Time bar (total: 10.2s)
| 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)
| 1.8s | 8256× | body | 256 | valid |
| 1.0ms | 14× | 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 | (*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) |
| ▶ | 0.1b | (fma.f64 x (fma.f64 x 9 -12) 3) |
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)) |
| ✓ | 0.2b | (*.f64 (*.f64 x 3) x) |
Compiled 49 to 35 computations (28.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (*.f64 x 3) x) |
| 1.0ms | x | @ | inf | (*.f64 (*.f64 x 3) x) |
| 1.0ms | x | @ | inf | (*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) |
| 1.0ms | x | @ | 0 | (*.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)
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 320 | 12 | 332 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 321 | 13 | 334 |
| Status | Error | Program |
|---|---|---|
| 57.1b | (fma.f64 x (pow.f64 (sqrt.f64 (fma.f64 x 9 -12)) 2) 3) | |
| 18.9b | (+.f64 (*.f64 -12 x) 3) | |
| 0.1b | (fma.f64 (*.f64 x (fma.f64 x 3 -4)) 3 3) | |
| ✓ | 0.1b | (*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) |
| 34.3b | (*.f64 3 (+.f64 (fma.f64 (*.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x -4)) 1)) | |
| ▶ | 43.2b | (*.f64 x (*.f64 x 9)) |
| 43.2b | (*.f64 9 (pow.f64 x 2)) | |
| ▶ | 0.1b | (*.f64 3 (+.f64 (-.f64 (*.f64 3 (*.f64 x x)) (*.f64 x 4)) 1)) |
| ▶ | 1.7b | (*.f64 3 (+.f64 (-.f64 (exp.f64 (log.f64 (*.f64 x (*.f64 x 3)))) (*.f64 x 4)) 1)) |
| 19.2b | 3 | |
| ▶ | 0.1b | (fma.f64 x (-.f64 (*.f64 9 x) 12) 3) |
| 22.9b | (fma.f64 (*.f64 3 (sqrt.f64 (*.f64 x (fma.f64 x 3 -4)))) (sqrt.f64 (*.f64 x (fma.f64 x 3 -4))) 3) | |
| ▶ | 0.1b | (+.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) 3) |
Compiled 266 to 209 computations (21.4% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 9 x) 12) |
| ✓ | 0.1b | (fma.f64 x (-.f64 (*.f64 9 x) 12) 3) |
Compiled 21 to 16 computations (23.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (fma.f64 x (-.f64 (*.f64 9 x) 12) 3) |
| 0.0ms | x | @ | inf | (fma.f64 x (-.f64 (*.f64 9 x) 12) 3) |
| 0.0ms | x | @ | -inf | (fma.f64 x (-.f64 (*.f64 9 x) 12) 3) |
| 0.0ms | x | @ | inf | (-.f64 (*.f64 9 x) 12) |
| 0.0ms | x | @ | 0 | (-.f64 (*.f64 9 x) 12) |
| 1× | batch-egg-rewrite |
| 814× | pow1_binary64 |
| 764× | add-log-exp_binary64 |
| 764× | log1p-expm1-u_binary64 |
| 764× | expm1-log1p-u_binary64 |
| 752× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 14 |
| 1 | 174 | 14 |
| 2 | 2006 | 14 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 x (-.f64 (*.f64 9 x) 12) 3) |
(-.f64 (*.f64 9 x) 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 (*.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 (pow.f64 x 3) 729) -1728) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 81) (+.f64 144 (*.f64 x 108)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (*.f64 x x) 81) -144) (/.f64 1 (fma.f64 x 9 12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 81) (+.f64 144 (*.f64 x 108))) (+.f64 (*.f64 (pow.f64 x 3) 729) -1728)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x 9 12) (+.f64 (*.f64 (*.f64 x x) 81) -144)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 729) -1728) (+.f64 (*.f64 (*.f64 x x) 81) (+.f64 144 (*.f64 x 108))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 729) -1728) (+.f64 (*.f64 (*.f64 x x) 81) (-.f64 144 (*.f64 (*.f64 x 9) -12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 x x) 81) -144) (fma.f64 x 9 12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 x x) 81) -144) (-.f64 (*.f64 x 9) -12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 729) -1728)) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 81) (+.f64 144 (*.f64 x 108)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) 81) -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 |
| 540× | cube-prod_binary64 |
| 537× | associate-*l*_binary64 |
| 525× | fabs-mul_binary64 |
| 513× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 135 |
| 1 | 30 | 123 |
| 2 | 49 | 121 |
| 3 | 84 | 99 |
| 4 | 195 | 99 |
| 5 | 537 | 99 |
| 6 | 1798 | 99 |
| 7 | 3138 | 99 |
| 8 | 3344 | 99 |
| 9 | 3557 | 99 |
| 10 | 3777 | 99 |
| 11 | 4090 | 99 |
| 12 | 4492 | 99 |
| 13 | 5001 | 99 |
| 14 | 5568 | 99 |
| 15 | 6250 | 99 |
| 16 | 7087 | 99 |
| 17 | 7477 | 99 |
| 18 | 7763 | 99 |
| 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 9 x) |
(*.f64 9 x) |
| 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)) |
(fma.f64 -12 x (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 9 (*.f64 x x))) |
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3)) |
(fma.f64 -12 x (fma.f64 x (*.f64 x 9) 3)) |
(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 (+.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 9 (*.f64 x x))) |
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3)) |
(fma.f64 -12 x (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 9 (*.f64 x x))) |
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3)) |
(fma.f64 -12 x (fma.f64 x (*.f64 x 9) 3)) |
(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 (+.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 9 (*.f64 x x))) |
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3)) |
(fma.f64 -12 x (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 9 (*.f64 x x))) |
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3)) |
(fma.f64 -12 x (fma.f64 x (*.f64 x 9) 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
-12 |
(*.f64 9 x) |
(*.f64 x 9) |
(*.f64 9 x) |
(*.f64 x 9) |
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 | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | (*.f64 x (*.f64 x 9)) |
| 1.0ms | x | @ | inf | (*.f64 x (*.f64 x 9)) |
| 1.0ms | x | @ | 0 | (*.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 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 | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 3 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (*.f64 3 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (*.f64 3 (+.f64 (-.f64 (*.f64 3 (*.f64 x x)) (*.f64 x 4)) 1)) |
| 0.0ms | x | @ | inf | (*.f64 3 (+.f64 (-.f64 (*.f64 3 (*.f64 x x)) (*.f64 x 4)) 1)) |
| 0.0ms | x | @ | -inf | (*.f64 3 (*.f64 x x)) |
| 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 |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x -4 (*.f64 x 4))) (sqrt.f64 (fma.f64 x -4 (*.f64 x 4))) (*.f64 x (fma.f64 3 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -4)) (sqrt.f64 (*.f64 x -4)) (*.f64 3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 2 (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)) (*.f64 3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x 4) (*.f64 3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (sqrt.f64 3) (*.f64 2 (sqrt.f64 x))) (-.f64 (*.f64 x (sqrt.f64 3)) (*.f64 2 (sqrt.f64 x))) (fma.f64 x -4 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (sqrt.f64 3) (*.f64 2 (sqrt.f64 x))) (-.f64 (*.f64 x (sqrt.f64 3)) (*.f64 2 (sqrt.f64 x))) (fma.f64 (*.f64 x -4) 1 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (sqrt.f64 3) (*.f64 2 (sqrt.f64 x))) (-.f64 (*.f64 x (sqrt.f64 3)) (*.f64 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(pow.f64 (cbrt.f64 x) 2) (fma.f64 x -4 (fma.f64 x -4 (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (-.f64 (*.f64 x 4) (fma.f64 x -4 (*.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 x) 1) x (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 x) 1) x (*.f64 (*.f64 x -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 x) 1) x (fma.f64 x -4 (fma.f64 x -4 (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 x) 1) x (neg.f64 (-.f64 (*.f64 x 4) (fma.f64 x -4 (*.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (*.f64 x -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 x -4 (fma.f64 x -4 (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 x 4) (fma.f64 x -4 (*.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 x) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 x) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 x -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 x) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x -4 (fma.f64 x -4 (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 x) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 x 4) (fma.f64 x -4 (*.f64 x 4))))))))) |
| 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 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 x 3 -4) |
| ✓ | 0.1b | (*.f64 x (fma.f64 x 3 -4)) |
| ✓ | 0.1b | (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) |
Compiled 32 to 24 computations (25% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) |
| 1.0ms | x | @ | -inf | (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) |
| 1.0ms | x | @ | inf | (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) |
| 1.0ms | x | @ | 0 | (*.f64 x (fma.f64 x 3 -4)) |
| 1.0ms | x | @ | -inf | (*.f64 x (fma.f64 x 3 -4)) |
| 1× | batch-egg-rewrite |
| 647× | pow1_binary64 |
| 601× | add-log-exp_binary64 |
| 601× | log1p-expm1-u_binary64 |
| 601× | expm1-log1p-u_binary64 |
| 591× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 24 |
| 1 | 144 | 24 |
| 2 | 1648 | 24 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (*.f64 x (fma.f64 x 3 -4))) |
(*.f64 x (fma.f64 x 3 -4)) |
(fma.f64 x 3 -4) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 x) (*.f64 3 x)) (*.f64 (*.f64 3 x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 x) (*.f64 3 x)) (*.f64 -4 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 x (fma.f64 x 3 -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 3 x)) (fma.f64 x 3 -4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 x) x) (*.f64 -4 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 3 x)) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 x 3 -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x 3 -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x 3 -4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 3 -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 3 -4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 3 -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 3 -4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 3 -4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 3 -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 3 -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x 3 -4)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -4 (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 x) -4)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 x) 1) -4)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 3 -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 3 -4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 3 -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 3 -4)) (pow.f64 (cbrt.f64 (fma.f64 x 3 -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 -4)) 2) (cbrt.f64 (fma.f64 x 3 -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 3 -4)) (sqrt.f64 (fma.f64 x 3 -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 3 x) 3) -64) (+.f64 (*.f64 (*.f64 3 x) (*.f64 3 x)) (-.f64 16 (*.f64 (*.f64 3 x) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 3 x) (*.f64 3 x)) 16) (-.f64 (*.f64 3 x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 3 -4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 3 -4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 3 -4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 3 -4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 3 -4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 3 -4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 3 -4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 3 -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 3 -4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 3 -4))))))) |
| 1× | egg-herbie |
| 2020× | unswap-sqr_binary64 |
| 1080× | sqr-pow_binary64 |
| 641× | fabs-mul_binary64 |
| 612× | pow-sqr_binary64 |
| 610× | cube-prod_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 288 |
| 1 | 34 | 288 |
| 2 | 55 | 252 |
