Time bar (total: 6.6s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 37.5% | 62.5% | 0 |
| 0% | 37.5% | 62.5% | 1 |
| 0% | 18.7% | 81.3% | 2 |
| 0% | 9.4% | 90.6% | 3 |
| 0% | 9.4% | 90.6% | 4 |
| 0% | 7% | 93% | 5 |
| 1.2% | 4.7% | 94.1% | 6 |
| 1.2% | 3.5% | 95.3% | 7 |
| 1.8% | 2.6% | 95.6% | 8 |
| 2% | 1.9% | 96% | 9 |
| 2.4% | 1.3% | 96.3% | 10 |
| 2.6% | 1% | 96.5% | 11 |
| 2.7% | 0.7% | 96.6% | 12 |
Compiled 26 to 15 computations (42.3% saved)
| 1.8s | 8256× | body | 256 | valid |
| 130.0ms | 794× | body | 256 | invalid |
| 2× | egg-herbie |
| 746× | fma-neg_binary64 |
| 356× | fabs-div_binary64 |
| 352× | distribute-neg-frac_binary64 |
| 303× | associate-/l*_binary64 |
| 301× | fabs-mul_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 40 |
| 1 | 47 | 34 |
| 2 | 137 | 30 |
| 3 | 394 | 30 |
| 4 | 1278 | 30 |
| 5 | 5462 | 30 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 b b)))) |
| Outputs |
|---|
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 b b)))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 a b) (/.f64 a b))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 a b) (/.f64 a b) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 a (/.f64 a (*.f64 b b)) -1))) |
Compiled 17 to 10 computations (41.2% saved)
| 1× | egg-herbie |
| 704× | fma-def_binary64 |
| 605× | associate-/r*_binary64 |
| 561× | associate-*l*_binary64 |
| 491× | associate-*r*_binary64 |
| 345× | fabs-div_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 26 | 17 |
| 2 | 72 | 15 |
| 3 | 201 | 15 |
| 4 | 553 | 15 |
| 5 | 1982 | 15 |
| 6 | 7717 | 15 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
| Outputs |
|---|
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
Compiled 25 to 13 computations (48% 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 |
|---|---|---|
| ▶ | 14.8b | (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
| ▶ | 14.8b | (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
Compiled 27 to 16 computations (40.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 a a) (*.f64 b b)) |
| ✓ | 0.0b | (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
| ✓ | 14.3b | (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) |
Compiled 53 to 8 computations (84.9% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | a | @ | 0 | (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) |
| 1.0ms | b | @ | inf | (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) |
| 1.0ms | a | @ | inf | (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) |
| 1.0ms | b | @ | 0 | (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) |
| 1.0ms | a | @ | 0 | (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
| 1× | batch-egg-rewrite |
| 881× | prod-diff_binary64 |
| 506× | log-prod_binary64 |
| 413× | fma-def_binary64 |
| 251× | pow2_binary64 |
| 215× | egg-rr |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 46 |
| 1 | 214 | 38 |
| 2 | 3342 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (fabs.f64 (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 2) (*.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) (*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) (*.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 a b) (neg.f64 (-.f64 a b))) (/.f64 1 (*.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -2) (-.f64 (*.f64 a a) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a b) (*.f64 (-.f64 a b) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b))) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) 3) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2))) (fabs.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 a 4))) (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) 1) (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a b) 1) (/.f64 (-.f64 a b) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 2) a) (/.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a b) a) (/.f64 (-.f64 a b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 2) (cbrt.f64 (pow.f64 a 4))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) (cbrt.f64 (pow.f64 a 4))) (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a b) (cbrt.f64 (pow.f64 a 4))) (/.f64 (-.f64 a b) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 3) (pow.f64 a 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fabs.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 (pow.f64 (/.f64 b a) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 3) (pow.f64 a 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b 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| 1× | egg-herbie |
| 808× | fma-neg_binary64 |
| 729× | associate-/r*_binary64 |
| 689× | associate-/l/_binary64 |
| 473× | associate-/r/_binary64 |
| 420× | associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 999 |
| 1 | 40 | 891 |
| 2 | 97 | 843 |
| 3 | 297 | 843 |
| 4 | 1363 | 843 |
| 5 | 7354 | 843 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(*.f64 -1 (pow.f64 b 2)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(pow.f64 a 2) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(pow.f64 a 2) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(pow.f64 a 2) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(*.f64 -1 (pow.f64 b 2)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(*.f64 -1 (pow.f64 b 2)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) |
(neg.f64 (*.f64 (/.f64 b a) (/.f64 b a))) |
(*.f64 (/.f64 (neg.f64 b) (*.f64 a a)) b) |
(/.f64 b (/.f64 a (/.f64 (neg.f64 b) a))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) 1) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) 1) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) 1) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) 1) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) 1) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) 1) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) 1) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) 1) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) 1) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) 1) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) 1) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) 1) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) |
(neg.f64 (*.f64 (/.f64 b a) (/.f64 b a))) |
(*.f64 (/.f64 (neg.f64 b) (*.f64 a a)) b) |
(/.f64 b (/.f64 a (/.f64 (neg.f64 b) a))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) 1) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) 1) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) 1) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) |
(neg.f64 (*.f64 (/.f64 b a) (/.f64 b a))) |
(*.f64 (/.f64 (neg.f64 b) (*.f64 a a)) b) |
(/.f64 b (/.f64 a (/.f64 (neg.f64 b) a))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) 1) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) 1) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) 1) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(*.f64 -1 (pow.f64 b 2)) |
(neg.f64 (*.f64 b b)) |
(*.f64 b (neg.f64 b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(fma.f64 a a (neg.f64 (*.f64 b b))) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(fma.f64 a a (neg.f64 (*.f64 b b))) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(fma.f64 a a (neg.f64 (*.f64 b b))) |
(pow.f64 a 2) |
(*.f64 a a) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(fma.f64 a a (neg.f64 (*.f64 b b))) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(fma.f64 a a (neg.f64 (*.f64 b b))) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(fma.f64 a a (neg.f64 (*.f64 b b))) |
(pow.f64 a 2) |
(*.f64 a a) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(fma.f64 a a (neg.f64 (*.f64 b b))) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(fma.f64 a a (neg.f64 (*.f64 b b))) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(fma.f64 a a (neg.f64 (*.f64 b b))) |
(pow.f64 a 2) |
(*.f64 a a) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(fma.f64 a a (neg.f64 (*.f64 b b))) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(fma.f64 a a (neg.f64 (*.f64 b b))) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(fma.f64 a a (neg.f64 (*.f64 b b))) |
(*.f64 -1 (pow.f64 b 2)) |
(neg.f64 (*.f64 b b)) |
(*.f64 b (neg.f64 b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(fma.f64 a a (neg.f64 (*.f64 b b))) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(fma.f64 a a (neg.f64 (*.f64 b b))) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(fma.f64 a a (neg.f64 (*.f64 b b))) |
(*.f64 -1 (pow.f64 b 2)) |
(neg.f64 (*.f64 b b)) |
(*.f64 b (neg.f64 b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(fma.f64 a a (neg.f64 (*.f64 b b))) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(fma.f64 a a (neg.f64 (*.f64 b b))) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(fma.f64 a a (neg.f64 (*.f64 b b))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
| ✓ | 15.0b | (/.f64 b (*.f64 a a)) |
Compiled 40 to 14 computations (65% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | inf | (/.f64 b (*.f64 a a)) |
| 1.0ms | b | @ | 0 | (/.f64 b (*.f64 a a)) |
| 1.0ms | b | @ | -inf | (/.f64 b (*.f64 a a)) |
| 1.0ms | a | @ | 0 | (/.f64 b (*.f64 a a)) |
| 1.0ms | b | @ | -inf | (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
| 1× | batch-egg-rewrite |
| 832× | pow1_binary64 |
| 772× | add-log-exp_binary64 |
| 772× | log1p-expm1-u_binary64 |
| 772× | expm1-log1p-u_binary64 |
| 752× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 22 |
| 1 | 183 | 20 |
| 2 | 2348 | 20 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 b (*.f64 a a)) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 b (pow.f64 a -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (pow.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b (pow.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 b (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 b (pow.f64 a -2))) (cbrt.f64 (/.f64 (*.f64 b b) (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 b b) (pow.f64 a 4))) (cbrt.f64 (*.f64 b (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) a) (/.f64 (sqrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (*.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -2) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) a) (/.f64 (cbrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 a 4))) (/.f64 b (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 (pow.f64 a 4))) (cbrt.f64 (*.f64 b (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (cbrt.f64 (pow.f64 a 4))) (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (pow.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 b (pow.f64 a -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 b (pow.f64 a -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 b) a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (/.f64 b a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (*.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 b b) (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 b (pow.f64 a -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 (*.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 b (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 b (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 b (pow.f64 a -2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)) (cbrt.f64 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1))) (cbrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1) 1/4) (pow.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)))))))) |
| 1× | egg-herbie |
| 966× | fma-def_binary64 |
| 691× | associate-/r/_binary64 |
| 434× | unswap-sqr_binary64 |
| 262× | cancel-sign-sub-inv_binary64 |
| 231× | associate-/r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 528 |
| 1 | 17 | 528 |
| 2 | 30 | 528 |
| 3 | 55 | 528 |
| 4 | 136 | 528 |
| 5 | 453 | 528 |
| 6 | 1907 | 528 |
| 7 | 3262 | 528 |
| 8 | 3991 | 528 |
| 9 | 4603 | 528 |
| 10 | 5599 | 528 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
