Time bar (total: 2.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 0 |
| 100% | 25% | 0% | 75% | 0% | 0% | 0% | 1 |
Compiled 17 to 9 computations (47.1% saved)
| 635.0ms | 8256× | body | 256 | valid |
| 2× | egg-herbie |
| 3512× | sqr-pow |
| 1426× | pow-sqr |
| 1160× | cube-prod |
| 742× | fabs-mul |
| 736× | cube-mult |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 19 |
| 1 | 17 | 15 |
| 2 | 34 | 15 |
| 3 | 47 | 15 |
| 4 | 66 | 15 |
| 5 | 124 | 15 |
| 6 | 222 | 15 |
| 7 | 644 | 15 |
| 8 | 1046 | 15 |
| 9 | 1134 | 15 |
| 10 | 1271 | 15 |
| 11 | 1433 | 15 |
| 12 | 1671 | 15 |
| 13 | 1984 | 15 |
| 14 | 2379 | 15 |
| 15 | 2852 | 15 |
| 16 | 3391 | 15 |
| 17 | 4031 | 15 |
| 18 | 4252 | 15 |
| 19 | 4448 | 15 |
| 20 | 4588 | 15 |
| 21 | 4674 | 15 |
| 22 | 4732 | 15 |
| 23 | 5622 | 15 |
| 24 | 6672 | 15 |
| 25 | 6974 | 15 |
| 26 | 7268 | 15 |
| 27 | 7400 | 15 |
| 28 | 7410 | 15 |
| 29 | 7410 | 15 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(+.f64 (*.f64 x x) (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(fma.f64 x x (pow.f64 x 3)) |
Compiled 11 to 5 computations (54.5% saved)
| 1× | egg-herbie |
| 3512× | sqr-pow |
| 1426× | pow-sqr |
| 1160× | cube-prod |
| 742× | fabs-mul |
| 736× | cube-mult |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 19 |
| 1 | 17 | 15 |
| 2 | 34 | 15 |
| 3 | 47 | 15 |
| 4 | 66 | 15 |
| 5 | 124 | 15 |
| 6 | 222 | 15 |
| 7 | 644 | 15 |
| 8 | 1046 | 15 |
| 9 | 1134 | 15 |
| 10 | 1271 | 15 |
| 11 | 1433 | 15 |
| 12 | 1671 | 15 |
| 13 | 1984 | 15 |
| 14 | 2379 | 15 |
| 15 | 2852 | 15 |
| 16 | 3391 | 15 |
| 17 | 4031 | 15 |
| 18 | 4252 | 15 |
| 19 | 4448 | 15 |
| 20 | 4588 | 15 |
| 21 | 4674 | 15 |
| 22 | 4732 | 15 |
| 23 | 5622 | 15 |
| 24 | 6672 | 15 |
| 25 | 6974 | 15 |
| 26 | 7268 | 15 |
| 27 | 7400 | 15 |
| 28 | 7410 | 15 |
| 29 | 7410 | 15 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(+.f64 (*.f64 x x) (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(fma.f64 x x (pow.f64 x 3)) |
Compiled 29 to 12 computations (58.6% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 3 | 4 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 4 | 5 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (fma.f64 x x (pow.f64 x 3)) |
| ▶ | 0.0b | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| ▶ | 0.0b | (*.f64 x (fma.f64 x x x)) |
Compiled 24 to 11 computations (54.2% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 x (fma.f64 x x x)) |
Compiled 12 to 3 computations (75% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 x (fma.f64 x x x)) |
| 0.0ms | x | @ | inf | (*.f64 x (fma.f64 x x x)) |
| 0.0ms | x | @ | 0 | (*.f64 x (fma.f64 x x x)) |
| 1× | batch-egg-rewrite |
| 1134× | add-sqr-sqrt |
| 1124× | *-un-lft-identity |
| 1060× | pow1 |
| 1036× | add-cube-cbrt |
| 1020× | add-cbrt-cube |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 1 | 118 | 15 |
| 2 | 1405 | 15 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (fma.f64 x x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 3) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 x x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x x x)))))))) |
| 1× | egg-herbie |
| 1132× | log-prod |
| 1116× | distribute-lft-out |
| 904× | *-commutative |
| 896× | fma-def |
| 662× | +-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 420 |
| 1 | 91 | 336 |
| 2 | 303 | 336 |
| 3 | 1932 | 336 |
| 4 | 4527 | 336 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 x 2) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(pow.f64 x 3) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(pow.f64 x 3) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 3) (*.f64 x x)) |
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x x x))) 1) |
(pow.f64 (*.f64 x (fma.f64 x x x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x x x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 3) |
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x))) |
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x x x)))) |
(exp.f64 (log.f64 (*.f64 x (fma.f64 x x x)))) |
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x x x)))) |
| Outputs |
|---|
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 3) (*.f64 x x)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 3) (*.f64 x x)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 3) (*.f64 x x)) |
(*.f64 x (fma.f64 x x x)) |
(pow.f64 x 3) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 3) (*.f64 x x)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 3) (*.f64 x x)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 3) (*.f64 x x)) |
(*.f64 x (fma.f64 x x x)) |
(pow.f64 x 3) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 3) (*.f64 x x)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 3) (*.f64 x x)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 3) (*.f64 x x)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 3) (*.f64 x x)) |
(*.f64 x (fma.f64 x x x)) |
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x x x))) 1) |
(+.f64 (pow.f64 x 3) (*.f64 x x)) |
(*.f64 x (fma.f64 x x x)) |
(pow.f64 (*.f64 x (fma.f64 x x x)) 1) |
(+.f64 (pow.f64 x 3) (*.f64 x x)) |
(*.f64 x (fma.f64 x x x)) |
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x x x))) 2) |
(+.f64 (pow.f64 x 3) (*.f64 x x)) |
(*.f64 x (fma.f64 x x x)) |
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 3) |
(+.f64 (pow.f64 x 3) (*.f64 x x)) |
(*.f64 x (fma.f64 x x x)) |
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3) 1/3) |
(+.f64 (pow.f64 x 3) (*.f64 x x)) |
(*.f64 x (fma.f64 x x x)) |
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 2)) |
(+.f64 (pow.f64 x 3) (*.f64 x x)) |
(*.f64 x (fma.f64 x x x)) |
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x))) |
(+.f64 (pow.f64 x 3) (*.f64 x x)) |
(*.f64 x (fma.f64 x x x)) |
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3)) |
(+.f64 (pow.f64 x 3) (*.f64 x x)) |
(*.f64 x (fma.f64 x x x)) |
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x x x)))) |