| 3 | 107 | 234 |
| 4 | 269 | 234 |
| 5 | 814 | 234 |
| 6 | 1256 | 234 |
| 7 | 1720 | 234 |
| 8 | 1828 | 234 |
| 9 | 1962 | 234 |
| 10 | 2134 | 234 |
| 11 | 2375 | 234 |
| 12 | 2688 | 234 |
| 13 | 3058 | 234 |
| 14 | 3515 | 234 |
| 15 | 4104 | 234 |
| 16 | 4818 | 234 |
| 17 | 5680 | 234 |
| 18 | 6104 | 234 |
| 19 | 6418 | 234 |
| 20 | 6726 | 234 |
| 21 | 6804 | 234 |
| 22 | 6840 | 234 |
| 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))) |
(*.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)) |
-4 |
(-.f64 (*.f64 3 x) 4) |
(-.f64 (*.f64 3 x) 4) |
(-.f64 (*.f64 3 x) 4) |
(*.f64 3 x) |
(-.f64 (*.f64 3 x) 4) |
(-.f64 (*.f64 3 x) 4) |
(-.f64 (*.f64 3 x) 4) |
(*.f64 3 x) |
(-.f64 (*.f64 3 x) 4) |
(-.f64 (*.f64 3 x) 4) |
(-.f64 (*.f64 3 x) 4) |
| 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)) |
(*.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)) |
(fma.f64 x -4 (*.f64 x (*.f64 x 3))) |
(*.f64 x (fma.f64 x 3 -4)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(fma.f64 3 (*.f64 x x) (*.f64 x -4)) |
(fma.f64 x -4 (*.f64 x (*.f64 x 3))) |
(*.f64 x (fma.f64 x 3 -4)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(fma.f64 3 (*.f64 x x) (*.f64 x -4)) |
(fma.f64 x -4 (*.f64 x (*.f64 x 3))) |
(*.f64 x (fma.f64 x 3 -4)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 3) |
(*.f64 x (*.f64 x 3)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(fma.f64 3 (*.f64 x x) (*.f64 x -4)) |
(fma.f64 x -4 (*.f64 x (*.f64 x 3))) |
(*.f64 x (fma.f64 x 3 -4)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(fma.f64 3 (*.f64 x x) (*.f64 x -4)) |
(fma.f64 x -4 (*.f64 x (*.f64 x 3))) |
(*.f64 x (fma.f64 x 3 -4)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(fma.f64 3 (*.f64 x x) (*.f64 x -4)) |
(fma.f64 x -4 (*.f64 x (*.f64 x 3))) |
(*.f64 x (fma.f64 x 3 -4)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 3) |
(*.f64 x (*.f64 x 3)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(fma.f64 3 (*.f64 x x) (*.f64 x -4)) |
(fma.f64 x -4 (*.f64 x (*.f64 x 3))) |
(*.f64 x (fma.f64 x 3 -4)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(fma.f64 3 (*.f64 x x) (*.f64 x -4)) |
(fma.f64 x -4 (*.f64 x (*.f64 x 3))) |
(*.f64 x (fma.f64 x 3 -4)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(fma.f64 3 (*.f64 x x) (*.f64 x -4)) |
(fma.f64 x -4 (*.f64 x (*.f64 x 3))) |
(*.f64 x (fma.f64 x 3 -4)) |
-4 |
(-.f64 (*.f64 3 x) 4) |
(fma.f64 3 x -4) |
(fma.f64 x 3 -4) |
(-.f64 (*.f64 3 x) 4) |
(fma.f64 3 x -4) |
(fma.f64 x 3 -4) |
(-.f64 (*.f64 3 x) 4) |
(fma.f64 3 x -4) |
(fma.f64 x 3 -4) |
(*.f64 3 x) |
(*.f64 x 3) |
(-.f64 (*.f64 3 x) 4) |
(fma.f64 3 x -4) |
(fma.f64 x 3 -4) |
(-.f64 (*.f64 3 x) 4) |
(fma.f64 3 x -4) |
(fma.f64 x 3 -4) |
(-.f64 (*.f64 3 x) 4) |
(fma.f64 3 x -4) |
(fma.f64 x 3 -4) |
(*.f64 3 x) |
(*.f64 x 3) |
(-.f64 (*.f64 3 x) 4) |
(fma.f64 3 x -4) |
(fma.f64 x 3 -4) |
(-.f64 (*.f64 3 x) 4) |
(fma.f64 3 x -4) |
(fma.f64 x 3 -4) |
(-.f64 (*.f64 3 x) 4) |
(fma.f64 3 x -4) |
(fma.f64 x 3 -4) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 3 (+.f64 (-.f64 (exp.f64 (log.f64 (*.f64 x (*.f64 x 3)))) (*.f64 x 4)) 1)) |
| ✓ | 0.2b | (*.f64 x (*.f64 x 3)) |
| ✓ | 3.6b | (exp.f64 (log.f64 (*.f64 x (*.f64 x 3)))) |
| ✓ | 20.6b | (log.f64 (*.f64 x (*.f64 x 3))) |
Compiled 68 to 50 computations (26.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 100.0ms | x | @ | 0 | (log.f64 (*.f64 x (*.f64 x 3))) |
| 22.0ms | x | @ | inf | (log.f64 (*.f64 x (*.f64 x 3))) |
| 0.0ms | x | @ | -inf | (log.f64 (*.f64 x (*.f64 x 3))) |
| 0.0ms | x | @ | 0 | (exp.f64 (log.f64 (*.f64 x (*.f64 x 3)))) |
| 0.0ms | x | @ | inf | (exp.f64 (log.f64 (*.f64 x (*.f64 x 3)))) |
| 1× | batch-egg-rewrite |
| 613× | log-prod_binary64 |
| 569× | fma-def_binary64 |
| 384× | fma-neg_binary64 |
| 319× | pow2_binary64 |
| 217× | log1p-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 42 |
| 1 | 272 | 37 |
| 2 | 3513 | 35 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (*.f64 x (*.f64 x 3))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x 3)))) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (+.f64 (-.f64 (exp.f64 (log.f64 (*.f64 x (*.f64 x 3)))) (*.f64 x 4)) 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 x (*.f64 x 3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (log.f64 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 3) (*.f64 2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 x 3)) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 x)) (log.f64 (*.f64 (sqrt.f64 x) (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2)) (log.f64 (*.f64 (cbrt.f64 (*.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 4))) (log.f64 (cbrt.f64 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (log.f64 x)) (log.f64 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (*.f64 x 3))) (log.f64 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((#(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 /.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (*.f64 x (*.f64 x 3)))))) (E.f64))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 4) 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 (*.f64 x (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) 27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))) 2)) (*.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 3))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 3))))) (*.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3))))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 3))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))) 2)) 1) (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))))) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 3))))) 1) (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 3))))) (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3))))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 3))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 3))))) (sqrt.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))))) (sqrt.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 4))))) (#(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 (*.f64 (pow.f64 x 6) 27))))) (#(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 +.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 (pow.f64 (fma.f64 x (fma.f64 x 3 -4) 1) 2) 9) 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 (pow.f64 (fma.f64 x (fma.f64 x 3 -4) 1) 2) 9))))) (#(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))))) |
| 1× | egg-herbie |
| 522× | fma-neg_binary64 |
| 487× | sub-neg_binary64 |
| 351× | fma-def_binary64 |
| 276× | log-div_binary64 |
| 257× | associate-+l-_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 414 |
| 1 | 60 | 402 |
| 2 | 93 | 400 |
| 3 | 178 | 378 |
| 4 | 412 | 378 |
| 5 | 1164 | 378 |
| 6 | 2727 | 378 |
| 7 | 5974 | 378 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 3)) |
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 3)) |
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 3)) |
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 3)) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3)) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3)) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3)) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3)) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 3)) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 3)) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 3)) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 3)) |
(*.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)) |
(*.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)))) |
| Outputs |
|---|
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 3)) |
(fma.f64 2 (log.f64 x) (log.f64 3)) |
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 3)) |
(fma.f64 2 (log.f64 x) (log.f64 3)) |
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 3)) |
(fma.f64 2 (log.f64 x) (log.f64 3)) |
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 3)) |
(fma.f64 2 (log.f64 x) (log.f64 3)) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3)) |
(fma.f64 2 (log.f64 x) (log.f64 3)) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3)) |
(fma.f64 2 (log.f64 x) (log.f64 3)) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3)) |
(fma.f64 2 (log.f64 x) (log.f64 3)) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3)) |
(fma.f64 2 (log.f64 x) (log.f64 3)) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 3)) |
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 3)) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 3)) |
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 3)) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 3)) |
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 3)) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 3)) |
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
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 (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 (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 x (*.f64 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 (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 (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 x (*.f64 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 (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 (fma.f64 x 9 -12) 3) |
Compiled 9934 to 7758 computations (21.9% saved)
15 alts after pruning (12 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 550 | 11 | 561 |
| Fresh | 6 | 1 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 3 | 5 |
| Total | 559 | 15 | 574 |
| Status | Error | Program |
|---|---|---|
| 0.2b | (+.f64 (+.f64 (*.f64 (*.f64 3 x) (*.f64 3 x)) (*.f64 (*.f64 3 x) -4)) 3) | |
| ▶ | 18.9b | (+.f64 (*.f64 -12 x) 3) |
| 0.1b | (fma.f64 (*.f64 x (fma.f64 x 3 -4)) 3 3) | |
| 19.2b | 3 | |
| ✓ | 43.2b | (*.f64 x (*.f64 x 9)) |
| ▶ | 1.3b | (+.f64 (*.f64 3 (*.f64 x (*.f64 x 3))) 3) |
| 34.3b | (*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 x 4)) 1)) | |
| 0.2b | (fma.f64 x (*.f64 (+.f64 (*.f64 (*.f64 x x) 81) -144) (/.f64 1 (fma.f64 x 9 12))) 3) | |
| ✓ | 0.1b | (+.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) 3) |
| 1.3b | (+.f64 (*.f64 x (*.f64 x 9)) 3) | |
| ▶ | 0.1b | (+.f64 (*.f64 3 (*.f64 x (-.f64 (*.f64 3 x) 4))) 3) |
| ▶ | 43.2b | (*.f64 9 (pow.f64 x 2)) |
| ▶ | 0.2b | (*.f64 3 (+.f64 (-.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 2) (*.f64 x 4)) 1)) |
| 22.9b | (fma.f64 (*.f64 3 (sqrt.f64 (*.f64 x (fma.f64 x 3 -4)))) (sqrt.f64 (*.f64 x (fma.f64 x 3 -4))) 3) | |
| ✓ | 0.1b | (*.f64 3 (+.f64 (-.f64 (*.f64 3 (*.f64 x x)) (*.f64 x 4)) 1)) |
Compiled 309 to 246 computations (20.4% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 3 x) 4) |
| ✓ | 0.1b | (*.f64 x (-.f64 (*.f64 3 x) 4)) |
| ✓ | 0.1b | (*.f64 3 (*.f64 x (-.f64 (*.f64 3 x) 4))) |
Compiled 39 to 30 computations (23.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 3 (*.f64 x (-.f64 (*.f64 3 x) 4))) |
| 1.0ms | x | @ | 0 | (*.f64 3 (*.f64 x (-.f64 (*.f64 3 x) 4))) |
| 1.0ms | x | @ | inf | (*.f64 3 (*.f64 x (-.f64 (*.f64 3 x) 4))) |
| 1.0ms | x | @ | -inf | (*.f64 x (-.f64 (*.f64 3 x) 4)) |
| 0.0ms | x | @ | 0 | (*.f64 x (-.f64 (*.f64 3 x) 4)) |
| 1× | batch-egg-rewrite |
| 846× | pow1_binary64 |
| 791× | add-log-exp_binary64 |
| 791× | log1p-expm1-u_binary64 |
| 791× | expm1-log1p-u_binary64 |
| 778× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 1 | 176 | 24 |
| 2 | 2133 | 24 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (*.f64 x (-.f64 (*.f64 3 x) 4))) |
(*.f64 x (-.f64 (*.f64 3 x) 4)) |
