Time bar (total: 4.3s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 0% | 75% | 25% | 3 |
| 25% | 37.5% | 37.5% | 4 |
| 37.5% | 18.7% | 43.8% | 5 |
| 43.7% | 9.4% | 46.9% | 6 |
| 46.9% | 4.7% | 48.5% | 7 |
| 48.4% | 2.3% | 49.2% | 8 |
| 49.2% | 1.2% | 49.6% | 9 |
| 49.6% | 0.6% | 49.8% | 10 |
| 49.8% | 0.3% | 49.9% | 11 |
| 49.9% | 0.1% | 50% | 12 |
| 49.9% | 0.1% | 50% | 13 |
| 49.9% | 0% | 50% | 14 |
Compiled 13 to 11 computations (15.4% saved)
| 1.1s | 8256× | body | 128 | valid |
| 0.0ms | 4× | body | 128 | invalid |
| 2× | egg-herbie |
| 396× | fma-neg_binary64 |
| 375× | fma-def_binary64 |
| 260× | div-sub_binary64 |
| 121× | times-frac_binary64 |
| 111× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 17 |
| 1 | 19 | 17 |
| 2 | 25 | 17 |
| 3 | 35 | 17 |
| 4 | 58 | 17 |
| 5 | 82 | 17 |
| 6 | 117 | 17 |
| 7 | 189 | 17 |
| 8 | 356 | 17 |
| 9 | 577 | 17 |
| 10 | 789 | 17 |
| 11 | 1134 | 17 |
| 12 | 1524 | 17 |
| 13 | 1940 | 17 |
| 14 | 2181 | 17 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))) |
Compiled 12 to 10 computations (16.7% saved)
| 1× | egg-herbie |
| 396× | fma-neg_binary64 |
| 375× | fma-def_binary64 |
| 260× | div-sub_binary64 |
| 121× | times-frac_binary64 |
| 111× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 17 |
| 1 | 19 | 17 |
| 2 | 25 | 17 |
| 3 | 35 | 17 |
| 4 | 58 | 17 |
| 5 | 82 | 17 |
| 6 | 117 | 17 |
| 7 | 189 | 17 |
| 8 | 356 | 17 |
| 9 | 577 | 17 |
| 10 | 789 | 17 |
| 11 | 1134 | 17 |
| 12 | 1524 | 17 |
| 13 | 1940 | 17 |
| 14 | 2181 | 17 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))) |
Compiled 23 to 19 computations (17.4% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
Compiled 24 to 20 computations (16.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| ✓ | 0.0b | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
| ✓ | 0.0b | (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| 1.0ms | x | @ | inf | (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 913× | log1p-expm1-u_binary64 |
| 913× | expm1-log1p-u_binary64 |
| 88× | add-sqr-sqrt_binary64 |
| 85× | *-un-lft-identity_binary64 |
| 85× | pow1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 36 |
| 1 | 175 | 36 |
| 2 | 2422 | 36 |
| 1× | node limit |
| Inputs |
|---|
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (+.f64 (neg.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 (-.f64 1 x) (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (cbrt.f64 (-.f64 1 x)) (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 x) (+.f64 (neg.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (/.f64 1 (+.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 x)) (hypot.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 (neg.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) |
| 1× | egg-herbie |
| 271× | fma-def_binary64 |
| 265× | cancel-sign-sub-inv_binary64 |
| 258× | fma-neg_binary64 |
| 253× | associate-/r*_binary64 |
| 221× | times-frac_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 532 |
| 1 | 233 | 490 |
| 2 | 730 | 398 |
| 3 | 3073 | 397 |
| 1× | node limit |
| Inputs |
|---|
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
1 |
(+.f64 1 (*.f64 -2 x)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(sqrt.f64 -1) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))) |
(sqrt.f64 -1) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))) |
| Outputs |
|---|
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
1 |
(+.f64 1 (*.f64 -2 x)) |
(+.f64 1 (*.f64 x -2)) |
(fma.f64 x -2 1) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x))) |
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 x -2))) |
(fma.f64 2 (*.f64 x x) (fma.f64 x -2 1)) |
(fma.f64 x -2 (fma.f64 2 (*.f64 x x) 1)) |
(fma.f64 x -2 (fma.f64 x (*.f64 x 2) 1)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))))) |
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 -2 (+.f64 x (pow.f64 x 3))))) |
(fma.f64 2 (*.f64 x x) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) 1)) |
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (fma.f64 2 (*.f64 x x) 1)) |
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (fma.f64 x (*.f64 x 2) 1)) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(+.f64 (/.f64 2 x) -1) |
(+.f64 -1 (/.f64 2 x)) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x)))) |
(-.f64 (+.f64 -1 (/.f64 2 x)) (/.f64 2 (*.f64 x x))) |
(+.f64 (/.f64 2 x) (+.f64 -1 (/.f64 -2 (*.f64 x x)))) |
(+.f64 -1 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x))))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 (+.f64 -1 (/.f64 2 x)) (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 -1 (/.f64 -2 (*.f64 x x))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(+.f64 (/.f64 2 x) -1) |
(+.f64 -1 (/.f64 2 x)) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x)))) |
(-.f64 (+.f64 -1 (/.f64 2 x)) (/.f64 2 (*.f64 x x))) |
(+.f64 (/.f64 2 x) (+.f64 -1 (/.f64 -2 (*.f64 x x)))) |
(+.f64 -1 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x))))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 (+.f64 -1 (/.f64 2 x)) (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 -1 (/.f64 -2 (*.f64 x x))))) |
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 (*.f64 x x) 1/2) x)) |
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(+.f64 1 (fma.f64 (pow.f64 x 3) -1/2 (-.f64 (*.f64 (*.f64 x x) 1/2) x))) |
(fma.f64 (pow.f64 x 3) -1/2 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) |
(fma.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2)) (-.f64 1 x)) |
