Time bar (total: 8.6s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 50% | 50% | 0% | 3 |
| 50% | 37.5% | 12.5% | 4 |
| 62.5% | 18.7% | 18.8% | 5 |
| 68.7% | 9.4% | 21.9% | 6 |
| 71.8% | 4.7% | 23.5% | 7 |
| 73.4% | 2.3% | 24.3% | 8 |
| 74.2% | 1.2% | 24.6% | 9 |
| 74.6% | 0.6% | 24.8% | 10 |
| 74.8% | 0.3% | 24.9% | 11 |
| 74.9% | 0.1% | 25% | 12 |
Compiled 15 to 12 computations (20% saved)
| 1.5s | 8256× | body | 256 | valid |
| 1.0ms | 13× | body | 256 | invalid |
| 2× | egg-herbie |
| 954× | fma-def_binary64 |
| 722× | fma-neg_binary64 |
| 150× | cancel-sign-sub-inv_binary64 |
| 108× | distribute-rgt-in_binary64 |
| 76× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 19 |
| 1 | 33 | 14 |
| 2 | 76 | 12 |
| 3 | 186 | 12 |
| 4 | 380 | 9 |
| 5 | 545 | 9 |
| 6 | 872 | 9 |
| 7 | 1533 | 9 |
| 8 | 2421 | 9 |
| 9 | 2802 | 9 |
| 10 | 2913 | 9 |
| 11 | 3039 | 9 |
| 12 | 3045 | 9 |
| 13 | 3045 | 9 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) |
| Outputs |
|---|
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) |
(+.f64 (*.f64 (fma.f64 (*.f64 3 x) x (neg.f64 (*.f64 x 4))) 3) 3) |
(fma.f64 3 (*.f64 x (-.f64 (*.f64 3 x) 4)) 3) |
(fma.f64 3 (*.f64 x (fma.f64 3 x -4)) 3) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
Compiled 15 to 12 computations (20% saved)
| 1× | egg-herbie |
| 954× | fma-def_binary64 |
| 722× | fma-neg_binary64 |
| 150× | cancel-sign-sub-inv_binary64 |
| 108× | distribute-rgt-in_binary64 |
| 76× | associate-*l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 19 |
| 1 | 33 | 14 |
| 2 | 76 | 12 |
| 3 | 186 | 12 |
| 4 | 380 | 9 |
| 5 | 545 | 9 |
| 6 | 872 | 9 |
| 7 | 1533 | 9 |
| 8 | 2421 | 9 |
| 9 | 2802 | 9 |
| 10 | 2913 | 9 |
| 11 | 3039 | 9 |
| 12 | 3045 | 9 |
| 13 | 3045 | 9 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) |
| Outputs |
|---|
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) |
(+.f64 (*.f64 (fma.f64 (*.f64 3 x) x (neg.f64 (*.f64 x 4))) 3) 3) |
(fma.f64 3 (*.f64 x (-.f64 (*.f64 3 x) 4)) 3) |
(fma.f64 3 (*.f64 x (fma.f64 3 x -4)) 3) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
Compiled 21 to 16 computations (23.8% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (fma.f64 x (fma.f64 x 9 -12) 3) |
| ▶ | 0.1b | (*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) |
Compiled 22 to 17 computations (22.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) |
| ✓ | 0.1b | (*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) |
| ✓ | 0.1b | (*.f64 (*.f64 x 3) x) |
Compiled 49 to 35 computations (28.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | (*.f64 (*.f64 x 3) x) |
| 1.0ms | x | @ | 0 | (*.f64 (*.f64 x 3) x) |
| 1.0ms | x | @ | 0 | (*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) |
| 1.0ms | x | @ | inf | (*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) |
| 0.0ms | x | @ | 0 | (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) |
| 1× | batch-egg-rewrite |
| 707× | fma-def_binary64 |
| 571× | log-prod_binary64 |
| 400× | fma-neg_binary64 |
| 343× | pow-prod-down_binary64 |
| 303× | pow2_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 39 |
| 1 | 256 | 31 |
| 2 | 3359 | 27 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 x 3) x) |
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) |
(-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 3))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) 1) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x 3 -4) 1)) 2)) (fma.f64 x (fma.f64 x 3 -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (fma.f64 x (fma.f64 x 3 -4) 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (fma.f64 x (fma.f64 x 3 -4) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) 3) 27) (+.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) 2) (-.f64 9 (*.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) 2) 9) (fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 x (fma.f64 x 3 -4)) 3)) 3) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 3 -4)) 2) (-.f64 1 (*.f64 x (fma.f64 x 3 -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 3 -4)) 2) -1) 3) (fma.f64 x (fma.f64 x 3 -4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (+.f64 1 (pow.f64 (*.f64 x (fma.f64 x 3 -4)) 3))) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 3 -4)) 2) (-.f64 1 (*.f64 x (fma.f64 x 3 -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 3 -4)) 2) -1)) (fma.f64 x (fma.f64 x 3 -4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9 (pow.f64 (fma.f64 x (fma.f64 x 3 -4) 1) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (pow.f64 (fma.f64 x (fma.f64 x 3 -4) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (fma.f64 x (fma.f64 x 3 -4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (fma.f64 x 3 -4)) 3 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 3 -4))) 2) (*.f64 (cbrt.f64 (*.f64 x (fma.f64 x 3 -4))) 3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (fma.f64 x 3 -4))) (*.f64 (sqrt.f64 (*.f64 x (fma.f64 x 3 -4))) 3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) 1 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4)))) 2) (cbrt.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4)))) (sqrt.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 3 -4))) 2)) (cbrt.f64 (*.f64 x (fma.f64 x 3 -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 (*.f64 x (fma.f64 x 3 -4)))) (sqrt.f64 (*.f64 x (fma.f64 x 3 -4))) 3))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 3)) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 3)) (*.f64 (*.f64 x -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 3)) (fma.f64 x -4 (fma.f64 x -4 (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 x 3 -4)) (fma.f64 x -4 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 x 3 -4)) (fma.f64 (*.f64 x -4) 1 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 x 3 -4)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x 4))) (pow.f64 (cbrt.f64 (*.f64 x 4)) 2) (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 x 3 -4)) (*.f64 (fma.f64 x -4 (*.f64 x 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 x 3 -4)) (+.f64 (fma.f64 x -4 (*.f64 x 4)) (fma.f64 x -4 (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (fma.f64 x 3 -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x -4 (*.f64 x 4)) (*.f64 x (fma.f64 x 3 -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -4) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 3 -4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 3 -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 3 -4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 3 -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (fma.f64 x 3 -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 x 3 -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (fma.f64 x 3 -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (fma.f64 x 3 -4))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 3 -4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 3 -4))) 2) (cbrt.f64 (*.f64 x (fma.f64 x 3 -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 3 -4))) 2) (*.f64 (cbrt.f64 (*.f64 x (fma.f64 x 3 -4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (fma.f64 x 3 -4))) (sqrt.f64 (*.f64 x (fma.f64 x 3 -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (fma.f64 x 3 -4))) (*.f64 (sqrt.f64 (*.f64 x (fma.f64 x 3 -4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3) (*.f64 (pow.f64 x 3) 64)) (/.f64 1 (fma.f64 (*.f64 x 4) (*.f64 x (fma.f64 x 3 4)) (pow.f64 (*.f64 x (*.f64 x 3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (fma.f64 x 3 4)) (*.f64 x (fma.f64 x 3 -4))) (/.f64 1 (*.f64 x (fma.f64 x 3 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) (sqrt.f64 (*.f64 x 4))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) (sqrt.f64 (*.f64 x 4))))))) 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| 1× | egg-herbie |
| 2020× | unswap-sqr_binary64 |
| 1080× | sqr-pow_binary64 |
| 638× | fabs-mul_binary64 |
| 612× | pow-sqr_binary64 |
| 610× | cube-prod_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 327 |
| 1 | 36 | 315 |
| 2 | 64 | 304 |
| 3 | 133 | 264 |
| 4 | 318 | 264 |
| 5 | 890 | 264 |
| 6 | 1377 | 264 |
| 7 | 1843 | 264 |
| 8 | 1952 | 264 |
| 9 | 2086 | 264 |
| 10 | 2255 | 264 |
| 11 | 2500 | 264 |
| 12 | 2817 | 264 |
| 13 | 3189 | 264 |
| 14 | 3645 | 264 |
| 15 | 4232 | 264 |
| 16 | 4942 | 264 |
| 17 | 5802 | 264 |
| 18 | 6226 | 264 |
| 19 | 6542 | 264 |
| 20 | 6846 | 264 |
| 21 | 6924 | 264 |
| 22 | 6960 | 264 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
3 |
(+.f64 (*.f64 -12 x) 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(*.f64 9 (pow.f64 x 2)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(*.f64 9 (pow.f64 x 2)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(*.f64 -4 x) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(*.f64 3 (pow.f64 x 2)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(*.f64 3 (pow.f64 x 2)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
| Outputs |
|---|
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
3 |
(+.f64 (*.f64 -12 x) 3) |
(fma.f64 -12 x 3) |
(fma.f64 x -12 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 (*.f64 x x) 9)) |
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)) |
(fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 (*.f64 x x) 9)) |
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)) |
(fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 9) |
(*.f64 x (*.f64 x 9)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 (*.f64 x x) 9)) |
(fma.f64 x -12 (*.f64 (*.f64 x x) 9)) |
(*.f64 x (+.f64 -12 (*.f64 x 9))) |
(*.f64 x (fma.f64 x 9 -12)) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 (*.f64 x x) 9)) |
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)) |
(fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 (*.f64 x x) 9)) |
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)) |
(fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 9) |
(*.f64 x (*.f64 x 9)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 (*.f64 x x) 9)) |
(fma.f64 x -12 (*.f64 (*.f64 x x) 9)) |
(*.f64 x (+.f64 -12 (*.f64 x 9))) |
(*.f64 x (fma.f64 x 9 -12)) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 (*.f64 x x) 9)) |
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)) |
(fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 (*.f64 x x) 9)) |
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)) |
(fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(*.f64 -4 x) |
(*.f64 x -4) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(fma.f64 3 (*.f64 x x) (*.f64 x -4)) |
(*.f64 x (+.f64 (*.f64 3 x) -4)) |
(*.f64 x (fma.f64 3 x -4)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(fma.f64 3 (*.f64 x x) (*.f64 x -4)) |
(*.f64 x (+.f64 (*.f64 3 x) -4)) |
(*.f64 x (fma.f64 3 x -4)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(fma.f64 3 (*.f64 x x) (*.f64 x -4)) |
(*.f64 x (+.f64 (*.f64 3 x) -4)) |
(*.f64 x (fma.f64 3 x -4)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(fma.f64 3 (*.f64 x x) (*.f64 x -4)) |
(*.f64 x (+.f64 (*.f64 3 x) -4)) |
(*.f64 x (fma.f64 3 x -4)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(fma.f64 3 (*.f64 x x) (*.f64 x -4)) |
(*.f64 x (+.f64 (*.f64 3 x) -4)) |
(*.f64 x (fma.f64 3 x -4)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(fma.f64 3 (*.f64 x x) (*.f64 x -4)) |
(*.f64 x (+.f64 (*.f64 3 x) -4)) |
(*.f64 x (fma.f64 3 x -4)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(fma.f64 3 (*.f64 x x) (*.f64 x -4)) |
(*.f64 x (+.f64 (*.f64 3 x) -4)) |
(*.f64 x (fma.f64 3 x -4)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(fma.f64 3 (*.f64 x x) (*.f64 x -4)) |
(*.f64 x (+.f64 (*.f64 3 x) -4)) |
(*.f64 x (fma.f64 3 x -4)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(fma.f64 3 (*.f64 x x) (*.f64 x -4)) |
(*.f64 x (+.f64 (*.f64 3 x) -4)) |
