Time bar (total: 2.7s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 50% | 50% | 0% | 3 |
| 75% | 25% | 0% | 4 |
| 87.5% | 12.5% | 0% | 5 |
| 93.7% | 6.2% | 0% | 6 |
| 96.8% | 3.1% | 0% | 7 |
| 98.4% | 1.6% | 0% | 8 |
| 99.2% | 0.8% | 0% | 9 |
| 99.6% | 0.4% | 0% | 10 |
| 99.8% | 0.2% | 0% | 11 |
| 99.9% | 0.1% | 0% | 12 |
Compiled 9 to 6 computations (33.3% saved)
| 821.0ms | 8247× | body | 64 | valid |
| 1.0ms | 9× | body | 128 | valid |
| 2× | egg-herbie |
| 1× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
| 1× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 10 | 8 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(/.f64 x (+.f64 (*.f64 x x) 1)) |
| Outputs |
|---|
(/.f64 x (+.f64 (*.f64 x x) 1)) |
(/.f64 x (fma.f64 x x 1)) |
Compiled 8 to 5 computations (37.5% saved)
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
| 1× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 10 | 8 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (+.f64 (*.f64 x x) 1)) |
| Outputs |
|---|
(/.f64 x (+.f64 (*.f64 x x) 1)) |
(/.f64 x (fma.f64 x x 1)) |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 14.2b | (/.f64 x (fma.f64 x x 1)) |
Compiled 28 to 16 computations (42.9% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 14.2b | (/.f64 x (fma.f64 x x 1)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 x (fma.f64 x x 1)) |
| 1.0ms | x | @ | 0 | (/.f64 x (fma.f64 x x 1)) |
| 1.0ms | x | @ | -inf | (/.f64 x (fma.f64 x x 1)) |
| 1× | batch-egg-rewrite |
| 499× | pow1_binary64 |
| 478× | add-sqr-sqrt_binary64 |
| 462× | add-log-exp_binary64 |
| 462× | log1p-expm1-u_binary64 |
| 462× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 8 |
| 1 | 98 | 8 |
| 2 | 1214 | 8 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (fma.f64 x x 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (fma.f64 x x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (fma.f64 x x 1))) (sqrt.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 1))) (/.f64 x (sqrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x 1) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1)))))))) |
| 1× | egg-herbie |
| 475× | fma-def_binary64 |
| 420× | times-frac_binary64 |
| 302× | associate-/l/_binary64 |
| 289× | distribute-rgt-neg-in_binary64 |
| 268× | sub-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 184 |
| 1 | 75 | 180 |
| 2 | 197 | 180 |
| 3 | 552 | 180 |
| 4 | 1468 | 180 |
| 5 | 3917 | 180 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (*.f64 -1 (pow.f64 x 7)) x))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(fma.f64 -1 (pow.f64 x 3) x) |
(-.f64 x (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x)) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) |
(-.f64 (+.f64 x (pow.f64 x 5)) (pow.f64 x 3)) |
(+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (*.f64 -1 (pow.f64 x 7)) x))) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 (pow.f64 x 5) (fma.f64 -1 (pow.f64 x 7) x))) |
(+.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 7)) (-.f64 x (pow.f64 x 3))) |
(+.f64 x (-.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 7)) (pow.f64 x 3))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7))))) |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 42 | 2 | 44 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 42 | 3 | 45 |
| Status | Error | Program |
|---|---|---|
| ▶ | 14.2b | (*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 1))) (/.f64 x (sqrt.f64 (fma.f64 x x 1)))) |
| ✓ | 14.2b | (/.f64 x (fma.f64 x x 1)) |
| 34.9b | (-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
Compiled 573 to 389 computations (32.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 1))) (/.f64 x (sqrt.f64 (fma.f64 x x 1)))) |
| ✓ | 0.0b | (/.f64 x (sqrt.f64 (fma.f64 x x 1))) |
| ✓ | 0.0b | (/.f64 1 (sqrt.f64 (fma.f64 x x 1))) |
| ✓ | 14.2b | (sqrt.f64 (fma.f64 x x 1)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (sqrt.f64 (fma.f64 x x 1)) |
| 0.0ms | x | @ | inf | (/.f64 x (sqrt.f64 (fma.f64 x x 1))) |
| 0.0ms | x | @ | 0 | (/.f64 1 (sqrt.f64 (fma.f64 x x 1))) |
| 0.0ms | x | @ | -inf | (/.f64 x (sqrt.f64 (fma.f64 x x 1))) |
