Time bar (total: 9.2s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 50% | 50% | 4 |
| 0% | 50% | 50% | 5 |
| 12.5% | 37.5% | 50% | 6 |
| 18.7% | 31.2% | 50% | 7 |
| 28.1% | 21.9% | 50% | 8 |
| 32.8% | 17.2% | 50% | 9 |
| 38.2% | 11.7% | 50% | 10 |
| 41% | 9% | 50% | 11 |
| 43.9% | 6% | 50% | 12 |
Compiled 31 to 22 computations (29% saved)
| 2.5s | 8256× | body | 256 | valid |
| 1.0ms | 5× | body | 256 | invalid |
| 2× | egg-herbie |
| 709× | associate-/l*_binary64 |
| 541× | associate-*l*_binary64 |
| 493× | associate-*r*_binary64 |
| 440× | associate-*l/_binary64 |
| 326× | associate-*r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 86 |
| 1 | 102 | 86 |
| 2 | 363 | 76 |
| 3 | 1859 | 72 |
| 4 | 7870 | 72 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v)))) |
(/.f64 (-.f64 1 (*.f64 5 (*.f64 t t))) (*.f64 (*.f64 (*.f64 (PI.f64) v) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 t t)))))) (-.f64 1 (*.f64 t t)))) |
| Outputs |
|---|
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v)))) |
(/.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 (*.f64 v v) 3)))) (-.f64 1 (*.f64 v v))))) |
(/.f64 (/.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 -5 v) v)) (*.f64 (PI.f64) t)) (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 (*.f64 v v) -3))))) (-.f64 1 (*.f64 v v))) |
(/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6)))) (-.f64 1 (*.f64 v v))) |
(/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (PI.f64) t)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) (-.f64 1 (*.f64 v v))) |
(/.f64 (-.f64 1 (*.f64 5 (*.f64 t t))) (*.f64 (*.f64 (*.f64 (PI.f64) v) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 t t)))))) (-.f64 1 (*.f64 t t)))) |
(/.f64 (-.f64 1 (*.f64 5 (*.f64 t t))) (*.f64 (*.f64 v (PI.f64)) (*.f64 (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 -3 (*.f64 t t))))) (-.f64 1 (*.f64 t t))))) |
(/.f64 (/.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 -5 t) t)) (*.f64 v (PI.f64))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 -3 t) t) 2)))) (-.f64 1 (*.f64 t t))) |
(/.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 t t) -5 1) (PI.f64)) v) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 t t) -6)))) (-.f64 1 (*.f64 t t))) |
(/.f64 (/.f64 (fma.f64 t (*.f64 t -5) 1) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 -6 t) t 2)) (*.f64 v (fma.f64 t (neg.f64 t) 1)))) |
Compiled 32 to 23 computations (28.1% saved)
| 1× | egg-herbie |
| 826× | times-frac_binary64 |
| 719× | distribute-neg-frac_binary64 |
| 592× | fma-def_binary64 |
| 466× | associate-/r*_binary64 |
| 411× | distribute-lft-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 43 |
| 1 | 58 | 43 |
| 2 | 190 | 38 |
| 3 | 947 | 36 |
| 4 | 5124 | 36 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v)))) |
| Outputs |
|---|
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v)))) |
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 -3 (*.f64 v v))))) (-.f64 1 (*.f64 v v))))) |
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 t (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 (*.f64 v v) 3)))) (-.f64 1 (*.f64 v v)))))) |
(/.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))) (-.f64 1 (*.f64 v v)))) |
(/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (PI.f64) (*.f64 t (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)) (-.f64 1 (*.f64 v v)))))) |
(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))) (*.f64 (PI.f64) (-.f64 t (*.f64 (*.f64 v v) t)))) |
Compiled 54 to 35 computations (35.2% 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 |
|---|---|---|
| ▶ | 0.4b | (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))) (*.f64 (PI.f64) (-.f64 t (*.f64 (*.f64 v v) t)))) |
| ▶ | 0.6b | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v)))) |
Compiled 56 to 39 computations (30.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 5 (*.f64 v v)) |
| ✓ | 0.2b | (*.f64 (PI.f64) t) |
| ✓ | 0.5b | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v)))) |
| ✓ | 0.5b | (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) |
Compiled 125 to 71 computations (43.2% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | v | @ | inf | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v)))) |
| 3.0ms | t | @ | 0 | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v)))) |
| 2.0ms | t | @ | 0 | (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) |
| 2.0ms | v | @ | 0 | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v)))) |
| 1.0ms | v | @ | 0 | (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) |
| 1× | batch-egg-rewrite |
| 429× | fma-def_binary64 |
| 381× | expm1-udef_binary64 |
| 378× | log1p-udef_binary64 |
| 226× | add-sqr-sqrt_binary64 |
| 216× | *-un-lft-identity_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 77 |
| 1 | 450 | 77 |
| 2 | 6186 | 71 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) |
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v)))) |
(*.f64 (PI.f64) t) |
(*.f64 5 (*.f64 v v)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1)) (pow.f64 (*.f64 (PI.f64) t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 t) (PI.f64)) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) t) 3) (pow.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1)) 3/2) (pow.f64 (*.f64 (PI.f64) t) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1))))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 1 (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1))) (fma.f64 v (neg.f64 v) 1))) (neg.f64 (*.f64 (/.f64 (*.f64 v v) (*.f64 (PI.f64) t)) (/.f64 5 (*.f64 (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1))) (fma.f64 v (neg.f64 v) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1 (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1))) (fma.f64 v (neg.f64 v) 1))) (*.f64 (/.f64 (*.f64 v v) (*.f64 (PI.f64) t)) (/.f64 5 (*.f64 (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1))) (fma.f64 v (neg.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (PI.f64) t)) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1)))) (fma.f64 v (neg.f64 v) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (PI.f64) t)) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 t 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) t)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 v (*.f64 v 5) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (*.f64 v 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 v (*.f64 v 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (sqrt.f64 5)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 125 (pow.f64 v 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 25 (pow.f64 v 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 5) (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 v (*.f64 v 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 125 (pow.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 v (*.f64 v 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 v (*.f64 v 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 v) (log.f64 5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 v) (log.f64 5)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 v (*.f64 v 5) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 v (*.f64 v 5) 1)) (cbrt.f64 (fma.f64 v (*.f64 v 5) 1))) (cbrt.f64 (fma.f64 v (*.f64 v 5) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 v (*.f64 v 5) 1)) (sqrt.f64 (fma.f64 v (*.f64 v 5) 1)) -1))))) |
| 1× | egg-herbie |
| 943× | associate-/l*_binary64 |
| 448× | associate-*l/_binary64 |
| 433× | associate-*r/_binary64 |
| 421× | associate-+l+_binary64 |
| 264× | associate-/l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 201 | 2825 |
| 1 | 660 | 2786 |
| 2 | 2904 | 2702 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2))))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(+.f64 (*.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(+.f64 (*.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -9/8 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64))))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) |
(+.f64 (*.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -27/16 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -9/8 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64))))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))) |
(*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64))))) |
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64))))) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 v (sqrt.f64 -3))))) |
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64))))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 v (sqrt.f64 -3)))))) |
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64))))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 v (sqrt.f64 -3))))))) |
(*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64)))))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64)))))) (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 v (sqrt.f64 -3))))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64)))))) (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 v (sqrt.f64 -3)))))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64)))))) (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 v (sqrt.f64 -3))))))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(+.f64 (*.f64 -5/2 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) |
(+.f64 (*.f64 -5/2 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -53/8 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))) |
(+.f64 (*.f64 -5/2 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -241/16 (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -53/8 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))) |
(*.f64 5 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (PI.f64)))))) |
(-.f64 (+.f64 (*.f64 5 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (PI.f64)))))) (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (*.f64 t (PI.f64))))))) (/.f64 5/18 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) |
(-.f64 (+.f64 (*.f64 -5/2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (+.f64 (*.f64 5 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (*.f64 t (PI.f64)))))) (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (*.f64 t (PI.f64))))))))) (+.f64 (*.f64 2/9 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (*.f64 5/18 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 7) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 5 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (PI.f64)))))) (+.f64 (*.f64 -5/2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (+.f64 (*.f64 -5/2 (/.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 2) (*.f64 (pow.f64 v 7) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (*.f64 -2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 7) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))))))))) (+.f64 (*.f64 2/9 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (+.f64 (*.f64 5/18 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (*.f64 2/9 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 7) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64)))))))))) |
(*.f64 -5 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (PI.f64)))))) |
(+.f64 (*.f64 -5 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (PI.f64)))))) (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (*.f64 5/18 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (pow.f64 v 3)))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (*.f64 -5/2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (*.f64 2/9 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (pow.f64 v 5))) (+.f64 (*.f64 -5 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (PI.f64)))))) (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (*.f64 5/18 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (pow.f64 v 3))))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (*.f64 -5/2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (*.f64 2/9 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (pow.f64 v 5))) (+.f64 (*.f64 -5 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (PI.f64)))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (*.f64 5/18 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (pow.f64 v 3))) (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64)))))) (*.f64 -5/2 (/.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 2) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64)))))))) (*.f64 2/9 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (pow.f64 v 7)))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))) |
(*.f64 t (PI.f64)) |
(*.f64 t (PI.f64)) |
(*.f64 t (PI.f64)) |
(*.f64 t (PI.f64)) |
(*.f64 t (PI.f64)) |
(*.f64 t (PI.f64)) |
(*.f64 t (PI.f64)) |
(*.f64 t (PI.f64)) |
(*.f64 t (PI.f64)) |
(*.f64 t (PI.f64)) |
(*.f64 t (PI.f64)) |
(*.f64 t (PI.f64)) |
(*.f64 5 (pow.f64 v 2)) |
(*.f64 5 (pow.f64 v 2)) |
(*.f64 5 (pow.f64 v 2)) |
(*.f64 5 (pow.f64 v 2)) |
(*.f64 5 (pow.f64 v 2)) |
(*.f64 5 (pow.f64 v 2)) |
(*.f64 5 (pow.f64 v 2)) |
(*.f64 5 (pow.f64 v 2)) |
(*.f64 5 (pow.f64 v 2)) |
(*.f64 5 (pow.f64 v 2)) |
(*.f64 5 (pow.f64 v 2)) |
(*.f64 5 (pow.f64 v 2)) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v))))) |
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v))))) |
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v))))) |
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v))))) |
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v))))) |
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v))))) |
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v))))) |
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v))))) |
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v))))) |
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v))))) |
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v))))) |
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v))))) |
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(+.f64 (*.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(fma.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (*.f64 v v))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(fma.f64 (sqrt.f64 2) (*.f64 t (PI.f64)) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 v v)) (*.f64 (*.f64 t (PI.f64)) -3/2))) |
(*.f64 (*.f64 t (PI.f64)) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) -3/2) (*.f64 v v)) (sqrt.f64 2))) |
(+.f64 (*.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -9/8 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64))))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) |
(fma.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (*.f64 v v))) (fma.f64 -9/8 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v 4))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) |
(fma.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))) (fma.f64 (sqrt.f64 2) (*.f64 t (PI.f64)) (*.f64 -9/8 (*.f64 (*.f64 t (PI.f64)) (*.f64 (sqrt.f64 2) (pow.f64 v 4)))))) |
(fma.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v (*.f64 t v)))) (*.f64 (*.f64 t (PI.f64)) (+.f64 (sqrt.f64 2) (*.f64 -9/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4)))))) |
(+.f64 (*.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -27/16 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -9/8 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64))))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))) |
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(-.f64 (-.f64 (-.f64 (*.f64 (/.f64 -5 (*.f64 (sqrt.f64 2) v)) (/.f64 (sqrt.f64 -1/3) (*.f64 t (PI.f64)))) (/.f64 (fma.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 -5/18 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -1/3)))))) (pow.f64 v 3))) (/.f64 (+.f64 (fma.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (fma.f64 -5/2 (/.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 2) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -1/3))))) (*.f64 -2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -1/3)))))))) (/.f64 -2/9 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -1/3)))))) (pow.f64 v 7))) (/.f64 (fma.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (fma.f64 -5/2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -1/3))))) (/.f64 -2/9 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -1/3))))))) (pow.f64 v 5))) |
(-.f64 (-.f64 (*.f64 (/.f64 -5 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 t v)) (PI.f64))) (sqrt.f64 -1/3)) (/.f64 (fma.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 -5/18 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -1/3)))))) (pow.f64 v 3))) (+.f64 (/.f64 (+.f64 (fma.f64 -5/2 (/.f64 (+.f64 1/81 (*.f64 -1/6 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -1/3))))) (/.f64 (+.f64 -2/27 (*.f64 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2) -2)) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -1/3)))))) (fma.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 -2/9 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -1/3))))))) (pow.f64 v 7)) (/.f64 (fma.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (fma.f64 -5/2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -1/3))))) (/.f64 -2/9 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -1/3))))))) (pow.f64 v 5)))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (*.f64 v v)))))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) t)) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (*.f64 v v)))))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) t)) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (*.f64 v v)))))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) t)) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (*.f64 v v)))))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) t)) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (*.f64 v v)))))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) t)) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (*.f64 v v)))))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) t)) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (*.f64 v v)))))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) t)) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (*.f64 v v)))))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) t)) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (*.f64 v v)))))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) t)) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (*.f64 v v)))))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) t)) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (*.f64 v v)))))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) t)) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (*.f64 v v)))))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) t)) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3))))) |
(*.f64 t (PI.f64)) |
(*.f64 t (PI.f64)) |
(*.f64 t (PI.f64)) |
(*.f64 t (PI.f64)) |
(*.f64 t (PI.f64)) |
(*.f64 t (PI.f64)) |
(*.f64 t (PI.f64)) |
(*.f64 t (PI.f64)) |
(*.f64 t (PI.f64)) |
(*.f64 t (PI.f64)) |
(*.f64 t (PI.f64)) |
(*.f64 t (PI.f64)) |
(*.f64 5 (pow.f64 v 2)) |
(*.f64 (*.f64 v v) 5) |
(*.f64 v (*.f64 v 5)) |
(*.f64 5 (pow.f64 v 2)) |
(*.f64 (*.f64 v v) 5) |
(*.f64 v (*.f64 v 5)) |
(*.f64 5 (pow.f64 v 2)) |
(*.f64 (*.f64 v v) 5) |
(*.f64 v (*.f64 v 5)) |
(*.f64 5 (pow.f64 v 2)) |
(*.f64 (*.f64 v v) 5) |
(*.f64 v (*.f64 v 5)) |
(*.f64 5 (pow.f64 v 2)) |
(*.f64 (*.f64 v v) 5) |
(*.f64 v (*.f64 v 5)) |
(*.f64 5 (pow.f64 v 2)) |
(*.f64 (*.f64 v v) 5) |
(*.f64 v (*.f64 v 5)) |
(*.f64 5 (pow.f64 v 2)) |
(*.f64 (*.f64 v v) 5) |
(*.f64 v (*.f64 v 5)) |
(*.f64 5 (pow.f64 v 2)) |
(*.f64 (*.f64 v v) 5) |
(*.f64 v (*.f64 v 5)) |
(*.f64 5 (pow.f64 v 2)) |
(*.f64 (*.f64 v v) 5) |
(*.f64 v (*.f64 v 5)) |
(*.f64 5 (pow.f64 v 2)) |
(*.f64 (*.f64 v v) 5) |
(*.f64 v (*.f64 v 5)) |
(*.f64 5 (pow.f64 v 2)) |
(*.f64 (*.f64 v v) 5) |
(*.f64 v (*.f64 v 5)) |
(*.f64 5 (pow.f64 v 2)) |
(*.f64 (*.f64 v v) 5) |
(*.f64 v (*.f64 v 5)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (PI.f64) (-.f64 t (*.f64 (*.f64 v v) t))) |
| ✓ | 0.4b | (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))) (*.f64 (PI.f64) (-.f64 t (*.f64 (*.f64 v v) t)))) |
| ✓ | 1.0b | (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))) |
| ✓ | 6.8b | (*.f64 (*.f64 v v) t) |
Compiled 96 to 49 computations (49% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | v | @ | inf | (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))) |
| 3.0ms | t | @ | 0 | (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))) (*.f64 (PI.f64) (-.f64 t (*.f64 (*.f64 v v) t)))) |
| 2.0ms | v | @ | inf | (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))) (*.f64 (PI.f64) (-.f64 t (*.f64 (*.f64 v v) t)))) |
| 2.0ms | t | @ | -inf | (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))) (*.f64 (PI.f64) (-.f64 t (*.f64 (*.f64 v v) t)))) |
| 1.0ms | v | @ | 0 | (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))) (*.f64 (PI.f64) (-.f64 t (*.f64 (*.f64 v v) t)))) |
| 1× | batch-egg-rewrite |
| 757× | prod-diff_binary64 |
| 349× | log1p-udef_binary64 |
| 348× | expm1-udef_binary64 |
| 204× | add-sqr-sqrt_binary64 |
| 195× | *-un-lft-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 77 |
| 1 | 407 | 77 |
| 2 | 5491 | 77 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 v v) t) |
(/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))) |
(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))) (*.f64 (PI.f64) (-.f64 t (*.f64 (*.f64 v v) t)))) |
(*.f64 (PI.f64) (-.f64 t (*.f64 (*.f64 v v) t))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t (PI.f64)) (*.f64 (*.f64 (*.f64 v v) (neg.f64 t)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) t) (*.f64 (PI.f64) (*.f64 (*.f64 v v) (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 t 3) (pow.f64 (*.f64 v (*.f64 v t)) 3)) (PI.f64)) (fma.f64 t t (*.f64 (*.f64 v (*.f64 v t)) (+.f64 t (*.f64 v (*.f64 v t))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 t t) (*.f64 (pow.f64 v 4) (*.f64 t t))) (PI.f64)) (+.f64 t (*.f64 v (*.f64 v t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (-.f64 (pow.f64 t 3) (pow.f64 (*.f64 v (*.f64 v t)) 3))) (fma.f64 t t (*.f64 (*.f64 v (*.f64 v t)) (+.f64 t (*.f64 v (*.f64 v t))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (-.f64 (*.f64 t t) (*.f64 (pow.f64 v 4) (*.f64 t t)))) (+.f64 t (*.f64 v (*.f64 v t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 t (-.f64 1 (*.f64 v v)))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 t (-.f64 1 (*.f64 v v))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 t (-.f64 1 (*.f64 v v))) 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v))))) 1)))))) |
