Time bar (total: 1.8s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 0% | 50% | 50% | 3 |
| 25% | 25% | 50% | 4 |
| 37.5% | 12.5% | 50% | 5 |
| 43.7% | 6.2% | 50% | 6 |
| 46.9% | 3.1% | 50% | 7 |
| 48.4% | 1.6% | 50% | 8 |
| 49.2% | 0.8% | 50% | 9 |
| 49.6% | 0.4% | 50% | 10 |
| 49.8% | 0.2% | 50% | 11 |
| 49.9% | 0.1% | 50% | 12 |
| 49.9% | 0% | 50% | 13 |
| 49.9% | 0% | 50% | 14 |
Compiled 8 to 6 computations (25% saved)
| 736.0ms | 8256× | body | 128 | valid |
| 2× | egg-herbie |
| 492× | fma-neg_binary64 |
| 454× | unsub-neg_binary64 |
| 411× | distribute-rgt-in_binary64 |
| 370× | fma-def_binary64 |
| 363× | distribute-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 13 | 9 |
| 2 | 20 | 9 |
| 3 | 31 | 9 |
| 4 | 48 | 9 |
| 5 | 76 | 9 |
| 6 | 123 | 9 |
| 7 | 318 | 9 |
| 8 | 657 | 9 |
| 9 | 1421 | 9 |
| 10 | 2745 | 9 |
| 11 | 4127 | 9 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
| Outputs |
|---|
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
| 492× | fma-neg_binary64 |
| 454× | unsub-neg_binary64 |
| 411× | distribute-rgt-in_binary64 |
| 370× | fma-def_binary64 |
| 363× | distribute-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 13 | 9 |
| 2 | 20 | 9 |
| 3 | 31 | 9 |
| 4 | 48 | 9 |
| 5 | 76 | 9 |
| 6 | 123 | 9 |
| 7 | 318 | 9 |
| 8 | 657 | 9 |
| 9 | 1421 | 9 |
| 10 | 2745 | 9 |
| 11 | 4127 | 9 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
| Outputs |
|---|
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
Compiled 7 to 5 computations (28.6% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
Compiled 14 to 10 computations (28.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 1 (*.f64 x x)) |
| ✓ | 0.0b | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| 1.0ms | x | @ | 0 | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| 1.0ms | x | @ | -inf | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| 0.0ms | x | @ | inf | (-.f64 1 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (-.f64 1 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 580× | pow1_binary64 |
| 544× | add-log-exp_binary64 |
| 543× | log1p-expm1-u_binary64 |
| 543× | expm1-log1p-u_binary64 |
| 531× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 1 | 126 | 16 |
| 2 | 1543 | 16 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (+.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (+.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 x 6))) (neg.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 x 4))) (neg.f64 (+.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 x (neg.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (-.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 687× | associate-*l*_binary64 |
| 657× | fma-def_binary64 |
| 221× | associate-/l/_binary64 |
| 212× | associate-*r/_binary64 |
| 206× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 370 |
| 1 | 156 | 332 |
| 2 | 463 | 320 |
| 3 | 1638 | 318 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4))))) |
(*.f64 (sqrt.f64 -1) x) |
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) |
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) |
(*.f64 -1 (*.f64 (sqrt.f64 -1) x)) |
(-.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x)))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x)))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))) |
1 |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/8 (pow.f64 x 4)))) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) 1) (*.f64 -1/8 (pow.f64 x 4))) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/16 (pow.f64 x 6) (*.f64 -1/8 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) 1) (fma.f64 -1/16 (pow.f64 x 6) (*.f64 -1/8 (pow.f64 x 4)))) |
(+.f64 (*.f64 -1/16 (pow.f64 x 6)) (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) 1))) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (fma.f64 -1/16 (pow.f64 x 6) 1))) |
(*.f64 (sqrt.f64 -1) x) |
(*.f64 x (sqrt.f64 -1)) |
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)) |
(+.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) |
(fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) |
(-.f64 (+.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) |
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) (/.f64 -1/8 (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 x 3)))) |
(+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (fma.f64 x (sqrt.f64 -1) (/.f64 1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))))) |
