Time bar (total: 4.7s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 49.6% | 50.4% | 0 |
| 49.6% | 0% | 50.4% | 1 |
Compiled 12 to 9 computations (25% saved)
| 2.8s | 4379× | body | 2048 | valid |
| 783.0ms | 2091× | body | 1024 | valid |
| 274.0ms | 1036× | body | 512 | valid |
| 121.0ms | 509× | body | 256 | valid |
| 24.0ms | 241× | body | 128 | valid |
Compiled 24 to 18 computations (25% saved)
| 2× | egg-herbie |
| 8× | sub-neg_binary64 |
| 6× | fma-def_binary64 |
| 4× | +-commutative_binary64 |
| 3× | associate-+l-_binary64 |
| 3× | associate--r+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 6 |
| 1 | 9 | 6 |
| 2 | 13 | 6 |
| 3 | 19 | 6 |
| 4 | 26 | 6 |
| 5 | 36 | 6 |
| 6 | 47 | 6 |
| 7 | 59 | 6 |
| 8 | 62 | 6 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(-.f64 1 (cos.f64 x)) |
| Outputs |
|---|
(-.f64 1 (cos.f64 x)) |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
| 8× | sub-neg_binary64 |
| 6× | fma-def_binary64 |
| 4× | +-commutative_binary64 |
| 3× | associate-+l-_binary64 |
| 3× | associate--r+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 6 |
| 1 | 9 | 6 |
| 2 | 13 | 6 |
| 3 | 19 | 6 |
| 4 | 26 | 6 |
| 5 | 36 | 6 |
| 6 | 47 | 6 |
| 7 | 59 | 6 |
| 8 | 62 | 6 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 1 (cos.f64 x)) |
| Outputs |
|---|
(-.f64 1 (cos.f64 x)) |
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 |
|---|---|---|
| ▶ | 30.8b | (-.f64 1 (cos.f64 x)) |
Compiled 15 to 12 computations (20% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 2.6b | (-.f64 1 (cos.f64 x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (-.f64 1 (cos.f64 x)) |
| 0.0ms | x | @ | -inf | (-.f64 1 (cos.f64 x)) |
| 0.0ms | x | @ | inf | (-.f64 1 (cos.f64 x)) |
| 1× | batch-egg-rewrite |
| 517× | pow1_binary64 |
| 481× | add-log-exp_binary64 |
| 481× | log1p-expm1-u_binary64 |
| 481× | expm1-log1p-u_binary64 |
| 472× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 6 |
| 1 | 102 | 6 |
| 2 | 1249 | 6 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (cos.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 1 (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x)))))))) |
| 1× | egg-herbie |
| 606× | distribute-rgt-neg-in_binary64 |
| 463× | associate-*l*_binary64 |
| 413× | unswap-sqr_binary64 |
| 360× | associate-*r*_binary64 |
| 317× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 76 |
| 1 | 59 | 72 |
| 2 | 157 | 70 |
| 3 | 573 | 70 |
| 4 | 3301 | 70 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (pow.f64 x 2)) |
(-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) |
(-.f64 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))) (*.f64 1/24 (pow.f64 x 4))) |
(-.f64 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 1/40320 (pow.f64 x 8)))) |
| Outputs |
|---|
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/24)) |
(fma.f64 (pow.f64 x 4) -1/24 (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))) |
(-.f64 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))) (*.f64 1/24 (pow.f64 x 4))) |
(-.f64 (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (*.f64 x x))) (*.f64 1/24 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 6) (fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/24))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 6) (*.f64 (pow.f64 x 4) -1/24))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6))) |
(-.f64 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 1/40320 (pow.f64 x 8)))) |
(-.f64 (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (*.f64 x x))) (fma.f64 1/24 (pow.f64 x 4) (*.f64 1/40320 (pow.f64 x 8)))) |
(+.f64 (fma.f64 1/720 (pow.f64 x 6) (fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/24))) (*.f64 -1/40320 (pow.f64 x 8))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 6) (fma.f64 (pow.f64 x 4) -1/24 (*.f64 (pow.f64 x 8) -1/40320)))) |
(fma.f64 (pow.f64 x 4) -1/24 (fma.f64 (pow.f64 x 8) -1/40320 (fma.f64 1/2 (*.f64 x x) (*.f64 1/720 (pow.f64 x 6))))) |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 34 | 2 | 36 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 35 | 2 | 37 |
| Status | Error | Program |
|---|---|---|
| 0.0b | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))) | |
| ▶ | 0.0b | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6))) |
Compiled 444 to 278 computations (37.4% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6))) |