| 1× | egg-herbie |
| 700× | associate-*l*_binary64 |
| 609× | associate-/l*_binary64 |
| 481× | associate-*r/_binary64 |
| 412× | associate-*l/_binary64 |
| 370× | associate-/l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 244 | 2860 |
| 1 | 814 | 2756 |
| 2 | 3254 | 2582 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 v 2) t) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (pow.f64 v 2) t) |
(sqrt.f64 1/2) |
(+.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -5 (sqrt.f64 1/2)) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))) |
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (pow.f64 v 4) (-.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2))) (*.f64 15/4 (/.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -5 (sqrt.f64 1/2)) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))))) |
(+.f64 (*.f64 (pow.f64 v 6) (+.f64 (*.f64 1/2 (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (sqrt.f64 1/2))) (*.f64 -5/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2))))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (pow.f64 v 4) (-.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2))) (*.f64 15/4 (/.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -5 (sqrt.f64 1/2)) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))))) |
(*.f64 -5 (*.f64 v (sqrt.f64 -1/6))) |
(+.f64 (*.f64 -5 (*.f64 v (sqrt.f64 -1/6))) (+.f64 (/.f64 5/36 (*.f64 v (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) v))) |
(-.f64 (+.f64 (*.f64 -5 (*.f64 v (sqrt.f64 -1/6))) (+.f64 (/.f64 (sqrt.f64 -1/6) v) (+.f64 (*.f64 5/36 (/.f64 1 (*.f64 v (sqrt.f64 -1/6)))) (*.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6))))))) (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6))))) |
(-.f64 (+.f64 (*.f64 -5 (*.f64 v (sqrt.f64 -1/6))) (+.f64 (*.f64 5/2 (/.f64 (+.f64 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (*.f64 (pow.f64 v 5) (sqrt.f64 -1/6)))) (+.f64 (/.f64 (sqrt.f64 -1/6) v) (+.f64 (*.f64 5/36 (/.f64 1 (*.f64 v (sqrt.f64 -1/6)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (sqrt.f64 -1/6)))) (*.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6))))))))) (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6))))) |
(*.f64 5 (*.f64 v (sqrt.f64 -1/6))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5/36 (/.f64 1 (sqrt.f64 -1/6))) (sqrt.f64 -1/6)) v)) (*.f64 5 (*.f64 v (sqrt.f64 -1/6)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5/36 (/.f64 1 (sqrt.f64 -1/6))) (sqrt.f64 -1/6)) v)) (+.f64 (*.f64 5 (*.f64 v (sqrt.f64 -1/6))) (*.f64 -1 (/.f64 (-.f64 (*.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6))) (*.f64 1/36 (/.f64 1 (sqrt.f64 -1/6)))) (pow.f64 v 3))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5/36 (/.f64 1 (sqrt.f64 -1/6))) (sqrt.f64 -1/6)) v)) (+.f64 (*.f64 5 (*.f64 v (sqrt.f64 -1/6))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6))) (*.f64 1/36 (/.f64 1 (sqrt.f64 -1/6)))) (pow.f64 v 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6))) (*.f64 5/2 (/.f64 (+.f64 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (sqrt.f64 -1/6)))) (pow.f64 v 5)))))) |
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
(+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -4 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))) |
(+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (+.f64 (*.f64 (pow.f64 v 4) (-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) (*.f64 -4 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) (*.f64 3 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -4 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))))) |
(+.f64 (*.f64 (pow.f64 v 6) (-.f64 (+.f64 (*.f64 -2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) (*.f64 -4 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))) (*.f64 3 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))) (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (+.f64 (*.f64 (pow.f64 v 4) (-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) (*.f64 -4 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) (*.f64 3 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -4 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))))) |
(*.f64 5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64))))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (*.f64 t (PI.f64))))) (*.f64 5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64)))))) (/.f64 5/36 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))))) |
(-.f64 (+.f64 (*.f64 -5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (*.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 5) (*.f64 t (PI.f64))))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (*.f64 t (PI.f64))))) (*.f64 5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64)))))))) (+.f64 (*.f64 1/9 (/.f64 1 (*.f64 (pow.f64 v 5) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (*.f64 5/36 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 7) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (*.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 -5/2 (/.f64 (+.f64 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (*.f64 (pow.f64 v 7) (*.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 5) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 7) (*.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64))))) (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (*.f64 t (PI.f64))))))))))) (+.f64 (*.f64 1/9 (/.f64 1 (*.f64 (pow.f64 v 7) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (+.f64 (*.f64 5/36 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (*.f64 1/9 (/.f64 1 (*.f64 (pow.f64 v 5) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64))))))))) |
(*.f64 -5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64))))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))) (*.f64 5/36 (/.f64 1 (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 3))) (*.f64 -5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64)))))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64))))) (*.f64 1/9 (/.f64 1 (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))) (*.f64 5/36 (/.f64 1 (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 3))) (*.f64 -5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64))))))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))) (*.f64 -5/2 (/.f64 (+.f64 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64))))))) (*.f64 1/9 (/.f64 1 (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64))))) (*.f64 1/9 (/.f64 1 (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))) (*.f64 5/36 (/.f64 1 (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 3))) (*.f64 -5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64)))))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 t (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 v 2))) (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 t (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 v 2))) (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 t (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 v 2))) (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 t (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 v 2))) (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))) |
(*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))) |
(*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))) |
(*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))) |
(*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))) |
(*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))) |
(*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))) |
(*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))) |
(*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))) |
(*.f64 t (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 v 2))) (PI.f64))) |
(*.f64 t (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 v 2))) (PI.f64))) |
(*.f64 t (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 v 2))) (PI.f64))) |
(*.f64 t (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 v 2))) (PI.f64))) |
(*.f64 t (PI.f64)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) (*.f64 t (PI.f64))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) (*.f64 t (PI.f64))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) (*.f64 t (PI.f64))) |
(*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) (*.f64 t (PI.f64))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) (*.f64 t (PI.f64))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) (*.f64 t (PI.f64))) |
(*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) (*.f64 t (PI.f64))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) (*.f64 t (PI.f64))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) (*.f64 t (PI.f64))) |
| Outputs |
|---|
(*.f64 (pow.f64 v 2) t) |
(*.f64 (*.f64 v v) t) |
(*.f64 v (*.f64 v t)) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (*.f64 v v) t) |
(*.f64 v (*.f64 v t)) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (*.f64 v v) t) |
(*.f64 v (*.f64 v t)) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (*.f64 v v) t) |
(*.f64 v (*.f64 v t)) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (*.f64 v v) t) |
(*.f64 v (*.f64 v t)) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (*.f64 v v) t) |
(*.f64 v (*.f64 v t)) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (*.f64 v v) t) |
(*.f64 v (*.f64 v t)) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (*.f64 v v) t) |
(*.f64 v (*.f64 v t)) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (*.f64 v v) t) |
(*.f64 v (*.f64 v t)) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (*.f64 v v) t) |
(*.f64 v (*.f64 v t)) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (*.f64 v v) t) |
(*.f64 v (*.f64 v t)) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (*.f64 v v) t) |
(*.f64 v (*.f64 v t)) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (*.f64 v v) t) |
(*.f64 v (*.f64 v t)) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (*.f64 v v) t) |
(*.f64 v (*.f64 v t)) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (*.f64 v v) t) |
(*.f64 v (*.f64 v t)) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (*.f64 v v) t) |
(*.f64 v (*.f64 v t)) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (*.f64 v v) t) |
(*.f64 v (*.f64 v t)) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (*.f64 v v) t) |
(*.f64 v (*.f64 v t)) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (*.f64 v v) t) |
(*.f64 v (*.f64 v t)) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (*.f64 v v) t) |
(*.f64 v (*.f64 v t)) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (*.f64 v v) t) |
(*.f64 v (*.f64 v t)) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (*.f64 v v) t) |
(*.f64 v (*.f64 v t)) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (*.f64 v v) t) |
(*.f64 v (*.f64 v t)) |
(*.f64 (pow.f64 v 2) t) |
(*.f64 (*.f64 v v) t) |
(*.f64 v (*.f64 v t)) |
(sqrt.f64 1/2) |
(+.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -5 (sqrt.f64 1/2)) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))) |
(+.f64 (sqrt.f64 1/2) (*.f64 (*.f64 v v) (fma.f64 -5 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))) |
(fma.f64 (*.f64 v v) (fma.f64 (sqrt.f64 1/2) -5 (/.f64 3/4 (sqrt.f64 1/2))) (sqrt.f64 1/2)) |
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (pow.f64 v 4) (-.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2))) (*.f64 15/4 (/.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -5 (sqrt.f64 1/2)) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))))) |
(+.f64 (sqrt.f64 1/2) (fma.f64 (pow.f64 v 4) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (neg.f64 (/.f64 15/4 (sqrt.f64 1/2)))) (*.f64 (*.f64 v v) (fma.f64 -5 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))) |
(+.f64 (sqrt.f64 1/2) (fma.f64 (*.f64 v v) (fma.f64 (sqrt.f64 1/2) -5 (/.f64 3/4 (sqrt.f64 1/2))) (*.f64 (pow.f64 v 4) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (/.f64 -15/4 (sqrt.f64 1/2)))))) |
(+.f64 (fma.f64 (*.f64 v v) (fma.f64 (sqrt.f64 1/2) -5 (/.f64 3/4 (sqrt.f64 1/2))) (sqrt.f64 1/2)) (*.f64 (pow.f64 v 4) (+.f64 (/.f64 27/16 (sqrt.f64 1/2)) (/.f64 -15/4 (sqrt.f64 1/2))))) |
(+.f64 (*.f64 (pow.f64 v 6) (+.f64 (*.f64 1/2 (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (sqrt.f64 1/2))) (*.f64 -5/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2))))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (pow.f64 v 4) (-.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2))) (*.f64 15/4 (/.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -5 (sqrt.f64 1/2)) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))))) |
(fma.f64 (pow.f64 v 6) (fma.f64 1/2 (/.f64 (+.f64 27/2 (*.f64 -3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (sqrt.f64 1/2)) (*.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) -5/2)) (+.f64 (sqrt.f64 1/2) (fma.f64 (pow.f64 v 4) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (neg.f64 (/.f64 15/4 (sqrt.f64 1/2)))) (*.f64 (*.f64 v v) (fma.f64 -5 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))))) |
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(*.f64 t (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 v 2))) (PI.f64))) |
(*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))) |
(*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v)))) |
(*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) |
(*.f64 t (PI.f64)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) (*.f64 t (PI.f64))) |
(*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))) |
(*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v)))) |
(*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) (*.f64 t (PI.f64))) |
(*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))) |
(*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v)))) |
(*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) (*.f64 t (PI.f64))) |
(*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))) |
(*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v)))) |
(*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) |
(*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) |
(*.f64 (neg.f64 (*.f64 v v)) (*.f64 t (PI.f64))) |
(*.f64 (*.f64 v v) (neg.f64 (*.f64 t (PI.f64)))) |
(*.f64 v (*.f64 v (*.f64 t (neg.f64 (PI.f64))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) (*.f64 t (PI.f64))) |
(*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))) |
(*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v)))) |
(*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) (*.f64 t (PI.f64))) |
(*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))) |
(*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v)))) |
(*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) (*.f64 t (PI.f64))) |
(*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))) |
(*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v)))) |
(*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) |
(*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) |
(*.f64 (neg.f64 (*.f64 v v)) (*.f64 t (PI.f64))) |
(*.f64 (*.f64 v v) (neg.f64 (*.f64 t (PI.f64)))) |
(*.f64 v (*.f64 v (*.f64 t (neg.f64 (PI.f64))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) (*.f64 t (PI.f64))) |
(*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))) |
(*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v)))) |
(*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) (*.f64 t (PI.f64))) |
(*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))) |
(*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v)))) |
(*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) (*.f64 t (PI.f64))) |
(*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))) |
(*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v)))) |
(*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) |
Compiled 12698 to 8389 computations (33.9% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 318 | 8 | 326 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 319 | 9 | 328 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.9b | (/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
| ✓ | 0.6b | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v)))) |
| 1.1b | (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) | |
| ▶ | 0.3b | (*.f64 (/.f64 1 (PI.f64)) (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 t (-.f64 1 (*.f64 v v))))) |
| ▶ | 1.2b | (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
| 1.1b | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v)))) | |
| ▶ | 0.6b | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) (-.f64 1 (*.f64 v v)))) |
| 0.6b | (*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3))))) | |
| ▶ | 0.7b | (*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 t (-.f64 1 (*.f64 v v)))) (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64))) |
Compiled 368 to 277 computations (24.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) |
| ✓ | 0.4b | (*.f64 (/.f64 1 (PI.f64)) (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 t (-.f64 1 (*.f64 v v))))) |
| ✓ | 0.5b | (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 t (-.f64 1 (*.f64 v v)))) |
| ✓ | 1.0b | (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) |
Compiled 114 to 73 computations (36% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | v | @ | -inf | (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 t (-.f64 1 (*.f64 v v)))) |
| 2.0ms | v | @ | inf | (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 t (-.f64 1 (*.f64 v v)))) |
| 1.0ms | t | @ | 0 | (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 t (-.f64 1 (*.f64 v v)))) |
| 1.0ms | v | @ | 0 | (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 t (-.f64 1 (*.f64 v v)))) |
| 1.0ms | v | @ | -inf | (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) |
| 1× | batch-egg-rewrite |
| 368× | expm1-udef_binary64 |
| 368× | log1p-udef_binary64 |
| 216× | prod-diff_binary64 |
| 216× | add-sqr-sqrt_binary64 |
| 210× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 98 |
| 1 | 435 | 98 |
| 2 | 5946 | 98 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) |
(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 t (-.f64 1 (*.f64 v v)))) |
(*.f64 (/.f64 1 (PI.f64)) (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 t (-.f64 1 (*.f64 v v))))) |
(sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 v (*.f64 v -5) 1) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -5) 1) 2) (fma.f64 v (*.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -5) 1) 2) (fma.f64 v (*.f64 v -6) 2))) (cbrt.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 t (fma.f64 v (neg.f64 v) 1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 t (fma.f64 v (neg.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 v (*.f64 v -5) 1) (/.f64 1 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 t (fma.f64 v (neg.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (/.f64 (/.f64 1 t) (fma.f64 v (neg.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (/.f64 (/.f64 1 t) (fma.f64 v (neg.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) 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| 1× | egg-herbie |
| 648× | associate-*l/_binary64 |
| 470× | cancel-sign-sub-inv_binary64 |
| 447× | associate-/r*_binary64 |
| 368× | fma-def_binary64 |
| 275× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 381 | 4118 |
| 1 | 1279 | 3917 |
| 2 | 4905 | 3804 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 1/2) |
(+.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -5 (sqrt.f64 1/2)) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))) |
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(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))) (*.f64 5/36 (/.f64 1 (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 3))) (*.f64 -5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64)))))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64))))) (*.f64 1/9 (/.f64 1 (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))) (*.f64 5/36 (/.f64 1 (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 3))) (*.f64 -5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64))))))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))) (*.f64 -5/2 (/.f64 (+.f64 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64))))))) (*.f64 1/9 (/.f64 1 (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64))))) (*.f64 1/9 (/.f64 1 (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))) (*.f64 5/36 (/.f64 1 (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 3))) (*.f64 -5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64)))))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))) |
(sqrt.f64 2) |
(+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))) |
(+.f64 (*.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (sqrt.f64 2) (+.f64 (*.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))))) |
(*.f64 (sqrt.f64 -6) v) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -6) v)) (*.f64 (sqrt.f64 -6) v)) |
(-.f64 (+.f64 (/.f64 1 (*.f64 v (sqrt.f64 -6))) (*.f64 (sqrt.f64 -6) v)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 v (sqrt.f64 -6))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))) (*.f64 (sqrt.f64 -6) v))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) |
(*.f64 -1 (*.f64 v (sqrt.f64 -6))) |
(-.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -6))) (/.f64 1 (*.f64 (sqrt.f64 -6) v))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -6))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (/.f64 1 (*.f64 v (sqrt.f64 -6)))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -6))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (+.f64 (/.f64 1 (*.f64 v (sqrt.f64 -6))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))))) |