| 0.0ms | x | @ | 0 | (/.f64 x (sqrt.f64 (fma.f64 x x 1))) |
| 1× | batch-egg-rewrite |
| 814× | pow1_binary64 |
| 757× | add-log-exp_binary64 |
| 757× | log1p-expm1-u_binary64 |
| 757× | expm1-log1p-u_binary64 |
| 739× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 35 |
| 1 | 166 | 33 |
| 2 | 2168 | 33 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (fma.f64 x x 1)) |
(/.f64 1 (sqrt.f64 (fma.f64 x x 1))) |
(/.f64 x (sqrt.f64 (fma.f64 x x 1))) |
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 1))) (/.f64 x (sqrt.f64 (fma.f64 x x 1)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x 1))) (cbrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x 1) 1/4) (pow.f64 (fma.f64 x x 1) 1/4))))) (#(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) (sqrt.f64 (fma.f64 x x 1)))))) (#(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 1 (pow.f64 (fma.f64 x x 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (pow.f64 (fma.f64 x x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 x x 1) 1/4) (pow.f64 (sqrt.f64 (fma.f64 x x 1)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (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 (sqrt.f64 (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x 1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x 1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x 1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (fma.f64 x x 1) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 x x 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x 1) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -1/2)) (cbrt.f64 (/.f64 1 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x 1))) (cbrt.f64 (pow.f64 (fma.f64 x x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x x 1)) -1/2) (pow.f64 (sqrt.f64 (fma.f64 x x 1)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x 1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 x x 1) 1/4) -1) (pow.f64 (pow.f64 (fma.f64 x x 1) 1/4) -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 (sqrt.f64 (fma.f64 x x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x 1) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (fma.f64 x x 1) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (fma.f64 x x 1)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 x x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x x 1) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (fma.f64 x x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x x 1) -1/2))))))) |
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| 1× | egg-herbie |
| 628× | associate-*l*_binary64 |
| 472× | associate-/r*_binary64 |
| 459× | fma-def_binary64 |
| 447× | associate-*r*_binary64 |
| 311× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 696 |
| 1 | 326 | 683 |
| 2 | 907 | 676 |
| 3 | 2622 | 676 |
| 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 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 3/8 (pow.f64 x 4)))) |
(+.f64 (*.f64 -5/16 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 3/8 (pow.f64 x 4))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 5/16 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 (pow.f64 x 3))))) |
(/.f64 -1 x) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5))))) |
(-.f64 (+.f64 (*.f64 5/16 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5))))) |
x |
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 3/8 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 3/8 (pow.f64 x 5)) (+.f64 (*.f64 -5/16 (pow.f64 x 7)) x))) |
1 |
(-.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 1 (*.f64 3/8 (/.f64 1 (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 1 (*.f64 3/8 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 5/16 (/.f64 1 (pow.f64 x 6))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
-1 |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) 1) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 1 (*.f64 3/8 (/.f64 1 (pow.f64 x 4))))) |
(-.f64 (+.f64 (*.f64 5/16 (/.f64 1 (pow.f64 x 6))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 3/8 (/.f64 1 (pow.f64 x 4))))) |
x |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (*.f64 -1 (pow.f64 x 7)) x))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