| ✓ | 0.0b | (*.f64 1/720 (pow.f64 x 6)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 1/720 (pow.f64 x 6)) |
| 1.0ms | x | @ | inf | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6))) |
| 1.0ms | x | @ | inf | (*.f64 1/720 (pow.f64 x 6)) |
| 0.0ms | x | @ | 0 | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6))) |
| 0.0ms | x | @ | -inf | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6))) |
| 1× | batch-egg-rewrite |
| 882× | log1p-expm1-u_binary64 |
| 882× | expm1-log1p-u_binary64 |
| 110× | add-sqr-sqrt_binary64 |
| 105× | add-log-exp_binary64 |
| 104× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 28 |
| 1 | 230 | 28 |
| 2 | 2480 | 28 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/720 (pow.f64 x 6)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/720 (pow.f64 x 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/720 (pow.f64 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/720 (pow.f64 x 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (cbrt.f64 1/720)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/720) (pow.f64 x 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 12) 1/518400))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/720) (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/720 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/720 (pow.f64 x 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/720 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/720 (pow.f64 x 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/720 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/720 (pow.f64 x 6)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))) (*.f64 1/720 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))) 1) (*.f64 1/720 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6)))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6)))) 2) (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6)))) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))) 3) (pow.f64 (*.f64 1/720 (pow.f64 x 6)) 3)) (+.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2)))) (-.f64 (*.f64 (pow.f64 x 12) 1/518400) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))) (*.f64 1/720 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2)))) (*.f64 (pow.f64 x 12) 1/518400)) (-.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))) (*.f64 1/720 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6))))))))) |
| 1× | egg-herbie |
| 679× | distribute-rgt-neg-in_binary64 |
| 340× | cancel-sign-sub-inv_binary64 |
| 285× | unswap-sqr_binary64 |
| 275× | fma-neg_binary64 |
| 254× | *-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 207 |
| 1 | 47 | 189 |
| 2 | 103 | 189 |
| 3 | 314 | 189 |
| 4 | 1453 | 189 |
| 5 | 4374 | 189 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (pow.f64 x 2)) |
(-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) |
(-.f64 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))) (*.f64 1/24 (pow.f64 x 4))) |
(-.f64 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))) (*.f64 1/24 (pow.f64 x 4))) |
(*.f64 1/720 (pow.f64 x 6)) |
(-.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4))) |
(-.f64 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))) (*.f64 1/24 (pow.f64 x 4))) |
(-.f64 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))) (*.f64 1/24 (pow.f64 x 4))) |
(*.f64 1/720 (pow.f64 x 6)) |
(-.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4))) |
(-.f64 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))) (*.f64 1/24 (pow.f64 x 4))) |
(-.f64 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))) (*.f64 1/24 (pow.f64 x 4))) |
| Outputs |
|---|
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) |
(-.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 1/24 (pow.f64 x 4))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/24)) |
(fma.f64 (pow.f64 x 4) -1/24 (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))) |
(*.f64 x (fma.f64 1/2 x (*.f64 (pow.f64 x 3) -1/24))) |
(-.f64 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))) (*.f64 1/24 (pow.f64 x 4))) |
(+.f64 (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (*.f64 x x))) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 6) (fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/24))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/24 (*.f64 1/720 (pow.f64 x 6)))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6))) |