(-.f64 (*.f64 3 x) 4) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9 (*.f64 x x)) (*.f64 (*.f64 3 x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9 (*.f64 x x)) (*.f64 -4 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 x (fma.f64 3 x -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 x) (+.f64 (*.f64 27 (pow.f64 x 3)) -64)) (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 16 (*.f64 x 12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 x) (+.f64 (*.f64 9 (*.f64 x x)) -16)) (fma.f64 3 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (pow.f64 (*.f64 x (fma.f64 3 x -4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 3) x) (fma.f64 3 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 27 (pow.f64 x 3)) (pow.f64 (fma.f64 3 x -4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 x) x) (*.f64 -4 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 3 x)) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 3 x -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) -64) x) (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 16 (*.f64 x 12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 9 (*.f64 x x)) -16) x) (fma.f64 3 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (*.f64 27 (pow.f64 x 3)) -64)) (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 16 (*.f64 x 12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (*.f64 9 (*.f64 x x)) -16)) (fma.f64 3 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 3 x -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 3 x -4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 3 x -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 3 x -4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 3 x -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 3 x -4)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 3 x -4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 3 x -4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 3 x -4) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 3 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 3 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 3 x -4)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 x) -4)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -4 (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3 x -4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3 x -4)) (pow.f64 (cbrt.f64 (fma.f64 3 x -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x -4)) 2) (cbrt.f64 (fma.f64 3 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3 x -4)) (sqrt.f64 (fma.f64 3 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) -64) (/.f64 1 (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 16 (*.f64 x 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 9 (*.f64 x x)) -16) (/.f64 1 (fma.f64 3 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 16 (*.f64 x 12))) (+.f64 (*.f64 27 (pow.f64 x 3)) -64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 3 x 4) (+.f64 (*.f64 9 (*.f64 x x)) -16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) -64) (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 16 (*.f64 x 12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) -64) (+.f64 (*.f64 9 (*.f64 x x)) (-.f64 16 (*.f64 (*.f64 3 x) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 9 (*.f64 x x)) -16) (fma.f64 3 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 9 (*.f64 x x)) -16) (-.f64 (*.f64 3 x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) -64)) (neg.f64 (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 16 (*.f64 x 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 9 (*.f64 x x)) -16)) (neg.f64 (fma.f64 3 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3 x -4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3 x -4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3 x -4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3 x -4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3 x -4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3 x -4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 x -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3 -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3 x) -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2) (cbrt.f64 (*.f64 3 x)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3 x)) (sqrt.f64 (*.f64 3 x)) -4))))) |
| 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 | 15 | 243 |
| 1 | 29 | 243 |
| 2 | 48 | 225 |
| 3 | 103 | 189 |
| 4 | 276 | 189 |
| 5 | 820 | 189 |
| 6 | 1257 | 189 |
| 7 | 1721 | 189 |
| 8 | 1829 | 189 |
| 9 | 1961 | 189 |
| 10 | 2133 | 189 |
| 11 | 2374 | 189 |
| 12 | 2687 | 189 |
| 13 | 3059 | 189 |
| 14 | 3517 | 189 |
| 15 | 4100 | 189 |
| 16 | 4808 | 189 |
| 17 | 5668 | 189 |
| 18 | 6092 | 189 |
| 19 | 6408 | 189 |
| 20 | 6714 | 189 |
| 21 | 6792 | 189 |
| 22 | 6828 | 189 |
| 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))) |
(*.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)) |
-4 |
(*.f64 3 x) |
(*.f64 3 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 (*.f64 x 9) -12)) |
(*.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 (*.f64 x 9) -12)) |
(*.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 (*.f64 x 9) -12)) |
(*.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 (*.f64 x 9) -12)) |
(*.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 (*.f64 x 9) -12)) |
(*.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 (*.f64 x 9) -12)) |
(*.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 (*.f64 x 9) -12)) |
(*.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 (*.f64 x 9) -12)) |
(*.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 (*.f64 x 9) -12)) |
(*.f64 x (fma.f64 x 9 -12)) |
(*.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)) |
(fma.f64 x -4 (*.f64 x (*.f64 x 3))) |
(*.f64 x (+.f64 (*.f64 x 3) -4)) |
(*.f64 x (fma.f64 x 3 -4)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(fma.f64 3 (*.f64 x x) (*.f64 x -4)) |
(fma.f64 x -4 (*.f64 x (*.f64 x 3))) |
(*.f64 x (+.f64 (*.f64 x 3) -4)) |
(*.f64 x (fma.f64 x 3 -4)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(fma.f64 3 (*.f64 x x) (*.f64 x -4)) |
(fma.f64 x -4 (*.f64 x (*.f64 x 3))) |
(*.f64 x (+.f64 (*.f64 x 3) -4)) |
(*.f64 x (fma.f64 x 3 -4)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 3) |
(*.f64 x (*.f64 x 3)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(fma.f64 3 (*.f64 x x) (*.f64 x -4)) |
(fma.f64 x -4 (*.f64 x (*.f64 x 3))) |
(*.f64 x (+.f64 (*.f64 x 3) -4)) |
(*.f64 x (fma.f64 x 3 -4)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(fma.f64 3 (*.f64 x x) (*.f64 x -4)) |
(fma.f64 x -4 (*.f64 x (*.f64 x 3))) |
(*.f64 x (+.f64 (*.f64 x 3) -4)) |
(*.f64 x (fma.f64 x 3 -4)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(fma.f64 3 (*.f64 x x) (*.f64 x -4)) |
(fma.f64 x -4 (*.f64 x (*.f64 x 3))) |
(*.f64 x (+.f64 (*.f64 x 3) -4)) |
(*.f64 x (fma.f64 x 3 -4)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 3) |
(*.f64 x (*.f64 x 3)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(fma.f64 3 (*.f64 x x) (*.f64 x -4)) |
(fma.f64 x -4 (*.f64 x (*.f64 x 3))) |
(*.f64 x (+.f64 (*.f64 x 3) -4)) |
(*.f64 x (fma.f64 x 3 -4)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(fma.f64 3 (*.f64 x x) (*.f64 x -4)) |
(fma.f64 x -4 (*.f64 x (*.f64 x 3))) |
(*.f64 x (+.f64 (*.f64 x 3) -4)) |
(*.f64 x (fma.f64 x 3 -4)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -4 x)) |
(fma.f64 3 (*.f64 x x) (*.f64 x -4)) |
(fma.f64 x -4 (*.f64 x (*.f64 x 3))) |
(*.f64 x (+.f64 (*.f64 x 3) -4)) |
(*.f64 x (fma.f64 x 3 -4)) |
-4 |
(*.f64 3 x) |
(*.f64 x 3) |
(*.f64 3 x) |
(*.f64 x 3) |
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 | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (+.f64 (*.f64 -12 x) 3) |
| 1.0ms | x | @ | inf | (+.f64 (*.f64 -12 x) 3) |
| 1.0ms | 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 (*.f64 x 3))) 3) |
| ✓ | 0.2b | (*.f64 3 (*.f64 x (*.f64 x 3))) |
| 0.2b | (*.f64 x (*.f64 x 3)) |
Compiled 27 to 19 computations (29.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+.f64 (*.f64 3 (*.f64 x (*.f64 x 3))) 3) |
| 1.0ms | x | @ | 0 | (*.f64 3 (*.f64 x (*.f64 x 3))) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 3 (*.f64 x (*.f64 x 3))) 3) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 3 (*.f64 x (*.f64 x 3))) 3) |
| 0.0ms | x | @ | inf | (*.f64 3 (*.f64 x (*.f64 x 3))) |
| 1× | batch-egg-rewrite |
| 735× | pow1_binary64 |
| 683× | add-log-exp_binary64 |
| 683× | log1p-expm1-u_binary64 |
| 683× | expm1-log1p-u_binary64 |
| 670× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 21 |
| 1 | 154 | 17 |
| 2 | 1887 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (*.f64 x (*.f64 x 3))) |
(+.f64 (*.f64 3 (*.f64 x (*.f64 x 3))) 3) |
| Outputs |
|---|
((#(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 3 x) 2)))) (#(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 (cbrt.f64 (*.f64 3 x)) 2) 3)))) (#(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 sqrt.f64 (pow.f64 (*.f64 (*.f64 x x) 9) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.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 (log.f64 (*.f64 (*.f64 x x) 9))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 3 (*.f64 (*.f64 x x) 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) 9) 2) (+.f64 (*.f64 (*.f64 x x) 9) -3)) (/.f64 9 (+.f64 (*.f64 (*.f64 x x) 9) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 3 (*.f64 (*.f64 x x) 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 3 (*.f64 (*.f64 x x) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 3 (*.f64 (*.f64 x x) 9))) (pow.f64 (cbrt.f64 (+.f64 3 (*.f64 (*.f64 x x) 9))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 3 (*.f64 (*.f64 x x) 9))) 2) (cbrt.f64 (+.f64 3 (*.f64 (*.f64 x x) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 3 (*.f64 (*.f64 x x) 9))) (sqrt.f64 (+.f64 3 (*.f64 (*.f64 x x) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 27 (pow.f64 (*.f64 (*.f64 x x) 9) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (*.f64 x x) 9) 2) (-.f64 9 (*.f64 (*.f64 x (*.f64 3 x)) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) 9) 2) -9) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 9) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x (*.f64 3 x)) 1) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) 9) 2) (-.f64 9 (*.f64 (*.f64 x (*.f64 3 x)) 9))) (+.f64 27 (pow.f64 (*.f64 (*.f64 x x) 9) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 9) -3) (+.f64 (pow.f64 (*.f64 (*.f64 x x) 9) 2) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 27 (pow.f64 (*.f64 (*.f64 x x) 9) 3)) (+.f64 (pow.f64 (*.f64 (*.f64 x x) 9) 2) (-.f64 9 (*.f64 (*.f64 x (*.f64 3 x)) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 27 (pow.f64 (*.f64 (*.f64 x x) 9) 3)) (+.f64 9 (-.f64 (pow.f64 (*.f64 (*.f64 x x) 9) 2) (*.f64 (*.f64 x (*.f64 3 x)) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) 9) 2) -9) (+.f64 (*.f64 (*.f64 x x) 9) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 27 (pow.f64 (*.f64 (*.f64 x x) 9) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) 9) 2) (-.f64 9 (*.f64 (*.f64 x (*.f64 3 x)) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) 9) 2) -9)) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 9) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (pow.f64 (*.f64 (*.f64 x x) 9) 2)) (-.f64 3 (*.f64 (*.f64 x x) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 3 (*.f64 (*.f64 x x) 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 3 (*.f64 (*.f64 x x) 9)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 3 (*.f64 (*.f64 x x) 9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 3 (*.f64 (*.f64 x x) 9))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 3 (*.f64 (*.f64 x x) 9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 3 (*.f64 (*.f64 x x) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 3 (*.f64 (*.f64 x x) 9)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 3 (*.f64 (*.f64 x x) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 3 (*.f64 (*.f64 x x) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 3 (*.f64 (*.f64 x x) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (*.f64 x (*.f64 3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 x) (*.f64 3 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 3 x)) 3 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 x x) 9) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2) 2) (pow.f64 (cbrt.f64 (*.f64 3 x)) 2) 3))))) |
| 1× | egg-herbie |
| 1082× | sqr-pow_binary64 |