(+.f64 (pow.f64 x 3) (*.f64 x x)) |
(*.f64 x (fma.f64 x x x)) |
(exp.f64 (log.f64 (*.f64 x (fma.f64 x x x)))) |
(+.f64 (pow.f64 x 3) (*.f64 x x)) |
(*.f64 x (fma.f64 x x x)) |
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x x x)))) |
(+.f64 (pow.f64 x 3) (*.f64 x x)) |
(*.f64 x (fma.f64 x x x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| ✓ | 0.1b | (*.f64 x (*.f64 x x)) |
Compiled 19 to 4 computations (78.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 x (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (*.f64 x (*.f64 x x)) |
| 0.0ms | x | @ | inf | (*.f64 x (*.f64 x x)) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1410× | add-sqr-sqrt |
| 1388× | *-un-lft-identity |
| 1306× | add-cube-cbrt |
| 1294× | add-cbrt-cube |
| 1286× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 26 |
| 1 | 137 | 22 |
| 2 | 1865 | 22 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (*.f64 x x)) |
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 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 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 9) 1/3)))) (#(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 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 (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 log1p.f64 (expm1.f64 (pow.f64 x 3))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 x x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 3) (*.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 3) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (pow.f64 x 3/2)) (hypot.f64 x (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 2) (cbrt.f64 (*.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (/.f64 1 (-.f64 (pow.f64 x 3) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 9)) (/.f64 1 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 x 3) (*.f64 x x)) (-.f64 (pow.f64 x 6) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))) (+.f64 (pow.f64 x 6) (pow.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (-.f64 (pow.f64 x 3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 9)) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 9)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 6) (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 6)) (-.f64 (*.f64 x x) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4))) (neg.f64 (-.f64 (pow.f64 x 3) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 9))) (neg.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x 3) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) (pow.f64 x 3)))))) |
| 1× | egg-herbie |
| 1442× | associate-+r+ |
| 1264× | associate-+l+ |
| 1076× | associate-*r/ |
| 884× | associate-*l/ |
| 700× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 1446 |
| 1 | 303 | 1416 |
| 2 | 1079 | 1416 |
| 3 | 4284 | 1416 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 2) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(pow.f64 x 3) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(pow.f64 x 3) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(-.f64 (+.f64 1 (pow.f64 x 3)) 1) |
(pow.f64 x 3) |
(pow.f64 (pow.f64 x 3) 1) |
(pow.f64 (pow.f64 x 3/2) 2) |
(pow.f64 (pow.f64 x 9) 1/3) |
(sqrt.f64 (pow.f64 x 6)) |
(log.f64 (exp.f64 (pow.f64 x 3))) |
(cbrt.f64 (pow.f64 x 9)) |
(expm1.f64 (log1p.f64 (pow.f64 x 3))) |
(exp.f64 (*.f64 3 (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 x) 3)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 x)) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 x 3))) |
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x x x))) 1) |
(-.f64 (/.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 3) (*.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 3) (*.f64 x x)))) |
(*.f64 x (fma.f64 x x x)) |
(*.f64 (*.f64 x x) (+.f64 x 1)) |
(*.f64 (*.f64 x (fma.f64 x x x)) 1) |
(*.f64 1 (*.f64 x (fma.f64 x x x))) |
(*.f64 (hypot.f64 x (pow.f64 x 3/2)) (hypot.f64 x (pow.f64 x 3/2))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 x x x))) |
(*.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 2) (cbrt.f64 (*.f64 x (fma.f64 x x x)))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (fma.f64 x x x))) |
(*.f64 (fma.f64 x x x) x) |
(*.f64 (+.f64 x 1) (*.f64 x x)) |
(*.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (/.f64 1 (-.f64 (pow.f64 x 3) (*.f64 x x)))) |
(*.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 9)) (/.f64 1 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))))) |
(*.f64 (*.f64 (+.f64 x 1) 1) (*.f64 x x)) |
(*.f64 (*.f64 (+.f64 x 1) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x))) |
(/.f64 1 (/.f64 (-.f64 (pow.f64 x 3) (*.f64 x x)) (-.f64 (pow.f64 x 6) (pow.f64 x 4)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))) (+.f64 (pow.f64 x 6) (pow.f64 x 9)))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (-.f64 (pow.f64 x 3) (*.f64 x x))) |
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 9)) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5)))) |
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 9)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 6) (pow.f64 x 5)))) |
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 6)) (-.f64 (*.f64 x x) (pow.f64 x 3))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4))) (neg.f64 (-.f64 (pow.f64 x 3) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 9))) (neg.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))))) |
(pow.f64 (*.f64 x (fma.f64 x x x)) 1) |
(pow.f64 (hypot.f64 x (pow.f64 x 3/2)) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 3) |
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x))) |
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x x x)))) |
(exp.f64 (log.f64 (*.f64 x (fma.f64 x x x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x x x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x x x)))) |
(fma.f64 x x (pow.f64 x 3)) |
(fma.f64 x (*.f64 x x) (*.f64 x x)) |
(fma.f64 (*.f64 x x) x (*.f64 x x)) |