(*.f64 x (fma.f64 3 x -4)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 x 9 -12) |
| ✓ | 0.1b | (fma.f64 x (fma.f64 x 9 -12) 3) |
Compiled 16 to 12 computations (25% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (fma.f64 x (fma.f64 x 9 -12) 3) |
| 0.0ms | x | @ | -inf | (fma.f64 x (fma.f64 x 9 -12) 3) |
| 0.0ms | x | @ | inf | (fma.f64 x (fma.f64 x 9 -12) 3) |
| 0.0ms | x | @ | -inf | (fma.f64 x 9 -12) |
| 0.0ms | x | @ | 0 | (fma.f64 x 9 -12) |
| 1× | batch-egg-rewrite |
| 607× | pow1_binary64 |
| 568× | add-log-exp_binary64 |
| 568× | log1p-expm1-u_binary64 |
| 568× | expm1-log1p-u_binary64 |
| 559× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 14 |
| 1 | 142 | 14 |
| 2 | 1495 | 14 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 x (fma.f64 x 9 -12) 3) |
(fma.f64 x 9 -12) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (*.f64 x (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 x 9 -12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (fma.f64 x 9 -12)) 1) 3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (fma.f64 x 9 -12) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (fma.f64 x 9 -12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 3) 27) (+.f64 (*.f64 (*.f64 x (fma.f64 x 9 -12)) (*.f64 x (fma.f64 x 9 -12))) (-.f64 9 (*.f64 (*.f64 x (fma.f64 x 9 -12)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (fma.f64 x 9 -12)) (*.f64 x (fma.f64 x 9 -12))) 9) (-.f64 (*.f64 x (fma.f64 x 9 -12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (fma.f64 x 9 -12) 3))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -12 (*.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 9) -12)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 9) 1) -12)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 9 -12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 9 -12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 9 -12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 9 -12)) (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2) (cbrt.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 9 -12)) (sqrt.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 9) 3) -1728) (+.f64 (*.f64 (*.f64 x 9) (*.f64 x 9)) (-.f64 144 (*.f64 (*.f64 x 9) -12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 9) (*.f64 x 9)) 144) (-.f64 (*.f64 x 9) -12))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 9 -12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 9 -12) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 9 -12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 9 -12) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 9 -12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 9 -12))))))) |
| 1× | egg-herbie |
| 778× | sqr-pow_binary64 |
| 540× | cube-prod_binary64 |
| 537× | fabs-mul_binary64 |
| 532× | associate-*l*_binary64 |
| 494× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 180 |
| 1 | 35 | 168 |
| 2 | 56 | 156 |
| 3 | 88 | 144 |
| 4 | 194 | 144 |
| 5 | 521 | 144 |
| 6 | 1793 | 144 |
| 7 | 3129 | 144 |
| 8 | 3334 | 144 |
| 9 | 3546 | 144 |
| 10 | 3766 | 144 |
| 11 | 4081 | 144 |
| 12 | 4483 | 144 |
| 13 | 4994 | 144 |
| 14 | 5563 | 144 |
| 15 | 6251 | 144 |
| 16 | 7088 | 144 |
| 17 | 7478 | 144 |
| 18 | 7770 | 144 |
| 1× | node limit |
| Inputs |
|---|
3 |
(+.f64 (*.f64 -12 x) 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(*.f64 9 (pow.f64 x 2)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(*.f64 9 (pow.f64 x 2)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
-12 |
(-.f64 (*.f64 9 x) 12) |
(-.f64 (*.f64 9 x) 12) |
(-.f64 (*.f64 9 x) 12) |
(*.f64 9 x) |
(-.f64 (*.f64 9 x) 12) |
(-.f64 (*.f64 9 x) 12) |
(-.f64 (*.f64 9 x) 12) |
(*.f64 9 x) |
(-.f64 (*.f64 9 x) 12) |
(-.f64 (*.f64 9 x) 12) |
(-.f64 (*.f64 9 x) 12) |
| Outputs |
|---|
3 |
(+.f64 (*.f64 -12 x) 3) |
(fma.f64 -12 x 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x))) |
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3)) |
(+.f64 3 (*.f64 x (fma.f64 x 9 -12))) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x))) |
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3)) |
(+.f64 3 (*.f64 x (fma.f64 x 9 -12))) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 x 9)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 9 (*.f64 x x) (*.f64 -12 x)) |
(*.f64 x (fma.f64 x 9 -12)) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x))) |
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3)) |
(+.f64 3 (*.f64 x (fma.f64 x 9 -12))) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x))) |
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3)) |
(+.f64 3 (*.f64 x (fma.f64 x 9 -12))) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 x 9)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 9 (*.f64 x x) (*.f64 -12 x)) |
(*.f64 x (fma.f64 x 9 -12)) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x))) |
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3)) |
(+.f64 3 (*.f64 x (fma.f64 x 9 -12))) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x))) |
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3)) |
(+.f64 3 (*.f64 x (fma.f64 x 9 -12))) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
-12 |
(-.f64 (*.f64 9 x) 12) |
(fma.f64 9 x -12) |
(fma.f64 x 9 -12) |
(-.f64 (*.f64 9 x) 12) |
(fma.f64 9 x -12) |
(fma.f64 x 9 -12) |
(-.f64 (*.f64 9 x) 12) |
(fma.f64 9 x -12) |
(fma.f64 x 9 -12) |
(*.f64 9 x) |
(*.f64 x 9) |
(-.f64 (*.f64 9 x) 12) |
(fma.f64 9 x -12) |
(fma.f64 x 9 -12) |
(-.f64 (*.f64 9 x) 12) |
(fma.f64 9 x -12) |
(fma.f64 x 9 -12) |
(-.f64 (*.f64 9 x) 12) |
(fma.f64 9 x -12) |
(fma.f64 x 9 -12) |
(*.f64 9 x) |
(*.f64 x 9) |
(-.f64 (*.f64 9 x) 12) |
(fma.f64 9 x -12) |
(fma.f64 x 9 -12) |
(-.f64 (*.f64 9 x) 12) |
(fma.f64 9 x -12) |
(fma.f64 x 9 -12) |
(-.f64 (*.f64 9 x) 12) |
(fma.f64 9 x -12) |
(fma.f64 x 9 -12) |
Compiled 6424 to 5004 computations (22.1% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 324 | 8 | 332 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 325 | 9 | 334 |
| Status | Error | Program |
|---|---|---|
| 43.3b | (*.f64 x (fma.f64 x 9 -12)) | |
| ▶ | 0.1b | (*.f64 3 (+.f64 (-.f64 (*.f64 3 (*.f64 x x)) (*.f64 x 4)) 1)) |
| ✓ | 0.1b | (*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) |
| 18.4b | 3 | |
| ▶ | 43.7b | (*.f64 x (*.f64 x 9)) |
| ▶ | 0.1b | (fma.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x 9) (*.f64 x 9)) 144) (-.f64 (*.f64 x 9) -12)) 3) |
| 0.8b | (pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2) | |
| ▶ | 18.6b | (+.f64 (*.f64 -12 x) 3) |
| ▶ | 43.7b | (*.f64 9 (pow.f64 x 2)) |
Compiled 154 to 121 computations (21.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 x 9) -12) |
| ✓ | 0.1b | (fma.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x 9) (*.f64 x 9)) 144) (-.f64 (*.f64 x 9) -12)) 3) |
| ✓ | 0.2b | (/.f64 (-.f64 (*.f64 (*.f64 x 9) (*.f64 x 9)) 144) (-.f64 (*.f64 x 9) -12)) |
| ✓ | 0.3b | (*.f64 (*.f64 x 9) (*.f64 x 9)) |
Compiled 63 to 49 computations (22.2% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | (*.f64 (*.f64 x 9) (*.f64 x 9)) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 (*.f64 (*.f64 x 9) (*.f64 x 9)) 144) (-.f64 (*.f64 x 9) -12)) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 (*.f64 (*.f64 x 9) (*.f64 x 9)) 144) (-.f64 (*.f64 x 9) -12)) |
| 1.0ms | x | @ | 0 | (*.f64 (*.f64 x 9) (*.f64 x 9)) |
| 1.0ms | x | @ | inf | (*.f64 (*.f64 x 9) (*.f64 x 9)) |
| 1× | batch-egg-rewrite |
| 617× | log-prod_binary64 |
| 339× | fma-def_binary64 |
| 337× | pow2_binary64 |
| 302× | prod-diff_binary64 |
| 251× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 50 |
| 1 | 280 | 26 |
| 2 | 3679 | 26 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 x 9) (*.f64 x 9)) |
(/.f64 (-.f64 (*.f64 (*.f64 x 9) (*.f64 x 9)) 144) (-.f64 (*.f64 x 9) -12)) |
(fma.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x 9) (*.f64 x 9)) 144) (-.f64 (*.f64 x 9) -12)) 3) |
(-.f64 (*.f64 x 9) -12) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 81 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 81 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 81 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 81 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 81 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 81 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 81 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 9) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 9) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 9) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 81 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 81 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 9) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 81 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 81 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x 9))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 9) -12)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -12 (*.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 9 -12) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 144 (fma.f64 x 9 12)))) (sqrt.f64 (/.f64 144 (fma.f64 x 9 12))) (/.f64 144 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x (*.f64 81 x)) (fma.f64 x 9 12)) (neg.f64 (/.f64 144 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 9 -12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 x (*.f64 81 x)) (/.f64 1 (fma.f64 x 9 12)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 9 12)) 144))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 9 12))) 144 (*.f64 (/.f64 1 (fma.f64 x 9 12)) 144)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 (*.f64 x (*.f64 81 x)) (fma.f64 x 9 12)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 9 12)) 144))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 9 12))) 144 (*.f64 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| 1× | egg-herbie |
| 2020× | unswap-sqr_binary64 |
| 1080× | sqr-pow_binary64 |
| 634× | fabs-mul_binary64 |
| 612× | pow-sqr_binary64 |
| 610× | cube-prod_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 336 |
| 1 | 40 | 306 |
| 2 | 67 | 294 |
| 3 | 109 | 282 |
| 4 | 256 | 282 |
| 5 | 725 | 282 |
| 6 | 1078 | 282 |
| 7 | 1519 | 282 |
| 8 | 1623 | 282 |
| 9 | 1755 | 282 |
| 10 | 1924 | 282 |
| 11 | 2169 | 282 |
| 12 | 2484 | 282 |
| 13 | 2856 | 282 |
| 14 | 3312 | 282 |
| 15 | 3897 | 282 |
| 16 | 4607 | 282 |
| 17 | 5465 | 282 |
| 18 | 5891 | 282 |
| 19 | 6205 | 282 |
| 20 | 6511 | 282 |
| 21 | 6591 | 282 |
| 22 | 6625 | 282 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (pow.f64 x 2)) |
-12 |
(-.f64 (*.f64 9 x) 12) |
(-.f64 (*.f64 9 x) 12) |
(-.f64 (*.f64 9 x) 12) |
(*.f64 9 x) |
(-.f64 (*.f64 9 x) 12) |
(-.f64 (*.f64 9 x) 12) |
(-.f64 (*.f64 9 x) 12) |
(*.f64 9 x) |
(-.f64 (*.f64 9 x) 12) |
(-.f64 (*.f64 9 x) 12) |
(-.f64 (*.f64 9 x) 12) |
3 |
(+.f64 (*.f64 -12 x) 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(*.f64 9 (pow.f64 x 2)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(*.f64 9 (pow.f64 x 2)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
12 |
(+.f64 12 (*.f64 9 x)) |
(+.f64 12 (*.f64 9 x)) |
(+.f64 12 (*.f64 9 x)) |
(*.f64 9 x) |
(+.f64 12 (*.f64 9 x)) |
(+.f64 12 (*.f64 9 x)) |
(+.f64 12 (*.f64 9 x)) |
(*.f64 9 x) |
(+.f64 12 (*.f64 9 x)) |
(+.f64 12 (*.f64 9 x)) |
(+.f64 12 (*.f64 9 x)) |
| Outputs |
|---|
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (*.f64 x x)) |
(*.f64 x (*.f64 81 x)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (*.f64 x x)) |
(*.f64 x (*.f64 81 x)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (*.f64 x x)) |
(*.f64 x (*.f64 81 x)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (*.f64 x x)) |
(*.f64 x (*.f64 81 x)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (*.f64 x x)) |
(*.f64 x (*.f64 81 x)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (*.f64 x x)) |