(-.f64 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))) (*.f64 1/24 (pow.f64 x 4))) |
(+.f64 (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (*.f64 x x))) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 6) (fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/24))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/24 (*.f64 1/720 (pow.f64 x 6)))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6))) |
(*.f64 1/720 (pow.f64 x 6)) |
(-.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 6) (*.f64 (pow.f64 x 4) -1/24)) |
(fma.f64 (pow.f64 x 4) -1/24 (*.f64 1/720 (pow.f64 x 6))) |
(-.f64 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))) (*.f64 1/24 (pow.f64 x 4))) |
(+.f64 (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (*.f64 x x))) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 6) (fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/24))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/24 (*.f64 1/720 (pow.f64 x 6)))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6))) |
(-.f64 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))) (*.f64 1/24 (pow.f64 x 4))) |
(+.f64 (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (*.f64 x x))) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 6) (fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/24))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/24 (*.f64 1/720 (pow.f64 x 6)))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6))) |
(*.f64 1/720 (pow.f64 x 6)) |
(-.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 6) (*.f64 (pow.f64 x 4) -1/24)) |
(fma.f64 (pow.f64 x 4) -1/24 (*.f64 1/720 (pow.f64 x 6))) |
(-.f64 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))) (*.f64 1/24 (pow.f64 x 4))) |
(+.f64 (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (*.f64 x x))) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 6) (fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/24))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/24 (*.f64 1/720 (pow.f64 x 6)))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6))) |
(-.f64 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))) (*.f64 1/24 (pow.f64 x 4))) |
(+.f64 (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (*.f64 x x))) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 6) (fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/24))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/24 (*.f64 1/720 (pow.f64 x 6)))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6))) |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 44 | 1 | 45 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 44 | 3 | 47 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))) |
| 0.3b | (pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6)))) 2) | |
| ✓ | 0.0b | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6))) |
Compiled 926 to 579 computations (37.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))) |
| 1.0ms | x | @ | inf | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))) |
| 0.0ms | x | @ | -inf | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))) |
| 1× | batch-egg-rewrite |
| 722× | pow1_binary64 |
| 672× | add-log-exp_binary64 |
| 672× | log1p-expm1-u_binary64 |
| 672× | expm1-log1p-u_binary64 |
| 79× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 14 |
| 1 | 163 | 14 |
| 2 | 1852 | 14 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x x)) (*.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x -1/24))) (*.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) -1/24 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 (*.f64 x x) -1/24 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 (*.f64 x x) -1/24 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (fma.f64 (*.f64 x x) -1/24 1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2)))))))) |
| 1× | egg-herbie |
| 872× | fma-def_binary64 |
| 666× | fma-neg_binary64 |
| 396× | distribute-rgt-neg-in_binary64 |
| 350× | cancel-sign-sub-inv_binary64 |
| 336× | distribute-lft-neg-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 165 |
| 1 | 28 | 147 |
| 2 | 62 | 147 |
| 3 | 188 | 147 |
| 4 | 710 | 147 |
| 5 | 1791 | 147 |
| 6 | 3056 | 147 |
| 7 | 4805 | 147 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (pow.f64 x 2)) |