(sqrt.f64 -1) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) |
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))) |
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))) (sqrt.f64 -1))) |
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1)))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (fma.f64 1/2 (/.f64 (+.f64 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1)))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 x 3))))) |
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (/.f64 (/.f64 1/2 (pow.f64 x 3)) (sqrt.f64 -1))))) |
(sqrt.f64 -1) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) |
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))) |
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))) (sqrt.f64 -1))) |
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1)))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (fma.f64 1/2 (/.f64 (+.f64 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1)))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 x 3))))) |
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (/.f64 (/.f64 1/2 (pow.f64 x 3)) (sqrt.f64 -1))))) |
Compiled 2053 to 1717 computations (16.4% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 120 | 2 | 122 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 121 | 2 | 123 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (*.f64 2 (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3))) |
| 0.0b | (*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) |
Compiled 66 to 54 computations (18.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3) |
| ✓ | 0.0b | (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3)) |
| 0.0b | (/.f64 (-.f64 1 x) (+.f64 1 x)) | |
| ✓ | 0.0b | (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3) |
| 1.0ms | x | @ | -inf | (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3) |
| 1.0ms | x | @ | 0 | (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) |
| 1.0ms | x | @ | inf | (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) |
| 1.0ms | x | @ | -inf | (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) |
| 1× | batch-egg-rewrite |
| 311× | prod-diff_binary64 |
| 194× | expm1-udef_binary64 |
| 193× | log1p-udef_binary64 |
| 184× | fma-def_binary64 |
| 160× | log-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 41 |
| 1 | 251 | 39 |
| 2 | 3134 | 39 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3)) |
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 3/2) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 x) 3/2) (pow.f64 (/.f64 1 (+.f64 1 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 3/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3/2) (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (/.f64 1 (+.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/4) 1/3) (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/4) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 x)) (hypot.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (-.f64 1 x))) (sqrt.f64 (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) |
| 1× | egg-herbie |
| 954× | fma-neg_binary64 |
| 419× | times-frac_binary64 |
| 389× | fma-def_binary64 |
| 385× | associate-/r*_binary64 |
| 226× | associate-/l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 711 |
| 1 | 275 | 589 |
| 2 | 919 | 545 |
| 3 | 4896 | 541 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 -3 x) 1) |
(+.f64 (*.f64 -3 x) (+.f64 1 (*.f64 9/2 (pow.f64 x 2)))) |
(+.f64 (*.f64 -3 x) (+.f64 1 (+.f64 (*.f64 -11/2 (pow.f64 x 3)) (*.f64 9/2 (pow.f64 x 2))))) |
(sqrt.f64 -1) |
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) |
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))) |
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(sqrt.f64 -1) |
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) |
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))) |
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 3/2) 1/3)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 3/2) 1/3)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 3/2) 1/3)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 3/2) 1/3)) |
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 1/3) (/.f64 1 x)))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 9/2 (sqrt.f64 -1)) (*.f64 3 (pow.f64 (pow.f64 (sqrt.f64 -1) 5) 1/3))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 1/3) (/.f64 1 x))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 9/2 (sqrt.f64 -1)) (*.f64 3 (pow.f64 (pow.f64 (sqrt.f64 -1) 5) 1/3))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 -11/2 (sqrt.f64 -1)) (+.f64 (*.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3) (-.f64 (*.f64 9/2 (sqrt.f64 -1)) (*.f64 3 (pow.f64 (pow.f64 (sqrt.f64 -1) 5) 1/3))))) (*.f64 -1 (sqrt.f64 -1)))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 1/3) (/.f64 1 x)))))) |
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 1/3) (/.f64 1 x)))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 9/2 (sqrt.f64 -1)) (*.f64 3 (pow.f64 (pow.f64 (sqrt.f64 -1) 5) 1/3))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 1/3) (/.f64 1 x))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 9/2 (sqrt.f64 -1)) (*.f64 3 (pow.f64 (pow.f64 (sqrt.f64 -1) 5) 1/3))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 1/3) (/.f64 1 x))) (*.f64 -1/3 (/.f64 (-.f64 (*.f64 11/2 (sqrt.f64 -1)) (+.f64 (sqrt.f64 -1) (*.f64 2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3) (-.f64 (*.f64 9/2 (sqrt.f64 -1)) (*.f64 3 (pow.f64 (pow.f64 (sqrt.f64 -1) 5) 1/3))))))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 3))))))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 -3 x) 1) |