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) |
(-.f64 (+.f64 (+.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) |
(+.f64 (+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (/.f64 -1/8 (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 x 3)))) |
(+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (-.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))))) |
(+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (fma.f64 x (sqrt.f64 -1) (/.f64 1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))) |
(*.f64 -1 (*.f64 (sqrt.f64 -1) x)) |
(neg.f64 (*.f64 x (sqrt.f64 -1))) |
(*.f64 (sqrt.f64 -1) (neg.f64 x)) |
(*.f64 x (neg.f64 (sqrt.f64 -1))) |
(-.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x)))) |
(-.f64 (neg.f64 (*.f64 x (sqrt.f64 -1))) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) |
(fma.f64 (neg.f64 (sqrt.f64 -1)) x (/.f64 -1/2 (*.f64 x (sqrt.f64 -1)))) |
(-.f64 (/.f64 -1/2 (*.f64 x (sqrt.f64 -1))) (*.f64 x (sqrt.f64 -1))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x)))) |
(+.f64 (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (-.f64 (neg.f64 (*.f64 x (sqrt.f64 -1))) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))) |
(fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (fma.f64 (neg.f64 (sqrt.f64 -1)) x (/.f64 -1/2 (*.f64 x (sqrt.f64 -1))))) |
(-.f64 (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))) (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))) |
(-.f64 (+.f64 (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (neg.f64 (*.f64 x (sqrt.f64 -1)))) (+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))) |
(-.f64 (fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (fma.f64 (neg.f64 (sqrt.f64 -1)) x (/.f64 -1/2 (*.f64 x (sqrt.f64 -1))))) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) |
(+.f64 (/.f64 -1/2 (*.f64 x (sqrt.f64 -1))) (-.f64 (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))) (fma.f64 x (sqrt.f64 -1) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))) |
(+.f64 (/.f64 -1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (-.f64 (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))) (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))))) |
1 |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(*.f64 -1 (pow.f64 x 2)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x (neg.f64 x)) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(*.f64 -1 (pow.f64 x 2)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x (neg.f64 x)) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
Compiled 1072 to 751 computations (29.9% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 80 | 2 | 82 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 81 | 2 | 83 |
| Status | Error | Program |
|---|---|---|
| 0.0b | (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (+.f64 1 (*.f64 x x)))) | |
| ▶ | 0.0b | (exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2)) |
Compiled 46 to 36 computations (21.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2) |
| ✓ | 0.0b | (log1p.f64 (*.f64 x (neg.f64 x))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (log1p.f64 (*.f64 x (neg.f64 x))) |
| 1.0ms | x | @ | inf | (log1p.f64 (*.f64 x (neg.f64 x))) |
| 0.0ms | x | @ | inf | (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2) |
| 0.0ms | x | @ | -inf | (log1p.f64 (*.f64 x (neg.f64 x))) |
| 0.0ms | x | @ | 0 | (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2) |
| 1× | batch-egg-rewrite |
| 508× | pow1_binary64 |
| 469× | add-log-exp_binary64 |
| 468× | expm1-log1p-u_binary64 |
| 467× | log1p-expm1-u_binary64 |
| 460× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 1 | 142 | 15 |
| 2 | 1685 | 15 |
| 1× | node limit |
| Inputs |
|---|
(log1p.f64 (*.f64 x (neg.f64 x))) |
(*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (*.f64 x x))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x x))) 2) (cbrt.f64 (log1p.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 x x))) (sqrt.f64 (log1p.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (*.f64 x x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (log1p.f64 (*.f64 x x)) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log1p.f64 (*.f64 x x)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log1p.f64 (*.f64 x x)) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (*.f64 x x)) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log1p.f64 (*.f64 x x)) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log1p.f64 (*.f64 x x)) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (+.f64 1 (*.f64 x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log1p.f64 (*.f64 x x)) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (log1p.f64 (*.f64 x x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log1p.f64 (*.f64 x x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log1p.f64 (*.f64 x x)) 1/2))))))) |