| 560× | cube-prod_binary64 |
| 551× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
| 451× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 189 |
| 1 | 15 | 171 |
| 2 | 28 | 171 |
| 3 | 53 | 171 |
| 4 | 118 | 171 |
| 5 | 352 | 171 |
| 6 | 1280 | 171 |
| 7 | 2185 | 171 |
| 8 | 2349 | 171 |
| 9 | 2532 | 171 |
| 10 | 2740 | 171 |
| 11 | 3038 | 171 |
| 12 | 3433 | 171 |
| 13 | 3912 | 171 |
| 14 | 4478 | 171 |
| 15 | 5166 | 171 |
| 16 | 6001 | 171 |
| 17 | 6395 | 171 |
| 18 | 6683 | 171 |
| 19 | 6957 | 171 |
| 20 | 7027 | 171 |
| 21 | 7061 | 171 |
| 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)) |
3 |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(*.f64 9 (pow.f64 x 2)) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(*.f64 9 (pow.f64 x 2)) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
| Outputs |
|---|
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
3 |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 9 (*.f64 x x)) 3) |
(fma.f64 9 (*.f64 x x) 3) |
(fma.f64 x (*.f64 9 x) 3) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 9 (*.f64 x x)) 3) |
(fma.f64 9 (*.f64 x x) 3) |
(fma.f64 x (*.f64 9 x) 3) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 9 (*.f64 x x)) 3) |
(fma.f64 9 (*.f64 x x) 3) |
(fma.f64 x (*.f64 9 x) 3) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 9 (*.f64 x x)) 3) |
(fma.f64 9 (*.f64 x x) 3) |
(fma.f64 x (*.f64 9 x) 3) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 9 (*.f64 x x)) 3) |
(fma.f64 9 (*.f64 x x) 3) |
(fma.f64 x (*.f64 9 x) 3) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 9 (*.f64 x x)) 3) |
(fma.f64 9 (*.f64 x x) 3) |
(fma.f64 x (*.f64 9 x) 3) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 9 (*.f64 x x)) 3) |
(fma.f64 9 (*.f64 x x) 3) |
(fma.f64 x (*.f64 9 x) 3) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 9 (*.f64 x x)) 3) |
(fma.f64 9 (*.f64 x x) 3) |
(fma.f64 x (*.f64 9 x) 3) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 9 (*.f64 x x)) 3) |
(fma.f64 9 (*.f64 x x) 3) |
(fma.f64 x (*.f64 9 x) 3) |
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 | @ | inf | (*.f64 9 (pow.f64 x 2)) |
| 0.0ms | x | @ | 0 | (*.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 |
|---|
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 2) (*.f64 x 4)) |
| ✓ | 0.1b | (*.f64 3 (+.f64 (-.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 2) (*.f64 x 4)) 1)) |
| ✓ | 0.4b | (pow.f64 (*.f64 x (sqrt.f64 3)) 2) |
| ✓ | 0.4b | (*.f64 x (sqrt.f64 3)) |
Compiled 57 to 47 computations (17.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 x (sqrt.f64 3)) |
| 1.0ms | x | @ | -inf | (pow.f64 (*.f64 x (sqrt.f64 3)) 2) |
| 0.0ms | x | @ | 0 | (pow.f64 (*.f64 x (sqrt.f64 3)) 2) |
| 0.0ms | x | @ | inf | (*.f64 x (sqrt.f64 3)) |
| 0.0ms | x | @ | 0 | (*.f64 3 (+.f64 (-.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 2) (*.f64 x 4)) 1)) |
| 1× | batch-egg-rewrite |
| 584× | log-prod_binary64 |
| 478× | fma-def_binary64 |
| 329× | fma-neg_binary64 |
| 320× | pow2_binary64 |
| 219× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 51 |
| 1 | 290 | 39 |
| 2 | 3664 | 39 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (sqrt.f64 3)) |
(pow.f64 (*.f64 x (sqrt.f64 3)) 2) |
(*.f64 3 (+.f64 (-.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 2) (*.f64 x 4)) 1)) |
(-.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 2) (*.f64 x 4)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x x))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) 27) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 3 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 3 3/2) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sqrt.f64 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 3 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 3 3/2) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 3))) 1)))))) |
((#(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 (cbrt.f64 (exp.f64 (*.f64 3 (*.f64 x x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 3 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 3 (*.f64 x x))))) (log.f64 (sqrt.f64 (exp.f64 (*.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 *.f64 x (*.f64 (sqrt.f64 3) (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 3) (*.f64 x (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3 (*.f64 x x))) (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 3))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3 (*.f64 x x))) (*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 3))) (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 3))) 4) (cbrt.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (sqrt.f64 3))) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 3))) (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 3))) 3) (sqrt.f64 (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (sqrt.f64 3)) x) (sqrt.f64 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (sqrt.f64 3)) (sqrt.f64 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (sqrt.f64 3)) (cbrt.f64 (*.f64 3 (*.f64 x x)))) (cbrt.f64 (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.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 (pow.f64 x 6) 27))))) (#(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 (log.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (*.f64 x x))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (*.f64 3 (fma.f64 3 (*.f64 x x) (*.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (fma.f64 3 (*.f64 x x) (fma.f64 x -4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (fma.f64 3 (*.f64 x x) (*.f64 x -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 (fma.f64 3 (*.f64 x x) (*.f64 x -4))) 1) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 (fma.f64 3 (*.f64 x x) (fma.f64 x -4 1))) 2)) (fma.f64 3 (*.f64 x x) (fma.f64 x -4 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (fma.f64 3 (*.f64 x x) (fma.f64 x -4 1))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (fma.f64 3 (*.f64 x x) (fma.f64 x -4 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (fma.f64 3 (*.f64 x x) (fma.f64 x -4 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 3 (fma.f64 3 (*.f64 x x) (*.f64 x -4))) 3) 27) (+.f64 (pow.f64 (*.f64 3 (fma.f64 3 (*.f64 x x) (*.f64 x -4))) 2) (-.f64 9 (*.f64 (*.f64 3 (fma.f64 3 (*.f64 x x) (*.f64 x -4))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 3 (fma.f64 3 (*.f64 x x) (*.f64 x -4))) 2) 9) (fma.f64 3 (fma.f64 3 (*.f64 x x) (*.f64 x -4)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 3 (*.f64 x x) (*.f64 x -4)) 3)) 3) (+.f64 (pow.f64 (fma.f64 3 (*.f64 x x) (*.f64 x -4)) 2) (-.f64 1 (fma.f64 3 (*.f64 x x) (*.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 3 (*.f64 x x) (*.f64 x -4)) 2) -1) 3) (fma.f64 3 (*.f64 x x) (fma.f64 x -4 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (+.f64 1 (pow.f64 (fma.f64 3 (*.f64 x x) (*.f64 x -4)) 3))) (+.f64 (pow.f64 (fma.f64 3 (*.f64 x x) (*.f64 x -4)) 2) (-.f64 1 (fma.f64 3 (*.f64 x x) (*.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (+.f64 (pow.f64 (fma.f64 3 (*.f64 x x) (*.f64 x -4)) 2) -1)) (fma.f64 3 (*.f64 x x) (fma.f64 x -4 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (fma.f64 3 (*.f64 x x) (fma.f64 x -4 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 3 (*.f64 x x) (fma.f64 x -4 1)) 2) 9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (fma.f64 3 (*.f64 x x) (fma.f64 x -4 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (fma.f64 3 (*.f64 x x) (fma.f64 x -4 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (fma.f64 3 (*.f64 x x) (fma.f64 x -4 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 3 (*.f64 x x) (fma.f64 x -4 1)) 2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (fma.f64 3 (*.f64 x x) (fma.f64 x -4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (fma.f64 3 (*.f64 x x) (fma.f64 x -4 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (fma.f64 3 (*.f64 x x) (fma.f64 x -4 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (fma.f64 3 (*.f64 x x) (fma.f64 x -4 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (fma.f64 3 (*.f64 x x) (fma.f64 x -4 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (fma.f64 3 (*.f64 x x) (fma.f64 x -4 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (fma.f64 3 (*.f64 x x) (fma.f64 x -4 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (fma.f64 3 (*.f64 x x) (*.f64 x -4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 3 (*.f64 x x) (*.f64 x -4)) 3 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3 (fma.f64 3 (*.f64 x x) (*.f64 x -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (*.f64 x x) (*.f64 x -4))) 2) (*.f64 (cbrt.f64 (fma.f64 3 (*.f64 x x) (*.f64 x -4))) 3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 3 (*.f64 x x) (*.f64 x -4))) (*.f64 (sqrt.f64 (fma.f64 3 (*.f64 x x) (*.f64 x -4))) 3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (fma.f64 3 (*.f64 x x) (*.f64 x -4))) 1 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 3 (fma.f64 3 (*.f64 x x) (*.f64 x -4)))) 2) (cbrt.f64 (*.f64 3 (fma.f64 3 (*.f64 x x) (*.f64 x -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3 (fma.f64 3 (*.f64 x x) (*.f64 x -4)))) (sqrt.f64 (*.f64 3 (fma.f64 3 (*.f64 x x) (*.f64 x -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (pow.f64 (cbrt.f64 (fma.f64 3 (*.f64 x x) (*.f64 x -4))) 2)) (cbrt.f64 (fma.f64 3 (*.f64 x x) (*.f64 x -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 (fma.f64 3 (*.f64 x x) (*.f64 x -4)))) (sqrt.f64 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x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x 4) (*.f64 3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (sqrt.f64 3) (*.f64 2 (sqrt.f64 x))) (-.f64 (*.f64 x (sqrt.f64 3)) (*.f64 2 (sqrt.f64 x))) (fma.f64 (*.f64 x -4) 1 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (sqrt.f64 3) (*.f64 2 (sqrt.f64 x))) (-.f64 (*.f64 x (sqrt.f64 3)) (*.f64 2 (sqrt.f64 x))) (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 fma.f64 (fma.f64 x (sqrt.f64 3) (*.f64 2 (sqrt.f64 x))) (-.f64 (*.f64 x (sqrt.f64 3)) (*.f64 2 (sqrt.f64 x))) (fma.f64 -4 x (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x 4)) 2)) (cbrt.f64 (*.f64 x 4)) (*.f64 3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x (sqrt.f64 3)) x) (sqrt.f64 3) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x (sqrt.f64 3)) x) (sqrt.f64 3) (*.f64 (*.f64 x -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x (sqrt.f64 3)) (sqrt.f64 3)) x (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x (sqrt.f64 3)) (sqrt.f64 3)) x (*.f64 (*.f64 x -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x (sqrt.f64 3)) (cbrt.f64 (*.f64 3 (*.f64 x x)))) (cbrt.f64 (*.f64 x (sqrt.f64 3))) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x (sqrt.f64 3)) (cbrt.f64 (*.f64 3 (*.f64 x x)))) (cbrt.f64 (*.f64 x (sqrt.f64 3))) (*.f64 (*.f64 x -4) 1)))))) |
| 1× | egg-herbie |
| 738× | unswap-sqr_binary64 |
| 733× | sqr-pow_binary64 |
| 650× | cube-prod_binary64 |
| 602× | fabs-mul_binary64 |
| 525× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 582 |
| 1 | 48 | 387 |
| 2 | 96 | 376 |
| 3 | 229 | 336 |
| 4 | 875 | 336 |
| 5 | 1669 | 336 |
| 6 | 2974 | 336 |
| 7 | 3220 | 336 |
| 8 | 3416 | 336 |
| 9 | 3631 | 336 |
| 10 | 3886 | 336 |
| 11 | 4222 | 336 |
| 12 | 4649 | 336 |
| 13 | 5169 | 336 |
| 14 | 5830 | 336 |
| 15 | 6663 | 336 |
| 16 | 7135 | 336 |
| 17 | 7541 | 336 |
| 18 | 7879 | 336 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 3) x) |
(*.f64 (sqrt.f64 3) x) |
(*.f64 (sqrt.f64 3) x) |
(*.f64 (sqrt.f64 3) x) |
(*.f64 (sqrt.f64 3) x) |
(*.f64 (sqrt.f64 3) x) |
(*.f64 (sqrt.f64 3) x) |
(*.f64 (sqrt.f64 3) x) |
(*.f64 (sqrt.f64 3) x) |
(*.f64 (sqrt.f64 3) x) |
(*.f64 (sqrt.f64 3) x) |
(*.f64 (sqrt.f64 3) x) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
3 |
(+.f64 (*.f64 -12 x) 3) |
(+.f64 (*.f64 -12 x) (+.f64 (*.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))) 3)) |
(+.f64 (*.f64 -12 x) (+.f64 (*.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))) 3)) |