(-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) |
(-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) |
(-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) |
(*.f64 -1/24 (pow.f64 x 4)) |
(-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) |
(-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) |
(-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) |
(*.f64 -1/24 (pow.f64 x 4)) |
(-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) |
(-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) |
(-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) |
| Outputs |
|---|
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (pow.f64 x 4) -1/24)) |
(fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/24)) |
(fma.f64 (pow.f64 x 4) -1/24 (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))) |
(-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (pow.f64 x 4) -1/24)) |
(fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/24)) |
(fma.f64 (pow.f64 x 4) -1/24 (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))) |
(-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (pow.f64 x 4) -1/24)) |
(fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/24)) |
(fma.f64 (pow.f64 x 4) -1/24 (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))) |
(*.f64 -1/24 (pow.f64 x 4)) |
(*.f64 (pow.f64 x 4) -1/24) |
(-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (pow.f64 x 4) -1/24)) |
(fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/24)) |
(fma.f64 (pow.f64 x 4) -1/24 (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))) |
(-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (pow.f64 x 4) -1/24)) |
(fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/24)) |
(fma.f64 (pow.f64 x 4) -1/24 (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))) |
(-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (pow.f64 x 4) -1/24)) |
(fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/24)) |
(fma.f64 (pow.f64 x 4) -1/24 (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))) |
(*.f64 -1/24 (pow.f64 x 4)) |
(*.f64 (pow.f64 x 4) -1/24) |
(-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (pow.f64 x 4) -1/24)) |
(fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/24)) |
(fma.f64 (pow.f64 x 4) -1/24 (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))) |
(-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (pow.f64 x 4) -1/24)) |
(fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/24)) |
(fma.f64 (pow.f64 x 4) -1/24 (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))) |
(-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (pow.f64 x 4) -1/24)) |
(fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/24)) |
(fma.f64 (pow.f64 x 4) -1/24 (*.f64 1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))) |
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 23 | 0 | 23 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 23 | 3 | 26 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))) |
| ▶ | 0.3b | (pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6)))) 2) |
| ✓ | 0.0b | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6))) |
Compiled 334 to 202 computations (39.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6))) | |
| 0.0b | (*.f64 1/720 (pow.f64 x 6)) | |
| ✓ | 0.3b | (pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6)))) 2) |
| ✓ | 28.8b | (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6)))) 2) |
| 2.0ms | x | @ | inf | (pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6)))) 2) |
| 2.0ms | x | @ | inf | (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6)))) |
| 1.0ms | x | @ | 0 | (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6)))) |
| 1.0ms | x | @ | -inf | (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6)))) |
| 1× | batch-egg-rewrite |
| 457× | log-prod_binary64 |
| 205× | expm1-udef_binary64 |
| 205× | log1p-udef_binary64 |
| 184× | pow3_binary64 |
| 168× | log-pow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 44 |
| 1 | 293 | 44 |
| 2 | 2861 | 44 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6)))) |
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6)))) 2) |
| Outputs |
|---|