| Outputs |
|---|
(sqrt.f64 1/2) |
(+.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -5 (sqrt.f64 1/2)) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))) |
(+.f64 (sqrt.f64 1/2) (*.f64 (*.f64 v v) (fma.f64 -5 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))) |
(fma.f64 (*.f64 v v) (fma.f64 (sqrt.f64 1/2) -5 (/.f64 3/4 (sqrt.f64 1/2))) (sqrt.f64 1/2)) |
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (pow.f64 v 4) (-.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2))) (*.f64 15/4 (/.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -5 (sqrt.f64 1/2)) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))))) |
(+.f64 (sqrt.f64 1/2) (fma.f64 (pow.f64 v 4) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (neg.f64 (/.f64 15/4 (sqrt.f64 1/2)))) (*.f64 (*.f64 v v) (fma.f64 -5 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))) |
(+.f64 (sqrt.f64 1/2) (fma.f64 (pow.f64 v 4) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (/.f64 -15/4 (sqrt.f64 1/2))) (*.f64 v (*.f64 v (fma.f64 (sqrt.f64 1/2) -5 (/.f64 3/4 (sqrt.f64 1/2))))))) |
(+.f64 (*.f64 (pow.f64 v 6) (+.f64 (*.f64 1/2 (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (sqrt.f64 1/2))) (*.f64 -5/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2))))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (pow.f64 v 4) (-.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2))) (*.f64 15/4 (/.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -5 (sqrt.f64 1/2)) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))))) |
(fma.f64 (pow.f64 v 6) (fma.f64 1/2 (/.f64 (+.f64 27/2 (*.f64 -3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (sqrt.f64 1/2)) (/.f64 (*.f64 -5/2 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2))) (+.f64 (sqrt.f64 1/2) (fma.f64 (pow.f64 v 4) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (neg.f64 (/.f64 15/4 (sqrt.f64 1/2)))) (*.f64 (*.f64 v v) (fma.f64 -5 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))))) |
(+.f64 (fma.f64 (pow.f64 v 4) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (/.f64 -15/4 (sqrt.f64 1/2))) (*.f64 v (*.f64 v (fma.f64 (sqrt.f64 1/2) -5 (/.f64 3/4 (sqrt.f64 1/2)))))) (fma.f64 (pow.f64 v 6) (fma.f64 1/2 (/.f64 (+.f64 27/2 (*.f64 (-.f64 9 (/.f64 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2) 1/2)) -3/4)) (sqrt.f64 1/2)) (/.f64 -5/2 (/.f64 (sqrt.f64 1/2) (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2))))) (sqrt.f64 1/2))) |
(+.f64 (fma.f64 (pow.f64 v 4) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (/.f64 -15/4 (sqrt.f64 1/2))) (*.f64 v (*.f64 v (fma.f64 (sqrt.f64 1/2) -5 (/.f64 3/4 (sqrt.f64 1/2)))))) (fma.f64 (pow.f64 v 6) (fma.f64 1/2 (/.f64 (-.f64 27/2 (*.f64 3/2 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)))) (sqrt.f64 1/2)) (*.f64 (/.f64 -5/2 (sqrt.f64 1/2)) (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)))) (sqrt.f64 1/2))) |
(*.f64 -5 (*.f64 v (sqrt.f64 -1/6))) |
(*.f64 (*.f64 -5 v) (sqrt.f64 -1/6)) |
(*.f64 (sqrt.f64 -1/6) (*.f64 v -5)) |
(+.f64 (*.f64 -5 (*.f64 v (sqrt.f64 -1/6))) (+.f64 (/.f64 5/36 (*.f64 v (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) v))) |
(fma.f64 -5 (*.f64 v (sqrt.f64 -1/6)) (+.f64 (/.f64 (sqrt.f64 -1/6) v) (/.f64 5/36 (*.f64 v (sqrt.f64 -1/6))))) |
(+.f64 (/.f64 (sqrt.f64 -1/6) v) (fma.f64 -5 (*.f64 v (sqrt.f64 -1/6)) (/.f64 5/36 (*.f64 v (sqrt.f64 -1/6))))) |
(-.f64 (+.f64 (*.f64 -5 (*.f64 v (sqrt.f64 -1/6))) (+.f64 (/.f64 (sqrt.f64 -1/6) v) (+.f64 (*.f64 5/36 (/.f64 1 (*.f64 v (sqrt.f64 -1/6)))) (*.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6))))))) (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6))))) |
(-.f64 (fma.f64 -5 (*.f64 v (sqrt.f64 -1/6)) (+.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) v) (/.f64 5/36 (*.f64 v (sqrt.f64 -1/6)))) (*.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))))) (/.f64 1/36 (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))) |
(fma.f64 -5 (*.f64 v (sqrt.f64 -1/6)) (+.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) v) (/.f64 5/36 (*.f64 v (sqrt.f64 -1/6)))) (/.f64 (fma.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6)) (/.f64 -1/36 (sqrt.f64 -1/6))) (pow.f64 v 3)))) |
(-.f64 (+.f64 (*.f64 -5 (*.f64 v (sqrt.f64 -1/6))) (+.f64 (*.f64 5/2 (/.f64 (+.f64 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (*.f64 (pow.f64 v 5) (sqrt.f64 -1/6)))) (+.f64 (/.f64 (sqrt.f64 -1/6) v) (+.f64 (*.f64 5/36 (/.f64 1 (*.f64 v (sqrt.f64 -1/6)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (sqrt.f64 -1/6)))) (*.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6))))))))) (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6))))) |
(-.f64 (fma.f64 -5 (*.f64 v (sqrt.f64 -1/6)) (fma.f64 5/2 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)) 1/162) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 5))) (+.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) v) (/.f64 5/36 (*.f64 v (sqrt.f64 -1/6)))) (fma.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 5))) (*.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))))))) (/.f64 1/36 (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))) |
(+.f64 (fma.f64 -5 (*.f64 v (sqrt.f64 -1/6)) (+.f64 (+.f64 (/.f64 5/36 (*.f64 v (sqrt.f64 -1/6))) (fma.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3))) (*.f64 (/.f64 -1/2 (pow.f64 v 5)) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6))))) (fma.f64 5/2 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) -1/6) 1/162) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 5))) (/.f64 (sqrt.f64 -1/6) v)))) (/.f64 -1/36 (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))) |
(+.f64 (+.f64 (+.f64 (/.f64 5/36 (*.f64 v (sqrt.f64 -1/6))) (*.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6)) (+.f64 (/.f64 5/2 (pow.f64 v 3)) (/.f64 -1/2 (pow.f64 v 5))))) (fma.f64 5/2 (/.f64 (+.f64 (*.f64 -1/6 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2))) 1/162) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 5))) (/.f64 (sqrt.f64 -1/6) v))) (fma.f64 v (*.f64 -5 (sqrt.f64 -1/6)) (/.f64 -1/36 (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))) |
(*.f64 5 (*.f64 v (sqrt.f64 -1/6))) |
(*.f64 (*.f64 v (sqrt.f64 -1/6)) 5) |
(*.f64 v (*.f64 (sqrt.f64 -1/6) 5)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5/36 (/.f64 1 (sqrt.f64 -1/6))) (sqrt.f64 -1/6)) v)) (*.f64 5 (*.f64 v (sqrt.f64 -1/6)))) |
(fma.f64 -1 (/.f64 (+.f64 (sqrt.f64 -1/6) (/.f64 5/36 (sqrt.f64 -1/6))) v) (*.f64 (*.f64 v (sqrt.f64 -1/6)) 5)) |
(-.f64 (*.f64 v (*.f64 (sqrt.f64 -1/6) 5)) (/.f64 (+.f64 (sqrt.f64 -1/6) (/.f64 5/36 (sqrt.f64 -1/6))) v)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5/36 (/.f64 1 (sqrt.f64 -1/6))) (sqrt.f64 -1/6)) v)) (+.f64 (*.f64 5 (*.f64 v (sqrt.f64 -1/6))) (*.f64 -1 (/.f64 (-.f64 (*.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6))) (*.f64 1/36 (/.f64 1 (sqrt.f64 -1/6)))) (pow.f64 v 3))))) |
(fma.f64 -1 (/.f64 (+.f64 (sqrt.f64 -1/6) (/.f64 5/36 (sqrt.f64 -1/6))) v) (fma.f64 5 (*.f64 v (sqrt.f64 -1/6)) (neg.f64 (/.f64 (-.f64 (*.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6))) (/.f64 1/36 (sqrt.f64 -1/6))) (pow.f64 v 3))))) |
(-.f64 (-.f64 (*.f64 v (*.f64 (sqrt.f64 -1/6) 5)) (/.f64 (+.f64 (sqrt.f64 -1/6) (/.f64 5/36 (sqrt.f64 -1/6))) v)) (/.f64 (fma.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6)) (/.f64 -1/36 (sqrt.f64 -1/6))) (pow.f64 v 3))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5/36 (/.f64 1 (sqrt.f64 -1/6))) (sqrt.f64 -1/6)) v)) (+.f64 (*.f64 5 (*.f64 v (sqrt.f64 -1/6))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6))) (*.f64 1/36 (/.f64 1 (sqrt.f64 -1/6)))) (pow.f64 v 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6))) (*.f64 5/2 (/.f64 (+.f64 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (sqrt.f64 -1/6)))) (pow.f64 v 5)))))) |
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(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -6))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (+.f64 (/.f64 1 (*.f64 v (sqrt.f64 -6))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))))) |
(-.f64 (fma.f64 -1 (*.f64 v (sqrt.f64 -6)) (/.f64 1/2 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (/.f64 1 (*.f64 v (sqrt.f64 -6))) (/.f64 1/2 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5))))) |
(-.f64 (fma.f64 (neg.f64 v) (sqrt.f64 -6) (fma.f64 1/2 (/.f64 (/.f64 -1/6 (sqrt.f64 -6)) (pow.f64 v 3)) (/.f64 -1 (*.f64 v (sqrt.f64 -6))))) (/.f64 1/2 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))) |
(+.f64 (-.f64 (/.f64 (/.f64 -1/12 (sqrt.f64 -6)) (pow.f64 v 3)) (fma.f64 v (sqrt.f64 -6) (/.f64 1 (*.f64 v (sqrt.f64 -6))))) (/.f64 -1/2 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 t (PI.f64)) |
| ✓ | 0.4b | (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
Compiled 16 to 10 computations (37.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | 0 | (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
| 1.0ms | t | @ | inf | (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
| 0.0ms | t | @ | -inf | (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
| 0.0ms | t | @ | inf | (*.f64 t (PI.f64)) |
| 0.0ms | t | @ | 0 | (*.f64 t (PI.f64)) |
| 1× | batch-egg-rewrite |
| 754× | pow1_binary64 |
| 701× | add-log-exp_binary64 |
| 701× | log1p-expm1-u_binary64 |
| 701× | expm1-log1p-u_binary64 |
| 686× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 15 |
| 1 | 146 | 15 |
| 2 | 1863 | 15 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
(*.f64 t (PI.f64)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1 t) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 1 t) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (cbrt.f64 (/.f64 1/2 (pow.f64 (*.f64 t (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 (pow.f64 (*.f64 t (PI.f64)) 2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/2 1/4) (*.f64 (pow.f64 1/2 1/4) (/.f64 (/.f64 1 t) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 (*.f64 t (neg.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 t) (PI.f64)) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) 1) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 t (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 1/2 1/4) 1) (/.f64 (pow.f64 1/2 1/4) (*.f64 t (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 1/2 1/4) t) (/.f64 (pow.f64 1/2 1/4) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (/.f64 (sqrt.f64 1/2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) t) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 1/2 1/4) (PI.f64)) (/.f64 (pow.f64 1/2 1/4) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (/.f64 (sqrt.f64 1/2) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) (PI.f64)) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 t (PI.f64))) 2)) (/.f64 (sqrt.f64 1/2) (cbrt.f64 (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) (pow.f64 (cbrt.f64 (*.f64 t (PI.f64))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 1/2 1/4) (pow.f64 (cbrt.f64 (*.f64 t (PI.f64))) 2)) (/.f64 (pow.f64 1/2 1/4) (cbrt.f64 (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 t (PI.f64)))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) (sqrt.f64 (*.f64 t (PI.f64)))) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (sqrt.f64 (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (/.f64 (sqrt.f64 1/2) (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (neg.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/2 (pow.f64 (*.f64 t (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (*.f64 1/2 (sqrt.f64 1/2)) (pow.f64 (*.f64 t (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 t (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 t (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) t))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 t 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (PI.f64)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 t (PI.f64)) | |
| ✓ | 0.4b | (/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
| ✓ | 1.0b | (/.f64 1 (sqrt.f64 2)) |
Compiled 23 to 17 computations (26.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | 0 | (/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
| 1.0ms | t | @ | inf | (/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
| 0.0ms | t | @ | -inf | (/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
| 1× | batch-egg-rewrite |
| 900× | pow1_binary64 |
| 837× | add-log-exp_binary64 |
| 837× | log1p-expm1-u_binary64 |
| 837× | expm1-log1p-u_binary64 |
| 818× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 19 |
| 1 | 188 | 13 |
| 2 | 2390 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (sqrt.f64 2)) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (cbrt.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 1/2)) (sqrt.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 2) -1) (pow.f64 (cbrt.f64 (sqrt.f64 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 2 1/4) -1) (pow.f64 (pow.f64 2 1/4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 2 -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/2) 1/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (sqrt.f64 1/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 1/2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (/.f64 1 (*.f64 t (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (/.f64 1 (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (cbrt.f64 (/.f64 1/2 (pow.f64 (*.f64 t (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 (pow.f64 (*.f64 t (PI.f64)) 2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 (sqrt.f64 1/2)) (/.f64 1 (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 (*.f64 t (neg.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 t (PI.f64))) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) 1) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 t (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sqrt.f64 1/2)) 1) (/.f64 (sqrt.f64 (sqrt.f64 1/2)) (*.f64 t (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (/.f64 (sqrt.f64 1/2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) t) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sqrt.f64 1/2)) t) (/.f64 (sqrt.f64 (sqrt.f64 1/2)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sqrt.f64 1/2)) (PI.f64)) (/.f64 (sqrt.f64 (sqrt.f64 1/2)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (/.f64 (sqrt.f64 1/2) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) (PI.f64)) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 t (PI.f64))) 2)) (/.f64 (sqrt.f64 1/2) (cbrt.f64 (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) (pow.f64 (cbrt.f64 (*.f64 t (PI.f64))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sqrt.f64 1/2)) (pow.f64 (cbrt.f64 (*.f64 t (PI.f64))) 2)) (/.f64 (sqrt.f64 (sqrt.f64 1/2)) (cbrt.f64 (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 t (PI.f64)))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) (sqrt.f64 (*.f64 t (PI.f64)))) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (sqrt.f64 (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (neg.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/2 (pow.f64 (*.f64 t (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 1/2) (pow.f64 (*.f64 t (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))))) |
| 1× | egg-herbie |
| 13× | associate-/r*_binary64 |
| 5× | *-commutative_binary64 |
| 3× | associate-*r*_binary64 |
| 3× | associate-*l*_binary64 |
| 2× | associate-/l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 156 |
| 1 | 17 | 156 |
| 2 | 32 | 156 |
| 3 | 44 | 156 |
| 4 | 46 | 156 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
| Outputs |
|---|
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 5 (*.f64 v v)) | |
| 0.2b | (*.f64 t (PI.f64)) | |
| ✓ | 0.5b | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) (-.f64 1 (*.f64 v v)))) |
| ✓ | 0.5b | (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) |
Compiled 131 to 74 computations (43.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | t | @ | -inf | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) (-.f64 1 (*.f64 v v)))) |
| 1.0ms | t | @ | 0 | (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) |
| 1.0ms | t | @ | 0 | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) (-.f64 1 (*.f64 v v)))) |
| 1.0ms | v | @ | inf | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) (-.f64 1 (*.f64 v v)))) |
| 1.0ms | v | @ | -inf | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) (-.f64 1 (*.f64 v v)))) |
| 1× | batch-egg-rewrite |
| 629× | fma-def_binary64 |
| 394× | expm1-udef_binary64 |
| 392× | log1p-udef_binary64 |
| 236× | fma-neg_binary64 |
| 233× | add-sqr-sqrt_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 69 |
| 1 | 466 | 63 |
| 2 | 6387 | 61 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) |
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) (-.f64 1 (*.f64 v v)))) |
| Outputs |
|---|
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v) (*.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))))) (sqrt.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))))) (neg.f64 (*.f64 (/.f64 5 (sqrt.f64 2)) (/.f64 (*.f64 v v) (*.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))))))))))) |
| 1× | egg-herbie |
| 938× | associate-/l*_binary64 |
| 449× | associate-*l/_binary64 |
| 431× | associate-*r/_binary64 |
| 420× | associate-+l+_binary64 |
| 273× | associate-/l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 201 | 2681 |
| 1 | 656 | 2594 |
| 2 | 2899 | 2510 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2))))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(+.f64 (*.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(+.f64 (*.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -9/8 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64))))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) |
(+.f64 (*.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -27/16 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -9/8 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64))))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))) |
(*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64))))) |
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64))))) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 v (sqrt.f64 -3))))) |
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64))))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 v (sqrt.f64 -3)))))) |
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64))))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 v (sqrt.f64 -3))))))) |
(*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64)))))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64)))))) (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 v (sqrt.f64 -3))))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64)))))) (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 v (sqrt.f64 -3)))))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64)))))) (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 v (sqrt.f64 -3))))))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(+.f64 (*.f64 -5/2 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) |
(+.f64 (*.f64 -5/2 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -53/8 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))) |
(+.f64 (*.f64 -5/2 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -241/16 (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -53/8 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))) |
(*.f64 5 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (PI.f64)))))) |
(-.f64 (+.f64 (*.f64 5 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (PI.f64)))))) (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (*.f64 t (PI.f64))))))) (/.f64 5/18 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) |
(-.f64 (+.f64 (*.f64 -5/2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (+.f64 (*.f64 5 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (*.f64 t (PI.f64)))))) (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (*.f64 t (PI.f64))))))))) (+.f64 (*.f64 2/9 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (*.f64 5/18 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 7) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 5 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (PI.f64)))))) (+.f64 (*.f64 -5/2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (+.f64 (*.f64 -5/2 (/.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 2) (*.f64 (pow.f64 v 7) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (*.f64 -2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 7) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))))))))) (+.f64 (*.f64 2/9 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (+.f64 (*.f64 5/18 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (*.f64 2/9 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 7) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64)))))))))) |
(*.f64 -5 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (PI.f64)))))) |
