*.f64 x x)))) |
(*.f64 -1/4 (*.f64 x x)) |
(*.f64 x (*.f64 -1/4 x)) |
(exp.f64 (log.f64 (*.f64 -1/4 (*.f64 x x)))) |
(*.f64 -1/4 (*.f64 x x)) |
(*.f64 x (*.f64 -1/4 x)) |
(log1p.f64 (expm1.f64 (*.f64 -1/4 (*.f64 x x)))) |
(*.f64 -1/4 (*.f64 x x)) |
(*.f64 x (*.f64 -1/4 x)) |
Compiled 181 to 106 computations (41.4% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 14 | 0 | 14 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 14 | 4 | 18 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) |
| ✓ | 0.3b | (/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (*.f64 x x)))) |
| ✓ | 59.1b | (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) |
| 0.5b | x |
Compiled 38 to 27 computations (28.9% saved)
Compiled 1 to 1 computations (0% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 3 | 3 |
| Total | 0 | 4 | 4 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) |
| ✓ | 0.3b | (/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (*.f64 x x)))) |
| ✓ | 59.1b | (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) |
| 0.5b | x |
Compiled 38 to 27 computations (28.9% saved)
| Inputs |
|---|
x |
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (*.f64 x x)))) |
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x) |
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) |
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) |
| Outputs |
|---|
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) |
2 calls:
| 4.0ms | x |
| 2.0ms | (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) |
Compiled 54 to 37 computations (31.5% saved)
Total -59.1b remaining (-21973.5%)
Threshold costs -59.1b (-21973.5%)
| Inputs |
|---|
x |
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (*.f64 x x)))) |
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x) |
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) |
| Outputs |
|---|
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (*.f64 x x)))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | x |
| 0.3b | 1 | (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) |
Compiled 41 to 29 computations (29.3% saved)
| 1× | egg-herbie |
| 10× | +-commutative |
| 4× | sub-neg |
| 4× | *-commutative |
| 2× | 1-exp |
| 2× | neg-mul-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 71 |
| 1 | 26 | 71 |
| 2 | 30 | 71 |
| 3 | 32 | 71 |
| 4 | 33 | 71 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) |
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (*.f64 x x)))) |
x |
| Outputs |
|---|
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) |
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (*.f64 x x)))) |
x |
Compiled 28 to 19 computations (32.1% saved)
| 1× | egg-herbie |
| 1202× | +-commutative |
| 1000× | associate-+l- |
| 966× | associate-+r- |
| 918× | associate--r+ |
| 528× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 478 | 9955 |
| 1 | 1201 | 9433 |
| 2 | 5715 | 9425 |
| 1× | node limit |
Compiled 72 to 48 computations (33.3% saved)
Compiled 26 to 16 computations (38.5% saved)
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