Time bar (total: 7.6s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 0% | 50% | 50% | 3 |
| 25% | 25% | 50% | 4 |
| 37.5% | 12.5% | 50% | 5 |
| 43.7% | 6.2% | 50% | 6 |
| 46.9% | 3.1% | 50% | 7 |
| 48.4% | 1.6% | 50% | 8 |
| 49.2% | 0.8% | 50% | 9 |
| 49.6% | 0.4% | 50% | 10 |
| 49.8% | 0.2% | 50% | 11 |
| 49.9% | 0.1% | 50% | 12 |
Compiled 21 to 16 computations (23.8% saved)
| 1.4s | 8256× | body | 256 | valid |
| 0.0ms | 4× | body | 256 | invalid |
| 2× | egg-herbie |
| 748× | fma-neg_binary64 |
| 738× | div-sub_binary64 |
| 598× | fma-def_binary64 |
| 488× | associate-/l*_binary64 |
| 410× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 29 |
| 1 | 37 | 29 |
| 2 | 89 | 27 |
| 3 | 238 | 27 |
| 4 | 711 | 27 |
| 5 | 1689 | 25 |
| 6 | 2917 | 25 |
| 7 | 5200 | 25 |
| 8 | 7541 | 25 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v))) |
(*.f64 (/.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v)))) (-.f64 1 (*.f64 v v)))) |
(*.f64 (/.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))) (-.f64 1 (*.f64 v v)))) |
(*.f64 (/.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) (-.f64 1 (*.f64 v v)))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) (*.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v)))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) (*.f64 (fma.f64 v v -1) (/.f64 (sqrt.f64 2) -4))) |
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 (sqrt.f64 2) (*.f64 -1/4 (fma.f64 v v -1)))) |
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4))) |
Compiled 21 to 16 computations (23.8% saved)
| 1× | egg-herbie |
| 748× | fma-neg_binary64 |
| 738× | div-sub_binary64 |
| 598× | fma-def_binary64 |
| 488× | associate-/l*_binary64 |
| 410× | distribute-rgt-in_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 29 |
| 1 | 37 | 29 |
| 2 | 89 | 27 |
| 3 | 238 | 27 |
| 4 | 711 | 27 |
| 5 | 1689 | 25 |
| 6 | 2917 | 25 |
| 7 | 5200 | 25 |
| 8 | 7541 | 25 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v))) |
(*.f64 (/.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v)))) (-.f64 1 (*.f64 v v)))) |
(*.f64 (/.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))) (-.f64 1 (*.f64 v v)))) |
(*.f64 (/.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) (-.f64 1 (*.f64 v v)))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) (*.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v)))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) (*.f64 (fma.f64 v v -1) (/.f64 (sqrt.f64 2) -4))) |
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 (sqrt.f64 2) (*.f64 -1/4 (fma.f64 v v -1)))) |
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4))) |
Compiled 37 to 28 computations (24.3% 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 |
|---|---|---|
| ▶ | 0.0b | (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4))) |
| ▶ | 0.0b | (*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v))) |
Compiled 38 to 29 computations (23.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) |
| ✓ | 0.0b | (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4))) |
| ✓ | 0.0b | (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)) |
Compiled 61 to 45 computations (26.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | v | @ | inf | (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)) |
| 4.0ms | v | @ | inf | (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4))) |
| 2.0ms | v | @ | 0 | (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)) |
| 2.0ms | v | @ | 0 | (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4))) |
| 2.0ms | v | @ | -inf | (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)) |
| 1× | batch-egg-rewrite |
| 628× | log-prod_binary64 |
| 414× | pow-prod-down_binary64 |
| 337× | pow2_binary64 |
| 239× | pow-unpow_binary64 |
| 238× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 48 |
| 1 | 294 | 46 |
| 2 | 3194 | 46 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)) |
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4))) |
(sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) (*.f64 -1/4 (sqrt.f64 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) (*.f64 -1/4 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) (*.f64 -1/4 (sqrt.f64 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) (*.f64 -1/4 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (*.f64 (pow.f64 (fma.f64 v v -1) 2) 1/16)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (*.f64 (pow.f64 (fma.f64 v v -1) 2) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) (*.f64 -1/4 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) (*.f64 2 (*.f64 (pow.f64 (fma.f64 v v -1) 2) 1/16))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) (*.f64 2 (*.f64 (pow.f64 (fma.f64 v v -1) 2) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2)))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/6) (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) (pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/4) (pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 (*.f64 v (*.f64 v -3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (log1p.f64 (*.f64 v (*.f64 v -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 v (*.f64 v -3))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 v (*.f64 v -3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 (*.f64 v (*.f64 v -3)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 (*.f64 v (*.f64 v -3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 v (*.f64 v -3))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 v (*.f64 v -3))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 v (*.f64 v -3)))) 1) 1)))))) |
| 1× | egg-herbie |
| 748× | fma-def_binary64 |
| 600× | distribute-rgt-out_binary64 |
| 538× | associate-*l*_binary64 |
| 512× | associate-*r*_binary64 |
| 345× | times-frac_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 1075 |
| 1 | 380 | 1023 |
| 2 | 1321 | 898 |
| 3 | 5484 | 862 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/4 (sqrt.f64 2)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(*.f64 1/4 (sqrt.f64 2)) |
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (*.f64 3/2 (sqrt.f64 2))))) (*.f64 1/4 (sqrt.f64 2))) |
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (*.f64 3/2 (sqrt.f64 2))))) (+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -3/2 (sqrt.f64 2)) (*.f64 9/8 (sqrt.f64 2))) (pow.f64 v 4))))) |
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (*.f64 3/2 (sqrt.f64 2))))) (+.f64 (*.f64 1/4 (sqrt.f64 2)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 v 6) (+.f64 (*.f64 27/16 (sqrt.f64 2)) (*.f64 -9/8 (sqrt.f64 2))))) (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -3/2 (sqrt.f64 2)) (*.f64 9/8 (sqrt.f64 2))) (pow.f64 v 4)))))) |
(*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))) |
(+.f64 (*.f64 -1/4 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))) |
(+.f64 (*.f64 -1/4 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))) |
(+.f64 (*.f64 -1/4 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5))) (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 v 3)))))) |
(*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))) |
(+.f64 (*.f64 1/4 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))) |
(+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (+.f64 (*.f64 1/4 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))) |
(+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5))) (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 v 3))) (+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (+.f64 (*.f64 1/4 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))))) |
1 |
(+.f64 1 (*.f64 -3/2 (pow.f64 v 2))) |
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 v 2)) (*.f64 -9/8 (pow.f64 v 4)))) |
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 v 2)) (+.f64 (*.f64 -27/16 (pow.f64 v 6)) (*.f64 -9/8 (pow.f64 v 4))))) |
(*.f64 v (sqrt.f64 -3)) |
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 v (sqrt.f64 -3))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (*.f64 v (sqrt.f64 -3)))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) |
(*.f64 -1 (*.f64 v (sqrt.f64 -3))) |
(-.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3))))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3))))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))))) |
| Outputs |
|---|
(*.f64 1/4 (sqrt.f64 2)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v v)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 -1/4 (*.f64 v v)))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 -1/4 (*.f64 v v)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v v)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 -1/4 (*.f64 v v)))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 -1/4 (*.f64 v v)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v v)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 -1/4 (*.f64 v v)))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 -1/4 (*.f64 v v)))) |
(*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v v))) |
(*.f64 (sqrt.f64 2) (*.f64 -1/4 (*.f64 v v))) |
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -1/4)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v v)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 -1/4 (*.f64 v v)))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 -1/4 (*.f64 v v)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v v)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 -1/4 (*.f64 v v)))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 -1/4 (*.f64 v v)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v v)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 -1/4 (*.f64 v v)))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 -1/4 (*.f64 v v)))) |
(*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v v))) |
(*.f64 (sqrt.f64 2) (*.f64 -1/4 (*.f64 v v))) |
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -1/4)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v v)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 -1/4 (*.f64 v v)))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 -1/4 (*.f64 v v)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v v)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 -1/4 (*.f64 v v)))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 -1/4 (*.f64 v v)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v v)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 -1/4 (*.f64 v v)))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 -1/4 (*.f64 v v)))) |
(*.f64 1/4 (sqrt.f64 2)) |
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (*.f64 3/2 (sqrt.f64 2))))) (*.f64 1/4 (sqrt.f64 2))) |
(fma.f64 -1/4 (*.f64 (*.f64 v v) (*.f64 5/2 (sqrt.f64 2))) (*.f64 1/4 (sqrt.f64 2))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) 5/2)) (*.f64 v v))) |
(*.f64 (sqrt.f64 2) (+.f64 (*.f64 (*.f64 v v) -5/8) 1/4)) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -5/8))) |
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (*.f64 3/2 (sqrt.f64 2))))) (+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -3/2 (sqrt.f64 2)) (*.f64 9/8 (sqrt.f64 2))) (pow.f64 v 4))))) |
(fma.f64 -1/4 (*.f64 (*.f64 v v) (*.f64 5/2 (sqrt.f64 2))) (fma.f64 1/4 (sqrt.f64 2) (*.f64 -1/4 (*.f64 (*.f64 (sqrt.f64 2) -3/8) (pow.f64 v 4))))) |
(fma.f64 -1/4 (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) 5/2)) (fma.f64 1/4 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 -1/4 (*.f64 (sqrt.f64 2) -3/8))))) |
(fma.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/32) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (*.f64 v v) -5/8) 1/4))) |
(fma.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/32) (*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -5/8)))) |
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (*.f64 3/2 (sqrt.f64 2))))) (+.f64 (*.f64 1/4 (sqrt.f64 2)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 v 6) (+.f64 (*.f64 27/16 (sqrt.f64 2)) (*.f64 -9/8 (sqrt.f64 2))))) (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -3/2 (sqrt.f64 2)) (*.f64 9/8 (sqrt.f64 2))) (pow.f64 v 4)))))) |
(fma.f64 -1/4 (*.f64 (*.f64 v v) (*.f64 5/2 (sqrt.f64 2))) (fma.f64 1/4 (sqrt.f64 2) (*.f64 -1/4 (+.f64 (*.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) 9/16)) (*.f64 (*.f64 (sqrt.f64 2) -3/8) (pow.f64 v 4)))))) |
(fma.f64 -1/4 (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) 5/2)) (fma.f64 1/4 (sqrt.f64 2) (*.f64 -1/4 (fma.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) 9/16) (*.f64 (*.f64 (sqrt.f64 2) -3/8) (pow.f64 v 4)))))) |
(fma.f64 -1/4 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (pow.f64 v 4) -3/8) (*.f64 (pow.f64 v 6) 9/16))) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (*.f64 v v) -5/8) 1/4))) |
(fma.f64 -1/4 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (pow.f64 v 4) -3/8) (*.f64 (pow.f64 v 6) 9/16))) (*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -5/8)))) |
(*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))) |
(*.f64 (*.f64 -1/4 (sqrt.f64 2)) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 2) -1/4) (pow.f64 v 3)) (sqrt.f64 -3)) |
(*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (*.f64 -1/4 (sqrt.f64 -3)))) |
(*.f64 (sqrt.f64 2) (*.f64 -1/4 (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))) |
(+.f64 (*.f64 -1/4 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))) |
(*.f64 -1/4 (+.f64 (*.f64 v (fma.f64 -1 (*.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))) |
(*.f64 -1/4 (fma.f64 v (-.f64 (/.f64 1/2 (/.f64 (sqrt.f64 -3) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) |
(*.f64 -1/4 (fma.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)) (*.f64 v (-.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) |
(*.f64 -1/4 (fma.f64 v (*.f64 (sqrt.f64 2) (-.f64 (/.f64 1/2 (sqrt.f64 -3)) (sqrt.f64 -3))) (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) |
(+.f64 (*.f64 -1/4 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))) |
(fma.f64 -1/4 (*.f64 v (fma.f64 -1 (*.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (*.f64 -1/4 (+.f64 (/.f64 (fma.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -1/2)) v) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))) |
(*.f64 -1/4 (+.f64 (*.f64 v (-.f64 (/.f64 1/2 (/.f64 (sqrt.f64 -3) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (+.f64 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -1/2 (*.f64 1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)))) |
(*.f64 -1/4 (fma.f64 v (-.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (fma.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)) (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -11/24) v)))) |
(fma.f64 -1/4 (fma.f64 v (*.f64 (sqrt.f64 2) (-.f64 (/.f64 1/2 (sqrt.f64 -3)) (sqrt.f64 -3))) (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 11/96) v)) |
(+.f64 (*.f64 -1/4 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5))) (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 v 3)))))) |
(fma.f64 -1/4 (*.f64 v (fma.f64 -1 (*.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (fma.f64 -1/4 (/.f64 (fma.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -1/2)) v) (*.f64 -1/4 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))) (/.f64 (fma.f64 1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (/.f64 (*.f64 1/8 (sqrt.f64 2)) (pow.f64 (sqrt.f64 -3) 3))) (pow.f64 v 3)))))) |
(fma.f64 -1/4 (*.f64 v (-.f64 (/.f64 1/2 (/.f64 (sqrt.f64 -3) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (*.f64 -1/4 (+.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -1/2 (*.f64 1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v) (fma.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)) (/.f64 (fma.f64 1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (*.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (pow.f64 v 3)))))) |
(*.f64 -1/4 (+.f64 (fma.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)) (/.f64 (fma.f64 1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -1/24)) (pow.f64 v 3))) (fma.f64 v (-.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -11/24) v)))) |
(*.f64 -1/4 (+.f64 (fma.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -3) 5)) (/.f64 -1/24 (sqrt.f64 -3)))) (pow.f64 v 3))) (fma.f64 v (*.f64 (sqrt.f64 2) (-.f64 (/.f64 1/2 (sqrt.f64 -3)) (sqrt.f64 -3))) (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -11/24) v)))) |
(*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))) |
(*.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))) |
(*.f64 1/4 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) |
(*.f64 (sqrt.f64 -3) (*.f64 1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 3)))) |
(+.f64 (*.f64 1/4 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))) |
(*.f64 1/4 (+.f64 (*.f64 v (fma.f64 -1 (*.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))) |
(*.f64 1/4 (fma.f64 v (-.f64 (/.f64 1/2 (/.f64 (sqrt.f64 -3) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) |
(*.f64 1/4 (fma.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)) (*.f64 v (-.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) |
(*.f64 1/4 (fma.f64 v (*.f64 (sqrt.f64 2) (-.f64 (/.f64 1/2 (sqrt.f64 -3)) (sqrt.f64 -3))) (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) |
(+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (+.f64 (*.f64 1/4 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))) |
(fma.f64 1/4 (/.f64 (fma.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -1/2)) v) (*.f64 1/4 (+.f64 (*.f64 v (fma.f64 -1 (*.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))) |
(*.f64 1/4 (+.f64 (fma.f64 v (-.f64 (/.f64 1/2 (/.f64 (sqrt.f64 -3) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -1/2 (*.f64 1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v))) |
(*.f64 1/4 (fma.f64 v (-.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (fma.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)) (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -11/24) v)))) |
(fma.f64 1/4 (fma.f64 v (*.f64 (sqrt.f64 2) (-.f64 (/.f64 1/2 (sqrt.f64 -3)) (sqrt.f64 -3))) (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -11/96) v)) |
(+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5))) (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 v 3))) (+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (+.f64 (*.f64 1/4 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))))) |
(fma.f64 1/4 (/.f64 (fma.f64 1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (/.f64 (*.f64 1/8 (sqrt.f64 2)) (pow.f64 (sqrt.f64 -3) 3))) (pow.f64 v 3)) (fma.f64 1/4 (/.f64 (fma.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -1/2)) v) (*.f64 1/4 (+.f64 (*.f64 v (fma.f64 -1 (*.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))))) |
(fma.f64 1/4 (/.f64 (fma.f64 1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (*.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (pow.f64 v 3)) (*.f64 1/4 (+.f64 (fma.f64 v (-.f64 (/.f64 1/2 (/.f64 (sqrt.f64 -3) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -1/2 (*.f64 1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)))) |
(fma.f64 1/4 (fma.f64 v (-.f64 (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (fma.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)) (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -11/24) v))) (/.f64 (+.f64 (*.f64 -1/96 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) 1/64)) (pow.f64 v 3))) |
(*.f64 1/4 (+.f64 (fma.f64 v (*.f64 (sqrt.f64 2) (-.f64 (/.f64 1/2 (sqrt.f64 -3)) (sqrt.f64 -3))) (fma.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)) (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -11/24) v))) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -3) 5)) (/.f64 -1/24 (sqrt.f64 -3)))) (pow.f64 v 3)))) |
1 |
(+.f64 1 (*.f64 -3/2 (pow.f64 v 2))) |
(+.f64 1 (*.f64 (*.f64 v v) -3/2)) |
(fma.f64 (*.f64 v v) -3/2 1) |
(fma.f64 v (*.f64 v -3/2) 1) |
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 v 2)) (*.f64 -9/8 (pow.f64 v 4)))) |
(+.f64 1 (fma.f64 -3/2 (*.f64 v v) (*.f64 (pow.f64 v 4) -9/8))) |
(+.f64 (fma.f64 (*.f64 v v) -3/2 1) (*.f64 (pow.f64 v 4) -9/8)) |
(fma.f64 v (*.f64 v -3/2) (fma.f64 (pow.f64 v 4) -9/8 1)) |
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 v 2)) (+.f64 (*.f64 -27/16 (pow.f64 v 6)) (*.f64 -9/8 (pow.f64 v 4))))) |
(+.f64 1 (fma.f64 -3/2 (*.f64 v v) (fma.f64 -27/16 (pow.f64 v 6) (*.f64 (pow.f64 v 4) -9/8)))) |
(+.f64 (fma.f64 (*.f64 v v) -3/2 1) (fma.f64 (pow.f64 v 4) -9/8 (*.f64 (pow.f64 v 6) -27/16))) |
(+.f64 1 (fma.f64 v (*.f64 v -3/2) (fma.f64 (pow.f64 v 4) -9/8 (*.f64 (pow.f64 v 6) -27/16)))) |
(+.f64 (fma.f64 v (*.f64 v -3/2) 1) (fma.f64 (pow.f64 v 4) -9/8 (*.f64 (pow.f64 v 6) -27/16))) |
(*.f64 v (sqrt.f64 -3)) |
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 v (sqrt.f64 -3))) |
(+.f64 (*.f64 v (sqrt.f64 -3)) (/.f64 1/2 (*.f64 v (sqrt.f64 -3)))) |
(fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) |
(+.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (-.f64 (*.f64 v (sqrt.f64 -3)) (/.f64 1/8 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) |
(+.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3)))) (/.f64 -1/8 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) -3)))) |
(-.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3)))) (/.f64 (/.f64 -1/24 (sqrt.f64 -3)) (pow.f64 v 3))) |
(+.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/24 (sqrt.f64 -3)) (pow.f64 v 3)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (*.f64 v (sqrt.f64 -3)))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) |
(+.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (-.f64 (+.f64 (*.f64 v (sqrt.f64 -3)) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5)))) (/.f64 1/8 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) |
(+.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5)))) (-.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (/.f64 1/8 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) -3))))) |
(+.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5))) (fma.f64 v (sqrt.f64 -3) (/.f64 1/24 (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))) |
(+.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5))) (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/24 (sqrt.f64 -3)) (pow.f64 v 3))))) |