(fma.f64 -3 x 1) |
(+.f64 (*.f64 -3 x) (+.f64 1 (*.f64 9/2 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -3 x 1) (*.f64 9/2 (*.f64 x x))) |
(fma.f64 -3 x (fma.f64 9/2 (*.f64 x x) 1)) |
(fma.f64 -3 x (fma.f64 x (*.f64 x 9/2) 1)) |
(+.f64 (*.f64 -3 x) (+.f64 1 (+.f64 (*.f64 -11/2 (pow.f64 x 3)) (*.f64 9/2 (pow.f64 x 2))))) |
(+.f64 (fma.f64 -3 x 1) (fma.f64 -11/2 (pow.f64 x 3) (*.f64 9/2 (*.f64 x x)))) |
(+.f64 (fma.f64 9/2 (*.f64 x x) (*.f64 -11/2 (pow.f64 x 3))) (fma.f64 -3 x 1)) |
(fma.f64 -3 x (fma.f64 x (*.f64 x 9/2) (fma.f64 -11/2 (pow.f64 x 3) 1))) |
(sqrt.f64 -1) |
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) |
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) |
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))) |
(+.f64 (fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)))) |
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (sqrt.f64 -1))) |
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -3 (/.f64 9/2 x)))) |
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)))))) |
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (fma.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (sqrt.f64 -1)))) |
(+.f64 (fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) (*.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (+.f64 (/.f64 -11/2 x) 9/2))) |
(sqrt.f64 -1) |
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) |
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) |
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))) |
(+.f64 (fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)))) |
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (sqrt.f64 -1))) |
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -3 (/.f64 9/2 x)))) |
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)))))) |
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (fma.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (sqrt.f64 -1)))) |
(+.f64 (fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) (*.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (+.f64 (/.f64 -11/2 x) 9/2))) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 3/2) 1/3)) |
(atan.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))) 3/2))) |
(atan.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 3/2) 1/3)) |
(atan.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))) 3/2))) |
(atan.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 3/2) 1/3)) |
(atan.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))) 3/2))) |
(atan.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 3/2) 1/3)) |
(atan.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))) 3/2))) |
(atan.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))) |
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 (fma.f64 (*.f64 x x) 1/2 (neg.f64 x))) |
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) |
(+.f64 1 (*.f64 x (fma.f64 x 1/2 -1))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(+.f64 1 (fma.f64 (pow.f64 x 3) -1/2 (fma.f64 (*.f64 x x) 1/2 (neg.f64 x)))) |
(fma.f64 (pow.f64 x 3) -1/2 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) |
(+.f64 1 (fma.f64 (pow.f64 x 3) -1/2 (*.f64 x (fma.f64 x 1/2 -1)))) |
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 1/3) (/.f64 1 x)))) |
(+.f64 (sqrt.f64 -1) (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 -1)) (/.f64 1 x)))) |
(-.f64 (sqrt.f64 -1) (/.f64 (cbrt.f64 (sqrt.f64 -1)) x)) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 9/2 (sqrt.f64 -1)) (*.f64 3 (pow.f64 (pow.f64 (sqrt.f64 -1) 5) 1/3))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 1/3) (/.f64 1 x))))) |
(+.f64 (sqrt.f64 -1) (fma.f64 1/3 (/.f64 (+.f64 (*.f64 9/2 (sqrt.f64 -1)) (*.f64 -3 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 5)))) (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 -1) 2))) (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 -1)) (/.f64 1 x))))) |
(+.f64 (sqrt.f64 -1) (-.f64 (*.f64 -1/3 (/.f64 (fma.f64 9/2 (sqrt.f64 -1) (*.f64 -3 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 5)))) (*.f64 x x))) (/.f64 (cbrt.f64 (sqrt.f64 -1)) x))) |
(-.f64 (fma.f64 -1/3 (/.f64 (fma.f64 -3 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 5)) (*.f64 9/2 (sqrt.f64 -1))) (*.f64 x x)) (sqrt.f64 -1)) (/.f64 (cbrt.f64 (sqrt.f64 -1)) x)) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 9/2 (sqrt.f64 -1)) (*.f64 3 (pow.f64 (pow.f64 (sqrt.f64 -1) 5) 1/3))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 -11/2 (sqrt.f64 -1)) (+.f64 (*.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3) (-.f64 (*.f64 9/2 (sqrt.f64 -1)) (*.f64 3 (pow.f64 (pow.f64 (sqrt.f64 -1) 5) 1/3))))) (*.f64 -1 (sqrt.f64 -1)))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 1/3) (/.f64 1 x)))))) |
(+.f64 (sqrt.f64 -1) (fma.f64 1/3 (/.f64 (+.f64 (*.f64 9/2 (sqrt.f64 -1)) (*.f64 -3 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 5)))) (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 1/3 (/.f64 (-.f64 (*.f64 -11/2 (sqrt.f64 -1)) (fma.f64 -2 (*.f64 (+.f64 (*.f64 9/2 (sqrt.f64 -1)) (*.f64 -3 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 5)))) (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))) (neg.f64 (sqrt.f64 -1)))) (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 2))) (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 -1)) (/.f64 1 x)))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/3 (/.f64 (fma.f64 9/2 (sqrt.f64 -1) (*.f64 -3 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 5)))) (*.f64 x x))) (-.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 -11/2 (sqrt.f64 -1)) (fma.f64 (*.f64 -2 (cbrt.f64 -1)) (fma.f64 9/2 (sqrt.f64 -1) (*.f64 -3 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 5)))) (neg.f64 (sqrt.f64 -1)))) (pow.f64 x 3))) (/.f64 (cbrt.f64 (sqrt.f64 -1)) x)))) |