(*.f64 x (*.f64 81 x)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (*.f64 x x)) |
(*.f64 x (*.f64 81 x)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (*.f64 x x)) |
(*.f64 x (*.f64 81 x)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (*.f64 x x)) |
(*.f64 x (*.f64 81 x)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (*.f64 x x)) |
(*.f64 x (*.f64 81 x)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (*.f64 x x)) |
(*.f64 x (*.f64 81 x)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (*.f64 x x)) |
(*.f64 x (*.f64 81 x)) |
-12 |
(-.f64 (*.f64 9 x) 12) |
(fma.f64 9 x -12) |
(fma.f64 x 9 -12) |
(-.f64 (*.f64 9 x) 12) |
(fma.f64 9 x -12) |
(fma.f64 x 9 -12) |
(-.f64 (*.f64 9 x) 12) |
(fma.f64 9 x -12) |
(fma.f64 x 9 -12) |
(*.f64 9 x) |
(*.f64 x 9) |
(-.f64 (*.f64 9 x) 12) |
(fma.f64 9 x -12) |
(fma.f64 x 9 -12) |
(-.f64 (*.f64 9 x) 12) |
(fma.f64 9 x -12) |
(fma.f64 x 9 -12) |
(-.f64 (*.f64 9 x) 12) |
(fma.f64 9 x -12) |
(fma.f64 x 9 -12) |
(*.f64 9 x) |
(*.f64 x 9) |
(-.f64 (*.f64 9 x) 12) |
(fma.f64 9 x -12) |
(fma.f64 x 9 -12) |
(-.f64 (*.f64 9 x) 12) |
(fma.f64 9 x -12) |
(fma.f64 x 9 -12) |
(-.f64 (*.f64 9 x) 12) |
(fma.f64 9 x -12) |
(fma.f64 x 9 -12) |
3 |
(+.f64 (*.f64 -12 x) 3) |
(fma.f64 -12 x 3) |
(fma.f64 x -12 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 (*.f64 x x) 9)) |
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)) |
(+.f64 3 (*.f64 x (fma.f64 x 9 -12))) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 (*.f64 x x) 9)) |
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)) |
(+.f64 3 (*.f64 x (fma.f64 x 9 -12))) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 9) |
(*.f64 x (*.f64 x 9)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 (*.f64 x x) 9)) |
(fma.f64 x -12 (*.f64 (*.f64 x x) 9)) |
(*.f64 x (fma.f64 x 9 -12)) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 (*.f64 x x) 9)) |
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)) |
(+.f64 3 (*.f64 x (fma.f64 x 9 -12))) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 (*.f64 x x) 9)) |
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)) |
(+.f64 3 (*.f64 x (fma.f64 x 9 -12))) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 9) |
(*.f64 x (*.f64 x 9)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 (*.f64 x x) 9)) |
(fma.f64 x -12 (*.f64 (*.f64 x x) 9)) |
(*.f64 x (fma.f64 x 9 -12)) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 (*.f64 x x) 9)) |
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)) |
(+.f64 3 (*.f64 x (fma.f64 x 9 -12))) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 (*.f64 x x) 9)) |
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)) |
(+.f64 3 (*.f64 x (fma.f64 x 9 -12))) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
12 |
(+.f64 12 (*.f64 9 x)) |
(+.f64 (*.f64 x 9) 12) |
(fma.f64 x 9 12) |
(+.f64 12 (*.f64 9 x)) |
(+.f64 (*.f64 x 9) 12) |
(fma.f64 x 9 12) |
(+.f64 12 (*.f64 9 x)) |
(+.f64 (*.f64 x 9) 12) |
(fma.f64 x 9 12) |
(*.f64 9 x) |
(*.f64 x 9) |
(+.f64 12 (*.f64 9 x)) |
(+.f64 (*.f64 x 9) 12) |
(fma.f64 x 9 12) |
(+.f64 12 (*.f64 9 x)) |
(+.f64 (*.f64 x 9) 12) |
(fma.f64 x 9 12) |
(+.f64 12 (*.f64 9 x)) |
(+.f64 (*.f64 x 9) 12) |
(fma.f64 x 9 12) |
(*.f64 9 x) |
(*.f64 x 9) |
(+.f64 12 (*.f64 9 x)) |
(+.f64 (*.f64 x 9) 12) |
(fma.f64 x 9 12) |
(+.f64 12 (*.f64 9 x)) |
(+.f64 (*.f64 x 9) 12) |
(fma.f64 x 9 12) |
(+.f64 12 (*.f64 9 x)) |
(+.f64 (*.f64 x 9) 12) |
(fma.f64 x 9 12) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 x (*.f64 x 9)) |
Compiled 11 to 7 computations (36.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 x (*.f64 x 9)) |
| 0.0ms | x | @ | inf | (*.f64 x (*.f64 x 9)) |
| 0.0ms | x | @ | -inf | (*.f64 x (*.f64 x 9)) |
| 1× | batch-egg-rewrite |
| 445× | pow1_binary64 |
| 429× | add-sqr-sqrt_binary64 |
| 422× | *-un-lft-identity_binary64 |
| 413× | add-log-exp_binary64 |
| 413× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 102 | 7 |
| 2 | 1141 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (*.f64 x 9)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 9))) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 9))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 9)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 9)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 9)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 x 3)))))))) |
| 1× | egg-herbie |
| 1082× | sqr-pow_binary64 |
| 617× | cube-prod_binary64 |
| 554× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
| 441× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 84 |
| 1 | 12 | 84 |
| 2 | 23 | 84 |
| 3 | 44 | 84 |
| 4 | 105 | 84 |
| 5 | 331 | 84 |
| 6 | 1250 | 84 |
| 7 | 2123 | 84 |
| 8 | 2287 | 84 |
| 9 | 2470 | 84 |
| 10 | 2678 | 84 |
| 11 | 2973 | 84 |
| 12 | 3364 | 84 |
| 13 | 3847 | 84 |
| 14 | 4415 | 84 |
| 15 | 5099 | 84 |
| 16 | 5934 | 84 |
| 17 | 6330 | 84 |
| 18 | 6618 | 84 |
| 19 | 6894 | 84 |
| 20 | 6966 | 84 |
| 21 | 7002 | 84 |
| 22 | 7943 | 84 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
| Outputs |
|---|
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 -12 x) 3) |
Compiled 12 to 9 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 -12 x) 3) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 -12 x) 3) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 -12 x) 3) |
| 1× | batch-egg-rewrite |
| 635× | pow1_binary64 |
| 598× | add-log-exp_binary64 |
| 598× | log1p-expm1-u_binary64 |
| 598× | expm1-log1p-u_binary64 |
| 589× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 5 |
| 1 | 132 | 5 |
| 2 | 1568 | 5 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 -12 x) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -12 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 -12 x) 2) (fma.f64 -12 x -3)) (/.f64 9 (fma.f64 -12 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -12 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -12 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -12 x 3)) (pow.f64 (cbrt.f64 (fma.f64 -12 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -12 x 3)) 2) (cbrt.f64 (fma.f64 -12 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -12 x 3)) (sqrt.f64 (fma.f64 -12 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 27 (pow.f64 (*.f64 -12 x) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 -12 x) 2) (-.f64 9 (*.f64 x -36)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 -12 x) 2) -9) (/.f64 1 (fma.f64 -12 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 -12 x) 2) (-.f64 9 (*.f64 x -36))) (+.f64 27 (pow.f64 (*.f64 -12 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -12 x -3) (+.f64 (pow.f64 (*.f64 -12 x) 2) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 27 (pow.f64 (*.f64 -12 x) 3)) (+.f64 (pow.f64 (*.f64 -12 x) 2) (-.f64 9 (*.f64 x -36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 27 (pow.f64 (*.f64 -12 x) 3)) (+.f64 9 (-.f64 (pow.f64 (*.f64 -12 x) 2) (*.f64 x -36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -12 x) 2) -9) (fma.f64 -12 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 27 (pow.f64 (*.f64 -12 x) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 -12 x) 2) (-.f64 9 (*.f64 x -36)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 -12 x) 2) -9)) (neg.f64 (fma.f64 -12 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (pow.f64 (*.f64 -12 x) 2)) (-.f64 3 (*.f64 -12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -12 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -12 x 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -12 x 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -12 x 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -12 x 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -12 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -12 x 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -12 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -12 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -12 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -12 x 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -12 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -12 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -12 x)) 2) (cbrt.f64 (*.f64 -12 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -12 x)) (sqrt.f64 (*.f64 -12 x)) 3))))) |
| 1× | egg-herbie |
| 2× | fma-def_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 51 |
| 1 | 8 | 39 |
| 2 | 10 | 39 |
| 1× | saturated |
| Inputs |
|---|
3 |
(*.f64 -12 x) |
(+.f64 3 (*.f64 -12 x)) |
(+.f64 3 (*.f64 -12 x)) |
(+.f64 3 (*.f64 -12 x)) |
(*.f64 -12 x) |
(+.f64 3 (*.f64 -12 x)) |
(+.f64 3 (*.f64 -12 x)) |
(+.f64 3 (*.f64 -12 x)) |
| Outputs |
|---|
3 |
(*.f64 -12 x) |
(+.f64 3 (*.f64 -12 x)) |
(fma.f64 -12 x 3) |
(+.f64 3 (*.f64 -12 x)) |
(fma.f64 -12 x 3) |
(+.f64 3 (*.f64 -12 x)) |
(fma.f64 -12 x 3) |
(*.f64 -12 x) |
(+.f64 3 (*.f64 -12 x)) |
(fma.f64 -12 x 3) |
(+.f64 3 (*.f64 -12 x)) |
(fma.f64 -12 x 3) |
(+.f64 3 (*.f64 -12 x)) |
(fma.f64 -12 x 3) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 3 (*.f64 x x)) (*.f64 x 4)) |
| ✓ | 0.1b | (*.f64 3 (+.f64 (-.f64 (*.f64 3 (*.f64 x x)) (*.f64 x 4)) 1)) |
| ✓ | 0.2b | (*.f64 3 (*.f64 x x)) |
Compiled 49 to 30 computations (38.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | x | @ | -inf | (*.f64 3 (+.f64 (-.f64 (*.f64 3 (*.f64 x x)) (*.f64 x 4)) 1)) |
| 0.0ms | x | @ | 0 | (*.f64 3 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (-.f64 (*.f64 3 (*.f64 x x)) (*.f64 x 4)) |
| 0.0ms | x | @ | -inf | (-.f64 (*.f64 3 (*.f64 x x)) (*.f64 x 4)) |
| 0.0ms | x | @ | inf | (*.f64 3 (+.f64 (-.f64 (*.f64 3 (*.f64 x x)) (*.f64 x 4)) 1)) |
| 1× | batch-egg-rewrite |
| 686× | fma-def_binary64 |
| 557× | log-prod_binary64 |
| 398× | fma-neg_binary64 |
| 336× | pow-prod-down_binary64 |
| 299× | pow2_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 39 |
| 1 | 256 | 31 |
| 2 | 3375 | 27 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (*.f64 x x)) |
(*.f64 3 (+.f64 (-.f64 (*.f64 3 (*.f64 x x)) (*.f64 x 4)) 1)) |
(-.f64 (*.f64 3 (*.f64 x x)) (*.f64 x 4)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9 (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 27 (pow.f64 x 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 27 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 x) (log1p.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log1p.f64 2)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (*.f64 3 (*.f64 x (fma.f64 3 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4))) 1) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 3 x -4) 1)) 2)) (fma.f64 x (fma.f64 3 x -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (fma.f64 x (fma.f64 3 x -4) 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (fma.f64 x (fma.f64 3 x -4) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4))) 3) 27) (+.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4))) 2) (-.f64 9 (*.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4))) 2) 9) (fma.f64 3 (*.f64 x (fma.f64 3 x -4)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 x (fma.f64 3 x -4)) 3)) 3) (+.f64 (pow.f64 (*.f64 x (fma.f64 3 x -4)) 2) (-.f64 1 (*.f64 x (fma.f64 3 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 3 x -4)) 2) -1) 3) (fma.f64 x (fma.f64 3 x -4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (+.f64 1 (pow.f64 (*.f64 x (fma.f64 3 x -4)) 3))) (+.f64 (pow.f64 (*.f64 x (fma.f64 3 x -4)) 2) (-.f64 1 (*.f64 x (fma.f64 3 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (+.f64 (pow.f64 (*.f64 x (fma.f64 3 x -4)) 2) -1)) (fma.f64 x (fma.f64 3 x -4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9 (pow.f64 (fma.f64 x (fma.f64 3 x -4) 1) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (pow.f64 (fma.f64 x (fma.f64 3 x -4) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (fma.f64 x (fma.f64 3 x -4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (*.f64 x (fma.f64 3 x -4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (fma.f64 3 x -4)) 3 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3 (*.f64 x (fma.f64 3 x -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 3 x -4))) 2) (*.f64 (cbrt.f64 (*.f64 x (fma.f64 3 x -4))) 3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (fma.f64 3 x -4))) (*.f64 (sqrt.f64 (*.f64 x (fma.f64 3 x -4))) 3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4))) 1 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4)))) 2) (cbrt.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4)))) (sqrt.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 3 x -4))) 2)) (cbrt.f64 (*.f64 x (fma.f64 3 x -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 (*.f64 x (fma.f64 3 x -4)))) (sqrt.f64 (*.f64 x (fma.f64 3 x -4))) 3))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 x x)) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 x x)) (*.f64 (*.f64 x -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 x x)) (fma.f64 x -4 (fma.f64 x -4 (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 3 x -4)) (fma.f64 x -4 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 3 x -4)) (fma.f64 (*.f64 x -4) 1 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 3 x -4)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x 4))) (pow.f64 (cbrt.f64 (*.f64 x 4)) 2) (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 3 x -4)) (*.f64 (fma.f64 x -4 (*.f64 x 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 3 x -4)) (+.f64 (fma.f64 x -4 (*.f64 x 4)) (fma.f64 x -4 (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (fma.f64 3 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| 1× | egg-herbie |