(*.f64 -1 (*.f64 v (sqrt.f64 -3))) |
(neg.f64 (*.f64 v (sqrt.f64 -3))) |
(*.f64 v (neg.f64 (sqrt.f64 -3))) |
(-.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3))))) |
(-.f64 (neg.f64 (*.f64 v (sqrt.f64 -3))) (/.f64 1/2 (*.f64 v (sqrt.f64 -3)))) |
(neg.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3))))) |
(-.f64 (/.f64 -1/2 (*.f64 v (sqrt.f64 -3))) (*.f64 v (sqrt.f64 -3))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3))))) |
(-.f64 (fma.f64 -1 (*.f64 v (sqrt.f64 -3)) (/.f64 1/8 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (/.f64 1/2 (*.f64 v (sqrt.f64 -3)))) |
(+.f64 (/.f64 1/8 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) -3))) (neg.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3)))))) |
(-.f64 (/.f64 (/.f64 -1/24 (sqrt.f64 -3)) (pow.f64 v 3)) (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3))))) |
(-.f64 (/.f64 -1/24 (*.f64 (pow.f64 v 3) (sqrt.f64 -3))) (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3))))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))))) |
(-.f64 (fma.f64 -1 (*.f64 v (sqrt.f64 -3)) (/.f64 1/8 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5))))) |
(+.f64 (-.f64 (/.f64 1/8 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) -3))) (*.f64 v (sqrt.f64 -3))) (-.f64 (/.f64 -1/2 (*.f64 v (sqrt.f64 -3))) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5))))) |
(+.f64 (-.f64 (/.f64 (/.f64 -1/24 (sqrt.f64 -3)) (pow.f64 v 3)) (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3))))) (/.f64 -1/16 (*.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5)))) |
(+.f64 (-.f64 (/.f64 -1/24 (*.f64 (pow.f64 v 3) (sqrt.f64 -3))) (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3))))) (/.f64 -1/16 (*.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) |
| ✓ | 0.0b | (*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v))) |
| ✓ | 0.0b | (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) |
| ✓ | 0.1b | (*.f64 3 (*.f64 v v)) |
Compiled 72 to 48 computations (33.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | v | @ | inf | (*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v))) |
| 1.0ms | v | @ | inf | (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) |
| 1.0ms | v | @ | 0 | (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) |
| 1.0ms | v | @ | 0 | (*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v))) |
| 1.0ms | v | @ | 0 | (*.f64 3 (*.f64 v v)) |
| 1× | batch-egg-rewrite |
| 705× | log-prod_binary64 |
| 701× | prod-diff_binary64 |
| 288× | fma-def_binary64 |
| 255× | expm1-udef_binary64 |
| 253× | log1p-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 68 |
| 1 | 331 | 58 |
| 2 | 4109 | 52 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (*.f64 v v)) |
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v))) |
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) |
| Outputs |
|---|
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(fma.f64 (*.f64 v v) -3 1))) (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/8) (cbrt.f64 (fma.f64 (*.f64 v v) -3 1))) (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))) (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 (fma.f64 (*.f64 v v) -3 1) 1/4)) (pow.f64 (fma.f64 (*.f64 v v) -3 1) 1/4) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 (fma.f64 (*.f64 v v) -3 1) 1/4)) (pow.f64 (fma.f64 (*.f64 v v) -3 1) 1/4) (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) 1/2) (cbrt.f64 (sqrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))) (cbrt.f64 (fma.f64 (*.f64 v v) -3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 v v) -3 1)) (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (*.f64 v v) -3 1) 1/4) (pow.f64 (fma.f64 (*.f64 v v) -3 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 v v) -3 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 (*.f64 v v) -3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 v v) -3 1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 v v) -3 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (*.f64 9 (pow.f64 v 4)))) (hypot.f64 1 (*.f64 v (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (*.f64 27 (pow.f64 v 6)))) (hypot.f64 1 (hypot.f64 (*.f64 3 (*.f64 v v)) (*.f64 v (sqrt.f64 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 v v) -3 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 v v) -3 1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 v v) -3 1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 v v) -3 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 (*.f64 (*.f64 v v) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (log1p.f64 (*.f64 (*.f64 v v) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 v v) -3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 (*.f64 v v) -3))) 1)))))) |
| 1× | egg-herbie |
| 652× | associate-*l*_binary64 |
| 568× | associate-*r*_binary64 |
| 355× | associate-/r*_binary64 |
| 302× | associate-+l+_binary64 |
| 243× | distribute-rgt-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 158 | 1365 |
| 1 | 507 | 1329 |
| 2 | 1756 | 1237 |
| 3 | 6375 | 1236 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (pow.f64 v 2)) |
(*.f64 3 (pow.f64 v 2)) |
(*.f64 3 (pow.f64 v 2)) |
(*.f64 3 (pow.f64 v 2)) |
(*.f64 3 (pow.f64 v 2)) |
(*.f64 3 (pow.f64 v 2)) |
(*.f64 3 (pow.f64 v 2)) |
(*.f64 3 (pow.f64 v 2)) |
(*.f64 3 (pow.f64 v 2)) |
(*.f64 3 (pow.f64 v 2)) |
(*.f64 3 (pow.f64 v 2)) |
(*.f64 3 (pow.f64 v 2)) |
(*.f64 1/4 (sqrt.f64 2)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 -9/32 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))) |
(+.f64 (*.f64 -9/32 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (*.f64 1/4 (sqrt.f64 2)) (+.f64 (*.f64 -27/64 (*.f64 (sqrt.f64 2) (pow.f64 v 6))) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))) |
(*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (*.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 -1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (*.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))) |
(+.f64 (*.f64 1/64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 -1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (*.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))))) |
(*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) |
(+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))) |
(+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (*.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))) |
(+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 -1/64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (*.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))))) |
(*.f64 1/4 (sqrt.f64 2)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 1/4 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 -9/8 (sqrt.f64 2)) (*.f64 3/2 (sqrt.f64 2))))) (*.f64 1/4 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2))))))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 -9/8 (sqrt.f64 2)) (*.f64 3/2 (sqrt.f64 2))))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2))))) (*.f64 1/4 (*.f64 (pow.f64 v 6) (+.f64 (*.f64 9/8 (sqrt.f64 2)) (*.f64 -27/16 (sqrt.f64 2)))))))) |
(*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))) |
(+.f64 (*.f64 1/4 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))) |
(+.f64 (*.f64 1/4 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))) |
(+.f64 (*.f64 1/4 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))))) |
(*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))) |
(+.f64 (*.f64 -1/4 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))) |
(+.f64 (*.f64 -1/4 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))) |
(+.f64 (*.f64 -1/4 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))))) |
1 |
(+.f64 1 (*.f64 -3/2 (pow.f64 v 2))) |
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 v 2)) (*.f64 -9/8 (pow.f64 v 4)))) |
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 v 2)) (+.f64 (*.f64 -27/16 (pow.f64 v 6)) (*.f64 -9/8 (pow.f64 v 4))))) |
(*.f64 v (sqrt.f64 -3)) |
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 v (sqrt.f64 -3))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (*.f64 v (sqrt.f64 -3)))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) |
(*.f64 -1 (*.f64 v (sqrt.f64 -3))) |
(-.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3))))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3))))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))))) |
| Outputs |
|---|
(*.f64 3 (pow.f64 v 2)) |
(*.f64 3 (*.f64 v v)) |
(*.f64 3 (pow.f64 v 2)) |
(*.f64 3 (*.f64 v v)) |
(*.f64 3 (pow.f64 v 2)) |
(*.f64 3 (*.f64 v v)) |
(*.f64 3 (pow.f64 v 2)) |
(*.f64 3 (*.f64 v v)) |
(*.f64 3 (pow.f64 v 2)) |
(*.f64 3 (*.f64 v v)) |
(*.f64 3 (pow.f64 v 2)) |
(*.f64 3 (*.f64 v v)) |
(*.f64 3 (pow.f64 v 2)) |
(*.f64 3 (*.f64 v v)) |
(*.f64 3 (pow.f64 v 2)) |
(*.f64 3 (*.f64 v v)) |
(*.f64 3 (pow.f64 v 2)) |
(*.f64 3 (*.f64 v v)) |
(*.f64 3 (pow.f64 v 2)) |
(*.f64 3 (*.f64 v v)) |
(*.f64 3 (pow.f64 v 2)) |
(*.f64 3 (*.f64 v v)) |
(*.f64 3 (pow.f64 v 2)) |
(*.f64 3 (*.f64 v v)) |
(*.f64 1/4 (sqrt.f64 2)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -3/8 (*.f64 (*.f64 v v) (sqrt.f64 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) -3/8))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -3/8))) |
(+.f64 (*.f64 -9/32 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))) |
(fma.f64 -9/32 (*.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (*.f64 -3/8 (*.f64 (*.f64 v v) (sqrt.f64 2))))) |
(fma.f64 -9/32 (*.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) -3/8)))) |
(fma.f64 -9/32 (*.f64 (sqrt.f64 2) (pow.f64 v 4)) (*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -3/8)))) |
(+.f64 (*.f64 -9/32 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (*.f64 1/4 (sqrt.f64 2)) (+.f64 (*.f64 -27/64 (*.f64 (sqrt.f64 2) (pow.f64 v 6))) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))) |
(fma.f64 -9/32 (*.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (fma.f64 -27/64 (*.f64 (sqrt.f64 2) (pow.f64 v 6)) (*.f64 -3/8 (*.f64 (*.f64 v v) (sqrt.f64 2)))))) |
(fma.f64 -9/32 (*.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (fma.f64 -3/8 (*.f64 (*.f64 v v) (sqrt.f64 2)) (*.f64 (*.f64 -27/64 (pow.f64 v 6)) (sqrt.f64 2))))) |
(+.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (*.f64 v v) -3/8) (*.f64 -27/64 (pow.f64 v 6)))) (*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 -9/32 (pow.f64 v 4))))) |
(*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) |
(*.f64 1/4 (*.f64 v (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) |
(*.f64 v (*.f64 1/4 (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (*.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))) |
(fma.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))) |
(fma.f64 1/4 (*.f64 v (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (/.f64 1/8 (sqrt.f64 -3)) (/.f64 (sqrt.f64 2) v))) |
(fma.f64 1/4 (*.f64 v (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 -1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (*.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))) |
(fma.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (fma.f64 -1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))) |
(fma.f64 1/4 (*.f64 v (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (fma.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (/.f64 (*.f64 (sqrt.f64 2) -1/32) (*.f64 (sqrt.f64 -3) (*.f64 -3 (pow.f64 v 3)))))) |
(fma.f64 1/4 (*.f64 v (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (fma.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (/.f64 1/96 (sqrt.f64 -3))))) |
(+.f64 (*.f64 1/64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 -1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (*.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))))) |
(fma.f64 1/64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (fma.f64 -1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))))) |
(fma.f64 1/64 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (pow.f64 v 5)) (fma.f64 1/4 (*.f64 v (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (fma.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (/.f64 (*.f64 (sqrt.f64 2) -1/32) (*.f64 (sqrt.f64 -3) (*.f64 -3 (pow.f64 v 3))))))) |
(fma.f64 1/64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 1/4 (*.f64 v (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (fma.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (/.f64 1/96 (sqrt.f64 -3)))))) |
(fma.f64 1/64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5))) (fma.f64 1/4 (*.f64 v (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (fma.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (/.f64 1/96 (sqrt.f64 -3)))))) |
(*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) -1/4) |
(*.f64 (*.f64 -1/4 (*.f64 v (sqrt.f64 -3))) (sqrt.f64 2)) |
(*.f64 v (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -3)) -1/4)) |
(+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))) |
(fma.f64 -1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) -1/4)) |
(fma.f64 (*.f64 v (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) -1/4 (*.f64 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) -1/8)) |
(+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (*.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))) |
(fma.f64 -1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (fma.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) 1/32))) |
(fma.f64 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) -1/8 (fma.f64 (*.f64 v (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) -1/4 (/.f64 (*.f64 (sqrt.f64 2) 1/32) (*.f64 (sqrt.f64 -3) (*.f64 -3 (pow.f64 v 3)))))) |
(fma.f64 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) -1/8 (fma.f64 (*.f64 v (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) -1/4 (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (/.f64 -1/96 (sqrt.f64 -3))))) |
(+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 -1/64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (*.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))))) |
(fma.f64 -1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (fma.f64 -1/64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) 1/32)))) |
(fma.f64 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) -1/8 (fma.f64 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (pow.f64 v 5)) -1/64 (fma.f64 (*.f64 v (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) -1/4 (/.f64 (*.f64 (sqrt.f64 2) 1/32) (*.f64 (sqrt.f64 -3) (*.f64 -3 (pow.f64 v 3))))))) |
(fma.f64 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) -1/8 (fma.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))) -1/64 (fma.f64 (*.f64 v (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) -1/4 (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (/.f64 -1/96 (sqrt.f64 -3)))))) |
(fma.f64 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) -1/8 (fma.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5))) -1/64 (fma.f64 (*.f64 v (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) -1/4 (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (/.f64 -1/96 (sqrt.f64 -3)))))) |
(*.f64 1/4 (sqrt.f64 2)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 1/4 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))))) |
(*.f64 1/4 (+.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -5/2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 v (*.f64 v (*.f64 (sqrt.f64 2) -5/8)))) |
(*.f64 1/4 (*.f64 (+.f64 (*.f64 (*.f64 v v) -5/2) 1) (sqrt.f64 2))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 -9/8 (sqrt.f64 2)) (*.f64 3/2 (sqrt.f64 2))))) (*.f64 1/4 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2))))))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 1/4 (+.f64 (*.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/8)) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -5/2))))) |
(*.f64 1/4 (+.f64 (fma.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/8) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -5/2))) (sqrt.f64 2))) |
(*.f64 1/4 (+.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (*.f64 v v) -5/2) (*.f64 (pow.f64 v 4) 3/8))))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 -9/8 (sqrt.f64 2)) (*.f64 3/2 (sqrt.f64 2))))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2))))) (*.f64 1/4 (*.f64 (pow.f64 v 6) (+.f64 (*.f64 9/8 (sqrt.f64 2)) (*.f64 -27/16 (sqrt.f64 2)))))))) |
(fma.f64 1/4 (sqrt.f64 2) (fma.f64 1/4 (*.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/8)) (*.f64 1/4 (+.f64 (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -5/2)) (*.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) -9/16)))))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 1/4 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 3/8 (pow.f64 v 4))) (fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -5/2) (*.f64 (sqrt.f64 2) (*.f64 -9/16 (pow.f64 v 6))))))) |
(fma.f64 1/4 (sqrt.f64 2) (fma.f64 1/4 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (*.f64 v v) -5/2) (*.f64 (pow.f64 v 6) -9/16))) (*.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/32)))) |
(*.f64 1/4 (+.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (*.f64 v v) -5/2) (*.f64 (pow.f64 v 6) -9/16))) (*.f64 (+.f64 (*.f64 (pow.f64 v 4) 3/8) 1) (sqrt.f64 2)))) |
(*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))) |
(*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3)))) |
(*.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 -3) (pow.f64 v 3))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) -1/4))) |
(+.f64 (*.f64 1/4 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))) |
(fma.f64 1/4 (*.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3))))) |
(fma.f64 1/4 (*.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (*.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 -3) (pow.f64 v 3))) (sqrt.f64 2))) |
(fma.f64 1/4 (*.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 (/.f64 -1/2 (sqrt.f64 -3)) (sqrt.f64 2)))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) -1/4)))) |
(+.f64 (*.f64 1/4 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))) |
(fma.f64 1/4 (*.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (fma.f64 1/4 (/.f64 (fma.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (/.f64 (*.f64 1/2 (sqrt.f64 2)) (sqrt.f64 -3))) v) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3)))))) |
(fma.f64 1/4 (*.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (fma.f64 1/4 (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2 (*.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v) (*.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 -3) (pow.f64 v 3))) (sqrt.f64 2)))) |
(fma.f64 1/4 (*.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 (/.f64 -1/2 (sqrt.f64 -3)) (sqrt.f64 2)))) (fma.f64 1/4 (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 11/24) v) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) -1/4))))) |
(+.f64 (*.f64 1/4 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))))) |
(fma.f64 1/4 (*.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (fma.f64 1/4 (/.f64 (fma.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3)) (fma.f64 1/4 (/.f64 (fma.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (/.f64 (*.f64 1/2 (sqrt.f64 2)) (sqrt.f64 -3))) v) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3))))))) |
(fma.f64 1/4 (*.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (fma.f64 1/4 (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (*.f64 1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (pow.f64 v 3)) (fma.f64 1/4 (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2 (*.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v) (*.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 -3) (pow.f64 v 3))) (sqrt.f64 2))))) |
(fma.f64 1/4 (*.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 (/.f64 -1/2 (sqrt.f64 -3)) (sqrt.f64 2)))) (fma.f64 1/4 (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/24)) (pow.f64 v 3)) (fma.f64 1/4 (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 11/24) v) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) -1/4)))))) |
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) -1/4))) (*.f64 1/4 (+.f64 (+.f64 (*.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 (/.f64 -1/2 (sqrt.f64 -3)) (sqrt.f64 2)))) (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (*.f64 (/.f64 1/24 (sqrt.f64 -3)) (sqrt.f64 2))) (pow.f64 v 3))) (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 11/24) v)))) |
(*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))) |
(*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3)))) |
(*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (*.f64 1/4 (sqrt.f64 -3)))) |
(+.f64 (*.f64 -1/4 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))) |
(fma.f64 -1/4 (*.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3))))) |
(fma.f64 (*.f64 v -1/4) (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3))))) |
(fma.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3))) (*.f64 (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 (/.f64 -1/2 (sqrt.f64 -3)) (sqrt.f64 2))) (*.f64 v -1/4))) |
(+.f64 (*.f64 -1/4 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))) |
(fma.f64 -1/4 (*.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (fma.f64 -1/4 (/.f64 (fma.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (/.f64 (*.f64 1/2 (sqrt.f64 2)) (sqrt.f64 -3))) v) (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3)))))) |
(fma.f64 -1/4 (*.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (fma.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3))) (*.f64 -1/4 (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2 (*.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)))) |
(fma.f64 -1/4 (*.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 (/.f64 -1/2 (sqrt.f64 -3)) (sqrt.f64 2)))) (fma.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3))) (*.f64 (/.f64 -1/4 v) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 11/24)))) |
(+.f64 (*.f64 -1/4 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))))) |
(fma.f64 -1/4 (*.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (fma.f64 -1/4 (/.f64 (fma.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3)) (fma.f64 -1/4 (/.f64 (fma.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (/.f64 (*.f64 1/2 (sqrt.f64 2)) (sqrt.f64 -3))) v) (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3))))))) |