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egg-rr> (2) ((x fma.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/720 (pow.f64 x 3)) (pow.f64 x 3) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)) (*.f64 1/720 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)) (*.f64 1/720 (pow.f64 x 6))))))))) |
| 1× | egg-herbie |
| 968× | fma-neg_binary64 |
| 313× | fma-def_binary64 |
| 225× | associate-/r*_binary64 |
| 209× | associate-*r*_binary64 |
| 201× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 721 |
| 1 | 291 | 612 |
| 2 | 981 | 578 |
| 3 | 4247 | 576 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 1/2) x) |
(-.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 1/48 (/.f64 (pow.f64 x 3) (sqrt.f64 1/2)))) |
(-.f64 (+.f64 (*.f64 1/1440 (/.f64 (pow.f64 x 5) (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) x)) (+.f64 (*.f64 1/4608 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 1/48 (/.f64 (pow.f64 x 3) (sqrt.f64 1/2))))) |
(-.f64 (+.f64 (*.f64 1/1440 (/.f64 (pow.f64 x 5) (sqrt.f64 1/2))) (+.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 1/69120 (/.f64 (pow.f64 x 7) (pow.f64 (sqrt.f64 1/2) 3))))) (+.f64 (*.f64 1/4608 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (*.f64 1/221184 (/.f64 (pow.f64 x 7) (pow.f64 (sqrt.f64 1/2) 5))) (*.f64 1/48 (/.f64 (pow.f64 x 3) (sqrt.f64 1/2)))))) |
(*.f64 (sqrt.f64 1/720) (pow.f64 x 3)) |
(-.f64 (*.f64 (sqrt.f64 1/720) (pow.f64 x 3)) (*.f64 1/48 (/.f64 x (sqrt.f64 1/720)))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/720) x))) (*.f64 (sqrt.f64 1/720) (pow.f64 x 3))) (+.f64 (*.f64 1/4608 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/720) 3) x))) (*.f64 1/48 (/.f64 x (sqrt.f64 1/720))))) |
(-.f64 (+.f64 (*.f64 1/192 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/720) 3) (pow.f64 x 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/720) x))) (*.f64 (sqrt.f64 1/720) (pow.f64 x 3)))) (+.f64 (*.f64 1/4608 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/720) 3) x))) (+.f64 (*.f64 1/48 (/.f64 x (sqrt.f64 1/720))) (*.f64 1/221184 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/720) 5) (pow.f64 x 3))))))) |
(*.f64 -1 (*.f64 (sqrt.f64 1/720) (pow.f64 x 3))) |
(-.f64 (*.f64 1/48 (/.f64 x (sqrt.f64 1/720))) (*.f64 (sqrt.f64 1/720) (pow.f64 x 3))) |
(-.f64 (+.f64 (*.f64 1/4608 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/720) 3) x))) (*.f64 1/48 (/.f64 x (sqrt.f64 1/720)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/720) x))) (*.f64 (sqrt.f64 1/720) (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1/4608 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/720) 3) x))) (+.f64 (*.f64 1/48 (/.f64 x (sqrt.f64 1/720))) (*.f64 1/221184 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/720) 5) (pow.f64 x 3)))))) (+.f64 (*.f64 1/192 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/720) 3) (pow.f64 x 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/720) x))) (*.f64 (sqrt.f64 1/720) (pow.f64 x 3))))) |
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2)) |
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) |
(-.f64 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))) (*.f64 1/24 (pow.f64 x 4))) |
(-.f64 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))) (*.f64 1/24 (pow.f64 x 4))) |
(*.f64 (pow.f64 (sqrt.f64 1/720) 2) (pow.f64 x 6)) |
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/720) 2) (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4))) |
(-.f64 (+.f64 (*.f64 (pow.f64 (sqrt.f64 1/720) 2) (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))) (*.f64 1/24 (pow.f64 x 4))) |
(-.f64 (+.f64 (*.f64 (pow.f64 (sqrt.f64 1/720) 2) (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))) (*.f64 1/24 (pow.f64 x 4))) |
(*.f64 (pow.f64 (sqrt.f64 1/720) 2) (pow.f64 x 6)) |
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/720) 2) (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4))) |
(-.f64 (+.f64 (*.f64 (pow.f64 (sqrt.f64 1/720) 2) (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))) (*.f64 1/24 (pow.f64 x 4))) |
(-.f64 (+.f64 (*.f64 (pow.f64 (sqrt.f64 1/720) 2) (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))) (*.f64 1/24 (pow.f64 x 4))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 1/2) x) |
(-.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 1/48 (/.f64 (pow.f64 x 3) (sqrt.f64 1/2)))) |
(+.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (sqrt.f64 1/2)))) |
(fma.f64 (sqrt.f64 1/2) x (*.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 1/2)) -1/48)) |
