Time bar (total: 3.9s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 25% | 75% | 0% | 3 |
| 62.5% | 37.5% | 0% | 4 |
| 68.7% | 18.7% | 12.5% | 5 |
| 71.8% | 9.4% | 18.8% | 6 |
| 73.4% | 4.7% | 21.9% | 7 |
| 74.2% | 2.3% | 23.5% | 8 |
| 74.6% | 1.2% | 24.3% | 9 |
| 75% | 0.6% | 24.5% | 10 |
| 75.1% | 0.3% | 24.6% | 11 |
| 75.1% | 0.1% | 24.7% | 12 |
Compiled 8 to 6 computations (25% saved)
| 1.1s | 2780× | body | 1024 | valid |
| 608.0ms | 3792× | body | 256 | valid |
| 320.0ms | 1411× | body | 512 | valid |
| 125.0ms | 273× | body | 2048 | valid |
| 2.0ms | 6× | body | 256 | invalid |
| 2× | egg-herbie |
| 95× | fma-def_binary64 |
| 80× | fma-neg_binary64 |
| 32× | distribute-rgt-in_binary64 |
| 28× | cancel-sign-sub-inv_binary64 |
| 26× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 6 |
| 1 | 15 | 6 |
| 2 | 18 | 6 |
| 3 | 22 | 6 |
| 4 | 30 | 6 |
| 5 | 40 | 6 |
| 6 | 59 | 6 |
| 7 | 100 | 6 |
| 8 | 145 | 6 |
| 9 | 223 | 6 |
| 10 | 352 | 6 |
| 11 | 511 | 6 |
| 12 | 583 | 6 |
| 13 | 619 | 6 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) 1) x) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
| 95× | fma-def_binary64 |
| 80× | fma-neg_binary64 |
| 32× | distribute-rgt-in_binary64 |
| 28× | cancel-sign-sub-inv_binary64 |
| 26× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 6 |
| 1 | 15 | 6 |
| 2 | 18 | 6 |
| 3 | 22 | 6 |
| 4 | 30 | 6 |
| 5 | 40 | 6 |
| 6 | 59 | 6 |
| 7 | 100 | 6 |
| 8 | 145 | 6 |
| 9 | 223 | 6 |
| 10 | 352 | 6 |
| 11 | 511 | 6 |
| 12 | 583 | 6 |
| 13 | 619 | 6 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) 1) x) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
Compiled 11 to 7 computations (36.4% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (/.f64 (expm1.f64 x) x) |
Compiled 5 to 3 computations (40% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (expm1.f64 x) x) |
Compiled 8 to 3 computations (62.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (expm1.f64 x) x) |
| 1.0ms | x | @ | inf | (/.f64 (expm1.f64 x) x) |
| 1.0ms | x | @ | 0 | (/.f64 (expm1.f64 x) x) |
| 1× | batch-egg-rewrite |
| 449× | pow1_binary64 |
| 430× | add-sqr-sqrt_binary64 |
| 424× | *-un-lft-identity_binary64 |
| 417× | add-log-exp_binary64 |
| 417× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 6 |
| 1 | 83 | 6 |
| 2 | 1104 | 6 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (expm1.f64 x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 x) x) (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 x) (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (expm1.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (expm1.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 x) x))))))) |
| 1× | egg-herbie |
| 688× | times-frac_binary64 |
| 636× | associate-/l/_binary64 |
| 536× | unswap-sqr_binary64 |
| 495× | associate-*l*_binary64 |
| 448× | fma-def_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 87 |
| 1 | 60 | 85 |
| 2 | 120 | 85 |
| 3 | 325 | 79 |
| 4 | 816 | 76 |
| 5 | 2522 | 76 |
| 6 | 4510 | 76 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 1/2 x) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3))))) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 1/2 x) 1) |
(fma.f64 1/2 x 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1)) |
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) 1)) |
(fma.f64 x (fma.f64 x 1/6 1/2) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3))))) |
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 1/24 (pow.f64 x 3)))) |
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))) |
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) (fma.f64 1/24 (pow.f64 x 3) 1))) |
(fma.f64 x (fma.f64 x 1/6 1/2) (fma.f64 1/24 (pow.f64 x 3) 1)) |
(fma.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2) 1) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
Compiled 345 to 161 computations (53.3% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 37 | 3 | 40 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 37 | 4 | 41 |
| Status | Error | Program |
|---|---|---|
| ▶ | 20.3b | (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
| ▶ | 20.5b | (+.f64 (*.f64 1/2 x) 1) |