(fma.f64 -1/4 (*.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (fma.f64 -1/4 (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (*.f64 1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (pow.f64 v 3)) (fma.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3))) (*.f64 -1/4 (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2 (*.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v))))) |
(fma.f64 -1/4 (*.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 (/.f64 -1/2 (sqrt.f64 -3)) (sqrt.f64 2)))) (fma.f64 -1/4 (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/24)) (pow.f64 v 3)) (fma.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3))) (*.f64 (/.f64 -1/4 v) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 11/24))))) |
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (*.f64 1/4 (sqrt.f64 -3)))) (*.f64 -1/4 (+.f64 (+.f64 (*.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 (/.f64 -1/2 (sqrt.f64 -3)) (sqrt.f64 2)))) (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (*.f64 (/.f64 1/24 (sqrt.f64 -3)) (sqrt.f64 2))) (pow.f64 v 3))) (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 11/24) v)))) |
1 |
(+.f64 1 (*.f64 -3/2 (pow.f64 v 2))) |
(+.f64 1 (*.f64 (*.f64 v v) -3/2)) |
(fma.f64 (*.f64 v v) -3/2 1) |
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 v 2)) (*.f64 -9/8 (pow.f64 v 4)))) |
(+.f64 1 (fma.f64 -3/2 (*.f64 v v) (*.f64 (pow.f64 v 4) -9/8))) |
(+.f64 1 (fma.f64 (*.f64 v v) -3/2 (*.f64 (pow.f64 v 4) -9/8))) |
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 v 2)) (+.f64 (*.f64 -27/16 (pow.f64 v 6)) (*.f64 -9/8 (pow.f64 v 4))))) |
(+.f64 1 (fma.f64 -3/2 (*.f64 v v) (fma.f64 -27/16 (pow.f64 v 6) (*.f64 (pow.f64 v 4) -9/8)))) |
(+.f64 (fma.f64 (*.f64 v v) -3/2 1) (fma.f64 (pow.f64 v 4) -9/8 (*.f64 (pow.f64 v 6) -27/16))) |
(*.f64 v (sqrt.f64 -3)) |
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 v (sqrt.f64 -3))) |
(+.f64 (*.f64 v (sqrt.f64 -3)) (/.f64 1/2 (*.f64 v (sqrt.f64 -3)))) |
(fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) |
(-.f64 (+.f64 (*.f64 v (sqrt.f64 -3)) (/.f64 1/2 (*.f64 v (sqrt.f64 -3)))) (/.f64 1/8 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) |
(+.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3)))) (/.f64 -1/8 (*.f64 (sqrt.f64 -3) (*.f64 -3 (pow.f64 v 3))))) |
(+.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3)))) (/.f64 1/24 (*.f64 (sqrt.f64 -3) (pow.f64 v 3)))) |
(+.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/24 (sqrt.f64 -3)) (pow.f64 v 3)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (*.f64 v (sqrt.f64 -3)))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) |
(-.f64 (+.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (+.f64 (*.f64 v (sqrt.f64 -3)) (/.f64 1/16 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))))) (/.f64 1/8 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) |
(+.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (-.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/16 (pow.f64 v 5)) (pow.f64 (sqrt.f64 -3) 5))) (/.f64 (/.f64 1/8 (pow.f64 v 3)) (*.f64 (sqrt.f64 -3) -3)))) |
(+.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3)))) (-.f64 (/.f64 1/16 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))) (/.f64 -1/24 (*.f64 (sqrt.f64 -3) (pow.f64 v 3))))) |
(+.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3)))) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5))) (/.f64 (/.f64 1/24 (sqrt.f64 -3)) (pow.f64 v 3)))) |
(*.f64 -1 (*.f64 v (sqrt.f64 -3))) |
(neg.f64 (*.f64 v (sqrt.f64 -3))) |
(*.f64 (sqrt.f64 -3) (neg.f64 v)) |
(-.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3))))) |
(-.f64 (neg.f64 (*.f64 v (sqrt.f64 -3))) (/.f64 1/2 (*.f64 v (sqrt.f64 -3)))) |
(neg.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3))))) |
(-.f64 (/.f64 -1/2 (*.f64 v (sqrt.f64 -3))) (*.f64 v (sqrt.f64 -3))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3))))) |
(-.f64 (fma.f64 -1 (*.f64 v (sqrt.f64 -3)) (/.f64 1/8 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (/.f64 1/2 (*.f64 v (sqrt.f64 -3)))) |
(+.f64 (/.f64 (/.f64 1/8 (pow.f64 v 3)) (*.f64 (sqrt.f64 -3) -3)) (neg.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3)))))) |
(-.f64 (/.f64 -1/24 (*.f64 (sqrt.f64 -3) (pow.f64 v 3))) (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3))))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))))) |
(-.f64 (fma.f64 -1 (*.f64 v (sqrt.f64 -3)) (/.f64 1/8 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (/.f64 1/16 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))))) |
(+.f64 (-.f64 (/.f64 (/.f64 1/8 (pow.f64 v 3)) (*.f64 (sqrt.f64 -3) -3)) (*.f64 v (sqrt.f64 -3))) (-.f64 (/.f64 -1/2 (*.f64 v (sqrt.f64 -3))) (/.f64 (/.f64 1/16 (pow.f64 v 5)) (pow.f64 (sqrt.f64 -3) 5)))) |
(+.f64 (-.f64 (/.f64 -1/24 (*.f64 (sqrt.f64 -3) (pow.f64 v 3))) (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3))))) (/.f64 -1/16 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) |
(+.f64 (-.f64 (/.f64 -1/24 (*.f64 (sqrt.f64 -3) (pow.f64 v 3))) (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3))))) (/.f64 -1/16 (*.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5)))) |
Compiled 8436 to 6539 computations (22.5% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 329 | 4 | 333 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 330 | 5 | 335 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (*.f64 (/.f64 (sqrt.f64 2) (/.f64 4 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)))) (-.f64 1 (*.f64 v v))) |
| ▶ | 0.3b | (*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -5/8))) |
| ▶ | 0.3b | (*.f64 (*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -3/8))) (-.f64 1 (*.f64 v v))) |
| ✓ | 0.0b | (*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v))) |
| ▶ | 0.0b | (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (-.f64 1 (*.f64 v v))) |
Compiled 83 to 61 computations (26.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -5/8))) |
| ✓ | 0.2b | (*.f64 (*.f64 v v) -5/8) |
Compiled 32 to 20 computations (37.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | v | @ | 0 | (*.f64 (*.f64 v v) -5/8) |
| 1.0ms | v | @ | inf | (*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -5/8))) |
| 1.0ms | v | @ | inf | (*.f64 (*.f64 v v) -5/8) |
| 1.0ms | v | @ | 0 | (*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -5/8))) |
| 0.0ms | v | @ | -inf | (*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -5/8))) |
| 1× | batch-egg-rewrite |
| 458× | log-prod_binary64 |
| 396× | prod-exp_binary64 |
| 354× | prod-diff_binary64 |
| 344× | exp-prod_binary64 |
| 301× | pow-prod-down_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 22 |
| 1 | 220 | 20 |
| 2 | 2688 | 20 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 v v) -5/8) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -5/8))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 v (*.f64 v -5/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 v) (*.f64 v -5/8))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 v) (*.f64 v -5/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 v) (*.f64 v -5/8)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 v) (*.f64 v -5/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 v (*.f64 v -5/8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (*.f64 v -5/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 v 4) 25/64) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 v (*.f64 v -5/8))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (sqrt.f64 -5/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 v 6) -125/512) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 v (*.f64 v -5/8))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 v (*.f64 v -5/8)))) 2)) (cbrt.f64 (log.f64 (*.f64 v (*.f64 v -5/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 v (*.f64 v -5/8))))) (sqrt.f64 (log.f64 (*.f64 v (*.f64 v -5/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 v 4) 25/64))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 v) (*.f64 v -5/8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 v (*.f64 v -5/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 v 6) -125/512))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 v (*.f64 v -5/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 v (*.f64 v -5/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 v (*.f64 v -5/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 v (*.f64 v -5/8))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 v (*.f64 v -5/8)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 v (sqrt.f64 -5/8))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 v 6) -125/512)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 v (*.f64 v -5/8))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 v (*.f64 v -5/8))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 v) 1) (log.f64 (*.f64 v -5/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 v -5/8)) (*.f64 (log.f64 v) 1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) 1/4) 1) (*.f64 (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 v (*.f64 v -5/8) 1/4)) (sqrt.f64 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 v (*.f64 v -5/8) 1/4)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 v (*.f64 v -5/8) 1/4)) (sqrt.f64 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 v (*.f64 v -5/8) 1/4)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 2) 1/4) 3) (*.f64 (pow.f64 2 3/2) (*.f64 (pow.f64 v 6) -125/512))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 2) 1/4) 2) (-.f64 (pow.f64 (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) 2) (*.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 2) 1/4) 2) (pow.f64 (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) 2)) (-.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 v 6) -125/512 1/64) (sqrt.f64 2)) (fma.f64 (*.f64 v (*.f64 v -5/8)) (fma.f64 v (*.f64 v -5/8) -1/4) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/16 (*.f64 (pow.f64 v 4) 25/64)) (sqrt.f64 2)) (-.f64 1/4 (*.f64 v (*.f64 v -5/8))))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4)))) 2)) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4))))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (pow.f64 (fma.f64 v (*.f64 v -5/8) 1/4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 v (*.f64 v -5/8) 1/4)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 1) 1/2) (log.f64 (fma.f64 v (*.f64 v -5/8) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (log.f64 (fma.f64 v (*.f64 v -5/8) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 (fma.f64 v (*.f64 v -5/8) 1/4)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 1) 1/2) (*.f64 (log.f64 (fma.f64 v (*.f64 v -5/8) 1/4)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (*.f64 (log.f64 (fma.f64 v (*.f64 v -5/8) 1/4)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 v (*.f64 v -5/8) 1/4)) 1) (log.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (fma.f64 v (*.f64 v -5/8) 1/4)) (*.f64 (log1p.f64 1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 v (*.f64 v -5/8) 1/4)) 1) (*.f64 (log1p.f64 1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (fma.f64 v (*.f64 v -5/8) 1/4)) (*.f64 (log.f64 (sqrt.f64 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 v (*.f64 v -5/8) 1/4)) 1) (*.f64 (log.f64 (sqrt.f64 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 v (*.f64 (*.f64 v -5/8) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -5/8 (*.f64 (*.f64 v v) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v (*.f64 v -5/8)) (sqrt.f64 2) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 2) (*.f64 v (*.f64 v -5/8)) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 2) 1/4 (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (sqrt.f64 2) 1/4) (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 v 4) 25/64)) (*.f64 (cbrt.f64 (*.f64 v (*.f64 v -5/8))) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 2) (*.f64 (pow.f64 2 1/6) 1/4) (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 2) (*.f64 (pow.f64 2 1/6) (*.f64 v (*.f64 v -5/8))) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v (sqrt.f64 -5/8)) (*.f64 (*.f64 v (sqrt.f64 -5/8)) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) 1/4) (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (*.f64 v (*.f64 v -5/8))) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2) 1/4) 1 (*.f64 (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) 1/4)) 2) (cbrt.f64 (*.f64 (sqrt.f64 2) 1/4)) (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2)))) 2) (cbrt.f64 (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2)))) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) 1/4)) (sqrt.f64 (*.f64 (sqrt.f64 2) 1/4)) (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 v (sqrt.f64 -5/8)) (pow.f64 2 1/4)) (*.f64 (*.f64 v (sqrt.f64 -5/8)) (pow.f64 2 1/4)) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 v (*.f64 v -5/8)) (cbrt.f64 2)) (pow.f64 2 1/6) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 v (*.f64 v -5/8)) (pow.f64 2 1/4)) (pow.f64 2 1/4) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/4 (cbrt.f64 2)) (pow.f64 2 1/6) (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/4 (pow.f64 2 1/4)) (pow.f64 2 1/4) (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2) v) (*.f64 v -5/8) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2) (*.f64 v v)) -5/8 (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2) -5/8) (*.f64 v v) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 (pow.f64 v 4) 25/64))) (cbrt.f64 (*.f64 v (*.f64 v -5/8))) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -5/8))) (*.f64 v (sqrt.f64 -5/8)) (*.f64 (sqrt.f64 2) 1/4)))))) |
| 1× | egg-herbie |
| 2020× | unswap-sqr_binary64 |
| 1080× | sqr-pow_binary64 |
| 636× | fabs-mul_binary64 |
| 612× | pow-sqr_binary64 |
| 610× | cube-prod_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 276 |
| 1 | 25 | 276 |
| 2 | 51 | 249 |
| 3 | 108 | 231 |
| 4 | 294 | 231 |
| 5 | 900 | 231 |
| 6 | 1179 | 231 |
| 7 | 1595 | 231 |
| 8 | 1695 | 231 |
| 9 | 1830 | 231 |
| 10 | 1999 | 231 |
| 11 | 2242 | 231 |
| 12 | 2557 | 231 |
| 13 | 2929 | 231 |
| 14 | 3383 | 231 |
| 15 | 3968 | 231 |
| 16 | 4676 | 231 |
| 17 | 5536 | 231 |
| 18 | 5962 | 231 |
| 19 | 6278 | 231 |
| 20 | 6584 | 231 |
| 21 | 6664 | 231 |
| 22 | 6700 | 231 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -5/8 (pow.f64 v 2)) |
(*.f64 -5/8 (pow.f64 v 2)) |
(*.f64 -5/8 (pow.f64 v 2)) |
(*.f64 -5/8 (pow.f64 v 2)) |
(*.f64 -5/8 (pow.f64 v 2)) |
(*.f64 -5/8 (pow.f64 v 2)) |
(*.f64 -5/8 (pow.f64 v 2)) |
(*.f64 -5/8 (pow.f64 v 2)) |
(*.f64 -5/8 (pow.f64 v 2)) |
(*.f64 -5/8 (pow.f64 v 2)) |
(*.f64 -5/8 (pow.f64 v 2)) |
(*.f64 -5/8 (pow.f64 v 2)) |
(*.f64 1/4 (sqrt.f64 2)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
| Outputs |
|---|
(*.f64 -5/8 (pow.f64 v 2)) |
(*.f64 -5/8 (*.f64 v v)) |
(*.f64 -5/8 (pow.f64 v 2)) |
(*.f64 -5/8 (*.f64 v v)) |
(*.f64 -5/8 (pow.f64 v 2)) |
(*.f64 -5/8 (*.f64 v v)) |
(*.f64 -5/8 (pow.f64 v 2)) |
(*.f64 -5/8 (*.f64 v v)) |
(*.f64 -5/8 (pow.f64 v 2)) |
(*.f64 -5/8 (*.f64 v v)) |
(*.f64 -5/8 (pow.f64 v 2)) |
(*.f64 -5/8 (*.f64 v v)) |
(*.f64 -5/8 (pow.f64 v 2)) |
(*.f64 -5/8 (*.f64 v v)) |
(*.f64 -5/8 (pow.f64 v 2)) |
(*.f64 -5/8 (*.f64 v v)) |
(*.f64 -5/8 (pow.f64 v 2)) |
(*.f64 -5/8 (*.f64 v v)) |
(*.f64 -5/8 (pow.f64 v 2)) |
(*.f64 -5/8 (*.f64 v v)) |
(*.f64 -5/8 (pow.f64 v 2)) |
(*.f64 -5/8 (*.f64 v v)) |
(*.f64 -5/8 (pow.f64 v 2)) |
(*.f64 -5/8 (*.f64 v v)) |
(*.f64 1/4 (sqrt.f64 2)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -5/8 (*.f64 (*.f64 v v) (sqrt.f64 2)))) |
(fma.f64 -5/8 (*.f64 (*.f64 v v) (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 -5/8 (*.f64 v v)))) |
(*.f64 (sqrt.f64 2) (fma.f64 -5/8 (*.f64 v v) 1/4)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -5/8 (*.f64 (*.f64 v v) (sqrt.f64 2)))) |
(fma.f64 -5/8 (*.f64 (*.f64 v v) (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 -5/8 (*.f64 v v)))) |
(*.f64 (sqrt.f64 2) (fma.f64 -5/8 (*.f64 v v) 1/4)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -5/8 (*.f64 (*.f64 v v) (sqrt.f64 2)))) |
(fma.f64 -5/8 (*.f64 (*.f64 v v) (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 -5/8 (*.f64 v v)))) |
(*.f64 (sqrt.f64 2) (fma.f64 -5/8 (*.f64 v v) 1/4)) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(*.f64 -5/8 (*.f64 (*.f64 v v) (sqrt.f64 2))) |
(*.f64 -5/8 (*.f64 v (*.f64 v (sqrt.f64 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -5/8 (*.f64 (*.f64 v v) (sqrt.f64 2)))) |
(fma.f64 -5/8 (*.f64 (*.f64 v v) (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 -5/8 (*.f64 v v)))) |
(*.f64 (sqrt.f64 2) (fma.f64 -5/8 (*.f64 v v) 1/4)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -5/8 (*.f64 (*.f64 v v) (sqrt.f64 2)))) |
(fma.f64 -5/8 (*.f64 (*.f64 v v) (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 -5/8 (*.f64 v v)))) |
(*.f64 (sqrt.f64 2) (fma.f64 -5/8 (*.f64 v v) 1/4)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -5/8 (*.f64 (*.f64 v v) (sqrt.f64 2)))) |
(fma.f64 -5/8 (*.f64 (*.f64 v v) (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 -5/8 (*.f64 v v)))) |
(*.f64 (sqrt.f64 2) (fma.f64 -5/8 (*.f64 v v) 1/4)) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(*.f64 -5/8 (*.f64 (*.f64 v v) (sqrt.f64 2))) |
(*.f64 -5/8 (*.f64 v (*.f64 v (sqrt.f64 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -5/8 (*.f64 (*.f64 v v) (sqrt.f64 2)))) |
(fma.f64 -5/8 (*.f64 (*.f64 v v) (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 -5/8 (*.f64 v v)))) |
(*.f64 (sqrt.f64 2) (fma.f64 -5/8 (*.f64 v v) 1/4)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -5/8 (*.f64 (*.f64 v v) (sqrt.f64 2)))) |
(fma.f64 -5/8 (*.f64 (*.f64 v v) (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 -5/8 (*.f64 v v)))) |
(*.f64 (sqrt.f64 2) (fma.f64 -5/8 (*.f64 v v) 1/4)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -5/8 (*.f64 (*.f64 v v) (sqrt.f64 2)))) |
(fma.f64 -5/8 (*.f64 (*.f64 v v) (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 -5/8 (*.f64 v v)))) |
(*.f64 (sqrt.f64 2) (fma.f64 -5/8 (*.f64 v v) 1/4)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) |
| ✓ | 0.0b | (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (-.f64 1 (*.f64 v v))) |
Compiled 51 to 30 computations (41.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | v | @ | inf | (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (-.f64 1 (*.f64 v v))) |
| 2.0ms | v | @ | 0 | (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (-.f64 1 (*.f64 v v))) |
| 1.0ms | v | @ | inf | (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) |
| 1.0ms | v | @ | -inf | (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (-.f64 1 (*.f64 v v))) |
| 1.0ms | v | @ | -inf | (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) |
| 1× | batch-egg-rewrite |
| 470× | log-prod_binary64 |
| 392× | prod-exp_binary64 |
| 353× | exp-prod_binary64 |
| 295× | pow-prod-down_binary64 |
| 265× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 35 |
| 1 | 230 | 35 |
| 2 | 2693 | 35 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (-.f64 1 (*.f64 v v))) |
(sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) |
| Outputs |
|---|
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(2) ((x fma.f64 1 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) 1 (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) 1 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) 1/2) (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/6) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) 1/2) (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/6) (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/6) (*.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) 1/2) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/6) (*.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) 1/2) (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/4) (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/4) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/4) (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/4) (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (sqrt.f64 1/8) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (sqrt.f64 1/8) (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 1/8) (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 1/8) (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 v (neg.f64 v)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) 1/2) (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/6) (*.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/4) (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (sqrt.f64 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/8) (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 2) 1/64) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) 1/2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))) 1) 1)))))) |
| 1× | egg-herbie |
| 603× | distribute-rgt-out_binary64 |
| 476× | distribute-lft-out_binary64 |
| 380× | associate-*l*_binary64 |
| 353× | associate-*r*_binary64 |
| 341× | associate-+l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 931 |
| 1 | 384 | 904 |
| 2 | 1378 | 845 |
| 3 | 5298 | 754 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 1/8) |
(+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 1/8)) (*.f64 -3/2 (sqrt.f64 1/8)))) (sqrt.f64 1/8)) |
(+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 1/8)) (*.f64 -3/2 (sqrt.f64 1/8)))) (+.f64 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 3/2 (sqrt.f64 1/8)) (*.f64 -9/8 (sqrt.f64 1/8)))) (sqrt.f64 1/8))) |
(+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 1/8)) (*.f64 -3/2 (sqrt.f64 1/8)))) (+.f64 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 3/2 (sqrt.f64 1/8)) (*.f64 -9/8 (sqrt.f64 1/8)))) (+.f64 (*.f64 (pow.f64 v 6) (+.f64 (*.f64 -27/16 (sqrt.f64 1/8)) (*.f64 9/8 (sqrt.f64 1/8)))) (sqrt.f64 1/8)))) |