(fma.f64 -1/3 (/.f64 (fma.f64 -3 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 5)) (*.f64 9/2 (sqrt.f64 -1))) (*.f64 x x)) (-.f64 (fma.f64 1/3 (/.f64 (-.f64 (*.f64 9/2 (sqrt.f64 -1)) (*.f64 (fma.f64 -3 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 5)) (*.f64 9/2 (sqrt.f64 -1))) (*.f64 2 (cbrt.f64 -1)))) (pow.f64 x 3)) (sqrt.f64 -1)) (/.f64 (cbrt.f64 (sqrt.f64 -1)) x))) |
(fma.f64 -1/3 (/.f64 (fma.f64 -3 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 5)) (*.f64 9/2 (sqrt.f64 -1))) (*.f64 x x)) (-.f64 (fma.f64 1/3 (/.f64 (fma.f64 9/2 (sqrt.f64 -1) (*.f64 (fma.f64 -3 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 5)) (*.f64 9/2 (sqrt.f64 -1))) (*.f64 -2 (cbrt.f64 -1)))) (pow.f64 x 3)) (sqrt.f64 -1)) (/.f64 (cbrt.f64 (sqrt.f64 -1)) x))) |
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 1/3) (/.f64 1 x)))) |
(+.f64 (sqrt.f64 -1) (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 -1)) (/.f64 1 x)))) |
(-.f64 (sqrt.f64 -1) (/.f64 (cbrt.f64 (sqrt.f64 -1)) x)) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 9/2 (sqrt.f64 -1)) (*.f64 3 (pow.f64 (pow.f64 (sqrt.f64 -1) 5) 1/3))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 1/3) (/.f64 1 x))))) |
(+.f64 (sqrt.f64 -1) (fma.f64 1/3 (/.f64 (+.f64 (*.f64 9/2 (sqrt.f64 -1)) (*.f64 -3 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 5)))) (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 -1) 2))) (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 -1)) (/.f64 1 x))))) |
(+.f64 (sqrt.f64 -1) (-.f64 (*.f64 -1/3 (/.f64 (fma.f64 9/2 (sqrt.f64 -1) (*.f64 -3 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 5)))) (*.f64 x x))) (/.f64 (cbrt.f64 (sqrt.f64 -1)) x))) |
(-.f64 (fma.f64 -1/3 (/.f64 (fma.f64 -3 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 5)) (*.f64 9/2 (sqrt.f64 -1))) (*.f64 x x)) (sqrt.f64 -1)) (/.f64 (cbrt.f64 (sqrt.f64 -1)) x)) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 9/2 (sqrt.f64 -1)) (*.f64 3 (pow.f64 (pow.f64 (sqrt.f64 -1) 5) 1/3))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 1/3) (/.f64 1 x))) (*.f64 -1/3 (/.f64 (-.f64 (*.f64 11/2 (sqrt.f64 -1)) (+.f64 (sqrt.f64 -1) (*.f64 2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3) (-.f64 (*.f64 9/2 (sqrt.f64 -1)) (*.f64 3 (pow.f64 (pow.f64 (sqrt.f64 -1) 5) 1/3))))))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 3))))))) |
(+.f64 (sqrt.f64 -1) (fma.f64 1/3 (/.f64 (+.f64 (*.f64 9/2 (sqrt.f64 -1)) (*.f64 -3 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 5)))) (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 1/3 (/.f64 (-.f64 (*.f64 -11/2 (sqrt.f64 -1)) (fma.f64 -2 (*.f64 (+.f64 (*.f64 9/2 (sqrt.f64 -1)) (*.f64 -3 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 5)))) (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))) (neg.f64 (sqrt.f64 -1)))) (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 2))) (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 -1)) (/.f64 1 x)))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/3 (/.f64 (fma.f64 9/2 (sqrt.f64 -1) (*.f64 -3 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 5)))) (*.f64 x x))) (-.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 -11/2 (sqrt.f64 -1)) (fma.f64 (*.f64 -2 (cbrt.f64 -1)) (fma.f64 9/2 (sqrt.f64 -1) (*.f64 -3 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 5)))) (neg.f64 (sqrt.f64 -1)))) (pow.f64 x 3))) (/.f64 (cbrt.f64 (sqrt.f64 -1)) x)))) |
(fma.f64 -1/3 (/.f64 (fma.f64 -3 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 5)) (*.f64 9/2 (sqrt.f64 -1))) (*.f64 x x)) (-.f64 (fma.f64 1/3 (/.f64 (-.f64 (*.f64 9/2 (sqrt.f64 -1)) (*.f64 (fma.f64 -3 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 5)) (*.f64 9/2 (sqrt.f64 -1))) (*.f64 2 (cbrt.f64 -1)))) (pow.f64 x 3)) (sqrt.f64 -1)) (/.f64 (cbrt.f64 (sqrt.f64 -1)) x))) |
(fma.f64 -1/3 (/.f64 (fma.f64 -3 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 5)) (*.f64 9/2 (sqrt.f64 -1))) (*.f64 x x)) (-.f64 (fma.f64 1/3 (/.f64 (fma.f64 9/2 (sqrt.f64 -1) (*.f64 (fma.f64 -3 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 5)) (*.f64 9/2 (sqrt.f64 -1))) (*.f64 -2 (cbrt.f64 -1)))) (pow.f64 x 3)) (sqrt.f64 -1)) (/.f64 (cbrt.f64 (sqrt.f64 -1)) x))) |
Compiled 2864 to 2451 computations (14.4% saved)
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 149 | 0 | 149 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 149 | 2 | 151 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 2 (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3))) |
| ▶ | 0.0b | (*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) |
Compiled 51 to 41 computations (19.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) |
| ✓ | 0.0b | (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x))) |
| ✓ | 0.0b | (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x)))) |
| ✓ | 0.0b | (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x))) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x)) |
| 0.0ms | x | @ | -inf | (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x))) |