| 20.3b | 1 | |
| ✓ | 0.0b | (/.f64 (expm1.f64 x) x) |
Compiled 25 to 20 computations (20% saved)
Compiled 12 to 9 computations (25% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
| ✓ | 0.2b | (*.f64 1/6 (pow.f64 x 2)) |
Compiled 35 to 28 computations (20% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (*.f64 1/6 (pow.f64 x 2)) |
| 1.0ms | x | @ | inf | (*.f64 1/6 (pow.f64 x 2)) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
| 0.0ms | x | @ | -inf | (*.f64 1/6 (pow.f64 x 2)) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
| 1× | batch-egg-rewrite |
| 466× | fma-def_binary64 |
| 463× | log-prod_binary64 |
| 354× | exp-prod_binary64 |
| 300× | pow-prod-down_binary64 |
| 278× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 19 |
| 1 | 243 | 19 |
| 2 | 2989 | 19 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/6 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 1/6 (*.f64 x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 1/36) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) 1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) 2)) (cbrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))) (sqrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 6) 1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 6) 1/216)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/6 (*.f64 x x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/6 (*.f64 x x) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) 1)) (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 1/6 (*.f64 x x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/6))) (hypot.f64 1 (*.f64 x (sqrt.f64 1/6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 6) 1/216 1) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) 1/36 1) (*.f64 1/6 (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 4) 1/36 -1) (/.f64 1 (fma.f64 1/6 (*.f64 x x) -1)) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (fma.f64 x 1/2 (neg.f64 (fma.f64 1/6 (*.f64 x x) 1)))) (/.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2) (fma.f64 x 1/2 (neg.f64 (fma.f64 1/6 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1))) 2) (cbrt.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1))) (sqrt.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 3)) (/.f64 1 (fma.f64 (fma.f64 1/6 (*.f64 x x) 1) (-.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 x 1/2)) (*.f64 (*.f64 x x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2)) (/.f64 1 (fma.f64 x 1/2 (neg.f64 (fma.f64 1/6 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 1/6 (*.f64 x x) 1) (-.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 x 1/2)) (*.f64 (*.f64 x x) 1/4)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x 1/2 (neg.f64 (fma.f64 1/6 (*.f64 x x) 1))) (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 3)) (fma.f64 (fma.f64 1/6 (*.f64 x x) 1) (-.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 x 1/2)) (*.f64 (*.f64 x x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 1/2 (*.f64 x (fma.f64 1/6 (*.f64 x x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2)) (fma.f64 x 1/2 (neg.f64 (fma.f64 1/6 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 3))) (neg.f64 (fma.f64 (fma.f64 1/6 (*.f64 x x) 1) (-.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 x 1/2)) (*.f64 (*.f64 x x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2))) (neg.f64 (fma.f64 x 1/2 (neg.f64 (fma.f64 1/6 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x 1/2 (*.f64 1/6 (*.f64 x x))) 3) 1) (+.f64 (pow.f64 (fma.f64 x 1/2 (*.f64 1/6 (*.f64 x x))) 2) (-.f64 1 (*.f64 (fma.f64 x 1/2 (*.f64 1/6 (*.f64 x x))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2) (*.f64 (*.f64 x x) 1/4)) (-.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 (*.f64 1/6 (*.f64 x x))) 2) 1) (-.f64 (fma.f64 x 1/2 (*.f64 1/6 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log1p.f64 (fma.f64 x 1/2 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (fma.f64 1/6 (*.f64 x x) 1) (-.