| 1× | egg-herbie |
| 614× | associate-*l*_binary64 |
| 449× | fma-neg_binary64 |
| 349× | fma-def_binary64 |
| 284× | sub-neg_binary64 |
| 278× | associate-/r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 577 |
| 1 | 233 | 548 |
| 2 | 688 | 533 |
| 3 | 2260 | 524 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 4)) (*.f64 -1 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 4)) (+.f64 (*.f64 -1/3 (pow.f64 x 6)) (*.f64 -1 (pow.f64 x 2)))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 4)) (+.f64 (*.f64 -1/3 (pow.f64 x 6)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 8))))) |
(+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x)))) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 6)))))) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) |
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 6)))))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 6)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 4)))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 8)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 4))))) |
(*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x))))) |
(-.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x))))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/6 (/.f64 1 (pow.f64 x 6)))))) |
(*.f64 1/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(-.f64 (*.f64 1/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 1/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (*.f64 1/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/6 (/.f64 1 (pow.f64 x 6)))))) |
| Outputs |
|---|
(*.f64 -1 (pow.f64 x 2)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x (neg.f64 x)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 4)) (*.f64 -1 (pow.f64 x 2))) |
(fma.f64 -1/2 (pow.f64 x 4) (neg.f64 (*.f64 x x))) |
(-.f64 (*.f64 -1/2 (pow.f64 x 4)) (*.f64 x x)) |
(fma.f64 -1/2 (pow.f64 x 4) (*.f64 x (neg.f64 x))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 4)) (+.f64 (*.f64 -1/3 (pow.f64 x 6)) (*.f64 -1 (pow.f64 x 2)))) |
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1/3 (pow.f64 x 6) (neg.f64 (*.f64 x x)))) |
(fma.f64 -1/2 (pow.f64 x 4) (-.f64 (*.f64 -1/3 (pow.f64 x 6)) (*.f64 x x))) |
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1/3 (pow.f64 x 6) (*.f64 x (neg.f64 x)))) |
(-.f64 (fma.f64 -1/2 (pow.f64 x 4) (*.f64 -1/3 (pow.f64 x 6))) (*.f64 x x)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 4)) (+.f64 (*.f64 -1/3 (pow.f64 x 6)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 8))))) |
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1/3 (pow.f64 x 6) (fma.f64 -1 (*.f64 x x) (*.f64 -1/4 (pow.f64 x 8))))) |
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1/3 (pow.f64 x 6) (-.f64 (*.f64 -1/4 (pow.f64 x 8)) (*.f64 x x)))) |
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1/3 (pow.f64 x 6) (fma.f64 -1/4 (pow.f64 x 8) (*.f64 x (neg.f64 x))))) |
(+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 -1) (*.f64 -2 (neg.f64 (log.f64 x)))) |
(fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 -1)) |
(+.f64 (log.f64 -1) (*.f64 2 (log.f64 x))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x)))) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (log.f64 -1) (-.f64 (*.f64 -2 (neg.f64 (log.f64 x))) (/.f64 1 (*.f64 x x)))) |
(+.f64 (log.f64 -1) (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (log.f64 -1) (+.f64 (*.f64 2 (log.f64 x)) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (log.f64 -1) (fma.f64 2 (log.f64 x) (/.f64 -1 (*.f64 x x)))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (neg.f64 (log.f64 x)))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/2 (pow.f64 x 4)))) |
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 -1 (*.f64 x x))) (/.f64 1/2 (pow.f64 x 4)))) |
(+.f64 (*.f64 2 (log.f64 x)) (+.f64 (+.f64 (log.f64 -1) (/.f64 -1 (*.f64 x x))) (/.f64 -1/2 (pow.f64 x 4)))) |
(-.f64 (fma.f64 2 (log.f64 x) (/.f64 -1 (*.f64 x x))) (-.f64 (/.f64 1/2 (pow.f64 x 4)) (log.f64 -1))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 6)))))) |