| 0.0ms | x | @ | 0 | (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x)))) |
| 1× | batch-egg-rewrite |
| 427× | prod-diff_binary64 |
| 233× | fma-def_binary64 |
| 187× | expm1-udef_binary64 |
| 185× | log1p-udef_binary64 |
| 130× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 76 |
| 1 | 222 | 43 |
| 2 | 3127 | 43 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x)) |
(atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x)))) |
(sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x))) |
(/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 x) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 x x)) (*.f64 (+.f64 1 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x 3)) (*.f64 (+.f64 1 x) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (-.f64 1 x) 2)) (neg.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) 1) (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x)) (*.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 1 x)) (*.f64 (+.f64 1 (fma.f64 x x x)) (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) (neg.f64 (-.f64 1 x))) (*.f64 (+.f64 1 x) (neg.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (neg.f64 (-.f64 1 x))) (*.f64 (+.f64 1 (fma.f64 x x x)) (neg.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 x)) (-.f64 1 (*.f64 x x))) (*.f64 (neg.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 3))) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 x)) (-.f64 1 (pow.f64 x 3))) (*.f64 (neg.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 x)) (-.f64 1 x)) (neg.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (neg.f64 (-.f64 1 x))) (neg.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) 1) (-.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (cbrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 x))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (/.f64 1 (+.f64 1 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3) (pow.f64 (-.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 1 x)) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 x) (/.f64 1 (-.f64 1 (*.f64 x x))) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 x) (/.f64 1 (-.f64 1 (*.f64 x x))) (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 x)) 1 (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 x)) 1 (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) 2) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) 2) (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) 2) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) 2) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 (-.f64 1 (*.f64 x x)))) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 (-.f64 1 (*.f64 x x)))) (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x))) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x))) (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (-.f64 1 (*.f64 x x)))) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (-.f64 1 (*.f64 x x)))) (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (neg.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (neg.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) (-.f64 1 (*.f64 x x))) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) (-.f64 1 (*.f64 x x))) (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 1 (*.f64 x x))) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 1 (*.f64 x x))) (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1) (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2)) 1/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 (neg.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (-.f64 1 (*.f64 x x))))) (sqrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) (/.f64 x (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 x (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (neg.f64 (/.f64 x (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 (-.f64 1 (*.f64 x x))) (neg.f64 (*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) 1))) (fma.f64 (neg.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) 1 (*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (neg.f64 (*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) 1))) (fma.f64 (neg.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) 1 (*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (neg.f64 (*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) 1))) (fma.f64 (neg.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) 1 (*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (neg.f64 (*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) 1))) (fma.f64 (neg.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) 1 (*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1) (neg.f64 (*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) 1))) (fma.f64 (neg.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) 1 (*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 (-.f64 1 (*.f64 x x))) (neg.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) x))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) x (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (neg.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) x))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) x (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (neg.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) x))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) x (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (neg.