(*.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))) |
(+.f64 (*.f64 -12 x) (*.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))))) |
(*.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))) |
(+.f64 (*.f64 -12 x) (*.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))))) |
(*.f64 -4 x) |
(+.f64 (*.f64 -4 x) (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))) |
(+.f64 (*.f64 -4 x) (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))) |
(+.f64 (*.f64 -4 x) (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(+.f64 (*.f64 -4 x) (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))) |
(+.f64 (*.f64 -4 x) (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))) |
(+.f64 (*.f64 -4 x) (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(+.f64 (*.f64 -4 x) (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))) |
(+.f64 (*.f64 -4 x) (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))) |
(+.f64 (*.f64 -4 x) (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 3) x) |
(*.f64 (sqrt.f64 3) x) |
(*.f64 (sqrt.f64 3) x) |
(*.f64 (sqrt.f64 3) x) |
(*.f64 (sqrt.f64 3) x) |
(*.f64 (sqrt.f64 3) x) |
(*.f64 (sqrt.f64 3) x) |
(*.f64 (sqrt.f64 3) x) |
(*.f64 (sqrt.f64 3) x) |
(*.f64 (sqrt.f64 3) x) |
(*.f64 (sqrt.f64 3) x) |
(*.f64 (sqrt.f64 3) x) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
3 |
(+.f64 (*.f64 -12 x) 3) |
(fma.f64 -12 x 3) |
(fma.f64 x -12 3) |
(+.f64 (*.f64 -12 x) (+.f64 (*.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))) 3)) |
(fma.f64 -12 x (fma.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) 3)) |
(fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)) |
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(+.f64 (*.f64 -12 x) (+.f64 (*.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))) 3)) |
(fma.f64 -12 x (fma.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) 3)) |
(fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)) |
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(*.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))) |
(*.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x))) |
(*.f64 (*.f64 x x) 9) |
(*.f64 x (*.f64 x 9)) |
(+.f64 (*.f64 -12 x) (*.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)))) |
(fma.f64 -12 x (*.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)))) |
(fma.f64 9 (*.f64 x x) (*.f64 x -12)) |
(*.f64 x (+.f64 (*.f64 x 9) -12)) |
(*.f64 x (fma.f64 x 9 -12)) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))))) |
(fma.f64 -12 x (fma.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) 3)) |
(fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)) |
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))))) |
(fma.f64 -12 x (fma.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) 3)) |
(fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)) |
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(*.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))) |
(*.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x))) |
(*.f64 (*.f64 x x) 9) |
(*.f64 x (*.f64 x 9)) |
(+.f64 (*.f64 -12 x) (*.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)))) |
(fma.f64 -12 x (*.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)))) |
(fma.f64 9 (*.f64 x x) (*.f64 x -12)) |
(*.f64 x (+.f64 (*.f64 x 9) -12)) |
(*.f64 x (fma.f64 x 9 -12)) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))))) |
(fma.f64 -12 x (fma.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) 3)) |
(fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)) |
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))))) |
(fma.f64 -12 x (fma.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) 3)) |
(fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)) |
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(*.f64 -4 x) |
(*.f64 x -4) |
(+.f64 (*.f64 -4 x) (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))) |
(fma.f64 -4 x (*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x 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 -4 x) (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))) |
(fma.f64 -4 x (*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x 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 -4 x) (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))) |
(fma.f64 -4 x (*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x 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 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(+.f64 (*.f64 -4 x) (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))) |
(fma.f64 -4 x (*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x 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 -4 x) (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))) |
(fma.f64 -4 x (*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x 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 -4 x) (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))) |
(fma.f64 -4 x (*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x 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 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(+.f64 (*.f64 -4 x) (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))) |
(fma.f64 -4 x (*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x 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 -4 x) (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))) |
(fma.f64 -4 x (*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x 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 -4 x) (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))) |
(fma.f64 -4 x (*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x))) |
(fma.f64 3 (*.f64 x x) (*.f64 x -4)) |
(*.f64 x (+.f64 (*.f64 3 x) -4)) |
(*.f64 x (fma.f64 3 x -4)) |
Compiled 7066 to 5345 computations (24.4% saved)
14 alts after pruning (8 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 408 | 5 | 413 |
| Fresh | 4 | 3 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 6 | 7 |
| Total | 414 | 14 | 428 |
| Status | Error | Program |
|---|---|---|
| ▶ | 1.3b | (+.f64 (*.f64 9 (*.f64 x x)) 3) |
| ✓ | 18.9b | (+.f64 (*.f64 -12 x) 3) |
| 19.2b | 3 | |
| ▶ | 8.8b | (+.f64 (/.f64 (*.f64 (*.f64 3 x) (+.f64 (*.f64 27 (pow.f64 x 3)) -64)) (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 16 (*.f64 x 12)))) 3) |
| ✓ | 0.1b | (+.f64 (*.f64 3 (*.f64 x (-.f64 (*.f64 3 x) 4))) 3) |
| ✓ | 43.2b | (*.f64 x (*.f64 x 9)) |
| ✓ | 1.3b | (+.f64 (*.f64 3 (*.f64 x (*.f64 x 3))) 3) |
| 34.3b | (*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 x 4)) 1)) | |
| ▶ | 0.2b | (fma.f64 x (*.f64 (+.f64 (*.f64 (*.f64 x x) 81) -144) (/.f64 1 (fma.f64 x 9 12))) 3) |
| ▶ | 61.4b | (*.f64 -12 x) |
| ▶ | 1.3b | (fma.f64 (*.f64 x (*.f64 3 x)) 3 3) |
| 22.9b | (fma.f64 (*.f64 3 (sqrt.f64 (*.f64 x (fma.f64 x 3 -4)))) (sqrt.f64 (*.f64 x (fma.f64 x 3 -4))) 3) | |
| ✓ | 0.1b | (+.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) 3) |
| ✓ | 0.1b | (*.f64 3 (+.f64 (-.f64 (*.f64 3 (*.f64 x x)) (*.f64 x 4)) 1)) |
Compiled 265 to 207 computations (21.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 1 (fma.f64 x 9 12)) |
| ✓ | 0.1b | (fma.f64 x (*.f64 (+.f64 (*.f64 (*.f64 x x) 81) -144) (/.f64 1 (fma.f64 x 9 12))) 3) |
| ✓ | 0.1b | (*.f64 (+.f64 (*.f64 (*.f64 x x) 81) -144) (/.f64 1 (fma.f64 x 9 12))) |
| ✓ | 0.2b | (*.f64 (*.f64 x x) 81) |
Compiled 64 to 44 computations (31.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (/.f64 1 (fma.f64 x 9 12)) |
| 1.0ms | x | @ | inf | (*.f64 (*.f64 x x) 81) |
| 1.0ms | x | @ | 0 | (*.f64 (*.f64 x x) 81) |
| 1.0ms | x | @ | inf | (*.f64 (+.f64 (*.f64 (*.f64 x x) 81) -144) (/.f64 1 (fma.f64 x 9 12))) |
| 1.0ms | x | @ | inf | (/.f64 1 (fma.f64 x 9 12)) |
| 1× | batch-egg-rewrite |
| 602× | log-prod_binary64 |
| 356× | pow2_binary64 |
| 247× | pow1/3_binary64 |
| 247× | expm1-udef_binary64 |
| 247× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 49 |
| 1 | 317 | 49 |
| 2 | 3665 | 49 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 x x) 81) |
(*.f64 (+.f64 (*.f64 (*.f64 x x) 81) -144) (/.f64 1 (fma.f64 x 9 12))) |
(fma.f64 x (*.f64 (+.f64 (*.f64 (*.f64 x x) 81) -144) (/.f64 1 (fma.f64 x 9 12))) 3) |
(/.f64 1 (fma.f64 x 9 12)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 x x) 81))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 81)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 81))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 81))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 81))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) 81))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 81) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 6561) 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 (*.f64 x 9) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) 531441) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 6561))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) 81))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 6) 531441))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 81)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x 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 0 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 x x) 81) (/.f64 1 (fma.f64 x 9 12))) (*.f64 -144 (/.f64 1 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -144 (/.f64 1 (fma.f64 x 9 12))) (*.f64 (*.f64 (*.f64 x x) 81) (/.f64 1 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 x 9 12)) (*.f64 (*.f64 x x) 81)) (*.f64 (/.f64 1 (fma.f64 x 9 12)) -144))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 x 9 12)) -144) (*.f64 (/.f64 1 (fma.f64 x 9 12)) (*.f64 (*.f64 x x) 81)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 x 81) -144)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 81) -144)) 2) (/.f64 (fma.f64 x 9 12) (cbrt.f64 (fma.f64 x (*.f64 x 81) -144))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x (*.f64 x 81) -144)) (/.f64 (fma.f64 x 9 12) (sqrt.f64 (fma.f64 x (*.f64 x 81) -144))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 6) 531441 -2985984) (*.f64 (fma.f64 x 9 12) (-.f64 (fma.f64 (pow.f64 x 4) 6561 20736) (*.f64 (*.f64 x x) -11664))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 4) 6561 -20736) (*.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 x 81) 144)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x (*.f64 x 81) -144)) (neg.f64 (fma.f64 x 9 12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 x 6) 531441 -2985984) 1) (*.f64 (-.f64 (fma.f64 (pow.f64 x 4) 6561 20736) (*.f64 (*.f64 x x) -11664)) (fma.f64 x 9 12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 x 4) 6561 -20736) 1) (*.f64 (fma.f64 x (*.f64 x 81) 144) (fma.f64 x 9 12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 x 6) 531441 -2985984) -1) (*.f64 (-.f64 (fma.f64 (pow.f64 x 4) 6561 20736) (*.f64 (*.f64 x x) -11664)) (neg.f64 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 x 4) 6561 -20736) -1) (*.f64 (fma.f64 x (*.f64 x 81) 144) (neg.f64 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> 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(pow.f64 x 4) 6561 -20736) (/.f64 1 (fma.f64 x 9 12))) (fma.f64 x (*.f64 x 81) 144))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (fma.f64 x (*.f64 x 81) -144)) (neg.f64 (fma.f64 x 9 12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x (*.f64 x 81) -144) -1) (neg.f64 (fma.f64 x 9 12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (fma.f64 x 9 12)) (fma.f64 (pow.f64 x 6) 531441 -2985984)) (-.f64 (fma.f64 (pow.f64 x 4) 6561 20736) (*.f64 (*.f64 x x) -11664)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (fma.f64 x 9 12)) (fma.f64 (pow.f64 x 4) 6561 -20736)) (fma.f64 x (*.f64 x 81) 144))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) 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(fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x 81) -144) 3) (pow.f64 (fma.f64 x 9 12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x 81) -144) 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 (fma.f64 x (*.f64 x 81) -144) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) 81) (/.f64 1 (fma.f64 x 9 12)) (*.f64 -144 (/.f64 1 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -144 (/.f64 1 (fma.f64 x 9 12)) (*.f64 (*.f64 (*.f64 x x) 81) (/.f64 1 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 x 9 12)) (*.f64 (*.f64 x x) 81) (*.f64 (/.f64 1 (fma.f64 x 9 12)) -144))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 x 9 12)) -144 (*.f64 (/.f64 1 (fma.f64 x 9 12)) (*.f64 (*.f64 x x) 81))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (*.