(+.f64 (*.f64 -5 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (PI.f64)))))) (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (*.f64 5/18 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (pow.f64 v 3)))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (*.f64 -5/2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (*.f64 2/9 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (pow.f64 v 5))) (+.f64 (*.f64 -5 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (PI.f64)))))) (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (*.f64 5/18 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (pow.f64 v 3))))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (*.f64 -5/2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (*.f64 2/9 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (pow.f64 v 5))) (+.f64 (*.f64 -5 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (PI.f64)))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (*.f64 5/18 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (pow.f64 v 3))) (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64)))))) (*.f64 -5/2 (/.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 2) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64)))))))) (*.f64 2/9 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (pow.f64 v 7)))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 -3 (*.f64 v v) 1))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 -3 (*.f64 v v) 1))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 -3 (*.f64 v v) 1))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 -3 (*.f64 v v) 1))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 -3 (*.f64 v v) 1))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 -3 (*.f64 v v) 1))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 -3 (*.f64 v v) 1))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 -3 (*.f64 v v) 1))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 -3 (*.f64 v v) 1))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 -3 (*.f64 v v) 1))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 -3 (*.f64 v v) 1))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v))))) |
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 -3 (*.f64 v v) 1))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(+.f64 (*.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(fma.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (*.f64 v v))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(fma.f64 (sqrt.f64 2) (*.f64 t (PI.f64)) (*.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 t (*.f64 v v)))))) |
(*.f64 (*.f64 t (PI.f64)) (+.f64 (sqrt.f64 2) (*.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 v v))))) |
(+.f64 (*.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -9/8 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64))))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) |
(fma.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (*.f64 v v))) (fma.f64 -9/8 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v 4))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) |
(fma.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 t (*.f64 v v)))) (fma.f64 (sqrt.f64 2) (*.f64 t (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (*.f64 (PI.f64) (pow.f64 v 4))) -9/8)))) |
(fma.f64 -3/2 (*.f64 (*.f64 t (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 v v))) (*.f64 (*.f64 t (PI.f64)) (+.f64 (sqrt.f64 2) (*.f64 -9/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4)))))) |
(+.f64 (*.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -27/16 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -9/8 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64))))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))) |
(fma.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (*.f64 v v))) (fma.f64 -27/16 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v 6))) (fma.f64 -9/8 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v 4))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))) |
(fma.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 t (*.f64 v v)))) (fma.f64 -27/16 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v 6))) (fma.f64 (sqrt.f64 2) (*.f64 t (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (*.f64 (PI.f64) (pow.f64 v 4))) -9/8))))) |
(+.f64 (*.f64 (*.f64 t (PI.f64)) (+.f64 (*.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 v v))) (*.f64 -9/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))))) (*.f64 (*.f64 t (PI.f64)) (+.f64 (sqrt.f64 2) (*.f64 (*.f64 (sqrt.f64 2) -27/16) (pow.f64 v 6))))) |
(*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64))))) |
(*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -3))))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (*.f64 (PI.f64) (sqrt.f64 -3)) v))) |
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64))))) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 v (sqrt.f64 -3))))) |
(fma.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -3)))) (/.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (*.f64 v (sqrt.f64 -3)))) |
(fma.f64 (sqrt.f64 2) (*.f64 t (*.f64 (*.f64 (PI.f64) (sqrt.f64 -3)) v)) (*.f64 1/2 (*.f64 (/.f64 (sqrt.f64 2) v) (/.f64 t (/.f64 (sqrt.f64 -3) (PI.f64)))))) |
(fma.f64 (sqrt.f64 2) (*.f64 t (*.f64 (*.f64 (PI.f64) (sqrt.f64 -3)) v)) (*.f64 1/2 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) t) (/.f64 (PI.f64) (sqrt.f64 -3))) v))) |
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64))))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 v (sqrt.f64 -3)))))) |
(fma.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -3)))) (fma.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) (/.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (*.f64 v (sqrt.f64 -3))))) |
(fma.f64 (sqrt.f64 2) (*.f64 t (*.f64 (*.f64 (PI.f64) (sqrt.f64 -3)) v)) (fma.f64 1/2 (*.f64 (/.f64 (sqrt.f64 2) v) (/.f64 t (/.f64 (sqrt.f64 -3) (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 2) -1/8) (/.f64 (pow.f64 v 3) (*.f64 (/.f64 t (sqrt.f64 -3)) (/.f64 (PI.f64) -3)))))) |
(fma.f64 (sqrt.f64 2) (*.f64 t (*.f64 (*.f64 (PI.f64) (sqrt.f64 -3)) v)) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) t) (/.f64 (PI.f64) (sqrt.f64 -3))) v) (*.f64 (/.f64 -1/8 (pow.f64 v 3)) (/.f64 (sqrt.f64 2) (/.f64 (*.f64 -3 (sqrt.f64 -3)) (*.f64 t (PI.f64))))))) |
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64))))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 v (sqrt.f64 -3))))))) |
(fma.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -3)))) (fma.f64 1/16 (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 5)) (/.f64 (*.f64 t (PI.f64)) (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) (/.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (*.f64 v (sqrt.f64 -3)))))) |
(fma.f64 (sqrt.f64 2) (*.f64 t (*.f64 (*.f64 (PI.f64) (sqrt.f64 -3)) v)) (fma.f64 1/16 (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 5)) (/.f64 t (/.f64 (pow.f64 (sqrt.f64 -3) 5) (PI.f64)))) (fma.f64 1/2 (*.f64 (/.f64 (sqrt.f64 2) v) (/.f64 t (/.f64 (sqrt.f64 -3) (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 2) -1/8) (/.f64 (pow.f64 v 3) (*.f64 (/.f64 t (sqrt.f64 -3)) (/.f64 (PI.f64) -3))))))) |
(fma.f64 (sqrt.f64 2) (*.f64 t (*.f64 (*.f64 (PI.f64) (sqrt.f64 -3)) v)) (fma.f64 1/16 (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 5)) (*.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -3) 5)) t)) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) t) (/.f64 (PI.f64) (sqrt.f64 -3))) v) (*.f64 (/.f64 -1/8 (pow.f64 v 3)) (/.f64 (sqrt.f64 2) (/.f64 (*.f64 -3 (sqrt.f64 -3)) (*.f64 t (PI.f64)))))))) |
(*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64)))))) |
(neg.f64 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -3)))))) |
(*.f64 (sqrt.f64 2) (neg.f64 (*.f64 t (*.f64 (*.f64 (PI.f64) (sqrt.f64 -3)) v)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (neg.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 -3)) v)))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64)))))) (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 v (sqrt.f64 -3))))) |
(fma.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -3))))) (/.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (*.f64 v (sqrt.f64 -3)))) |
(-.f64 (/.f64 (*.f64 (*.f64 -1/2 (sqrt.f64 2)) (*.f64 t (PI.f64))) (*.f64 v (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (*.f64 (PI.f64) (sqrt.f64 -3)) v)))) |
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(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) t)) (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 -3 (*.f64 v v) 1))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 -5 v) v)) (sqrt.f64 2)) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 1 (fma.f64 -3 (*.f64 v v) 1)))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (*.f64 v v)))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) t)) (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 -3 (*.f64 v v) 1))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 -5 v) v)) (sqrt.f64 2)) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 1 (fma.f64 -3 (*.f64 v v) 1)))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (*.f64 v v)))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) t)) (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 -3 (*.f64 v v) 1))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 -5 v) v)) (sqrt.f64 2)) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 1 (fma.f64 -3 (*.f64 v v) 1)))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (*.f64 v v)))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) t)) (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 -3 (*.f64 v v) 1))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 -5 v) v)) (sqrt.f64 2)) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 1 (fma.f64 -3 (*.f64 v v) 1)))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (*.f64 v v)))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) t)) (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 -3 (*.f64 v v) 1))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 -5 v) v)) (sqrt.f64 2)) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 1 (fma.f64 -3 (*.f64 v v) 1)))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (*.f64 v v)))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) t)) (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 -3 (*.f64 v v) 1))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 -5 v) v)) (sqrt.f64 2)) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 1 (fma.f64 -3 (*.f64 v v) 1)))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (*.f64 v v)))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) t)) (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 -3 (*.f64 v v) 1))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 -5 v) v)) (sqrt.f64 2)) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 1 (fma.f64 -3 (*.f64 v v) 1)))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (*.f64 v v)))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) t)) (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 -3 (*.f64 v v) 1))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 -5 v) v)) (sqrt.f64 2)) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 1 (fma.f64 -3 (*.f64 v v) 1)))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (*.f64 v v)))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) t)) (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 -3 (*.f64 v v) 1))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 -5 v) v)) (sqrt.f64 2)) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 1 (fma.f64 -3 (*.f64 v v) 1)))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 t (-.f64 1 (*.f64 v v))) |
| ✓ | 0.2b | (*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 t (-.f64 1 (*.f64 v v)))) (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64))) |
| ✓ | 1.0b | (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64)) |
Compiled 100 to 63 computations (37% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | v | @ | 0 | (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64)) |
| 1.0ms | v | @ | inf | (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64)) |
| 1.0ms | v | @ | -inf | (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64)) |
| 1.0ms | v | @ | -inf | (*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 t (-.f64 1 (*.f64 v v)))) (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64))) |
| 1.0ms | v | @ | inf | (*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 t (-.f64 1 (*.f64 v v)))) (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64))) |
| 1× | batch-egg-rewrite |
| 370× | expm1-udef_binary64 |
| 370× | log1p-udef_binary64 |
| 304× | log-pow_binary64 |
| 216× | add-sqr-sqrt_binary64 |
| 213× | prod-diff_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 62 |
| 1 | 435 | 62 |
| 2 | 5707 | 62 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64)) |
(*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 t (-.f64 1 (*.f64 v v)))) (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64))) |
(*.f64 t (-.f64 1 (*.f64 v v))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1)) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64))) 2) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/4) (sqrt.f64 (PI.f64))) (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/4) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)) (/.f64 1 (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/4) (*.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/4) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1)) 1) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/4) 1) (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/4) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/4) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/4) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1)) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/4) (sqrt.f64 (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1) (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64))) 1)))))) |
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 t (*.f64 (*.f64 v (neg.f64 v)) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 t (*.f64 t (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 t (-.f64 1 (*.f64 v v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 6)) t) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 4)) t) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (-.f64 1 (pow.f64 v 6))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (-.f64 1 (pow.f64 v 4))) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (-.f64 1 (*.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (-.f64 1 (*.f64 v v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t (-.f64 1 (*.f64 v v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 t (-.f64 1 (*.f64 v v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t (-.f64 1 (*.f64 v v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 t (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t (-.f64 1 (*.f64 v v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 t 3) (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) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 t (-.f64 1 (*.f64 v v)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 t (*.f64 (*.f64 v (neg.f64 v)) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 t (*.f64 t (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t 1 (*.f64 (*.f64 v (neg.f64 v)) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t 1 (*.f64 t (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 t) (pow.f64 (cbrt.f64 t) 2) (*.f64 (*.f64 v (neg.f64 v)) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 t) (pow.f64 (cbrt.f64 t) 2) (*.f64 t (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 t) 2) (cbrt.f64 t) (*.f64 (*.f64 v (neg.f64 v)) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 t) 2) (cbrt.f64 t) (*.f64 t (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 t) (sqrt.f64 t) (*.f64 (*.f64 v (neg.f64 v)) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 t) (sqrt.f64 t) (*.f64 t (*.f64 v (neg.f64 v)))))))) |
| 1× | egg-herbie |
| 671× | associate-/l*_binary64 |
| 590× | associate-*l*_binary64 |
| 519× | associate-*r*_binary64 |
| 506× | associate-*r/_binary64 |
| 440× | associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 205 | 2526 |
| 1 | 687 | 2433 |
| 2 | 2886 | 2341 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64))))) |
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 3/4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (*.f64 (sqrt.f64 1/2) (PI.f64)))))) |
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 3/4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 v 6) (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2))))) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (*.f64 (sqrt.f64 1/2) (PI.f64))))))) |
(/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64))) |
(-.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64))) (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) |
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64))) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) |
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (*.f64 (pow.f64 v 7) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))) (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) |
(*.f64 -1 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64)))) |
(+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64)))) (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) |
(+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (*.f64 (pow.f64 v 7) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))))) |
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
(+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -4 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))) |
(+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (+.f64 (*.f64 (pow.f64 v 4) (-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) (*.f64 -4 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) (*.f64 3 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -4 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))))) |
(+.f64 (*.f64 (pow.f64 v 6) (-.f64 (+.f64 (*.f64 -2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) (*.f64 -4 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))) (*.f64 3 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))) (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (+.f64 (*.f64 (pow.f64 v 4) (-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) (*.f64 -4 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) (*.f64 3 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -4 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))))) |
(*.f64 5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64))))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (*.f64 t (PI.f64))))) (*.f64 5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64)))))) (/.f64 5/36 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))))) |
(-.f64 (+.f64 (*.f64 -5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (*.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 5) (*.f64 t (PI.f64))))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (*.f64 t (PI.f64))))) (*.f64 5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64)))))))) (+.f64 (*.f64 1/9 (/.f64 1 (*.f64 (pow.f64 v 5) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (*.f64 5/36 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 7) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (*.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 -5/2 (/.f64 (+.f64 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (*.f64 (pow.f64 v 7) (*.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 5) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 7) (*.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64))))) (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (*.f64 t (PI.f64))))))))))) (+.f64 (*.f64 1/9 (/.f64 1 (*.f64 (pow.f64 v 7) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (+.f64 (*.f64 5/36 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (*.f64 1/9 (/.f64 1 (*.f64 (pow.f64 v 5) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64))))))))) |
(*.f64 -5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64))))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))) (*.f64 5/36 (/.f64 1 (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 3))) (*.f64 -5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64)))))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64))))) (*.f64 1/9 (/.f64 1 (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))) (*.f64 5/36 (/.f64 1 (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 3))) (*.f64 -5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64))))))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))) (*.f64 -5/2 (/.f64 (+.f64 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64))))))) (*.f64 1/9 (/.f64 1 (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64))))) (*.f64 1/9 (/.f64 1 (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))) (*.f64 5/36 (/.f64 1 (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 3))) (*.f64 -5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64)))))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))) |
(*.f64 (-.f64 1 (pow.f64 v 2)) t) |
(*.f64 (-.f64 1 (pow.f64 v 2)) t) |
(*.f64 (-.f64 1 (pow.f64 v 2)) t) |
(*.f64 (-.f64 1 (pow.f64 v 2)) t) |
(*.f64 (-.f64 1 (pow.f64 v 2)) t) |
(*.f64 (-.f64 1 (pow.f64 v 2)) t) |
(*.f64 (-.f64 1 (pow.f64 v 2)) t) |
(*.f64 (-.f64 1 (pow.f64 v 2)) t) |
(*.f64 (-.f64 1 (pow.f64 v 2)) t) |
(*.f64 (-.f64 1 (pow.f64 v 2)) t) |
(*.f64 (-.f64 1 (pow.f64 v 2)) t) |
(*.f64 (-.f64 1 (pow.f64 v 2)) t) |
t |
(+.f64 t (*.f64 -1 (*.f64 (pow.f64 v 2) t))) |
(+.f64 t (*.f64 -1 (*.f64 (pow.f64 v 2) t))) |
(+.f64 t (*.f64 -1 (*.f64 (pow.f64 v 2) t))) |
(*.f64 -1 (*.f64 (pow.f64 v 2) t)) |
(+.f64 t (*.f64 -1 (*.f64 (pow.f64 v 2) t))) |
(+.f64 t (*.f64 -1 (*.f64 (pow.f64 v 2) t))) |
(+.f64 t (*.f64 -1 (*.f64 (pow.f64 v 2) t))) |
(*.f64 -1 (*.f64 (pow.f64 v 2) t)) |
(+.f64 t (*.f64 -1 (*.f64 (pow.f64 v 2) t))) |
(+.f64 t (*.f64 -1 (*.f64 (pow.f64 v 2) t))) |
(+.f64 t (*.f64 -1 (*.f64 (pow.f64 v 2) t))) |
| Outputs |
|---|
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64))))) |
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 1/2) (PI.f64))))) |
(fma.f64 3/4 (*.f64 (/.f64 v (sqrt.f64 1/2)) (/.f64 v (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(fma.f64 3/4 (/.f64 (/.f64 (*.f64 v v) (PI.f64)) (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 3/4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (*.f64 (sqrt.f64 1/2) (PI.f64)))))) |
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 3/4 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 1/2 (*.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (/.f64 (pow.f64 v 4) (PI.f64)))))) |
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 3/4 (*.f64 (/.f64 v (sqrt.f64 1/2)) (/.f64 v (PI.f64)))))) |
(+.f64 (fma.f64 3/4 (/.f64 (/.f64 (*.f64 v v) (PI.f64)) (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (-.f64 (/.f64 9/2 (sqrt.f64 1/2)) (/.f64 (/.f64 9/16 (sqrt.f64 1/2)) 1/2)) (*.f64 (/.f64 (pow.f64 v 4) (PI.f64)) 1/2))) |