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) x))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) x (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1) (neg.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) x))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) x (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 (-.f64 1 (*.f64 x x))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x))))) (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x))))) (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x))))) (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x))))) (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x))))) (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x))))) (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x))))) (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x))))) (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x))))) (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x))))) (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 (-.f64 1 (*.f64 x x))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (-.f64 1 (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (-.f64 1 (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (/.f64 (cbrt.f64 x) (-.f64 1 (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (-.f64 1 (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (-.f64 1 (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (/.f64 (cbrt.f64 x) (-.f64 1 (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (-.f64 1 (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (-.f64 1 (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (/.f64 (cbrt.f64 x) (-.f64 1 (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (-.f64 1 (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (-.f64 1 (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (/.f64 (cbrt.f64 x) (-.f64 1 (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (-.f64 1 (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (-.f64 1 (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (/.f64 (cbrt.f64 x) (-.f64 1 (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 (-.f64 1 (*.f64 x x))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (*.f64 x x))) (/.f64 (sqrt.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (*.f64 x x)))) (/.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (*.f64 x x))) (/.f64 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (*.f64 x x))) (/.f64 (sqrt.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (*.f64 x x)))) (/.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (*.f64 x x))) (/.f64 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (*.f64 x x))) (/.f64 (sqrt.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (*.f64 x x)))) (/.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (*.f64 x x))) (/.f64 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (*.f64 x x))) (/.f64 (sqrt.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (*.f64 x x)))) (/.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (*.f64 x x))) (/.f64 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (*.f64 x x))) (/.f64 (sqrt.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (*.f64 x x)))) (/.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (*.f64 x x))) (/.f64 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 (-.f64 1 (*.f64 x x))) (neg.f64 (*.f64 (/.f64 x (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (*.f64 (/.f64 x (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (neg.f64 (*.f64 (/.f64 x (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (*.f64 (/.f64 x (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (neg.f64 (*.f64 (/.f64 x (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (*.f64 (/.f64 x (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (neg.f64 (*.f64 (/.f64 x (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (*.f64 (/.f64 x (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1) (neg.f64 (*.f64 (/.f64 x (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (*.f64 (/.f64 x (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 (-.f64 1 (*.f64 x x))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 (-.f64 1 (*.f64 x x))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 (-.f64 1 (*.f64 x x))) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 (-.f64 1 (*.f64 x x))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 (-.f64 1 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (/.f64 x (-.f64 1 (pow.f64 x 6)))))) (fma.f64 (neg.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))) (/.f64 x (-.f64 1 (pow.f64 x 6))) (*.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (/.f64 x (-.f64 1 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (neg.f64 (*.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (/.f64 x (-.f64 1 (pow.f64 x 6)))))) (fma.f64 (neg.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))) (/.f64 x (-.f64 1 (pow.f64 x 6))) (*.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (/.f64 x (-.f64 1 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (neg.f64 (*.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (/.f64 x (-.f64 1 (pow.f64 x 6)))))) (fma.f64 (neg.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))) (/.f64 x (-.f64 1 (pow.f64 x 6))) (*.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (/.f64 x (-.f64 1 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (neg.f64 (*.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (/.f64 x (-.f64 1 (pow.f64 x 6)))))) (fma.f64 (neg.