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))) 1) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3)) (cbrt.f64 (pow.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3) 2)) (cbrt.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3)) (sqrt.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))) 3) 27) (+.f64 (pow.f64 (*.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))) 2) (-.f64 9 (*.f64 (*.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))) 2) 9) (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 x 9 12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 9 12)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 9 12))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 9 12))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 9 12))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x 9 12)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 x 9 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 (/.f64 1 (cbrt.f64 (fma.f64 x 9 12))) (cbrt.f64 (pow.f64 (fma.f64 x 9 12) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x 9 12) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 9 12) -1/2) (pow.f64 (fma.f64 x 9 12) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 12)) -2) (/.f64 1 (cbrt.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 (/.f64 1 (fma.f64 x 9 12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 9 12) -2) 1/2)))) (#(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 (pow.f64 (fma.f64 x 9 12) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 9 12))) 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 (pow.f64 (fma.f64 x 9 12) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 9 12)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (fma.f64 x 9 12))) -1)))) (#(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 (/.f64 1 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (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 (/.f64 1 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 9 12)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x 9 12))) 1)))))) |
| 1× | egg-herbie |
| 818× | fma-def_binary64 |
| 775× | distribute-neg-frac_binary64 |
| 417× | times-frac_binary64 |
| 375× | distribute-rgt-neg-in_binary64 |
| 349× | distribute-lft-neg-in_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 447 |
| 1 | 128 | 433 |
| 2 | 289 | 418 |
| 3 | 741 | 399 |
| 4 | 2177 | 396 |
| 5 | 6119 | 396 |
| 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)))) |
1/12 |
(+.f64 1/12 (*.f64 -1/16 x)) |
(+.f64 1/12 (+.f64 (*.f64 -1/16 x) (*.f64 3/64 (pow.f64 x 2)))) |
(+.f64 1/12 (+.f64 (*.f64 -1/16 x) (+.f64 (*.f64 3/64 (pow.f64 x 2)) (*.f64 -9/256 (pow.f64 x 3))))) |
(/.f64 1/9 x) |
(-.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 4/27 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 16/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x))) (*.f64 4/27 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 16/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x))) (+.f64 (*.f64 4/27 (/.f64 1 (pow.f64 x 2))) (*.f64 64/243 (/.f64 1 (pow.f64 x 4))))) |
(/.f64 1/9 x) |
(-.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 4/27 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 16/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x))) (*.f64 4/27 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 16/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x))) (+.f64 (*.f64 4/27 (/.f64 1 (pow.f64 x 2))) (*.f64 64/243 (/.f64 1 (pow.f64 x 4))))) |
| Outputs |
|---|
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (*.f64 x x)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (*.f64 x x)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (*.f64 x x)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (*.f64 x x)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (*.f64 x x)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (*.f64 x x)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (*.f64 x x)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (*.f64 x x)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (*.f64 x x)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (*.f64 x x)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (*.f64 x x)) |
(*.f64 81 (pow.f64 x 2)) |
(*.f64 81 (*.f64 x 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) |
1/12 |
(+.f64 1/12 (*.f64 -1/16 x)) |
(+.f64 1/12 (*.f64 x -1/16)) |
(fma.f64 x -1/16 1/12) |
(+.f64 1/12 (+.f64 (*.f64 -1/16 x) (*.f64 3/64 (pow.f64 x 2)))) |
(+.f64 1/12 (fma.f64 -1/16 x (*.f64 (*.f64 x x) 3/64))) |
(+.f64 1/12 (fma.f64 x -1/16 (*.f64 (*.f64 x x) 3/64))) |
(fma.f64 x -1/16 (fma.f64 (*.f64 x x) 3/64 1/12)) |
(fma.f64 x (fma.f64 x 3/64 -1/16) 1/12) |
(+.f64 1/12 (+.f64 (*.f64 -1/16 x) (+.f64 (*.f64 3/64 (pow.f64 x 2)) (*.f64 -9/256 (pow.f64 x 3))))) |
(+.f64 1/12 (fma.f64 -1/16 x (fma.f64 3/64 (*.f64 x x) (*.f64 -9/256 (pow.f64 x 3))))) |
(+.f64 1/12 (fma.f64 x -1/16 (fma.f64 (*.f64 x x) 3/64 (*.f64 -9/256 (pow.f64 x 3))))) |
(+.f64 (fma.f64 x -1/16 1/12) (*.f64 (*.f64 x x) (+.f64 3/64 (*.f64 x -9/256)))) |
(fma.f64 x -1/16 (fma.f64 (*.f64 x x) (fma.f64 x -9/256 3/64) 1/12)) |
(fma.f64 x (fma.f64 x (fma.f64 x -9/256 3/64) -1/16) 1/12) |
(/.f64 1/9 x) |
(-.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 4/27 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1/9 x) (/.f64 4/27 (*.f64 x x))) |
(+.f64 (/.f64 1/9 x) (/.f64 -4/27 (*.f64 x x))) |
(-.f64 (+.f64 (*.f64 16/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x))) (*.f64 4/27 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 16/81 (pow.f64 x 3)) (-.f64 (/.f64 1/9 x) (/.f64 4/27 (*.f64 x x)))) |
(+.f64 (/.f64 1/9 x) (-.f64 (/.f64 16/81 (pow.f64 x 3)) (/.f64 4/27 (*.f64 x x)))) |
(+.f64 (/.f64 1/9 x) (+.f64 (/.f64 16/81 (pow.f64 x 3)) (/.f64 -4/27 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 16/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x))) (+.f64 (*.f64 4/27 (/.f64 1 (pow.f64 x 2))) (*.f64 64/243 (/.f64 1 (pow.f64 x 4))))) |
(-.f64 (+.f64 (/.f64 1/9 x) (/.f64 16/81 (pow.f64 x 3))) (+.f64 (/.f64 4/27 (*.f64 x x)) (/.f64 64/243 (pow.f64 x 4)))) |
(+.f64 (/.f64 16/81 (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 1/9 x) (/.f64 4/27 (*.f64 x x))) (/.f64 64/243 (pow.f64 x 4)))) |
(+.f64 (/.f64 1/9 x) (+.f64 (/.f64 16/81 (pow.f64 x 3)) (+.f64 (/.f64 -4/27 (*.f64 x x)) (/.f64 -64/243 (pow.f64 x 4))))) |
(-.f64 (/.f64 1/9 x) (-.f64 (/.f64 4/27 (*.f64 x x)) (-.f64 (/.f64 16/81 (pow.f64 x 3)) (/.f64 64/243 (pow.f64 x 4))))) |
(+.f64 (-.f64 (/.f64 1/9 x) (/.f64 4/27 (*.f64 x x))) (*.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -64/243 x) 16/81))) |
(/.f64 1/9 x) |
(-.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 4/27 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1/9 x) (/.f64 4/27 (*.f64 x x))) |
(+.f64 (/.f64 1/9 x) (/.f64 -4/27 (*.f64 x x))) |
(-.f64 (+.f64 (*.f64 16/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x))) (*.f64 4/27 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 16/81 (pow.f64 x 3)) (-.f64 (/.f64 1/9 x) (/.f64 4/27 (*.f64 x x)))) |
(+.f64 (/.f64 1/9 x) (-.f64 (/.f64 16/81 (pow.f64 x 3)) (/.f64 4/27 (*.f64 x x)))) |
(+.f64 (/.f64 1/9 x) (+.f64 (/.f64 16/81 (pow.f64 x 3)) (/.f64 -4/27 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 16/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x))) (+.f64 (*.f64 4/27 (/.f64 1 (pow.f64 x 2))) (*.f64 64/243 (/.f64 1 (pow.f64 x 4))))) |
(-.f64 (+.f64 (/.f64 1/9 x) (/.f64 16/81 (pow.f64 x 3))) (+.f64 (/.f64 4/27 (*.f64 x x)) (/.f64 64/243 (pow.f64 x 4)))) |
(+.f64 (/.f64 16/81 (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 1/9 x) (/.f64 4/27 (*.f64 x x))) (/.f64 64/243 (pow.f64 x 4)))) |
(+.f64 (/.f64 1/9 x) (+.f64 (/.f64 16/81 (pow.f64 x 3)) (+.f64 (/.f64 -4/27 (*.f64 x x)) (/.f64 -64/243 (pow.f64 x 4))))) |
(-.f64 (/.f64 1/9 x) (-.f64 (/.f64 4/27 (*.f64 x x)) (-.f64 (/.f64 16/81 (pow.f64 x 3)) (/.f64 64/243 (pow.f64 x 4))))) |
(+.f64 (-.f64 (/.f64 1/9 x) (/.f64 4/27 (*.f64 x x))) (*.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -64/243 x) 16/81))) |
Compiled 6 to 4 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 9 (*.f64 x x)) 3) |
| ✓ | 0.2b | (*.f64 9 (*.f64 x x)) |
Compiled 19 to 10 computations (47.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 9 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (*.f64 9 (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (*.f64 9 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 9 (*.f64 x x)) 3) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 9 (*.f64 x x)) 3) |
| 1× | batch-egg-rewrite |
| 700× | pow1_binary64 |
| 654× | add-log-exp_binary64 |
| 654× | log1p-expm1-u_binary64 |
| 654× | expm1-log1p-u_binary64 |
| 642× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 15 |
| 1 | 152 | 15 |
| 2 | 1804 | 15 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 9 (*.f64 x x)) |
(+.f64 (*.f64 9 (*.f64 x x)) 3) |
| 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 (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 pow.f64 (*.f64 729 (pow.f64 (*.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 81 (pow.f64 x 4)))))) (#(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 (*.f64 729 (pow.f64 (*.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)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (*.f64 9 x) x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 81 (pow.f64 x 4)) (fma.f64 9 (*.f64 x x) -3)) (/.f64 9 (fma.f64 9 (*.f64 x x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 9 x) x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 9 x) x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 9 x) x 3)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 9 x) x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 9 x) x 3)) 2) (cbrt.f64 (fma.f64 (*.f64 9 x) x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 9 x) x 3)) (sqrt.f64 (fma.f64 (*.f64 9 x) x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 27 (*.f64 729 (pow.f64 (*.f64 x x) 3))) (/.f64 1 (+.f64 (*.f64 81 (pow.f64 x 4)) (-.f64 9 (*.f64 (*.f64 x x) 27)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 81 (pow.f64 x 4)) -9) (/.f64 1 (fma.f64 9 (*.f64 x x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 81 (pow.f64 x 4)) (-.f64 9 (*.f64 (*.f64 x x) 27))) (+.f64 27 (*.f64 729 (pow.f64 (*.f64 x x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 9 (*.f64 x x) -3) (+.f64 (*.f64 81 (pow.f64 x 4)) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 27 (*.f64 729 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 81 (pow.f64 x 4)) (-.f64 9 (*.f64 (*.f64 x x) 27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 27 (*.f64 729 (pow.f64 (*.f64 x x) 3))) (+.f64 9 (-.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 (*.f64 x x) 27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 81 (pow.f64 x 4)) -9) (fma.f64 9 (*.f64 x x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 27 (*.f64 729 (pow.f64 (*.f64 x x) 3)))) (neg.f64 (+.f64 (*.f64 81 (pow.f64 x 4)) (-.f64 9 (*.f64 (*.f64 x x) 27)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 81 (pow.f64 x 4)) -9)) (neg.f64 (fma.f64 9 (*.f64 x x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (*.f64 81 (pow.f64 x 4))) (-.f64 3 (*.f64 9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 9 x) x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 9 x) x 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 9 x) x 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 9 x) x 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 9 x) x 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 9 x) x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 9 x) x 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 9 x) x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 9 x) x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 9 x) x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 (*.f64 x x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 9 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 9 (*.f64 x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 81 (pow.f64 x 4))) (cbrt.f64 (*.f64 9 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 3) (*.f64 x 3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9 x) x 3))))) |