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 x 1/2)) (*.f64 (*.f64 x x) 1/4)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 1/2 (neg.f64 (fma.f64 1/6 (*.f64 x x) 1))) (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 x 1/2 (*.f64 1/6 (*.f64 x x))))) 2)) (cbrt.f64 (log1p.f64 (fma.f64 x 1/2 (*.f64 1/6 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (fma.f64 x 1/2 (*.f64 1/6 (*.f64 x x)))))) (sqrt.f64 (log1p.f64 (fma.f64 x 1/2 (*.f64 1/6 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/2))) (exp.f64 (fma.f64 1/6 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (sqrt.f64 (exp.f64 x)) (+.f64 1 (expm1.f64 (fma.f64 1/6 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/2))) (+.f64 1 (expm1.f64 (fma.f64 1/6 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (*.f64 x x) 1))) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 1/6 (*.f64 x x) 1)) (+.f64 1 (expm1.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (*.f64 x x) 1))) (+.f64 1 (expm1.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (fma.f64 x 1/2 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (fma.f64 x 1/2 (*.f64 1/6 (*.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (fma.f64 x 1/2 (*.f64 1/6 (*.f64 x x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (fma.f64 x 1/2 (*.f64 1/6 (*.f64 x x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (fma.f64 x 1/2 (*.f64 1/6 (*.f64 x x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (fma.f64 x 1/2 (*.f64 1/6 (*.f64 x x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 (*.f64 x x) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 1/6) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1/6 (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (*.f64 x x)) 1 (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/2) 1 (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/6 (*.f64 x x)) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/2) (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x 1/2 (*.f64 1/6 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/6 (*.f64 x x) 1) 1 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (cbrt.f64 (*.f64 x 1/2)) (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (cbrt.f64 (*.f64 x x)) 1/6) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (*.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 1) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 1/2) (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) 1)) (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) 1)) 2) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 1/6 (*.f64 x x) 1)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6)) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 1/6)) (*.f64 (*.f64 x (sqrt.f64 1/6)) 1) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/6))) (hypot.f64 1 (*.f64 x (sqrt.f64 1/6))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 6) 1/216 1) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) 1/36 1) (*.f64 1/6 (*.f64 x x)))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 4) 1/36 -1) (/.f64 1 (fma.f64 1/6 (*.f64 x x) -1)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x 1/2 (*.f64 1/6 (*.f64 x x))) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (*.f64 1/6 (*.f64 x x)))) 2) (cbrt.f64 (fma.f64 x 1/2 (*.f64 1/6 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x 1/2 (*.f64 1/6 (*.f64 x x)))) (sqrt.f64 (fma.f64 x 1/2 (*.f64 1/6 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 x) x (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (*.f64 (cbrt.f64 x) x)) (cbrt.f64 (*.f64 x x)) (+.f64 1 (*.f64 x 1/2))))))) |
| 1× | egg-herbie |
| 778× | sqr-pow_binary64 |
| 540× | cube-prod_binary64 |
| 535× | fabs-mul_binary64 |
| 529× | associate-*l*_binary64 |
| 513× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 98 |
| 1 | 29 | 90 |
| 2 | 47 | 88 |
| 3 | 91 | 72 |
| 4 | 206 | 72 |
| 5 | 538 | 72 |
| 6 | 1806 | 72 |
| 7 | 3146 | 72 |
| 8 | 3352 | 72 |
| 9 | 3566 | 72 |
| 10 | 3786 | 72 |
| 11 | 4101 | 72 |
| 12 | 4503 | 72 |
| 13 | 5016 | 72 |
| 14 | 5585 | 72 |
| 15 | 6269 | 72 |
| 16 | 7106 | 72 |
| 17 | 7502 | 72 |
| 18 | 7792 | 72 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 1/2 x) 1) |
(*.f64 1/6 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/6 (pow.f64 x 2))) |