| Outputs |
|---|
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
Compiled 8086 to 3369 computations (58.3% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 368 | 5 | 373 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 369 | 6 | 375 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2) |
| ✓ | 14.8b | (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
| ▶ | 0b | (exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1/2)) |
| ▶ | 2.0b | (sqrt.f64 (fabs.f64 1)) |
| ▶ | 0.0b | (/.f64 1 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) |
| ▶ | 0.2b | (sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b))) (/.f64 1 a)))) |
Compiled 133 to 102 computations (23.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1/2) |
| ✓ | 0.0b | (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) |
| ✓ | 0.4b | (pow.f64 (/.f64 b a) 2) |
Compiled 46 to 27 computations (41.3% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | a | @ | inf | (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1/2) |
| 2.0ms | a | @ | -inf | (pow.f64 (/.f64 b a) 2) |
| 2.0ms | b | @ | 0 | (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) |
| 2.0ms | b | @ | 0 | (pow.f64 (/.f64 b a) 2) |
| 2.0ms | b | @ | inf | (pow.f64 (/.f64 b a) 2) |
| 1× | batch-egg-rewrite |
| 866× | pow1_binary64 |
| 801× | add-log-exp_binary64 |
| 800× | expm1-log1p-u_binary64 |
| 799× | log1p-expm1-u_binary64 |
| 784× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 32 |
| 1 | 210 | 28 |
| 2 | 2465 | 28 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (/.f64 b a) 2) |
(log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) |
(*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1/2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (*.f64 (/.f64 1 a) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) (neg.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 b a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 b a) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b b) (*.f64 (/.f64 1 a) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b b) (pow.f64 (/.f64 1 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 4)) (pow.f64 (cbrt.f64 (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 4)) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (cbrt.f64 (pow.f64 (/.f64 b a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (*.f64 (cbrt.f64 (/.f64 b a)) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 b a)) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b a) (sqrt.f64 (/.f64 b a))) (sqrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 b a)) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 4))) (pow.f64 (cbrt.f64 (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b a) b) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b a) (pow.f64 (cbrt.f64 (/.f64 b a)) 2)) (cbrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (/.f64 b a)) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (/.f64 b a) 4))) (pow.f64 (cbrt.f64 (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (*.f64 (/.f64 a b) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (*.f64 a (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b a) (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 a b) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b b) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b) (*.f64 (/.f64 a b) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (*.f64 (neg.f64 a) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 a) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b) 1) (*.f64 (neg.f64 a) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b (neg.f64 b)) (*.f64 a (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (pow.f64 (/.f64 b a) 2) 3)) (+.f64 0 (+.f64 (pow.f64 (/.f64 b a) 4) (*.f64 0 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (/.f64 b a) 4)) (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b (/.f64 b a)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b) (/.f64 b a)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 b a) b) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 b a) (neg.f64 b)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 b a) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (/.f64 b a)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (pow.f64 (/.f64 b a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2))) 2) (cbrt.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2))) (sqrt.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)) 1/2))))))) |
| 1× | egg-herbie |
| 550× | fma-def_binary64 |
| 539× | associate-/r/_binary64 |
| 467× | associate-+l-_binary64 |
| 441× | associate-+l+_binary64 |
| 376× | associate-/l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 1983 |
| 1 | 331 | 1933 |
| 2 | 1017 | 1881 |
| 3 | 4057 | 1861 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/3 (/.f64 (pow.f64 b 6) (pow.f64 a 6))))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 b 8) (pow.f64 a 8))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/3 (/.f64 (pow.f64 b 6) (pow.f64 a 6)))))) |
(+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 1 b)))) |
(+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))) |
(+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1/2 (/.f64 (pow.f64 a 4) (pow.f64 b 4)))))) |
(+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 a 6) (pow.f64 b 6))) (*.f64 -1/2 (/.f64 (pow.f64 a 4) (pow.f64 b 4))))))) |
(+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 -1 b)))) |
(+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -2 (log.f64 (/.f64 -1 b))))) |
(+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 b))) (*.f64 -1/2 (/.f64 (pow.f64 a 4) (pow.f64 b 4)))))) |
(+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 a 6) (pow.f64 b 6))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 b))) (*.f64 -1/2 (/.f64 (pow.f64 a 4) (pow.f64 b 4))))))) |
(+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (*.f64 -2 (log.f64 a))) |
(+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (+.f64 (*.f64 -2 (log.f64 a)) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))) |
(+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (+.f64 (*.f64 -2 (log.f64 a)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1/2 (/.f64 (pow.f64 a 4) (pow.f64 b 4)))))) |
(+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (+.f64 (*.f64 -2 (log.f64 a)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 a 6) (pow.f64 b 6))) (*.f64 -1/2 (/.f64 (pow.f64 a 4) (pow.f64 b 4))))))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/3 (/.f64 (pow.f64 b 6) (pow.f64 a 6))))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 b 8) (pow.f64 a 8))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/3 (/.f64 (pow.f64 b 6) (pow.f64 a 6)))))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/3 (/.f64 (pow.f64 b 6) (pow.f64 a 6))))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 b 8) (pow.f64 a 8))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/3 (/.f64 (pow.f64 b 6) (pow.f64 a 6)))))) |
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 8) (pow.f64 a 8))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
(*.f64 1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 1 b))))) |
(+.f64 (*.f64 1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 1 b))))) (*.f64 -1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) |
(+.f64 (*.f64 1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 1 b))))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1/4 (/.f64 (pow.f64 a 4) (pow.f64 b 4))))) |
(+.f64 (*.f64 1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 1 b))))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1/6 (/.f64 (pow.f64 a 6) (pow.f64 b 6)))))) |
(*.f64 1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 -1 b))))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 -1 b)))))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 -1 b))))))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (*.f64 1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 -1 b))))) (*.f64 -1/6 (/.f64 (pow.f64 a 6) (pow.f64 b 6)))))) |
(*.f64 1/2 (+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (*.f64 -2 (log.f64 a)))) |
(+.f64 (*.f64 1/2 (+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (*.f64 -2 (log.f64 a)))) (*.f64 -1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) |
(+.f64 (*.f64 1/2 (+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (*.f64 -2 (log.f64 a)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1/4 (/.f64 (pow.f64 a 4) (pow.f64 b 4))))) |
(+.f64 (*.f64 1/2 (+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (*.f64 -2 (log.f64 a)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1/6 (/.f64 (pow.f64 a 6) (pow.f64 b 6)))))) |
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 8) (pow.f64 a 8))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 8) (pow.f64 a 8))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
| Outputs |
|---|
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) |
(/.f64 (*.f64 b (neg.f64 b)) (*.f64 a a)) |
(/.f64 (neg.f64 b) (/.f64 (*.f64 a a) b)) |
(*.f64 (/.f64 b a) (/.f64 (neg.f64 b) a)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))) |
(fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (*.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))) |
(-.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 (/.f64 b a) (/.f64 b a))) |
(fma.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (neg.f64 b) (/.f64 (*.f64 a a) b))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/3 (/.f64 (pow.f64 b 6) (pow.f64 a 6))))) |
(fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 -1/3 (/.f64 (pow.f64 b 6) (pow.f64 a 6))))) |
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 -1/3 (/.f64 (pow.f64 b 6) (pow.f64 a 6)))) (*.f64 (/.f64 b a) (/.f64 b a))) |
(fma.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (-.f64 (*.f64 -1/3 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (*.f64 (/.f64 b a) (/.f64 b a)))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 b 8) (pow.f64 a 8))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/3 (/.f64 (pow.f64 b 6) (pow.f64 a 6)))))) |
(fma.f64 -1/4 (/.f64 (pow.f64 b 8) (pow.f64 a 8)) (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 -1/3 (/.f64 (pow.f64 b 6) (pow.f64 a 6)))))) |
(fma.f64 -1/4 (/.f64 (pow.f64 b 8) (pow.f64 a 8)) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 -1/3 (/.f64 (pow.f64 b 6) (pow.f64 a 6)))) (*.f64 (/.f64 b a) (/.f64 b a)))) |
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 b 8) (pow.f64 a 8)) (fma.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 -1/3 (/.f64 (pow.f64 b 6) (pow.f64 a 6))))) (*.f64 (/.f64 b a) (/.f64 b a))) |
(+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 1 b)))) |
(+.f64 (log.f64 (/.f64 -1 (*.f64 a a))) (*.f64 -2 (neg.f64 (log.f64 b)))) |
(fma.f64 -2 (neg.f64 (log.f64 b)) (log.f64 (/.f64 -1 (*.f64 a a)))) |
(-.f64 (log.f64 (*.f64 b (neg.f64 b))) (log.f64 (*.f64 a a))) |
(fma.f64 -2 (log.f64 a) (log.f64 (*.f64 b (neg.f64 b)))) |
(+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))) |
(+.f64 (log.f64 (/.f64 -1 (*.f64 a a))) (fma.f64 -2 (neg.f64 (log.f64 b)) (neg.f64 (/.f64 (*.f64 a a) (*.f64 b b))))) |
(-.f64 (fma.f64 -2 (neg.f64 (log.f64 b)) (log.f64 (/.f64 -1 (*.f64 a a)))) (*.f64 (/.f64 a b) (/.f64 a b))) |
(-.f64 (-.f64 (log.f64 (*.f64 b (neg.f64 b))) (log.f64 (*.f64 a a))) (*.f64 (/.f64 a b) (/.f64 a b))) |
(-.f64 (fma.f64 -2 (log.f64 a) (log.f64 (*.f64 b (neg.f64 b)))) (/.f64 (*.f64 a a) (*.f64 b b))) |
(+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1/2 (/.f64 (pow.f64 a 4) (pow.f64 b 4)))))) |
(+.f64 (log.f64 (/.f64 -1 (*.f64 a a))) (fma.f64 -2 (neg.f64 (log.f64 b)) (fma.f64 -1 (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 -1/2 (/.f64 (pow.f64 a 4) (pow.f64 b 4)))))) |
(+.f64 (log.f64 (/.f64 -1 (*.f64 a a))) (fma.f64 -2 (neg.f64 (log.f64 b)) (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 (/.f64 a b) (/.f64 a b))))) |