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 3/4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 v 6) (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2))))) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (*.f64 (sqrt.f64 1/2) (PI.f64))))))) |
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 3/4 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 1/2 (+.f64 (*.f64 (/.f64 (pow.f64 v 6) (sqrt.f64 1/2)) (/.f64 (+.f64 27/2 (*.f64 -3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (PI.f64))) (*.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (/.f64 (pow.f64 v 4) (PI.f64))))))) |
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 1/2 (fma.f64 (/.f64 (pow.f64 v 6) (sqrt.f64 1/2)) (/.f64 (-.f64 27/2 (*.f64 3/4 (-.f64 9 (/.f64 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2) 1/2)))) (PI.f64)) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 v 4) (PI.f64))))) (*.f64 3/4 (*.f64 (/.f64 v (sqrt.f64 1/2)) (/.f64 v (PI.f64)))))) |
(+.f64 (fma.f64 3/4 (/.f64 (/.f64 (*.f64 v v) (PI.f64)) (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (/.f64 1/2 (sqrt.f64 1/2)) (+.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (PI.f64))) (*.f64 (pow.f64 v 6) (/.f64 135/16 (PI.f64)))))) |
(/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64))) |
(/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) |
(-.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64))) (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) |
(-.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) (/.f64 1/36 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -1/6))))) |
(+.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) (/.f64 -1/36 (*.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))) |
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64))) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) |
(+.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) (-.f64 (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (*.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5)))) (/.f64 1/36 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))) |
(+.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) (fma.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (*.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5))) (/.f64 -1/36 (*.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))))) |
(+.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) (fma.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 5) (PI.f64)))) (/.f64 -1/36 (*.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))))) |
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (*.f64 (pow.f64 v 7) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))) (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) |
(+.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) (-.f64 (*.f64 -1/2 (+.f64 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)) 1/162) (*.f64 (*.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7))) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (*.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5))))) (/.f64 1/36 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))) |
(+.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) (fma.f64 -1/2 (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (*.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5))) (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) -1/6) 1/162) (*.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 7))))) (/.f64 -1/36 (*.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))))) |
(+.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) (+.f64 (*.f64 (/.f64 -1/2 (*.f64 (PI.f64) (sqrt.f64 -1/6))) (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 v 5)) (/.f64 (+.f64 (*.f64 -1/6 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2))) 1/162) (pow.f64 v 7)))) (/.f64 -1/36 (*.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))))) |
(*.f64 -1 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64)))) |
(neg.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) |
(/.f64 (neg.f64 (sqrt.f64 -1/6)) (*.f64 (PI.f64) v)) |
(+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64)))) (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) |
(fma.f64 -1 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) (/.f64 1/36 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -1/6))))) |
(-.f64 (/.f64 1/36 (*.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) |
(+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))) |
(fma.f64 -1 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) (fma.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (*.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5))) (/.f64 1/36 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))) |
(-.f64 (fma.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (*.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5))) (/.f64 1/36 (*.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) |
(-.f64 (fma.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 5) (PI.f64)))) (/.f64 1/36 (*.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (*.f64 (pow.f64 v 7) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))))) |
(fma.f64 1/2 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)) 1/162) (*.f64 (*.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7))) (fma.f64 -1 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) (fma.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (*.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5))) (/.f64 1/36 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -1/6))))))) |
(fma.f64 1/2 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) -1/6) 1/162) (*.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 7)))) (-.f64 (fma.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (*.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5))) (/.f64 1/36 (*.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)))) |
(fma.f64 1/2 (/.f64 (+.f64 (*.f64 -1/6 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2))) 1/162) (*.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 7)))) (-.f64 (fma.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 5) (PI.f64)))) (/.f64 1/36 (*.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)))) |
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
(/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64)) |
(/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t)) |
(+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -4 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))) |
(+.f64 (/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64)) (*.f64 (*.f64 v v) (fma.f64 -4 (/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t)))))) |
(fma.f64 (*.f64 v v) (fma.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t)) -4 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t)))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t))) |
(+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (+.f64 (*.f64 (pow.f64 v 4) (-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) (*.f64 -4 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) (*.f64 3 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -4 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))))) |
(+.f64 (/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64)) (fma.f64 (pow.f64 v 4) (-.f64 (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t))) (*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64)) -4)) (/.f64 3 (*.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t)))) (*.f64 (*.f64 v v) (fma.f64 -4 (/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t))))))) |
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(+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t)) (fma.f64 (pow.f64 v 4) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t))) (fma.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t)) -4 (/.f64 -3 (*.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t))))) (*.f64 v (*.f64 v (fma.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t)) -4 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t)))))))) |
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t |
(+.f64 t (*.f64 -1 (*.f64 (pow.f64 v 2) t))) |
(*.f64 t (-.f64 1 (*.f64 v v))) |
(-.f64 t (*.f64 v (*.f64 v t))) |
(+.f64 t (*.f64 -1 (*.f64 (pow.f64 v 2) t))) |
(*.f64 t (-.f64 1 (*.f64 v v))) |
(-.f64 t (*.f64 v (*.f64 v t))) |
(+.f64 t (*.f64 -1 (*.f64 (pow.f64 v 2) t))) |
(*.f64 t (-.f64 1 (*.f64 v v))) |
(-.f64 t (*.f64 v (*.f64 v t))) |
(*.f64 -1 (*.f64 (pow.f64 v 2) t)) |
(neg.f64 (*.f64 (*.f64 v v) t)) |
(*.f64 (*.f64 v v) (neg.f64 t)) |
(*.f64 v (neg.f64 (*.f64 v t))) |
(+.f64 t (*.f64 -1 (*.f64 (pow.f64 v 2) t))) |
(*.f64 t (-.f64 1 (*.f64 v v))) |
(-.f64 t (*.f64 v (*.f64 v t))) |
(+.f64 t (*.f64 -1 (*.f64 (pow.f64 v 2) t))) |
(*.f64 t (-.f64 1 (*.f64 v v))) |
(-.f64 t (*.f64 v (*.f64 v t))) |
(+.f64 t (*.f64 -1 (*.f64 (pow.f64 v 2) t))) |
(*.f64 t (-.f64 1 (*.f64 v v))) |
(-.f64 t (*.f64 v (*.f64 v t))) |
(*.f64 -1 (*.f64 (pow.f64 v 2) t)) |
(neg.f64 (*.f64 (*.f64 v v) t)) |
(*.f64 (*.f64 v v) (neg.f64 t)) |
(*.f64 v (neg.f64 (*.f64 v t))) |
(+.f64 t (*.f64 -1 (*.f64 (pow.f64 v 2) t))) |
(*.f64 t (-.f64 1 (*.f64 v v))) |
(-.f64 t (*.f64 v (*.f64 v t))) |
(+.f64 t (*.f64 -1 (*.f64 (pow.f64 v 2) t))) |
(*.f64 t (-.f64 1 (*.f64 v v))) |
(-.f64 t (*.f64 v (*.f64 v t))) |
(+.f64 t (*.f64 -1 (*.f64 (pow.f64 v 2) t))) |
(*.f64 t (-.f64 1 (*.f64 v v))) |
(-.f64 t (*.f64 v (*.f64 v t))) |
Compiled 24326 to 17141 computations (29.5% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 726 | 1 | 727 |
| Fresh | 0 | 3 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 4 | 5 |
| Total | 728 | 8 | 736 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.9b | (/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
| ✓ | 0.6b | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v)))) |
| ▶ | 1.1b | (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
| ✓ | 1.2b | (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
| ▶ | 1.1b | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v)))) |
| ✓ | 0.6b | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) (-.f64 1 (*.f64 v v)))) |
| ▶ | 0.6b | (*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3))))) |
| ▶ | 0.6b | (/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t) |
Compiled 154 to 117 computations (24% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (*.f64 v v) -5) |
| 0.2b | (*.f64 t (PI.f64)) | |
| ✓ | 0.4b | (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
| ✓ | 0.5b | (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))) |
Compiled 137 to 77 computations (43.8% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | 0 | (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
| 1.0ms | t | @ | inf | (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
| 1.0ms | v | @ | inf | (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
| 1.0ms | v | @ | 0 | (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))) |
| 1.0ms | v | @ | inf | (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))) |
| 1× | batch-egg-rewrite |
| 888× | log-prod_binary64 |
| 523× | prod-diff_binary64 |
| 452× | fma-def_binary64 |
| 295× | expm1-udef_binary64 |
| 294× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 57 |
| 1 | 347 | 55 |
| 2 | 4672 | 55 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))) |
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(*.f64 (*.f64 v v) -5) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 v v) -5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 v v)) -5)) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 v v)) -5)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 v v)) -5))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 v v)) -5))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 v v)) -5))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 v (*.f64 v -5) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 v v) -5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 v v) -5)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (sqrt.f64 -5)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -125 (pow.f64 v 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 v 4) 25))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 v v)) -5))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 v v) -5))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -125 (pow.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 v v) -5)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 v v) -5)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 v v) -5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 v) (log.f64 -5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 v) (log.f64 -5)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 v (*.f64 v -5) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 v (*.f64 v -5) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 v (*.f64 v -5) 1)) (pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -5) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -5) 1)) 2) (cbrt.f64 (fma.f64 v (*.f64 v -5) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -5))) (hypot.f64 1 (*.f64 v (sqrt.f64 -5))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -125 (pow.f64 v 6) 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 v 4) 25 (*.f64 5 (*.f64 v v))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 (pow.f64 v 4) 25)) (/.f64 1 (+.f64 1 (*.f64 5 (*.f64 v v)))) -1))))) |
| 1× | egg-herbie |
| 780× | associate-*l/_binary64 |
| 528× | associate-*r/_binary64 |
| 426× | distribute-lft-out_binary64 |
| 412× | associate-/l/_binary64 |
| 399× | associate-/r*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 1423 |
| 1 | 185 | 1399 |
| 2 | 660 | 1385 |
| 3 | 2823 | 1300 |
| 4 | 6040 | 1236 |
| 5 | 7840 | 1236 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) |
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) |
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) |
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) |
(*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) |
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) |
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) |
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(+.f64 (*.f64 -4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) |
(+.f64 (*.f64 -4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))) |
(+.f64 (*.f64 -4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))) |
(/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))) |
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))) |
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))))) |
(/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))) |
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))) |
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))))) |
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(*.f64 -5 (pow.f64 v 2)) |
(*.f64 -5 (pow.f64 v 2)) |
(*.f64 -5 (pow.f64 v 2)) |
(*.f64 -5 (pow.f64 v 2)) |
(*.f64 -5 (pow.f64 v 2)) |
(*.f64 -5 (pow.f64 v 2)) |
(*.f64 -5 (pow.f64 v 2)) |
(*.f64 -5 (pow.f64 v 2)) |
(*.f64 -5 (pow.f64 v 2)) |
(*.f64 -5 (pow.f64 v 2)) |
(*.f64 -5 (pow.f64 v 2)) |
(*.f64 -5 (pow.f64 v 2)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64)))) |
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64)))) |
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64)))) |
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64)))) |
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64)))) |
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64)))) |
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64)))) |
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64)))) |
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64)))) |
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64)))) |
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64)))) |
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64)))) |
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t)) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64)))) |
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64)))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64)))) |
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64)))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64)))) |
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64)))) |
(*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) |
(neg.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 t (PI.f64))))) |
(*.f64 (*.f64 t (*.f64 (PI.f64) (*.f64 v v))) (neg.f64 (sqrt.f64 2))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 v (*.f64 (neg.f64 v) (PI.f64))))) |
(*.f64 (*.f64 v v) (neg.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 v (*.f64 v (neg.f64 (PI.f64)))))) |
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64)))) |
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64)))) |
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64)))) |
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64)))) |
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64)))) |
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64)))) |
(*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) |
(neg.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 t (PI.f64))))) |
(*.f64 (*.f64 t (*.f64 (PI.f64) (*.f64 v v))) (neg.f64 (sqrt.f64 2))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 v (*.f64 (neg.f64 v) (PI.f64))))) |
(*.f64 (*.f64 v v) (neg.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 v (*.f64 v (neg.f64 (PI.f64)))))) |
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64)))) |
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64)))) |
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64)))) |
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64)))) |
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64)))) |
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t))) |
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t))) |
(+.f64 (*.f64 -4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) |
(fma.f64 -4 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) |
(fma.f64 -4 (*.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (*.f64 t (PI.f64)))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) |
(fma.f64 -4 (*.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (*.f64 t (PI.f64)))) (/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))) |
(fma.f64 (/.f64 -4 (sqrt.f64 2)) (/.f64 (/.f64 (*.f64 v v) t) (PI.f64)) (/.f64 1 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t)))) |
(fma.f64 -4 (*.f64 (/.f64 v (sqrt.f64 2)) (/.f64 (/.f64 v (PI.f64)) t)) (/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))) |
(+.f64 (*.f64 -4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))) |
(fma.f64 -4 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (fma.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))) |
(fma.f64 -4 (*.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (*.f64 t (PI.f64)))) (fma.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))) |
(+.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) (*.f64 (/.f64 (/.f64 -4 t) (sqrt.f64 2)) (+.f64 (/.f64 v (/.f64 (PI.f64) v)) (/.f64 (pow.f64 v 4) (PI.f64))))) |
(+.f64 (/.f64 1 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t))) (*.f64 (/.f64 -4 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t))) (+.f64 (*.f64 v v) (pow.f64 v 4)))) |
(fma.f64 -4 (*.f64 (/.f64 v (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (+.f64 (pow.f64 v 3) v)) (/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))) |
(+.f64 (*.f64 -4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))) |
(fma.f64 -4 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (fma.f64 -4 (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (fma.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))) |
(fma.f64 -4 (*.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (*.f64 t (PI.f64)))) (fma.f64 -4 (/.f64 (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) t)) (PI.f64)) (fma.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))) |
(+.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) (fma.f64 -4 (*.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (*.f64 t (PI.f64)))) (*.f64 (/.f64 (/.f64 -4 t) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 v 4) (PI.f64)) (/.f64 (pow.f64 v 6) (PI.f64)))))) |
(+.f64 (/.f64 1 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t))) (*.f64 (/.f64 -4 (*.f64 (sqrt.f64 2) t)) (+.f64 (*.f64 v (/.f64 v (PI.f64))) (+.f64 (/.f64 (pow.f64 v 6) (PI.f64)) (/.f64 (pow.f64 v 4) (PI.f64)))))) |
(+.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) (*.f64 (/.f64 -4 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (+.f64 (*.f64 v v) (+.f64 (pow.f64 v 4) (pow.f64 v 6))))) |
(/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 (/.f64 5 (PI.f64)) t) (sqrt.f64 2)) |
(/.f64 5 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t))) |
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))) |
(+.f64 (/.f64 4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 t (PI.f64))))) (/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) |
(+.f64 (/.f64 (/.f64 4 (sqrt.f64 2)) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) |
(+.f64 (/.f64 (/.f64 4 (sqrt.f64 2)) (*.f64 t (*.f64 v (*.f64 v (PI.f64))))) (/.f64 (/.f64 (/.f64 5 (PI.f64)) t) (sqrt.f64 2))) |
(*.f64 (/.f64 1 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t))) (+.f64 (/.f64 4 (*.f64 v v)) 5)) |
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) (+.f64 5 (/.f64 4 (*.f64 v v)))) |
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))) |
(+.f64 (/.f64 4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 t (PI.f64))))) (+.f64 (/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v 4)))))) |
(+.f64 (/.f64 (/.f64 4 (sqrt.f64 2)) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))) (+.f64 (/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 4 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (pow.f64 v 4))))))) |