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/6 (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/6 (pow.f64 x 2)))) |
(*.f64 1/6 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/6 (pow.f64 x 2))) |
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/6 (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/6 (pow.f64 x 2)))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 1/2 x) 1) |
(fma.f64 1/2 x 1) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/6)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 1/2 x (*.f64 1/6 (*.f64 x x))) |
(fma.f64 1/2 x (*.f64 x (*.f64 x 1/6))) |
(*.f64 x (+.f64 1/2 (*.f64 x 1/6))) |
(*.f64 x (fma.f64 x 1/6 1/2)) |
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/6 (pow.f64 x 2)))) |
(+.f64 (fma.f64 1/2 x 1) (*.f64 1/6 (*.f64 x x))) |
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1)) |
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) 1)) |
(fma.f64 x (fma.f64 x 1/6 1/2) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/6 (pow.f64 x 2)))) |
(+.f64 (fma.f64 1/2 x 1) (*.f64 1/6 (*.f64 x x))) |
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1)) |
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) 1)) |
(fma.f64 x (fma.f64 x 1/6 1/2) 1) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/6)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 1/2 x (*.f64 1/6 (*.f64 x x))) |
(fma.f64 1/2 x (*.f64 x (*.f64 x 1/6))) |
(*.f64 x (+.f64 1/2 (*.f64 x 1/6))) |
(*.f64 x (fma.f64 x 1/6 1/2)) |
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/6 (pow.f64 x 2)))) |
(+.f64 (fma.f64 1/2 x 1) (*.f64 1/6 (*.f64 x x))) |
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1)) |
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) 1)) |
(fma.f64 x (fma.f64 x 1/6 1/2) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/6 (pow.f64 x 2)))) |
(+.f64 (fma.f64 1/2 x 1) (*.f64 1/6 (*.f64 x x))) |
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1)) |
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) 1)) |
(fma.f64 x (fma.f64 x 1/6 1/2) 1) |
Compiled 2053 to 1390 computations (32.3% saved)
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 122 | 2 | 124 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 123 | 5 | 128 |
| Status | Error | Program |
|---|---|---|
| ▶ | 20.3b | (+.f64 (*.f64 1/2 x) (+.f64 (+.f64 0 (*.f64 1/6 (*.f64 x x))) 1)) |
| ✓ | 0.0b | (/.f64 (expm1.f64 x) x) |
| ▶ | 61.7b | (*.f64 x (*.f64 x 1/6)) |
| ✓ | 20.5b | (+.f64 (*.f64 1/2 x) 1) |
| 20.3b | 1 |
Compiled 33 to 25 computations (24.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 x (*.f64 x 1/6)) |
| ✓ | 0.4b | (*.f64 x 1/6) |
Compiled 11 to 7 computations (36.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 x 1/6) |
| 1.0ms | x | @ | -inf | (*.f64 x 1/6) |
| 1.0ms | x | @ | inf | (*.f64 x 1/6) |
| 0.0ms | x | @ | inf | (*.f64 x (*.f64 x 1/6)) |
| 0.0ms | x | @ | 0 | (*.f64 x (*.f64 x 1/6)) |
| 1× | batch-egg-rewrite |
| 448× | pow1_binary64 |
| 434× | add-sqr-sqrt_binary64 |
| 425× | *-un-lft-identity_binary64 |
| 415× | add-log-exp_binary64 |
| 415× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 11 |
| 1 | 101 | 11 |
| 2 | 1141 | 11 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x 1/6) |
(*.f64 x (*.f64 x 1/6)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/6))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 1/6)))))))) |
| 1× | egg-herbie |
| 1082× | sqr-pow_binary64 |
| 617× | cube-prod_binary64 |
| 553× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
| 443× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 132 |
| 1 | 14 | 132 |
| 2 | 23 | 132 |
| 3 | 42 | 132 |
| 4 | 102 | 132 |
| 5 | 321 | 132 |
| 6 | 1252 | 132 |
| 7 | 2126 | 132 |
| 8 | 2290 | 132 |
| 9 | 2474 | 132 |
| 10 | 2682 | 132 |
| 11 | 2978 | 132 |
| 12 | 3371 | 132 |
| 13 | 3852 | 132 |
| 14 | 4418 | 132 |
| 15 | 5106 | 132 |
| 16 | 5941 | 132 |
| 17 | 6333 | 132 |
| 18 | 6623 | 132 |
| 19 | 6895 | 132 |
| 20 | 6967 | 132 |
| 21 | 7003 | 132 |
| 22 | 7944 | 132 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (pow.f64 x 2)) |
| Outputs |
|---|