(+.f64 (log.f64 (/.f64 -1 (*.f64 a a))) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (*.f64 2 (log.f64 b))) (*.f64 (/.f64 a b) (/.f64 a b)))) |
(fma.f64 -2 (log.f64 a) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (log.f64 (*.f64 b (neg.f64 b)))) (/.f64 (*.f64 a a) (*.f64 b b)))) |
(+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 a 6) (pow.f64 b 6))) (*.f64 -1/2 (/.f64 (pow.f64 a 4) (pow.f64 b 4))))))) |
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(fma.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) -1/6 (fma.f64 (/.f64 (pow.f64 b 8) (pow.f64 a 8)) -1/8 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) -1/4)))) |
(fma.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) -1/6 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) -1/4 (*.f64 (/.f64 (pow.f64 b 8) (pow.f64 a 8)) -1/8)))) |
(fma.f64 (/.f64 (pow.f64 b 8) (pow.f64 a 8)) -1/8 (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) -1/4 (fma.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) -1/6 (/.f64 -1/2 (/.f64 (*.f64 a a) (*.f64 b b)))))) |
Compiled 8 to 8 computations (0% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2) |
| 0.4b | (pow.f64 (/.f64 b a) 2) |
Compiled 31 to 18 computations (41.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | b | @ | inf | (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2) |
| 1.0ms | b | @ | 0 | (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2) |
| 1.0ms | b | @ | -inf | (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2) |
| 1.0ms | a | @ | 0 | (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2) |
| 0.0ms | a | @ | inf | (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2) |
| 1× | batch-egg-rewrite |
| 974× | pow1_binary64 |
| 908× | add-log-exp_binary64 |
| 907× | log1p-expm1-u_binary64 |
| 907× | expm1-log1p-u_binary64 |
| 102× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 12 |
| 1 | 218 | 12 |
| 2 | 2523 | 12 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2)) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 6))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (/.f64 b a) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))))))))) |
| 1× | egg-herbie |
| 829× | times-frac_binary64 |
| 600× | cancel-sign-sub-inv_binary64 |
| 501× | fma-neg_binary64 |
| 411× | distribute-neg-frac_binary64 |
| 324× | associate-/l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 688 |
| 1 | 192 | 675 |
| 2 | 641 | 641 |
| 3 | 4262 | 623 |
| 4 | 5850 | 596 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
(/.f64 (*.f64 (sqrt.f64 -1) b) a) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a)) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)))))) |
(/.f64 (*.f64 (sqrt.f64 -1) b) a) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a)) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))) |
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a))) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) |
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 1 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1)) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a))))) |
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))))) |
(fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1))) |
(fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1))) |
(/.f64 (*.f64 (sqrt.f64 -1) b) a) |
(/.f64 (sqrt.f64 -1) (/.f64 a b)) |
(*.f64 (/.f64 (sqrt.f64 -1) a) b) |
(*.f64 b (/.f64 (sqrt.f64 -1) a)) |
(*.f64 (/.f64 b a) (sqrt.f64 -1)) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a)) |
(fma.f64 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (/.f64 (sqrt.f64 -1) (/.f64 a b))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 b (/.f64 (sqrt.f64 -1) a))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 b a) (sqrt.f64 -1))) |
(fma.f64 b (/.f64 (sqrt.f64 -1) a) (/.f64 (*.f64 1/2 (/.f64 a b)) (sqrt.f64 -1))) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))) |
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (/.f64 (*.f64 -1/8 (pow.f64 a 3)) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (*.f64 (/.f64 (sqrt.f64 -1) a) b))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 b (/.f64 (sqrt.f64 -1) a)))) |
(fma.f64 (/.f64 (sqrt.f64 -1) a) b (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (/.f64 (*.f64 1/2 (/.f64 a b)) (sqrt.f64 -1)))) |
(fma.f64 b (/.f64 (sqrt.f64 -1) a) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (/.f64 (*.f64 1/2 (/.f64 a b)) (sqrt.f64 -1)))) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))) |
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (/.f64 (*.f64 -1/8 (pow.f64 a 3)) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))) |
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) (fma.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 b (/.f64 (sqrt.f64 -1) a))))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 5) (pow.f64 b 5)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (*.f64 (/.f64 b a) (sqrt.f64 -1))))) |
(fma.f64 b (/.f64 (sqrt.f64 -1) a) (fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/16 (pow.f64 b 5)) (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -1) 5)) (*.f64 (pow.f64 (/.f64 a b) 3) (/.f64 1/8 (sqrt.f64 -1)))))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) |
(neg.f64 (/.f64 (sqrt.f64 -1) (/.f64 a b))) |
(/.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 a b)) |
(*.f64 (/.f64 (sqrt.f64 -1) a) (neg.f64 b)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)))) |
(fma.f64 -1 (/.f64 (sqrt.f64 -1) (/.f64 a b)) (*.f64 -1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b))) |
(-.f64 (*.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1))) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) |
(-.f64 (*.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1))) (*.f64 b (/.f64 (sqrt.f64 -1) a))) |
(-.f64 (*.f64 (/.f64 a b) (/.f64 -1/2 (sqrt.f64 -1))) (*.f64 (/.f64 b a) (sqrt.f64 -1))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))))) |
(fma.f64 -1 (/.f64 (sqrt.f64 -1) (/.f64 a b)) (fma.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b)))) |
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 1/8 (pow.f64 b 3)) (/.f64 (pow.f64 a 3) (*.f64 -1 (sqrt.f64 -1))))) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) |
(-.f64 (fma.f64 (/.f64 -1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)))) (*.f64 b (/.f64 (sqrt.f64 -1) a))) |
(-.f64 (*.f64 (/.f64 a b) (/.f64 -1/2 (sqrt.f64 -1))) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (*.f64 (/.f64 b a) (sqrt.f64 -1)))) |
(-.f64 (*.f64 (/.f64 a b) (/.f64 -1/2 (sqrt.f64 -1))) (fma.f64 b (/.f64 (sqrt.f64 -1) a) (*.f64 (pow.f64 (/.f64 a b) 3) (/.f64 1/8 (sqrt.f64 -1))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)))))) |
(fma.f64 -1 (/.f64 (sqrt.f64 -1) (/.f64 a b)) (fma.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))) (fma.f64 -1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (*.f64 -1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b))))) |
(-.f64 (fma.f64 (/.f64 (pow.f64 a 3) (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) 1/8 (fma.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 -1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))))) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) |
(-.f64 (fma.f64 -1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (fma.f64 (/.f64 -1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1))))) (*.f64 b (/.f64 (sqrt.f64 -1) a))) |
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 -1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3))) (fma.f64 (/.f64 1/16 (pow.f64 b 5)) (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -1) 5)) (*.f64 (/.f64 b a) (sqrt.f64 -1)))) |
(-.f64 (*.f64 (/.f64 a b) (/.f64 -1/2 (sqrt.f64 -1))) (fma.f64 (/.f64 1/16 (pow.f64 b 5)) (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -1) 5)) (fma.f64 b (/.f64 (sqrt.f64 -1) a) (*.f64 (pow.f64 (/.f64 a b) 3) (/.f64 1/8 (sqrt.f64 -1)))))) |
(/.f64 (*.f64 (sqrt.f64 -1) b) a) |
(/.f64 (sqrt.f64 -1) (/.f64 a b)) |
(*.f64 (/.f64 (sqrt.f64 -1) a) b) |
(*.f64 b (/.f64 (sqrt.f64 -1) a)) |
(*.f64 (/.f64 b a) (sqrt.f64 -1)) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a)) |
(fma.f64 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (/.f64 (sqrt.f64 -1) (/.f64 a b))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 b (/.f64 (sqrt.f64 -1) a))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 b a) (sqrt.f64 -1))) |
(fma.f64 b (/.f64 (sqrt.f64 -1) a) (/.f64 (*.f64 1/2 (/.f64 a b)) (sqrt.f64 -1))) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))) |
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (/.f64 (*.f64 -1/8 (pow.f64 a 3)) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (*.f64 (/.f64 (sqrt.f64 -1) a) b))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 b (/.f64 (sqrt.f64 -1) a)))) |
(fma.f64 (/.f64 (sqrt.f64 -1) a) b (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (/.f64 (*.f64 1/2 (/.f64 a b)) (sqrt.f64 -1)))) |
(fma.f64 b (/.f64 (sqrt.f64 -1) a) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (/.f64 (*.f64 1/2 (/.f64 a b)) (sqrt.f64 -1)))) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))) |
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (/.f64 (*.f64 -1/8 (pow.f64 a 3)) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))) |
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) (fma.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 b (/.f64 (sqrt.f64 -1) a))))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 5) (pow.f64 b 5)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (*.f64 (/.f64 b a) (sqrt.f64 -1))))) |
(fma.f64 b (/.f64 (sqrt.f64 -1) a) (fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/16 (pow.f64 b 5)) (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -1) 5)) (*.f64 (pow.f64 (/.f64 a b) 3) (/.f64 1/8 (sqrt.f64 -1)))))) |
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a))) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) |
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 1 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1)) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a))))) |
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))))) |
(fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1))) |
(fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1))) |
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a))) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) |
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 1 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1)) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a))))) |
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))))) |
(fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1))) |
(fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) |
| ✓ | 0.0b | (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))) |
| ✓ | 0.0b | (/.f64 1 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) |
| 0.4b | (pow.f64 (/.f64 b a) 2) |
Compiled 52 to 33 computations (36.5% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | inf | (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) |
| 1.0ms | a | @ | 0 | (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) |
| 1.0ms | b | @ | 0 | (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) |
| 1.0ms | a | @ | inf | (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) |
| 1.0ms | b | @ | -inf | (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) |
| 1× | batch-egg-rewrite |
| 498× | log-prod_binary64 |
| 280× | pow-prod-down_binary64 |
| 277× | pow2_binary64 |
| 199× | prod-diff_binary64 |
| 195× | pow-to-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 46 |
| 1 | 243 | 38 |
| 2 | 3076 | 38 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) |
(/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))) |
(sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/6) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 -1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -2) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -3) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -3/2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/6) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 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(neg.f64 (pow.f64 (/.f64 b a) 2)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1) -1/2)))))) |
| 1× | egg-herbie |
| 831× | associate-/r*_binary64 |
| 750× | associate-*r*_binary64 |
| 743× | fma-def_binary64 |
| 703× | associate-*l*_binary64 |
| 648× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 177 | 2434 |
| 1 | 556 | 2328 |
| 2 | 2055 | 2176 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
(/.f64 (*.f64 (sqrt.f64 -1) b) a) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a)) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)))))) |
(/.f64 (*.f64 (sqrt.f64 -1) b) a) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a)) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))) |
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
1 |
(+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (pow.f64 b 6) (pow.f64 a 6))))) |
(*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (/.f64 (pow.f64 a 6) (pow.f64 b 6))))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 8) (pow.f64 b 8))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (/.f64 (pow.f64 a 6) (pow.f64 b 6)))))) |
(*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (/.f64 (pow.f64 a 6) (pow.f64 b 6))))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 8) (pow.f64 b 8))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (/.f64 (pow.f64 a 6) (pow.f64 b 6)))))) |
(*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (/.f64 (pow.f64 a 6) (pow.f64 b 6))))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 8) (pow.f64 b 8))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (/.f64 (pow.f64 a 6) (pow.f64 b 6)))))) |
1 |
(+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (pow.f64 b 6) (pow.f64 a 6))))) |
1 |
(+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (pow.f64 b 6) (pow.f64 a 6))))) |
1 |
(+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 a 4)) (pow.f64 (/.f64 1/2 (pow.f64 a 2)) 2)) (pow.f64 b 4))))) |
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 a 6)) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 a 4)) (pow.f64 (/.f64 1/2 (pow.f64 a 2)) 2)) (pow.f64 a 2)))) (pow.f64 b 6))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 a 4)) (pow.f64 (/.f64 1/2 (pow.f64 a 2)) 2)) (pow.f64 b 4)))))) |
(/.f64 (*.f64 (sqrt.f64 -1) a) b) |
(+.f64 (/.f64 (*.f64 (sqrt.f64 -1) a) b) (*.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3))))) |
(+.f64 (/.f64 (*.f64 (sqrt.f64 -1) a) b) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) (*.f64 a (pow.f64 b 5))))))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2))) (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 a 8)) (*.f64 (sqrt.f64 -1) (*.f64 a (pow.f64 b 7))))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) a) b) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) (*.f64 a (pow.f64 b 5)))))))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) a) b)) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) a) b))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) (*.f64 a (pow.f64 b 5))))) (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) a) b)))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2))) (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 a 8)) (*.f64 (sqrt.f64 -1) (*.f64 a (pow.f64 b 7))))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) (*.f64 a (pow.f64 b 5))))) (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) a) b))))) |
(/.f64 (*.f64 (sqrt.f64 -1) a) b) |
(+.f64 (/.f64 (*.f64 (sqrt.f64 -1) a) b) (*.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) 2) (/.f64 1 (pow.f64 b 6))) (*.f64 (pow.f64 a 5) b)) (sqrt.f64 -1))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) a) b) (*.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) 2) (/.f64 1 (pow.f64 b 6))) (*.f64 (pow.f64 a 5) b)) (sqrt.f64 -1))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 b 8)) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) 2) (/.f64 1 (pow.f64 b 6))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 b 2))))) (*.f64 (pow.f64 a 7) b)) (sqrt.f64 -1))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) a) b) (*.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3))))))) |
1 |
(+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)))) (*.f64 -1 (pow.f64 b 6))) (pow.f64 a 6))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
1 |
(+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)))) (*.f64 -1 (pow.f64 b 6))) (pow.f64 a 6))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1/2 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) |
(fma.f64 (/.f64 -1/2 a) (/.f64 (*.f64 b b) a) 1) |
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 1 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 -1/2 (/.f64 (*.f64 b b) (*.f64 a a))))) |
(+.f64 1 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 (/.f64 -1/2 a) (/.f64 (*.f64 b b) a)))) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 -1/2 (/.f64 (*.f64 b b) (*.f64 a a)))))) |
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 (/.f64 -1/2 a) (/.f64 (*.f64 b b) a))))) |
(fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1))) |
(/.f64 (*.f64 (sqrt.f64 -1) b) a) |
(/.f64 (sqrt.f64 -1) (/.f64 a b)) |
(*.f64 (/.f64 (sqrt.f64 -1) a) b) |
(*.f64 (/.f64 b a) (sqrt.f64 -1)) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a)) |
(fma.f64 1/2 (/.f64 a (*.f64 b (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) (/.f64 a b))) |
(fma.f64 1/2 (/.f64 a (*.f64 b (sqrt.f64 -1))) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 b a) (sqrt.f64 -1))) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))) |
(+.f64 (fma.f64 1/2 (/.f64 a (*.f64 b (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))) |
(fma.f64 1/2 (/.f64 a (*.f64 b (sqrt.f64 -1))) (fma.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (*.f64 (/.f64 (sqrt.f64 -1) a) b))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 (/.f64 b a) (sqrt.f64 -1)))) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))) |
(+.f64 (fma.f64 1/2 (/.f64 a (*.f64 b (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))) |
(+.f64 (fma.f64 1/2 (/.f64 a (*.f64 b (sqrt.f64 -1))) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (*.f64 (/.f64 -1/8 (*.f64 -1 (sqrt.f64 -1))) (/.f64 (pow.f64 a 3) (pow.f64 b 3))))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 5) (pow.f64 b 5)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 (/.f64 b a) (sqrt.f64 -1))))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) |
(neg.f64 (/.f64 (sqrt.f64 -1) (/.f64 a b))) |
(/.f64 (neg.f64 (*.f64 b (sqrt.f64 -1))) a) |
(*.f64 (/.f64 (sqrt.f64 -1) a) (neg.f64 b)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)))) |
(fma.f64 -1 (/.f64 (sqrt.f64 -1) (/.f64 a b)) (/.f64 (*.f64 -1/2 a) (*.f64 b (sqrt.f64 -1)))) |
(-.f64 (*.f64 (/.f64 -1/2 (sqrt.f64 -1)) (/.f64 a b)) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) |
(-.f64 (*.f64 (/.f64 -1/2 (sqrt.f64 -1)) (/.f64 a b)) (*.f64 (/.f64 b a) (sqrt.f64 -1))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))))) |
(fma.f64 -1 (/.f64 (sqrt.f64 -1) (/.f64 a b)) (fma.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))) (/.f64 (*.f64 -1/2 a) (*.f64 b (sqrt.f64 -1))))) |
(-.f64 (fma.f64 -1/2 (/.f64 a (*.f64 b (sqrt.f64 -1))) (*.f64 (/.f64 1/8 (pow.f64 b 3)) (/.f64 (pow.f64 a 3) (*.f64 -1 (sqrt.f64 -1))))) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) |
(-.f64 (fma.f64 (/.f64 -1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 (/.f64 -1/2 (sqrt.f64 -1)) (/.f64 a b))) (*.f64 (/.f64 b a) (sqrt.f64 -1))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)))))) |
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1 |
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(fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1))) |
1 |
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(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1)) |
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(fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1))) |
1 |
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(fma.f64 (/.f64 b a) (/.f64 b a) 1) |
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(*.f64 (/.f64 a b) (neg.f64 (/.f64 a b))) |
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(neg.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 (pow.f64 a 4) (pow.f64 b 4)))) |
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(neg.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 (pow.f64 a 4) (pow.f64 b 4)))) |
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(neg.f64 (/.f64 (*.f64 a a) (*.f64 b b))) |
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(*.f64 (/.f64 a b) (neg.f64 (/.f64 a b))) |
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(neg.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 (pow.f64 a 4) (pow.f64 b 4)))) |
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(fma.f64 -1 (/.f64 (pow.f64 a 8) (pow.f64 b 8)) (fma.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (fma.f64 -1 (/.f64 (*.f64 a a) (*.f64 b b)) (neg.f64 (/.f64 (pow.f64 a 6) (pow.f64 b 6)))))) |
(-.f64 (-.f64 (-.f64 (neg.f64 (/.f64 a (/.f64 (*.f64 b b) a))) (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (/.f64 (pow.f64 a 6) (pow.f64 b 6))) (/.f64 (pow.f64 a 8) (pow.f64 b 8))) |
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1 |
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(fma.f64 (/.f64 b a) (/.f64 b a) 1) |
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(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (pow.f64 b 6) (pow.f64 a 6))))) |
(+.f64 1 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (+.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (/.f64 (pow.f64 b 4) (pow.f64 a 4))))) |
(+.f64 (fma.f64 (/.f64 b a) (/.f64 b a) (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) 1)) |
1 |
(+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
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(fma.f64 (/.f64 b a) (/.f64 b a) 1) |
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1 |
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(fma.f64 (/.f64 1/2 a) (/.f64 (*.f64 b b) a) 1) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(fma.f64 -1/2 (/.f64 (fma.f64 -1 (pow.f64 b 4) (pow.f64 (*.f64 (*.f64 b b) 1/2) 2)) (pow.f64 a 4)) (+.f64 1 (/.f64 (*.f64 (*.f64 b b) 1/2) (*.f64 a a)))) |
(fma.f64 -1/2 (/.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 b 4)) (pow.f64 a 4)) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 1)) |
(fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) -3/4) (pow.f64 a 4)) (fma.f64 (/.f64 1/2 a) (/.f64 (*.f64 b b) a) 1)) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)))) (*.f64 -1 (pow.f64 b 6))) (pow.f64 a 6))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
(fma.f64 -1/2 (/.f64 (fma.f64 -1/2 (*.f64 (*.f64 b b) (fma.f64 -1 (pow.f64 b 4) (pow.f64 (*.f64 (*.f64 b b) 1/2) 2))) (neg.f64 (pow.f64 b 6))) (pow.f64 a 6)) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (pow.f64 b 4) (pow.f64 (*.f64 (*.f64 b b) 1/2) 2)) (pow.f64 a 4)) (+.f64 1 (/.f64 (*.f64 (*.f64 b b) 1/2) (*.f64 a a))))) |
(fma.f64 -1/2 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 b 4)) (*.f64 -1/2 (*.f64 b b))) (pow.f64 b 6)) (pow.f64 a 6)) (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 b 4)) (pow.f64 a 4)) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 1))) |
(fma.f64 -1/2 (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 b 4) -3/4) (*.f64 -1/2 (*.f64 b b))) (pow.f64 b 6)) (pow.f64 a 6)) (/.f64 (*.f64 (pow.f64 b 4) -3/4) (pow.f64 a 4))) (fma.f64 (/.f64 1/2 a) (/.f64 (*.f64 b b) a) 1)) |
1 |
(+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (/.f64 (*.f64 (*.f64 b b) 1/2) (*.f64 a a))) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 1) |