| 1× | egg-herbie |
| 1082× | sqr-pow_binary64 |
| 560× | cube-prod_binary64 |
| 551× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
| 451× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 189 |
| 1 | 15 | 171 |
| 2 | 28 | 171 |
| 3 | 53 | 171 |
| 4 | 118 | 171 |
| 5 | 352 | 171 |
| 6 | 1280 | 171 |
| 7 | 2185 | 171 |
| 8 | 2349 | 171 |
| 9 | 2532 | 171 |
| 10 | 2740 | 171 |
| 11 | 3038 | 171 |
| 12 | 3433 | 171 |
| 13 | 3912 | 171 |
| 14 | 4478 | 171 |
| 15 | 5166 | 171 |
| 16 | 6001 | 171 |
| 17 | 6395 | 171 |
| 18 | 6683 | 171 |
| 19 | 6957 | 171 |
| 20 | 7027 | 171 |
| 21 | 7061 | 171 |
| 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)) |
3 |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(*.f64 9 (pow.f64 x 2)) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(*.f64 9 (pow.f64 x 2)) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
| Outputs |
|---|
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
3 |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 9 (*.f64 x x)) 3) |
(fma.f64 9 (*.f64 x x) 3) |
(fma.f64 x (*.f64 9 x) 3) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 9 (*.f64 x x)) 3) |
(fma.f64 9 (*.f64 x x) 3) |
(fma.f64 x (*.f64 9 x) 3) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 9 (*.f64 x x)) 3) |
(fma.f64 9 (*.f64 x x) 3) |
(fma.f64 x (*.f64 9 x) 3) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 9 (*.f64 x x)) 3) |
(fma.f64 9 (*.f64 x x) 3) |
(fma.f64 x (*.f64 9 x) 3) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 9 (*.f64 x x)) 3) |
(fma.f64 9 (*.f64 x x) 3) |
(fma.f64 x (*.f64 9 x) 3) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 9 (*.f64 x x)) 3) |
(fma.f64 9 (*.f64 x x) 3) |
(fma.f64 x (*.f64 9 x) 3) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 9 (*.f64 x x)) 3) |
(fma.f64 9 (*.f64 x x) 3) |
(fma.f64 x (*.f64 9 x) 3) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 9 (*.f64 x x)) 3) |
(fma.f64 9 (*.f64 x x) 3) |
(fma.f64 x (*.f64 9 x) 3) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 9 (*.f64 x x)) 3) |
(fma.f64 9 (*.f64 x x) 3) |
(fma.f64 x (*.f64 9 x) 3) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 (*.f64 x (*.f64 3 x)) 3 3) |
| ✓ | 0.2b | (*.f64 x (*.f64 3 x)) |
Compiled 19 to 13 computations (31.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (fma.f64 (*.f64 x (*.f64 3 x)) 3 3) |
| 1.0ms | x | @ | inf | (fma.f64 (*.f64 x (*.f64 3 x)) 3 3) |
| 0.0ms | x | @ | 0 | (*.f64 x (*.f64 3 x)) |
| 0.0ms | x | @ | -inf | (*.f64 x (*.f64 3 x)) |
| 0.0ms | x | @ | -inf | (fma.f64 (*.f64 x (*.f64 3 x)) 3 3) |
| 1× | batch-egg-rewrite |
| 551× | pow1_binary64 |
| 508× | add-log-exp_binary64 |
| 508× | log1p-expm1-u_binary64 |
| 508× | expm1-log1p-u_binary64 |
| 498× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 1 | 122 | 17 |
| 2 | 1401 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (*.f64 3 x)) |
(fma.f64 (*.f64 x (*.f64 3 x)) 3 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.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)) 3) 1/3)))) (#(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 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 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 +.f64 3 (pow.f64 (*.f64 x 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (*.f64 x 3) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (*.f64 x 3) 2) 1) 3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 3 (pow.f64 (*.f64 x 3) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 3 (pow.f64 (*.f64 x 3) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 3 (pow.f64 (*.f64 x 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 3 (pow.f64 (*.f64 x 3) 2))) (pow.f64 (cbrt.f64 (+.f64 3 (pow.f64 (*.f64 x 3) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 3 (pow.f64 (*.f64 x 3) 2))) 2) (cbrt.f64 (+.f64 3 (pow.f64 (*.f64 x 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 3 (pow.f64 (*.f64 x 3) 2))) (sqrt.f64 (+.f64 3 (pow.f64 (*.f64 x 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x (*.f64 x 3)) 1) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 x 3) 2) 3) 27) (+.f64 (*.f64 (pow.f64 (*.f64 x 3) 2) (pow.f64 (*.f64 x 3) 2)) (-.f64 9 (*.f64 (pow.f64 (*.f64 x 3) 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x 3) 2) (pow.f64 (*.f64 x 3) 2)) 9) (-.f64 (pow.f64 (*.f64 x 3) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 3 (pow.f64 (*.f64 x 3) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 3 (pow.f64 (*.f64 x 3) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 3 (pow.f64 (*.f64 x 3) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 3 (pow.f64 (*.f64 x 3) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 3 (pow.f64 (*.f64 x 3) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 3 (pow.f64 (*.f64 x 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 3 (pow.f64 (*.f64 x 3) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 3 (pow.f64 (*.f64 x 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 3 (pow.f64 (*.f64 x 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 3 (pow.f64 (*.f64 x 3) 2)))))))) |
| 1× | egg-herbie |
| 2020× | unswap-sqr_binary64 |
| 1080× | sqr-pow_binary64 |
| 641× | fabs-mul_binary64 |
| 612× | pow-sqr_binary64 |
| 610× | cube-prod_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 189 |
| 1 | 17 | 171 |
| 2 | 34 | 171 |
| 3 | 69 | 171 |
| 4 | 169 | 171 |
| 5 | 513 | 171 |
| 6 | 713 | 171 |
| 7 | 1127 | 171 |
| 8 | 1227 | 171 |
| 9 | 1361 | 171 |
| 10 | 1533 | 171 |
| 11 | 1778 | 171 |
| 12 | 2093 | 171 |
| 13 | 2463 | 171 |
| 14 | 2920 | 171 |
| 15 | 3503 | 171 |
| 16 | 4217 | 171 |
| 17 | 5077 | 171 |
| 18 | 5501 | 171 |
| 19 | 5815 | 171 |
| 20 | 6125 | 171 |
| 21 | 6205 | 171 |
| 22 | 6241 | 171 |
| 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 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(*.f64 9 (pow.f64 x 2)) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(*.f64 9 (pow.f64 x 2)) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
| 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 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 3 (*.f64 (*.f64 x x) 9)) |
(fma.f64 (*.f64 x x) 9 3) |
(fma.f64 x (*.f64 x 9) 3) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 3 (*.f64 (*.f64 x x) 9)) |
(fma.f64 (*.f64 x x) 9 3) |
(fma.f64 x (*.f64 x 9) 3) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 3 (*.f64 (*.f64 x x) 9)) |
(fma.f64 (*.f64 x x) 9 3) |
(fma.f64 x (*.f64 x 9) 3) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 9) |
(*.f64 x (*.f64 x 9)) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 3 (*.f64 (*.f64 x x) 9)) |
(fma.f64 (*.f64 x x) 9 3) |
(fma.f64 x (*.f64 x 9) 3) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 3 (*.f64 (*.f64 x x) 9)) |
(fma.f64 (*.f64 x x) 9 3) |
(fma.f64 x (*.f64 x 9) 3) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 3 (*.f64 (*.f64 x x) 9)) |
(fma.f64 (*.f64 x x) 9 3) |
(fma.f64 x (*.f64 x 9) 3) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 9) |
(*.f64 x (*.f64 x 9)) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 3 (*.f64 (*.f64 x x) 9)) |
(fma.f64 (*.f64 x x) 9 3) |
(fma.f64 x (*.f64 x 9) 3) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 3 (*.f64 (*.f64 x x) 9)) |
(fma.f64 (*.f64 x x) 9 3) |
(fma.f64 x (*.f64 x 9) 3) |
(+.f64 3 (*.f64 9 (pow.f64 x 2))) |
(+.f64 3 (*.f64 (*.f64 x x) 9)) |
(fma.f64 (*.f64 x x) 9 3) |
(fma.f64 x (*.f64 x 9) 3) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (*.f64 3 x) (+.f64 (*.f64 27 (pow.f64 x 3)) -64)) |
| 0.2b | (*.f64 9 (*.f64 x x)) | |
| ✓ | 0.2b | (*.f64 27 (pow.f64 x 3)) |
| ✓ | 8.2b | (/.f64 (*.f64 (*.f64 3 x) (+.f64 (*.f64 27 (pow.f64 x 3)) -64)) (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 16 (*.f64 x 12)))) |
Compiled 112 to 82 computations (26.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | x | @ | inf | (*.f64 (*.f64 3 x) (+.f64 (*.f64 27 (pow.f64 x 3)) -64)) |
| 6.0ms | x | @ | inf | (*.f64 27 (pow.f64 x 3)) |
| 2.0ms | x | @ | 0 | (/.f64 (*.f64 (*.f64 3 x) (+.f64 (*.f64 27 (pow.f64 x 3)) -64)) (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 16 (*.f64 x 12)))) |
| 2.0ms | x | @ | inf | (/.f64 (*.f64 (*.f64 3 x) (+.f64 (*.f64 27 (pow.f64 x 3)) -64)) (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 16 (*.f64 x 12)))) |
| 1.0ms | x | @ | -inf | (/.f64 (*.f64 (*.f64 3 x) (+.f64 (*.f64 27 (pow.f64 x 3)) -64)) (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 16 (*.f64 x 12)))) |
| 1× | batch-egg-rewrite |
| 787× | fma-def_binary64 |
| 520× | fma-neg_binary64 |
| 338× | expm1-udef_binary64 |
| 338× | log1p-udef_binary64 |
| 208× | add-sqr-sqrt_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 51 |
| 1 | 437 | 47 |
| 2 | 5934 | 43 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 3 x) (+.f64 (*.f64 27 (pow.f64 x 3)) -64)) (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 16 (*.f64 x 12)))) |
(*.f64 27 (pow.f64 x 3)) |
(*.f64 (*.f64 3 x) (+.f64 (*.f64 27 (pow.f64 x 3)) -64)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 (*.f64 x -192)) (fma.f64 x 12 (fma.f64 x (*.f64 x 9) 16))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (/.f64 (*.f64 x (fma.f64 27 (pow.f64 x 3) -64)) (fma.f64 x 12 (fma.f64 x (*.f64 x 9) 16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 (*.f64 x (fma.f64 27 (pow.f64 x 3) -64)) (/.f64 1 (fma.f64 x 12 (fma.f64 x (*.f64 x 9) 16)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 x) (/.f64 1 (/.f64 (fma.f64 x 12 (fma.f64 x (*.f64 x 9) 16)) (fma.f64 27 (pow.f64 x 3) -64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 x) (*.f64 (fma.f64 27 (pow.f64 x 3) -64) (/.f64 1 (fma.f64 x 12 (fma.f64 x (*.f64 x 9) 16)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 27 (pow.f64 x 3) -64) (*.f64 (*.f64 3 x) (/.f64 1 (fma.f64 x 12 (fma.f64 x (*.f64 x 9) 16)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 4) 81 (*.f64 x -192)) (/.f64 1 (fma.f64 x 12 (fma.f64 x (*.f64 x 9) 16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 (*.f64 x -192)) (fma.f64 x 12 (fma.f64 x (*.f64 x 9) 16))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 (pow.f64 x 4) 81 (*.f64 x -192)) (fma.f64 x 12 (fma.f64 x (*.f64 x 9) 16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 (*.f64 x -192)) (fma.f64 x 12 (fma.f64 x (*.f64 x 9) 16)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 (*.f64 x -192)) (fma.f64 x 12 (fma.f64 x (*.f64 x 9) 16)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 (*.f64 x -192)) (fma.f64 x 12 (fma.f64 x (*.f64 x 9) 16)))) 2) (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 (*.f64 x -192)) (fma.f64 x 12 (fma.f64 x (*.f64 x 9) 16)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 (*.f64 x -192))) 2) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 (*.f64 x -192))) (/.f64 1 (fma.f64 x 12 (fma.f64 x (*.f64 x 9) 16)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 (*.f64 x -192)) (fma.f64 x 12 (fma.f64 x (*.f64 x 9) 16)))) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 (*.f64 x -192)) (fma.f64 x 12 (fma.f64 x (*.f64 x 9) 16)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 (*.f64 x -192))) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 (*.f64 x -192))) (/.f64 1 (fma.f64 x 12 (fma.f64 x (*.f64 x 9) 16)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 (pow.f64 x 4) 81 (*.f64 x -192))) (/.f64 1 (neg.f64 (fma.f64 x 12 (fma.f64 x (*.f64 x 9) 16)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 