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (*.f64 x x)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (*.f64 x x)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (*.f64 x x)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (*.f64 x x)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (*.f64 x x)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (*.f64 x x)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (*.f64 x x)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (*.f64 x x)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (*.f64 x x)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (*.f64 x x)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (*.f64 x x)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (*.f64 x x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 1/2 x) (+.f64 (+.f64 0 (*.f64 1/6 (*.f64 x x))) 1)) |
| ✓ | 0.2b | (*.f64 1/6 (*.f64 x x)) |
Compiled 46 to 29 computations (37% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 1/6 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 1/2 x) (+.f64 (+.f64 0 (*.f64 1/6 (*.f64 x x))) 1)) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 1/2 x) (+.f64 (+.f64 0 (*.f64 1/6 (*.f64 x x))) 1)) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 1/2 x) (+.f64 (+.f64 0 (*.f64 1/6 (*.f64 x x))) 1)) |
| 0.0ms | x | @ | -inf | (*.f64 1/6 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 589× | fma-def_binary64 |
| 472× | log-prod_binary64 |
| 344× | fma-neg_binary64 |
| 323× | pow-prod-down_binary64 |
| 275× | pow2_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 21 |
| 1 | 271 | 19 |
| 2 | 3347 | 18 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/6 (*.f64 x x)) |
(+.f64 (*.f64 1/2 x) (+.f64 (+.f64 0 (*.f64 1/6 (*.f64 x x))) 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/6 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 1/6 (*.f64 x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (neg.f64 (*.f64 1/6 (*.f64 x x)))) (/.f64 (*.f64 1/36 (pow.f64 x 4)) (neg.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (*.f64 1/6 (*.f64 x x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (neg.f64 (*.f64 1/6 (*.f64 x x))) (neg.f64 (*.f64 1/36 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/36 (pow.f64 x 4)) (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/216 (pow.f64 x 6)) (*.f64 1/36 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/36 (pow.f64 x 4))) (neg.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/216 (pow.f64 x 6))) (neg.f64 (*.f64 1/36 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 1/36 (pow.f64 x 4)))) (neg.f64 (neg.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/216 (pow.f64 x 6)) 1) (*.f64 1/36 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (*.f64 1/36 (pow.f64 x 4))) 1) (neg.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/36 (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/216 (pow.f64 x 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (neg.f64 (*.f64 1/6 (*.f64 x x))) (neg.f64 (*.f64 1/36 (pow.f64 x 4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/216 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/216 (pow.f64 x 6))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 (*.f64 x x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 1/6 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1/6 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (*.f64 x x)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/6 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/6 (*.f64 x x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/6 (*.f64 x x) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) 1)) (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 1/6 (*.f64 x x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) (*.