(-.f64 (+.f64 (*.f64 1/1440 (/.f64 (pow.f64 x 5) (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) x)) (+.f64 (*.f64 1/4608 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 1/48 (/.f64 (pow.f64 x 3) (sqrt.f64 1/2))))) |
(-.f64 (fma.f64 1/1440 (/.f64 (pow.f64 x 5) (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) x)) (fma.f64 1/4608 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 1/2) 3)) (*.f64 1/48 (/.f64 (pow.f64 x 3) (sqrt.f64 1/2))))) |
(-.f64 (fma.f64 (sqrt.f64 1/2) x (*.f64 1/1440 (/.f64 (pow.f64 x 5) (sqrt.f64 1/2)))) (fma.f64 1/48 (/.f64 (pow.f64 x 3) (sqrt.f64 1/2)) (*.f64 1/2304 (/.f64 (pow.f64 x 5) (sqrt.f64 1/2))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 1/2)) -1/48) (fma.f64 (sqrt.f64 1/2) x (*.f64 (/.f64 (pow.f64 x 5) (sqrt.f64 1/2)) 1/3840))) |
(fma.f64 (sqrt.f64 1/2) x (fma.f64 (/.f64 (pow.f64 x 5) (sqrt.f64 1/2)) 1/3840 (*.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 1/2)) -1/48))) |
(-.f64 (+.f64 (*.f64 1/1440 (/.f64 (pow.f64 x 5) (sqrt.f64 1/2))) (+.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 1/69120 (/.f64 (pow.f64 x 7) (pow.f64 (sqrt.f64 1/2) 3))))) (+.f64 (*.f64 1/4608 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (*.f64 1/221184 (/.f64 (pow.f64 x 7) (pow.f64 (sqrt.f64 1/2) 5))) (*.f64 1/48 (/.f64 (pow.f64 x 3) (sqrt.f64 1/2)))))) |
(-.f64 (fma.f64 1/1440 (/.f64 (pow.f64 x 5) (sqrt.f64 1/2)) (fma.f64 (sqrt.f64 1/2) x (*.f64 1/69120 (/.f64 (pow.f64 x 7) (pow.f64 (sqrt.f64 1/2) 3))))) (fma.f64 1/4608 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 1/2) 3)) (fma.f64 1/221184 (/.f64 (pow.f64 x 7) (pow.f64 (sqrt.f64 1/2) 5)) (*.f64 1/48 (/.f64 (pow.f64 x 3) (sqrt.f64 1/2)))))) |
(-.f64 (fma.f64 1/1440 (/.f64 (pow.f64 x 5) (sqrt.f64 1/2)) (fma.f64 (sqrt.f64 1/2) x (*.f64 1/34560 (/.f64 (pow.f64 x 7) (sqrt.f64 1/2))))) (+.f64 (*.f64 1/2304 (/.f64 (pow.f64 x 5) (sqrt.f64 1/2))) (fma.f64 1/48 (/.f64 (pow.f64 x 3) (sqrt.f64 1/2)) (*.f64 1/221184 (/.f64 (pow.f64 x 7) (pow.f64 (sqrt.f64 1/2) 5)))))) |
(+.f64 (fma.f64 (sqrt.f64 1/2) x (*.f64 1/34560 (/.f64 (pow.f64 x 7) (sqrt.f64 1/2)))) (-.f64 (*.f64 (/.f64 (pow.f64 x 5) (sqrt.f64 1/2)) 1/3840) (fma.f64 1/48 (/.f64 (pow.f64 x 3) (sqrt.f64 1/2)) (*.f64 1/221184 (/.f64 (pow.f64 x 7) (pow.f64 (sqrt.f64 1/2) 5)))))) |
(*.f64 (sqrt.f64 1/720) (pow.f64 x 3)) |
(*.f64 (pow.f64 x 3) (sqrt.f64 1/720)) |
(-.f64 (*.f64 (sqrt.f64 1/720) (pow.f64 x 3)) (*.f64 1/48 (/.f64 x (sqrt.f64 1/720)))) |
(+.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/720)) (*.f64 -1/48 (/.f64 x (sqrt.f64 1/720)))) |
(fma.f64 (pow.f64 x 3) (sqrt.f64 1/720) (*.f64 (/.f64 x (sqrt.f64 1/720)) -1/48)) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/720) x))) (*.f64 (sqrt.f64 1/720) (pow.f64 x 3))) (+.f64 (*.f64 1/4608 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/720) 3) x))) (*.f64 1/48 (/.f64 x (sqrt.f64 1/720))))) |
(+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/720))) (-.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/720)) (+.f64 (*.f64 1/48 (/.f64 x (sqrt.f64 1/720))) (/.f64 1/4608 (*.f64 x (pow.f64 (sqrt.f64 1/720) 3)))))) |
(-.f64 (fma.f64 (pow.f64 x 3) (sqrt.f64 1/720) (/.f64 1/4 (*.f64 x (sqrt.f64 1/720)))) (fma.f64 1/48 (/.f64 x (sqrt.f64 1/720)) (/.f64 (/.f64 1/4608 x) (*.f64 (sqrt.f64 1/720) 1/720)))) |
(-.f64 (fma.f64 (pow.f64 x 3) (sqrt.f64 1/720) (/.f64 1/4 (*.f64 x (sqrt.f64 1/720)))) (fma.f64 1/48 (/.f64 x (sqrt.f64 1/720)) (/.f64 5/32 (*.f64 x (sqrt.f64 1/720))))) |
(-.f64 (+.f64 (*.f64 1/192 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/720) 3) (pow.f64 x 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/720) x))) (*.f64 (sqrt.f64 1/720) (pow.f64 x 3)))) (+.f64 (*.f64 1/4608 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/720) 3) x))) (+.f64 (*.f64 1/48 (/.f64 x (sqrt.f64 1/720))) (*.f64 1/221184 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/720) 5) (pow.f64 x 3))))))) |
(-.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/720)) (/.f64 1/4 (*.f64 x (sqrt.f64 1/720)))) (/.f64 1/192 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/720) 3)))) (+.f64 (/.f64 1/4608 (*.f64 x (pow.f64 (sqrt.f64 1/720) 3))) (fma.f64 1/48 (/.f64 x (sqrt.f64 1/720)) (/.f64 1/221184 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/720) 5)))))) |