12 (fma.f64 x (*.f64 x 9) 16))) (fma.f64 (pow.f64 x 4) 81 (*.f64 x -192)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 3 x) 1) (/.f64 (fma.f64 27 (pow.f64 x 3) -64) (fma.f64 x 12 (fma.f64 x (*.f64 x 9) 16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 27 (pow.f64 x 3) -64) 1) (/.f64 (*.f64 3 x) (fma.f64 x 12 (fma.f64 x (*.f64 x 9) 16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 3 x) (fma.f64 x 12 (fma.f64 x (*.f64 x 9) 16))) (fma.f64 27 (pow.f64 x 3) -64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 (*.f64 x -192))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 (*.f64 x -192))) (fma.f64 x 12 (fma.f64 x (*.f64 x 9) 16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 (*.f64 x -192))) 1) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 (*.f64 x -192))) (fma.f64 x 12 (fma.f64 x (*.f64 x 9) 16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3 (pow.f64 (cbrt.f64 (fma.f64 x 12 (fma.f64 x (*.f64 x 9) 16))) 2)) (/.f64 (*.f64 x (fma.f64 27 (pow.f64 x 3) -64)) (cbrt.f64 (fma.f64 x 12 (fma.f64 x (*.f64 x 9) 16)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 3 x) (pow.f64 (cbrt.f64 (fma.f64 x 12 (fma.f64 x (*.f64 x 9) 16))) 2)) (/.f64 (fma.f64 27 (pow.f64 x 3) -64) (cbrt.f64 (fma.f64 x 12 (fma.f64 x (*.f64 x 9) 16)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 27 (pow.f64 x 3) -64) (pow.f64 (cbrt.f64 (fma.f64 x 12 (fma.f64 x (*.f64 x 9) 16))) 2)) (/.f64 (*.f64 3 x) (cbrt.f64 (fma.f64 x 12 (fma.f64 x (*.f64 x 9) 16)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 12 (fma.f64 x (*.f64 x 9) 16))) 2)) (/.f64 (fma.f64 (pow.f64 x 4) 81 (*.f64 x -192)) (cbrt.f64 (fma.f64 x 12 (fma.f64 x (*.f64 x 9) 16)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 (*.f64 x -192))) 2) (pow.f64 (cbrt.f64 (fma.f64 x 12 (fma.f64 x (*.f64 x 9) 16))) 2)) (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 (*.f64 x -192)) (fma.f64 x 12 (fma.f64 x (*.f64 x 9) 16)))))))) 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| 1× | egg-herbie |
| 1057× | sqr-pow_binary64 |
| 506× | pow-sqr_binary64 |
| 493× | cube-prod_binary64 |
| 435× | associate-*l*_binary64 |
| 399× | *-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 234 |
| 1 | 31 | 234 |
| 2 | 57 | 225 |
| 3 | 130 | 207 |
| 4 | 410 | 207 |
| 5 | 1520 | 207 |
| 6 | 2671 | 207 |
| 7 | 2953 | 207 |
| 8 | 3126 | 207 |
| 9 | 3325 | 207 |
| 10 | 3596 | 207 |
| 11 | 3955 | 207 |
| 12 | 4404 | 207 |
| 13 | 4935 | 207 |
| 14 | 5559 | 207 |
| 15 | 6310 | 207 |
| 16 | 6618 | 207 |
| 17 | 6844 | 207 |
| 18 | 7038 | 207 |
| 19 | 7096 | 207 |
| 20 | 7120 | 207 |
| 21 | 7954 | 207 |
| 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))) |
(*.f64 -192 x) |
(+.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 -192 x)) |
(+.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 -192 x)) |
(+.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 -192 x)) |
(*.f64 81 (pow.f64 x 4)) |
(+.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 -192 x)) |
(+.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 -192 x)) |
(+.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 -192 x)) |
(*.f64 81 (pow.f64 x 4)) |
(+.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 -192 x)) |
(+.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 -192 x)) |
(+.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 -192 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)) |
(*.f64 -192 x) |
(*.f64 x -192) |
(+.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 -192 x)) |
(fma.f64 81 (pow.f64 x 4) (*.f64 x -192)) |
(fma.f64 x -192 (*.f64 81 (pow.f64 x 4))) |
(+.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 -192 x)) |
(fma.f64 81 (pow.f64 x 4) (*.f64 x -192)) |
(fma.f64 x -192 (*.f64 81 (pow.f64 x 4))) |
(+.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 -192 x)) |
(fma.f64 81 (pow.f64 x 4) (*.f64 x -192)) |
(fma.f64 x -192 (*.f64 81 (pow.f64 x 4))) |
(*.f64 81 (pow.f64 x 4)) |
(+.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 -192 x)) |
(fma.f64 81 (pow.f64 x 4) (*.f64 x -192)) |
(fma.f64 x -192 (*.f64 81 (pow.f64 x 4))) |
(+.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 -192 x)) |
(fma.f64 81 (pow.f64 x 4) (*.f64 x -192)) |
(fma.f64 x -192 (*.f64 81 (pow.f64 x 4))) |
(+.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 -192 x)) |
(fma.f64 81 (pow.f64 x 4) (*.f64 x -192)) |
(fma.f64 x -192 (*.f64 81 (pow.f64 x 4))) |
(*.f64 81 (pow.f64 x 4)) |
(+.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 -192 x)) |
(fma.f64 81 (pow.f64 x 4) (*.f64 x -192)) |
(fma.f64 x -192 (*.f64 81 (pow.f64 x 4))) |
(+.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 -192 x)) |
(fma.f64 81 (pow.f64 x 4) (*.f64 x -192)) |
(fma.f64 x -192 (*.f64 81 (pow.f64 x 4))) |
(+.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 -192 x)) |
(fma.f64 81 (pow.f64 x 4) (*.f64 x -192)) |
(fma.f64 x -192 (*.f64 81 (pow.f64 x 4))) |
Compiled 8340 to 6371 computations (23.6% saved)
14 alts after pruning (5 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 399 | 2 | 401 |
| Fresh | 0 | 3 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 9 | 10 |
| Total | 401 | 14 | 415 |
| Status | Error | Program |
|---|---|---|
| ✓ | 1.3b | (+.f64 (*.f64 9 (*.f64 x x)) 3) |
| ✓ | 18.9b | (+.f64 (*.f64 -12 x) 3) |
| 19.2b | 3 | |
| ✓ | 0.1b | (+.f64 (*.f64 3 (*.f64 x (-.f64 (*.f64 3 x) 4))) 3) |
| ✓ | 43.2b | (*.f64 x (*.f64 x 9)) |
| ✓ | 1.3b | (+.f64 (*.f64 3 (*.f64 x (*.f64 x 3))) 3) |
| ✓ | 61.4b | (*.f64 -12 x) |
| ✓ | 1.3b | (fma.f64 (*.f64 x (*.f64 3 x)) 3 3) |
| 34.3b | (*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 x 4)) 1)) | |
| 44.5b | (fma.f64 x (*.f64 (+.f64 (*.f64 (*.f64 x x) 81) -144) (/.f64 1/9 x)) 3) | |
| 22.9b | (fma.f64 (*.f64 3 (sqrt.f64 (*.f64 x (fma.f64 x 3 -4)))) (sqrt.f64 (*.f64 x (fma.f64 x 3 -4))) 3) | |
| ✓ | 0.1b | (+.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) 3) |
| ✓ | 0.1b | (*.f64 3 (+.f64 (-.f64 (*.f64 3 (*.f64 x x)) (*.f64 x 4)) 1)) |
| 8.8b | (+.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 81) (*.f64 x -192)) (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 16 (*.f64 x 12)))) 3) |
Compiled 158 to 123 computations (22.2% saved)
| Inputs |
|---|
3 |
3 |
3 |
(*.f64 -12 x) |
(+.f64 (*.f64 -12 x) 3) |
(+.f64 (*.f64 -12 x) 3) |
(*.f64 x (*.f64 x 9)) |
(+.f64 (*.f64 9 (*.f64 x x)) 3) |
(+.f64 (*.f64 x (*.f64 x 9)) 3) |
(+.f64 (*.f64 3 (*.f64 x (*.f64 x 3))) 3) |
(+.f64 (*.f64 3 (*.f64 x (-.f64 (*.f64 3 x) 4))) 3) |
(*.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 (+.f64 (*.f64 (*.f64 3 x) (*.f64 3 x)) (*.f64 (*.f64 3 x) -4)) 3) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(fma.f64 (*.f64 x (*.f64 3 x)) 3 3) |
(fma.f64 x (-.f64 (*.f64 9 x) 12) 3) |
(+.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) 3) |
(fma.f64 x (*.f64 (+.f64 (*.f64 (*.f64 x x) 81) -144) (/.f64 1/9 x)) 3) |
(+.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 81) (*.f64 x -192)) (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 16 (*.f64 x 12)))) 3) |
(+.f64 (/.f64 (*.f64 (*.f64 3 x) (+.f64 (*.f64 27 (pow.f64 x 3)) -64)) (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 16 (*.f64 x 12)))) 3) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(fma.f64 (*.f64 x (fma.f64 x 3 -4)) 3 3) |
(fma.f64 (*.f64 x (fma.f64 x 3 -4)) 3 3) |
(*.f64 3 (+.f64 (-.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 2) (*.f64 x 4)) 1)) |
(*.f64 3 (+.f64 (-.f64 (exp.f64 (log.f64 (*.f64 x (*.f64 x 3)))) (*.f64 x 4)) 1)) |
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 x 4)) 1)) |
(fma.f64 x (*.f64 (+.f64 (*.f64 (*.f64 x x) 81) -144) (/.f64 1 (fma.f64 x 9 12))) 3) |
(*.f64 3 (+.f64 (fma.f64 (*.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x -4)) 1)) |
(fma.f64 x (pow.f64 (sqrt.f64 (fma.f64 x 9 -12)) 2) 3) |
(fma.f64 (*.f64 3 (sqrt.f64 (*.f64 x (fma.f64 x 3 -4)))) (sqrt.f64 (*.f64 x (fma.f64 x 3 -4))) 3) |
| Outputs |
|---|
(fma.f64 x (-.f64 (*.f64 9 x) 12) 3) |
7 calls:
| 16.0ms | (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) |
| 16.0ms | (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) |
| 15.0ms | x |
| 6.0ms | (*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) |
| 5.0ms | (+.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 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 401 to 301 computations (24.9% saved)
| Inputs |
|---|
3 |
3 |
3 |
(*.f64 -12 x) |
(+.f64 (*.f64 -12 x) 3) |
(+.f64 (*.f64 -12 x) 3) |
(*.f64 x (*.f64 x 9)) |
(+.f64 (*.f64 9 (*.f64 x x)) 3) |
(+.f64 (*.f64 x (*.f64 x 9)) 3) |
(+.f64 (*.f64 3 (*.f64 x (*.f64 x 3))) 3) |
(+.f64 (*.f64 3 (*.f64 x (-.f64 (*.f64 3 x) 4))) 3) |
(*.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 (+.f64 (*.f64 (*.f64 3 x) (*.f64 3 x)) (*.f64 (*.f64 3 x) -4)) 3) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(fma.f64 (*.f64 x (*.f64 3 x)) 3 3) |
| Outputs |
|---|
(+.f64 (*.f64 3 (*.f64 x (-.f64 (*.f64 3 x) 4))) 3) |
7 calls:
| 10.0ms | (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) |
| 10.0ms | (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) |
| 9.0ms | 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 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 189 to 143 computations (24.3% saved)
| Inputs |
|---|
3 |
3 |
3 |
(*.f64 -12 x) |
(+.f64 (*.f64 -12 x) 3) |
(+.f64 (*.f64 -12 x) 3) |
(*.f64 x (*.f64 x 9)) |
(+.f64 (*.f64 9 (*.f64 x x)) 3) |
(+.f64 (*.f64 x (*.f64 x 9)) 3) |
(+.f64 (*.f64 3 (*.f64 x (*.f64 x 3))) 3) |
| Outputs |
|---|
(+.f64 (*.f64 9 (*.f64 x x)) 3) |
1 calls:
| 7.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.3b | 1 | x |
Compiled 47 to 35 computations (25.5% saved)
| Inputs |
|---|
3 |
3 |
3 |
(*.f64 -12 x) |
(+.f64 (*.f64 -12 x) 3) |
(+.f64 (*.f64 -12 x) 3) |
(*.f64 x (*.f64 x 9)) |
| Outputs |
|---|
(*.f64 x (*.f64 x 9)) |
(+.f64 (*.f64 -12 x) 3) |
(*.f64 x (*.f64 x 9)) |
1 calls:
| 14.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.0b | 3 | x |
Compiled 24 to 18 computations (25% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 48.0ms | 7.357464671497419e-7 | 20570835486.31887 |
| 17.0ms | -140.1741965090909 | -0.49051423380318626 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
3 |
3 |
3 |
(*.f64 -12 x) |
(+.f64 (*.f64 -12 x) 3) |
(+.f64 (*.f64 -12 x) 3) |
| Outputs |
|---|
(+.f64 (*.f64 -12 x) 3) |
1 calls:
| 5.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 18.9b | 1 | x |
Compiled 19 to 15 computations (21.1% saved)
Total -42.4b remaining (-221.4%)
Threshold costs -42.4b (-221.4%)
| Inputs |
|---|
3 |
3 |
3 |
(*.f64 -12 x) |
| Outputs |
|---|
3 |
1 calls:
| 49.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 19.2b | 1 | x |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
| 7× | *-commutative_binary64 |
| 5× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 78 |
| 1 | 44 | 78 |
| 2 | 46 | 78 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 x (-.f64 (*.f64 9 x) 12) 3) |
(+.f64 (*.f64 3 (*.f64 x (-.f64 (*.f64 3 x) 4))) 3) |
(+.f64 (*.f64 9 (*.f64 x x)) 3) |
(if (<=.f64 x -2465970543614455/17592186044416) (*.f64 x (*.f64 x 9)) (if (<=.f64 x 6948928912715387/9444732965739290427392) (+.f64 (*.f64 -12 x) 3) (*.f64 x (*.f64 x 9)))) |
(+.f64 (*.f64 -12 x) 3) |
3 |
| Outputs |
|---|
(fma.f64 x (-.f64 (*.f64 9 x) 12) 3) |
(fma.f64 x (+.f64 (*.f64 x 9) -12) 3) |
(+.f64 (*.f64 3 (*.f64 x (-.f64 (*.f64 3 x) 4))) 3) |
(+.f64 3 (*.f64 3 (*.f64 x (+.f64 (*.f64 x 3) -4)))) |
(+.f64 (*.f64 9 (*.f64 x x)) 3) |
(+.f64 3 (*.f64 9 (*.f64 x x))) |
(if (<=.f64 x -2465970543614455/17592186044416) (*.f64 x (*.f64 x 9)) (if (<=.f64 x 6948928912715387/9444732965739290427392) (+.f64 (*.f64 -12 x) 3) (*.f64 x (*.f64 x 9)))) |
(if (<=.f64 x -2465970543614455/17592186044416) (*.f64 x (*.f64 x 9)) (if (<=.f64 x 6948928912715387/9444732965739290427392) (+.f64 3 (*.f64 x -12)) (*.f64 x (*.f64 x 9)))) |
(+.f64 (*.f64 -12 x) 3) |
(+.f64 3 (*.f64 x -12)) |
3 |
Compiled 61 to 47 computations (23% 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 56 to 42 computations (25% saved)
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