(+.f64 (/.f64 (/.f64 4 (sqrt.f64 2)) (*.f64 t (*.f64 v (*.f64 v (PI.f64))))) (+.f64 (/.f64 (/.f64 (/.f64 5 (PI.f64)) t) (sqrt.f64 2)) (/.f64 4 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (pow.f64 v 4))))))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t))) (+.f64 (/.f64 4 (*.f64 v v)) 5)) (/.f64 (/.f64 4 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 t (pow.f64 v 4))))) |
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(*.f64 (*.f64 -5 v) v) |
(*.f64 v (*.f64 v -5)) |
(*.f64 -5 (pow.f64 v 2)) |
(*.f64 (*.f64 v v) -5) |
(*.f64 (*.f64 -5 v) v) |
(*.f64 v (*.f64 v -5)) |
(*.f64 -5 (pow.f64 v 2)) |
(*.f64 (*.f64 v v) -5) |
(*.f64 (*.f64 -5 v) v) |
(*.f64 v (*.f64 v -5)) |
(*.f64 -5 (pow.f64 v 2)) |
(*.f64 (*.f64 v v) -5) |
(*.f64 (*.f64 -5 v) v) |
(*.f64 v (*.f64 v -5)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 t (PI.f64)) | |
| ✓ | 0.4b | (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
| ✓ | 0.5b | (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
Compiled 25 to 16 computations (36% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | -inf | (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
| 0.0ms | t | @ | 0 | (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
| 0.0ms | t | @ | inf | (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
| 0.0ms | t | @ | 0 | (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
| 0.0ms | t | @ | inf | (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
| 1× | batch-egg-rewrite |
| 808× | pow1_binary64 |
| 747× | add-log-exp_binary64 |
| 747× | log1p-expm1-u_binary64 |
| 747× | expm1-log1p-u_binary64 |
| 730× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 182 | 21 |
| 2 | 2119 | 21 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 2) (/.f64 1 (*.f64 t (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (PI.f64)) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 2 (pow.f64 (*.f64 t (PI.f64)) 2))) (cbrt.f64 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (neg.f64 (*.f64 t (PI.f64)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) t) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (pow.f64 (*.f64 t (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 t) (PI.f64)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (*.f64 t (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 t (PI.f64)) 3) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) -2)) (cbrt.f64 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) -1/2) (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 (sqrt.f64 2) (neg.f64 (*.f64 t (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) (pow.f64 (*.f64 t (PI.f64)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) (/.f64 1 (*.f64 t (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 t (PI.f64)) -1) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 (*.f64 t (PI.f64)) 2))) -1) (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) -1) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sqrt.f64 2) t) -1) (pow.f64 (PI.f64) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64))))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 5 (*.f64 v v)) | |
| 0.2b | (*.f64 t (PI.f64)) | |
| ✓ | 0.4b | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v)))) |
| 0.5b | (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
Compiled 71 to 38 computations (46.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | -inf | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v)))) |
| 0.0ms | v | @ | 0 | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v)))) |
| 0.0ms | v | @ | inf | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v)))) |
| 0.0ms | v | @ | -inf | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v)))) |
| 0.0ms | t | @ | 0 | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v)))) |
| 1× | batch-egg-rewrite |
| 866× | prod-diff_binary64 |
| 316× | fma-def_binary64 |
| 301× | expm1-udef_binary64 |
| 299× | log1p-udef_binary64 |
| 178× | add-sqr-sqrt_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 31 |
| 1 | 354 | 31 |
| 2 | 4877 | 29 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 5 (fma.f64 v (neg.f64 v) 1))))) (sqrt.f64 (*.f64 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 5 (fma.f64 v (neg.f64 v) 1)))) (*.f64 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 5 (fma.f64 v (neg.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))))) (fma.f64 (neg.f64 (/.f64 (*.f64 v v) (fma.f64 v (neg.f64 v) 1))) (/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (*.f64 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 5 (fma.f64 v (neg.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))))) (fma.f64 (neg.f64 (/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 (*.f64 v v) (fma.f64 v (neg.f64 v) 1)) (*.f64 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 5 (fma.f64 v (neg.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))))) (fma.f64 (neg.f64 (/.f64 5 (fma.f64 v (neg.f64 v) 1))) (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (*.f64 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 5 (fma.f64 v (neg.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))))) (fma.f64 (neg.f64 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 5 (fma.f64 v (neg.f64 v) 1)) (*.f64 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 5 (fma.f64 v (neg.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))))) (fma.f64 (neg.f64 (/.f64 (*.f64 v (sqrt.f64 5)) (fma.f64 v (neg.f64 v) 1))) (/.f64 (*.f64 v (sqrt.f64 5)) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (*.f64 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 5 (fma.f64 v (neg.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))))) (fma.f64 (neg.f64 (/.f64 (*.f64 v (sqrt.f64 5)) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 (*.f64 v (sqrt.f64 5)) (fma.f64 v (neg.f64 v) 1)) (*.f64 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 5 (fma.f64 v (neg.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 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(*.f64 v (sqrt.f64 5)) (sqrt.f64 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))))))) (/.f64 (*.f64 v (sqrt.f64 5)) (sqrt.f64 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)))))) (*.f64 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 5 (fma.f64 v (neg.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))))) (neg.f64 (*.f64 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 5 (fma.f64 v (neg.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))))) (neg.f64 (*.f64 (*.f64 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 5 (fma.f64 v (neg.f64 v) 1))) 1))) (fma.f64 (neg.f64 (*.f64 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 5 (fma.f64 v (neg.f64 v) 1)))) 1 (*.f64 (*.f64 (/.f64 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(fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v (neg.f64 v) 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (neg.f64 (*.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 v v) -5 1) 3) (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))))) (neg.f64 (*.f64 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 5 (fma.f64 v (neg.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)))))) (cbrt.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))))))) (cbrt.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)))))) (neg.f64 (*.f64 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 5 (fma.f64 v (neg.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)))))) (sqrt.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)))))) (neg.f64 (*.f64 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 5 (fma.f64 v (neg.f64 v) 1))))))))) |
| 1× | egg-herbie |
| 694× | associate-/r/_binary64 |
| 463× | div-sub_binary64 |
| 461× | associate-/r*_binary64 |
| 419× | distribute-lft-out_binary64 |
| 364× | times-frac_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 894 |
| 1 | 173 | 894 |
| 2 | 635 | 856 |
| 3 | 2991 | 771 |
| 4 | 4540 | 707 |
| 5 | 7693 | 707 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(+.f64 (*.f64 -4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) |
(+.f64 (*.f64 -4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))) |
(+.f64 (*.f64 -4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))) |
(/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))) |
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))) |
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))))) |
(/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))) |
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))) |
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))))) |
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
| Outputs |
|---|
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(+.f64 (*.f64 -4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) |
(fma.f64 -4 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) |
(fma.f64 -4 (*.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (*.f64 t (PI.f64)))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) |
(+.f64 (*.f64 -4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))) |
(fma.f64 -4 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (fma.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (*.f64 (/.f64 -4 (*.f64 (sqrt.f64 2) t)) (+.f64 (/.f64 v (/.f64 (PI.f64) v)) (/.f64 (pow.f64 v 4) (PI.f64))))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (*.f64 (/.f64 -4 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (+.f64 (*.f64 v v) (pow.f64 v 4)))) |
(fma.f64 -4 (*.f64 (/.f64 v (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (+.f64 (pow.f64 v 3) v)) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) |
(+.f64 (*.f64 -4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))) |
(fma.f64 -4 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (fma.f64 -4 (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (fma.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))) |
(+.f64 (fma.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (*.f64 (/.f64 -4 (*.f64 (sqrt.f64 2) t)) (+.f64 (/.f64 v (/.f64 (PI.f64) v)) (/.f64 (pow.f64 v 6) (PI.f64))))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (*.f64 (/.f64 -4 (*.f64 (sqrt.f64 2) t)) (+.f64 (*.f64 (/.f64 v (PI.f64)) v) (+.f64 (/.f64 (pow.f64 v 6) (PI.f64)) (/.f64 (pow.f64 v 4) (PI.f64)))))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (*.f64 (/.f64 -4 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (+.f64 (+.f64 (*.f64 v v) (pow.f64 v 6)) (pow.f64 v 4)))) |
(/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))) |
(+.f64 (/.f64 4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (*.f64 v v)))) (/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) |
(+.f64 (/.f64 4 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (*.f64 v v))))) (/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) |
(+.f64 (/.f64 (/.f64 4 (*.f64 v v)) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) |
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (+.f64 (/.f64 4 (*.f64 v v)) 5)) |
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (+.f64 5 (/.f64 4 (*.f64 v v)))) |
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))) |
(+.f64 (/.f64 4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (*.f64 v v)))) (+.f64 (/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v 4)))))) |
(+.f64 (+.f64 (/.f64 4 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (*.f64 v v))))) (/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 4 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (pow.f64 v 4)))))) |
(+.f64 (/.f64 (/.f64 4 (*.f64 v v)) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (+.f64 (/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v 4)))))) |
(+.f64 (/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (*.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))))) |
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (+.f64 5 (+.f64 (/.f64 4 (pow.f64 v 4)) (/.f64 4 (*.f64 v v))))) |
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))))) |
(+.f64 (/.f64 4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v 4)))) (+.f64 (/.f64 4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (*.f64 v v)))) (+.f64 (/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v 6))))))) |
(+.f64 (/.f64 4 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (pow.f64 v 4))))) (+.f64 (/.f64 4 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (*.f64 v v))))) (+.f64 (/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 (/.f64 4 (*.f64 (sqrt.f64 2) (pow.f64 v 6))) (*.f64 t (PI.f64)))))) |
(+.f64 (/.f64 (/.f64 4 (*.f64 v v)) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (+.f64 (/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (+.f64 (/.f64 4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v 6)))) (/.f64 4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v 4))))))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (+.f64 (/.f64 4 (*.f64 v v)) 5)) (*.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (+.f64 (/.f64 4 (pow.f64 v 6)) (/.f64 4 (pow.f64 v 4))))) |
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (+.f64 (+.f64 5 (/.f64 4 (*.f64 v v))) (+.f64 (/.f64 4 (pow.f64 v 4)) (/.f64 4 (pow.f64 v 6))))) |
(/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))) |
(+.f64 (/.f64 4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (*.f64 v v)))) (/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) |
(+.f64 (/.f64 4 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (*.f64 v v))))) (/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) |
(+.f64 (/.f64 (/.f64 4 (*.f64 v v)) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) |
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (+.f64 (/.f64 4 (*.f64 v v)) 5)) |
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (+.f64 5 (/.f64 4 (*.f64 v v)))) |
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))) |
(+.f64 (/.f64 4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (*.f64 v v)))) (+.f64 (/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v 4)))))) |
(+.f64 (+.f64 (/.f64 4 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (*.f64 v v))))) (/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 4 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (pow.f64 v 4)))))) |
(+.f64 (/.f64 (/.f64 4 (*.f64 v v)) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (+.f64 (/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v 4)))))) |
(+.f64 (/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (*.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))))) |
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (+.f64 5 (+.f64 (/.f64 4 (pow.f64 v 4)) (/.f64 4 (*.f64 v v))))) |
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))))) |
(+.f64 (/.f64 4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v 4)))) (+.f64 (/.f64 4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (*.f64 v v)))) (+.f64 (/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v 6))))))) |
(+.f64 (/.f64 4 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (pow.f64 v 4))))) (+.f64 (/.f64 4 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (*.f64 v v))))) (+.f64 (/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 (/.f64 4 (*.f64 (sqrt.f64 2) (pow.f64 v 6))) (*.f64 t (PI.f64)))))) |
(+.f64 (/.f64 (/.f64 4 (*.f64 v v)) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (+.f64 (/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (+.f64 (/.f64 4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v 6)))) (/.f64 4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v 4))))))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (+.f64 (/.f64 4 (*.f64 v v)) 5)) (*.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (+.f64 (/.f64 4 (pow.f64 v 6)) (/.f64 4 (pow.f64 v 4))))) |
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (+.f64 (+.f64 5 (/.f64 4 (*.f64 v v))) (+.f64 (/.f64 4 (pow.f64 v 4)) (/.f64 4 (pow.f64 v 6))))) |
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (neg.f64 (*.f64 (*.f64 t (PI.f64)) (fma.f64 v v -1))))) |
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (neg.f64 (*.f64 (*.f64 t (PI.f64)) (fma.f64 v v -1))))) |
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (neg.f64 (*.f64 (*.f64 t (PI.f64)) (fma.f64 v v -1))))) |
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (neg.f64 (*.f64 (*.f64 t (PI.f64)) (fma.f64 v v -1))))) |
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (neg.f64 (*.f64 (*.f64 t (PI.f64)) (fma.f64 v v -1))))) |
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (neg.f64 (*.f64 (*.f64 t (PI.f64)) (fma.f64 v v -1))))) |
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (neg.f64 (*.f64 (*.f64 t (PI.f64)) (fma.f64 v v -1))))) |
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (neg.f64 (*.f64 (*.f64 t (PI.f64)) (fma.f64 v v -1))))) |
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (neg.f64 (*.f64 (*.f64 t (PI.f64)) (fma.f64 v v -1))))) |
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (neg.f64 (*.f64 (*.f64 t (PI.f64)) (fma.f64 v v -1))))) |
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (neg.f64 (*.f64 (*.f64 t (PI.f64)) (fma.f64 v v -1))))) |
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (neg.f64 (*.f64 (*.f64 t (PI.f64)) (fma.f64 v v -1))))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t) |
Compiled 26 to 21 computations (19.2% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | t | @ | 0 | (/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t) |
| 0.0ms | t | @ | inf | (/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t) |
| 0.0ms | t | @ | -inf | (/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t) |
| 1× | batch-egg-rewrite |
| 882× | pow1_binary64 |
| 818× | add-log-exp_binary64 |
| 818× | log1p-expm1-u_binary64 |
| 818× | expm1-log1p-u_binary64 |
| 799× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 13 |
| 1 | 188 | 13 |
| 2 | 2334 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t))) (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t))) 2) (cbrt.f64 (/.f64 1 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 2)) -2)) (*.f64 (/.f64 1 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 2)))) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t))) (/.f64 1 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 2)) -1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 2)) -1/2) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 (PI.f64) (sqrt.f64 2))) (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 2)) -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 2)))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 2)) -1/2) 1) (/.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 2)) -1/2) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 2)) -2)) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 1 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 2)) -1/2) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 2)) -1/2) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 2)) -2)) (sqrt.f64 t)) (/.f64 (/.f64 1 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 2)))) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 2)) -2) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t)))))))) |
| 1× | egg-herbie |
| 13× | associate-/r*_binary64 |
| 5× | *-commutative_binary64 |
| 3× | associate-*r*_binary64 |
| 3× | associate-*l*_binary64 |
| 2× | associate-/l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 156 |
| 1 | 17 | 156 |
| 2 | 32 | 156 |
| 3 | 44 | 156 |
| 4 | 46 | 156 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
| Outputs |
|---|
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
Compiled 20356 to 13283 computations (34.7% saved)
11 alts after pruning (3 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 449 | 3 | 452 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 7 | 7 |
| Total | 449 | 11 | 460 |
| Status | Error | Program |
|---|---|---|
| ▶ | 1.1b | (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) (/.f64 1 (PI.f64)))) |
| ✓ | 1.2b | (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
| ✓ | 0.6b | (/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t) |
| ▶ | 1.4b | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 (*.f64 t (PI.f64)) (pow.f64 2 -1/2)) (-.f64 1 (*.f64 v v)))) |
| ✓ | 0.9b | (/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
| ✓ | 0.6b | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v)))) |
| ✓ | 1.1b | (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
| ✓ | 1.1b | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v)))) |
| ✓ | 0.6b | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) (-.f64 1 (*.f64 v v)))) |
| ✓ | 0.6b | (*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3))))) |
| ▶ | 1.4b | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 1 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64)))) (-.f64 1 (*.f64 v v)))) |
Compiled 214 to 164 computations (23.4% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (/.f64 (*.f64 (sqrt.f64 2) t) (/.f64 1 (PI.f64))) |
| ✓ | 0.4b | (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) (/.f64 1 (PI.f64)))) |
| ✓ | 0.4b | (*.f64 (sqrt.f64 2) t) |
Compiled 33 to 26 computations (21.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | 0 | (*.f64 (sqrt.f64 2) t) |
| 1.0ms | t | @ | -inf | (*.f64 (sqrt.f64 2) t) |
| 0.0ms | t | @ | inf | (*.f64 (sqrt.f64 2) t) |
| 0.0ms | t | @ | 0 | (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) (/.f64 1 (PI.f64)))) |
| 0.0ms | t | @ | -inf | (/.f64 (*.f64 (sqrt.f64 2) t) (/.f64 1 (PI.f64))) |
| 1× | batch-egg-rewrite |
| 503× | log-prod_binary64 |
| 398× | exp-prod_binary64 |
| 305× | pow-prod-down_binary64 |
| 247× | pow2_binary64 |
| 177× | pow-unpow_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 35 |
| 1 | 214 | 29 |
| 2 | 2758 | 27 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 2) t) |
(/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) (/.f64 1 (PI.f64)))) |