(+.f64 (log.f64 -1) (-.f64 (*.f64 -2 (neg.f64 (log.f64 x))) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/2 (pow.f64 x 4))) (/.f64 1/3 (pow.f64 x 6))))) |
(-.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 -1)) (+.f64 (/.f64 1/2 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1/3 (pow.f64 x 6))))) |
(+.f64 (log.f64 -1) (-.f64 (-.f64 (*.f64 2 (log.f64 x)) (+.f64 (/.f64 1/2 (pow.f64 x 4)) (/.f64 1/3 (pow.f64 x 6)))) (/.f64 1 (*.f64 x x)))) |
(+.f64 (-.f64 (fma.f64 2 (log.f64 x) (/.f64 -1 (*.f64 x x))) (-.f64 (/.f64 1/2 (pow.f64 x 4)) (log.f64 -1))) (/.f64 -1/3 (pow.f64 x 6))) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) |
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) |
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 1 (*.f64 x x))) |
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 -1 (*.f64 x x))) |
(+.f64 (log.f64 -1) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/2 (pow.f64 x 4)))) |
(+.f64 (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 1/2 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x))) |
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1/2 (pow.f64 x 4)))) |
(-.f64 (+.f64 (log.f64 -1) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))) (/.f64 1/2 (pow.f64 x 4))) |
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 6)))))) |
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/2 (pow.f64 x 4))) (/.f64 1/3 (pow.f64 x 6)))) |
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 (/.f64 1/2 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1/3 (pow.f64 x 6))))) |
(+.f64 (log.f64 -1) (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 -1/2 (pow.f64 x 4))) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1/3 (pow.f64 x 6))))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -1/2) |
(*.f64 x (*.f64 x -1/2)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 4))) |
(fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/4)) |
(fma.f64 (*.f64 x x) -1/2 (*.f64 (pow.f64 x 4) -1/4)) |
(fma.f64 (pow.f64 x 4) -1/4 (*.f64 (*.f64 x x) -1/2)) |
(fma.f64 x (*.f64 x -1/2) (*.f64 (pow.f64 x 4) -1/4)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 6)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 4)))) |
(fma.f64 -1/6 (pow.f64 x 6) (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/4))) |
(fma.f64 (pow.f64 x 6) -1/6 (fma.f64 (*.f64 x x) -1/2 (*.f64 (pow.f64 x 4) -1/4))) |
(fma.f64 (pow.f64 x 4) -1/4 (fma.f64 x (*.f64 x -1/2) (*.f64 (pow.f64 x 6) -1/6))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 8)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 4))))) |
(fma.f64 -1/6 (pow.f64 x 6) (fma.f64 -1/8 (pow.f64 x 8) (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/4)))) |
(fma.f64 (pow.f64 x 6) -1/6 (fma.f64 (pow.f64 x 8) -1/8 (fma.f64 (*.f64 x x) -1/2 (*.f64 (pow.f64 x 4) -1/4)))) |
(fma.f64 (pow.f64 x 6) -1/6 (fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 4) -1/4 (*.f64 (pow.f64 x 8) -1/8)))) |
(*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x))))) |
(*.f64 (+.f64 (log.f64 -1) (*.f64 -2 (neg.f64 (log.f64 x)))) 1/2) |
(*.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 -1)) 1/2) |
(fma.f64 (log.f64 -1) 1/2 (log.f64 x)) |
(-.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x))))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 (+.f64 (log.f64 -1) (*.f64 -2 (neg.f64 (log.f64 x)))) 1/2) (/.f64 1/2 (*.f64 x x))) |
(fma.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 -1)) 1/2 (/.f64 -1/2 (*.f64 x x))) |
(+.f64 (fma.f64 (log.f64 -1) 1/2 (log.f64 x)) (/.f64 -1/2 (*.f64 x x))) |
(-.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (*.f64 (+.f64 (log.f64 -1) (*.f64 -2 (neg.f64 (log.f64 x)))) 1/2) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))) |
(-.f64 (fma.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 -1)) 1/2 (/.f64 -1/2 (*.f64 x x))) (/.f64 1/4 (pow.f64 x 4))) |
(+.f64 (/.f64 -1/2 (*.f64 x x)) (fma.f64 (log.f64 -1) 1/2 (+.f64 (log.f64 x) (/.f64 -1/4 (pow.f64 x 4))))) |
(+.f64 (fma.f64 (log.f64 -1) 1/2 (log.f64 x)) (+.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 -1/4 (pow.f64 x 4)))) |
(-.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/6 (/.f64 1 (pow.f64 x 6)))))) |
(-.f64 (*.f64 (+.f64 (log.f64 -1) (*.f64 -2 (neg.f64 (log.f64 x)))) 1/2) (+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1/6 (pow.f64 x 6)))) |