| 2020× | unswap-sqr_binary64 |
| 1080× | sqr-pow_binary64 |
| 638× | fabs-mul_binary64 |
| 612× | pow-sqr_binary64 |
| 610× | cube-prod_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 327 |
| 1 | 36 | 315 |
| 2 | 64 | 304 |
| 3 | 133 | 264 |
| 4 | 318 | 264 |
| 5 | 890 | 264 |
| 6 | 1377 | 264 |
| 7 | 1843 | 264 |
| 8 | 1952 | 264 |
| 9 | 2086 | 264 |
| 10 | 2255 | 264 |
| 11 | 2500 | 264 |
| 12 | 2817 | 264 |
| 13 | 3189 | 264 |
| 14 | 3645 | 264 |
| 15 | 4232 | 264 |
| 16 | 4942 | 264 |
| 17 | 5802 | 264 |
| 18 | 6226 | 264 |
| 19 | 6542 | 264 |
| 20 | 6846 | 264 |
| 21 | 6924 | 264 |
| 22 | 6960 | 264 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
3 |
(+.f64 (*.f64 -12 x) 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(*.f64 9 (pow.f64 x 2)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(*.f64 9 (pow.f64 x 2)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(*.f64 -4 x) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(*.f64 3 (pow.f64 x 2)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(*.f64 3 (pow.f64 x 2)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
| Outputs |
|---|
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
3 |
(+.f64 (*.f64 -12 x) 3) |
(fma.f64 -12 x 3) |
(fma.f64 x -12 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 (*.f64 x x) 9)) |
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)) |
(fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 (*.f64 x x) 9)) |
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)) |
(fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 9) |
(*.f64 x (*.f64 x 9)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 (*.f64 x x) 9)) |
(fma.f64 x -12 (*.f64 (*.f64 x x) 9)) |
(*.f64 x (+.f64 -12 (*.f64 x 9))) |
(*.f64 x (fma.f64 x 9 -12)) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 (*.f64 x x) 9)) |
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)) |
(fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 (*.f64 x x) 9)) |
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)) |
(fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 9) |
(*.f64 x (*.f64 x 9)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 (*.f64 x x) 9)) |
(fma.f64 x -12 (*.f64 (*.f64 x x) 9)) |
(*.f64 x (+.f64 -12 (*.f64 x 9))) |
(*.f64 x (fma.f64 x 9 -12)) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 (*.f64 x x) 9)) |
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)) |
(fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 (*.f64 x x) 9)) |
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)) |
(fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(*.f64 -4 x) |
(*.f64 x -4) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(fma.f64 3 (*.f64 x x) (*.f64 x -4)) |
(*.f64 x (+.f64 (*.f64 3 x) -4)) |
(*.f64 x (fma.f64 3 x -4)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(fma.f64 3 (*.f64 x x) (*.f64 x -4)) |
(*.f64 x (+.f64 (*.f64 3 x) -4)) |
(*.f64 x (fma.f64 3 x -4)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(fma.f64 3 (*.f64 x x) (*.f64 x -4)) |
(*.f64 x (+.f64 (*.f64 3 x) -4)) |
(*.f64 x (fma.f64 3 x -4)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(fma.f64 3 (*.f64 x x) (*.f64 x -4)) |
(*.f64 x (+.f64 (*.f64 3 x) -4)) |
(*.f64 x (fma.f64 3 x -4)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(fma.f64 3 (*.f64 x x) (*.f64 x -4)) |
(*.f64 x (+.f64 (*.f64 3 x) -4)) |
(*.f64 x (fma.f64 3 x -4)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(fma.f64 3 (*.f64 x x) (*.f64 x -4)) |
(*.f64 x (+.f64 (*.f64 3 x) -4)) |
(*.f64 x (fma.f64 3 x -4)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(fma.f64 3 (*.f64 x x) (*.f64 x -4)) |
(*.f64 x (+.f64 (*.f64 3 x) -4)) |
(*.f64 x (fma.f64 3 x -4)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(fma.f64 3 (*.f64 x x) (*.f64 x -4)) |
(*.f64 x (+.f64 (*.f64 3 x) -4)) |
(*.f64 x (fma.f64 3 x -4)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(fma.f64 3 (*.f64 x x) (*.f64 x -4)) |
(*.f64 x (+.f64 (*.f64 3 x) -4)) |
(*.f64 x (fma.f64 3 x -4)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 9 (pow.f64 x 2)) |
Compiled 12 to 9 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 9 (pow.f64 x 2)) |
| 0.0ms | x | @ | inf | (*.f64 9 (pow.f64 x 2)) |
| 0.0ms | x | @ | -inf | (*.f64 9 (pow.f64 x 2)) |
| 1× | batch-egg-rewrite |
| 475× | pow1_binary64 |
| 463× | add-sqr-sqrt_binary64 |
| 454× | *-un-lft-identity_binary64 |
| 443× | add-log-exp_binary64 |
| 442× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 125 | 7 |
| 2 | 1268 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 9 (pow.f64 x 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 9 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 9 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 9 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 9) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 9 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 9 (*.f64 x x)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Compiled 16855 to 13338 computations (20.9% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 632 | 6 | 638 |
| Fresh | 3 | 0 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 4 | 5 |
| Total | 637 | 10 | 647 |
| Status | Error | Program |
|---|---|---|
| ▶ | 61.7b | (*.f64 -12 x) |
| ✓ | 0.1b | (*.f64 3 (+.f64 (-.f64 (*.f64 3 (*.f64 x x)) (*.f64 x 4)) 1)) |
| ▶ | 43.3b | (*.f64 x (fma.f64 x 9 -12)) |
| ✓ | 0.1b | (*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) |
| ✓ | 43.7b | (*.f64 x (*.f64 x 9)) |
| 18.4b | 3 | |
| ✓ | 18.6b | (+.f64 (*.f64 -12 x) 3) |
| ▶ | 43.8b | (pow.f64 (*.f64 x 3) 2) |
| ▶ | 0.1b | (fma.f64 x (/.f64 (-.f64 (*.f64 x (*.f64 81 x)) 144) (-.f64 (*.f64 x 9) -12)) 3) |
| ▶ | 44.0b | (-.f64 (+.f64 1 (*.f64 9 (*.f64 x x))) 1) |
Compiled 130 to 101 computations (22.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 (*.f64 x 9) -12) | |
| ✓ | 0.1b | (fma.f64 x (/.f64 (-.f64 (*.f64 x (*.f64 81 x)) 144) (-.f64 (*.f64 x 9) -12)) 3) |
| ✓ | 0.1b | (*.f64 x (*.f64 81 x)) |
| ✓ | 0.2b | (/.f64 (-.f64 (*.f64 x (*.f64 81 x)) 144) (-.f64 (*.f64 x 9) -12)) |
Compiled 59 to 44 computations (25.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 (*.f64 x (*.f64 81 x)) 144) (-.f64 (*.f64 x 9) -12)) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 (*.f64 x (*.f64 81 x)) 144) (-.f64 (*.f64 x 9) -12)) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 (*.f64 x (*.f64 81 x)) 144) (-.f64 (*.f64 x 9) -12)) |
| 0.0ms | x | @ | -inf | (*.f64 x (*.f64 81 x)) |
| 0.0ms | x | @ | 0 | (fma.f64 x (/.f64 (-.f64 (*.f64 x (*.f64 81 x)) 144) (-.f64 (*.f64 x 9) -12)) 3) |
| 1× | batch-egg-rewrite |
| 664× | log-prod_binary64 |
| 332× | fma-def_binary64 |
| 290× | prod-diff_binary64 |
| 256× | fma-neg_binary64 |
| 254× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 41 |
| 1 | 316 | 21 |
| 2 | 4025 | 21 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 x (*.f64 81 x)) 144) (-.f64 (*.f64 x 9) -12)) |
(*.f64 x (*.f64 81 x)) |
(fma.f64 x (/.f64 (-.f64 (*.f64 x (*.f64 81 x)) 144) (-.f64 (*.f64 x 9) -12)) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 9) -12)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -12 (*.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 9 -12) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 144 (fma.f64 x 9 12)))) (sqrt.f64 (/.f64 144 (fma.f64 x 9 12))) (/.f64 144 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (/.f64 (fma.f64 x 9 12) (*.f64 x 81))) (neg.f64 (/.f64 144 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 9 -12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 x (*.f64 x 81)) (/.f64 1 (fma.f64 x 9 12)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 9 12)) 144))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 9 12))) 144 (*.f64 (/.f64 1 (fma.f64 x 9 12)) 144)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 x (/.f64 (fma.f64 x 9 12) (*.f64 x 81))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 9 12)) 144))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 9 12))) 144 (*.f64 (/.f64 1 (fma.f64 x 9 12)) 144)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x 9 12) (*.f64 x 81)))) (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x 9 12) (*.f64 x 81))))) (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x 9 12) (*.f64 x 81)))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 9 12)) 144))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 9 12))) 144 (*.f64 (/.f64 1 (fma.f64 x 9 12)) 144)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 x (/.f64 (fma.f64 x 9 12) (*.f64 x 81)))) (sqrt.f64 (/.f64 x (/.f64 (fma.f64 x 9 12) (*.f64 x 81)))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 9 12)) 144))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 9 12))) 144 (*.f64 (/.f64 1 (fma.f64 x 9 12)) 144)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 x 1) (/.f64 (*.f64 x 81) (fma.f64 x 9 12)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 9 12)) 144))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 9 12))) 144 (*.f64 (/.f64 1 (fma.f64 x 9 12)) 144)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (*.f64 x 81) 1) (/.f64 x (fma.f64 x 9 12)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 9 12)) 144))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 9 12))) 144 (*.f64 (/.f64 1 (fma.f64 x 9 12)) 144)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2) 2) 1) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2) (fma.f64 x 9 12)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 9 12)) 144))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 9 12))) 144 (*.f64 (/.f64 1 (fma.f64 x 9 12)) 144)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (*.f64 x 9) 1) (/.f64 (*.f64 x 9) (fma.f64 x 9 12)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 9 12)) 144))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 9 12))) 144 (*.f64 (/.f64 1 (fma.f64 x 9 12)) 144)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 9 12)) 2)) (/.f64 (*.f64 x 81) (cbrt.f64 (fma.f64 x 9 12))) (neg.f64 (*.f64 (/.f64 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1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x 