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/6))) (hypot.f64 1 (*.f64 x (sqrt.f64 1/6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 1/6)) (*.f64 (*.f64 x (sqrt.f64 1/6)) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/216 (pow.f64 x 6)) (/.f64 1 (*.f64 1/36 (pow.f64 x 4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/216 (pow.f64 x 6) 1) (/.f64 1 (-.f64 (fma.f64 1/36 (pow.f64 x 4) 1) (*.f64 1/6 (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 1/36 (pow.f64 x 4))) (/.f64 1 (neg.f64 (*.f64 1/6 (*.f64 x x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/36 (pow.f64 x 4) -1) (/.f64 1 (fma.f64 1/6 (*.f64 x x) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 x) x 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/6 x) 1) x 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/6 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/6 x) (sqrt.f64 x)) (sqrt.f64 x) 0))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (*.f64 x 1/2) (fma.f64 1/6 (*.f64 x x) 1))) (/.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2) (-.f64 (*.f64 x 1/2) (fma.f64 1/6 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)) 2) (cbrt.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)) (sqrt.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 3)) (/.f64 1 (fma.f64 (fma.f64 1/6 (*.f64 x x) 1) (-.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 x 1/2)) (*.f64 (*.f64 x x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2)) (/.f64 1 (-.f64 (*.f64 x 1/2) (fma.f64 1/6 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 1/6 (*.f64 x x) 1) (-.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 x 1/2)) (*.f64 (*.f64 x x) 1/4)) (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x 1/2) (fma.f64 1/6 (*.f64 x x) 1)) (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 3)) (fma.f64 (fma.f64 1/6 (*.f64 x x) 1) (-.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 x 1/2)) (*.f64 (*.f64 x x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x (*.f64 1/2 (fma.f64 1/6 (*.f64 x x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2)) (-.f64 (*.f64 x 1/2) (fma.f64 1/6 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 3))) (neg.f64 (fma.f64 (fma.f64 1/6 (*.f64 x x) 1) (-.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 x 1/2)) (*.f64 (*.f64 x x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2))) (neg.f64 (-.f64 (*.f64 x 1/2) (fma.f64 1/6 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 1/2 (*.f64 1/6 x))) 3) 1) (+.f64 (pow.f64 (*.f64 x (+.f64 1/2 (*.f64 1/6 x))) 2) (-.f64 1 (*.f64 (*.f64 x (+.f64 1/2 (*.f64 1/6 x))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2) (*.f64 (*.f64 x x) 1/4)) (-.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 1/2 (*.f64 1/6 x))) 2) 1) (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (fma.f64 1/6 (*.f64 x x) 1) (-.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 x 1/2)) (*.f64 (*.f64 x x) 1/4)) (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 x 1/2) (fma.f64 1/6 (*.f64 x x) 1)) (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/2))) (exp.f64 (fma.f64 1/6 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (sqrt.f64 (exp.f64 x)) (+.f64 1 (expm1.f64 (fma.f64 1/6 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/2))) (+.f64 1 (expm1.f64 (fma.f64 1/6 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (*.f64 x x) 1))) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 1/6 (*.f64 x x) 1)) (+.f64 1 (expm1.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (*.f64 x x) 1))) (+.f64 1 (expm1.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 x (+.f64 1/2 (*.f64 1/6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 x (+.f64 1/2 (*.f64 1/6 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (*.f64 x (+.f64 1/2 (*.f64 1/6 x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (+.f64 1/2 (*.f64 1/6 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (+.f64 1/2 (*.f64 1/6 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 (*.f64 x x) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 1/6 x) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1/6 (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/2) 1 (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (*.f64 x x)) 1 (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/2) (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/6 (*.f64 x x)) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (+.f64 1/2 (*.f64 1/6 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/6 (*.f64 x x) 1) 1 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) 1)) (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) 1)) 2) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 1/6 (*.f64 x x) 1)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) (*.