(fma.f64 (/.f64 1/2 a) (/.f64 (*.f64 b b) a) 1) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(fma.f64 -1/2 (/.f64 (fma.f64 -1 (pow.f64 b 4) (pow.f64 (*.f64 (*.f64 b b) 1/2) 2)) (pow.f64 a 4)) (+.f64 1 (/.f64 (*.f64 (*.f64 b b) 1/2) (*.f64 a a)))) |
(fma.f64 -1/2 (/.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 b 4)) (pow.f64 a 4)) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 1)) |
(fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) -3/4) (pow.f64 a 4)) (fma.f64 (/.f64 1/2 a) (/.f64 (*.f64 b b) a) 1)) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)))) (*.f64 -1 (pow.f64 b 6))) (pow.f64 a 6))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
(fma.f64 -1/2 (/.f64 (fma.f64 -1/2 (*.f64 (*.f64 b b) (fma.f64 -1 (pow.f64 b 4) (pow.f64 (*.f64 (*.f64 b b) 1/2) 2))) (neg.f64 (pow.f64 b 6))) (pow.f64 a 6)) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (pow.f64 b 4) (pow.f64 (*.f64 (*.f64 b b) 1/2) 2)) (pow.f64 a 4)) (+.f64 1 (/.f64 (*.f64 (*.f64 b b) 1/2) (*.f64 a a))))) |
(fma.f64 -1/2 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 b 4)) (*.f64 -1/2 (*.f64 b b))) (pow.f64 b 6)) (pow.f64 a 6)) (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 b 4)) (pow.f64 a 4)) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 1))) |
(fma.f64 -1/2 (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 b 4) -3/4) (*.f64 -1/2 (*.f64 b b))) (pow.f64 b 6)) (pow.f64 a 6)) (/.f64 (*.f64 (pow.f64 b 4) -3/4) (pow.f64 a 4))) (fma.f64 (/.f64 1/2 a) (/.f64 (*.f64 b b) a) 1)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 a (-.f64 a b)) |
| ✓ | 0.0b | (sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b))) (/.f64 1 a)))) |
| ✓ | 0.1b | (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b))) |
| ✓ | 0.2b | (*.f64 (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b))) (/.f64 1 a)) |
Compiled 70 to 21 computations (70% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | 0 | (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b))) |
| 1.0ms | b | @ | inf | (*.f64 (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b))) (/.f64 1 a)) |
| 1.0ms | a | @ | 0 | (*.f64 (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b))) (/.f64 1 a)) |
| 1.0ms | b | @ | 0 | (*.f64 (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b))) (/.f64 1 a)) |
| 1.0ms | a | @ | -inf | (sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b))) (/.f64 1 a)))) |
| 1× | batch-egg-rewrite |
| 726× | log-prod_binary64 |
| 588× | prod-diff_binary64 |
| 300× | log-div_binary64 |
| 275× | fma-def_binary64 |
| 223× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 56 |
| 1 | 278 | 54 |
| 2 | 4395 | 54 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b))) (/.f64 1 a)) |
(/.f64 (+.f64 a b) (/.f64 a (-.f64 a b))) |
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b))) (/.f64 1 a)))) |
(/.f64 a (-.f64 a b)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (/.f64 (+.f64 a b) a) a) (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (/.f64 (+.f64 a b) a) a) (-.f64 a b)))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 (/.f64 (+.f64 a b) a) a) (-.f64 a b)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (/.f64 (+.f64 a b) a) a) (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (/.f64 (+.f64 a b) a) a) (-.f64 a b))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (/.f64 (+.f64 a b) a) a) (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 (+.f64 a b) a) a) (-.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a b) (/.f64 (*.f64 a a) (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a b) (/.f64 (/.f64 (*.f64 a a) (-.f64 a b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a b) (/.f64 (/.f64 a (-.f64 a b)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) a) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) a) (fabs.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 a (fma.f64 a a (neg.f64 (*.f64 b b)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 a (/.f64 a (fma.f64 a a (neg.f64 (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (/.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 a (-.f64 a b)) (/.f64 (+.f64 a b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 a) (/.f64 a (fma.f64 a a (neg.f64 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) a)) 2) (/.f64 a (cbrt.f64 (/.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) a)) (/.f64 a (sqrt.f64 (/.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 a (fma.f64 a a (neg.f64 (*.f64 b b)))) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 a) (/.f64 a (fma.f64 a a (neg.f64 (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 a b)) (neg.f64 (/.f64 (*.f64 a a) (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 a b)) (*.f64 (neg.f64 a) (/.f64 a (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 a b)) (*.f64 a (/.f64 (neg.f64 a) (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) a)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (+.f64 a b)) (fabs.f64 (/.f64 (*.f64 a a) (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (/.f64 (+.f64 a b) a)) (fabs.f64 (/.f64 a (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (+.f64 a b) a)) (/.f64 (neg.f64 a) (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 a b)) 1) (*.f64 (/.f64 (neg.f64 a) (-.f64 a b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a b) -1) (*.f64 (/.f64 a (-.f64 a b)) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 a b)) -1) (*.f64 (/.f64 (neg.f64 a) (-.f64 a b)) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (neg.f64 (+.f64 a b))) (*.f64 (neg.f64 a) (/.f64 (neg.f64 a) (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) a) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) a) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) a) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 a b) a) a) (/.f64 1 (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 a b) a) 1) (/.f64 a (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 a b) a) (pow.f64 (cbrt.f64 (/.f64 a (-.f64 a b))) 2)) (cbrt.f64 (/.f64 a (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 a b) a) (sqrt.f64 (/.f64 a (-.f64 a b)))) (sqrt.f64 (/.f64 a (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 a b)) (/.f64 1 a)) (/.f64 (neg.f64 a) (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) a)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) a) -1) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 a) (neg.f64 (+.f64 a b))) (/.f64 (neg.f64 a) (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (/.f64 (+.f64 a b) a) a) (-.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 (+.f64 a b) a) a) (-.f64 a b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (+.f64 a b) a) a) (-.f64 a b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (+.f64 a b) a) a) (-.f64 a b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 (+.f64 a b) a) a) (-.f64 a b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (+.f64 a b) a) a) (-.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 (/.f64 (+.f64 a b) a) a) (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (neg.f64 (/.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) a)) a))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (/.f64 (neg.f64 (/.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (/.f64 (+.f64 a b) a) a) (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (/.f64 (+.f64 a b) a) a) (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (+.f64 a b) a) a) (-.f64 a b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) a) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) a) 3) (/.f64 (pow.f64 a -2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 a -2) a) (pow.f64 (/.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 (+.f64 a b) a) a) (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (/.f64 (+.f64 a b) a) a) (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (/.f64 (+.f64 a b) a) a) (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (/.f64 (+.f64 a b) a) a) (-.f64 a b))) 1)))))) |
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| 1× | egg-herbie |
| 889× | div-sub_binary64 |
| 356× | times-frac_binary64 |
| 289× | fma-def_binary64 |
| 228× | unsub-neg_binary64 |
| 222× | associate-/l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 1729 |
| 1 | 241 | 1561 |
| 2 | 799 | 1426 |
| 3 | 3711 | 1210 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 (/.f64 b a) (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a)))) |
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a))))) |
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a))))) |
1 |
(+.f64 (/.f64 b a) (+.f64 1 (*.f64 -1 (/.f64 b a)))) |
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a))))) |
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a))))) |
1 |
(+.f64 (/.f64 b a) (+.f64 1 (*.f64 -1 (/.f64 b a)))) |
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a))))) |
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) a)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 b (*.f64 -1 b))) |
(+.f64 a (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 b (*.f64 -1 b)))) |
(+.f64 a (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 b (*.f64 -1 b)))) |
a |
(+.f64 a (+.f64 b (*.f64 -1 b))) |
(+.f64 a (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 b (*.f64 -1 b)))) |
(+.f64 a (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 b (*.f64 -1 b)))) |
a |
(+.f64 a (+.f64 b (*.f64 -1 b))) |
(+.f64 a (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 b (*.f64 -1 b)))) |
(+.f64 a (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 b (*.f64 -1 b)))) |
a |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) a))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) a))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) a))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) a)) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) a))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) a))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) a))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) a)) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) a))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) a))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) a))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b (*.f64 -1 a)) (+.f64 b (*.f64 -1 a))) (pow.f64 a 2))))) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b (*.f64 -1 a)) (+.f64 b (*.f64 -1 a))) (pow.f64 a 2))))) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b (*.f64 -1 a)) (+.f64 b (*.f64 -1 a))) (pow.f64 a 2))))) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b (*.f64 -1 a)) (+.f64 b (*.f64 -1 a))) (pow.f64 a 2))))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a (*.f64 -1 b)) (+.f64 a (*.f64 -1 b))) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a (*.f64 -1 b)) (+.f64 a (*.f64 -1 b))) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a (*.f64 -1 b)) (+.f64 a (*.f64 -1 b))) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a (*.f64 -1 b)) (+.f64 a (*.f64 -1 b))) (pow.f64 a 2)))) |
(*.f64 -1 (/.f64 a b)) |
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))))) |
1 |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
1 |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
1 |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(*.f64 -1 (/.f64 a b)) |
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))))) |
(*.f64 -1 (/.f64 a b)) |
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 (neg.f64 b) a)) |
(/.f64 (*.f64 (/.f64 b a) (neg.f64 b)) a) |
(+.f64 (/.f64 b a) (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a)))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 (neg.f64 b) a)) |
(/.f64 (*.f64 (/.f64 b a) (neg.f64 b)) a) |
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a))))) |
(+.f64 (+.f64 (/.f64 b a) 1) (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a))) |