(*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (*.f64 (+.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 1/8) (*.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v) (*.f64 1/2 (/.f64 (sqrt.f64 1/8) (*.f64 v (sqrt.f64 -3))))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (+.f64 (*.f64 -1/16 (/.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 1/8) (*.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v) (*.f64 1/2 (/.f64 (sqrt.f64 1/8) (*.f64 v (sqrt.f64 -3))))))))) |
(*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8))) |
(+.f64 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8))) (*.f64 -1 (*.f64 v (+.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v)) (+.f64 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8))) (*.f64 -1 (*.f64 v (+.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/16 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 5))) (*.f64 -1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 v 3))) (+.f64 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8))) (*.f64 -1 (*.f64 v (+.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))))))) |
(sqrt.f64 1/8) |
(+.f64 (*.f64 -3/2 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)) |
(+.f64 (*.f64 -9/8 (*.f64 (pow.f64 v 4) (sqrt.f64 1/8))) (+.f64 (*.f64 -3/2 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))) |
(+.f64 (*.f64 -9/8 (*.f64 (pow.f64 v 4) (sqrt.f64 1/8))) (+.f64 (*.f64 -3/2 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (+.f64 (*.f64 -27/16 (*.f64 (pow.f64 v 6) (sqrt.f64 1/8))) (sqrt.f64 1/8)))) |
(*.f64 v (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8))) |
(+.f64 (*.f64 v (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8))) (*.f64 1/2 (/.f64 (sqrt.f64 1/8) (*.f64 v (sqrt.f64 -3))))) |
(+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 v (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8))) (*.f64 1/2 (/.f64 (sqrt.f64 1/8) (*.f64 v (sqrt.f64 -3)))))) |
(+.f64 (*.f64 1/16 (/.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 v (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8))) (*.f64 1/2 (/.f64 (sqrt.f64 1/8) (*.f64 v (sqrt.f64 -3))))))) |
(*.f64 -1 (*.f64 v (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) |
(+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (*.f64 v (sqrt.f64 -3)))) (*.f64 -1 (*.f64 v (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8))))) |
(+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (*.f64 -1 (*.f64 v (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))))) |
(+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 -1 (*.f64 v (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (*.f64 -1/16 (/.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))))))) |
| Outputs |
|---|
(sqrt.f64 1/8) |
(+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 1/8)) (*.f64 -3/2 (sqrt.f64 1/8)))) (sqrt.f64 1/8)) |
(fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 1/8) -5/2) (sqrt.f64 1/8)) |
(+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 1/8)) (*.f64 -3/2 (sqrt.f64 1/8)))) (+.f64 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 3/2 (sqrt.f64 1/8)) (*.f64 -9/8 (sqrt.f64 1/8)))) (sqrt.f64 1/8))) |
(fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 1/8) -5/2) (fma.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 1/8) 3/8) (sqrt.f64 1/8))) |
(+.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (+.f64 (*.f64 (*.f64 v v) -5/2) (*.f64 (pow.f64 v 4) 3/8)))) |
(+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 1/8)) (*.f64 -3/2 (sqrt.f64 1/8)))) (+.f64 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 3/2 (sqrt.f64 1/8)) (*.f64 -9/8 (sqrt.f64 1/8)))) (+.f64 (*.f64 (pow.f64 v 6) (+.f64 (*.f64 -27/16 (sqrt.f64 1/8)) (*.f64 9/8 (sqrt.f64 1/8)))) (sqrt.f64 1/8)))) |
(fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 1/8) -5/2) (fma.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 1/8) 3/8) (fma.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 1/8) -9/16) (sqrt.f64 1/8)))) |
(+.f64 (fma.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 1/8) -9/16) (sqrt.f64 1/8)) (*.f64 (sqrt.f64 1/8) (+.f64 (*.f64 (*.f64 v v) -5/2) (*.f64 (pow.f64 v 4) 3/8)))) |
(+.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (+.f64 (+.f64 (*.f64 (pow.f64 v 4) 3/8) (*.f64 (pow.f64 v 6) -9/16)) (*.f64 (*.f64 v v) -5/2)))) |
(*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) |
(neg.f64 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) |
(*.f64 (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (neg.f64 (pow.f64 v 3))) |
(*.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (neg.f64 (sqrt.f64 -3)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (*.f64 (+.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v)) |
(fma.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) (*.f64 v (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (/.f64 (*.f64 -1/2 (sqrt.f64 1/8)) (sqrt.f64 -3))))) |
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(sqrt.f64 1/8) |
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(+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (*.f64 v (sqrt.f64 -3)))) (*.f64 -1 (*.f64 v (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8))))) |
(fma.f64 -1/2 (/.f64 (/.f64 (sqrt.f64 1/8) v) (sqrt.f64 -3)) (neg.f64 (*.f64 v (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))) |
(fma.f64 -1/2 (/.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) v) (*.f64 (*.f64 (neg.f64 v) (sqrt.f64 1/8)) (sqrt.f64 -3))) |
(-.f64 (*.f64 -1/2 (/.f64 (/.f64 (sqrt.f64 1/8) v) (sqrt.f64 -3))) (*.f64 v (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) |
(*.f64 (sqrt.f64 1/8) (-.f64 (/.f64 -1/2 (*.f64 v (sqrt.f64 -3))) (*.f64 v (sqrt.f64 -3)))) |
(+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (*.f64 -1 (*.f64 v (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))))) |
(fma.f64 -1/2 (/.f64 (/.f64 (sqrt.f64 1/8) v) (sqrt.f64 -3)) (fma.f64 1/8 (/.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 v 3)) (pow.f64 (sqrt.f64 -3) 3)) (neg.f64 (*.f64 v (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))) |
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) v) (/.f64 (*.f64 -1/24 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) (pow.f64 v 3))) (*.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 1/8) v))) |
(fma.f64 -1/2 (/.f64 (/.f64 (sqrt.f64 1/8) v) (sqrt.f64 -3)) (fma.f64 (/.f64 -1/24 (sqrt.f64 -3)) (/.f64 (sqrt.f64 1/8) (pow.f64 v 3)) (*.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 1/8) (neg.f64 v))))) |
(-.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) v) (+.f64 -1/2 (/.f64 -1/24 (*.f64 v v)))) (*.f64 (sqrt.f64 1/8) (*.f64 v (sqrt.f64 -3)))) |
(+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 -1 (*.f64 v (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (*.f64 -1/16 (/.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))))))) |
(fma.f64 -1/2 (/.f64 (/.f64 (sqrt.f64 1/8) v) (sqrt.f64 -3)) (fma.f64 1/8 (/.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 v 3)) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 -1 (*.f64 v (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) (*.f64 -1/16 (/.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 v 5)) (pow.f64 (sqrt.f64 -3) 5)))))) |
(+.f64 (-.f64 (fma.f64 -1/2 (/.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) v) (/.f64 (*.f64 -1/24 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) (pow.f64 v 3))) (*.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 1/8) v))) (*.f64 (/.f64 -1/16 (pow.f64 (sqrt.f64 -3) 5)) (/.f64 (sqrt.f64 1/8) (pow.f64 v 5)))) |
(+.f64 (fma.f64 -1/2 (/.f64 (/.f64 (sqrt.f64 1/8) v) (sqrt.f64 -3)) (fma.f64 (/.f64 -1/24 (sqrt.f64 -3)) (/.f64 (sqrt.f64 1/8) (pow.f64 v 3)) (*.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 1/8) (neg.f64 v))))) (*.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 v 5)) (/.f64 -1/16 (pow.f64 (sqrt.f64 -3) 5)))) |
(+.f64 (*.f64 (sqrt.f64 1/8) (-.f64 (/.f64 -1/16 (*.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5))) (*.f64 v (sqrt.f64 -3)))) (*.f64 (/.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) v) (+.f64 -1/2 (/.f64 -1/24 (*.f64 v v))))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -3/8))) (-.f64 1 (*.f64 v v))) |
| ✓ | 0.0b | (*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -3/8))) |
| ✓ | 0.1b | (*.f64 (*.f64 v v) -3/8) |
Compiled 54 to 33 computations (38.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 53.0ms | v | @ | -inf | (*.f64 (*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -3/8))) (-.f64 1 (*.f64 v v))) |
| 1.0ms | v | @ | inf | (*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -3/8))) |
| 1.0ms | v | @ | inf | (*.f64 (*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -3/8))) (-.f64 1 (*.f64 v v))) |
| 1.0ms | v | @ | inf | (*.f64 (*.f64 v v) -3/8) |
| 1.0ms | v | @ | 0 | (*.f64 (*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -3/8))) (-.f64 1 (*.f64 v v))) |
| 1× | batch-egg-rewrite |
| 632× | log-prod_binary64 |
| 510× | prod-diff_binary64 |
| 341× | pow2_binary64 |
| 311× | fma-def_binary64 |
| 237× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 46 |
| 1 | 288 | 42 |
| 2 | 3669 | 42 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 v v) -3/8) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -3/8))) |
(*.f64 (*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -3/8))) (-.f64 1 (*.f64 v v))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 v (*.f64 v -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 v) (*.f64 v -3/8))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 v) (*.f64 v -3/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 v) (*.f64 v -3/8)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 v) (*.f64 v -3/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 v (*.f64 v -3/8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (*.f64 v -3/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 v (*.f64 v -3/8))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (sqrt.f64 -3/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -27/512 (pow.f64 v 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 v 4) 9/64))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 v) (*.f64 v -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 v (*.f64 v -3/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -27/512 (pow.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 v (*.f64 v -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 v (*.f64 v -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 v) (log.f64 -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 v) (log.f64 -3/8)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) 1/4) 1) (*.f64 (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 v (*.f64 v -3/8) 1/4)) (sqrt.f64 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 v (*.f64 v -3/8) 1/4)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 v (*.f64 v -3/8) 1/4)) (sqrt.f64 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 v (*.f64 v -3/8) 1/4)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 2) 1/4) 3) (pow.f64 (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2))) 3)) (+.f64 (pow.f64 (*.f64 (sqrt.f64 2) 1/4) 2) (-.f64 (pow.f64 (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2))) 2) (*.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 2) 1/4) 2) (pow.f64 (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2))) 2)) (-.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -27/512 (pow.f64 v 6) 1/64) (sqrt.f64 2)) (fma.f64 (*.f64 v (*.f64 v -3/8)) (fma.f64 v (*.f64 v -3/8) -1/4) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/16 (*.f64 (pow.f64 v 4) 9/64)) (sqrt.f64 2)) (+.f64 1/4 (*.f64 3/8 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (fma.f64 -27/512 (pow.f64 v 6) 1/64)) (fma.f64 (*.f64 v (*.f64 v -3/8)) (fma.f64 v (*.f64 v -3/8) -1/4) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (-.f64 1/16 (*.f64 (pow.f64 v 4) 9/64))) (+.f64 1/4 (*.f64 3/8 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (fma.f64 v (*.f64 v -3/8) 1/4) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 v (*.f64 v -3/8) 1/4) 3) (*.f64 2 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1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v v) (*.f64 -3/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3/8 (*.f64 (*.f64 v v) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v (*.f64 v -3/8)) (sqrt.f64 2) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 2) (*.f64 v (*.f64 v -3/8)) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 2) 1/4 (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/4 (sqrt.f64 2) (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (sqrt.f64 2) 1/4) (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 v 4) 9/64)) (*.f64 (cbrt.f64 (*.f64 v (*.f64 v -3/8))) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 v (*.f64 v -3/8))) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) 1/4) (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v (sqrt.f64 -3/8)) (*.f64 (*.f64 v (sqrt.f64 -3/8)) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (*.f64 v (*.f64 v -3/8))) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) 1/4) (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2) 1/4) 1 (*.f64 (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2)))) 2) (cbrt.f64 (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2)))) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) 1/4)) 2) (cbrt.f64 (*.f64 (sqrt.f64 2) 1/4)) (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2)))) (sqrt.f64 (*.f64 v (*.f64 (*.f64 v -3/8) 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| 1× | egg-herbie |
| 770× | unswap-sqr_binary64 |
| 748× | sqr-pow_binary64 |
| 702× | fma-def_binary64 |
| 602× | cube-prod_binary64 |
| 391× | pow-sqr_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 552 |
| 1 | 57 | 552 |
| 2 | 127 | 498 |
| 3 | 330 | 444 |
| 4 | 1146 | 432 |
| 5 | 2066 | 432 |
| 6 | 2696 | 432 |
| 7 | 2805 | 432 |
| 8 | 2913 | 432 |
| 9 | 3045 | 432 |
| 10 | 3238 | 432 |
| 11 | 3481 | 432 |
| 12 | 4915 | 432 |
| 13 | 5420 | 432 |
| 14 | 6094 | 432 |
| 15 | 6843 | 432 |
| 16 | 7778 | 432 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -3/8 (pow.f64 v 2)) |
(*.f64 -3/8 (pow.f64 v 2)) |
(*.f64 -3/8 (pow.f64 v 2)) |
(*.f64 -3/8 (pow.f64 v 2)) |
(*.f64 -3/8 (pow.f64 v 2)) |
(*.f64 -3/8 (pow.f64 v 2)) |
(*.f64 -3/8 (pow.f64 v 2)) |
(*.f64 -3/8 (pow.f64 v 2)) |
(*.f64 -3/8 (pow.f64 v 2)) |
(*.f64 -3/8 (pow.f64 v 2)) |
(*.f64 -3/8 (pow.f64 v 2)) |
(*.f64 -3/8 (pow.f64 v 2)) |
(*.f64 1/4 (sqrt.f64 2)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(*.f64 1/4 (sqrt.f64 2)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))) |
(+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))) |
(*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) |
(+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))) |
(*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) |
(+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))) |
| Outputs |
|---|
(*.f64 -3/8 (pow.f64 v 2)) |
(*.f64 -3/8 (*.f64 v v)) |
(*.f64 -3/8 (pow.f64 v 2)) |
(*.f64 -3/8 (*.f64 v v)) |
(*.f64 -3/8 (pow.f64 v 2)) |
(*.f64 -3/8 (*.f64 v v)) |
(*.f64 -3/8 (pow.f64 v 2)) |
(*.f64 -3/8 (*.f64 v v)) |
(*.f64 -3/8 (pow.f64 v 2)) |
(*.f64 -3/8 (*.f64 v v)) |
(*.f64 -3/8 (pow.f64 v 2)) |
(*.f64 -3/8 (*.f64 v v)) |
(*.f64 -3/8 (pow.f64 v 2)) |
(*.f64 -3/8 (*.f64 v v)) |
(*.f64 -3/8 (pow.f64 v 2)) |
(*.f64 -3/8 (*.f64 v v)) |
(*.f64 -3/8 (pow.f64 v 2)) |
(*.f64 -3/8 (*.f64 v v)) |
(*.f64 -3/8 (pow.f64 v 2)) |
(*.f64 -3/8 (*.f64 v v)) |
(*.f64 -3/8 (pow.f64 v 2)) |
(*.f64 -3/8 (*.f64 v v)) |
(*.f64 -3/8 (pow.f64 v 2)) |
(*.f64 -3/8 (*.f64 v v)) |
(*.f64 1/4 (sqrt.f64 2)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -3/8 (*.f64 (*.f64 v v) (sqrt.f64 2)))) |
(fma.f64 -3/8 (*.f64 (*.f64 v v) (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 -3/8 (*.f64 v v)))) |
(*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 -3/8 v) 1/4)) |
(*.f64 (sqrt.f64 2) (fma.f64 -3/8 (*.f64 v v) 1/4)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -3/8 (*.f64 (*.f64 v v) (sqrt.f64 2)))) |
(fma.f64 -3/8 (*.f64 (*.f64 v v) (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 -3/8 (*.f64 v v)))) |
(*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 -3/8 v) 1/4)) |
(*.f64 (sqrt.f64 2) (fma.f64 -3/8 (*.f64 v v) 1/4)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -3/8 (*.f64 (*.f64 v v) (sqrt.f64 2)))) |
(fma.f64 -3/8 (*.f64 (*.f64 v v) (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 -3/8 (*.f64 v v)))) |
(*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 -3/8 v) 1/4)) |
(*.f64 (sqrt.f64 2) (fma.f64 -3/8 (*.f64 v v) 1/4)) |
(*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(*.f64 -3/8 (*.f64 (*.f64 v v) (sqrt.f64 2))) |
(*.f64 -3/8 (*.f64 v (*.f64 v (sqrt.f64 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -3/8 (*.f64 (*.f64 v v) (sqrt.f64 2)))) |
(fma.f64 -3/8 (*.f64 (*.f64 v v) (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 -3/8 (*.f64 v v)))) |
(*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 -3/8 v) 1/4)) |
(*.f64 (sqrt.f64 2) (fma.f64 -3/8 (*.f64 v v) 1/4)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -3/8 (*.f64 (*.f64 v v) (sqrt.f64 2)))) |
(fma.f64 -3/8 (*.f64 (*.f64 v v) (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 -3/8 (*.f64 v v)))) |
(*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 -3/8 v) 1/4)) |
(*.f64 (sqrt.f64 2) (fma.f64 -3/8 (*.f64 v v) 1/4)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -3/8 (*.f64 (*.f64 v v) (sqrt.f64 2)))) |
(fma.f64 -3/8 (*.f64 (*.f64 v v) (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 -3/8 (*.f64 v v)))) |
(*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 -3/8 v) 1/4)) |
(*.f64 (sqrt.f64 2) (fma.f64 -3/8 (*.f64 v v) 1/4)) |
(*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(*.f64 -3/8 (*.f64 (*.f64 v v) (sqrt.f64 2))) |
(*.f64 -3/8 (*.f64 v (*.f64 v (sqrt.f64 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -3/8 (*.f64 (*.f64 v v) (sqrt.f64 2)))) |
(fma.f64 -3/8 (*.f64 (*.f64 v v) (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 -3/8 (*.f64 v v)))) |
(*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 -3/8 v) 1/4)) |
(*.f64 (sqrt.f64 2) (fma.f64 -3/8 (*.f64 v v) 1/4)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -3/8 (*.f64 (*.f64 v v) (sqrt.f64 2)))) |
(fma.f64 -3/8 (*.f64 (*.f64 v v) (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 -3/8 (*.f64 v v)))) |
(*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 -3/8 v) 1/4)) |
(*.f64 (sqrt.f64 2) (fma.f64 -3/8 (*.f64 v v) 1/4)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -3/8 (*.f64 (*.f64 v v) (sqrt.f64 2)))) |
(fma.f64 -3/8 (*.f64 (*.f64 v v) (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 -3/8 (*.f64 v v)))) |
(*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 -3/8 v) 1/4)) |
(*.f64 (sqrt.f64 2) (fma.f64 -3/8 (*.f64 v v) 1/4)) |
(*.f64 1/4 (sqrt.f64 2)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 (*.f64 v v) (sqrt.f64 2)) -5/8)) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -5/8))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -5/8))) |
(*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4)) |
(*.f64 (sqrt.f64 2) (fma.f64 (*.f64 v v) -5/8 1/4)) |
(+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))) |
(fma.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 (*.f64 v v) (sqrt.f64 2)) -5/8))) |
(fma.f64 1/4 (sqrt.f64 2) (fma.f64 (*.f64 (*.f64 v v) (sqrt.f64 2)) -5/8 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) 3/8)))) |
(fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -5/8) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 3/8 (pow.f64 v 4)) 1/4))) |
(*.f64 (sqrt.f64 2) (+.f64 (*.f64 v (*.f64 v -5/8)) (fma.f64 3/8 (pow.f64 v 4) 1/4))) |
(*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) (fma.f64 3/8 (pow.f64 v 4) 1/4))) |
(+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))) |
(fma.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 (*.f64 v v) (sqrt.f64 2)) -5/8))) |
(fma.f64 1/4 (sqrt.f64 2) (fma.f64 (*.f64 (*.f64 v v) (sqrt.f64 2)) -5/8 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) 3/8)))) |
(fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -5/8) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 3/8 (pow.f64 v 4)) 1/4))) |
(*.f64 (sqrt.f64 2) (+.f64 (*.f64 v (*.f64 v -5/8)) (fma.f64 3/8 (pow.f64 v 4) 1/4))) |
(*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) (fma.f64 3/8 (pow.f64 v 4) 1/4))) |
(*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) |
(*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) 3/8)) |
(*.f64 (sqrt.f64 2) (*.f64 3/8 (pow.f64 v 4))) |
(+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4)) (*.f64 (*.f64 (*.f64 v v) (sqrt.f64 2)) -5/8)) |
(fma.f64 (*.f64 (*.f64 v v) (sqrt.f64 2)) -5/8 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) 3/8))) |
(*.f64 (sqrt.f64 2) (+.f64 (*.f64 (*.f64 v v) -5/8) (*.f64 3/8 (pow.f64 v 4)))) |
(*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) (*.f64 3/8 (pow.f64 v 4)))) |
(*.f64 (*.f64 v (*.f64 v (sqrt.f64 2))) (fma.f64 v (*.f64 v 3/8) -5/8)) |
(*.f64 (sqrt.f64 2) (*.f64 v (fma.f64 v -5/8 (*.f64 3/8 (pow.f64 v 3))))) |
(*.f64 (sqrt.f64 2) (fma.f64 3/8 (pow.f64 v 4) (*.f64 v (*.f64 v -5/8)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))) |
(fma.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 (*.f64 v v) (sqrt.f64 2)) -5/8))) |
(fma.f64 1/4 (sqrt.f64 2) (fma.f64 (*.f64 (*.f64 v v) (sqrt.f64 2)) -5/8 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) 3/8)))) |
(fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -5/8) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 3/8 (pow.f64 v 4)) 1/4))) |
(*.f64 (sqrt.f64 2) (+.f64 (*.f64 v (*.f64 v -5/8)) (fma.f64 3/8 (pow.f64 v 4) 1/4))) |
(*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) (fma.f64 3/8 (pow.f64 v 4) 1/4))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))) |
(fma.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 (*.f64 v v) (sqrt.f64 2)) -5/8))) |
(fma.f64 1/4 (sqrt.f64 2) (fma.f64 (*.f64 (*.f64 v v) (sqrt.f64 2)) -5/8 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) 3/8)))) |
(fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -5/8) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 3/8 (pow.f64 v 4)) 1/4))) |
(*.f64 (sqrt.f64 2) (+.f64 (*.f64 v (*.f64 v -5/8)) (fma.f64 3/8 (pow.f64 v 4) 1/4))) |