(fma.f64 1 (*.f64 x x) (pow.f64 x 3)) |
(fma.f64 1 (pow.f64 x 3) (*.f64 x x)) |
(fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) (*.f64 x x)) |
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) (pow.f64 x 3)) |
| Outputs |
|---|
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(pow.f64 x 3) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(pow.f64 x 3) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(-.f64 (+.f64 1 (pow.f64 x 3)) 1) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 (pow.f64 x 3) 1) |
(pow.f64 x 3) |
(pow.f64 (pow.f64 x 3/2) 2) |
(pow.f64 x 3) |
(pow.f64 (pow.f64 x 9) 1/3) |
(cbrt.f64 (pow.f64 x 9)) |
(sqrt.f64 (pow.f64 x 6)) |
(pow.f64 x 3) |
(log.f64 (exp.f64 (pow.f64 x 3))) |
(pow.f64 x 3) |
(cbrt.f64 (pow.f64 x 9)) |
(expm1.f64 (log1p.f64 (pow.f64 x 3))) |
(pow.f64 x 3) |
(exp.f64 (*.f64 3 (log.f64 x))) |
(pow.f64 x 3) |
(exp.f64 (*.f64 (log.f64 x) 3)) |
(pow.f64 x 3) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 x)) 1)) |
(pow.f64 x 3) |
(log1p.f64 (expm1.f64 (pow.f64 x 3))) |
(pow.f64 x 3) |
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x x x))) 1) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(-.f64 (/.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 3) (*.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 3) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (-.f64 (pow.f64 x 3) (*.f64 x x))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (*.f64 x (-.f64 (*.f64 x x) x))) |
(*.f64 x (fma.f64 x x x)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 (*.f64 x x) (+.f64 x 1)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(*.f64 (*.f64 x (fma.f64 x x x)) 1) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(*.f64 1 (*.f64 x (fma.f64 x x x))) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(*.f64 (hypot.f64 x (pow.f64 x 3/2)) (hypot.f64 x (pow.f64 x 3/2))) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 x x x))) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(*.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 2)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 2) (cbrt.f64 (*.f64 x (fma.f64 x x x)))) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (fma.f64 x x x))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (fma.f64 x x x) (cbrt.f64 x))) |
(*.f64 (fma.f64 x x x) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))) |
(*.f64 (fma.f64 x x x) x) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(*.f64 (+.f64 x 1) (*.f64 x x)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(*.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (/.f64 1 (-.f64 (pow.f64 x 3) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (-.f64 (pow.f64 x 3) (*.f64 x x))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (*.f64 x (-.f64 (*.f64 x x) x))) |
(*.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 9)) (/.f64 1 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) 1) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5)))) |
(/.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5)))) |
(*.f64 (*.f64 (+.f64 x 1) 1) (*.f64 x x)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(*.f64 (*.f64 (+.f64 x 1) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (+.f64 x 1) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (+.f64 x 1) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (pow.f64 x 4)))) |
(/.f64 1 (/.f64 (-.f64 (pow.f64 x 3) (*.f64 x x)) (-.f64 (pow.f64 x 6) (pow.f64 x 4)))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (-.f64 (pow.f64 x 3) (*.f64 x x))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (*.f64 x (-.f64 (*.f64 x x) x))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))) (+.f64 (pow.f64 x 6) (pow.f64 x 9)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) 1) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5)))) |
(/.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5)))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (-.f64 (pow.f64 x 3) (*.f64 x x))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (*.f64 x (-.f64 (*.f64 x x) x))) |
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 9)) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) 1) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5)))) |
(/.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5)))) |
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 9)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 6) (pow.f64 x 5)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) 1) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5)))) |
(/.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5)))) |
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 6)) (-.f64 (*.f64 x x) (pow.f64 x 3))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (-.f64 (pow.f64 x 3) (*.f64 x x))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (*.f64 x (-.f64 (*.f64 x x) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4))) (neg.f64 (-.f64 (pow.f64 x 3) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (-.f64 (pow.f64 x 3) (*.f64 x x))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (*.f64 x (-.f64 (*.f64 x x) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 9))) (neg.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) 1) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5)))) |
(/.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5)))) |