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a))) |
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a))) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a))))) |
(+.f64 (+.f64 (/.f64 b a) 1) (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a))) |
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a))) |
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a))) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
1 |
(+.f64 (/.f64 b a) (+.f64 1 (*.f64 -1 (/.f64 b a)))) |
1 |
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a))))) |
(+.f64 (+.f64 (/.f64 b a) 1) (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a))) |
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a))) |
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a))) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a))))) |
(+.f64 (+.f64 (/.f64 b a) 1) (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a))) |
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a))) |
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a))) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
1 |
(+.f64 (/.f64 b a) (+.f64 1 (*.f64 -1 (/.f64 b a)))) |
1 |
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a))))) |
(+.f64 (+.f64 (/.f64 b a) 1) (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a))) |
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a))) |
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a))) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a))))) |
(+.f64 (+.f64 (/.f64 b a) 1) (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a))) |
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a))) |
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a))) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (+.f64 (/.f64 b a) 1) (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a))) |
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a))) |
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a))) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (+.f64 (/.f64 b a) 1) (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a))) |
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a))) |
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a))) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (+.f64 (/.f64 b a) 1) (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a))) |
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a))) |
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a))) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 (neg.f64 b) a)) |
(/.f64 (*.f64 (/.f64 b a) (neg.f64 b)) a) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (+.f64 (/.f64 b a) 1) (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a))) |
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a))) |
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a))) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (+.f64 (/.f64 b a) 1) (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a))) |
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a))) |
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a))) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (+.f64 (/.f64 b a) 1) (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a))) |
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a))) |
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a))) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 (neg.f64 b) a)) |
(/.f64 (*.f64 (/.f64 b a) (neg.f64 b)) a) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (+.f64 (/.f64 b a) 1) (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a))) |
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a))) |
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a))) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (+.f64 (/.f64 b a) 1) (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a))) |
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a))) |
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a))) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (+.f64 (/.f64 b a) 1) (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a))) |
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a))) |
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a))) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) a)) |
(neg.f64 (/.f64 (*.f64 b b) a)) |
(/.f64 (*.f64 (neg.f64 b) b) a) |
(/.f64 (neg.f64 b) (/.f64 a b)) |
(*.f64 (/.f64 b a) (neg.f64 b)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 b (*.f64 -1 b))) |
(neg.f64 (/.f64 (*.f64 b b) a)) |
(/.f64 (*.f64 (neg.f64 b) b) a) |
(/.f64 (neg.f64 b) (/.f64 a b)) |
(*.f64 (/.f64 b a) (neg.f64 b)) |
(+.f64 a (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 b (*.f64 -1 b)))) |
(+.f64 a (fma.f64 -1 (/.f64 (*.f64 b b) a) (*.f64 0 b))) |
(-.f64 a (/.f64 b (/.f64 a b))) |
(-.f64 a (*.f64 (/.f64 b a) b)) |
(-.f64 a (*.f64 b (/.f64 b a))) |
(+.f64 a (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 b (*.f64 -1 b)))) |
(+.f64 a (fma.f64 -1 (/.f64 (*.f64 b b) a) (*.f64 0 b))) |
(-.f64 a (/.f64 b (/.f64 a b))) |
(-.f64 a (*.f64 (/.f64 b a) b)) |
(-.f64 a (*.f64 b (/.f64 b a))) |
a |
(+.f64 a (+.f64 b (*.f64 -1 b))) |
a |
(+.f64 a (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 b (*.f64 -1 b)))) |
(+.f64 a (fma.f64 -1 (/.f64 (*.f64 b b) a) (*.f64 0 b))) |
(-.f64 a (/.f64 b (/.f64 a b))) |
(-.f64 a (*.f64 (/.f64 b a) b)) |
(-.f64 a (*.f64 b (/.f64 b a))) |
(+.f64 a (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 b (*.f64 -1 b)))) |
(+.f64 a (fma.f64 -1 (/.f64 (*.f64 b b) a) (*.f64 0 b))) |
(-.f64 a (/.f64 b (/.f64 a b))) |
(-.f64 a (*.f64 (/.f64 b a) b)) |
(-.f64 a (*.f64 b (/.f64 b a))) |
a |
(+.f64 a (+.f64 b (*.f64 -1 b))) |
a |
(+.f64 a (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 b (*.f64 -1 b)))) |
(+.f64 a (fma.f64 -1 (/.f64 (*.f64 b b) a) (*.f64 0 b))) |
(-.f64 a (/.f64 b (/.f64 a b))) |
(-.f64 a (*.f64 (/.f64 b a) b)) |
(-.f64 a (*.f64 b (/.f64 b a))) |
(+.f64 a (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 b (*.f64 -1 b)))) |
(+.f64 a (fma.f64 -1 (/.f64 (*.f64 b b) a) (*.f64 0 b))) |
(-.f64 a (/.f64 b (/.f64 a b))) |
(-.f64 a (*.f64 (/.f64 b a) b)) |
(-.f64 a (*.f64 b (/.f64 b a))) |
a |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) a))) |
(+.f64 a (fma.f64 -1 (/.f64 (*.f64 b b) a) (*.f64 0 b))) |
(-.f64 a (/.f64 b (/.f64 a b))) |
(-.f64 a (*.f64 (/.f64 b a) b)) |
(-.f64 a (*.f64 b (/.f64 b a))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) a))) |
(+.f64 a (fma.f64 -1 (/.f64 (*.f64 b b) a) (*.f64 0 b))) |
(-.f64 a (/.f64 b (/.f64 a b))) |
(-.f64 a (*.f64 (/.f64 b a) b)) |
(-.f64 a (*.f64 b (/.f64 b a))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) a))) |
(+.f64 a (fma.f64 -1 (/.f64 (*.f64 b b) a) (*.f64 0 b))) |
(-.f64 a (/.f64 b (/.f64 a b))) |
(-.f64 a (*.f64 (/.f64 b a) b)) |
(-.f64 a (*.f64 b (/.f64 b a))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) a)) |
(neg.f64 (/.f64 (*.f64 b b) a)) |
(/.f64 (*.f64 (neg.f64 b) b) a) |
(/.f64 (neg.f64 b) (/.f64 a b)) |
(*.f64 (/.f64 b a) (neg.f64 b)) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) a))) |
(+.f64 a (fma.f64 -1 (/.f64 (*.f64 b b) a) (*.f64 0 b))) |
(-.f64 a (/.f64 b (/.f64 a b))) |
(-.f64 a (*.f64 (/.f64 b a) b)) |
(-.f64 a (*.f64 b (/.f64 b a))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) a))) |
(+.f64 a (fma.f64 -1 (/.f64 (*.f64 b b) a) (*.f64 0 b))) |
(-.f64 a (/.f64 b (/.f64 a b))) |
(-.f64 a (*.f64 (/.f64 b a) b)) |
(-.f64 a (*.f64 b (/.f64 b a))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) a))) |
(+.f64 a (fma.f64 -1 (/.f64 (*.f64 b b) a) (*.f64 0 b))) |
(-.f64 a (/.f64 b (/.f64 a b))) |
(-.f64 a (*.f64 (/.f64 b a) b)) |
(-.f64 a (*.f64 b (/.f64 b a))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) a)) |
(neg.f64 (/.f64 (*.f64 b b) a)) |
(/.f64 (*.f64 (neg.f64 b) b) a) |
(/.f64 (neg.f64 b) (/.f64 a b)) |
(*.f64 (/.f64 b a) (neg.f64 b)) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) a))) |
(+.f64 a (fma.f64 -1 (/.f64 (*.f64 b b) a) (*.f64 0 b))) |
(-.f64 a (/.f64 b (/.f64 a b))) |
(-.f64 a (*.f64 (/.f64 b a) b)) |
(-.f64 a (*.f64 b (/.f64 b a))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) a))) |
(+.f64 a (fma.f64 -1 (/.f64 (*.f64 b b) a) (*.f64 0 b))) |
(-.f64 a (/.f64 b (/.f64 a b))) |
(-.f64 a (*.f64 (/.f64 b a) b)) |
(-.f64 a (*.f64 b (/.f64 b a))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) a))) |
(+.f64 a (fma.f64 -1 (/.f64 (*.f64 b b) a) (*.f64 0 b))) |
(-.f64 a (/.f64 b (/.f64 a b))) |
(-.f64 a (*.f64 (/.f64 b a) b)) |
(-.f64 a (*.f64 b (/.f64 b a))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (/.f64 (*.f64 a a) (+.f64 b a))))) |
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (/.f64 (*.f64 a a) (+.f64 b a))))) |
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (/.f64 (*.f64 a a) (+.f64 b a))))) |
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (/.f64 (*.f64 a a) (+.f64 b a))))) |
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (/.f64 (*.f64 a a) (+.f64 b a))))) |
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (/.f64 (*.f64 a a) (+.f64 b a))))) |
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (/.f64 (*.f64 a a) (+.f64 b a))))) |
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (/.f64 (*.f64 a a) (+.f64 b a))))) |
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))))) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b (*.f64 -1 a)) (+.f64 b (*.f64 -1 a))) (pow.f64 a 2))))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (/.f64 (*.f64 a a) (+.f64 b a))))) |
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))))) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b (*.f64 -1 a)) (+.f64 b (*.f64 -1 a))) (pow.f64 a 2))))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (/.f64 (*.f64 a a) (+.f64 b a))))) |
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))))) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b (*.f64 -1 a)) (+.f64 b (*.f64 -1 a))) (pow.f64 a 2))))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (/.f64 (*.f64 a a) (+.f64 b a))))) |
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))))) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b (*.f64 -1 a)) (+.f64 b (*.f64 -1 a))) (pow.f64 a 2))))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (/.f64 (*.f64 a a) (+.f64 b a))))) |
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (/.f64 (*.f64 a a) (+.f64 b a))))) |
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (/.f64 (*.f64 a a) (+.f64 b a))))) |
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (/.f64 (*.f64 a a) (+.f64 b a))))) |
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (/.f64 (*.f64 a a) (+.f64 b a))))) |
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (/.f64 (*.f64 a a) (+.f64 b a))))) |
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (/.f64 (*.f64 a a) (+.f64 b a))))) |
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (/.f64 (*.f64 a a) (+.f64 b a))))) |
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (/.f64 (*.f64 a a) (+.f64 b a))))) |
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a (*.f64 -1 b)) (+.f64 a (*.f64 -1 b))) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (/.f64 (*.f64 a a) (+.f64 b a))))) |
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a (*.f64 -1 b)) (+.f64 a (*.f64 -1 b))) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (/.f64 (*.f64 a a) (+.f64 b a))))) |
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a (*.f64 -1 b)) (+.f64 a (*.f64 -1 b))) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (/.f64 (*.f64 a a) (+.f64 b a))))) |
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a (*.f64 -1 b)) (+.f64 a (*.f64 -1 b))) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (/.f64 (*.f64 a a) (+.f64 b a))))) |
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))))) |
(*.f64 -1 (/.f64 a b)) |
(/.f64 (neg.f64 a) b) |
(/.f64 a (neg.f64 b)) |
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) |
(*.f64 -1 (+.f64 (/.f64 a b) (/.f64 (*.f64 a a) (*.f64 b b)))) |