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 1) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/6) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/6))) (hypot.f64 1 (*.f64 x (sqrt.f64 1/6))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6)) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 1/6)) (*.f64 (*.f64 x (sqrt.f64 1/6)) 1) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/216 (pow.f64 x 6)) (/.f64 1 (*.f64 1/36 (pow.f64 x 4))) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/216 (pow.f64 x 6) 1) (/.f64 1 (-.f64 (fma.f64 1/36 (pow.f64 x 4) 1) (*.f64 1/6 (*.f64 x x)))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 1/36 (pow.f64 x 4))) (/.f64 1 (neg.f64 (*.f64 1/6 (*.f64 x x)))) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/36 (pow.f64 x 4) -1) (/.f64 1 (fma.f64 1/6 (*.f64 x x) -1)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 x) x (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (+.f64 1/2 (*.f64 1/6 x))) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 1/6 x)))) 2) (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 1/6 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 (*.f64 1/6 x)))) (sqrt.f64 (*.f64 x (+.f64 1/2 (*.f64 1/6 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/6 x) 1) x (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/6 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/6 x) (sqrt.f64 x)) (sqrt.f64 x) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 1/6 (*.f64 x x) 1)))))) |
| 1× | egg-herbie |
| 778× | sqr-pow_binary64 |
| 544× | associate-*l*_binary64 |
| 540× | cube-prod_binary64 |
| 533× | fabs-mul_binary64 |
| 514× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 198 |
| 1 | 33 | 198 |
| 2 | 49 | 196 |
| 3 | 94 | 174 |
| 4 | 207 | 174 |
| 5 | 553 | 174 |
| 6 | 1824 | 174 |
| 7 | 3165 | 174 |
| 8 | 3371 | 174 |
| 9 | 3584 | 174 |
| 10 | 3804 | 174 |
| 11 | 4120 | 174 |
| 12 | 4522 | 174 |
| 13 | 5033 | 174 |
| 14 | 5600 | 174 |
| 15 | 6290 | 174 |
| 16 | 7125 | 174 |
| 17 | 7519 | 174 |
| 18 | 7807 | 174 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (pow.f64 x 2)) |
1 |
(+.f64 (*.f64 1/2 x) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(*.f64 1/6 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/6 (pow.f64 x 2))) |
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/6 (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/6 (pow.f64 x 2)))) |
(*.f64 1/6 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/6 (pow.f64 x 2))) |
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/6 (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/6 (pow.f64 x 2)))) |
| Outputs |
|---|
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (*.f64 x x)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (*.f64 x x)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (*.f64 x x)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (*.f64 x x)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (*.f64 x x)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (*.f64 x x)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (*.f64 x x)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (*.f64 x x)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (*.f64 x x)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (*.f64 x x)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (*.f64 x x)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (*.f64 x x)) |
1 |
(+.f64 (*.f64 1/2 x) 1) |
(fma.f64 1/2 x 1) |
(fma.f64 x 1/2 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1)) |
(fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1)) |
(fma.f64 x 1/2 (fma.f64 x (*.f64 1/6 x) 1)) |
(fma.f64 x (fma.f64 1/6 x 1/2) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1)) |
(fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1)) |
(fma.f64 x 1/2 (fma.f64 x (*.f64 1/6 x) 1)) |