(pow.f64 (*.f64 x (fma.f64 x x x)) 1) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(pow.f64 (hypot.f64 x (pow.f64 x 3/2)) 2) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 3) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3) 1/3) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 2)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x))) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x x x)))) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(exp.f64 (log.f64 (*.f64 x (fma.f64 x x x)))) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x x x))) 1)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x x x)))) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(fma.f64 x (*.f64 x x) (*.f64 x x)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(fma.f64 (*.f64 x x) x (*.f64 x x)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(fma.f64 1 (*.f64 x x) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(fma.f64 1 (pow.f64 x 3) (*.f64 x x)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) (*.f64 x x)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) (pow.f64 x 3)) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (pow.f64 x 4)) (pow.f64 x 3)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 x x (pow.f64 x 3)) |
Compiled 12 to 7 computations (41.7% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (fma.f64 x x (pow.f64 x 3)) |
| 0.0ms | x | @ | inf | (fma.f64 x x (pow.f64 x 3)) |
| 0.0ms | x | @ | 0 | (fma.f64 x x (pow.f64 x 3)) |
| 1× | batch-egg-rewrite |
| 1266× | add-sqr-sqrt |
| 1242× | *-un-lft-identity |
| 1166× | add-cube-cbrt |
| 1156× | add-cbrt-cube |
| 1140× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 15 |
| 1 | 147 | 15 |
| 2 | 1619 | 15 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 x x (pow.f64 x 3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 3) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 1) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (pow.f64 x 3/2)) (hypot.f64 x (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x 3))) (pow.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x 3))) 2) (cbrt.f64 (fma.f64 x x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 x 6)) (-.f64 (*.f64 x x) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (pow.f64 (pow.f64 x 3) 3)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (pow.f64 x 6) (*.f64 (*.f64 x x) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x (pow.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x (pow.f64 x 3)))))))) |
| 1× | egg-herbie |
| 1062× | associate-/r* |
| 600× | associate--l+ |
| 542× | +-commutative |
| 474× | log-prod |
| 468× | distribute-lft-out |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 599 |
| 1 | 151 | 581 |
| 2 | 683 | 575 |
| 3 | 2575 | 545 |
| 4 | 6970 | 545 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 x 2) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(pow.f64 x 3) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(pow.f64 x 3) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 3) (*.f64 x x)) |
(+.f64 (*.f64 x x) (pow.f64 x 3)) |
(+.f64 (*.f64 (*.f64 x x) 1) (pow.f64 x 3)) |
(-.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 3))) 1) |
(*.f64 x (+.f64 x (*.f64 x x))) |
(*.f64 (fma.f64 x x (pow.f64 x 3)) 1) |
(*.f64 1 (fma.f64 x x (pow.f64 x 3))) |
(*.f64 (hypot.f64 x (pow.f64 x 3/2)) (hypot.f64 x (pow.f64 x 3/2))) |
(*.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x 3))) (pow.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x 3))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x 3))) 2) (cbrt.f64 (fma.f64 x x (pow.f64 x 3)))) |
(*.f64 (+.f64 x 1) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 x 6)) (-.f64 (*.f64 x x) (pow.f64 x 3))) |
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (pow.f64 x 3) 3)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (pow.f64 x 6) (*.f64 (*.f64 x x) (pow.f64 x 3))))) |
(pow.f64 (fma.f64 x x (pow.f64 x 3)) 1) |
(pow.f64 (hypot.f64 x (pow.f64 x 3/2)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x 3))) 3) |
(pow.f64 (pow.f64 (fma.f64 x x (pow.f64 x 3)) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 x x (pow.f64 x 3)) 2)) |
(log.f64 (exp.f64 (fma.f64 x x (pow.f64 x 3)))) |
(cbrt.f64 (pow.f64 (fma.f64 x x (pow.f64 x 3)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 x x (pow.f64 x 3)))) |
(exp.f64 (log.f64 (fma.f64 x x (pow.f64 x 3)))) |
(log1p.f64 (expm1.f64 (fma.f64 x x (pow.f64 x 3)))) |
| Outputs |
|---|
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(pow.f64 x 3) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(pow.f64 x 3) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 3) (*.f64 x x)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (*.f64 x x) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (*.f64 (*.f64 x x) 1) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(-.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 3))) 1) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(*.f64 x (+.f64 x (*.f64 x x))) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(*.f64 (fma.f64 x x (pow.f64 x 3)) 1) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(*.f64 1 (fma.f64 x x (pow.f64 x 3))) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(*.f64 (hypot.f64 x (pow.f64 x 3/2)) (hypot.f64 x (pow.f64 x 3/2))) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(*.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x 3))) (pow.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x 3))) 2)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x 3))) 2) (cbrt.f64 (fma.f64 x x (pow.f64 x 3)))) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(*.f64 (+.f64 x 1) (*.f64 x x)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 x 6)) (-.f64 (*.f64 x x) (pow.f64 x 3))) |
(/.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (pow.f64 x 6)) (-.f64 (*.f64 x x) (pow.f64 x 3))) |
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 6)) (-.f64 (*.f64 x x) (pow.f64 x 3))) |
(/.f64 (*.f64 x (fma.f64 x x x)) 1) |
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (pow.f64 x 3) 3)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (pow.f64 x 6) (*.f64 (*.f64 x x) (pow.f64 x 3))))) |
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (pow.f64 x 3) 3)) (+.f64 (*.f64 x (pow.f64 x 3)) (-.f64 (pow.f64 x 6) (*.f64 x (*.f64 x (pow.f64 x 3)))))) |
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (pow.f64 x 3) 3)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 6) (*.f64 x (pow.f64 x 4))))) |