(*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) (fma.f64 3/8 (pow.f64 v 4) 1/4))) |
(*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) |
(*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) 3/8)) |
(*.f64 (sqrt.f64 2) (*.f64 3/8 (pow.f64 v 4))) |
(+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4)) (*.f64 (*.f64 (*.f64 v v) (sqrt.f64 2)) -5/8)) |
(fma.f64 (*.f64 (*.f64 v v) (sqrt.f64 2)) -5/8 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) 3/8))) |
(*.f64 (sqrt.f64 2) (+.f64 (*.f64 (*.f64 v v) -5/8) (*.f64 3/8 (pow.f64 v 4)))) |
(*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) (*.f64 3/8 (pow.f64 v 4)))) |
(*.f64 (*.f64 v (*.f64 v (sqrt.f64 2))) (fma.f64 v (*.f64 v 3/8) -5/8)) |
(*.f64 (sqrt.f64 2) (*.f64 v (fma.f64 v -5/8 (*.f64 3/8 (pow.f64 v 3))))) |
(*.f64 (sqrt.f64 2) (fma.f64 3/8 (pow.f64 v 4) (*.f64 v (*.f64 v -5/8)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))) |
(fma.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 (*.f64 v v) (sqrt.f64 2)) -5/8))) |
(fma.f64 1/4 (sqrt.f64 2) (fma.f64 (*.f64 (*.f64 v v) (sqrt.f64 2)) -5/8 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) 3/8)))) |
(fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -5/8) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 3/8 (pow.f64 v 4)) 1/4))) |
(*.f64 (sqrt.f64 2) (+.f64 (*.f64 v (*.f64 v -5/8)) (fma.f64 3/8 (pow.f64 v 4) 1/4))) |
(*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) (fma.f64 3/8 (pow.f64 v 4) 1/4))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))) |
(fma.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 (*.f64 v v) (sqrt.f64 2)) -5/8))) |
(fma.f64 1/4 (sqrt.f64 2) (fma.f64 (*.f64 (*.f64 v v) (sqrt.f64 2)) -5/8 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) 3/8)))) |
(fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -5/8) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 3/8 (pow.f64 v 4)) 1/4))) |
(*.f64 (sqrt.f64 2) (+.f64 (*.f64 v (*.f64 v -5/8)) (fma.f64 3/8 (pow.f64 v 4) 1/4))) |
(*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) (fma.f64 3/8 (pow.f64 v 4) 1/4))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) |
| ✓ | 0.0b | (*.f64 (/.f64 (sqrt.f64 2) (/.f64 4 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)))) (-.f64 1 (*.f64 v v))) |
| ✓ | 0.0b | (/.f64 4 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))) |
| ✓ | 0.0b | (/.f64 (sqrt.f64 2) (/.f64 4 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)))) |
Compiled 68 to 44 computations (35.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | v | @ | inf | (/.f64 4 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))) |
| 1.0ms | v | @ | -inf | (/.f64 4 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))) |
| 1.0ms | v | @ | 0 | (/.f64 (sqrt.f64 2) (/.f64 4 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)))) |
| 1.0ms | v | @ | inf | (*.f64 (/.f64 (sqrt.f64 2) (/.f64 4 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)))) (-.f64 1 (*.f64 v v))) |
| 1.0ms | v | @ | 0 | (/.f64 4 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))) |
| 1× | batch-egg-rewrite |
| 652× | log-prod_binary64 |
| 352× | pow2_binary64 |
| 244× | pow1/3_binary64 |
| 239× | expm1-udef_binary64 |
| 239× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 68 |
| 1 | 303 | 64 |
| 2 | 3794 | 64 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sqrt.f64 2) (/.f64 4 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)))) |
(/.f64 4 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))) |
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 4 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)))) (-.f64 1 (*.f64 v v))) |
(sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) (cbrt.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))) (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/4) (pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 (*.f64 v (*.f64 v -3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (log1p.f64 (*.f64 v (*.f64 v -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 v (*.f64 v -3))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 v (*.f64 v -3)))) 1)))))) |
| 1× | egg-herbie |
| 703× | associate-*l*_binary64 |
| 623× | associate-*r*_binary64 |
| 473× | associate-/r*_binary64 |
| 354× | associate-+l+_binary64 |
| 285× | times-frac_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 210 | 1667 |
| 1 | 653 | 1611 |
| 2 | 2209 | 1507 |
| 3 | 7715 | 1507 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/4 (sqrt.f64 2)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 -9/32 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))) |
(+.f64 (*.f64 -9/32 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (*.f64 1/4 (sqrt.f64 2)) (+.f64 (*.f64 -27/64 (*.f64 (sqrt.f64 2) (pow.f64 v 6))) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))) |
(*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (*.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 -1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (*.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))) |
(+.f64 (*.f64 1/64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 -1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (*.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))))) |
(*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) |
(+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))) |
(+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (*.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))) |
(+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 -1/64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (*.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))))) |
4 |
(+.f64 4 (*.f64 6 (pow.f64 v 2))) |
(+.f64 4 (+.f64 (*.f64 27/2 (pow.f64 v 4)) (*.f64 6 (pow.f64 v 2)))) |
(+.f64 (*.f64 135/4 (pow.f64 v 6)) (+.f64 4 (+.f64 (*.f64 27/2 (pow.f64 v 4)) (*.f64 6 (pow.f64 v 2))))) |
(*.f64 4 (/.f64 (sqrt.f64 -1/3) v)) |
(-.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/3) v)) (*.f64 2/9 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/3))))) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 v 5) (sqrt.f64 -1/3)))) (*.f64 4 (/.f64 (sqrt.f64 -1/3) v))) (*.f64 2/9 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/3))))) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 v 5) (sqrt.f64 -1/3)))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/3) v)) (*.f64 -2 (/.f64 (+.f64 1/81 (*.f64 1/18 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))) (*.f64 (pow.f64 v 7) (sqrt.f64 -1/3)))))) (*.f64 2/9 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/3))))) |
(*.f64 -4 (/.f64 (sqrt.f64 -1/3) v)) |
(+.f64 (*.f64 -4 (/.f64 (sqrt.f64 -1/3) v)) (*.f64 2/9 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/3))))) |
(+.f64 (*.f64 -4 (/.f64 (sqrt.f64 -1/3) v)) (+.f64 (*.f64 2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 v 5) (sqrt.f64 -1/3)))) (*.f64 2/9 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/3)))))) |
(+.f64 (*.f64 -4 (/.f64 (sqrt.f64 -1/3) v)) (+.f64 (*.f64 2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 v 5) (sqrt.f64 -1/3)))) (+.f64 (*.f64 2 (/.f64 (+.f64 1/81 (*.f64 1/18 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))) (*.f64 (pow.f64 v 7) (sqrt.f64 -1/3)))) (*.f64 2/9 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/3))))))) |
(*.f64 1/4 (sqrt.f64 2)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 1/4 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 -9/8 (sqrt.f64 2)) (*.f64 3/2 (sqrt.f64 2))))) (*.f64 1/4 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2))))))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 -9/8 (sqrt.f64 2)) (*.f64 3/2 (sqrt.f64 2))))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2))))) (*.f64 1/4 (*.f64 (pow.f64 v 6) (+.f64 (*.f64 9/8 (sqrt.f64 2)) (*.f64 -27/16 (sqrt.f64 2)))))))) |
(*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))) |
(+.f64 (*.f64 1/4 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))) |
(+.f64 (*.f64 1/4 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))) |
(+.f64 (*.f64 1/4 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))))) |
(*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))) |
(+.f64 (*.f64 -1/4 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))) |
(+.f64 (*.f64 -1/4 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))) |
(+.f64 (*.f64 -1/4 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))))) |
1 |
(+.f64 1 (*.f64 -3/2 (pow.f64 v 2))) |
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 v 2)) (*.f64 -9/8 (pow.f64 v 4)))) |
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 v 2)) (+.f64 (*.f64 -27/16 (pow.f64 v 6)) (*.f64 -9/8 (pow.f64 v 4))))) |
(*.f64 v (sqrt.f64 -3)) |
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 v (sqrt.f64 -3))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (*.f64 v (sqrt.f64 -3)))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) |
(*.f64 -1 (*.f64 v (sqrt.f64 -3))) |
(-.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3))))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3))))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))))) |
| Outputs |
|---|
(*.f64 1/4 (sqrt.f64 2)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (*.f64 v v)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -3/8 (*.f64 v (*.f64 (sqrt.f64 2) v)))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 v (*.f64 v -3/8)))) |
(+.f64 (*.f64 -9/32 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))) |
(fma.f64 -9/32 (*.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (*.f64 v v))))) |
(fma.f64 -9/32 (*.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (*.f64 -3/8 (*.f64 v (*.f64 (sqrt.f64 2) v))))) |
(fma.f64 -9/32 (*.f64 (sqrt.f64 2) (pow.f64 v 4)) (*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 v (*.f64 v -3/8))))) |
(+.f64 (*.f64 -9/32 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (*.f64 1/4 (sqrt.f64 2)) (+.f64 (*.f64 -27/64 (*.f64 (sqrt.f64 2) (pow.f64 v 6))) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))) |
(fma.f64 -9/32 (*.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (fma.f64 -27/64 (*.f64 (sqrt.f64 2) (pow.f64 v 6)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (*.f64 v v)))))) |
(fma.f64 -9/32 (*.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (fma.f64 -3/8 (*.f64 v (*.f64 (sqrt.f64 2) v)) (*.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) -27/64))))) |
(+.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 v (*.f64 v -3/8)) (*.f64 -27/64 (pow.f64 v 6)))) (*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 -9/32 (pow.f64 v 4))))) |
(*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) |
(*.f64 1/4 (*.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 2) v))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (*.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))) |
(fma.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))) |
(fma.f64 1/4 (*.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 2) v)) (*.f64 1/8 (/.f64 (/.f64 (sqrt.f64 2) v) (sqrt.f64 -3)))) |
(fma.f64 1/4 (*.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 2) v)) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (/.f64 1/8 v))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 -1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (*.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))) |
(fma.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (fma.f64 -1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))) |
(fma.f64 1/4 (*.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 2) v)) (fma.f64 1/8 (/.f64 (/.f64 (sqrt.f64 2) v) (sqrt.f64 -3)) (*.f64 -1/32 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (*.f64 (sqrt.f64 -3) -3))))) |
(fma.f64 1/4 (*.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 2) v)) (fma.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3))) 1/96))) |
(+.f64 (*.f64 1/64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 -1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (*.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))))) |
(fma.f64 1/64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (fma.f64 -1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))))) |
(fma.f64 1/64 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (pow.f64 v 5)) (fma.f64 1/4 (*.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 2) v)) (fma.f64 1/8 (/.f64 (/.f64 (sqrt.f64 2) v) (sqrt.f64 -3)) (*.f64 -1/32 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (*.f64 (sqrt.f64 -3) -3)))))) |
(fma.f64 1/64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 1/4 (*.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 2) v)) (fma.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3))) 1/96)))) |
(*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) -1/4) |
(*.f64 (*.f64 v (sqrt.f64 -3)) (*.f64 (sqrt.f64 2) -1/4)) |
(*.f64 (sqrt.f64 2) (*.f64 v (*.f64 (sqrt.f64 -3) -1/4))) |
(+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))) |
(fma.f64 -1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) -1/4)) |
(fma.f64 (*.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 2) v)) -1/4 (/.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) v)) (sqrt.f64 -3))) |
(fma.f64 (*.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 2) v)) -1/4 (*.f64 (/.f64 (sqrt.f64 2) v) (/.f64 -1/8 (sqrt.f64 -3)))) |
(+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (*.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))) |
(fma.f64 -1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (fma.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) 1/32))) |
(fma.f64 (/.f64 (/.f64 (sqrt.f64 2) v) (sqrt.f64 -3)) -1/8 (fma.f64 (*.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 2) v)) -1/4 (*.f64 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (*.f64 (sqrt.f64 -3) -3)) 1/32))) |
(fma.f64 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) -1/8 (fma.f64 (*.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 2) v)) -1/4 (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (/.f64 -1/96 (sqrt.f64 -3))))) |
(+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 -1/64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (*.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))))) |
(fma.f64 -1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (fma.f64 -1/64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) 1/32)))) |
(fma.f64 (/.f64 (/.f64 (sqrt.f64 2) v) (sqrt.f64 -3)) -1/8 (fma.f64 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (pow.f64 v 5)) -1/64 (fma.f64 (*.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 2) v)) -1/4 (*.f64 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (*.f64 (sqrt.f64 -3) -3)) 1/32)))) |
(fma.f64 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) -1/8 (fma.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))) -1/64 (fma.f64 (*.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 2) v)) -1/4 (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (/.f64 -1/96 (sqrt.f64 -3)))))) |
4 |
(+.f64 4 (*.f64 6 (pow.f64 v 2))) |
(+.f64 4 (*.f64 (*.f64 v v) 6)) |
(fma.f64 (*.f64 v v) 6 4) |
(+.f64 4 (+.f64 (*.f64 27/2 (pow.f64 v 4)) (*.f64 6 (pow.f64 v 2)))) |
(+.f64 4 (fma.f64 27/2 (pow.f64 v 4) (*.f64 (*.f64 v v) 6))) |
(+.f64 4 (fma.f64 (pow.f64 v 4) 27/2 (*.f64 v (*.f64 v 6)))) |
(+.f64 (*.f64 135/4 (pow.f64 v 6)) (+.f64 4 (+.f64 (*.f64 27/2 (pow.f64 v 4)) (*.f64 6 (pow.f64 v 2))))) |
(fma.f64 135/4 (pow.f64 v 6) (+.f64 4 (fma.f64 27/2 (pow.f64 v 4) (*.f64 (*.f64 v v) 6)))) |
(+.f64 (fma.f64 (pow.f64 v 4) 27/2 (*.f64 v (*.f64 v 6))) (fma.f64 (pow.f64 v 6) 135/4 4)) |
(*.f64 4 (/.f64 (sqrt.f64 -1/3) v)) |
(/.f64 (*.f64 4 (sqrt.f64 -1/3)) v) |
(/.f64 4 (/.f64 v (sqrt.f64 -1/3))) |
(-.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/3) v)) (*.f64 2/9 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/3))))) |
(-.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/3) v)) (/.f64 2/9 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/3)))) |
(fma.f64 4 (/.f64 (sqrt.f64 -1/3) v) (/.f64 -2/9 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/3)))) |
(fma.f64 4 (/.f64 (sqrt.f64 -1/3) v) (/.f64 (/.f64 -2/9 (sqrt.f64 -1/3)) (pow.f64 v 3))) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 v 5) (sqrt.f64 -1/3)))) (*.f64 4 (/.f64 (sqrt.f64 -1/3) v))) (*.f64 2/9 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/3))))) |
(-.f64 (fma.f64 -2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 v 5) (sqrt.f64 -1/3))) (*.f64 4 (/.f64 (sqrt.f64 -1/3) v))) (/.f64 2/9 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/3)))) |
(fma.f64 -2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 v 5) (sqrt.f64 -1/3))) (fma.f64 4 (/.f64 (sqrt.f64 -1/3) v) (/.f64 -2/9 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/3))))) |
(fma.f64 -2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 v 5) (sqrt.f64 -1/3))) (fma.f64 4 (/.f64 (sqrt.f64 -1/3) v) (/.f64 (/.f64 -2/9 (sqrt.f64 -1/3)) (pow.f64 v 3)))) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 v 5) (sqrt.f64 -1/3)))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/3) v)) (*.f64 -2 (/.f64 (+.f64 1/81 (*.f64 1/18 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))) (*.f64 (pow.f64 v 7) (sqrt.f64 -1/3)))))) (*.f64 2/9 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/3))))) |
(-.f64 (fma.f64 -2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 v 5) (sqrt.f64 -1/3))) (fma.f64 4 (/.f64 (sqrt.f64 -1/3) v) (*.f64 -2 (/.f64 (+.f64 1/81 (*.f64 1/18 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))) (*.f64 (sqrt.f64 -1/3) (pow.f64 v 7)))))) (/.f64 2/9 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/3)))) |
(fma.f64 -2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 v 5) (sqrt.f64 -1/3))) (+.f64 (*.f64 (/.f64 -2 (pow.f64 v 7)) (/.f64 (fma.f64 1/18 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) -1/3) 1/81) (sqrt.f64 -1/3))) (fma.f64 4 (/.f64 (sqrt.f64 -1/3) v) (/.f64 -2/9 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/3)))))) |
(+.f64 (fma.f64 4 (/.f64 (sqrt.f64 -1/3) v) (/.f64 (/.f64 -2/9 (sqrt.f64 -1/3)) (pow.f64 v 3))) (*.f64 (/.f64 -2 (sqrt.f64 -1/3)) (+.f64 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (pow.f64 v 5)) (/.f64 (+.f64 1/81 (*.f64 -1/6 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)))) (pow.f64 v 7))))) |
(*.f64 -4 (/.f64 (sqrt.f64 -1/3) v)) |
(*.f64 (/.f64 (sqrt.f64 -1/3) v) -4) |
(/.f64 -4 (/.f64 v (sqrt.f64 -1/3))) |
(+.f64 (*.f64 -4 (/.f64 (sqrt.f64 -1/3) v)) (*.f64 2/9 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/3))))) |
(fma.f64 -4 (/.f64 (sqrt.f64 -1/3) v) (/.f64 2/9 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/3)))) |
(fma.f64 (/.f64 (sqrt.f64 -1/3) v) -4 (/.f64 2/9 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/3)))) |
(+.f64 (*.f64 -4 (/.f64 (sqrt.f64 -1/3) v)) (+.f64 (*.f64 2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 v 5) (sqrt.f64 -1/3)))) (*.f64 2/9 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/3)))))) |
(fma.f64 -4 (/.f64 (sqrt.f64 -1/3) v) (fma.f64 2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 v 5) (sqrt.f64 -1/3))) (/.f64 2/9 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/3))))) |
(fma.f64 (/.f64 (sqrt.f64 -1/3) v) -4 (fma.f64 2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 v 5) (sqrt.f64 -1/3))) (/.f64 2/9 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/3))))) |
(+.f64 (*.f64 -4 (/.f64 (sqrt.f64 -1/3) v)) (+.f64 (*.f64 2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 v 5) (sqrt.f64 -1/3)))) (+.f64 (*.f64 2 (/.f64 (+.f64 1/81 (*.f64 1/18 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))) (*.f64 (pow.f64 v 7) (sqrt.f64 -1/3)))) (*.f64 2/9 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/3))))))) |
(fma.f64 -4 (/.f64 (sqrt.f64 -1/3) v) (fma.f64 2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 v 5) (sqrt.f64 -1/3))) (fma.f64 2 (/.f64 (+.f64 1/81 (*.f64 1/18 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))) (*.f64 (sqrt.f64 -1/3) (pow.f64 v 7))) (/.f64 2/9 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/3)))))) |
(fma.f64 (/.f64 (sqrt.f64 -1/3) v) -4 (fma.f64 2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 v 5) (sqrt.f64 -1/3))) (fma.f64 2 (/.f64 (fma.f64 1/18 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) -1/3) 1/81) (*.f64 (sqrt.f64 -1/3) (pow.f64 v 7))) (/.f64 2/9 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/3)))))) |
(+.f64 (fma.f64 (/.f64 (sqrt.f64 -1/3) v) -4 (/.f64 2/9 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/3)))) (*.f64 (/.f64 2 (sqrt.f64 -1/3)) (+.f64 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (pow.f64 v 5)) (/.f64 (+.f64 1/81 (*.f64 -1/6 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)))) (pow.f64 v 7))))) |
(*.f64 1/4 (sqrt.f64 2)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 1/4 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))))) |
(*.f64 1/4 (+.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -5/2)))) |
(*.f64 1/4 (+.f64 (sqrt.f64 2) (*.f64 (*.f64 v (*.f64 (sqrt.f64 2) v)) -5/2))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 v (*.f64 v (*.f64 (sqrt.f64 2) -5/8)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 -9/8 (sqrt.f64 2)) (*.f64 3/2 (sqrt.f64 2))))) (*.f64 1/4 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2))))))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 1/4 (+.f64 (*.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/8)) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -5/2))))) |
(*.f64 1/4 (+.f64 (sqrt.f64 2) (fma.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/8) (*.f64 (*.f64 v (*.f64 (sqrt.f64 2) v)) -5/2)))) |
(*.f64 1/4 (+.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (*.f64 -5/2 v) v) (*.f64 (pow.f64 v 4) 3/8))))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 -9/8 (sqrt.f64 2)) (*.f64 3/2 (sqrt.f64 2))))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2))))) (*.f64 1/4 (*.f64 (pow.f64 v 6) (+.f64 (*.f64 9/8 (sqrt.f64 2)) (*.f64 -27/16 (sqrt.f64 2)))))))) |
(fma.f64 1/4 (sqrt.f64 2) (fma.f64 1/4 (*.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/8)) (*.f64 1/4 (+.f64 (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -5/2)) (*.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) -9/16)))))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 1/4 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 3/8 (pow.f64 v 4))) (fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -5/2) (*.f64 (sqrt.f64 2) (*.f64 -9/16 (pow.f64 v 6))))))) |