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))) (/.f64 x (-.f64 1 (pow.f64 x 6))) (*.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (/.f64 x (-.f64 1 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1) (neg.f64 (*.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (/.f64 x (-.f64 1 (pow.f64 x 6)))))) (fma.f64 (neg.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))) (/.f64 x (-.f64 1 (pow.f64 x 6))) (*.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (/.f64 x (-.f64 1 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 (-.f64 1 (*.f64 x x))) (neg.f64 (*.f64 (fma.f64 x x 1) (/.f64 x (-.f64 1 (pow.f64 x 4)))))) (fma.f64 (neg.f64 (fma.f64 x x 1)) (/.f64 x (-.f64 1 (pow.f64 x 4))) (*.f64 (fma.f64 x x 1) (/.f64 x (-.f64 1 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (neg.f64 (*.f64 (fma.f64 x x 1) (/.f64 x (-.f64 1 (pow.f64 x 4)))))) (fma.f64 (neg.f64 (fma.f64 x x 1)) (/.f64 x (-.f64 1 (pow.f64 x 4))) (*.f64 (fma.f64 x x 1) (/.f64 x (-.f64 1 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (neg.f64 (*.f64 (fma.f64 x x 1) (/.f64 x (-.f64 1 (pow.f64 x 4)))))) (fma.f64 (neg.f64 (fma.f64 x x 1)) (/.f64 x (-.f64 1 (pow.f64 x 4))) (*.f64 (fma.f64 x x 1) (/.f64 x (-.f64 1 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (neg.f64 (*.f64 (fma.f64 x x 1) (/.f64 x (-.f64 1 (pow.f64 x 4)))))) (fma.f64 (neg.f64 (fma.f64 x x 1)) (/.f64 x (-.f64 1 (pow.f64 x 4))) (*.f64 (fma.f64 x x 1) (/.f64 x (-.f64 1 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1) (neg.f64 (*.f64 (fma.f64 x x 1) (/.f64 x (-.f64 1 (pow.f64 x 4)))))) (fma.f64 (neg.f64 (fma.f64 x x 1)) (/.f64 x (-.f64 1 (pow.f64 x 4))) (*.f64 (fma.f64 x x 1) (/.f64 x (-.f64 1 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (/.f64 x (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) 2) (cbrt.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (neg.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (cbrt.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 x) (neg.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 1 (*.f64 x x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (-.f64 1 (*.f64 x x))) (neg.f64 (/.f64 x (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (neg.f64 (/.f64 x (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (neg.f64 (/.f64 x (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (neg.f64 (/.f64 x (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1) (neg.f64 (/.f64 x (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x)))))))) |
| 1× | egg-herbie |
| 323× | associate-*l*_binary64 |
| 322× | associate-/r*_binary64 |
| 289× | fma-def_binary64 |
| 247× | fma-neg_binary64 |
| 245× | cancel-sign-sub-inv_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 760 |
| 1 | 227 | 741 |
| 2 | 630 | 733 |
| 3 | 1985 | 722 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -2 x)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x)))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x)))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x)))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x)))) |
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(*.f64 -1 (sqrt.f64 -1)) |
(+.f64 (/.f64 (sqrt.f64 -1) x) (*.f64 -1 (sqrt.f64 -1))) |
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 -1 (sqrt.f64 -1)))) |
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 -1 (sqrt.f64 -1)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))))) |
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) |
(-.f64 (+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) |
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) |
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -2 x)) |
(fma.f64 -2 x 1) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x))) |
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 -2 x))) |
(fma.f64 2 (*.f64 x x) (fma.f64 -2 x 1)) |
(fma.f64 x (*.f64 x 2) (fma.f64 -2 x 1)) |
(fma.f64 -2 x (fma.f64 x (*.f64 x 2) 1)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))))) |
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 -2 (+.f64 x (pow.f64 x 3))))) |
(fma.f64 2 (*.f64 x x) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) 1)) |
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (fma.f64 x (*.f64 x 2) 1)) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(+.f64 (/.f64 2 x) -1) |
(+.f64 -1 (/.f64 2 x)) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x)))) |
(+.f64 -1 (-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x))))) |
(+.f64 (/.f64 2 x) (-.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) -1) (/.f64 2 (*.f64 x x)))) |
(+.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(+.f64 (/.f64 2 x) -1) |
(+.f64 -1 (/.f64 2 x)) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x)))) |
(+.f64 -1 (-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x))))) |
(+.f64 (/.f64 2 x) (-.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) -1) (/.f64 2 (*.f64 x x)))) |
(+.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x)))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x)))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x)))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x)))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1))) (-.f64 1 x))) |
1 |
(+.f64 1 (*.f64 -1 x)) |
(-.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(+.f64 1 (fma.f64 (*.f64 x x) 1/2 (neg.f64 x))) |
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) |
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(+.f64 1 (fma.f64 (pow.f64 x 3) -1/2 (fma.f64 (*.f64 x x) 1/2 (neg.f64 x)))) |