(/.f64 (*.f64 (sqrt.f64 2) t) (/.f64 1 (PI.f64))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) t)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) t))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 2) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 t (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 2 -1/2) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 2 (*.f64 t t))) (/.f64 1 (cbrt.f64 (*.f64 (sqrt.f64 2) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) t)) (pow.f64 (*.f64 (sqrt.f64 2) t) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (neg.f64 t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (sqrt.f64 2) t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (*.f64 t t)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 2 -1/2) t) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 2) t))) 2)) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 2) t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 2) t)))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 2) t))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) t))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 2) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 2) t))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) t))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) t)) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (pow.f64 2 -1/2) t) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (pow.f64 2 -1/2) t) (PI.f64)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (pow.f64 2 -1/2) t) (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (pow.f64 2 -1/2) t) (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (pow.f64 2 -1/2) t) (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (pow.f64 2 -1/2) t) (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (pow.f64 2 -1/2) t) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (/.f64 (pow.f64 2 -1/2) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (pow.f64 2 -1/2) t) (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) -2)))))) 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(PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 2) t) 3) (pow.f64 (PI.f64) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (pow.f64 2 -1/2) t) (PI.f64))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 (pow.f64 2 -1/2) t) (PI.f64))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 2) 1/2) (neg.f64 (log.f64 (*.f64 t (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (neg.f64 (log.f64 (*.f64 t (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) t)) 1) (neg.f64 (log.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 2) t)) (*.f64 (log.f64 (PI.f64)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) t)) 1) (*.f64 (log.f64 (PI.f64)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 2) t)) (*.f64 (neg.f64 (log.f64 (PI.f64))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) t)) 1) (*.f64 (neg.f64 (log.f64 (PI.f64))) 1))))))) |
| 1× | egg-herbie |
| 13× | associate-/r*_binary64 |
| 5× | *-commutative_binary64 |
| 3× | associate-*r*_binary64 |
| 3× | associate-*l*_binary64 |
| 2× | associate-/l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 276 |
| 1 | 17 | 276 |
| 2 | 32 | 276 |
| 3 | 44 | 276 |
| 4 | 46 | 276 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
| Outputs |
|---|
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 t (PI.f64)) | |
| ✓ | 0.3b | (/.f64 1 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64)))) |
| ✓ | 0.4b | (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64))) |
| ✓ | 0.4b | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 1 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64)))) (-.f64 1 (*.f64 v v)))) |
Compiled 89 to 53 computations (40.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | t | @ | inf | (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64))) |
| 1.0ms | v | @ | 0 | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 1 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64)))) (-.f64 1 (*.f64 v v)))) |
| 1.0ms | t | @ | 0 | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 1 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64)))) (-.f64 1 (*.f64 v v)))) |
| 1.0ms | t | @ | 0 | (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64))) |
| 1.0ms | v | @ | inf | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 1 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64)))) (-.f64 1 (*.f64 v v)))) |
| 1× | batch-egg-rewrite |
| 950× | prod-diff_binary64 |
| 344× | log1p-udef_binary64 |
| 207× | add-sqr-sqrt_binary64 |
| 197× | pow1_binary64 |
| 196× | *-un-lft-identity_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 57 |
| 1 | 413 | 51 |
| 2 | 5826 | 51 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 1 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64)))) (-.f64 1 (*.f64 v v)))) |
(/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64))) |
(/.f64 1 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))) (neg.f64 (*.f64 5 (/.f64 (*.f64 v v) (*.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))) (neg.f64 (*.f64 (*.f64 5 (/.f64 (*.f64 v v) (*.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 2)) (-.f64 1 (*.f64 v v))))) 1))) (fma.f64 (neg.f64 (*.f64 5 (/.f64 (*.f64 v v) (*.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))))) 1 (*.f64 (*.f64 5 (/.f64 (*.f64 v v) (*.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 2)) (-.f64 1 (*.f64 v v))))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v)))) (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))) (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t 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(pow.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 t (PI.f64)) 3) (*.f64 (sqrt.f64 1/2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 t (PI.f64))) (log.f64 (sqrt.f64 1/2)))))))) |
| 1× | egg-herbie |
| 484× | cancel-sign-sub_binary64 |
| 364× | fma-def_binary64 |
| 338× | sub-neg_binary64 |
| 326× | distribute-neg-frac_binary64 |
| 310× | distribute-rgt-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 1325 |
| 1 | 209 | 1305 |
| 2 | 818 | 1098 |
| 3 | 4594 | 1008 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
(+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))) |
(+.f64 (*.f64 (pow.f64 v 4) (-.f64 (*.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))) (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))) |
(+.f64 (*.f64 (pow.f64 v 4) (-.f64 (*.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))) (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (+.f64 (*.f64 (pow.f64 v 6) (-.f64 (*.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))) (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))))) |
(*.f64 5 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (*.f64 5 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) (*.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (*.f64 5 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64))))) (*.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 5 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (*.f64 t (PI.f64)))))))) (+.f64 (*.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (*.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (*.f64 t (PI.f64)))))))) |
(*.f64 5 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (*.f64 5 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) (*.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (*.f64 5 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64))))) (*.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 5 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (*.f64 t (PI.f64)))))))) (+.f64 (*.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (*.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (*.f64 t (PI.f64)))))))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (sqrt.f64 1/2)) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (sqrt.f64 1/2)) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (sqrt.f64 1/2)) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (sqrt.f64 1/2)) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (sqrt.f64 1/2)) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (sqrt.f64 1/2)) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (sqrt.f64 1/2)) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (sqrt.f64 1/2)) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (sqrt.f64 1/2)) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (sqrt.f64 1/2)) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (sqrt.f64 1/2)) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (sqrt.f64 1/2)) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
(/.f64 (*.f64 t (PI.f64)) (sqrt.f64 1/2)) |
(/.f64 (*.f64 t (PI.f64)) (sqrt.f64 1/2)) |
(/.f64 (*.f64 t (PI.f64)) (sqrt.f64 1/2)) |
(/.f64 (*.f64 t (PI.f64)) (sqrt.f64 1/2)) |
(/.f64 (*.f64 t (PI.f64)) (sqrt.f64 1/2)) |
(/.f64 (*.f64 t (PI.f64)) (sqrt.f64 1/2)) |
(/.f64 (*.f64 t (PI.f64)) (sqrt.f64 1/2)) |
(/.f64 (*.f64 t (PI.f64)) (sqrt.f64 1/2)) |
(/.f64 (*.f64 t (PI.f64)) (sqrt.f64 1/2)) |
(/.f64 (*.f64 t (PI.f64)) (sqrt.f64 1/2)) |
(/.f64 (*.f64 t (PI.f64)) (sqrt.f64 1/2)) |
(/.f64 (*.f64 t (PI.f64)) (sqrt.f64 1/2)) |
| Outputs |
|---|
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
(+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))) |
(+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (*.f64 (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) -4))) |
(fma.f64 (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) -4) (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (+.f64 1 (*.f64 (*.f64 v v) -4))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 (*.f64 (*.f64 v v) -4) -1)) |
(+.f64 (*.f64 (pow.f64 v 4) (-.f64 (*.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))) (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))) |
(fma.f64 (pow.f64 v 4) (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) -4) (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (*.f64 (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) -4)))) |
(fma.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) -4) (pow.f64 v 4) (fma.f64 (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) -4) (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) |
(+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 -4 t)) (+.f64 (*.f64 v v) (pow.f64 v 4)))) |
(+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) -4) (+.f64 (*.f64 v v) (pow.f64 v 4)))) |
(+.f64 (*.f64 (pow.f64 v 4) (-.f64 (*.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))) (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (+.f64 (*.f64 (pow.f64 v 6) (-.f64 (*.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))) (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))))) |
(fma.f64 (pow.f64 v 4) (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) -4) (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) -4) (+.f64 (pow.f64 v 6) (*.f64 v v))))) |
(fma.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) -4) (pow.f64 v 4) (fma.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) -4) (+.f64 (*.f64 v v) (pow.f64 v 6)) (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) |
(+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 -4 t)) (+.f64 (fma.f64 v v (pow.f64 v 6)) (pow.f64 v 4)))) |
(+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) -4) (+.f64 (fma.f64 v v (pow.f64 v 6)) (pow.f64 v 4)))) |
(*.f64 5 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) 5) |
(*.f64 (/.f64 5 t) (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(/.f64 (*.f64 (/.f64 5 (PI.f64)) (sqrt.f64 1/2)) t) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 5 t)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (*.f64 5 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) (*.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) |
(+.f64 (fma.f64 -1 (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 v v)) (*.f64 t (PI.f64))) (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) 5)) (*.f64 5 (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 v v)) (*.f64 t (PI.f64))))) |
(fma.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))) (fma.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) 5 (/.f64 (*.f64 (sqrt.f64 1/2) 5) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))))) |
(fma.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) 5 (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))) 4)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (*.f64 5 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64))))) (*.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))))) |
(-.f64 (fma.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v 4))) (fma.f64 -1 (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 v v)) (*.f64 t (PI.f64))) (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) 5))) (*.f64 -5 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v 4))) (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 v v)) (*.f64 t (PI.f64)))))) |
(-.f64 (-.f64 (-.f64 (*.f64 (/.f64 5 t) (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (*.f64 t (*.f64 (PI.f64) (*.f64 v v))))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 t (pow.f64 v 4))))) (*.f64 -5 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 t (pow.f64 v 4))))))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (+.f64 5 (/.f64 -1 (*.f64 v v)))) (+.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (*.f64 (PI.f64) (pow.f64 v 4)))) 4) (/.f64 (/.f64 (*.f64 (/.f64 5 (PI.f64)) (sqrt.f64 1/2)) t) (*.f64 v v)))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 5 t)) (*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))) (-.f64 (/.f64 1 (*.f64 v v)) -1)) 4)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 5 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (*.f64 t (PI.f64)))))))) (+.f64 (*.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (*.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (*.f64 t (PI.f64)))))))) |
(-.f64 (fma.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v 4))) (fma.f64 -1 (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 v v)) (*.f64 t (PI.f64))) (fma.f64 5 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (neg.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v 6))))))) (fma.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v 4))) (*.f64 -5 (+.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 v v)) (*.f64 t (PI.f64))) (/.f64 (sqrt.f64 1/2) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v 6))))))) |
(-.f64 (-.f64 (-.f64 (-.f64 (*.f64 (/.f64 5 t) (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (*.f64 t (*.f64 (PI.f64) (*.f64 v v))))) (/.f64 (sqrt.f64 1/2) (*.f64 (*.f64 (pow.f64 v 6) (PI.f64)) t))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 t (pow.f64 v 4))))) (*.f64 -5 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 t (pow.f64 v 4)))) (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 (sqrt.f64 1/2) (*.f64 (*.f64 (pow.f64 v 6) (PI.f64)) t)))))) |
(+.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (+.f64 5 (/.f64 -1 (*.f64 v v)))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 t (pow.f64 v 6))))) (-.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (*.f64 (PI.f64) (pow.f64 v 4)))) 4) (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (+.f64 (/.f64 -5 (*.f64 v v)) (/.f64 -5 (pow.f64 v 6)))))) |
(+.f64 (*.f64 -4 (-.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (+.f64 (/.f64 -1 (*.f64 v v)) (/.f64 -1 (pow.f64 v 4)))) (/.f64 (sqrt.f64 1/2) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v 6))))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 5 t))) |
(*.f64 5 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) 5) |
(*.f64 (/.f64 5 t) (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(/.f64 (*.f64 (/.f64 5 (PI.f64)) (sqrt.f64 1/2)) t) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 5 t)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (*.f64 5 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) (*.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) |
(+.f64 (fma.f64 -1 (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 v v)) (*.f64 t (PI.f64))) (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) 5)) (*.f64 5 (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 v v)) (*.f64 t (PI.f64))))) |
(fma.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))) (fma.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) 5 (/.f64 (*.f64 (sqrt.f64 1/2) 5) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))))) |
(fma.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) 5 (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))) 4)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (*.f64 5 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64))))) (*.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))))) |
(-.f64 (fma.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v 4))) (fma.f64 -1 (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 v v)) (*.f64 t (PI.f64))) (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) 5))) (*.f64 -5 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v 4))) (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 v v)) (*.f64 t (PI.f64)))))) |
(-.f64 (-.f64 (-.f64 (*.f64 (/.f64 5 t) (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (*.f64 t (*.f64 (PI.f64) (*.f64 v v))))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 t (pow.f64 v 4))))) (*.f64 -5 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 t (pow.f64 v 4))))))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (+.f64 5 (/.f64 -1 (*.f64 v v)))) (+.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (*.f64 (PI.f64) (pow.f64 v 4)))) 4) (/.f64 (/.f64 (*.f64 (/.f64 5 (PI.f64)) (sqrt.f64 1/2)) t) (*.f64 v v)))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 5 t)) (*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))) (-.f64 (/.f64 1 (*.f64 v v)) -1)) 4)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 5 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (*.f64 t (PI.f64)))))))) (+.f64 (*.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (*.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (*.f64 t (PI.f64)))))))) |
(-.f64 (fma.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v 4))) (fma.f64 -1 (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 v v)) (*.f64 t (PI.f64))) (fma.f64 5 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (neg.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v 6))))))) (fma.f64 -5 (/.f64 (sqrt.f64 1/2) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v 4))) (*.f64 -5 (+.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 v v)) (*.f64 t (PI.f64))) (/.f64 (sqrt.f64 1/2) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v 6))))))) |
(-.f64 (-.f64 (-.f64 (-.f64 (*.f64 (/.f64 5 t) (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (*.f64 t (*.f64 (PI.f64) (*.f64 v v))))) (/.f64 (sqrt.f64 1/2) (*.f64 (*.f64 (pow.f64 v 6) (PI.f64)) t))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 t (pow.f64 v 4))))) (*.f64 -5 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 t (pow.f64 v 4)))) (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 (sqrt.f64 1/2) (*.f64 (*.f64 (pow.f64 v 6) (PI.f64)) t)))))) |
(+.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (+.f64 5 (/.f64 -1 (*.f64 v v)))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 t (pow.f64 v 6))))) (-.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (*.f64 (PI.f64) (pow.f64 v 4)))) 4) (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (+.f64 (/.f64 -5 (*.f64 v v)) (/.f64 -5 (pow.f64 v 6)))))) |
(+.f64 (*.f64 -4 (-.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (+.f64 (/.f64 -1 (*.f64 v v)) (/.f64 -1 (pow.f64 v 4)))) (/.f64 (sqrt.f64 1/2) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v 6))))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 5 t))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (sqrt.f64 1/2)) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) t) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) (sqrt.f64 1/2)) |
(*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (/.f64 (fma.f64 (*.f64 v v) -5 1) (-.f64 1 (*.f64 v v)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) t) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (-.f64 1 (*.f64 v v)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (sqrt.f64 1/2)) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) t) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) (sqrt.f64 1/2)) |
(*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (/.f64 (fma.f64 (*.f64 v v) -5 1) (-.f64 1 (*.f64 v v)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) t) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (-.f64 1 (*.f64 v v)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (sqrt.f64 1/2)) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) t) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) (sqrt.f64 1/2)) |
(*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (/.f64 (fma.f64 (*.f64 v v) -5 1) (-.f64 1 (*.f64 v v)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) t) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (-.f64 1 (*.f64 v v)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (sqrt.f64 1/2)) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) t) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) (sqrt.f64 1/2)) |
(*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (/.f64 (fma.f64 (*.f64 v v) -5 1) (-.f64 1 (*.f64 v v)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) t) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (-.f64 1 (*.f64 v v)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (sqrt.f64 1/2)) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) t) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) (sqrt.f64 1/2)) |
(*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (/.f64 (fma.f64 (*.f64 v v) -5 1) (-.f64 1 (*.f64 v v)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) t) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (-.f64 1 (*.f64 v v)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (sqrt.f64 1/2)) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) t) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) (sqrt.f64 1/2)) |