(fma.f64 1/4 (sqrt.f64 2) (fma.f64 1/4 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (*.f64 -5/2 v) v) (*.f64 (pow.f64 v 6) -9/16))) (*.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/32)))) |
(*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))) |
(*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3)))) |
(*.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 3))) (sqrt.f64 -3)) |
(*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) -1/4))) |
(+.f64 (*.f64 1/4 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))) |
(fma.f64 1/4 (*.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3))))) |
(fma.f64 1/4 (*.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (/.f64 (*.f64 (sqrt.f64 2) -1/2) (sqrt.f64 -3)))) (*.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 3))) (sqrt.f64 -3))) |
(fma.f64 1/4 (*.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (/.f64 (*.f64 (sqrt.f64 2) -1/2) (sqrt.f64 -3)))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) -1/4)))) |
(+.f64 (*.f64 1/4 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))) |
(fma.f64 1/4 (*.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (fma.f64 1/4 (/.f64 (fma.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3)))))) |
(fma.f64 1/4 (*.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (/.f64 (*.f64 (sqrt.f64 2) -1/2) (sqrt.f64 -3)))) (fma.f64 1/4 (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2 (*.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v) (*.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 3))) (sqrt.f64 -3)))) |
(fma.f64 1/4 (*.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (/.f64 (*.f64 (sqrt.f64 2) -1/2) (sqrt.f64 -3)))) (fma.f64 1/4 (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 11/24) v) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) -1/4))))) |
(+.f64 (*.f64 1/4 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))))) |
(fma.f64 1/4 (*.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (fma.f64 1/4 (/.f64 (fma.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3)) (fma.f64 1/4 (/.f64 (fma.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3))))))) |
(fma.f64 1/4 (*.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (/.f64 (*.f64 (sqrt.f64 2) -1/2) (sqrt.f64 -3)))) (fma.f64 1/4 (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (*.f64 1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (pow.f64 v 3)) (fma.f64 1/4 (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2 (*.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v) (*.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 3))) (sqrt.f64 -3))))) |
(fma.f64 1/4 (*.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (/.f64 (*.f64 (sqrt.f64 2) -1/2) (sqrt.f64 -3)))) (fma.f64 1/4 (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/24)) (pow.f64 v 3)) (fma.f64 1/4 (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 11/24) v) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) -1/4)))))) |
(*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))) |
(*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3)))) |
(*.f64 1/4 (*.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 2) (pow.f64 v 3)))) |
(*.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 (sqrt.f64 -3) (pow.f64 v 3))) |
(+.f64 (*.f64 -1/4 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))) |
(fma.f64 -1/4 (*.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3))))) |
(fma.f64 (*.f64 v -1/4) (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (/.f64 (*.f64 (sqrt.f64 2) -1/2) (sqrt.f64 -3))) (*.f64 1/4 (*.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 2) (pow.f64 v 3))))) |
(fma.f64 -1/4 (*.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (/.f64 (*.f64 (sqrt.f64 2) -1/2) (sqrt.f64 -3)))) (*.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 (sqrt.f64 -3) (pow.f64 v 3)))) |
(+.f64 (*.f64 -1/4 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))) |
(fma.f64 -1/4 (*.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (fma.f64 -1/4 (/.f64 (fma.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v) (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3)))))) |
(fma.f64 -1/4 (*.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (/.f64 (*.f64 (sqrt.f64 2) -1/2) (sqrt.f64 -3)))) (fma.f64 1/4 (*.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 2) (pow.f64 v 3))) (*.f64 -1/4 (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2 (*.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)))) |
(fma.f64 -1/4 (*.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (/.f64 (*.f64 (sqrt.f64 2) -1/2) (sqrt.f64 -3)))) (fma.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3))) (*.f64 (/.f64 -1/4 v) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 11/24)))) |
(+.f64 (*.f64 -1/4 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))))) |
(fma.f64 -1/4 (*.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (fma.f64 -1/4 (/.f64 (fma.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3)) (fma.f64 -1/4 (/.f64 (fma.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v) (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3))))))) |
(fma.f64 -1/4 (*.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (/.f64 (*.f64 (sqrt.f64 2) -1/2) (sqrt.f64 -3)))) (fma.f64 -1/4 (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (*.f64 1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (pow.f64 v 3)) (fma.f64 1/4 (*.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 2) (pow.f64 v 3))) (*.f64 -1/4 (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2 (*.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v))))) |
(+.f64 (*.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 (sqrt.f64 -3) (pow.f64 v 3))) (*.f64 -1/4 (+.f64 (*.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (/.f64 (*.f64 (sqrt.f64 2) -1/2) (sqrt.f64 -3)))) (+.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 11/24) v) (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/24)) (pow.f64 v 3)))))) |
1 |
(+.f64 1 (*.f64 -3/2 (pow.f64 v 2))) |
(+.f64 1 (*.f64 (*.f64 v v) -3/2)) |
(fma.f64 (*.f64 v v) -3/2 1) |
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 v 2)) (*.f64 -9/8 (pow.f64 v 4)))) |
(+.f64 1 (fma.f64 -3/2 (*.f64 v v) (*.f64 (pow.f64 v 4) -9/8))) |
(+.f64 1 (fma.f64 (*.f64 v v) -3/2 (*.f64 (pow.f64 v 4) -9/8))) |
(+.f64 (fma.f64 (*.f64 v v) -3/2 1) (*.f64 (pow.f64 v 4) -9/8)) |
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 v 2)) (+.f64 (*.f64 -27/16 (pow.f64 v 6)) (*.f64 -9/8 (pow.f64 v 4))))) |
(+.f64 1 (fma.f64 -3/2 (*.f64 v v) (fma.f64 -27/16 (pow.f64 v 6) (*.f64 (pow.f64 v 4) -9/8)))) |
(+.f64 (fma.f64 (*.f64 v v) -3/2 1) (fma.f64 (pow.f64 v 4) -9/8 (*.f64 (pow.f64 v 6) -27/16))) |
(*.f64 v (sqrt.f64 -3)) |
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 v (sqrt.f64 -3))) |
(+.f64 (*.f64 v (sqrt.f64 -3)) (/.f64 1/2 (*.f64 v (sqrt.f64 -3)))) |
(fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3)))) |
(fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 (sqrt.f64 -3)) v)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) |
(-.f64 (+.f64 (*.f64 v (sqrt.f64 -3)) (/.f64 1/2 (*.f64 v (sqrt.f64 -3)))) (/.f64 1/8 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) |
(+.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (fma.f64 v (sqrt.f64 -3) (/.f64 -1/8 (*.f64 (sqrt.f64 -3) (*.f64 -3 (pow.f64 v 3)))))) |
(+.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -3)) v) (fma.f64 v (sqrt.f64 -3) (/.f64 1/24 (*.f64 (sqrt.f64 -3) (pow.f64 v 3))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (*.f64 v (sqrt.f64 -3)))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) |
(-.f64 (+.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (+.f64 (*.f64 v (sqrt.f64 -3)) (/.f64 1/16 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))))) (/.f64 1/8 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) |
(+.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (+.f64 (/.f64 (/.f64 1/16 (pow.f64 v 5)) (pow.f64 (sqrt.f64 -3) 5)) (fma.f64 v (sqrt.f64 -3) (/.f64 -1/8 (*.f64 (sqrt.f64 -3) (*.f64 -3 (pow.f64 v 3))))))) |
(+.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -3)) v) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 v (sqrt.f64 -3) (/.f64 1/24 (*.f64 (sqrt.f64 -3) (pow.f64 v 3)))))) |
(*.f64 -1 (*.f64 v (sqrt.f64 -3))) |
(neg.f64 (*.f64 v (sqrt.f64 -3))) |
(*.f64 v (neg.f64 (sqrt.f64 -3))) |
(-.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3))))) |
(-.f64 (neg.f64 (*.f64 v (sqrt.f64 -3))) (/.f64 1/2 (*.f64 v (sqrt.f64 -3)))) |
(neg.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3))))) |
(-.f64 (/.f64 -1/2 (*.f64 v (sqrt.f64 -3))) (*.f64 v (sqrt.f64 -3))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3))))) |
(-.f64 (fma.f64 -1 (*.f64 v (sqrt.f64 -3)) (/.f64 1/8 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (/.f64 1/2 (*.f64 v (sqrt.f64 -3)))) |
(fma.f64 (neg.f64 v) (sqrt.f64 -3) (+.f64 (/.f64 (/.f64 1/8 (pow.f64 v 3)) (*.f64 (sqrt.f64 -3) -3)) (/.f64 -1/2 (*.f64 v (sqrt.f64 -3))))) |
(-.f64 (/.f64 -1/24 (*.f64 (sqrt.f64 -3) (pow.f64 v 3))) (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 (sqrt.f64 -3)) v))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))))) |
(-.f64 (fma.f64 -1 (*.f64 v (sqrt.f64 -3)) (/.f64 1/8 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (/.f64 1/16 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))))) |
(+.f64 (-.f64 (/.f64 (/.f64 1/8 (pow.f64 v 3)) (*.f64 (sqrt.f64 -3) -3)) (*.f64 v (sqrt.f64 -3))) (-.f64 (/.f64 -1/2 (*.f64 v (sqrt.f64 -3))) (/.f64 (/.f64 1/16 (pow.f64 v 5)) (pow.f64 (sqrt.f64 -3) 5)))) |
(+.f64 (-.f64 (/.f64 -1/24 (*.f64 (sqrt.f64 -3) (pow.f64 v 3))) (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 (sqrt.f64 -3)) v))) (/.f64 -1/16 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) |
Compiled 16489 to 12776 computations (22.5% saved)
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 689 | 4 | 693 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 3 | 4 |
| Total | 691 | 7 | 698 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (-.f64 1 (*.f64 v v))) |
| ▶ | 1.0b | (sqrt.f64 1/8) |
| ▶ | 0.2b | (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 -3/2 (*.f64 (*.f64 v v) -9/8))) 1) (sqrt.f64 1/8)) (-.f64 1 (*.f64 v v))) |
| ▶ | 0.3b | (+.f64 (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 1/4)) |
| ▶ | 0.3b | (*.f64 (/.f64 (sqrt.f64 2) (/.f64 4 (fma.f64 (*.f64 v v) -3/2 1))) (-.f64 1 (*.f64 v v))) |
| ✓ | 0.3b | (*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -5/8))) |
| ✓ | 0.3b | (*.f64 (*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -3/8))) (-.f64 1 (*.f64 v v))) |
Compiled 102 to 75 computations (26.5% saved)
Compiled 4 to 4 computations (0% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 -3/2 (*.f64 (*.f64 v v) -9/8))) 1) (sqrt.f64 1/8)) (-.f64 1 (*.f64 v v))) |
| ✓ | 0.0b | (*.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 -3/2 (*.f64 (*.f64 v v) -9/8))) 1) (sqrt.f64 1/8)) |
| ✓ | 0.1b | (*.f64 (*.f64 v v) (+.f64 -3/2 (*.f64 (*.f64 v v) -9/8))) |
| ✓ | 0.1b | (*.f64 (*.f64 v v) -9/8) |
Compiled 90 to 51 computations (43.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | v | @ | inf | (*.f64 (*.f64 v v) (+.f64 -3/2 (*.f64 (*.f64 v v) -9/8))) |
| 1.0ms | v | @ | inf | (*.f64 (*.f64 v v) -9/8) |
| 1.0ms | v | @ | inf | (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 -3/2 (*.f64 (*.f64 v v) -9/8))) 1) (sqrt.f64 1/8)) (-.f64 1 (*.f64 v v))) |
| 1.0ms | v | @ | 0 | (*.f64 (*.f64 v v) -9/8) |
| 1.0ms | v | @ | 0 | (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 -3/2 (*.f64 (*.f64 v v) -9/8))) 1) (sqrt.f64 1/8)) (-.f64 1 (*.f64 v v))) |
| 1× | batch-egg-rewrite |
| 862× | prod-diff_binary64 |
| 515× | fma-def_binary64 |
| 278× | expm1-udef_binary64 |
| 278× | log1p-udef_binary64 |
| 252× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 76 |
| 1 | 341 | 70 |
| 2 | 4527 | 70 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 v v) -9/8) |
(*.f64 (*.f64 v v) (+.f64 -3/2 (*.f64 (*.f64 v v) -9/8))) |
(*.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 -3/2 (*.f64 (*.f64 v v) -9/8))) 1) (sqrt.f64 1/8)) |
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 -3/2 (*.f64 (*.f64 v v) -9/8))) 1) (sqrt.f64 1/8)) (-.f64 1 (*.f64 v v))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 v (*.f64 v -9/8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (*.f64 v -9/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 v (*.f64 v -9/8))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (sqrt.f64 -9/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -729/512 (pow.f64 v 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 v 4) 81/64))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 v) v) -9/8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 v (*.f64 v -9/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -729/512 (pow.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 v (*.f64 v -9/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 v (*.f64 v -9/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 v (*.f64 v -9/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 v (*.f64 v -9/8))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 v (*.f64 v -3/2)) (*.f64 -9/8 (pow.f64 v 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -9/8 (pow.f64 v 4)) (*.f64 v (*.f64 v -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 v (*.f64 v -3/2)) 1) (*.f64 (*.f64 -9/8 (pow.f64 v 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v -9/8) -3/2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 v (*.f64 v -3/2)) 3) (pow.f64 (*.f64 -9/8 (pow.f64 v 4)) 3)) (fma.f64 (*.f64 v (*.f64 v -3/2)) (*.f64 v (*.f64 v -3/2)) (-.f64 (*.f64 (*.f64 -9/8 (pow.f64 v 4)) (*.f64 -9/8 (pow.f64 v 4))) (*.f64 (*.f64 v (*.f64 v -3/2)) (*.f64 -9/8 (pow.f64 v 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 v (*.f64 v -3/2)) (*.f64 v (*.f64 v -3/2)) (neg.f64 (*.f64 (*.f64 -9/8 (pow.f64 v 4)) (*.f64 -9/8 (pow.f64 v 4))))) (-.f64 (*.f64 v (*.f64 v -3/2)) (*.f64 -9/8 (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -729/512 (pow.f64 v 6) -27/8) (*.f64 v v)) (fma.f64 (*.f64 v (*.f64 v -9/8)) (fma.f64 v (*.f64 v -9/8) 3/2) 9/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9/4 (*.f64 (pow.f64 v 4) 81/64)) (*.f64 v v)) (+.f64 -3/2 (*.f64 9/8 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 v v) (fma.f64 -729/512 (pow.f64 v 6) -27/8)) (fma.f64 (*.f64 v (*.f64 v -9/8)) (fma.f64 v (*.f64 v -9/8) 3/2) 9/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 v v) (-.f64 9/4 (*.f64 (pow.f64 v 4) 81/64))) (+.f64 -3/2 (*.f64 9/8 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 v (*.f64 v -3/2) (*.f64 -9/8 (pow.f64 v 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3/2) (*.f64 -9/8 (pow.f64 v 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (sqrt.f64 (fma.f64 v (*.f64 v -9/8) -3/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -3/2) (*.f64 -9/8 (pow.f64 v 4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 v (*.f64 v -3/2) (*.f64 -9/8 (pow.f64 v 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 v) v) (fma.f64 v (*.f64 v -9/8) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 v (*.f64 v -3/2) (*.f64 -9/8 (pow.f64 v 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 -9/8 (pow.f64 v 4))) (exp.f64 (*.f64 v (*.f64 v -3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 v (*.f64 v -3/2) (*.f64 -9/8 (pow.f64 v 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 v (*.f64 v -3/2) (*.f64 -9/8 (pow.f64 v 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (fma.f64 v (*.f64 v -3/2) (*.f64 -9/8 (pow.f64 v 4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 v (*.f64 v -3/2) (*.f64 -9/8 (pow.f64 v 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 v (*.f64 v -3/2) (*.f64 -9/8 (pow.f64 v 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 v (*.f64 v -3/2) (*.f64 -9/8 (pow.f64 v 4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 v (*.f64 v (*.f64 v (*.f64 v -9/8))) (*.f64 v (*.f64 v -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 v (*.f64 v -3/2) (*.f64 -9/8 (pow.f64 v 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 v (*.f64 (*.f64 v -9/8) (*.f64 v v)) (*.f64 v (*.f64 v -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v v) (*.f64 v (*.f64 v -9/8)) (*.f64 v (*.f64 v -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v v) -3/2 (*.f64 -9/8 (pow.f64 v 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -9/8 (pow.f64 v 4) (*.f64 v (*.f64 v -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v (*.f64 v -9/8)) (*.f64 v v) (*.f64 v (*.f64 v -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3/2 (*.f64 v v) (*.f64 -9/8 (pow.f64 v 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v -9/8) -3/2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 v (*.f64 v -3/2)) (*.f64 -9/8 (pow.f64 v 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -9/8 (pow.f64 v 4)) (*.f64 v (*.f64 v -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v -9/8) -3/2)) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 v 4) -9/8 (*.f64 v (*.f64 v -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 v 3) (*.f64 v -9/8) (*.f64 v (*.f64 v -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 v 4)) (*.f64 (pow.f64 (cbrt.f64 v) 2) -3/2) (*.f64 -9/8 (pow.f64 v 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 v 4)) (*.f64 (pow.f64 (cbrt.f64 v) 2) (*.f64 v (*.f64 v -9/8))) (*.f64 v (*.f64 v -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 v 4) 81/64)) (*.f64 (cbrt.f64 (*.f64 v (*.f64 v -9/8))) (*.f64 v v)) (*.f64 v (*.f64 v -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v -9/8) -3/2)) 1)) (pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v -9/8) -3/2)) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v -9/8) -3/2)) 1)) 2) (cbrt.f64 (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v -9/8) -3/2)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v (sqrt.f64 -9/8)) (*.f64 (*.f64 v (sqrt.f64 -9/8)) (*.f64 v v)) (*.f64 v (*.f64 v -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 (fma.f64 v (*.f64 v -9/8) -3/2)))) 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-3/2)) 1) (sqrt.f64 1/8)) (*.f64 v (neg.f64 v)))))))) |
| 1× | egg-herbie |
| 608× | fma-neg_binary64 |
| 534× | sub-neg_binary64 |
| 452× | distribute-rgt-neg-in_binary64 |
| 444× | distribute-rgt-out_binary64 |
| 401× | *-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 789 |
| 1 | 123 | 761 |
| 2 | 358 | 731 |
| 3 | 1314 | 708 |
| 4 | 2913 | 708 |
| 5 | 5979 | 708 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -9/8 (pow.f64 v 2)) |
(*.f64 -9/8 (pow.f64 v 2)) |
(*.f64 -9/8 (pow.f64 v 2)) |
(*.f64 -9/8 (pow.f64 v 2)) |
(*.f64 -9/8 (pow.f64 v 2)) |
(*.f64 -9/8 (pow.f64 v 2)) |
(*.f64 -9/8 (pow.f64 v 2)) |
(*.f64 -9/8 (pow.f64 v 2)) |
(*.f64 -9/8 (pow.f64 v 2)) |
(*.f64 -9/8 (pow.f64 v 2)) |
(*.f64 -9/8 (pow.f64 v 2)) |
(*.f64 -9/8 (pow.f64 v 2)) |
(*.f64 -3/2 (pow.f64 v 2)) |
(+.f64 (*.f64 -3/2 (pow.f64 v 2)) (*.f64 -9/8 (pow.f64 v 4))) |
(+.f64 (*.f64 -3/2 (pow.f64 v 2)) (*.f64 -9/8 (pow.f64 v 4))) |
(+.f64 (*.f64 -3/2 (pow.f64 v 2)) (*.f64 -9/8 (pow.f64 v 4))) |
(*.f64 -9/8 (pow.f64 v 4)) |
(+.f64 (*.f64 -3/2 (pow.f64 v 2)) (*.f64 -9/8 (pow.f64 v 4))) |
(+.f64 (*.f64 -3/2 (pow.f64 v 2)) (*.f64 -9/8 (pow.f64 v 4))) |
(+.f64 (*.f64 -3/2 (pow.f64 v 2)) (*.f64 -9/8 (pow.f64 v 4))) |
(*.f64 -9/8 (pow.f64 v 4)) |
(+.f64 (*.f64 -3/2 (pow.f64 v 2)) (*.f64 -9/8 (pow.f64 v 4))) |
(+.f64 (*.f64 -3/2 (pow.f64 v 2)) (*.f64 -9/8 (pow.f64 v 4))) |
(+.f64 (*.f64 -3/2 (pow.f64 v 2)) (*.f64 -9/8 (pow.f64 v 4))) |
(sqrt.f64 1/8) |
(+.f64 (*.f64 -3/2 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)) |
(+.f64 (*.f64 -9/8 (*.f64 (pow.f64 v 4) (sqrt.f64 1/8))) (+.f64 (*.f64 -3/2 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))) |
(+.f64 (*.f64 -9/8 (*.f64 (pow.f64 v 4) (sqrt.f64 1/8))) (+.f64 (*.f64 -3/2 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))) |
(*.f64 -9/8 (*.f64 (pow.f64 v 4) (sqrt.f64 1/8))) |
(+.f64 (*.f64 -9/8 (*.f64 (pow.f64 v 4) (sqrt.f64 1/8))) (*.f64 -3/2 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8)))) |
(+.f64 (*.f64 -9/8 (*.f64 (pow.f64 v 4) (sqrt.f64 1/8))) (+.f64 (*.f64 -3/2 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))) |
(+.f64 (*.f64 -9/8 (*.f64 (pow.f64 v 4) (sqrt.f64 1/8))) (+.f64 (*.f64 -3/2 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))) |
(*.f64 -9/8 (*.f64 (pow.f64 v 4) (sqrt.f64 1/8))) |
(+.f64 (*.f64 -9/8 (*.f64 (pow.f64 v 4) (sqrt.f64 1/8))) (*.f64 -3/2 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8)))) |
(+.f64 (*.f64 -9/8 (*.f64 (pow.f64 v 4) (sqrt.f64 1/8))) (+.f64 (*.f64 -3/2 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))) |
(+.f64 (*.f64 -9/8 (*.f64 (pow.f64 v 4) (sqrt.f64 1/8))) (+.f64 (*.f64 -3/2 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))) |
(sqrt.f64 1/8) |
(+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 1/8)) (*.f64 -3/2 (sqrt.f64 1/8)))) (sqrt.f64 1/8)) |
(+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 1/8)) (*.f64 -3/2 (sqrt.f64 1/8)))) (+.f64 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 3/2 (sqrt.f64 1/8)) (*.f64 -9/8 (sqrt.f64 1/8)))) (sqrt.f64 1/8))) |
(+.f64 (*.f64 9/8 (*.f64 (pow.f64 v 6) (sqrt.f64 1/8))) (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 1/8)) (*.f64 -3/2 (sqrt.f64 1/8)))) (+.f64 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 3/2 (sqrt.f64 1/8)) (*.f64 -9/8 (sqrt.f64 1/8)))) (sqrt.f64 1/8)))) |
(*.f64 9/8 (*.f64 (pow.f64 v 6) (sqrt.f64 1/8))) |
(+.f64 (*.f64 9/8 (*.f64 (pow.f64 v 6) (sqrt.f64 1/8))) (*.f64 (pow.f64 v 4) (+.f64 (*.f64 3/2 (sqrt.f64 1/8)) (*.f64 -9/8 (sqrt.f64 1/8))))) |
(+.f64 (*.f64 9/8 (*.f64 (pow.f64 v 6) (sqrt.f64 1/8))) (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 1/8)) (*.f64 -3/2 (sqrt.f64 1/8)))) (*.f64 (pow.f64 v 4) (+.f64 (*.f64 3/2 (sqrt.f64 1/8)) (*.f64 -9/8 (sqrt.f64 1/8)))))) |