9 12) (*.f64 x 81)))) (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x 9 12) (*.f64 x 81))))) (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x 9 12) (*.f64 x 81)))) (neg.f64 (*.f64 (/.f64 144 (fma.f64 x 9 12)) 1))) (fma.f64 (neg.f64 (/.f64 144 (fma.f64 x 9 12))) 1 (*.f64 (/.f64 144 (fma.f64 x 9 12)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 x (/.f64 (fma.f64 x 9 12) (*.f64 x 81)))) (sqrt.f64 (/.f64 x (/.f64 (fma.f64 x 9 12) (*.f64 x 81)))) (neg.f64 (*.f64 (/.f64 144 (fma.f64 x 9 12)) 1))) (fma.f64 (neg.f64 (/.f64 144 (fma.f64 x 9 12))) 1 (*.f64 (/.f64 144 (fma.f64 x 9 12)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 x 1) (/.f64 (*.f64 x 81) (fma.f64 x 9 12)) (neg.f64 (*.f64 (/.f64 144 (fma.f64 x 9 12)) 1))) (fma.f64 (neg.f64 (/.f64 144 (fma.f64 x 9 12))) 1 (*.f64 (/.f64 144 (fma.f64 x 9 12)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x 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12))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x 9 12))) (/.f64 (*.f64 x 81) (sqrt.f64 (fma.f64 x 9 12))) (neg.f64 (/.f64 144 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x 81) (sqrt.f64 (fma.f64 x 9 12))) (/.f64 x (sqrt.f64 (fma.f64 x 9 12))) (neg.f64 (/.f64 144 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 9 12))) (/.f64 (*.f64 x (*.f64 x 81)) (sqrt.f64 (fma.f64 x 9 12))) (neg.f64 (/.f64 144 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2) 2) (sqrt.f64 (fma.f64 x 9 12))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2) (sqrt.f64 (fma.f64 x 9 12))) (neg.f64 (/.f64 144 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x 9) (sqrt.f64 (fma.f64 x 9 12))) (/.f64 (*.f64 x 9) (sqrt.f64 (fma.f64 x 9 12))) (neg.f64 (/.f64 144 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x (*.f64 x 81)) (fma.f64 729 (pow.f64 x 3) 1728)) (fma.f64 x (*.f64 x 81) (fma.f64 x -108 144)) (neg.f64 (/.f64 144 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x (*.f64 x 81)) (fma.f64 x (*.f64 x 81) -144)) (fma.f64 x 9 -12) (neg.f64 (/.f64 144 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -12))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 81)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 81))) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 81))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 81)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 81)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 81)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 81)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 81)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 81)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 81)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 81)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 81)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 81)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 81))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 81))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x 9))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (*.f64 x (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 x 9 -12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (fma.f64 x 9 -12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (fma.f64 x 9 -12)) 1) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x (fma.f64 x 9 -12) 3))) (cbrt.f64 (exp.f64 (fma.f64 x (fma.f64 x 9 -12) 3))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x 9 -12) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (fma.f64 x 9 -12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 3) 27) (fma.f64 (*.f64 x (fma.f64 x 9 -12)) (*.f64 x (fma.f64 x 9 -12)) (-.f64 9 (*.f64 (*.f64 x (fma.f64 x 9 -12)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 x (fma.f64 x 9 -12)) (*.f64 x (fma.f64 x 9 -12)) -9) (fma.f64 x (fma.f64 x 9 -12) -3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x 9 -12) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 1)))))) |
| 1× | egg-herbie |
| 2020× | unswap-sqr_binary64 |
| 1080× | sqr-pow_binary64 |
| 632× | fabs-mul_binary64 |
| 612× | pow-sqr_binary64 |
| 610× | cube-prod_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 264 |
| 1 | 38 | 252 |
| 2 | 63 | 240 |
| 3 | 106 | 228 |
| 4 | 248 | 228 |
| 5 | 715 | 228 |
| 6 | 1074 | 228 |
| 7 | 1515 | 228 |
| 8 | 1619 | 228 |
| 9 | 1751 | 228 |
| 10 | 1920 | 228 |
| 11 | 2161 | 228 |
| 12 | 2476 | 228 |
| 13 | 2848 | 228 |
| 14 | 3308 | 228 |
| 15 | 3889 | 228 |
| 16 | 4597 | 228 |
| 17 | 5459 | 228 |
| 18 | 5881 | 228 |
| 19 | 6193 | 228 |
| 20 | 6501 | 228 |
| 21 | 6581 | 228 |
| 22 | 6617 | 228 |
| 1× | node limit |
| Inputs |
|---|
-12 |
(-.f64 (*.f64 9 x) 12) |
(-.f64 (*.f64 9 x) 12) |
(-.f64 (*.f64 9 x) 12) |
(*.f64 9 x) |
(-.f64 (*.f64 9 x) 12) |
(-.f64 (*.f64 9 x) 12) |
(-.f64 (*.f64 9 x) 12) |
(*.f64 9 x) |
(-.f64 (*.f64 9 x) 12) |
(-.f64 (*.f64 9 x) 12) |
(-.f64 (*.f64 9 x) 12) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (pow.f64 x 2)) |
3 |
(+.f64 (*.f64 -12 x) 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(*.f64 9 (pow.f64 x 2)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(*.f64 9 (pow.f64 x 2)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
| Outputs |
|---|
-12 |
(-.f64 (*.f64 9 x) 12) |
(fma.f64 9 x -12) |
(-.f64 (*.f64 9 x) 12) |
(fma.f64 9 x -12) |
(-.f64 (*.f64 9 x) 12) |
(fma.f64 9 x -12) |
(*.f64 9 x) |
(-.f64 (*.f64 9 x) 12) |
(fma.f64 9 x -12) |
(-.f64 (*.f64 9 x) 12) |
(fma.f64 9 x -12) |
(-.f64 (*.f64 9 x) 12) |
(fma.f64 9 x -12) |
(*.f64 9 x) |
(-.f64 (*.f64 9 x) 12) |
(fma.f64 9 x -12) |
(-.f64 (*.f64 9 x) 12) |
(fma.f64 9 x -12) |
(-.f64 (*.f64 9 x) 12) |
(fma.f64 9 x -12) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (*.f64 x x)) |
(*.f64 (*.f64 81 x) x) |
(*.f64 x (*.f64 x 81)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (*.f64 x x)) |
(*.f64 (*.f64 81 x) x) |
(*.f64 x (*.f64 x 81)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (*.f64 x x)) |
(*.f64 (*.f64 81 x) x) |
(*.f64 x (*.f64 x 81)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (*.f64 x x)) |
(*.f64 (*.f64 81 x) x) |
(*.f64 x (*.f64 x 81)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (*.f64 x x)) |
(*.f64 (*.f64 81 x) x) |
(*.f64 x (*.f64 x 81)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (*.f64 x x)) |
(*.f64 (*.f64 81 x) x) |
(*.f64 x (*.f64 x 81)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (*.f64 x x)) |
(*.f64 (*.f64 81 x) x) |
(*.f64 x (*.f64 x 81)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (*.f64 x x)) |
(*.f64 (*.f64 81 x) x) |
(*.f64 x (*.f64 x 81)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (*.f64 x x)) |
(*.f64 (*.f64 81 x) x) |
(*.f64 x (*.f64 x 81)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (*.f64 x x)) |
(*.f64 (*.f64 81 x) x) |
(*.f64 x (*.f64 x 81)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (*.f64 x x)) |
(*.f64 (*.f64 81 x) x) |
(*.f64 x (*.f64 x 81)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (*.f64 x x)) |
(*.f64 (*.f64 81 x) x) |
(*.f64 x (*.f64 x 81)) |
3 |
(+.f64 (*.f64 -12 x) 3) |
(fma.f64 -12 x 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x))) |
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3)) |
(+.f64 3 (*.f64 x (fma.f64 9 x -12))) |
(fma.f64 x (fma.f64 9 x -12) 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x))) |
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3)) |
(+.f64 3 (*.f64 x (fma.f64 9 x -12))) |
(fma.f64 x (fma.f64 9 x -12) 3) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 9 (*.f64 x x) (*.f64 -12 x)) |
(*.f64 x (fma.f64 9 x -12)) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x))) |
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3)) |
(+.f64 3 (*.f64 x (fma.f64 9 x -12))) |
(fma.f64 x (fma.f64 9 x -12) 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x))) |
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3)) |
(+.f64 3 (*.f64 x (fma.f64 9 x -12))) |
(fma.f64 x (fma.f64 9 x -12) 3) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 9 (*.f64 x x) (*.f64 -12 x)) |
(*.f64 x (fma.f64 9 x -12)) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x))) |
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3)) |
(+.f64 3 (*.f64 x (fma.f64 9 x -12))) |
(fma.f64 x (fma.f64 9 x -12) 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x))) |
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3)) |
(+.f64 3 (*.f64 x (fma.f64 9 x -12))) |
(fma.f64 x (fma.f64 9 x -12) 3) |
Compiled 6 to 4 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 9 (*.f64 x x)) |
| ✓ | 0.9b | (-.f64 (+.f64 1 (*.f64 9 (*.f64 x x))) 1) |
Compiled 28 to 16 computations (42.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 (+.f64 1 (*.f64 9 (*.f64 x x))) 1) |
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 1 (*.f64 9 (*.f64 x x))) 1) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 1 (*.f64 9 (*.f64 x x))) 1) |
| 0.0ms | x | @ | 0 | (*.f64 9 (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (*.f64 9 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 806× | pow1_binary64 |
| 759× | add-log-exp_binary64 |
| 758× | log1p-expm1-u_binary64 |
| 758× | expm1-log1p-u_binary64 |
| 746× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 26 |
| 1 | 178 | 14 |
| 2 | 2378 | 14 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 9 (*.f64 x x))) 1) |
(*.f64 9 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 (*.f64 9 x) x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 (*.f64 9 x) x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 9 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 9 (*.f64 x x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 9 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 9 x) x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 9 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 9 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 9 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 9 x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 81)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81)) (cbrt.f64 (*.f64 x (*.f64 9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 1) 2) (+.f64 (*.f64 x (*.f64 9 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 x (*.f64 9 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 9 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (*.f64 x 3)) 1) (-.f64 (hypot.f64 1 (*.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 9 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 9 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 9 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 9 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 1) 2) (+.f64 (*.f64 x (*.f64 9 x)) 2)) (+.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 x (*.f64 9 x)) 2) (+.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 1) 2) (+.f64 (*.f64 x (*.f64 9 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 1) 2) (-.f64 1 (*.f64 (fma.f64 9 (*.f64 x x) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 1) 2) -1) (+.f64 (*.f64 x (*.f64 9 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 1) 2) -1) (-.f64 (fma.f64 9 (*.f64 x x) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 1) 2) (+.f64 (*.f64 x (*.f64 9 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 x (*.f64 9 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9 x) x -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 (*.f64 9 x) x -1) (fma.f64 (*.f64 9 x) x -1)) (fma.f64 (*.f64 9 x) x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 (*.f64 9 x) x -1) (fma.f64 (*.f64 9 x) x -1))) (-.f64 1 (fma.f64 (*.f64 9 x) x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 9 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 9 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 9 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 9 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 9 (*.f64 x x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 1) 2)) (cbrt.f64 (fma.f64 9 (*.f64 x x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x 3)) (hypot.f64 1 (*.f64 x 3)) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 (*.f64 9 x) x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 (*.f64 9 x) x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 9 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 9 (*.f64 x x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 9 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 9 x) x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 9 (*.f64 x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 1) 3) (+.