(*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (/.f64 (fma.f64 (*.f64 v v) -5 1) (-.f64 1 (*.f64 v v)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) t) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (-.f64 1 (*.f64 v v)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (sqrt.f64 1/2)) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) t) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) (sqrt.f64 1/2)) |
(*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (/.f64 (fma.f64 (*.f64 v v) -5 1) (-.f64 1 (*.f64 v v)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) t) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (-.f64 1 (*.f64 v v)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (sqrt.f64 1/2)) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) t) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) (sqrt.f64 1/2)) |
(*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (/.f64 (fma.f64 (*.f64 v v) -5 1) (-.f64 1 (*.f64 v v)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) t) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (-.f64 1 (*.f64 v v)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (sqrt.f64 1/2)) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) t) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) (sqrt.f64 1/2)) |
(*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (/.f64 (fma.f64 (*.f64 v v) -5 1) (-.f64 1 (*.f64 v v)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) t) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (-.f64 1 (*.f64 v v)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (sqrt.f64 1/2)) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) t) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) (sqrt.f64 1/2)) |
(*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (/.f64 (fma.f64 (*.f64 v v) -5 1) (-.f64 1 (*.f64 v v)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) t) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (-.f64 1 (*.f64 v v)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (sqrt.f64 1/2)) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) t) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) (sqrt.f64 1/2)) |
(*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (/.f64 (fma.f64 (*.f64 v v) -5 1) (-.f64 1 (*.f64 v v)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) t) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (-.f64 1 (*.f64 v v)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (sqrt.f64 1/2)) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64)))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) t) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) (sqrt.f64 1/2)) |
(*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (/.f64 (fma.f64 (*.f64 v v) -5 1) (-.f64 1 (*.f64 v v)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) t) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (-.f64 1 (*.f64 v v)))) |
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
(/.f64 (*.f64 t (PI.f64)) (sqrt.f64 1/2)) |
(/.f64 t (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(/.f64 (*.f64 t (PI.f64)) (sqrt.f64 1/2)) |
(/.f64 t (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(/.f64 (*.f64 t (PI.f64)) (sqrt.f64 1/2)) |
(/.f64 t (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(/.f64 (*.f64 t (PI.f64)) (sqrt.f64 1/2)) |
(/.f64 t (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(/.f64 (*.f64 t (PI.f64)) (sqrt.f64 1/2)) |
(/.f64 t (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(/.f64 (*.f64 t (PI.f64)) (sqrt.f64 1/2)) |
(/.f64 t (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(/.f64 (*.f64 t (PI.f64)) (sqrt.f64 1/2)) |
(/.f64 t (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(/.f64 (*.f64 t (PI.f64)) (sqrt.f64 1/2)) |
(/.f64 t (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(/.f64 (*.f64 t (PI.f64)) (sqrt.f64 1/2)) |
(/.f64 t (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(/.f64 (*.f64 t (PI.f64)) (sqrt.f64 1/2)) |
(/.f64 t (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(/.f64 (*.f64 t (PI.f64)) (sqrt.f64 1/2)) |
(/.f64 t (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(/.f64 (*.f64 t (PI.f64)) (sqrt.f64 1/2)) |
(/.f64 t (/.f64 (sqrt.f64 1/2) (PI.f64))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 5 (*.f64 v v)) | |
| 0.2b | (*.f64 t (PI.f64)) | |
| ✓ | 0.4b | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 (*.f64 t (PI.f64)) (pow.f64 2 -1/2)) (-.f64 1 (*.f64 v v)))) |
| ✓ | 0.5b | (/.f64 (*.f64 t (PI.f64)) (pow.f64 2 -1/2)) |
Compiled 76 to 43 computations (43.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | t | @ | -inf | (/.f64 (*.f64 t (PI.f64)) (pow.f64 2 -1/2)) |
| 0.0ms | t | @ | inf | (/.f64 (*.f64 t (PI.f64)) (pow.f64 2 -1/2)) |
| 0.0ms | t | @ | 0 | (/.f64 (*.f64 t (PI.f64)) (pow.f64 2 -1/2)) |
| 0.0ms | v | @ | inf | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 (*.f64 t (PI.f64)) (pow.f64 2 -1/2)) (-.f64 1 (*.f64 v v)))) |
| 0.0ms | v | @ | 0 | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 (*.f64 t (PI.f64)) (pow.f64 2 -1/2)) (-.f64 1 (*.f64 v v)))) |
| 1× | batch-egg-rewrite |
| 927× | prod-diff_binary64 |
| 327× | expm1-udef_binary64 |
| 325× | log1p-udef_binary64 |
| 194× | add-sqr-sqrt_binary64 |
| 185× | pow1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 43 |
| 1 | 386 | 41 |
| 2 | 5452 | 41 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 t (PI.f64)) (pow.f64 2 -1/2)) |
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 (*.f64 t (PI.f64)) (pow.f64 2 -1/2)) (-.f64 1 (*.f64 v v)))) |
| Outputs |
|---|
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(-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 v v))) (*.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -5))) 2) (-.f64 1 (*.f64 v v))) (/.f64 (cbrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -5))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 2))) (-.f64 1 (*.f64 v v)))) 2)) (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (cbrt.f64 (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 2))) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -5))) 2) (pow.f64 (cbrt.f64 (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 2))) (-.f64 1 (*.f64 v v)))) 2)) (cbrt.f64 (*.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -5))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 2))) (-.f64 1 (*.f64 v v)))) 2)) (/.f64 (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -5))) (cbrt.f64 (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 2))) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 2))) (-.f64 1 (*.f64 v v))))) (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (sqrt.f64 (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 2))) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -5))) 2) (sqrt.f64 (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 2))) (-.f64 1 (*.f64 v v))))) (/.f64 (cbrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -5))) (sqrt.f64 (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 2))) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (-.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 (*.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (-.f64 1 (pow.f64 v 4))) (+.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (*.f64 v v)) (*.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 2))) (neg.f64 (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 1 (*.f64 (*.f64 v v) -5))) (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) 3) (pow.f64 (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 2))) (-.f64 1 (*.f64 v v))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (*.f64 (*.f64 v v) -5)) (log.f64 (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 2))) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (*.f64 (*.f64 v v) -5)) (log.f64 (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 2))) (-.f64 1 (*.f64 v v))))) 1)))))) |
| 1× | egg-herbie |
| 694× | associate-/r/_binary64 |
| 466× | div-sub_binary64 |
| 461× | associate-/r*_binary64 |
| 419× | distribute-lft-out_binary64 |
| 364× | times-frac_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 1014 |
| 1 | 173 | 1014 |
| 2 | 635 | 976 |
| 3 | 2989 | 891 |
| 4 | 4526 | 827 |
| 5 | 7676 | 827 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(+.f64 (*.f64 -4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) |
(+.f64 (*.f64 -4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))) |
(+.f64 (*.f64 -4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))) |
(/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))) |
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))) |
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))))) |
(/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))) |
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))) |
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))))) |
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) t) (PI.f64)) |
(/.f64 (/.f64 1 (*.f64 (sqrt.f64 2) t)) (PI.f64)) |
(+.f64 (*.f64 -4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) |
(fma.f64 -4 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) |
(fma.f64 -4 (*.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (*.f64 t (PI.f64)))) (/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) t) (PI.f64))) |
(fma.f64 -4 (*.f64 (/.f64 v (*.f64 (sqrt.f64 2) t)) (/.f64 v (PI.f64))) (/.f64 (/.f64 1 (*.f64 (sqrt.f64 2) t)) (PI.f64))) |
(fma.f64 -4 (*.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (*.f64 t (PI.f64)))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) |
(+.f64 (*.f64 -4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))) |
(fma.f64 -4 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (fma.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))) |
(fma.f64 -4 (*.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (*.f64 t (PI.f64)))) (fma.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) t) (PI.f64)))) |
(+.f64 (/.f64 (/.f64 1 (*.f64 (sqrt.f64 2) t)) (PI.f64)) (*.f64 (/.f64 -4 (*.f64 (sqrt.f64 2) t)) (+.f64 (/.f64 v (/.f64 (PI.f64) v)) (/.f64 (pow.f64 v 4) (PI.f64))))) |
(+.f64 (/.f64 (/.f64 1 (*.f64 (sqrt.f64 2) t)) (PI.f64)) (*.f64 (/.f64 -4 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (+.f64 (*.f64 v v) (pow.f64 v 4)))) |
(fma.f64 -4 (*.f64 (/.f64 v (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (+.f64 v (pow.f64 v 3))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) |
(+.f64 (*.f64 -4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))) |
(fma.f64 -4 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (fma.f64 -4 (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (fma.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))) |
(fma.f64 -4 (*.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (*.f64 t (PI.f64)))) (fma.f64 -4 (/.f64 (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) t)) (PI.f64)) (fma.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) t) (PI.f64))))) |
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(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v)))))) |
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (*.f64 t (PI.f64)) (neg.f64 (*.f64 (sqrt.f64 2) (fma.f64 v v -1))))) |
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64))))) |
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v)))))) |
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (*.f64 t (PI.f64)) (neg.f64 (*.f64 (sqrt.f64 2) (fma.f64 v v -1))))) |
Compiled 39130 to 23874 computations (39% saved)
11 alts after pruning (5 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 752 | 5 | 757 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 4 | 6 | 10 |
| Total | 757 | 11 | 768 |
| Status | Error | Program |
|---|---|---|
| 1.1b | (/.f64 1 (*.f64 (*.f64 (sqrt.f64 2) t) (PI.f64))) | |
| 1.4b | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (/.f64 t (sqrt.f64 1/2)) (PI.f64)) (-.f64 1 (*.f64 v v)))) | |
| 1.4b | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 t (/.f64 (sqrt.f64 1/2) (PI.f64))) (-.f64 1 (*.f64 v v)))) | |
| ✓ | 0.6b | (*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3))))) |
| 1.2b | (/.f64 1 (*.f64 (sqrt.f64 2) (/.f64 1 (/.f64 1 (*.f64 t (PI.f64)))))) | |
| ✓ | 0.9b | (/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
| ✓ | 0.6b | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v)))) |
| ✓ | 1.2b | (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
| ✓ | 0.6b | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) (-.f64 1 (*.f64 v v)))) |
| 1.2b | (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 (*.f64 (*.f64 v v) -4) -1)) | |
| ✓ | 0.6b | (/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t) |
Compiled 206 to 159 computations (22.8% saved)
| Inputs |
|---|
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (*.f64 (sqrt.f64 2) t) (PI.f64))) |
(/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) (/.f64 1 (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (/.f64 1 (/.f64 1 (*.f64 t (PI.f64)))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 (*.f64 (*.f64 v v) -4) -1)) |
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (/.f64 t (sqrt.f64 1/2)) (PI.f64)) (-.f64 1 (*.f64 v v)))) |
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 t (/.f64 (sqrt.f64 1/2) (PI.f64))) (-.f64 1 (*.f64 v v)))) |
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v)))) |
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 (*.f64 t (PI.f64)) (pow.f64 2 -1/2)) (-.f64 1 (*.f64 v v)))) |
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 1 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64)))) (-.f64 1 (*.f64 v v)))) |
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v)))) |
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) (-.f64 1 (*.f64 v v)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3))))) |
(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))) (*.f64 (PI.f64) (-.f64 t (*.f64 (*.f64 v v) t)))) |
(*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 t (-.f64 1 (*.f64 v v)))) (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64))) |
(*.f64 (/.f64 1 (PI.f64)) (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 t (-.f64 1 (*.f64 v v))))) |
| Outputs |
|---|
(*.f64 (/.f64 1 (PI.f64)) (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 t (-.f64 1 (*.f64 v v))))) |
6 calls:
| 12.0ms | t |
| 12.0ms | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v)))) |
| 11.0ms | v |
| 10.0ms | (*.f64 (PI.f64) t) |
| 5.0ms | (*.f64 v v) |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | v |
| 0.3b | 1 | t |
| 0.3b | 1 | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v)))) |
| 0.3b | 1 | (*.f64 v v) |
| 0.3b | 1 | (*.f64 v v) |
| 0.3b | 1 | (*.f64 (PI.f64) t) |
Compiled 394 to 251 computations (36.3% saved)
| Inputs |
|---|
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (*.f64 (sqrt.f64 2) t) (PI.f64))) |
(/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) (/.f64 1 (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (/.f64 1 (/.f64 1 (*.f64 t (PI.f64)))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 (*.f64 (*.f64 v v) -4) -1)) |
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (/.f64 t (sqrt.f64 1/2)) (PI.f64)) (-.f64 1 (*.f64 v v)))) |
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 t (/.f64 (sqrt.f64 1/2) (PI.f64))) (-.f64 1 (*.f64 v v)))) |
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v)))) |
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 (*.f64 t (PI.f64)) (pow.f64 2 -1/2)) (-.f64 1 (*.f64 v v)))) |
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 1 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64)))) (-.f64 1 (*.f64 v v)))) |
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v)))) |
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) (-.f64 1 (*.f64 v v)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3))))) |
(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))) (*.f64 (PI.f64) (-.f64 t (*.f64 (*.f64 v v) t)))) |
(*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 t (-.f64 1 (*.f64 v v)))) (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64))) |
| Outputs |
|---|
(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))) (*.f64 (PI.f64) (-.f64 t (*.f64 (*.f64 v v) t)))) |
6 calls:
| 66.0ms | v |
| 21.0ms | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v)))) |
| 11.0ms | t |
| 10.0ms | (*.f64 (PI.f64) t) |
| 5.0ms | (*.f64 v v) |
| Error | Segments | Branch |
|---|---|---|
| 0.4b | 1 | v |
| 0.4b | 1 | t |
| 0.4b | 1 | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v)))) |
| 0.4b | 1 | (*.f64 v v) |
| 0.4b | 1 | (*.f64 v v) |
| 0.4b | 1 | (*.f64 (PI.f64) t) |
Compiled 368 to 234 computations (36.4% saved)
| Inputs |
|---|
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (*.f64 (sqrt.f64 2) t) (PI.f64))) |
(/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) (/.f64 1 (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (/.f64 1 (/.f64 1 (*.f64 t (PI.f64)))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 (*.f64 (*.f64 v v) -4) -1)) |
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (/.f64 t (sqrt.f64 1/2)) (PI.f64)) (-.f64 1 (*.f64 v v)))) |
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 t (/.f64 (sqrt.f64 1/2) (PI.f64))) (-.f64 1 (*.f64 v v)))) |
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v)))) |
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 (*.f64 t (PI.f64)) (pow.f64 2 -1/2)) (-.f64 1 (*.f64 v v)))) |
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 1 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64)))) (-.f64 1 (*.f64 v v)))) |
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v)))) |
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) (-.f64 1 (*.f64 v v)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3))))) |
| Outputs |
|---|
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v)))) |
5 calls:
| 109.0ms | (*.f64 (PI.f64) t) |
| 10.0ms | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v)))) |
| 9.0ms | t |
| 9.0ms | v |
| 4.0ms | (*.f64 v v) |
| Error | Segments | Branch |
|---|---|---|
| 0.6b | 1 | v |
| 0.6b | 1 | t |
| 0.6b | 1 | (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v)))) |
| 0.6b | 1 | (*.f64 v v) |
| 0.6b | 1 | (*.f64 (PI.f64) t) |
Compiled 314 to 201 computations (36% saved)
| Inputs |
|---|
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (*.f64 (sqrt.f64 2) t) (PI.f64))) |
(/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t) |
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) |
(/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) (/.f64 1 (PI.f64)))) |
(/.f64 1 (*.f64 (sqrt.f64 2) (/.f64 1 (/.f64 1 (*.f64 t (PI.f64)))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 (*.f64 (*.f64 v v) -4) -1)) |
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (/.f64 t (sqrt.f64 1/2)) (PI.f64)) (-.f64 1 (*.f64 v v)))) |
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 t (/.f64 (sqrt.f64 1/2) (PI.f64))) (-.f64 1 (*.f64 v v)))) |
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v)))) |
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 (*.f64 t (PI.f64)) (pow.f64 2 -1/2)) (-.f64 1 (*.f64 v v)))) |
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 1 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64)))) (-.f64 1 (*.f64 v v)))) |
| Outputs |
|---|
(/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t) |
3 calls:
| 8.0ms | v |
| 8.0ms | t |
| 6.0ms | (*.f64 v v) |
| Error | Segments | Branch |
|---|---|---|
| 0.6b | 1 | v |
| 0.6b | 1 | t |
| 0.6b | 1 | (*.f64 v v) |
Compiled 191 to 123 computations (35.6% saved)
Total -0.4b remaining (-36.5%)
Threshold costs -0.4b (-36.5%)
| Inputs |
|---|
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
(/.f64 1 (*.f64 (*.f64 (sqrt.f64 2) t) (PI.f64))) |
| Outputs |
|---|
(/.f64 1 (*.f64 (*.f64 (sqrt.f64 2) t) (PI.f64))) |
2 calls:
| 8.0ms | v |
| 3.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 1.1b | 1 | v |
| 1.1b | 1 | t |
Compiled 22 to 17 computations (22.7% saved)
| 1× | egg-herbie |
| 21× | *-commutative_binary64 |
| 10× | +-commutative_binary64 |
| 10× | sub-neg_binary64 |
| 7× | distribute-rgt-neg-in_binary64 |
| 7× | cancel-sign-sub-inv_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 154 |
| 1 | 88 | 154 |
| 2 | 117 | 154 |
| 3 | 129 | 154 |
| 4 | 136 | 154 |
| 5 | 137 | 154 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 1 (PI.f64)) (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 t (-.f64 1 (*.f64 v v))))) |
(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))) (*.f64 (PI.f64) (-.f64 t (*.f64 (*.f64 v v) t)))) |
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v)))) |
(/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t) |
(/.f64 1 (*.f64 (*.f64 (sqrt.f64 2) t) (PI.f64))) |
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
| Outputs |
|---|
(*.f64 (/.f64 1 (PI.f64)) (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 t (-.f64 1 (*.f64 v v))))) |
(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))) (*.f64 (PI.f64) (-.f64 t (*.f64 (*.f64 v v) t)))) |
(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 (PI.f64) (-.f64 t (*.f64 t (*.f64 v v))))) |
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v)))) |
(/.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 -3 (*.f64 v v))))) (*.f64 (PI.f64) t)))) |
(/.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 (*.f64 v v) -3)))) (*.f64 (PI.f64) t)))) |
(/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t) |
(/.f64 1 (*.f64 (*.f64 (sqrt.f64 2) t) (PI.f64))) |
(/.f64 1 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 2)))) |
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) |
(/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t)) |
Compiled 112 to 85 computations (24.1% saved)
| 1× | egg-herbie |
| 826× | times-frac_binary64 |
| 719× | distribute-neg-frac_binary64 |
| 592× | fma-def_binary64 |
| 466× | associate-/r*_binary64 |
| 411× | distribute-lft-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 43 |
| 1 | 58 | 43 |
| 2 | 190 | 38 |
| 3 | 947 | 36 |
| 4 | 5124 | 36 |
| 1× | node limit |
Compiled 979 to 681 computations (30.4% saved)
Compiled 102 to 67 computations (34.3% saved)
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