(+.f64 (*.f64 9/8 (*.f64 (pow.f64 v 6) (sqrt.f64 1/8))) (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 1/8)) (*.f64 -3/2 (sqrt.f64 1/8)))) (+.f64 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 3/2 (sqrt.f64 1/8)) (*.f64 -9/8 (sqrt.f64 1/8)))) (sqrt.f64 1/8)))) |
(*.f64 9/8 (*.f64 (pow.f64 v 6) (sqrt.f64 1/8))) |
(+.f64 (*.f64 9/8 (*.f64 (pow.f64 v 6) (sqrt.f64 1/8))) (*.f64 (pow.f64 v 4) (+.f64 (*.f64 3/2 (sqrt.f64 1/8)) (*.f64 -9/8 (sqrt.f64 1/8))))) |
(+.f64 (*.f64 9/8 (*.f64 (pow.f64 v 6) (sqrt.f64 1/8))) (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 1/8)) (*.f64 -3/2 (sqrt.f64 1/8)))) (*.f64 (pow.f64 v 4) (+.f64 (*.f64 3/2 (sqrt.f64 1/8)) (*.f64 -9/8 (sqrt.f64 1/8)))))) |
(+.f64 (*.f64 9/8 (*.f64 (pow.f64 v 6) (sqrt.f64 1/8))) (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 1/8)) (*.f64 -3/2 (sqrt.f64 1/8)))) (+.f64 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 3/2 (sqrt.f64 1/8)) (*.f64 -9/8 (sqrt.f64 1/8)))) (sqrt.f64 1/8)))) |
| Outputs |
|---|
(*.f64 -9/8 (pow.f64 v 2)) |
(*.f64 -9/8 (*.f64 v v)) |
(*.f64 -9/8 (pow.f64 v 2)) |
(*.f64 -9/8 (*.f64 v v)) |
(*.f64 -9/8 (pow.f64 v 2)) |
(*.f64 -9/8 (*.f64 v v)) |
(*.f64 -9/8 (pow.f64 v 2)) |
(*.f64 -9/8 (*.f64 v v)) |
(*.f64 -9/8 (pow.f64 v 2)) |
(*.f64 -9/8 (*.f64 v v)) |
(*.f64 -9/8 (pow.f64 v 2)) |
(*.f64 -9/8 (*.f64 v v)) |
(*.f64 -9/8 (pow.f64 v 2)) |
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(*.f64 (sqrt.f64 1/8) (+.f64 (*.f64 9/8 (pow.f64 v 6)) (+.f64 (*.f64 (pow.f64 v 4) 3/8) (*.f64 v (*.f64 v -5/2))))) |
(+.f64 (*.f64 9/8 (*.f64 (pow.f64 v 6) (sqrt.f64 1/8))) (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 1/8)) (*.f64 -3/2 (sqrt.f64 1/8)))) (+.f64 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 3/2 (sqrt.f64 1/8)) (*.f64 -9/8 (sqrt.f64 1/8)))) (sqrt.f64 1/8)))) |
(fma.f64 9/8 (*.f64 (sqrt.f64 1/8) (pow.f64 v 6)) (fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 1/8) -5/2) (fma.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 1/8) 3/8) (sqrt.f64 1/8)))) |
(+.f64 (sqrt.f64 1/8) (fma.f64 (sqrt.f64 1/8) (*.f64 9/8 (pow.f64 v 6)) (*.f64 (sqrt.f64 1/8) (+.f64 (*.f64 (*.f64 -5/2 v) v) (*.f64 (pow.f64 v 4) 3/8))))) |
(*.f64 (sqrt.f64 1/8) (+.f64 (+.f64 (*.f64 v (*.f64 v -5/2)) 1) (+.f64 (*.f64 9/8 (pow.f64 v 6)) (*.f64 (pow.f64 v 4) 3/8)))) |
(*.f64 (sqrt.f64 1/8) (+.f64 (+.f64 1 (*.f64 (pow.f64 v 4) 3/8)) (+.f64 (*.f64 9/8 (pow.f64 v 6)) (*.f64 v (*.f64 v -5/2))))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (/.f64 (sqrt.f64 2) (/.f64 4 (fma.f64 (*.f64 v v) -3/2 1))) (-.f64 1 (*.f64 v v))) |
| ✓ | 0.0b | (/.f64 4 (fma.f64 (*.f64 v v) -3/2 1)) |
| ✓ | 0.0b | (/.f64 (sqrt.f64 2) (/.f64 4 (fma.f64 (*.f64 v v) -3/2 1))) |
Compiled 58 to 37 computations (36.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | v | @ | 0 | (*.f64 (/.f64 (sqrt.f64 2) (/.f64 4 (fma.f64 (*.f64 v v) -3/2 1))) (-.f64 1 (*.f64 v v))) |
| 1.0ms | v | @ | 0 | (/.f64 (sqrt.f64 2) (/.f64 4 (fma.f64 (*.f64 v v) -3/2 1))) |
| 1.0ms | v | @ | inf | (/.f64 (sqrt.f64 2) (/.f64 4 (fma.f64 (*.f64 v v) -3/2 1))) |
| 1.0ms | v | @ | inf | (/.f64 4 (fma.f64 (*.f64 v v) -3/2 1)) |
| 1.0ms | v | @ | inf | (*.f64 (/.f64 (sqrt.f64 2) (/.f64 4 (fma.f64 (*.f64 v v) -3/2 1))) (-.f64 1 (*.f64 v v))) |
| 1× | batch-egg-rewrite |
| 615× | log-prod_binary64 |
| 334× | pow2_binary64 |
| 232× | pow1/3_binary64 |
| 227× | expm1-udef_binary64 |
| 227× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 52 |
| 1 | 284 | 52 |
| 2 | 3603 | 52 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sqrt.f64 2) (/.f64 4 (fma.f64 (*.f64 v v) -3/2 1))) |
(/.f64 4 (fma.f64 (*.f64 v v) -3/2 1)) |
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 4 (fma.f64 (*.f64 v v) -3/2 1))) (-.f64 1 (*.f64 v v))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 v (*.f64 v -3/2) 1) (*.f64 (sqrt.f64 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 v v) -3/2) (*.f64 (sqrt.f64 2) 1/4)) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 (*.f64 v v) -3/2)) (*.f64 (*.f64 (sqrt.f64 2) 1/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 v (*.f64 v -3/2) 1)) (*.f64 (sqrt.f64 2) 1/4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 v (*.f64 v -3/2) 1)) (*.f64 (sqrt.f64 2) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 v (*.f64 v -3/2) 1)) (*.f64 (sqrt.f64 2) 1/4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 v (*.f64 v -3/2) 1)) (*.f64 (sqrt.f64 2) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 v (*.f64 v -3/2) 1) (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 4 (fma.f64 v (*.f64 v -3/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 4 (fma.f64 v (*.f64 v -3/2) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 4 (fma.f64 v (*.f64 v -3/2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 4 (fma.f64 v (*.f64 v -3/2) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 4 (fma.f64 v (*.f64 v -3/2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 4 (fma.f64 v (*.f64 v -3/2) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1 (fma.f64 v (*.f64 v -3/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 4 (fma.f64 v (*.f64 v -3/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (fma.f64 v (*.f64 v -3/2) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (fma.f64 v (*.f64 v -3/2) 1))) (pow.f64 (cbrt.f64 (/.f64 4 (fma.f64 v (*.f64 v -3/2) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 4 (fma.f64 v (*.f64 v -3/2) 1))) 2) (cbrt.f64 (/.f64 4 (fma.f64 v (*.f64 v -3/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 (fma.f64 v (*.f64 v -3/2) 1))) (/.f64 2 (sqrt.f64 (fma.f64 v (*.f64 v -3/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 1 (neg.f64 (fma.f64 v (*.f64 v -3/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 v (*.f64 v -3/2) 1)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (fma.f64 v (*.f64 v -3/2) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 16 (pow.f64 (fma.f64 v (*.f64 v -3/2) 1) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 4 (fma.f64 v (*.f64 v -3/2) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 4 (fma.f64 v (*.f64 v -3/2) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (sqrt.f64 (fma.f64 v (*.f64 v -3/2) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 v (*.f64 v -3/2) 1) 1/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (fma.f64 v (*.f64 v -3/2) 1) 1/4) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 16 (pow.f64 (fma.f64 v (*.f64 v -3/2) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 4 (fma.f64 v (*.f64 v -3/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (fma.f64 v (*.f64 v -3/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 4 (fma.f64 v (*.f64 v -3/2) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 4 (fma.f64 v (*.f64 v -3/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 4 (fma.f64 v (*.f64 v -3/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 4 (fma.f64 v (*.f64 v -3/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 4 (fma.f64 v (*.f64 v -3/2) 1))) 1)))))) |
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(sqrt.f64 2) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sqrt.f64 2) 1/4) 1) (fma.f64 v (*.f64 v -3/2) 1) (*.f64 (*.f64 (fma.f64 v (*.f64 v -3/2) 1) (*.f64 (sqrt.f64 2) 1/4)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 2) -4) (neg.f64 (fma.f64 v (*.f64 v -3/2) 1)) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 (fma.f64 v (*.f64 v -3/2) 1) (*.f64 (sqrt.f64 2) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 2) -4) (neg.f64 (fma.f64 v (*.f64 v -3/2) 1)) (*.f64 (*.f64 (fma.f64 v (*.f64 v -3/2) 1) (*.f64 (sqrt.f64 2) 1/4)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sqrt.f64 2) 1/4) (pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3/2) 1)) 2)) (cbrt.f64 (fma.f64 v (*.f64 v -3/2) 1)) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 (fma.f64 v (*.f64 v -3/2) 1) (*.f64 (sqrt.f64 2) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sqrt.f64 2) 1/4) (pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3/2) 1)) 2)) (cbrt.f64 (fma.f64 v (*.f64 v -3/2) 1)) (*.f64 (*.f64 (fma.f64 v (*.f64 v -3/2) 1) (*.f64 (sqrt.f64 2) 1/4)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sqrt.f64 2) 1/4) (sqrt.f64 (fma.f64 v (*.f64 v -3/2) 1))) (sqrt.f64 (fma.f64 v (*.f64 v -3/2) 1)) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 (fma.f64 v (*.f64 v -3/2) 1) (*.f64 (sqrt.f64 2) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sqrt.f64 2) 1/4) (sqrt.f64 (fma.f64 v (*.f64 v -3/2) 1))) (sqrt.f64 (fma.f64 v (*.f64 v -3/2) 1)) (*.f64 (*.f64 (fma.f64 v (*.f64 v -3/2) 1) (*.f64 (sqrt.f64 2) 1/4)) (*.f64 v (neg.f64 v)))))))) |
| 1× | egg-herbie |
| 630× | cancel-sign-sub-inv_binary64 |
| 601× | fma-def_binary64 |
| 456× | associate-*l*_binary64 |
| 426× | distribute-neg-frac_binary64 |
| 413× | unswap-sqr_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 696 |
| 1 | 156 | 682 |
| 2 | 404 | 626 |
| 3 | 1293 | 570 |
| 4 | 4953 | 570 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/4 (sqrt.f64 2)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
4 |
(+.f64 4 (*.f64 6 (pow.f64 v 2))) |
(+.f64 4 (+.f64 (*.f64 6 (pow.f64 v 2)) (*.f64 9 (pow.f64 v 4)))) |
(+.f64 4 (+.f64 (*.f64 6 (pow.f64 v 2)) (+.f64 (*.f64 9 (pow.f64 v 4)) (*.f64 27/2 (pow.f64 v 6))))) |
(/.f64 -8/3 (pow.f64 v 2)) |
(neg.f64 (+.f64 (*.f64 16/9 (/.f64 1 (pow.f64 v 4))) (*.f64 8/3 (/.f64 1 (pow.f64 v 2))))) |
(neg.f64 (+.f64 (*.f64 16/9 (/.f64 1 (pow.f64 v 4))) (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 v 2))) (*.f64 32/27 (/.f64 1 (pow.f64 v 6)))))) |
(neg.f64 (+.f64 (*.f64 16/9 (/.f64 1 (pow.f64 v 4))) (+.f64 (*.f64 64/81 (/.f64 1 (pow.f64 v 8))) (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 v 2))) (*.f64 32/27 (/.f64 1 (pow.f64 v 6))))))) |
(/.f64 -8/3 (pow.f64 v 2)) |
(neg.f64 (+.f64 (*.f64 16/9 (/.f64 1 (pow.f64 v 4))) (*.f64 8/3 (/.f64 1 (pow.f64 v 2))))) |
(neg.f64 (+.f64 (*.f64 16/9 (/.f64 1 (pow.f64 v 4))) (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 v 2))) (*.f64 32/27 (/.f64 1 (pow.f64 v 6)))))) |
(neg.f64 (+.f64 (*.f64 16/9 (/.f64 1 (pow.f64 v 4))) (+.f64 (*.f64 64/81 (/.f64 1 (pow.f64 v 8))) (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 v 2))) (*.f64 32/27 (/.f64 1 (pow.f64 v 6))))))) |
(*.f64 1/4 (sqrt.f64 2)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))) |
(+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))) |
(*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) |
(+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))) |
(*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) |
(+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))) |
| Outputs |
|---|
(*.f64 1/4 (sqrt.f64 2)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (*.f64 v v)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -3/8))) |
(*.f64 (sqrt.f64 2) (+.f64 (*.f64 -3/8 (*.f64 v v)) 1/4)) |
(*.f64 (sqrt.f64 2) (fma.f64 -3/8 (*.f64 v v) 1/4)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (*.f64 v v)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -3/8))) |
(*.f64 (sqrt.f64 2) (+.f64 (*.f64 -3/8 (*.f64 v v)) 1/4)) |
(*.f64 (sqrt.f64 2) (fma.f64 -3/8 (*.f64 v v) 1/4)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (*.f64 v v)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -3/8))) |
(*.f64 (sqrt.f64 2) (+.f64 (*.f64 -3/8 (*.f64 v v)) 1/4)) |
(*.f64 (sqrt.f64 2) (fma.f64 -3/8 (*.f64 v v) 1/4)) |
(*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(*.f64 -3/8 (*.f64 (sqrt.f64 2) (*.f64 v v))) |
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -3/8)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (*.f64 v v)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -3/8))) |
(*.f64 (sqrt.f64 2) (+.f64 (*.f64 -3/8 (*.f64 v v)) 1/4)) |
(*.f64 (sqrt.f64 2) (fma.f64 -3/8 (*.f64 v v) 1/4)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (*.f64 v v)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -3/8))) |
(*.f64 (sqrt.f64 2) (+.f64 (*.f64 -3/8 (*.f64 v v)) 1/4)) |
(*.f64 (sqrt.f64 2) (fma.f64 -3/8 (*.f64 v v) 1/4)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (*.f64 v v)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -3/8))) |
(*.f64 (sqrt.f64 2) (+.f64 (*.f64 -3/8 (*.f64 v v)) 1/4)) |
(*.f64 (sqrt.f64 2) (fma.f64 -3/8 (*.f64 v v) 1/4)) |
(*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(*.f64 -3/8 (*.f64 (sqrt.f64 2) (*.f64 v v))) |
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -3/8)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (*.f64 v v)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -3/8))) |
(*.f64 (sqrt.f64 2) (+.f64 (*.f64 -3/8 (*.f64 v v)) 1/4)) |
(*.f64 (sqrt.f64 2) (fma.f64 -3/8 (*.f64 v v) 1/4)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (*.f64 v v)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -3/8))) |
(*.f64 (sqrt.f64 2) (+.f64 (*.f64 -3/8 (*.f64 v v)) 1/4)) |
(*.f64 (sqrt.f64 2) (fma.f64 -3/8 (*.f64 v v) 1/4)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (*.f64 v v)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -3/8))) |
(*.f64 (sqrt.f64 2) (+.f64 (*.f64 -3/8 (*.f64 v v)) 1/4)) |
(*.f64 (sqrt.f64 2) (fma.f64 -3/8 (*.f64 v v) 1/4)) |
4 |
(+.f64 4 (*.f64 6 (pow.f64 v 2))) |
(+.f64 4 (*.f64 (*.f64 v v) 6)) |
(fma.f64 (*.f64 v v) 6 4) |
(fma.f64 v (*.f64 v 6) 4) |
(+.f64 4 (+.f64 (*.f64 6 (pow.f64 v 2)) (*.f64 9 (pow.f64 v 4)))) |
(+.f64 4 (fma.f64 6 (*.f64 v v) (*.f64 9 (pow.f64 v 4)))) |
(+.f64 (fma.f64 (*.f64 v v) 6 4) (*.f64 9 (pow.f64 v 4))) |
(fma.f64 v (*.f64 v 6) (fma.f64 9 (pow.f64 v 4) 4)) |
(+.f64 4 (+.f64 (*.f64 6 (pow.f64 v 2)) (+.f64 (*.f64 9 (pow.f64 v 4)) (*.f64 27/2 (pow.f64 v 6))))) |
(+.f64 4 (fma.f64 6 (*.f64 v v) (fma.f64 9 (pow.f64 v 4) (*.f64 27/2 (pow.f64 v 6))))) |
(+.f64 (fma.f64 (*.f64 v v) 6 4) (fma.f64 9 (pow.f64 v 4) (*.f64 27/2 (pow.f64 v 6)))) |
(+.f64 4 (fma.f64 v (*.f64 v 6) (fma.f64 9 (pow.f64 v 4) (*.f64 27/2 (pow.f64 v 6))))) |
(fma.f64 v (*.f64 v 6) (fma.f64 9 (pow.f64 v 4) (fma.f64 27/2 (pow.f64 v 6) 4))) |
(/.f64 -8/3 (pow.f64 v 2)) |
(/.f64 -8/3 (*.f64 v v)) |
(neg.f64 (+.f64 (*.f64 16/9 (/.f64 1 (pow.f64 v 4))) (*.f64 8/3 (/.f64 1 (pow.f64 v 2))))) |
(neg.f64 (+.f64 (/.f64 16/9 (pow.f64 v 4)) (/.f64 8/3 (*.f64 v v)))) |
(+.f64 (/.f64 -16/9 (pow.f64 v 4)) (/.f64 -8/3 (*.f64 v v))) |
(neg.f64 (+.f64 (*.f64 16/9 (/.f64 1 (pow.f64 v 4))) (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 v 2))) (*.f64 32/27 (/.f64 1 (pow.f64 v 6)))))) |
(neg.f64 (+.f64 (/.f64 16/9 (pow.f64 v 4)) (+.f64 (/.f64 8/3 (*.f64 v v)) (/.f64 32/27 (pow.f64 v 6))))) |
(-.f64 (+.f64 (/.f64 -16/9 (pow.f64 v 4)) (/.f64 -8/3 (*.f64 v v))) (/.f64 32/27 (pow.f64 v 6))) |
(+.f64 (/.f64 -16/9 (pow.f64 v 4)) (-.f64 (/.f64 -8/3 (*.f64 v v)) (/.f64 32/27 (pow.f64 v 6)))) |
(+.f64 (/.f64 -8/3 (*.f64 v v)) (+.f64 (/.f64 -16/9 (pow.f64 v 4)) (/.f64 -32/27 (pow.f64 v 6)))) |
(neg.f64 (+.f64 (*.f64 16/9 (/.f64 1 (pow.f64 v 4))) (+.f64 (*.f64 64/81 (/.f64 1 (pow.f64 v 8))) (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 v 2))) (*.f64 32/27 (/.f64 1 (pow.f64 v 6))))))) |
(neg.f64 (+.f64 (/.f64 16/9 (pow.f64 v 4)) (+.f64 (+.f64 (/.f64 8/3 (*.f64 v v)) (/.f64 32/27 (pow.f64 v 6))) (/.f64 64/81 (pow.f64 v 8))))) |
(-.f64 (/.f64 -16/9 (pow.f64 v 4)) (+.f64 (/.f64 8/3 (*.f64 v v)) (+.f64 (/.f64 32/27 (pow.f64 v 6)) (/.f64 64/81 (pow.f64 v 8))))) |
(+.f64 (+.f64 (/.f64 -16/9 (pow.f64 v 4)) (-.f64 (/.f64 -8/3 (*.f64 v v)) (/.f64 32/27 (pow.f64 v 6)))) (/.f64 -64/81 (pow.f64 v 8))) |
(+.f64 (+.f64 (/.f64 -16/9 (pow.f64 v 4)) (/.f64 -8/3 (*.f64 v v))) (+.f64 (/.f64 -32/27 (pow.f64 v 6)) (/.f64 -64/81 (pow.f64 v 8)))) |
(/.f64 -8/3 (pow.f64 v 2)) |
(/.f64 -8/3 (*.f64 v v)) |
(neg.f64 (+.f64 (*.f64 16/9 (/.f64 1 (pow.f64 v 4))) (*.f64 8/3 (/.f64 1 (pow.f64 v 2))))) |
(neg.f64 (+.f64 (/.f64 16/9 (pow.f64 v 4)) (/.f64 8/3 (*.f64 v v)))) |
(+.f64 (/.f64 -16/9 (pow.f64 v 4)) (/.f64 -8/3 (*.f64 v v))) |
(neg.f64 (+.f64 (*.f64 16/9 (/.f64 1 (pow.f64 v 4))) (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 v 2))) (*.f64 32/27 (/.f64 1 (pow.f64 v 6)))))) |
(neg.f64 (+.f64 (/.f64 16/9 (pow.f64 v 4)) (+.f64 (/.f64 8/3 (*.f64 v v)) (/.f64 32/27 (pow.f64 v 6))))) |
(-.f64 (+.f64 (/.f64 -16/9 (pow.f64 v 4)) (/.f64 -8/3 (*.f64 v v))) (/.f64 32/27 (pow.f64 v 6))) |
(+.f64 (/.f64 -16/9 (pow.f64 v 4)) (-.f64 (/.f64 -8/3 (*.f64 v v)) (/.f64 32/27 (pow.f64 v 6)))) |
(+.f64 (/.f64 -8/3 (*.f64 v v)) (+.f64 (/.f64 -16/9 (pow.f64 v 4)) (/.f64 -32/27 (pow.f64 v 6)))) |
(neg.f64 (+.f64 (*.f64 16/9 (/.f64 1 (pow.f64 v 4))) (+.f64 (*.f64 64/81 (/.f64 1 (pow.f64 v 8))) (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 v 2))) (*.f64 32/27 (/.f64 1 (pow.f64 v 6))))))) |
(neg.f64 (+.f64 (/.f64 16/9 (pow.f64 v 4)) (+.f64 (+.f64 (/.f64 8/3 (*.f64 v v)) (/.f64 32/27 (pow.f64 v 6))) (/.f64 64/81 (pow.f64 v 8))))) |
(-.f64 (/.f64 -16/9 (pow.f64 v 4)) (+.f64 (/.f64 8/3 (*.f64 v v)) (+.f64 (/.f64 32/27 (pow.f64 v 6)) (/.f64 64/81 (pow.f64 v 8))))) |
(+.f64 (+.f64 (/.f64 -16/9 (pow.f64 v 4)) (-.f64 (/.f64 -8/3 (*.f64 v v)) (/.f64 32/27 (pow.f64 v 6)))) (/.f64 -64/81 (pow.f64 v 8))) |
(+.f64 (+.f64 (/.f64 -16/9 (pow.f64 v 4)) (/.f64 -8/3 (*.f64 v v))) (+.f64 (/.f64 -32/27 (pow.f64 v 6)) (/.f64 -64/81 (pow.f64 v 8)))) |
(*.f64 1/4 (sqrt.f64 2)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 v v)) -5/8)) |
(fma.f64 (*.f64 (sqrt.f64 2) (*.f64 v v)) -5/8 (*.f64 1/4 (sqrt.f64 2))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 v (*.f64 v -5/8)))) |
(*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4)) |
(+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))) |
(fma.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 v v)) -5/8))) |
(fma.f64 1/4 (sqrt.f64 2) (fma.f64 (*.f64 (sqrt.f64 2) (*.f64 v v)) -5/8 (*.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/8)))) |
(fma.f64 (sqrt.f64 2) (*.f64 v (*.f64 v -5/8)) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (pow.f64 v 4) 3/8) 1/4))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (fma.f64 v (*.f64 v -5/8) (*.f64 (pow.f64 v 4) 3/8)))) |
(+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))) |
(fma.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 v v)) -5/8))) |
(fma.f64 1/4 (sqrt.f64 2) (fma.f64 (*.f64 (sqrt.f64 2) (*.f64 v v)) -5/8 (*.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/8)))) |
(fma.f64 (sqrt.f64 2) (*.f64 v (*.f64 v -5/8)) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (pow.f64 v 4) 3/8) 1/4))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (fma.f64 v (*.f64 v -5/8) (*.f64 (pow.f64 v 4) 3/8)))) |
(*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) |
(*.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/8)) |
(*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) 3/8)) |
(+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4)) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 v v)) -5/8)) |
(fma.f64 (*.f64 (sqrt.f64 2) (*.f64 v v)) -5/8 (*.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/8))) |
(*.f64 (sqrt.f64 2) (+.f64 (*.f64 v (*.f64 v -5/8)) (*.f64 (pow.f64 v 4) 3/8))) |
(*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) (*.f64 (pow.f64 v 4) 3/8))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))) |
(fma.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 v v)) -5/8))) |
(fma.f64 1/4 (sqrt.f64 2) (fma.f64 (*.f64 (sqrt.f64 2) (*.f64 v v)) -5/8 (*.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/8)))) |
(fma.f64 (sqrt.f64 2) (*.f64 v (*.f64 v -5/8)) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (pow.f64 v 4) 3/8) 1/4))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (fma.f64 v (*.f64 v -5/8) (*.f64 (pow.f64 v 4) 3/8)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))) |
(fma.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 v v)) -5/8))) |
(fma.f64 1/4 (sqrt.f64 2) (fma.f64 (*.f64 (sqrt.f64 2) (*.f64 v v)) -5/8 (*.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/8)))) |
(fma.f64 (sqrt.f64 2) (*.f64 v (*.f64 v -5/8)) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (pow.f64 v 4) 3/8) 1/4))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (fma.f64 v (*.f64 v -5/8) (*.f64 (pow.f64 v 4) 3/8)))) |
(*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) |
(*.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/8)) |
(*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) 3/8)) |
(+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4)) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 v v)) -5/8)) |
(fma.f64 (*.f64 (sqrt.f64 2) (*.f64 v v)) -5/8 (*.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/8))) |
(*.f64 (sqrt.f64 2) (+.f64 (*.f64 v (*.f64 v -5/8)) (*.f64 (pow.f64 v 4) 3/8))) |
(*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) (*.f64 (pow.f64 v 4) 3/8))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))) |
(fma.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 v v)) -5/8))) |
(fma.f64 1/4 (sqrt.f64 2) (fma.f64 (*.f64 (sqrt.f64 2) (*.f64 v v)) -5/8 (*.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/8)))) |
(fma.f64 (sqrt.f64 2) (*.f64 v (*.f64 v -5/8)) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (pow.f64 v 4) 3/8) 1/4))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (fma.f64 v (*.f64 v -5/8) (*.f64 (pow.f64 v 4) 3/8)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))) |
(fma.f64 3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 v v)) -5/8))) |
(fma.f64 1/4 (sqrt.f64 2) (fma.f64 (*.f64 (sqrt.f64 2) (*.f64 v v)) -5/8 (*.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/8)))) |
(fma.f64 (sqrt.f64 2) (*.f64 v (*.f64 v -5/8)) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (pow.f64 v 4) 3/8) 1/4))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (fma.f64 v (*.f64 v -5/8) (*.f64 (pow.f64 v 4) 3/8)))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 1/4)) |
| ✓ | 0.2b | (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) |
Compiled 39 to 30 computations (23.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | v | @ | 0 | (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) |
| 1.0ms | v | @ | inf | (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) |
| 0.0ms | v | @ | 0 | (+.f64 (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 1/4)) |
| 0.0ms | v | @ | inf | (+.f64 (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 1/4)) |
| 0.0ms | v | @ | -inf | (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) |
| 1× | batch-egg-rewrite |
| 502× | log-prod_binary64 |
| 383× | fma-def_binary64 |