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 1) 2) (+.f64 (*.f64 x (*.f64 9 x)) 2))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 1) 2) (+.f64 (*.f64 x (*.f64 9 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 1) 2) (+.f64 (*.f64 x (*.f64 9 x)) 2)) (/.f64 1 (+.f64 (*.f64 x (*.f64 9 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 1) 2) (+.f64 (*.f64 x (*.f64 9 x)) 2)) (+.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 x (*.f64 9 x)) 2) (+.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 1) 2) (+.f64 (*.f64 x (*.f64 9 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 1) 2) (-.f64 1 (*.f64 (fma.f64 9 (*.f64 x x) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 1) 2) -1) (+.f64 (*.f64 x (*.f64 9 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 1) 2) -1) (-.f64 (fma.f64 9 (*.f64 x x) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 1) 2) (+.f64 (*.f64 x (*.f64 9 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 x (*.f64 9 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9 x) x -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 (*.f64 9 x) x -1) (fma.f64 (*.f64 9 x) x -1)) (fma.f64 (*.f64 9 x) x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 (*.f64 9 x) x -1) (fma.f64 (*.f64 9 x) x -1))) (-.f64 1 (fma.f64 (*.f64 9 x) x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 9 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 9 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 9 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 9 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 9 (*.f64 x x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 1) 2)) (cbrt.f64 (fma.f64 9 (*.f64 x x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x 3)) (hypot.f64 1 (*.f64 x 3)) -1))))) |
| 1× | egg-herbie |
| 1082× | sqr-pow_binary64 |
| 617× | cube-prod_binary64 |
| 554× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
| 441× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 168 |
| 1 | 12 | 168 |
| 2 | 23 | 168 |
| 3 | 44 | 168 |
| 4 | 105 | 168 |
| 5 | 331 | 168 |
| 6 | 1250 | 168 |
| 7 | 2123 | 168 |
| 8 | 2287 | 168 |
| 9 | 2470 | 168 |
| 10 | 2678 | 168 |
| 11 | 2973 | 168 |
| 12 | 3364 | 168 |
| 13 | 3847 | 168 |
| 14 | 4415 | 168 |
| 15 | 5099 | 168 |
| 16 | 5934 | 168 |
| 17 | 6330 | 168 |
| 18 | 6618 | 168 |
| 19 | 6894 | 168 |
| 20 | 6966 | 168 |
| 21 | 7002 | 168 |
| 22 | 7943 | 168 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
| Outputs |
|---|
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (pow.f64 (*.f64 x 3) 2) |
Compiled 12 to 9 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (pow.f64 (*.f64 x 3) 2) |
| 1.0ms | x | @ | -inf | (pow.f64 (*.f64 x 3) 2) |
| 1.0ms | x | @ | inf | (pow.f64 (*.f64 x 3) 2) |
| 1× | batch-egg-rewrite |
| 476× | pow1_binary64 |
| 464× | add-sqr-sqrt_binary64 |
| 455× | *-un-lft-identity_binary64 |
| 442× | add-log-exp_binary64 |
| 441× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 127 | 7 |
| 2 | 1307 | 7 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (*.f64 x 3) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 9 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 3 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 9 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 9 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x 3) 4)) (pow.f64 (cbrt.f64 (*.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (cbrt.f64 (pow.f64 (*.f64 x 3) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (*.f64 (cbrt.f64 (*.f64 x 3)) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 3)) (*.f64 (sqrt.f64 (*.f64 x 3)) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3) (sqrt.f64 (*.f64 x 3))) (sqrt.f64 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3) x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3) 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3) (pow.f64 (cbrt.f64 (*.f64 x 3)) 2)) (cbrt.f64 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 9 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 x 3)))))))) |
| 1× | egg-herbie |
| 1082× | sqr-pow_binary64 |
| 617× | cube-prod_binary64 |
| 554× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
| 441× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 84 |
| 1 | 12 | 84 |
| 2 | 23 | 84 |
| 3 | 44 | 84 |
| 4 | 105 | 84 |
| 5 | 331 | 84 |
| 6 | 1250 | 84 |
| 7 | 2123 | 84 |
| 8 | 2287 | 84 |
| 9 | 2470 | 84 |
| 10 | 2678 | 84 |
| 11 | 2973 | 84 |
| 12 | 3364 | 84 |
| 13 | 3847 | 84 |
| 14 | 4415 | 84 |
| 15 | 5099 | 84 |
| 16 | 5934 | 84 |
| 17 | 6330 | 84 |
| 18 | 6618 | 84 |
| 19 | 6894 | 84 |
| 20 | 6966 | 84 |
| 21 | 7002 | 84 |
| 22 | 7943 | 84 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
| Outputs |
|---|
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (fma.f64 x 9 -12) | |
| ✓ | 0.1b | (*.f64 x (fma.f64 x 9 -12)) |
Compiled 14 to 10 computations (28.6% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (*.f64 x (fma.f64 x 9 -12)) |
| 1.0ms | x | @ | 0 | (*.f64 x (fma.f64 x 9 -12)) |
| 1.0ms | x | @ | inf | (*.f64 x (fma.f64 x 9 -12)) |
| 1× | batch-egg-rewrite |
| 538× | pow1_binary64 |
| 526× | add-sqr-sqrt_binary64 |
| 504× | add-log-exp_binary64 |
| 504× | log1p-expm1-u_binary64 |
| 504× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 123 | 8 |
| 2 | 1338 | 8 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (fma.f64 x 9 -12)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 9) x) (*.f64 -12 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 9)) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 x 9 -12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x 9 -12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 9 -12))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 9 -12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 9 -12))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 9 -12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x 9 -12)))))))) |
| 1× | egg-herbie |
| 778× | sqr-pow_binary64 |
| 565× | cube-prod_binary64 |
| 561× | fabs-mul_binary64 |
| 529× | associate-*l*_binary64 |
| 434× | unswap-sqr_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 117 |
| 1 | 18 | 117 |
| 2 | 32 | 108 |
| 3 | 68 | 90 |
| 4 | 168 | 90 |
| 5 | 480 | 90 |
| 6 | 1702 | 90 |
| 7 | 2955 | 90 |
| 8 | 3159 | 90 |
| 9 | 3371 | 90 |
| 10 | 3591 | 90 |
| 11 | 3904 | 90 |
| 12 | 4306 | 90 |
| 13 | 4819 | 90 |
| 14 | 5387 | 90 |
| 15 | 6071 | 90 |
| 16 | 6908 | 90 |
| 17 | 7304 | 90 |
| 18 | 7594 | 90 |
| 19 | 7868 | 90 |
| 20 | 7944 | 90 |
| 21 | 7980 | 90 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -12 x) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(*.f64 9 (pow.f64 x 2)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(*.f64 9 (pow.f64 x 2)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
| Outputs |
|---|
(*.f64 -12 x) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 9 (*.f64 x x) (*.f64 -12 x)) |
(*.f64 x (+.f64 -12 (*.f64 x 9))) |
(*.f64 x (fma.f64 x 9 -12)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 9 (*.f64 x x) (*.f64 -12 x)) |
(*.f64 x (+.f64 -12 (*.f64 x 9))) |
(*.f64 x (fma.f64 x 9 -12)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 9 (*.f64 x x) (*.f64 -12 x)) |
(*.f64 x (+.f64 -12 (*.f64 x 9))) |
(*.f64 x (fma.f64 x 9 -12)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 x 9)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 9 (*.f64 x x) (*.f64 -12 x)) |
(*.f64 x (+.f64 -12 (*.f64 x 9))) |
(*.f64 x (fma.f64 x 9 -12)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 9 (*.f64 x x) (*.f64 -12 x)) |
(*.f64 x (+.f64 -12 (*.f64 x 9))) |
(*.f64 x (fma.f64 x 9 -12)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 9 (*.f64 x x) (*.f64 -12 x)) |
(*.f64 x (+.f64 -12 (*.f64 x 9))) |
(*.f64 x (fma.f64 x 9 -12)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 x 9)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 9 (*.f64 x x) (*.f64 -12 x)) |
(*.f64 x (+.f64 -12 (*.f64 x 9))) |
(*.f64 x (fma.f64 x 9 -12)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 9 (*.f64 x x) (*.f64 -12 x)) |
(*.f64 x (+.f64 -12 (*.f64 x 9))) |
(*.f64 x (fma.f64 x 9 -12)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 9 (*.f64 x x) (*.f64 -12 x)) |
(*.f64 x (+.f64 -12 (*.f64 x 9))) |
(*.f64 x (fma.f64 x 9 -12)) |
Compiled 11449 to 9085 computations (20.6% saved)
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 401 | 5 | 406 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 4 | 4 | 8 |
| Total | 407 | 9 | 416 |
| Status | Error | Program |
|---|---|---|
| ▶ | 43.4b | (*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x 9) (*.f64 x 9)) 144) (-.f64 (*.f64 x 9) -12))) |
| 18.4b | 3 | |
| ▶ | 43.3b | (*.f64 x (-.f64 (*.f64 9 x) 12)) |
| ✓ | 43.7b | (*.f64 x (*.f64 x 9)) |
| ▶ | 43.8b | (*.f64 (*.f64 x 3) (*.f64 x 3)) |
| ✓ | 18.6b | (+.f64 (*.f64 -12 x) 3) |
| ✓ | 61.7b | (*.f64 -12 x) |
| ✓ | 0.1b | (*.f64 3 (+.f64 (-.f64 (*.f64 3 (*.f64 x x)) (*.f64 x 4)) 1)) |
| ▶ | 43.7b | (*.f64 (*.f64 x x) 9) |
Compiled 72 to 55 computations (23.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 9 x) 12) |
| ✓ | 0.1b | (*.f64 x (-.f64 (*.f64 9 x) 12)) |
Compiled 19 to 14 computations (26.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 x (-.f64 (*.f64 9 x) 12)) |
| 0.0ms | x | @ | inf | (*.f64 x (-.f64 (*.f64 9 x) 12)) |
| 0.0ms | x | @ | -inf | (*.f64 x (-.f64 (*.f64 9 x) 12)) |
| 0.0ms | x | @ | -inf | (-.f64 (*.f64 9 x) 12) |
| 0.0ms | x | @ | 0 | (-.f64 (*.f64 9 x) 12) |
| 1× | batch-egg-rewrite |
| 747× | pow1_binary64 |
| 702× | add-log-exp_binary64 |
| 702× | log1p-expm1-u_binary64 |
| 702× | expm1-log1p-u_binary64 |
| 691× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 155 | 13 |
| 2 | 1853 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (-.f64 (*.f64 9 x) 12)) |