(-.f64 (fma.f64 1/192 (/.f64 (/.f64 720 (sqrt.f64 1/720)) (pow.f64 x 3)) (fma.f64 (pow.f64 x 3) (sqrt.f64 1/720) (/.f64 1/4 (*.f64 x (sqrt.f64 1/720))))) (fma.f64 1/4608 (/.f64 (/.f64 720 (sqrt.f64 1/720)) x) (fma.f64 1/48 (/.f64 x (sqrt.f64 1/720)) (/.f64 1/221184 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/720) 5)))))) |
(+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/720))) (-.f64 (fma.f64 (pow.f64 x 3) (sqrt.f64 1/720) (/.f64 (/.f64 15/4 (sqrt.f64 1/720)) (pow.f64 x 3))) (+.f64 (/.f64 5/32 (*.f64 x (sqrt.f64 1/720))) (fma.f64 1/48 (/.f64 x (sqrt.f64 1/720)) (/.f64 1/221184 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/720) 5))))))) |
(*.f64 -1 (*.f64 (sqrt.f64 1/720) (pow.f64 x 3))) |
(neg.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/720))) |
(*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 1/720))) |
(-.f64 (*.f64 1/48 (/.f64 x (sqrt.f64 1/720))) (*.f64 (sqrt.f64 1/720) (pow.f64 x 3))) |
(-.f64 (*.f64 1/48 (/.f64 x (sqrt.f64 1/720))) (*.f64 (pow.f64 x 3) (sqrt.f64 1/720))) |
(fma.f64 1/48 (/.f64 x (sqrt.f64 1/720)) (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 1/720)))) |
(-.f64 (+.f64 (*.f64 1/4608 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/720) 3) x))) (*.f64 1/48 (/.f64 x (sqrt.f64 1/720)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/720) x))) (*.f64 (sqrt.f64 1/720) (pow.f64 x 3)))) |
(+.f64 (/.f64 1/4608 (*.f64 x (pow.f64 (sqrt.f64 1/720) 3))) (-.f64 (*.f64 1/48 (/.f64 x (sqrt.f64 1/720))) (+.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/720)) (/.f64 1/4 (*.f64 x (sqrt.f64 1/720)))))) |
(-.f64 (fma.f64 1/48 (/.f64 x (sqrt.f64 1/720)) (/.f64 (/.f64 1/4608 x) (*.f64 (sqrt.f64 1/720) 1/720))) (fma.f64 (pow.f64 x 3) (sqrt.f64 1/720) (/.f64 1/4 (*.f64 x (sqrt.f64 1/720))))) |
(-.f64 (fma.f64 1/48 (/.f64 x (sqrt.f64 1/720)) (/.f64 5/32 (*.f64 x (sqrt.f64 1/720)))) (fma.f64 (pow.f64 x 3) (sqrt.f64 1/720) (/.f64 1/4 (*.f64 x (sqrt.f64 1/720))))) |
(-.f64 (+.f64 (*.f64 1/4608 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/720) 3) x))) (+.f64 (*.f64 1/48 (/.f64 x (sqrt.f64 1/720))) (*.f64 1/221184 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/720) 5) (pow.f64 x 3)))))) (+.f64 (*.f64 1/192 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/720) 3) (pow.f64 x 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/720) x))) (*.f64 (sqrt.f64 1/720) (pow.f64 x 3))))) |
(+.f64 (/.f64 1/4608 (*.f64 x (pow.f64 (sqrt.f64 1/720) 3))) (-.f64 (fma.f64 1/48 (/.f64 x (sqrt.f64 1/720)) (/.f64 1/221184 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/720) 5)))) (+.f64 (+.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/720)) (/.f64 1/4 (*.f64 x (sqrt.f64 1/720)))) (/.f64 1/192 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/720) 3)))))) |
(-.f64 (fma.f64 1/4608 (/.f64 (/.f64 720 (sqrt.f64 1/720)) x) (fma.f64 1/48 (/.f64 x (sqrt.f64 1/720)) (/.f64 1/221184 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/720) 5))))) (fma.f64 1/192 (/.f64 (/.f64 720 (sqrt.f64 1/720)) (pow.f64 x 3)) (fma.f64 (pow.f64 x 3) (sqrt.f64 1/720) (/.f64 1/4 (*.f64 x (sqrt.f64 1/720)))))) |
(+.f64 (fma.f64 1/48 (/.f64 x (sqrt.f64 1/720)) (/.f64 5/32 (*.f64 x (sqrt.f64 1/720)))) (+.f64 (/.f64 1/221184 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/720) 5))) (-.f64 (/.f64 -1/4 (*.f64 x (sqrt.f64 1/720))) (fma.f64 (pow.f64 x 3) (sqrt.f64 1/720) (/.f64 (/.f64 15/4 (sqrt.f64 1/720)) (pow.f64 x 3)))))) |
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 x x)) |
(*.f64 x (*.f64 x 1/2)) |
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 x x)) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/24)) |
(fma.f64 x (*.f64 x 1/2) (*.f64 (pow.f64 x 4) -1/24)) |
(-.f64 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))) (*.f64 1/24 (pow.f64 x 4))) |
(+.f64 (fma.f64 1/720 (pow.f64 x 6) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 x x))) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 (pow.f64 x 6) 1/720 (fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/24))) |
(fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 4) -1/24 (*.f64 (pow.f64 x 6) 1/720))) |
(fma.f64 (pow.f64 x 6) 1/720 (fma.f64 x (*.f64 x 1/2) (*.f64 (pow.f64 x 4) -1/24))) |
(-.f64 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))) (*.f64 1/24 (pow.f64 x 4))) |