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (pow.f64 x 3) 3)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 6) (pow.f64 x 5)))) |
(/.f64 (fma.f64 x (pow.f64 x 8) (pow.f64 x 6)) (*.f64 (pow.f64 x 4) (-.f64 (fma.f64 x x 1) x))) |
(pow.f64 (fma.f64 x x (pow.f64 x 3)) 1) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(pow.f64 (hypot.f64 x (pow.f64 x 3/2)) 2) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(pow.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x 3))) 3) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(pow.f64 (pow.f64 (fma.f64 x x (pow.f64 x 3)) 3) 1/3) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(sqrt.f64 (pow.f64 (fma.f64 x x (pow.f64 x 3)) 2)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(log.f64 (exp.f64 (fma.f64 x x (pow.f64 x 3)))) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(cbrt.f64 (pow.f64 (fma.f64 x x (pow.f64 x 3)) 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(expm1.f64 (log1p.f64 (fma.f64 x x (pow.f64 x 3)))) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(exp.f64 (log.f64 (fma.f64 x x (pow.f64 x 3)))) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(log1p.f64 (expm1.f64 (fma.f64 x x (pow.f64 x 3)))) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
Compiled 1271 to 649 computations (48.9% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 117 | 3 | 120 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 1 | 2 |
| Total | 119 | 4 | 123 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| ▶ | 0.0b | (*.f64 (+.f64 x 1) (*.f64 x x)) |
| ▶ | 0.0b | (*.f64 x (+.f64 x (*.f64 x x))) |
| ▶ | 1.9b | (*.f64 x x) |
Compiled 30 to 15 computations (50% saved)
Compiled 5 to 2 computations (60% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (*.f64 x x)) |
| ✓ | 0.0b | (*.f64 x (+.f64 x (*.f64 x x))) |
Compiled 17 to 4 computations (76.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (*.f64 x (+.f64 x (*.f64 x x))) |
| 0.0ms | x | @ | 0 | (*.f64 x (+.f64 x (*.f64 x x))) |
| 0.0ms | x | @ | inf | (*.f64 x (+.f64 x (*.f64 x x))) |
| 0.0ms | x | @ | inf | (+.f64 x (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (+.f64 x (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1454× | add-sqr-sqrt |
| 1434× | *-un-lft-identity |
| 1348× | add-cube-cbrt |
| 1332× | add-cbrt-cube |
| 1324× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 32 |
| 1 | 134 | 24 |
| 2 | 1937 | 24 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (+.f64 x (*.f64 x x))) |
(+.f64 x (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 3) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 x x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (*.f64 x x) (pow.f64 x 4))) (-.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 6))) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) x) (-.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) x) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 6)) (-.f64 (*.f64 x x) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (pow.f64 (pow.f64 x 3) 3)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 6) (*.f64 (*.f64 x x) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (pow.f64 x 3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (sqrt.f64 x)) (hypot.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) (cbrt.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (/.f64 1 (-.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (/.f64 1 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 x x)) (-.f64 (*.f64 x x) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))) (+.f64 (pow.f64 x 3) (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (-.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 x 4))) (neg.f64 (-.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) x))))) |
| 1× | egg-herbie |
| 1226× | associate-*r/ |
| 952× | fma-def |
| 884× | unswap-sqr |
| 750× | associate-*l/ |
| 530× | +-commutative |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 1637 |
| 1 | 336 | 1589 |
| 2 | 1266 | 1565 |
| 3 | 5696 | 1547 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 x 2) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(pow.f64 x 3) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(pow.f64 x 3) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
x |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) x) |
(pow.f64 x 2) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) x) |
(pow.f64 x 2) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (*.f64 x x) (pow.f64 x 3)) |
(+.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) 1)) |
(+.f64 (pow.f64 x 3) (*.f64 x x)) |
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x x x))) 1) |
(/.f64 (*.f64 x (-.f64 (*.f64 x x) (pow.f64 x 4))) (-.f64 x (*.f64 x x))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 6))) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) x) (-.f64 x (*.f64 x x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) x) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))) |
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 6)) (-.f64 (*.f64 x x) (pow.f64 x 3))) |
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (pow.f64 x 3) 3)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 6) (*.f64 (*.f64 x x) (pow.f64 x 3))))) |
(pow.f64 (*.f64 x (fma.f64 x x x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x x x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 3) |
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x))) |
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x x x)))) |
(exp.f64 (log.f64 (*.f64 x (fma.f64 x x x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x x x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x x x)))) |
(fma.f64 x x (pow.f64 x 3)) |
(fma.f64 1 (*.f64 x x) (pow.f64 x 3)) |
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (pow.f64 x 3)) |
(-.f64 (+.f64 1 (fma.f64 x x x)) 1) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 x (*.f64 x x)))) |