(-.f64 (-.f64 (fma.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 -1)) 1/2 (/.f64 -1/2 (*.f64 x x))) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1/6 (pow.f64 x 6))) |
(+.f64 (fma.f64 (log.f64 -1) 1/2 (+.f64 (log.f64 x) (/.f64 -1/4 (pow.f64 x 4)))) (-.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 1/6 (pow.f64 x 6)))) |
(+.f64 (fma.f64 (log.f64 -1) 1/2 (log.f64 x)) (+.f64 (/.f64 -1/2 (*.f64 x x)) (+.f64 (/.f64 -1/4 (pow.f64 x 4)) (/.f64 -1/6 (pow.f64 x 6))))) |
(*.f64 1/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(*.f64 1/2 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(fma.f64 (log.f64 -1) 1/2 (neg.f64 (log.f64 (/.f64 -1 x)))) |
(-.f64 (*.f64 (log.f64 -1) 1/2) (log.f64 (/.f64 -1 x))) |
(-.f64 (*.f64 1/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 1/2 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 1/2 (*.f64 x x))) |
(fma.f64 1/2 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 -1/2 (*.f64 x x))) |
(-.f64 (fma.f64 (log.f64 -1) 1/2 (/.f64 -1/2 (*.f64 x x))) (log.f64 (/.f64 -1 x))) |
(-.f64 (*.f64 1/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (*.f64 1/2 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))) |
(-.f64 (fma.f64 1/2 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 -1/2 (*.f64 x x))) (/.f64 1/4 (pow.f64 x 4))) |
(+.f64 (/.f64 -1/2 (*.f64 x x)) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (fma.f64 (log.f64 -1) 1/2 (/.f64 -1/4 (pow.f64 x 4))))) |
(+.f64 (/.f64 -1/2 (*.f64 x x)) (-.f64 (fma.f64 (log.f64 -1) 1/2 (/.f64 -1/4 (pow.f64 x 4))) (log.f64 (/.f64 -1 x)))) |
(-.f64 (*.f64 1/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/6 (/.f64 1 (pow.f64 x 6)))))) |
(-.f64 (*.f64 1/2 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1/6 (pow.f64 x 6)))) |
(-.f64 (-.f64 (fma.f64 1/2 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 -1/2 (*.f64 x x))) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1/6 (pow.f64 x 6))) |
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (fma.f64 (log.f64 -1) 1/2 (/.f64 -1/4 (pow.f64 x 4)))) (-.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 1/6 (pow.f64 x 6)))) |
(+.f64 (-.f64 (fma.f64 (log.f64 -1) 1/2 (/.f64 -1/4 (pow.f64 x 4))) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 -1/6 (pow.f64 x 6)))) |
Compiled 1172 to 890 computations (24.1% saved)
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 74 | 0 | 74 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 74 | 2 | 76 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (+.f64 1 (*.f64 x x)))) |
| ✓ | 0.0b | (exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2)) |
Compiled 37 to 29 computations (21.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (+.f64 1 (*.f64 x x)))) |
| ✓ | 0.0b | (sqrt.f64 (-.f64 1 (pow.f64 x 4))) |
| ✓ | 0.0b | (sqrt.f64 (+.f64 1 (*.f64 x x))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (sqrt.f64 (-.f64 1 (pow.f64 x 4))) |
| 1.0ms | x | @ | -inf | (sqrt.f64 (-.f64 1 (pow.f64 x 4))) |
| 1.0ms | x | @ | 0 | (sqrt.f64 (-.f64 1 (pow.f64 x 4))) |
| 0.0ms | x | @ | 0 | (sqrt.f64 (+.f64 1 (*.f64 x x))) |
| 0.0ms | x | @ | inf | (sqrt.f64 (+.f64 1 (*.f64 x x))) |
| 1× | batch-egg-rewrite |
| 506× | prod-diff_binary64 |
| 283× | fma-def_binary64 |
| 183× | expm1-udef_binary64 |
| 182× | log1p-udef_binary64 |
| 138× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 28 |
| 1 | 245 | 22 |
| 2 | 3094 | 22 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (+.f64 1 (*.f64 x x))) |
(sqrt.f64 (-.f64 1 (pow.f64 x 4))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (+.f64 1 (*.f64 x x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 1 (pow.f64 x 3)) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x x -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 1 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 1 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 1 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4)))) (cbrt.f64 (-.f64 1 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 1/4) (pow.f64 (-.f64 1 (pow.f64 x 4)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 2)) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 8))) (hypot.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 12))) (hypot.f64 1 (hypot.f64 (*.f64 x x) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 x 4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 (neg.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (/.f64 1 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4)))) (/.