| 369× | exp-prod_binary64 |
| 336× | pow-prod-down_binary64 |
| 276× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 30 |
| 1 | 237 | 21 |
| 2 | 2941 | 21 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) |
(+.f64 (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 1/4)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 v (*.f64 v (sqrt.f64 25/32))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 v) (*.f64 v (sqrt.f64 25/32)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 v) (*.f64 v (sqrt.f64 25/32))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 v) (*.f64 v (sqrt.f64 25/32))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 v) (*.f64 v (sqrt.f64 25/32))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 v (*.f64 v (sqrt.f64 25/32))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (*.f64 v (sqrt.f64 25/32))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 v 4) 25/32) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 v (*.f64 v (sqrt.f64 25/32)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (sqrt.f64 (sqrt.f64 25/32))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 v 4) 25/32) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 v (*.f64 v (sqrt.f64 25/32)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 v (*.f64 v (sqrt.f64 25/32))))) 2)) (cbrt.f64 (log.f64 (*.f64 v (*.f64 v (sqrt.f64 25/32))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 v (*.f64 v (sqrt.f64 25/32)))))) (sqrt.f64 (log.f64 (*.f64 v (*.f64 v (sqrt.f64 25/32))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 v 4) 25/32))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 v) (*.f64 v (sqrt.f64 25/32))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 v (*.f64 v (sqrt.f64 25/32))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 v 4) 25/32) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 v (*.f64 v (sqrt.f64 25/32)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 v (*.f64 v (sqrt.f64 25/32)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 v (*.f64 v (sqrt.f64 25/32)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 v (*.f64 v (sqrt.f64 25/32)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 v (*.f64 v (sqrt.f64 25/32))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 v (sqrt.f64 (sqrt.f64 25/32)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (pow.f64 v 4) 25/32) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 v (*.f64 v (sqrt.f64 25/32)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 v (*.f64 v (sqrt.f64 25/32)))) 3) 1/3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 v (*.f64 v (sqrt.f64 25/32)) (sqrt.f64 1/8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 v 4) 25/32) (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) -1/4))) (/.f64 1/8 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -5/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 v (*.f64 v (sqrt.f64 25/32)) (sqrt.f64 1/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 v (*.f64 v (sqrt.f64 25/32)) (sqrt.f64 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 v (*.f64 v (sqrt.f64 25/32)) (sqrt.f64 1/8))) (pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v (sqrt.f64 25/32)) (sqrt.f64 1/8))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 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| 1× | egg-herbie |
| 2020× | unswap-sqr_binary64 |
| 1080× | sqr-pow_binary64 |
| 637× | fabs-mul_binary64 |
| 612× | pow-sqr_binary64 |
| 610× | cube-prod_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 336 |
| 1 | 23 | 336 |
| 2 | 47 | 309 |
| 3 | 101 | 291 |
| 4 | 250 | 291 |
| 5 | 775 | 291 |
| 6 | 1093 | 291 |
| 7 | 1509 | 291 |
| 8 | 1609 | 291 |
| 9 | 1744 | 291 |
| 10 | 1913 | 291 |
| 11 | 2156 | 291 |
| 12 | 2473 | 291 |
| 13 | 2845 | 291 |
| 14 | 3301 | 291 |
| 15 | 3886 | 291 |
| 16 | 4594 | 291 |
| 17 | 5454 | 291 |
| 18 | 5880 | 291 |
| 19 | 6196 | 291 |
| 20 | 6504 | 291 |
| 21 | 6582 | 291 |
| 22 | 6618 | 291 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(*.f64 1/4 (sqrt.f64 2)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
| Outputs |
|---|
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(*.f64 (*.f64 -5/8 (sqrt.f64 2)) (*.f64 v v)) |
(*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (*.f64 v v))) |
(*.f64 (sqrt.f64 2) (*.f64 -5/8 (*.f64 v v))) |
(*.f64 v (*.f64 -5/8 (*.f64 (sqrt.f64 2) v))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(*.f64 (*.f64 -5/8 (sqrt.f64 2)) (*.f64 v v)) |
(*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (*.f64 v v))) |
(*.f64 (sqrt.f64 2) (*.f64 -5/8 (*.f64 v v))) |
(*.f64 v (*.f64 -5/8 (*.f64 (sqrt.f64 2) v))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(*.f64 (*.f64 -5/8 (sqrt.f64 2)) (*.f64 v v)) |
(*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (*.f64 v v))) |
(*.f64 (sqrt.f64 2) (*.f64 -5/8 (*.f64 v v))) |
(*.f64 v (*.f64 -5/8 (*.f64 (sqrt.f64 2) v))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(*.f64 (*.f64 -5/8 (sqrt.f64 2)) (*.f64 v v)) |
(*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (*.f64 v v))) |
(*.f64 (sqrt.f64 2) (*.f64 -5/8 (*.f64 v v))) |
(*.f64 v (*.f64 -5/8 (*.f64 (sqrt.f64 2) v))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(*.f64 (*.f64 -5/8 (sqrt.f64 2)) (*.f64 v v)) |
(*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (*.f64 v v))) |
(*.f64 (sqrt.f64 2) (*.f64 -5/8 (*.f64 v v))) |
(*.f64 v (*.f64 -5/8 (*.f64 (sqrt.f64 2) v))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(*.f64 (*.f64 -5/8 (sqrt.f64 2)) (*.f64 v v)) |
(*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (*.f64 v v))) |
(*.f64 (sqrt.f64 2) (*.f64 -5/8 (*.f64 v v))) |
(*.f64 v (*.f64 -5/8 (*.f64 (sqrt.f64 2) v))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(*.f64 (*.f64 -5/8 (sqrt.f64 2)) (*.f64 v v)) |
(*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (*.f64 v v))) |
(*.f64 (sqrt.f64 2) (*.f64 -5/8 (*.f64 v v))) |
(*.f64 v (*.f64 -5/8 (*.f64 (sqrt.f64 2) v))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(*.f64 (*.f64 -5/8 (sqrt.f64 2)) (*.f64 v v)) |
(*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (*.f64 v v))) |
(*.f64 (sqrt.f64 2) (*.f64 -5/8 (*.f64 v v))) |
(*.f64 v (*.f64 -5/8 (*.f64 (sqrt.f64 2) v))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(*.f64 (*.f64 -5/8 (sqrt.f64 2)) (*.f64 v v)) |
(*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (*.f64 v v))) |
(*.f64 (sqrt.f64 2) (*.f64 -5/8 (*.f64 v v))) |
(*.f64 v (*.f64 -5/8 (*.f64 (sqrt.f64 2) v))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(*.f64 (*.f64 -5/8 (sqrt.f64 2)) (*.f64 v v)) |
(*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (*.f64 v v))) |
(*.f64 (sqrt.f64 2) (*.f64 -5/8 (*.f64 v v))) |
(*.f64 v (*.f64 -5/8 (*.f64 (sqrt.f64 2) v))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(*.f64 (*.f64 -5/8 (sqrt.f64 2)) (*.f64 v v)) |
(*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (*.f64 v v))) |
(*.f64 (sqrt.f64 2) (*.f64 -5/8 (*.f64 v v))) |
(*.f64 v (*.f64 -5/8 (*.f64 (sqrt.f64 2) v))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(*.f64 (*.f64 -5/8 (sqrt.f64 2)) (*.f64 v v)) |
(*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (*.f64 v v))) |
(*.f64 (sqrt.f64 2) (*.f64 -5/8 (*.f64 v v))) |
(*.f64 v (*.f64 -5/8 (*.f64 (sqrt.f64 2) v))) |
(*.f64 1/4 (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) 1/4) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 -5/8 (sqrt.f64 2)) (*.f64 v v))) |
(fma.f64 -5/8 (*.f64 (sqrt.f64 2) (*.f64 v v)) (*.f64 (sqrt.f64 2) 1/4)) |
(*.f64 (sqrt.f64 2) (+.f64 (*.f64 -5/8 (*.f64 v v)) 1/4)) |
(*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 -5/8 v) 1/4)) |
(*.f64 (sqrt.f64 2) (fma.f64 -5/8 (*.f64 v v) 1/4)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 -5/8 (sqrt.f64 2)) (*.f64 v v))) |
(fma.f64 -5/8 (*.f64 (sqrt.f64 2) (*.f64 v v)) (*.f64 (sqrt.f64 2) 1/4)) |
(*.f64 (sqrt.f64 2) (+.f64 (*.f64 -5/8 (*.f64 v v)) 1/4)) |
(*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 -5/8 v) 1/4)) |
(*.f64 (sqrt.f64 2) (fma.f64 -5/8 (*.f64 v v) 1/4)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 -5/8 (sqrt.f64 2)) (*.f64 v v))) |
(fma.f64 -5/8 (*.f64 (sqrt.f64 2) (*.f64 v v)) (*.f64 (sqrt.f64 2) 1/4)) |
(*.f64 (sqrt.f64 2) (+.f64 (*.f64 -5/8 (*.f64 v v)) 1/4)) |
(*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 -5/8 v) 1/4)) |
(*.f64 (sqrt.f64 2) (fma.f64 -5/8 (*.f64 v v) 1/4)) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(*.f64 (*.f64 -5/8 (sqrt.f64 2)) (*.f64 v v)) |
(*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (*.f64 v v))) |
(*.f64 (sqrt.f64 2) (*.f64 -5/8 (*.f64 v v))) |
(*.f64 v (*.f64 -5/8 (*.f64 (sqrt.f64 2) v))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 -5/8 (sqrt.f64 2)) (*.f64 v v))) |
(fma.f64 -5/8 (*.f64 (sqrt.f64 2) (*.f64 v v)) (*.f64 (sqrt.f64 2) 1/4)) |
(*.f64 (sqrt.f64 2) (+.f64 (*.f64 -5/8 (*.f64 v v)) 1/4)) |
(*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 -5/8 v) 1/4)) |
(*.f64 (sqrt.f64 2) (fma.f64 -5/8 (*.f64 v v) 1/4)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 -5/8 (sqrt.f64 2)) (*.f64 v v))) |
(fma.f64 -5/8 (*.f64 (sqrt.f64 2) (*.f64 v v)) (*.f64 (sqrt.f64 2) 1/4)) |
(*.f64 (sqrt.f64 2) (+.f64 (*.f64 -5/8 (*.f64 v v)) 1/4)) |
(*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 -5/8 v) 1/4)) |
(*.f64 (sqrt.f64 2) (fma.f64 -5/8 (*.f64 v v) 1/4)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 -5/8 (sqrt.f64 2)) (*.f64 v v))) |
(fma.f64 -5/8 (*.f64 (sqrt.f64 2) (*.f64 v v)) (*.f64 (sqrt.f64 2) 1/4)) |
(*.f64 (sqrt.f64 2) (+.f64 (*.f64 -5/8 (*.f64 v v)) 1/4)) |
(*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 -5/8 v) 1/4)) |
(*.f64 (sqrt.f64 2) (fma.f64 -5/8 (*.f64 v v) 1/4)) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))) |
(*.f64 (*.f64 -5/8 (sqrt.f64 2)) (*.f64 v v)) |
(*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) |
(*.f64 -5/8 (*.f64 (sqrt.f64 2) (*.f64 v v))) |
(*.f64 (sqrt.f64 2) (*.f64 -5/8 (*.f64 v v))) |
(*.f64 v (*.f64 -5/8 (*.f64 (sqrt.f64 2) v))) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 -5/8 (sqrt.f64 2)) (*.f64 v v))) |
(fma.f64 -5/8 (*.f64 (sqrt.f64 2) (*.f64 v v)) (*.f64 (sqrt.f64 2) 1/4)) |
(*.f64 (sqrt.f64 2) (+.f64 (*.f64 -5/8 (*.f64 v v)) 1/4)) |
(*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 -5/8 v) 1/4)) |
(*.f64 (sqrt.f64 2) (fma.f64 -5/8 (*.f64 v v) 1/4)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 -5/8 (sqrt.f64 2)) (*.f64 v v))) |
(fma.f64 -5/8 (*.f64 (sqrt.f64 2) (*.f64 v v)) (*.f64 (sqrt.f64 2) 1/4)) |
(*.f64 (sqrt.f64 2) (+.f64 (*.f64 -5/8 (*.f64 v v)) 1/4)) |
(*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 -5/8 v) 1/4)) |
(*.f64 (sqrt.f64 2) (fma.f64 -5/8 (*.f64 v v) 1/4)) |
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))) |
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 -5/8 (sqrt.f64 2)) (*.f64 v v))) |
(fma.f64 -5/8 (*.f64 (sqrt.f64 2) (*.f64 v v)) (*.f64 (sqrt.f64 2) 1/4)) |
(*.f64 (sqrt.f64 2) (+.f64 (*.f64 -5/8 (*.f64 v v)) 1/4)) |
(*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 -5/8 v) 1/4)) |
(*.f64 (sqrt.f64 2) (fma.f64 -5/8 (*.f64 v v) 1/4)) |
Compiled 12204 to 9083 computations (25.6% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 514 | 1 | 515 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 514 | 8 | 522 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (-.f64 1 (*.f64 v v))) |
| ✓ | 1.0b | (sqrt.f64 1/8) |
| ✓ | 0.2b | (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 -3/2 (*.f64 (*.f64 v v) -9/8))) 1) (sqrt.f64 1/8)) (-.f64 1 (*.f64 v v))) |
| ✓ | 0.3b | (+.f64 (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 1/4)) |
| ✓ | 0.3b | (*.f64 (/.f64 (sqrt.f64 2) (/.f64 4 (fma.f64 (*.f64 v v) -3/2 1))) (-.f64 1 (*.f64 v v))) |
| ✓ | 0.3b | (*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -5/8))) |
| ▶ | 1.0b | (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) |
| ✓ | 0.3b | (*.f64 (*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -3/8))) (-.f64 1 (*.f64 v v))) |
Compiled 111 to 82 computations (26.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) |
Compiled 22 to 13 computations (40.9% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | v | @ | 0 | (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) |
| 0.0ms | v | @ | inf | (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) |
| 0.0ms | v | @ | -inf | (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) |
| 1× | batch-egg-rewrite |
| 741× | pow1_binary64 |
| 694× | add-log-exp_binary64 |
| 693× | log1p-expm1-u_binary64 |
| 693× | expm1-log1p-u_binary64 |
| 680× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 12 |
| 1 | 167 | 12 |
| 2 | 1966 | 12 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 1/8) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 6)) (sqrt.f64 1/8)) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 4)) (sqrt.f64 1/8)) (+.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (pow.f64 v 4))) (+.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/8 (pow.f64 (-.f64 1 (*.f64 v v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/8)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 1/8 (sqrt.f64 1/8)) (pow.f64 (-.f64 1 (*.f64 v v)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 v v)) 3) (*.f64 1/8 (sqrt.f64 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))))))))) |
| 1× | egg-herbie |
| 559× | fma-def_binary64 |
| 467× | distribute-rgt-neg-in_binary64 |
| 425× | fma-neg_binary64 |
| 377× | distribute-lft-neg-in_binary64 |
| 349× | unsub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 160 |
| 1 | 22 | 151 |
| 2 | 52 | 133 |
| 3 | 126 | 133 |
| 4 | 324 | 133 |
| 5 | 1115 | 133 |
| 6 | 2518 | 133 |
| 7 | 3696 | 133 |
| 8 | 5804 | 133 |
| 9 | 7274 | 133 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 1/8) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)) |
(*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)) |
(*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)) |
| Outputs |
|---|
(sqrt.f64 1/8) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)) |
(fma.f64 -1 (*.f64 (sqrt.f64 1/8) (*.f64 v v)) (sqrt.f64 1/8)) |
(-.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (*.f64 v v))) |
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1)) |
(*.f64 (sqrt.f64 1/8) (fma.f64 v (neg.f64 v) 1)) |
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)) |
(fma.f64 -1 (*.f64 (sqrt.f64 1/8) (*.f64 v v)) (sqrt.f64 1/8)) |
(-.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (*.f64 v v))) |
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1)) |
(*.f64 (sqrt.f64 1/8) (fma.f64 v (neg.f64 v) 1)) |
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)) |
(fma.f64 -1 (*.f64 (sqrt.f64 1/8) (*.f64 v v)) (sqrt.f64 1/8)) |
(-.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (*.f64 v v))) |
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1)) |
(*.f64 (sqrt.f64 1/8) (fma.f64 v (neg.f64 v) 1)) |
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) |
(*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) |
(neg.f64 (*.f64 (sqrt.f64 1/8) (*.f64 v v))) |
(*.f64 (sqrt.f64 1/8) (neg.f64 (*.f64 v v))) |
(*.f64 (sqrt.f64 1/8) (*.f64 v (neg.f64 v))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)) |
(fma.f64 -1 (*.f64 (sqrt.f64 1/8) (*.f64 v v)) (sqrt.f64 1/8)) |
(-.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (*.f64 v v))) |
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1)) |
(*.f64 (sqrt.f64 1/8) (fma.f64 v (neg.f64 v) 1)) |
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)) |
(fma.f64 -1 (*.f64 (sqrt.f64 1/8) (*.f64 v v)) (sqrt.f64 1/8)) |
(-.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (*.f64 v v))) |
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1)) |
(*.f64 (sqrt.f64 1/8) (fma.f64 v (neg.f64 v) 1)) |
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)) |
(fma.f64 -1 (*.f64 (sqrt.f64 1/8) (*.f64 v v)) (sqrt.f64 1/8)) |
(-.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (*.f64 v v))) |
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1)) |
(*.f64 (sqrt.f64 1/8) (fma.f64 v (neg.f64 v) 1)) |
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) |
(*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) |
(neg.f64 (*.f64 (sqrt.f64 1/8) (*.f64 v v))) |
(*.f64 (sqrt.f64 1/8) (neg.f64 (*.f64 v v))) |
(*.f64 (sqrt.f64 1/8) (*.f64 v (neg.f64 v))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)) |
(fma.f64 -1 (*.f64 (sqrt.f64 1/8) (*.f64 v v)) (sqrt.f64 1/8)) |
(-.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (*.f64 v v))) |
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1)) |
(*.f64 (sqrt.f64 1/8) (fma.f64 v (neg.f64 v) 1)) |
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)) |
(fma.f64 -1 (*.f64 (sqrt.f64 1/8) (*.f64 v v)) (sqrt.f64 1/8)) |
(-.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (*.f64 v v))) |
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1)) |
(*.f64 (sqrt.f64 1/8) (fma.f64 v (neg.f64 v) 1)) |
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)) |
(fma.f64 -1 (*.f64 (sqrt.f64 1/8) (*.f64 v v)) (sqrt.f64 1/8)) |
(-.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (*.f64 v v))) |
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1)) |
(*.f64 (sqrt.f64 1/8) (fma.f64 v (neg.f64 v) 1)) |
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) |
Compiled 264 to 193 computations (26.9% saved)
8 alts after pruning (0 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 24 | 0 | 24 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 7 | 7 |
| Total | 24 | 8 | 32 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (-.f64 1 (*.f64 v v))) |
| ✓ | 1.0b | (sqrt.f64 1/8) |
| ✓ | 0.2b | (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 -3/2 (*.f64 (*.f64 v v) -9/8))) 1) (sqrt.f64 1/8)) (-.f64 1 (*.f64 v v))) |
| ✓ | 0.3b | (+.f64 (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 1/4)) |
| ✓ | 0.3b | (*.f64 (/.f64 (sqrt.f64 2) (/.f64 4 (fma.f64 (*.f64 v v) -3/2 1))) (-.f64 1 (*.f64 v v))) |
| ✓ | 0.3b | (*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -5/8))) |
| ✓ | 1.0b | (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) |
| ✓ | 0.3b | (*.f64 (*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -3/8))) (-.f64 1 (*.f64 v v))) |
Compiled 111 to 82 computations (26.1% saved)
| Inputs |
|---|
(sqrt.f64 1/8) |
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -5/8))) |
(*.f64 (*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -3/8))) (-.f64 1 (*.f64 v v))) |
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 -3/2 (*.f64 (*.f64 v v) -9/8))) 1) (sqrt.f64 1/8)) (-.f64 1 (*.f64 v v))) |
(+.f64 (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 1/4)) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (-.f64 1 (*.f64 v v))) |
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 4 (fma.f64 (*.f64 v v) -3/2 1))) (-.f64 1 (*.f64 v v))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v))) |
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 4 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)))) (-.f64 1 (*.f64 v v))) |
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (-.f64 1 (*.f64 v v))) |
4 calls:
| 46.0ms | (*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v))) |
| 17.0ms | v |
| 3.0ms | (*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v))) |
| 3.0ms | (*.f64 v v) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | v |
| 0.0b | 1 | (*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v))) |
| 0.0b | 1 | (*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v))) |
| 0.0b | 1 | (*.f64 v v) |
Compiled 204 to 140 computations (31.4% saved)
| Inputs |
|---|
(sqrt.f64 1/8) |
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -5/8))) |
(*.f64 (*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -3/8))) (-.f64 1 (*.f64 v v))) |
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 -3/2 (*.f64 (*.f64 v v) -9/8))) 1) (sqrt.f64 1/8)) (-.f64 1 (*.f64 v v))) |
(+.f64 (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 1/4)) |
| Outputs |
|---|
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 -3/2 (*.f64 (*.f64 v v) -9/8))) 1) (sqrt.f64 1/8)) (-.f64 1 (*.f64 v v))) |
2 calls:
| 11.0ms | v |
| 5.0ms | (*.f64 v v) |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 1 | v |
| 0.2b | 1 | (*.f64 v v) |
Compiled 78 to 52 computations (33.3% saved)
| Inputs |
|---|
(sqrt.f64 1/8) |
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -5/8))) |
(*.f64 (*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -3/8))) (-.f64 1 (*.f64 v v))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -5/8))) |
2 calls:
| 8.0ms | v |
| 6.0ms | (*.f64 v v) |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | v |
| 0.3b | 1 | (*.f64 v v) |
Compiled 43 to 29 computations (32.6% saved)
Total -0.0b remaining (-2.9%)
Threshold costs -0.0b (-2.9%)
| Inputs |
|---|
(sqrt.f64 1/8) |
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) |
2 calls:
| 7.0ms | (*.f64 v v) |
| 7.0ms | v |
| Error | Segments | Branch |
|---|---|---|
| 1.0b | 1 | v |
| 1.0b | 1 | (*.f64 v v) |
Compiled 17 to 12 computations (29.4% saved)
| 1× | egg-herbie |
| 11× | *-commutative_binary64 |
| 6× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 85 |
| 1 | 47 | 85 |
| 2 | 54 | 85 |
| 3 | 58 | 85 |
| 4 | 60 | 85 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (-.f64 1 (*.f64 v v))) |
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 -3/2 (*.f64 (*.f64 v v) -9/8))) 1) (sqrt.f64 1/8)) (-.f64 1 (*.f64 v v))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -5/8))) |
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) |
(sqrt.f64 1/8) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (-.f64 1 (*.f64 v v))) |
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 -3/2 (*.f64 (*.f64 v v) -9/8))) 1) (sqrt.f64 1/8)) (-.f64 1 (*.f64 v v))) |
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (+.f64 1 (*.f64 (*.f64 v v) (+.f64 -3/2 (*.f64 (*.f64 v v) -9/8)))) (sqrt.f64 1/8))) |
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -5/8))) |
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) |
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 1/8)) |
(sqrt.f64 1/8) |
Compiled 62 to 45 computations (27.4% saved)
Compiled 58 to 38 computations (34.5% saved)
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