(fma.f64 x (fma.f64 1/6 x 1/2) 1) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (*.f64 x x)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 1/2 x (*.f64 1/6 (*.f64 x x))) |
(fma.f64 1/6 (*.f64 x x) (*.f64 x 1/2)) |
(*.f64 x (+.f64 (*.f64 1/6 x) 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/6 (pow.f64 x 2)))) |
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1)) |
(fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1)) |
(fma.f64 x 1/2 (fma.f64 x (*.f64 1/6 x) 1)) |
(fma.f64 x (fma.f64 1/6 x 1/2) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/6 (pow.f64 x 2)))) |
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1)) |
(fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1)) |
(fma.f64 x 1/2 (fma.f64 x (*.f64 1/6 x) 1)) |
(fma.f64 x (fma.f64 1/6 x 1/2) 1) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (*.f64 x x)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 1/2 x (*.f64 1/6 (*.f64 x x))) |
(fma.f64 1/6 (*.f64 x x) (*.f64 x 1/2)) |
(*.f64 x (+.f64 (*.f64 1/6 x) 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/6 (pow.f64 x 2)))) |
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1)) |
(fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1)) |
(fma.f64 x 1/2 (fma.f64 x (*.f64 1/6 x) 1)) |
(fma.f64 x (fma.f64 1/6 x 1/2) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/6 (pow.f64 x 2)))) |
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1)) |
(fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1)) |
(fma.f64 x 1/2 (fma.f64 x (*.f64 1/6 x) 1)) |
(fma.f64 x (fma.f64 1/6 x 1/2) 1) |
Compiled 2825 to 2071 computations (26.7% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 178 | 1 | 179 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 179 | 5 | 184 |
| Status | Error | Program |
|---|---|---|
| ✓ | 20.3b | (+.f64 (*.f64 1/2 x) (+.f64 (+.f64 0 (*.f64 1/6 (*.f64 x x))) 1)) |
| ✓ | 0.0b | (/.f64 (expm1.f64 x) x) |
| ✓ | 61.7b | (*.f64 x (*.f64 x 1/6)) |
| ✓ | 20.5b | (+.f64 (*.f64 1/2 x) 1) |
| 20.3b | 1 |
Compiled 33 to 25 computations (24.2% saved)
Compiled 1 to 1 computations (0% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 4 | 4 |
| Total | 0 | 5 | 5 |
| Status | Error | Program |
|---|---|---|
| ✓ | 20.3b | (+.f64 (*.f64 1/2 x) (+.f64 (+.f64 0 (*.f64 1/6 (*.f64 x x))) 1)) |
| ✓ | 0.0b | (/.f64 (expm1.f64 x) x) |
| ✓ | 61.7b | (*.f64 x (*.f64 x 1/6)) |
| ✓ | 20.5b | (+.f64 (*.f64 1/2 x) 1) |
| 20.3b | 1 |
Compiled 33 to 25 computations (24.2% saved)
| Inputs |
|---|
1 |
1 |
(*.f64 x (*.f64 x 1/6)) |
(+.f64 (*.f64 1/2 x) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (+.f64 0 (*.f64 1/6 (*.f64 x x))) 1)) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
| Outputs |
|---|
(/.f64 (expm1.f64 x) x) |
3 calls:
| 37.0ms | x |
| 3.0ms | (/.f64 (-.f64 (exp.f64 x) 1) x) |
| 3.0ms | (/.f64 (-.f64 (exp.f64 x) 1) x) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | (/.f64 (-.f64 (exp.f64 x) 1) x) |
| 0.0b | 1 | (/.f64 (-.f64 (exp.f64 x) 1) x) |
Compiled 63 to 46 computations (27% saved)
Total -41.7b remaining (-206%)
Threshold costs -41.7b (-206%)
| Inputs |
|---|
1 |
1 |
(*.f64 x (*.f64 x 1/6)) |
(+.f64 (*.f64 1/2 x) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (+.f64 0 (*.f64 1/6 (*.f64 x x))) 1)) |
| Outputs |
|---|
1 |
1 calls:
| 9.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 20.3b | 1 | x |
Compiled 28 to 21 computations (25% saved)
| 1× | egg-herbie |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 7 | 7 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (expm1.f64 x) x) |
1 |
| Outputs |
|---|
(/.f64 (expm1.f64 x) x) |
1 |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
| 95× | fma-def_binary64 |
| 80× | fma-neg_binary64 |
| 32× | distribute-rgt-in_binary64 |
| 28× | cancel-sign-sub-inv_binary64 |
| 26× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 6 |
| 1 | 15 | 6 |
| 2 | 18 | 6 |
| 3 | 22 | 6 |
| 4 | 30 | 6 |
| 5 | 40 | 6 |
| 6 | 59 | 6 |
| 7 | 100 | 6 |
| 8 | 145 | 6 |
| 9 | 223 | 6 |
| 10 | 352 | 6 |
| 11 | 511 | 6 |
| 12 | 583 | 6 |
| 13 | 619 | 6 |
| 1× | saturated |
Compiled 12 to 8 computations (33.3% saved)
Compiled 6 to 4 computations (33.3% saved)
Loading profile data...