| 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)) |
(fma.f64 -1/8 (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) 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))))) |
(+.f64 (*.f64 1/16 (pow.f64 x 6)) (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) 1))) |
(+.f64 1 (fma.f64 -1/8 (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (*.f64 1/16 (pow.f64 x 6))))) |
x |
(+.f64 (*.f64 1/2 (/.f64 1 x)) x) |
(+.f64 x (/.f64 1/2 x)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1/2 x) (-.f64 x (/.f64 1/8 (pow.f64 x 3)))) |
(+.f64 x (+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 x (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/16 (pow.f64 x 5)))) (/.f64 -1/8 (pow.f64 x 3))) |
(+.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 -1/8 (pow.f64 x 3)))) |
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 x (+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3))))) |
(*.f64 -1 x) |
(neg.f64 x) |
(-.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (neg.f64 x) (/.f64 1/2 x)) |
(fma.f64 x -1 (/.f64 -1/2 x)) |
(-.f64 (/.f64 -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 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 3/8 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) 3/8))) |
(+.f64 1 (fma.f64 (*.f64 x x) -1/2 (*.f64 (pow.f64 x 4) 3/8))) |
(fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 4) 3/8 1)) |
(fma.f64 (pow.f64 x 4) 3/8 (fma.f64 x (*.f64 x -1/2) 1)) |
(+.f64 (*.f64 -5/16 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 3/8 (pow.f64 x 4))))) |
(fma.f64 -5/16 (pow.f64 x 6) (+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) 3/8)))) |
(+.f64 (fma.f64 (*.f64 x x) -1/2 (*.f64 (pow.f64 x 4) 3/8)) (fma.f64 (pow.f64 x 6) -5/16 1)) |
(fma.f64 (pow.f64 x 6) -5/16 (fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 4) 3/8 1))) |
(fma.f64 (pow.f64 x 6) -5/16 (fma.f64 (pow.f64 x 4) 3/8 (fma.f64 x (*.f64 x -1/2) 1))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (/.f64 -1/2 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 3/8 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 3/8 (pow.f64 x 5)) (/.f64 -1/2 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 5/16 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 3/8 (pow.f64 x 5)) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 5/16 (pow.f64 x 7))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 3/8 (pow.f64 x 5)) (-.f64 (/.f64 -5/16 (pow.f64 x 7)) (/.f64 1/2 (pow.f64 x 3))))) |
(-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (+.f64 (/.f64 5/16 (pow.f64 x 7)) (/.f64 -3/8 (pow.f64 x 5))))) |
(/.f64 -1 x) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) |
(-.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 1 x)) |
(+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 -1 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5))))) |
(-.f64 (-.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 3/8 (pow.f64 x 5))) |
(+.f64 (/.f64 1/2 (pow.f64 x 3)) (-.f64 (/.f64 -1 x) (/.f64 3/8 (pow.f64 x 5)))) |
(+.f64 (/.f64 1/2 (pow.f64 x 3)) (+.f64 (/.f64 -1 x) (/.f64 -3/8 (pow.f64 x 5)))) |
(-.f64 (+.f64 (*.f64 5/16 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5))))) |
(+.f64 (/.f64 5/16 (pow.f64 x 7)) (-.f64 (-.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 3/8 (pow.f64 x 5)))) |
(+.f64 (/.f64 5/16 (pow.f64 x 7)) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (-.f64 (/.f64 -1 x) (/.f64 3/8 (pow.f64 x 5))))) |
(+.f64 (/.f64 1/2 (pow.f64 x 3)) (+.f64 (/.f64 5/16 (pow.f64 x 7)) (+.f64 (/.f64 -1 x) (/.f64 -3/8 (pow.f64 x 5))))) |
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (+.f64 (/.f64 5/16 (pow.f64 x 7)) (/.f64 -3/8 (pow.f64 x 5))))) |
x |
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) x) |
(fma.f64 -1/2 (pow.f64 x 3) x) |
(fma.f64 (pow.f64 x 3) -1/2 x) |
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 3/8 (pow.f64 x 5)) x)) |
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 3/8 (pow.f64 x 5) x)) |
(fma.f64 (pow.f64 x 3) -1/2 (fma.f64 (pow.f64 x 5) 3/8 x)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 3/8 (pow.f64 x 5)) (+.f64 (*.f64 -5/16 (pow.f64 x 7)) x))) |