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 1/4) (*.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 1/4) (/.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4)))) (/.f64 1 (neg.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 x)) (sqrt.f64 (-.f64 1 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4)))) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 1/4) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x 1))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (cbrt.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 1/4) (cbrt.f64 (fma.f64 x x 1))) (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 1/4) (cbrt.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (hypot.f64 1 x))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (hypot.f64 1 x))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4)))) (sqrt.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (neg.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (-.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 3/2) (pow.f64 (hypot.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) |
| 1× | egg-herbie |
| 412× | unswap-sqr_binary64 |
| 404× | fma-neg_binary64 |
| 394× | fma-def_binary64 |
| 371× | cancel-sign-sub-inv_binary64 |
| 270× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 742 |
| 1 | 315 | 697 |
| 2 | 903 | 672 |
| 3 | 3299 | 672 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 1/2 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4))))) |
x |
(+.f64 (*.f64 1/2 (/.f64 1 x)) x) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(*.f64 -1 x) |
(-.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) |
1 |
(+.f64 (*.f64 -1/2 (pow.f64 x 4)) 1) |
(+.f64 (*.f64 -1/2 (pow.f64 x 4)) (+.f64 1 (*.f64 -1/8 (pow.f64 x 8)))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -1/16 (pow.f64 x 12)) (*.f64 -1/8 (pow.f64 x 8))))) |
(*.f64 (sqrt.f64 -1) (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 6))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 10)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 6))))) |
(*.f64 (sqrt.f64 -1) (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 6))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 10)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 6))))) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4))))) |
(*.f64 (sqrt.f64 -1) x) |
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) |
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) |
(*.f64 -1 (*.f64 (sqrt.f64 -1) x)) |
(-.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x)))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x)))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 1/2 (*.f64 x x))) |
(fma.f64 1/2 (*.f64 x x) 1) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/8 (pow.f64 x 4)))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) 1)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 6) (*.f64 -1/8 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 6))))) |
x |
(+.f64 (*.f64 1/2 (/.f64 1 x)) x) |
(+.f64 x (/.f64 1/2 x)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3))) |
(+.f64 x (-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))) |
(+.f64 (+.f64 x (/.f64 1/2 x)) (/.f64 -1/8 (pow.f64 x 3))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 x (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3)))) |
(+.f64 x (+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3))))) |
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (+.f64 x (/.f64 1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))) |
(*.f64 -1 x) |
(neg.f64 x) |
(-.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (neg.f64 x) (/.f64 1/2 x)) |
(fma.f64 x -1 (/.f64 -1/2 x)) |
(-.f64 (/.f64 -1/2 x) x) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (neg.f64 x) (/.f64 1/2 x))) |
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) x) (/.f64 -1/2 x)) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) x)) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (neg.f64 x) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))) |
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) x) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5)))) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 -1/2 x) x) (/.f64 -1/16 (pow.f64 x 5)))) |
1 |
(+.f64 (*.f64 -1/2 (pow.f64 x 4)) 1) |
(fma.f64 -1/2 (pow.f64 x 4) 1) |
(fma.f64 (pow.f64 x 4) -1/2 1) |