(+.f64 (fma.f64 1/720 (pow.f64 x 6) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 x x))) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 (pow.f64 x 6) 1/720 (fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/24))) |
(fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 4) -1/24 (*.f64 (pow.f64 x 6) 1/720))) |
(fma.f64 (pow.f64 x 6) 1/720 (fma.f64 x (*.f64 x 1/2) (*.f64 (pow.f64 x 4) -1/24))) |
(*.f64 (pow.f64 (sqrt.f64 1/720) 2) (pow.f64 x 6)) |
(*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 1/720) 2)) |
(*.f64 (pow.f64 x 6) 1/720) |
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/720) 2) (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 1/720) 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 (pow.f64 x 6) 1/720 (*.f64 (pow.f64 x 4) -1/24)) |
(fma.f64 (pow.f64 x 4) -1/24 (*.f64 (pow.f64 x 6) 1/720)) |
(-.f64 (+.f64 (*.f64 (pow.f64 (sqrt.f64 1/720) 2) (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))) (*.f64 1/24 (pow.f64 x 4))) |
(+.f64 (fma.f64 1/720 (pow.f64 x 6) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 x x))) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 (pow.f64 x 6) 1/720 (fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/24))) |
(fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 4) -1/24 (*.f64 (pow.f64 x 6) 1/720))) |
(fma.f64 (pow.f64 x 6) 1/720 (fma.f64 x (*.f64 x 1/2) (*.f64 (pow.f64 x 4) -1/24))) |
(-.f64 (+.f64 (*.f64 (pow.f64 (sqrt.f64 1/720) 2) (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))) (*.f64 1/24 (pow.f64 x 4))) |
(+.f64 (fma.f64 1/720 (pow.f64 x 6) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 x x))) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 (pow.f64 x 6) 1/720 (fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/24))) |
(fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 4) -1/24 (*.f64 (pow.f64 x 6) 1/720))) |
(fma.f64 (pow.f64 x 6) 1/720 (fma.f64 x (*.f64 x 1/2) (*.f64 (pow.f64 x 4) -1/24))) |
(*.f64 (pow.f64 (sqrt.f64 1/720) 2) (pow.f64 x 6)) |
(*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 1/720) 2)) |
(*.f64 (pow.f64 x 6) 1/720) |
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/720) 2) (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 1/720) 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 (pow.f64 x 6) 1/720 (*.f64 (pow.f64 x 4) -1/24)) |
(fma.f64 (pow.f64 x 4) -1/24 (*.f64 (pow.f64 x 6) 1/720)) |
(-.f64 (+.f64 (*.f64 (pow.f64 (sqrt.f64 1/720) 2) (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))) (*.f64 1/24 (pow.f64 x 4))) |
(+.f64 (fma.f64 1/720 (pow.f64 x 6) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 x x))) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 (pow.f64 x 6) 1/720 (fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/24))) |
(fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 4) -1/24 (*.f64 (pow.f64 x 6) 1/720))) |
(fma.f64 (pow.f64 x 6) 1/720 (fma.f64 x (*.f64 x 1/2) (*.f64 (pow.f64 x 4) -1/24))) |
(-.f64 (+.f64 (*.f64 (pow.f64 (sqrt.f64 1/720) 2) (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))) (*.f64 1/24 (pow.f64 x 4))) |
(+.f64 (fma.f64 1/720 (pow.f64 x 6) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 x x))) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 (pow.f64 x 6) 1/720 (fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/24))) |
(fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 4) -1/24 (*.f64 (pow.f64 x 6) 1/720))) |
(fma.f64 (pow.f64 x 6) 1/720 (fma.f64 x (*.f64 x 1/2) (*.f64 (pow.f64 x 4) -1/24))) |
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 160 | 0 | 160 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 160 | 3 | 163 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))) |
| ✓ | 0.3b | (pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6)))) 2) |
| ✓ | 0.0b | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/24 1/2) (*.f64 1/720 (pow.f64 x 6))) |
Compiled 3809 to 2805 computations (26.4% saved)
Total -0.0b remaining (-40%)
Threshold costs -0.0b (-40%)
Compiled 551 to 376 computations (31.8% saved)
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 21 |
| 1 | 15 | 21 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (pow.f64 x 6) 1/720 (fma.f64 x (*.f64 x 1/2) (*.f64 (pow.f64 x 4) -1/24))) |
| Outputs |
|---|
(fma.f64 (pow.f64 x 6) 1/720 (fma.f64 x (*.f64 x 1/2) (*.f64 (pow.f64 x 4) -1/24))) |
| 1× | done |
Compiled 78 to 54 computations (30.8% saved)
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