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 3/8 (pow.f64 x 5) (fma.f64 -5/16 (pow.f64 x 7) x))) |
(fma.f64 (pow.f64 x 3) -1/2 (fma.f64 (pow.f64 x 5) 3/8 (fma.f64 -5/16 (pow.f64 x 7) x))) |
(fma.f64 (pow.f64 x 3) -1/2 (fma.f64 -5/16 (pow.f64 x 7) (fma.f64 (pow.f64 x 5) 3/8 x))) |
1 |
(-.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 1 (/.f64 1/2 (*.f64 x x))) |
(+.f64 1 (/.f64 -1/2 (*.f64 x x))) |
(-.f64 (+.f64 1 (*.f64 3/8 (/.f64 1 (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 1 (/.f64 3/8 (pow.f64 x 4))) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (+.f64 1 (/.f64 3/8 (pow.f64 x 4))) (/.f64 -1/2 (*.f64 x x))) |
(+.f64 1 (+.f64 (/.f64 3/8 (pow.f64 x 4)) (/.f64 -1/2 (*.f64 x x)))) |
(-.f64 (+.f64 1 (*.f64 3/8 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 5/16 (/.f64 1 (pow.f64 x 6))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 1 (-.f64 (/.f64 3/8 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 5/16 (pow.f64 x 6))))) |
(+.f64 1 (+.f64 (/.f64 3/8 (pow.f64 x 4)) (+.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 -5/16 (pow.f64 x 6))))) |
(+.f64 (+.f64 1 (/.f64 3/8 (pow.f64 x 4))) (+.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 -5/16 (pow.f64 x 6)))) |
-1 |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) 1) |
(+.f64 (/.f64 1/2 (*.f64 x x)) -1) |
(+.f64 -1 (/.f64 1/2 (*.f64 x x))) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 1 (*.f64 3/8 (/.f64 1 (pow.f64 x 4))))) |
(-.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (/.f64 3/8 (pow.f64 x 4)))) |
(+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 -1 (/.f64 3/8 (pow.f64 x 4)))) |
(+.f64 -1 (-.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 3/8 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 5/16 (/.f64 1 (pow.f64 x 6))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 3/8 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 5/16 (pow.f64 x 6)) (-.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (/.f64 3/8 (pow.f64 x 4))))) |
(+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 (/.f64 5/16 (pow.f64 x 6)) (+.f64 1 (/.f64 3/8 (pow.f64 x 4))))) |
(+.f64 -1 (+.f64 (/.f64 -3/8 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 5/16 (pow.f64 x 6))))) |
(+.f64 -1 (+.f64 (/.f64 5/16 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 -3/8 (pow.f64 x 4))))) |
x |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(fma.f64 -1 (pow.f64 x 3) x) |
(-.f64 x (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x)) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) |
(-.f64 (+.f64 x (pow.f64 x 5)) (pow.f64 x 3)) |
(+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (*.f64 -1 (pow.f64 x 7)) x))) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 (pow.f64 x 5) (fma.f64 -1 (pow.f64 x 7) x))) |
(+.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 7)) (-.f64 x (pow.f64 x 3))) |
(+.f64 x (-.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 7)) (pow.f64 x 3))) |
(+.f64 x (-.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 7) (pow.f64 x 3)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(+.f64 (/.f64 -1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 -1 (pow.f64 x 7)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(+.f64 (/.f64 -1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 -1 (pow.f64 x 7)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7))))) |
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 251 | 1 | 252 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 252 | 3 | 255 |
| Status | Error | Program |
|---|---|---|
| ✓ | 14.2b | (*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 1))) (/.f64 x (sqrt.f64 (fma.f64 x x 1)))) |
| ✓ | 14.2b | (/.f64 x (fma.f64 x x 1)) |
| ▶ | 34.9b | (-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
Compiled 4781 to 3409 computations (28.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 1 (pow.f64 x 3)) |
| ✓ | 0.6b | (/.f64 1 (pow.f64 x 5)) |
| ✓ | 21.0b | (-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
| 1.0ms | x | @ | 0 | (/.f64 1 (pow.f64 x 5)) |
| 1.0ms | x | @ | -inf | (-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