(*.f64 x (+.f64 x 1)) |
(*.f64 (fma.f64 x x x) 1) |
(*.f64 1 (fma.f64 x x x)) |
(*.f64 (hypot.f64 x (sqrt.f64 x)) (hypot.f64 x (sqrt.f64 x))) |
(*.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) (cbrt.f64 (fma.f64 x x x))) |
(*.f64 (+.f64 x 1) x) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (/.f64 1 (-.f64 x (*.f64 x x)))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (/.f64 1 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))) |
(*.f64 (*.f64 (+.f64 x 1) 1) x) |
(*.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 1 (/.f64 (-.f64 x (*.f64 x x)) (-.f64 (*.f64 x x) (pow.f64 x 4)))) |
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))) (+.f64 (pow.f64 x 3) (pow.f64 x 6)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 x (*.f64 x x))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) (pow.f64 x 3)))) |
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (-.f64 (*.f64 x x) x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 x 4))) (neg.f64 (-.f64 x (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))) |
(pow.f64 (fma.f64 x x x) 1) |
(pow.f64 (hypot.f64 x (sqrt.f64 x)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 x x x)) 3) |
(pow.f64 (pow.f64 (fma.f64 x x x) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 x x x) 2)) |
(log.f64 (exp.f64 (fma.f64 x x x))) |
(cbrt.f64 (pow.f64 (fma.f64 x x x) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 x x x))) |
(exp.f64 (log.f64 (fma.f64 x x x))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x x x)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 x x x))) |
(fma.f64 x x x) |
(fma.f64 1 x (*.f64 x x)) |
(fma.f64 1 (*.f64 x x) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x x)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x x)) |
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) x) |
| Outputs |
|---|
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(pow.f64 x 3) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(pow.f64 x 3) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
x |
(+.f64 (pow.f64 x 2) x) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) x) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) x) |
(fma.f64 x x x) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (pow.f64 x 2) x) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) x) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) x) |
(fma.f64 x x x) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (pow.f64 x 2) x) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) x) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) x) |
(fma.f64 x x x) |
(+.f64 (*.f64 x x) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(+.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) 1)) |
(fma.f64 x x (pow.f64 x 3)) |
(+.f64 (pow.f64 x 3) (*.f64 x x)) |
(fma.f64 x x (pow.f64 x 3)) |
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x x x))) 1) |
(fma.f64 x x (pow.f64 x 3)) |
(/.f64 (*.f64 x (-.f64 (*.f64 x x) (pow.f64 x 4))) (-.f64 x (*.f64 x x))) |
(/.f64 x (/.f64 (-.f64 x (*.f64 x x)) (-.f64 (*.f64 x x) (pow.f64 x 4)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 x (*.f64 x x))) x) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 1 (/.f64 x 1))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 1 x)) |
(/.f64 (*.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 6))) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))) |
(/.f64 x (/.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))) (+.f64 (pow.f64 x 3) (pow.f64 x 6)))) |
(/.f64 (+.f64 (pow.f64 x 4) (pow.f64 x 7)) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))) |
(/.f64 (+.f64 (pow.f64 x 4) (pow.f64 x 7)) (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) x) (-.f64 x (*.f64 x x))) |
(/.f64 x (/.f64 (-.f64 x (*.f64 x x)) (-.f64 (*.f64 x x) (pow.f64 x 4)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 x (*.f64 x x))) x) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 1 (/.f64 x 1))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 1 x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) x) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))) |
(/.f64 x (/.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))) (+.f64 (pow.f64 x 3) (pow.f64 x 6)))) |
(/.f64 (+.f64 (pow.f64 x 4) (pow.f64 x 7)) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))) |
(/.f64 (+.f64 (pow.f64 x 4) (pow.f64 x 7)) (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3))) |
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 6)) (-.f64 (*.f64 x x) (pow.f64 x 3))) |
(/.f64 x (/.f64 (-.f64 x (*.f64 x x)) (-.f64 (*.f64 x x) (pow.f64 x 4)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 x (*.f64 x x))) x) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 1 (/.f64 x 1))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 1 x)) |
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (pow.f64 x 3) 3)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 6) (*.f64 (*.f64 x x) (pow.f64 x 3))))) |
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (pow.f64 x 3) 3)) (-.f64 (+.f64 (pow.f64 x 4) (pow.f64 x 6)) (*.f64 x (*.f64 x (pow.f64 x 3))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 6) (*.f64 x (pow.f64 x 4))))) |
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (pow.f64 x 3) 3)) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5)))) |
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (pow.f64 x 3) 3)) (-.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 5) (pow.f64 x 4)))) |
(pow.f64 (*.f64 x (fma.f64 x x x)) 1) |
(fma.f64 x x (pow.f64 x 3)) |
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x x x))) 2) |
(fma.f64 x x (pow.f64 x 3)) |
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 3) |
(fma.f64 x x (pow.f64 x 3)) |
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3) 1/3) |
(fma.f64 x x (pow.f64 x 3)) |
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 2)) |
(fma.f64 x x (pow.f64 x 3)) |
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x))) |