(+.f64 (*.f64 -1/2 (pow.f64 x 4)) (+.f64 1 (*.f64 -1/8 (pow.f64 x 8)))) |
(+.f64 (fma.f64 -1/2 (pow.f64 x 4) 1) (*.f64 -1/8 (pow.f64 x 8))) |
(fma.f64 (pow.f64 x 4) -1/2 (fma.f64 -1/8 (pow.f64 x 8) 1)) |
(fma.f64 -1/8 (pow.f64 x 8) (fma.f64 (pow.f64 x 4) -1/2 1)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -1/16 (pow.f64 x 12)) (*.f64 -1/8 (pow.f64 x 8))))) |
(+.f64 (fma.f64 -1/2 (pow.f64 x 4) 1) (fma.f64 -1/16 (pow.f64 x 12) (*.f64 -1/8 (pow.f64 x 8)))) |
(+.f64 (fma.f64 -1/8 (pow.f64 x 8) (*.f64 -1/16 (pow.f64 x 12))) (fma.f64 (pow.f64 x 4) -1/2 1)) |
(fma.f64 (pow.f64 x 4) -1/2 (fma.f64 -1/8 (pow.f64 x 8) (fma.f64 -1/16 (pow.f64 x 12) 1))) |
(*.f64 (sqrt.f64 -1) (pow.f64 x 2)) |
(*.f64 (*.f64 x x) (sqrt.f64 -1)) |
(*.f64 x (*.f64 x (sqrt.f64 -1))) |
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))) |
(+.f64 (*.f64 (*.f64 x x) (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1)))) |
(fma.f64 (*.f64 x x) (sqrt.f64 -1) (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1)))) |
(fma.f64 x (*.f64 x (sqrt.f64 -1)) (/.f64 (/.f64 1/2 x) (*.f64 x (sqrt.f64 -1)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 6))))) |
(+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (-.f64 (*.f64 (*.f64 x x) (sqrt.f64 -1)) (/.f64 1/8 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 3))))) |
(+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (fma.f64 (*.f64 x x) (sqrt.f64 -1) (/.f64 -1/8 (*.f64 (pow.f64 x 6) (neg.f64 (sqrt.f64 -1)))))) |
(+.f64 (/.f64 (/.f64 1/2 x) (*.f64 x (sqrt.f64 -1))) (fma.f64 x (*.f64 x (sqrt.f64 -1)) (/.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 x 6)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 10)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 6))))) |
(+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (-.f64 (+.f64 (*.f64 (*.f64 x x) (sqrt.f64 -1)) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 10)))) (/.f64 1/8 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 3))))) |
(+.f64 (fma.f64 (*.f64 x x) (sqrt.f64 -1) (/.f64 (/.f64 1/16 (pow.f64 x 10)) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (/.f64 -1/8 (*.f64 (pow.f64 x 6) (neg.f64 (sqrt.f64 -1)))))) |
(+.f64 (/.f64 (/.f64 1/2 x) (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 10))) (fma.f64 x (*.f64 x (sqrt.f64 -1)) (/.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 x 6))))) |
(+.f64 (fma.f64 x (*.f64 x (sqrt.f64 -1)) (/.f64 (/.f64 1/2 x) (*.f64 x (sqrt.f64 -1)))) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 10))) (/.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 x 6)))) |
(*.f64 (sqrt.f64 -1) (pow.f64 x 2)) |
(*.f64 (*.f64 x x) (sqrt.f64 -1)) |
(*.f64 x (*.f64 x (sqrt.f64 -1))) |
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))) |
(+.f64 (*.f64 (*.f64 x x) (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1)))) |
(fma.f64 (*.f64 x x) (sqrt.f64 -1) (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1)))) |
(fma.f64 x (*.f64 x (sqrt.f64 -1)) (/.f64 (/.f64 1/2 x) (*.f64 x (sqrt.f64 -1)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 6))))) |
(+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (-.f64 (*.f64 (*.f64 x x) (sqrt.f64 -1)) (/.f64 1/8 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 3))))) |
(+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (fma.f64 (*.f64 x x) (sqrt.f64 -1) (/.f64 -1/8 (*.f64 (pow.f64 x 6) (neg.f64 (sqrt.f64 -1)))))) |
(+.f64 (/.f64 (/.f64 1/2 x) (*.f64 x (sqrt.f64 -1))) (fma.f64 x (*.f64 x (sqrt.f64 -1)) (/.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 x 6)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 10)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 6))))) |
(+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (-.f64 (+.f64 (*.f64 (*.f64 x x) (sqrt.f64 -1)) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 10)))) (/.f64 1/8 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 3))))) |
(+.f64 (fma.f64 (*.f64 x x) (sqrt.f64 -1) (/.f64 (/.f64 1/16 (pow.f64 x 10)) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (/.f64 -1/8 (*.f64 (pow.f64 x 6) (neg.f64 (sqrt.f64 -1)))))) |
(+.f64 (/.f64 (/.f64 1/2 x) (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 10))) (fma.f64 x (*.f64 x (sqrt.f64 -1)) (/.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 x 6))))) |
(+.f64 (fma.f64 x (*.f64 x (sqrt.f64 -1)) (/.f64 (/.f64 1/2 x) (*.f64 x (sqrt.f64 -1)))) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 10))) (/.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 x 6)))) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 (*.f64 x x) -1/2)) |