| 1.0ms | x | @ | 0 | (/.f64 1 (pow.f64 x 3)) |
| 0.0ms | x | @ | -inf | (/.f64 1 (pow.f64 x 5)) |
| 1× | batch-egg-rewrite |
| 592× | fma-def_binary64 |
| 571× | log-prod_binary64 |
| 330× | fma-neg_binary64 |
| 226× | expm1-udef_binary64 |
| 226× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 24 |
| 1 | 294 | 24 |
| 2 | 4265 | 24 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(/.f64 1 (pow.f64 x 5)) |
(/.f64 1 (pow.f64 x 3)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x -3))) (cbrt.f64 (exp.f64 (pow.f64 x -3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3/2) (pow.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -3) (pow.f64 (cbrt.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 x) 3/2) (pow.f64 (/.f64 1 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -2) 1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -2) (pow.f64 x -1/2)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x -9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -3 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -3))))))) |
| 1× | egg-herbie |
| 1045× | fma-def_binary64 |
| 724× | unswap-sqr_binary64 |
| 460× | fma-neg_binary64 |
| 410× | distribute-neg-frac_binary64 |
| 381× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 57 |
| 1 | 29 | 57 |
| 2 | 53 | 57 |
| 3 | 112 | 57 |
| 4 | 235 | 57 |
| 5 | 679 | 57 |
| 6 | 2707 | 57 |
| 7 | 5719 | 57 |
| 8 | 7583 | 57 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (pow.f64 x 5)) |
(-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
| Outputs |
|---|
(/.f64 1 (pow.f64 x 5)) |
(-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) |
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 215 | 0 | 215 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 215 | 3 | 218 |
| Status | Error | Program |
|---|---|---|
| ✓ | 14.2b | (*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 1))) (/.f64 x (sqrt.f64 (fma.f64 x x 1)))) |
| ✓ | 14.2b | (/.f64 x (fma.f64 x x 1)) |
| ✓ | 34.9b | (-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
Compiled 4390 to 3392 computations (22.7% saved)
Total -49.1b remaining (-419052.3%)
Threshold costs -49.1b (-419052.3%)
| Inputs |
|---|
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 1))) (/.f64 x (sqrt.f64 (fma.f64 x x 1)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(/.f64 x (fma.f64 x x 1)) |
(/.f64 x (+.f64 (*.f64 x x) 1)) |
| Outputs |
|---|
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(/.f64 x (fma.f64 x x 1)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
| 11.0ms | 0.0b | x |
| 12.0ms | 0.0b | (/.f64 x (+.f64 (*.f64 x x) 1)) |
Compiled 69 to 48 computations (30.4% saved)
| 2× | binary-search |
2 calls:
| 16.0ms | x |
| 15.0ms | x |
| Iters | Point | Range | ||||
|---|---|---|---|---|---|---|
14.473664278818482 | ∈ [ | 14.473664278818482 | , | 6514.251104589743 | ] | |
-118281443495.18666 | ∈ [ | -118281443495.18666 | , | -154804.8543531647 | ] | |
Compiled 12 to 8 computations (33.3% saved)
| 1× | egg-herbie |
| 3× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 1× | *-commutative_binary64 |
| 1× | distribute-neg-frac_binary64 |
| 1× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 64 |
| 1 | 26 | 64 |
| 2 | 32 | 64 |
| 3 | 34 | 64 |
| 4 | 35 | 64 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x -7751692680900553/65536) (-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) (if (<=.f64 x 2036987157899143/140737488355328) (/.f64 x (fma.f64 x x 1)) (-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))))) |
| Outputs |
|---|
(if (<=.f64 x -7751692680900553/65536) (-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) (if (<=.f64 x 2036987157899143/140737488355328) (/.f64 x (fma.f64 x x 1)) (-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))))) |
(if (<=.f64 x -7751692680900553/65536) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 -1 (pow.f64 x 3))) (if (<=.f64 x 2036987157899143/140737488355328) (/.f64 x (fma.f64 x x 1)) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 -1 (pow.f64 x 3))))) |
| 1× | done |
Compiled 90 to 68 computations (24.4% saved)
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