(fma.f64 x x (pow.f64 x 3)) |
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x x x)))) |
(fma.f64 x x (pow.f64 x 3)) |
(exp.f64 (log.f64 (*.f64 x (fma.f64 x x x)))) |
(fma.f64 x x (pow.f64 x 3)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x x x))) 1)) |
(fma.f64 x x (pow.f64 x 3)) |
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x x x)))) |
(fma.f64 x x (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(fma.f64 1 (*.f64 x x) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (pow.f64 x 3)) |
(-.f64 (+.f64 1 (fma.f64 x x x)) 1) |
(fma.f64 x x x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 x (*.f64 x x))) |
(-.f64 (/.f64 x (-.f64 1 x)) (/.f64 (pow.f64 x 3) (-.f64 1 x))) |
(*.f64 x (+.f64 x 1)) |
(fma.f64 x x x) |
(*.f64 (fma.f64 x x x) 1) |
(fma.f64 x x x) |
(*.f64 1 (fma.f64 x x x)) |
(fma.f64 x x x) |
(*.f64 (hypot.f64 x (sqrt.f64 x)) (hypot.f64 x (sqrt.f64 x))) |
(fma.f64 x x x) |
(*.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2)) |
(fma.f64 x x x) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) (cbrt.f64 (fma.f64 x x x))) |
(fma.f64 x x x) |
(*.f64 (+.f64 x 1) x) |
(fma.f64 x x x) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (/.f64 1 (-.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 x (*.f64 x x))) |
(-.f64 (/.f64 x (-.f64 1 x)) (/.f64 (pow.f64 x 3) (-.f64 1 x))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (/.f64 1 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) 1) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3))) |
(*.f64 (*.f64 (+.f64 x 1) 1) x) |
(fma.f64 x x x) |
(*.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) (sqrt.f64 x)) |
(fma.f64 x x x) |
(*.f64 (*.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(fma.f64 x x x) |
(/.f64 1 (/.f64 (-.f64 x (*.f64 x x)) (-.f64 (*.f64 x x) (pow.f64 x 4)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 x (*.f64 x x))) |
(-.f64 (/.f64 x (-.f64 1 x)) (/.f64 (pow.f64 x 3) (-.f64 1 x))) |
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))) (+.f64 (pow.f64 x 3) (pow.f64 x 6)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) 1) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 x (*.f64 x x))) |
(-.f64 (/.f64 x (-.f64 1 x)) (/.f64 (pow.f64 x 3) (-.f64 1 x))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) 1) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) (pow.f64 x 3)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) 1) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3))) |
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (-.f64 (*.f64 x x) x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 x (*.f64 x x))) |
(-.f64 (/.f64 x (-.f64 1 x)) (/.f64 (pow.f64 x 3) (-.f64 1 x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 x 4))) (neg.f64 (-.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 x (*.f64 x x))) |
(-.f64 (/.f64 x (-.f64 1 x)) (/.f64 (pow.f64 x 3) (-.f64 1 x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) 1) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3))) |
(pow.f64 (fma.f64 x x x) 1) |
(fma.f64 x x x) |
(pow.f64 (hypot.f64 x (sqrt.f64 x)) 2) |
(fma.f64 x x x) |
(pow.f64 (cbrt.f64 (fma.f64 x x x)) 3) |
(fma.f64 x x x) |
(pow.f64 (pow.f64 (fma.f64 x x x) 3) 1/3) |
(fma.f64 x x x) |
(sqrt.f64 (pow.f64 (fma.f64 x x x) 2)) |
(fma.f64 x x x) |
(log.f64 (exp.f64 (fma.f64 x x x))) |
(fma.f64 x x x) |
(cbrt.f64 (pow.f64 (fma.f64 x x x) 3)) |
(fma.f64 x x x) |
(expm1.f64 (log1p.f64 (fma.f64 x x x))) |
(fma.f64 x x x) |
(exp.f64 (log.f64 (fma.f64 x x x))) |
(fma.f64 x x x) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x x x)) 1)) |
(fma.f64 x x x) |
(log1p.f64 (expm1.f64 (fma.f64 x x x))) |
(fma.f64 x x x) |
(fma.f64 x x x) |
(fma.f64 1 x (*.f64 x x)) |
(fma.f64 x x x) |
(fma.f64 1 (*.f64 x x) x) |
(fma.f64 x x x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x x)) |
(fma.f64 x x x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x x)) |
(fma.f64 x x x) |
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) x) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (+.f64 x 1) (*.f64 x x)) |
Compiled 16 to 8 computations (50% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (*.f64 (+.f64 x 1) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (*.f64 (+.f64 x 1) (*.f64 x x)) |
| 0.0ms | x | @ | inf | (*.f64 (+.f64 x 1) (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1394× | add-sqr-sqrt |
| 1376× | *-un-lft-identity |
| 1284× | add-cube-cbrt |
| 1268× | add-cbrt-cube |
| 1260× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 1 | 145 | 19 |
| 2 | 1864 | 19 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 x 1) (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 3) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) (*.f64 x x)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 x x)) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 x x) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 2 (log.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (*.f64 2 (log.f64 x)) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)))))))) |
| 1× | egg-herbie |
| 1154× | fma-def |
| 1016× | associate-/r/ |
| 720× | associate-*r/ |
| 662× | associate-*r* |
| 640× | associate-*l/ |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 498 |
| 1 | 147 | 498 |
| 2 | 488 | 486 |
| 3 | 2253 | 478 |
| 4 | 5235 | 478 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 x 2) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(pow.f64 x 3) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(pow.f64 x 3) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (*.f64 x x) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 3) (*.f64 x x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 3))) 1) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x x -1)) (+.f64 x -1)) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x))) |
(/.f64 (*.f64 (fma.f64 x x -1) (*.f64 x x)) (+.f64 x -1)) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 x x)) (fma.f64 x x (-.f64 1 x))) |
(pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 1) |
(pow.f64 (*.f64 x (sqrt.f64 (+.f64 x 1))) 2) |
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3))) 3) |
(pow.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 2)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (+.f64 x 1))) |
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)))) |
(exp.f64 (+.f64 (*.f64 2 (log.f64 x)) (log1p.f64 x))) |
(exp.f64 (*.f64 (+.f64 (*.f64 2 (log.f64 x)) (log1p.f64 x)) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)))) |
| Outputs |
|---|
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(pow.f64 x 3) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(pow.f64 x 3) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (*.f64 x x) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 3) (*.f64 x x)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 3))) 1) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x x -1)) (+.f64 x -1)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x))) |
(/.f64 (*.f64 x x) (/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 (pow.f64 x 3) 1))) |
(*.f64 (/.f64 (*.f64 x x) (fma.f64 x x (-.f64 1 x))) (+.f64 (pow.f64 x 3) 1)) |
(*.f64 (/.f64 x (-.f64 (fma.f64 x x 1) x)) (+.f64 x (pow.f64 x 4))) |
(/.f64 (fma.f64 x x (pow.f64 x 5)) (fma.f64 x x (-.f64 1 x))) |
(/.f64 (fma.f64 x x (pow.f64 x 5)) (-.f64 (fma.f64 x x 1) x)) |
(/.f64 (*.f64 (fma.f64 x x -1) (*.f64 x x)) (+.f64 x -1)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 x x)) (fma.f64 x x (-.f64 1 x))) |
(/.f64 (*.f64 x x) (/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 (pow.f64 x 3) 1))) |
(*.f64 (/.f64 (*.f64 x x) (fma.f64 x x (-.f64 1 x))) (+.f64 (pow.f64 x 3) 1)) |
(*.f64 (/.f64 x (-.f64 (fma.f64 x x 1) x)) (+.f64 x (pow.f64 x 4))) |
(/.f64 (fma.f64 x x (pow.f64 x 5)) (fma.f64 x x (-.f64 1 x))) |
(/.f64 (fma.f64 x x (pow.f64 x 5)) (-.f64 (fma.f64 x x 1) x)) |
(pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 1) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(pow.f64 (*.f64 x (sqrt.f64 (+.f64 x 1))) 2) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3))) 3) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(pow.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3) 1/3) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(sqrt.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 2)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (+.f64 x 1))) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)))) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(exp.f64 (+.f64 (*.f64 2 (log.f64 x)) (log1p.f64 x))) |
(exp.f64 (fma.f64 2 (log.f64 x) (log1p.f64 x))) |
(*.f64 (*.f64 x x) (exp.f64 (log1p.f64 x))) |
(*.f64 x (*.f64 x (exp.f64 (log1p.f64 x)))) |
(exp.f64 (*.f64 (+.f64 (*.f64 2 (log.f64 x)) (log1p.f64 x)) 1)) |
(exp.f64 (fma.f64 2 (log.f64 x) (log1p.f64 x))) |
(*.f64 (*.f64 x x) (exp.f64 (log1p.f64 x))) |
(*.f64 x (*.f64 x (exp.f64 (log1p.f64 x)))) |
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)))) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
Compiled 1328 to 688 computations (48.2% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 115 | 0 | 115 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 115 | 4 | 119 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| ✓ | 0.0b | (*.f64 (+.f64 x 1) (*.f64 x x)) |
| ✓ | 0.0b | (*.f64 x (+.f64 x (*.f64 x x))) |
| ✓ | 1.9b | (*.f64 x x) |
Compiled 30 to 15 computations (50% saved)
| Inputs |
|---|
(*.f64 x x) |
(*.f64 x (+.f64 x (*.f64 x x))) |
(*.f64 (+.f64 x 1) (*.f64 x x)) |
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(*.f64 x (fma.f64 x x x)) |
(fma.f64 x x (pow.f64 x 3)) |
| Outputs |
|---|
(fma.f64 x x (pow.f64 x 3)) |
2 calls:
| 3.0ms | x |
| 2.0ms | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
Compiled 51 to 19 computations (62.7% saved)
| Inputs |
|---|
(*.f64 x x) |
(*.f64 x (+.f64 x (*.f64 x x))) |
(*.f64 (+.f64 x 1) (*.f64 x x)) |
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(*.f64 x (fma.f64 x x x)) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
2 calls:
| 3.0ms | x |
| 2.0ms | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
Compiled 45 to 16 computations (64.4% saved)
Total -1.9b remaining (-9856.6%)
Threshold costs -1.9b (-9856.6%)
| Inputs |
|---|
(*.f64 x x) |
(*.f64 x (+.f64 x (*.f64 x x))) |
(*.f64 (+.f64 x 1) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 x (+.f64 x (*.f64 x x))) |
1 calls:
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
Compiled 20 to 8 computations (60% saved)
| 1× | egg-herbie |
| 4× | +-commutative |
| 4× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 66 |
| 1 | 16 | 66 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 x x (pow.f64 x 3)) |
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(*.f64 x (+.f64 x (*.f64 x x))) |
(*.f64 x x) |
| Outputs |
|---|
(fma.f64 x x (pow.f64 x 3)) |
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) |
(*.f64 x (+.f64 x (*.f64 x x))) |
(*.f64 x x) |
Compiled 29 to 14 computations (51.7% saved)
| 1× | egg-herbie |
| 3512× | sqr-pow |
| 1426× | pow-sqr |
| 1160× | cube-prod |
| 742× | fabs-mul |
| 736× | cube-mult |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 19 |
| 1 | 17 | 15 |
| 2 | 34 | 15 |
| 3 | 47 | 15 |
| 4 | 66 | 15 |
| 5 | 124 | 15 |
| 6 | 222 | 15 |
| 7 | 644 | 15 |
| 8 | 1046 | 15 |
| 9 | 1134 | 15 |
| 10 | 1271 | 15 |
| 11 | 1433 | 15 |
| 12 | 1671 | 15 |
| 13 | 1984 | 15 |
| 14 | 2379 | 15 |
| 15 | 2852 | 15 |
| 16 | 3391 | 15 |
| 17 | 4031 | 15 |
| 18 | 4252 | 15 |
| 19 | 4448 | 15 |
| 20 | 4588 | 15 |
| 21 | 4674 | 15 |
| 22 | 4732 | 15 |
| 23 | 5622 | 15 |
| 24 | 6672 | 15 |
| 25 | 6974 | 15 |
| 26 | 7268 | 15 |
| 27 | 7400 | 15 |
| 28 | 7410 | 15 |
| 29 | 7410 | 15 |
| 1× | node limit |
Compiled 33 to 9 computations (72.7% saved)
Compiled 26 to 9 computations (65.4% saved)
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