(-.f64 (/.f64 (neg.f64 a) b) (*.f64 (/.f64 a b) (/.f64 a b))) |
(*.f64 (/.f64 a b) (-.f64 -1 (/.f64 a b))) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))) |
(fma.f64 -1 (/.f64 a b) (fma.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (neg.f64 (/.f64 (*.f64 a a) (*.f64 b b))))) |
(-.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) a) (*.f64 b b)) (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (/.f64 a b)) |
(-.f64 (*.f64 (/.f64 a b) (-.f64 -1 (/.f64 a b))) (pow.f64 (/.f64 a b) 3)) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))))) |
(fma.f64 -1 (/.f64 a b) (fma.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (/.f64 (*.f64 a a) (*.f64 b b)))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) a) (*.f64 b b)) (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (/.f64 a b)) |
(-.f64 (-.f64 (*.f64 (/.f64 a b) (-.f64 -1 (/.f64 a b))) (pow.f64 (/.f64 a b) 3)) (/.f64 (pow.f64 a 4) (pow.f64 b 4))) |
(-.f64 (-.f64 (*.f64 (/.f64 a b) (-.f64 -1 (/.f64 a b))) (pow.f64 (/.f64 a b) 3)) (pow.f64 (/.f64 a b) 4)) |
1 |
(+.f64 (/.f64 b a) 1) |
(/.f64 (+.f64 b a) a) |
(+.f64 (/.f64 b a) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (+.f64 (/.f64 b a) 1) (/.f64 (*.f64 b b) (*.f64 a a))) |
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (+.f64 (/.f64 b a) 1)) |
(+.f64 1 (*.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a))) |
(+.f64 1 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 b a))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) 1) (/.f64 (pow.f64 b 3) (pow.f64 a 3)))) |
(+.f64 (/.f64 b a) (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (+.f64 1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))))) |
(+.f64 (*.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a)) (+.f64 1 (pow.f64 (/.f64 b a) 3))) |
(+.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 b a)) (+.f64 1 (pow.f64 (/.f64 b a) 3))) |
1 |
(+.f64 (/.f64 b a) 1) |
(/.f64 (+.f64 b a) a) |
(+.f64 (/.f64 b a) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (+.f64 (/.f64 b a) 1) (/.f64 (*.f64 b b) (*.f64 a a))) |
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (+.f64 (/.f64 b a) 1)) |
(+.f64 1 (*.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a))) |
(+.f64 1 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 b a))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) 1) (/.f64 (pow.f64 b 3) (pow.f64 a 3)))) |
(+.f64 (/.f64 b a) (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (+.f64 1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))))) |
(+.f64 (*.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a)) (+.f64 1 (pow.f64 (/.f64 b a) 3))) |
(+.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 b a)) (+.f64 1 (pow.f64 (/.f64 b a) 3))) |
1 |
(+.f64 (/.f64 b a) 1) |
(/.f64 (+.f64 b a) a) |
(+.f64 (/.f64 b a) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (+.f64 (/.f64 b a) 1) (/.f64 (*.f64 b b) (*.f64 a a))) |
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (+.f64 (/.f64 b a) 1)) |
(+.f64 1 (*.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a))) |
(+.f64 1 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 b a))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) 1) (/.f64 (pow.f64 b 3) (pow.f64 a 3)))) |
(+.f64 (/.f64 b a) (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (+.f64 1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))))) |
(+.f64 (*.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a)) (+.f64 1 (pow.f64 (/.f64 b a) 3))) |
(+.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 b a)) (+.f64 1 (pow.f64 (/.f64 b a) 3))) |
(*.f64 -1 (/.f64 a b)) |
(/.f64 (neg.f64 a) b) |
(/.f64 a (neg.f64 b)) |
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) |
(*.f64 -1 (+.f64 (/.f64 a b) (/.f64 (*.f64 a a) (*.f64 b b)))) |
(-.f64 (/.f64 (neg.f64 a) b) (*.f64 (/.f64 a b) (/.f64 a b))) |
(*.f64 (/.f64 a b) (-.f64 -1 (/.f64 a b))) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))) |
(fma.f64 -1 (/.f64 a b) (fma.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (neg.f64 (/.f64 (*.f64 a a) (*.f64 b b))))) |
(-.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) a) (*.f64 b b)) (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (/.f64 a b)) |
(-.f64 (*.f64 (/.f64 a b) (-.f64 -1 (/.f64 a b))) (pow.f64 (/.f64 a b) 3)) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))))) |
(fma.f64 -1 (/.f64 a b) (fma.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (/.f64 (*.f64 a a) (*.f64 b b)))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) a) (*.f64 b b)) (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (/.f64 a b)) |
(-.f64 (-.f64 (*.f64 (/.f64 a b) (-.f64 -1 (/.f64 a b))) (pow.f64 (/.f64 a b) 3)) (/.f64 (pow.f64 a 4) (pow.f64 b 4))) |
(-.f64 (-.f64 (*.f64 (/.f64 a b) (-.f64 -1 (/.f64 a b))) (pow.f64 (/.f64 a b) 3)) (pow.f64 (/.f64 a b) 4)) |
(*.f64 -1 (/.f64 a b)) |
(/.f64 (neg.f64 a) b) |
(/.f64 a (neg.f64 b)) |
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) |
(*.f64 -1 (+.f64 (/.f64 a b) (/.f64 (*.f64 a a) (*.f64 b b)))) |
(-.f64 (/.f64 (neg.f64 a) b) (*.f64 (/.f64 a b) (/.f64 a b))) |
(*.f64 (/.f64 a b) (-.f64 -1 (/.f64 a b))) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))) |
(fma.f64 -1 (/.f64 a b) (fma.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (neg.f64 (/.f64 (*.f64 a a) (*.f64 b b))))) |
(-.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) a) (*.f64 b b)) (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (/.f64 a b)) |
(-.f64 (*.f64 (/.f64 a b) (-.f64 -1 (/.f64 a b))) (pow.f64 (/.f64 a b) 3)) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))))) |
(fma.f64 -1 (/.f64 a b) (fma.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (/.f64 (*.f64 a a) (*.f64 b b)))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) a) (*.f64 b b)) (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (/.f64 a b)) |
(-.f64 (-.f64 (*.f64 (/.f64 a b) (-.f64 -1 (/.f64 a b))) (pow.f64 (/.f64 a b) 3)) (/.f64 (pow.f64 a 4) (pow.f64 b 4))) |
(-.f64 (-.f64 (*.f64 (/.f64 a b) (-.f64 -1 (/.f64 a b))) (pow.f64 (/.f64 a b) 3)) (pow.f64 (/.f64 a b) 4)) |
Compiled 13316 to 8067 computations (39.4% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 704 | 5 | 709 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 5 | 0 | 5 |
| Total | 710 | 5 | 715 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (pow.f64 (*.f64 (/.f64 (/.f64 (+.f64 a b) a) a) (-.f64 a b)) 1/2) |
| ▶ | 1.0b | (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) |
| 2.0b | 1 | |
| ▶ | 0b | (exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 (/.f64 b a) (/.f64 a b)))) 1/2)) |
| ▶ | 0.0b | (pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2) |
Compiled 57 to 38 computations (33.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (log1p.f64 (neg.f64 (/.f64 (/.f64 b a) (/.f64 a b)))) |
| ✓ | 0.0b | (*.f64 (log1p.f64 (neg.f64 (/.f64 (/.f64 b a) (/.f64 a b)))) 1/2) |
| ✓ | 0.3b | (/.f64 (/.f64 b a) (/.f64 a b)) |
Compiled 58 to 13 computations (77.6% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | inf | (*.f64 (log1p.f64 (neg.f64 (/.f64 (/.f64 b a) (/.f64 a b)))) 1/2) |
| 1.0ms | b | @ | 0 | (*.f64 (log1p.f64 (neg.f64 (/.f64 (/.f64 b a) (/.f64 a b)))) 1/2) |
| 1.0ms | b | @ | inf | (/.f64 (/.f64 b a) (/.f64 a b)) |
| 1.0ms | b | @ | 0 | (/.f64 (/.f64 b a) (/.f64 a b)) |
| 1.0ms | a | @ | 0 | (/.f64 (/.f64 b a) (/.f64 a b)) |
| 1× | batch-egg-rewrite |
| 562× | prod-diff_binary64 |
| 542× | log-prod_binary64 |
| 279× | pow-prod-down_binary64 |
| 257× | pow-unpow_binary64 |
| 244× | pow2_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 41 |
| 1 | 218 | 28 |
| 2 | 3013 | 25 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 b a) (/.f64 a b)) |
(*.f64 (log1p.f64 (neg.f64 (/.f64 (/.f64 b a) (/.f64 a b)))) 1/2) |
(log1p.f64 (neg.f64 (/.f64 (/.f64 b a) (/.f64 a b)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 b (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 b a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 b a) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b b) (pow.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (pow.f64 (cbrt.f64 (/.f64 b a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (/.f64 (/.f64 b a) (cbrt.f64 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 4) (pow.f64 (cbrt.f64 (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 4) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b a)) (pow.f64 (/.f64 a b) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b a)) (pow.f64 (/.f64 b a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 b) a) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 b) a) (/.f64 1 (/.f64 (neg.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 (/.f64 b a) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (*.f64 a a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (*.f64 a a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b a) b) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 a b)) (/.f64 (cbrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (/.f64 a b)) (/.f64 (sqrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) a) (/.f64 (cbrt.f64 (/.f64 b a)) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 b a)) a) (/.f64 (sqrt.f64 (/.f64 b a)) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b 1) (/.f64 (/.f64 1 a) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) 1) (pow.f64 (cbrt.f64 (/.f64 b a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 b a)) 1) (pow.f64 (/.f64 b a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (cbrt.f64 (pow.f64 (/.f64 b a) -2))) (/.f64 (/.f64 1 a) (cbrt.f64 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (cbrt.f64 (pow.f64 (/.f64 b a) -2))) (pow.f64 (cbrt.f64 (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 b a)) (cbrt.f64 (pow.f64 (/.f64 b a) -2))) (/.f64 (sqrt.f64 (/.f64 b a)) (cbrt.f64 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (sqrt.f64 (/.f64 a b))) (/.f64 (/.f64 1 a) (sqrt.f64 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (sqrt.f64 (/.f64 a b))) (/.f64 (cbrt.f64 (/.f64 b a)) (sqrt.f64 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 b a) 1) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 4)) (pow.f64 (cbrt.f64 (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 b (*.f64 a a))) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 b a) (neg.f64 a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (neg.f64 b) a) 1) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 b a) 3/2) (sqrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 5) (cbrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b (*.f64 a a)) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b (*.f64 a a)) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b (*.f64 a a)) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 b a)) 4)) (pow.f64 (cbrt.f64 (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (/.f64 b (*.f64 a a))) b)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a b) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b a)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b a)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 b a) 3) (pow.f64 (/.f64 b a) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 b a) -2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a b) (/.f64 (neg.f64 b) a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 b a) (/.f64 (neg.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b a) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 b a) 3) (pow.f64 (/.f64 b a) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 b a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (/.f64 b a)) (hypot.f64 1 (/.f64 b a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1)) 2) (cbrt.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1)) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (hypot.f64 1 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (/.f64 b a))) 2)) (log.f64 (cbrt.f64 (hypot.f64 1 (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (hypot.f64 1 (/.f64 b a)))) (log.f64 (sqrt.f64 (hypot.f64 1 (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (hypot.f64 1 (/.f64 b a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (hypot.f64 1 (/.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (hypot.f64 1 (/.f64 b a))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (hypot.f64 1 (/.f64 b a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (hypot.f64 1 (/.f64 b a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (hypot.f64 1 (/.f64 b a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (hypot.f64 1 (/.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (hypot.f64 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (hypot.f64 1 (/.f64 b a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (hypot.f64 1 (/.f64 b a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (hypot.f64 1 (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (hypot.f64 1 (/.f64 b a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (hypot.f64 1 (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 1 (/.f64 b a)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (hypot.f64 1 (/.f64 b a))) (log.f64 (hypot.f64 1 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (/.f64 b a) 6)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 b a) 4) (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) (log1p.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2))) 2) (cbrt.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2))) (sqrt.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2))) 1)))))) |