(-.f64 (*.f64 9 x) 12) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 9) x) (*.f64 -12 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 9)) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 x 9 -12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 729 (pow.f64 x 3)) -1728) x) (+.f64 (*.f64 81 (*.f64 x x)) (+.f64 144 (*.f64 x 108))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 81 (*.f64 x x)) -144) x) (fma.f64 x 9 12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (*.f64 729 (pow.f64 x 3)) -1728)) (+.f64 (*.f64 81 (*.f64 x x)) (+.f64 144 (*.f64 x 108))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (*.f64 81 (*.f64 x x)) -144)) (fma.f64 x 9 12))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x 9 -12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 9 -12))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 9 -12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x 9 -12)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 9 -12) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 9 -12))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 9 -12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x 9 -12)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 9) -12)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -12 (*.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 9 -12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 9 -12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 9 -12)) (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2) (cbrt.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 9 -12)) (sqrt.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 729 (pow.f64 x 3)) -1728) (/.f64 1 (+.f64 (*.f64 81 (*.f64 x x)) (+.f64 144 (*.f64 x 108)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 81 (*.f64 x x)) -144) (/.f64 1 (fma.f64 x 9 12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 81 (*.f64 x x)) (+.f64 144 (*.f64 x 108))) (+.f64 (*.f64 729 (pow.f64 x 3)) -1728)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x 9 12) (+.f64 (*.f64 81 (*.f64 x x)) -144)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 729 (pow.f64 x 3)) -1728) (+.f64 (*.f64 81 (*.f64 x x)) (+.f64 144 (*.f64 x 108))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 729 (pow.f64 x 3)) -1728) (+.f64 (*.f64 81 (*.f64 x x)) (-.f64 144 (*.f64 (*.f64 x 9) -12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 81 (*.f64 x x)) -144) (fma.f64 x 9 12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 81 (*.f64 x x)) -144) (-.f64 (*.f64 x 9) -12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 729 (pow.f64 x 3)) -1728)) (neg.f64 (+.f64 (*.f64 81 (*.f64 x x)) (+.f64 144 (*.f64 x 108)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 81 (*.f64 x x)) -144)) (neg.f64 (fma.f64 x 9 12)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 9 -12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 9 -12) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 9 -12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 9 -12) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 9 -12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 9 -12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 x -12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 9) -12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2) (cbrt.f64 (*.f64 x 9)) -12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 x)) (*.f64 3 (sqrt.f64 x)) -12))))) |
| 1× | egg-herbie |
| 778× | sqr-pow_binary64 |
| 565× | cube-prod_binary64 |
| 559× | fabs-mul_binary64 |
| 535× | associate-*l*_binary64 |
| 528× | pow-sqr_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 126 |
| 1 | 20 | 126 |
| 2 | 32 | 117 |
| 3 | 61 | 99 |
| 4 | 160 | 99 |
| 5 | 475 | 99 |
| 6 | 1696 | 99 |
| 7 | 2943 | 99 |
| 8 | 3147 | 99 |
| 9 | 3359 | 99 |
| 10 | 3579 | 99 |
| 11 | 3889 | 99 |
| 12 | 4291 | 99 |
| 13 | 4802 | 99 |
| 14 | 5370 | 99 |
| 15 | 6052 | 99 |
| 16 | 6893 | 99 |
| 17 | 7285 | 99 |
| 18 | 7577 | 99 |
| 19 | 7849 | 99 |
| 20 | 7923 | 99 |
| 21 | 7959 | 99 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -12 x) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(*.f64 9 (pow.f64 x 2)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(*.f64 9 (pow.f64 x 2)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
-12 |
(*.f64 9 x) |
(*.f64 9 x) |
| Outputs |
|---|
(*.f64 -12 x) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 9 (*.f64 x x) (*.f64 -12 x)) |
(*.f64 x (+.f64 -12 (*.f64 x 9))) |
(*.f64 x (fma.f64 x 9 -12)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 9 (*.f64 x x) (*.f64 -12 x)) |
(*.f64 x (+.f64 -12 (*.f64 x 9))) |
(*.f64 x (fma.f64 x 9 -12)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 9 (*.f64 x x) (*.f64 -12 x)) |
(*.f64 x (+.f64 -12 (*.f64 x 9))) |
(*.f64 x (fma.f64 x 9 -12)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 x 9)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 9 (*.f64 x x) (*.f64 -12 x)) |
(*.f64 x (+.f64 -12 (*.f64 x 9))) |
(*.f64 x (fma.f64 x 9 -12)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 9 (*.f64 x x) (*.f64 -12 x)) |
(*.f64 x (+.f64 -12 (*.f64 x 9))) |
(*.f64 x (fma.f64 x 9 -12)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 9 (*.f64 x x) (*.f64 -12 x)) |
(*.f64 x (+.f64 -12 (*.f64 x 9))) |
(*.f64 x (fma.f64 x 9 -12)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 x 9)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 9 (*.f64 x x) (*.f64 -12 x)) |
(*.f64 x (+.f64 -12 (*.f64 x 9))) |
(*.f64 x (fma.f64 x 9 -12)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 9 (*.f64 x x) (*.f64 -12 x)) |
(*.f64 x (+.f64 -12 (*.f64 x 9))) |
(*.f64 x (fma.f64 x 9 -12)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 9 (*.f64 x x) (*.f64 -12 x)) |
(*.f64 x (+.f64 -12 (*.f64 x 9))) |
(*.f64 x (fma.f64 x 9 -12)) |
-12 |
(*.f64 9 x) |
(*.f64 x 9) |
(*.f64 9 x) |
(*.f64 x 9) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 (*.f64 x 9) -12) | |
| ✓ | 0.1b | (*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x 9) (*.f64 x 9)) 144) (-.f64 (*.f64 x 9) -12))) |
| 0.2b | (/.f64 (-.f64 (*.f64 (*.f64 x 9) (*.f64 x 9)) 144) (-.f64 (*.f64 x 9) -12)) | |
| 0.3b | (*.f64 (*.f64 x 9) (*.f64 x 9)) |
Compiled 61 to 47 computations (23% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x 9) (*.f64 x 9)) 144) (-.f64 (*.f64 x 9) -12))) |
| 1.0ms | x | @ | -inf | (*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x 9) (*.f64 x 9)) 144) (-.f64 (*.f64 x 9) -12))) |
| 1.0ms | x | @ | inf | (*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x 9) (*.f64 x 9)) 144) (-.f64 (*.f64 x 9) -12))) |
| 1× | batch-egg-rewrite |
| 629× | log-prod_binary64 |
| 331× | fma-def_binary64 |
| 321× | pow2_binary64 |
| 302× | prod-diff_binary64 |
| 235× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 20 |
| 1 | 263 | 8 |
| 2 | 3599 | 8 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x 9) (*.f64 x 9)) 144) (-.f64 (*.f64 x 9) -12))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 9 -12))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 9 -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 9 -12)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 9 -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 9 -12)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x 9 12) (*.f64 x (fma.f64 x (*.f64 81 x) -144))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 x (*.f64 81 x) -144)) (fma.f64 x 9 12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 81 x) -144))) (neg.f64 (fma.f64 x 9 12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 81 x) -144)) 1) (fma.f64 x 9 12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 81 x) -144)) (pow.f64 (cbrt.f64 (fma.f64 x 9 12)) 2)) (cbrt.f64 (fma.f64 x 9 12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 81 x) -144)) (sqrt.f64 (fma.f64 x 9 12))) (sqrt.f64 (fma.f64 x 9 12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 81 x) -144)) x) (neg.f64 (fma.f64 x 9 12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (fma.f64 x (*.f64 81 x) -144))) (neg.f64 (fma.f64 x 9 12)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x 9 -12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 9 -12))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 9 -12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 9 -12) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 x 9 -12) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 9 12) (*.f64 x (fma.f64 x (*.f64 81 x) -144))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 9 -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 9 -12) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 9 -12))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 9 -12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x 9 -12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 9 -12))) 1)))))) |
| 1× | egg-herbie |
| 778× | sqr-pow_binary64 |
| 565× | cube-prod_binary64 |
| 561× | fabs-mul_binary64 |
| 529× | associate-*l*_binary64 |
| 434× | unswap-sqr_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 117 |
| 1 | 18 | 117 |
| 2 | 32 | 108 |
| 3 | 68 | 90 |
| 4 | 168 | 90 |
| 5 | 480 | 90 |
| 6 | 1702 | 90 |
| 7 | 2955 | 90 |
| 8 | 3159 | 90 |
| 9 | 3371 | 90 |
| 10 | 3591 | 90 |
| 11 | 3904 | 90 |
| 12 | 4306 | 90 |
| 13 | 4819 | 90 |
| 14 | 5387 | 90 |
| 15 | 6071 | 90 |
| 16 | 6908 | 90 |
| 17 | 7304 | 90 |
| 18 | 7594 | 90 |
| 19 | 7868 | 90 |
| 20 | 7944 | 90 |
| 21 | 7980 | 90 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -12 x) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(*.f64 9 (pow.f64 x 2)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(*.f64 9 (pow.f64 x 2)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
| Outputs |
|---|
(*.f64 -12 x) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 9 (*.f64 x x) (*.f64 -12 x)) |
(*.f64 x (+.f64 -12 (*.f64 x 9))) |
(*.f64 x (fma.f64 x 9 -12)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 9 (*.f64 x x) (*.f64 -12 x)) |
(*.f64 x (+.f64 -12 (*.f64 x 9))) |
(*.f64 x (fma.f64 x 9 -12)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 9 (*.f64 x x) (*.f64 -12 x)) |
(*.f64 x (+.f64 -12 (*.f64 x 9))) |
(*.f64 x (fma.f64 x 9 -12)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 x 9)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 9 (*.f64 x x) (*.f64 -12 x)) |
(*.f64 x (+.f64 -12 (*.f64 x 9))) |
(*.f64 x (fma.f64 x 9 -12)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 9 (*.f64 x x) (*.f64 -12 x)) |
(*.f64 x (+.f64 -12 (*.f64 x 9))) |
(*.f64 x (fma.f64 x 9 -12)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 9 (*.f64 x x) (*.f64 -12 x)) |
(*.f64 x (+.f64 -12 (*.f64 x 9))) |
(*.f64 x (fma.f64 x 9 -12)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 x 9)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 9 (*.f64 x x) (*.f64 -12 x)) |
(*.f64 x (+.f64 -12 (*.f64 x 9))) |
(*.f64 x (fma.f64 x 9 -12)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 9 (*.f64 x x) (*.f64 -12 x)) |
(*.f64 x (+.f64 -12 (*.f64 x 9))) |
(*.f64 x (fma.f64 x 9 -12)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 9 (*.f64 x x) (*.f64 -12 x)) |
(*.f64 x (+.f64 -12 (*.f64 x 9))) |
(*.f64 x (fma.f64 x 9 -12)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (*.f64 x 3) (*.f64 x 3)) |
Compiled 13 to 9 computations (30.8% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 x 3) (*.f64 x 3)) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 x 3) (*.f64 x 3)) |
| 0.0ms | x | @ | -inf | (*.f64 (*.f64 x 3) (*.f64 x 3)) |
| 1× | batch-egg-rewrite |
| 454× | pow1_binary64 |
| 439× | add-sqr-sqrt_binary64 |
| 431× | *-un-lft-identity_binary64 |
| 421× | add-log-exp_binary64 |
| 421× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 105 | 7 |
| 2 | 1206 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 x 3) (*.f64 x 3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 9)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 9)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 3)) 2)))))) |
| 1× | egg-herbie |
| 1082× | sqr-pow_binary64 |
| 617× | cube-prod_binary64 |
| 554× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
| 441× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 84 |
| 1 | 12 | 84 |
| 2 | 23 | 84 |
| 3 | 44 | 84 |
| 4 | 105 | 84 |
| 5 | 331 | 84 |
| 6 | 1250 | 84 |
| 7 | 2123 | 84 |
| 8 | 2287 | 84 |
| 9 | 2470 | 84 |
| 10 | 2678 | 84 |
| 11 | 2973 | 84 |
| 12 | 3364 | 84 |
| 13 | 3847 | 84 |
| 14 | 4415 | 84 |
| 15 | 5099 | 84 |
| 16 | 5934 | 84 |
| 17 | 6330 | 84 |
| 18 | 6618 | 84 |
| 19 | 6894 | 84 |
| 20 | 6966 | 84 |
| 21 | 7002 | 84 |
| 22 | 7943 | 84 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
| Outputs |
|---|
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (*.f64 x x) 9) |
Compiled 11 to 5 computations (54.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 x x) 9) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 x x) 9) |
| 0.0ms | x | @ | -inf | (*.f64 (*.f64 x x) 9) |
| 1× | batch-egg-rewrite |
| 428× | pow1_binary64 |
| 415× | add-sqr-sqrt_binary64 |
| 407× | *-un-lft-identity_binary64 |
| 399× | add-log-exp_binary64 |
| 399× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 103 | 7 |