(fma.f64 (pow.f64 x 3) -1/2 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) |
(fma.f64 x (*.f64 x (+.f64 1/2 (*.f64 x -1/2))) (-.f64 1 x)) |
(*.f64 -1 (sqrt.f64 -1)) |
(neg.f64 (sqrt.f64 -1)) |
(+.f64 (/.f64 (sqrt.f64 -1) x) (*.f64 -1 (sqrt.f64 -1))) |
(+.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 (sqrt.f64 -1) x)) |
(-.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) |
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 -1 (sqrt.f64 -1)))) |
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))))) |
(+.f64 (/.f64 (sqrt.f64 -1) x) (-.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (sqrt.f64 -1))) |
(+.f64 (/.f64 1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (-.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1))) |
(+.f64 (/.f64 (sqrt.f64 -1) x) (-.f64 (/.f64 1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1))) |
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 -1 (sqrt.f64 -1)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))))) |
(+.f64 (/.f64 (sqrt.f64 -1) x) (-.f64 (+.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1)))) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))) |
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (-.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (sqrt.f64 -1)) (/.f64 -1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))) |
(+.f64 (/.f64 1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (-.f64 (-.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))) |
(+.f64 (/.f64 (sqrt.f64 -1) x) (-.f64 (*.f64 (/.f64 1 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (-.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 -1))) |
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) |
(+.f64 (sqrt.f64 -1) (neg.f64 (/.f64 (sqrt.f64 -1) x))) |
(-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x)) |
(-.f64 (+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) |
(+.f64 (sqrt.f64 -1) (-.f64 (neg.f64 (/.f64 (sqrt.f64 -1) x)) (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))))) |
(+.f64 (-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x)) (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1)))) |
(+.f64 (-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x)) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1))))) |
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) |
(+.f64 (sqrt.f64 -1) (-.f64 (+.f64 (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (neg.f64 (/.f64 (sqrt.f64 -1) x))) (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))))) |
(+.f64 (+.f64 (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x))) (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1)))) |
(+.f64 (sqrt.f64 -1) (+.f64 (-.f64 (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) x)) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))))) |
(+.f64 (sqrt.f64 -1) (-.f64 (*.f64 (/.f64 1 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (-.f64 (/.f64 1/2 x) 1/2)) (/.f64 (sqrt.f64 -1) x))) |
1 |
(+.f64 1 (*.f64 -1 x)) |
(-.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) |
(+.f64 (-.f64 1 x) (*.f64 x x)) |
(+.f64 1 (fma.f64 x x (neg.f64 x))) |
(fma.f64 x x (-.f64 1 x)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 (-.f64 1 x) (*.f64 x x))) |
(-.f64 (+.f64 1 (fma.f64 x x (neg.f64 x))) (pow.f64 x 3)) |
(-.f64 (fma.f64 x x (-.f64 1 x)) (pow.f64 x 3)) |
(-.f64 1 (*.f64 x (fma.f64 x x (-.f64 1 x)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 (/.f64 -1 x) x)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 (/.f64 -1 x) x))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))) (/.f64 1 (pow.f64 x 4))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 (/.f64 -1 x) x)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 (/.f64 -1 x) x))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))) (/.f64 1 (pow.f64 x 4))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4)))) |
Compiled 8938 to 6334 computations (29.1% saved)
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 276 | 0 | 276 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 276 | 2 | 278 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 2 (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3))) |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) |
Compiled 33 to 27 computations (18.2% saved)
Total -0.0b remaining (-150%)
Threshold costs -0.0b (-150%)
| Inputs |
|---|
(*.f64 2 (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3))) |
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) |
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3))) |
| Time | Error | Segments | Branch |
| 5.0ms | 0.0b | 1 | x |
| 2.0ms | 0.0b | 1 | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| 2.0ms | 0.0b | 1 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
| 2.0ms | 0.0b | 1 | (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| 2.0ms | 0.0b | 1 | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
Compiled 84 to 67 computations (20.2% saved)
| 1× | egg-herbie |
| 3× | +-commutative_binary64 |
| 2× | *-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 4294967295 |
| 1 | 19 | 4294967295 |
| 2 | 23 | 4294967295 |
| 3 | 25 | 4294967295 |
| 4 | 26 | 4294967295 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 2 (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3))) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3))) |
| 1× | done |
Compiled 30 to 26 computations (13.3% saved)
Loading profile data...