(fma.f64 (*.f64 x x) -1/2 1) |
(fma.f64 x (*.f64 x -1/2) 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/8 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 (*.f64 x x) -1/2 (*.f64 -1/8 (pow.f64 x 4)))) |
(fma.f64 x (*.f64 x -1/2) (fma.f64 -1/8 (pow.f64 x 4) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/16 (pow.f64 x 6) (*.f64 -1/8 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 (*.f64 x x) -1/2 (fma.f64 -1/8 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -1/16)))) |
(+.f64 1 (fma.f64 x (*.f64 x -1/2) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -1/16)))) |
(*.f64 (sqrt.f64 -1) x) |
(*.f64 x (sqrt.f64 -1)) |
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)) |
(+.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) |
(fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) |
(+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (-.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) |
(+.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)) (fma.f64 x (sqrt.f64 -1) (/.f64 -1/8 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))))) |
(+.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) |
(+.f64 (/.f64 1/16 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (-.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))) |
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))) (-.f64 (/.f64 1/16 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 1/8 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))))) |
(+.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 x 3))))) |
(+.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)) (+.f64 (/.f64 (/.f64 1/16 (pow.f64 x 5)) (pow.f64 (sqrt.f64 -1) 5)) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 x 3))))) |
(*.f64 -1 (*.f64 (sqrt.f64 -1) x)) |
(neg.f64 (*.f64 x (sqrt.f64 -1))) |
(*.f64 x (neg.f64 (sqrt.f64 -1))) |
(-.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x)))) |
(-.f64 (neg.f64 (*.f64 x (sqrt.f64 -1))) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) |
(neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x)))) |
(-.f64 (+.f64 (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (neg.f64 (*.f64 x (sqrt.f64 -1)))) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) |
(fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))))) |
(-.f64 (/.f64 -1/8 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))) |
(+.f64 (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (-.f64 (neg.f64 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (/.f64 1/16 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))))) |
(-.f64 (fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))))) (/.f64 1/16 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) |
(+.f64 (/.f64 -1/2 (*.f64 x (sqrt.f64 -1))) (-.f64 (/.f64 -1/8 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (fma.f64 x (sqrt.f64 -1) (/.f64 1/16 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))))) |
(+.f64 (/.f64 -1/2 (*.f64 x (sqrt.f64 -1))) (-.f64 (/.f64 -1/8 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/16 (pow.f64 x 5)) (pow.f64 (sqrt.f64 -1) 5))))) |
Compiled 2384 to 1867 computations (21.7% saved)
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 144 | 0 | 144 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 144 | 2 | 146 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (+.f64 1 (*.f64 x x)))) |
| ✓ | 0.0b | (exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2)) |
Compiled 23 to 18 computations (21.7% saved)
Total -0.0b remaining (-600%)
Threshold costs -0.0b (-600%)
| Inputs |
|---|
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (+.f64 1 (*.f64 x x)))) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2)) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2)) |
| Time | Error | Segments | Branch |
| 3.0ms | 0.0b | 1 | x |
| 4.0ms | 0.0b | 1 | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| 2.0ms | 0.0b | 1 | (-.f64 1 (*.f64 x x)) |
| 2.0ms | 0.0b | 1 | (*.f64 x x) |
Compiled 47 to 32 computations (31.9% saved)
| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 16 | 13 |
| 2 | 20 | 13 |
| 3 | 23 | 13 |
| 4 | 24 | 13 |
| 1× | saturated |
| Inputs |
|---|
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2)) |
| 1× | done |
Compiled 18 to 14 computations (22.2% saved)
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