| 2 | 1146 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 x x) 9) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 x x) 9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) 9)) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) 9)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) 9))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x x) 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) 9) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) 9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 x 3)))))))) |
| 1× | egg-herbie |
| 1082× | sqr-pow_binary64 |
| 617× | cube-prod_binary64 |
| 554× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
| 441× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 84 |
| 1 | 12 | 84 |
| 2 | 23 | 84 |
| 3 | 44 | 84 |
| 4 | 105 | 84 |
| 5 | 331 | 84 |
| 6 | 1250 | 84 |
| 7 | 2123 | 84 |
| 8 | 2287 | 84 |
| 9 | 2470 | 84 |
| 10 | 2678 | 84 |
| 11 | 2973 | 84 |
| 12 | 3364 | 84 |
| 13 | 3847 | 84 |
| 14 | 4415 | 84 |
| 15 | 5099 | 84 |
| 16 | 5934 | 84 |
| 17 | 6330 | 84 |
| 18 | 6618 | 84 |
| 19 | 6894 | 84 |
| 20 | 6966 | 84 |
| 21 | 7002 | 84 |
| 22 | 7943 | 84 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
| Outputs |
|---|
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 9 x)) |
Compiled 11502 to 9085 computations (21% saved)
9 alts after pruning (2 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 400 | 1 | 401 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 6 | 7 |
| Total | 401 | 9 | 410 |
| Status | Error | Program |
|---|---|---|
| ✓ | 43.3b | (*.f64 x (-.f64 (*.f64 9 x) 12)) |
| ✓ | 43.7b | (*.f64 x (*.f64 x 9)) |
| ✓ | 43.8b | (*.f64 (*.f64 x 3) (*.f64 x 3)) |
| ✓ | 18.6b | (+.f64 (*.f64 -12 x) 3) |
| ✓ | 61.7b | (*.f64 -12 x) |
| ✓ | 0.1b | (*.f64 3 (+.f64 (-.f64 (*.f64 3 (*.f64 x x)) (*.f64 x 4)) 1)) |
| 18.4b | 3 | |
| 43.4b | (*.f64 x (/.f64 (-.f64 (*.f64 x (*.f64 81 x)) 144) (-.f64 (*.f64 x 9) -12))) | |
| ✓ | 43.7b | (*.f64 (*.f64 x x) 9) |
Compiled 70 to 53 computations (24.3% saved)
| Inputs |
|---|
3 |
3 |
3 |
(*.f64 -12 x) |
(*.f64 (*.f64 x x) 9) |
(*.f64 x (*.f64 x 9)) |
(+.f64 (*.f64 -12 x) 3) |
(*.f64 x (-.f64 (*.f64 9 x) 12)) |
(*.f64 (*.f64 x 3) (*.f64 x 3)) |
(-.f64 (+.f64 1 (*.f64 9 (*.f64 x x))) 1) |
(*.f64 3 (+.f64 (-.f64 (*.f64 3 (*.f64 x x)) (*.f64 x 4)) 1)) |
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) |
(*.f64 x (/.f64 (-.f64 (*.f64 x (*.f64 81 x)) 144) (-.f64 (*.f64 x 9) -12))) |
(*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x 9) (*.f64 x 9)) 144) (-.f64 (*.f64 x 9) -12))) |
(pow.f64 (*.f64 x 3) 2) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 x (fma.f64 x 9 -12)) |
(*.f64 x (fma.f64 x 9 -12)) |
(fma.f64 x (/.f64 (-.f64 (*.f64 x (*.f64 81 x)) 144) (-.f64 (*.f64 x 9) -12)) 3) |
(fma.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x 9) (*.f64 x 9)) 144) (-.f64 (*.f64 x 9) -12)) 3) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2) |
| Outputs |
|---|
(fma.f64 x (fma.f64 x 9 -12) 3) |
7 calls:
| 13.0ms | (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) |
| 13.0ms | x |
| 12.0ms | (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) |
| 5.0ms | (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1) |
| 4.0ms | (*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | (*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) |
| 0.1b | 1 | (*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) |
| 0.1b | 1 | (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1) |
| 0.1b | 1 | (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1) |
| 0.1b | 1 | (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) |
| 0.1b | 1 | (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) |
Compiled 250 to 185 computations (26% saved)
| Inputs |
|---|
3 |
3 |
3 |
(*.f64 -12 x) |
(*.f64 (*.f64 x x) 9) |
(*.f64 x (*.f64 x 9)) |
(+.f64 (*.f64 -12 x) 3) |
(*.f64 x (-.f64 (*.f64 9 x) 12)) |
(*.f64 (*.f64 x 3) (*.f64 x 3)) |
(-.f64 (+.f64 1 (*.f64 9 (*.f64 x x))) 1) |
(*.f64 3 (+.f64 (-.f64 (*.f64 3 (*.f64 x x)) (*.f64 x 4)) 1)) |
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) |
(*.f64 x (/.f64 (-.f64 (*.f64 x (*.f64 81 x)) 144) (-.f64 (*.f64 x 9) -12))) |
(*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x 9) (*.f64 x 9)) 144) (-.f64 (*.f64 x 9) -12))) |
(pow.f64 (*.f64 x 3) 2) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 x (fma.f64 x 9 -12)) |
(*.f64 x (fma.f64 x 9 -12)) |
(fma.f64 x (/.f64 (-.f64 (*.f64 x (*.f64 81 x)) 144) (-.f64 (*.f64 x 9) -12)) 3) |
(fma.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x 9) (*.f64 x 9)) 144) (-.f64 (*.f64 x 9) -12)) 3) |
| Outputs |
|---|
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) |
4 calls:
| 11.0ms | (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) |
| 10.0ms | x |
| 4.0ms | (*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) |
| 4.0ms | (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1) |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | (*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) |
| 0.1b | 1 | (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1) |
| 0.1b | 1 | (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) |
Compiled 197 to 145 computations (26.4% saved)
| Inputs |
|---|
3 |
3 |
3 |
(*.f64 -12 x) |
(*.f64 (*.f64 x x) 9) |
(*.f64 x (*.f64 x 9)) |
(+.f64 (*.f64 -12 x) 3) |
(*.f64 x (-.f64 (*.f64 9 x) 12)) |
(*.f64 (*.f64 x 3) (*.f64 x 3)) |
(-.f64 (+.f64 1 (*.f64 9 (*.f64 x x))) 1) |
(*.f64 3 (+.f64 (-.f64 (*.f64 3 (*.f64 x x)) (*.f64 x 4)) 1)) |
| Outputs |
|---|
(*.f64 3 (+.f64 (-.f64 (*.f64 3 (*.f64 x x)) (*.f64 x 4)) 1)) |
1 calls:
| 7.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
Compiled 60 to 42 computations (30% saved)
| Inputs |
|---|
3 |
3 |
3 |
(*.f64 -12 x) |
(*.f64 (*.f64 x x) 9) |
(*.f64 x (*.f64 x 9)) |
(+.f64 (*.f64 -12 x) 3) |
(*.f64 x (-.f64 (*.f64 9 x) 12)) |
(*.f64 (*.f64 x 3) (*.f64 x 3)) |
(-.f64 (+.f64 1 (*.f64 9 (*.f64 x x))) 1) |
| Outputs |
|---|
(*.f64 x (-.f64 (*.f64 9 x) 12)) |
(+.f64 (*.f64 -12 x) 3) |
(*.f64 x (-.f64 (*.f64 9 x) 12)) |
1 calls:
| 17.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 3 | x |
Compiled 47 to 33 computations (29.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 9.346374982514411e-7 | 1505765794.3420343 |
| 19.0ms | -32597.845920558284 | -2.518210312236727e-20 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
3 |
3 |
3 |
(*.f64 -12 x) |
(*.f64 (*.f64 x x) 9) |
(*.f64 x (*.f64 x 9)) |
(+.f64 (*.f64 -12 x) 3) |
| Outputs |
|---|
(*.f64 x (*.f64 x 9)) |
(+.f64 (*.f64 -12 x) 3) |
(*.f64 (*.f64 x x) 9) |
1 calls:
| 14.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.7b | 3 | x |
Compiled 24 to 17 computations (29.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 9.346374982514411e-7 | 1505765794.3420343 |
| 19.0ms | -32597.845920558284 | -2.518210312236727e-20 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
3 |
3 |
3 |
(*.f64 -12 x) |
(*.f64 (*.f64 x x) 9) |
(*.f64 x (*.f64 x 9)) |
| Outputs |
|---|
(*.f64 x (*.f64 x 9)) |
3 |
(*.f64 (*.f64 x x) 9) |
1 calls:
| 14.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.8b | 3 | x |
Compiled 19 to 13 computations (31.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 9.346374982514411e-7 | 1505765794.3420343 |
| 20.0ms | -32597.845920558284 | -2.518210312236727e-20 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
3 |
3 |
3 |
(*.f64 -12 x) |
(*.f64 (*.f64 x x) 9) |
| Outputs |
|---|
(*.f64 (*.f64 x x) 9) |
3 |
(*.f64 (*.f64 x x) 9) |
1 calls:
| 13.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.8b | 3 | x |
Compiled 14 to 10 computations (28.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 9.346374982514411e-7 | 1505765794.3420343 |
| 19.0ms | -32597.845920558284 | -2.518210312236727e-20 |
Compiled 18 to 14 computations (22.2% saved)
Total -43.4b remaining (-235.8%)
Threshold costs -43.4b (-235.8%)
| Inputs |
|---|
3 |
3 |
3 |
(*.f64 -12 x) |
| Outputs |
|---|
3 |
1 calls:
| 5.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 18.4b | 1 | x |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
| 13× | *-commutative_binary64 |
| 8× | +-commutative_binary64 |
| 5× | sub-neg_binary64 |
| 4× | cancel-sign-sub-inv_binary64 |
| 2× | distribute-rgt-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 174 |
| 1 | 66 | 174 |
| 2 | 81 | 174 |
| 3 | 85 | 174 |
| 4 | 87 | 174 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 x (fma.f64 x 9 -12) 3) |
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) |
(*.f64 3 (+.f64 (-.f64 (*.f64 3 (*.f64 x x)) (*.f64 x 4)) 1)) |
(if (<=.f64 x -4480213828763035/137438953472) (*.f64 x (-.f64 (*.f64 9 x) 12)) (if (<=.f64 x 2206850397687871/2361183241434822606848) (+.f64 (*.f64 -12 x) 3) (*.f64 x (-.f64 (*.f64 9 x) 12)))) |
(if (<=.f64 x -4480213828763035/137438953472) (*.f64 x (*.f64 x 9)) (if (<=.f64 x 2206850397687871/2361183241434822606848) (+.f64 (*.f64 -12 x) 3) (*.f64 (*.f64 x x) 9))) |
(if (<=.f64 x -4480213828763035/137438953472) (*.f64 x (*.f64 x 9)) (if (<=.f64 x 2206850397687871/2361183241434822606848) 3 (*.f64 (*.f64 x x) 9))) |
(if (<=.f64 x -4480213828763035/137438953472) (*.f64 (*.f64 x x) 9) (if (<=.f64 x 2206850397687871/2361183241434822606848) 3 (*.f64 (*.f64 x x) 9))) |
3 |
| Outputs |
|---|
(fma.f64 x (fma.f64 x 9 -12) 3) |
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) |
(*.f64 3 (+.f64 (-.f64 (*.f64 x (*.f64 x 3)) (*.f64 x 4)) 1)) |
(*.f64 3 (+.f64 (+.f64 (*.f64 x (*.f64 x 3)) (*.f64 x -4)) 1)) |
(*.f64 3 (+.f64 (-.f64 (*.f64 3 (*.f64 x x)) (*.f64 x 4)) 1)) |
(*.f64 3 (+.f64 1 (-.f64 (*.f64 3 (*.f64 x x)) (*.f64 x 4)))) |
(*.f64 3 (+.f64 1 (+.f64 (*.f64 3 (*.f64 x x)) (*.f64 x -4)))) |
(if (<=.f64 x -4480213828763035/137438953472) (*.f64 x (-.f64 (*.f64 9 x) 12)) (if (<=.f64 x 2206850397687871/2361183241434822606848) (+.f64 (*.f64 -12 x) 3) (*.f64 x (-.f64 (*.f64 9 x) 12)))) |
(if (<=.f64 x -4480213828763035/137438953472) (*.f64 x (+.f64 (*.f64 x 9) -12)) (if (<=.f64 x 2206850397687871/2361183241434822606848) (+.f64 3 (*.f64 x -12)) (*.f64 x (+.f64 (*.f64 x 9) -12)))) |
(if (<=.f64 x -4480213828763035/137438953472) (*.f64 x (+.f64 -12 (*.f64 x 9))) (if (<=.f64 x 2206850397687871/2361183241434822606848) (+.f64 3 (*.f64 x -12)) (*.f64 x (+.f64 -12 (*.f64 x 9))))) |
(if (<=.f64 x -4480213828763035/137438953472) (*.f64 x (*.f64 x 9)) (if (<=.f64 x 2206850397687871/2361183241434822606848) (+.f64 (*.f64 -12 x) 3) (*.f64 (*.f64 x x) 9))) |
(if (<=.f64 x -4480213828763035/137438953472) (*.f64 x (*.f64 x 9)) (if (<=.f64 x 2206850397687871/2361183241434822606848) (+.f64 3 (*.f64 x -12)) (*.f64 9 (*.f64 x x)))) |
(if (<=.f64 x -4480213828763035/137438953472) (*.f64 x (*.f64 x 9)) (if (<=.f64 x 2206850397687871/2361183241434822606848) 3 (*.f64 (*.f64 x x) 9))) |
(if (<=.f64 x -4480213828763035/137438953472) (*.f64 x (*.f64 x 9)) (if (<=.f64 x 2206850397687871/2361183241434822606848) 3 (*.f64 9 (*.f64 x x)))) |
(if (<=.f64 x -4480213828763035/137438953472) (*.f64 (*.f64 x x) 9) (if (<=.f64 x 2206850397687871/2361183241434822606848) 3 (*.f64 (*.f64 x x) 9))) |
(if (<=.f64 x -4480213828763035/137438953472) (*.f64 9 (*.f64 x x)) (if (<=.f64 x 2206850397687871/2361183241434822606848) 3 (*.f64 9 (*.f64 x x)))) |
3 |
Compiled 130 to 95 computations (26.9% saved)
| 1× | egg-herbie |
| 954× | fma-def_binary64 |
| 722× | fma-neg_binary64 |
| 150× | cancel-sign-sub-inv_binary64 |
| 108× | distribute-rgt-in_binary64 |
| 76× | associate-*l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 19 |
| 1 | 33 | 14 |
| 2 | 76 | 12 |
| 3 | 186 | 12 |
| 4 | 380 | 9 |
| 5 | 545 | 9 |
| 6 | 872 | 9 |
| 7 | 1533 | 9 |
| 8 | 2421 | 9 |
| 9 | 2802 | 9 |
| 10 | 2913 | 9 |
| 11 | 3039 | 9 |
| 12 | 3045 | 9 |
| 13 | 3045 | 9 |
| 1× | saturated |
Compiled 185 to 151 computations (18.4% saved)
Compiled 123 to 85 computations (30.9% saved)
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