| 1× | egg-herbie |
| 550× | fma-def_binary64 |
| 533× | associate-/r/_binary64 |
| 468× | associate-+l-_binary64 |
| 443× | associate-+l+_binary64 |
| 372× | associate-/l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 1983 |
| 1 | 331 | 1933 |
| 2 | 1012 | 1881 |
| 3 | 4024 | 1861 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 8) (pow.f64 a 8))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
(*.f64 1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 1 b))))) |
(+.f64 (*.f64 1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 1 b))))) (*.f64 -1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) |
(+.f64 (*.f64 1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 1 b))))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1/4 (/.f64 (pow.f64 a 4) (pow.f64 b 4))))) |
(+.f64 (*.f64 1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 1 b))))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1/6 (/.f64 (pow.f64 a 6) (pow.f64 b 6)))))) |
(*.f64 1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 -1 b))))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 -1 b)))))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 -1 b))))))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (*.f64 1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 -1 b))))) (*.f64 -1/6 (/.f64 (pow.f64 a 6) (pow.f64 b 6)))))) |
(*.f64 1/2 (+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (*.f64 -2 (log.f64 a)))) |
(+.f64 (*.f64 1/2 (+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (*.f64 -2 (log.f64 a)))) (*.f64 -1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) |
(+.f64 (*.f64 1/2 (+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (*.f64 -2 (log.f64 a)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1/4 (/.f64 (pow.f64 a 4) (pow.f64 b 4))))) |
(+.f64 (*.f64 1/2 (+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (*.f64 -2 (log.f64 a)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1/6 (/.f64 (pow.f64 a 6) (pow.f64 b 6)))))) |
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 8) (pow.f64 a 8))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 8) (pow.f64 a 8))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/3 (/.f64 (pow.f64 b 6) (pow.f64 a 6))))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 b 8) (pow.f64 a 8))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/3 (/.f64 (pow.f64 b 6) (pow.f64 a 6)))))) |
(+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 1 b)))) |
(+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))) |
(+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1/2 (/.f64 (pow.f64 a 4) (pow.f64 b 4)))))) |
(+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 a 6) (pow.f64 b 6))) (*.f64 -1/2 (/.f64 (pow.f64 a 4) (pow.f64 b 4))))))) |
(+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 -1 b)))) |
(+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -2 (log.f64 (/.f64 -1 b))))) |
(+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 b))) (*.f64 -1/2 (/.f64 (pow.f64 a 4) (pow.f64 b 4)))))) |
(+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 a 6) (pow.f64 b 6))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 b))) (*.f64 -1/2 (/.f64 (pow.f64 a 4) (pow.f64 b 4))))))) |
(+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (*.f64 -2 (log.f64 a))) |
(+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (+.f64 (*.f64 -2 (log.f64 a)) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))) |
(+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (+.f64 (*.f64 -2 (log.f64 a)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1/2 (/.f64 (pow.f64 a 4) (pow.f64 b 4)))))) |
(+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (+.f64 (*.f64 -2 (log.f64 a)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 a 6) (pow.f64 b 6))) (*.f64 -1/2 (/.f64 (pow.f64 a 4) (pow.f64 b 4))))))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/3 (/.f64 (pow.f64 b 6) (pow.f64 a 6))))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 b 8) (pow.f64 a 8))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/3 (/.f64 (pow.f64 b 6) (pow.f64 a 6)))))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/3 (/.f64 (pow.f64 b 6) (pow.f64 a 6))))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 b 8) (pow.f64 a 8))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/3 (/.f64 (pow.f64 b 6) (pow.f64 a 6)))))) |
| Outputs |
|---|
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
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(fma.f64 -1/2 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (-.f64 (fma.f64 -2 (log.f64 a) (log.f64 (*.f64 b (neg.f64 b)))) (*.f64 (/.f64 a b) (/.f64 a b)))) |
(+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (+.f64 (*.f64 -2 (log.f64 a)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 a 6) (pow.f64 b 6))) (*.f64 -1/2 (/.f64 (pow.f64 a 4) (pow.f64 b 4))))))) |
(+.f64 (log.f64 (/.f64 -1 (*.f64 a a))) (fma.f64 -2 (neg.f64 (log.f64 b)) (fma.f64 -1 (/.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 -1/3 (/.f64 (pow.f64 a 6) (pow.f64 b 6)) (/.f64 (*.f64 -1/2 (pow.f64 a 4)) (pow.f64 b 4)))))) |
(+.f64 (log.f64 (/.f64 -1 (*.f64 a a))) (fma.f64 -2 (neg.f64 (log.f64 b)) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (*.f64 (/.f64 (pow.f64 a 6) (pow.f64 b 6)) -1/3)) (*.f64 (/.f64 a b) (/.f64 a b))))) |
(+.f64 (-.f64 (log.f64 (*.f64 b (neg.f64 b))) (log.f64 (*.f64 a a))) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (/.f64 (pow.f64 a 6) (/.f64 (pow.f64 b 6) -1/3))) (*.f64 (/.f64 a b) (/.f64 a b)))) |
(+.f64 (fma.f64 -2 (log.f64 a) (log.f64 (*.f64 b (neg.f64 b)))) (fma.f64 -1/2 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (fma.f64 (/.f64 -1/3 (pow.f64 b 6)) (pow.f64 a 6) (*.f64 (/.f64 a (*.f64 b b)) (neg.f64 a))))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) |
(neg.f64 (*.f64 (/.f64 b a) (/.f64 b a))) |
(/.f64 b (/.f64 (*.f64 a a) (neg.f64 b))) |
(*.f64 (/.f64 b a) (/.f64 (neg.f64 b) a)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))) |
(fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (*.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))) |
(-.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 (/.f64 b a) (/.f64 b a))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/3 (/.f64 (pow.f64 b 6) (pow.f64 a 6))))) |
(fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) -1/3))) |
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) -1/3)) (*.f64 (/.f64 b a) (/.f64 b a))) |
(fma.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (-.f64 (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) -1/3) (*.f64 (/.f64 b a) (/.f64 b a)))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 b 8) (pow.f64 a 8))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/3 (/.f64 (pow.f64 b 6) (pow.f64 a 6)))))) |
(fma.f64 -1/4 (/.f64 (pow.f64 b 8) (pow.f64 a 8)) (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) -1/3)))) |
(fma.f64 -1/4 (/.f64 (pow.f64 b 8) (pow.f64 a 8)) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) -1/3)) (*.f64 (/.f64 b a) (/.f64 b a)))) |
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 b 8) (pow.f64 a 8)) (fma.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) -1/3))) (*.f64 (/.f64 b a) (/.f64 b a))) |
(fma.f64 -1/4 (/.f64 (pow.f64 b 8) (pow.f64 a 8)) (fma.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (-.f64 (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) -1/3) (*.f64 (/.f64 b a) (/.f64 b a))))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) |
(neg.f64 (*.f64 (/.f64 b a) (/.f64 b a))) |
(/.f64 b (/.f64 (*.f64 a a) (neg.f64 b))) |
(*.f64 (/.f64 b a) (/.f64 (neg.f64 b) a)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))) |
(fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (*.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))) |
(-.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 (/.f64 b a) (/.f64 b a))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/3 (/.f64 (pow.f64 b 6) (pow.f64 a 6))))) |
(fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) -1/3))) |
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) -1/3)) (*.f64 (/.f64 b a) (/.f64 b a))) |
(fma.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (-.f64 (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) -1/3) (*.f64 (/.f64 b a) (/.f64 b a)))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 b 8) (pow.f64 a 8))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/3 (/.f64 (pow.f64 b 6) (pow.f64 a 6)))))) |
(fma.f64 -1/4 (/.f64 (pow.f64 b 8) (pow.f64 a 8)) (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) -1/3)))) |
(fma.f64 -1/4 (/.f64 (pow.f64 b 8) (pow.f64 a 8)) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) -1/3)) (*.f64 (/.f64 b a) (/.f64 b a)))) |
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 b 8) (pow.f64 a 8)) (fma.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) -1/3))) (*.f64 (/.f64 b a) (/.f64 b a))) |
(fma.f64 -1/4 (/.f64 (pow.f64 b 8) (pow.f64 a 8)) (fma.f64 -1/2 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (-.f64 (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) -1/3) (*.f64 (/.f64 b a) (/.f64 b a))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (*.f64 (/.f64 (/.f64 (+.f64 a b) a) a) (-.f64 a b)) 1/2) |
| ✓ | 0.0b | (/.f64 (+.f64 a b) a) |
| ✓ | 0.1b | (/.f64 (/.f64 (+.f64 a b) a) a) |
| ✓ | 0.2b | (*.f64 (/.f64 (/.f64 (+.f64 a b) a) a) (-.f64 a b)) |
Compiled 47 to 10 computations (78.7% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 37.0ms | a | @ | inf | (*.f64 (/.f64 (/.f64 (+.f64 a b) a) a) (-.f64 a b)) |
| 1.0ms | a | @ | 0 | (pow.f64 (*.f64 (/.f64 (/.f64 (+.f64 a b) a) a) (-.f64 a b)) 1/2) |
| 1.0ms | a | @ | -inf | (pow.f64 (*.f64 (/.f64 (/.f64 (+.f64 a b) a) a) (-.f64 a b)) 1/2) |
| 1.0ms | a | @ | inf | (pow.f64 (*.f64 (/.f64 (/.f64 (+.f64 a b) a) a) (-.f64 a b)) 1/2) |
| 0.0ms | a | @ | -inf | (/.f64 (+.f64 a b) a) |
| 1× | batch-egg-rewrite |
| 630× | log-prod_binary64 |
| 570× | prod-diff_binary64 |
| 309× | pow2_binary64 |
| 267× | fma-def_binary64 |
| 238× | log-div_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 51 |
| 1 | 237 | 50 |
| 2 | 3551 | 50 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (/.f64 (+.f64 a b) a) a) (-.f64 a b)) |
(/.f64 (/.f64 (+.f64 a b) a) a) |
(/.f64 (+.f64 a b) a) |
(pow.f64 (*.f64 (/.f64 (/.f64 (+.f64 a b) a) a) (-.f64 a b)) 1/2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (+.f64 a b) (*.f64 a a)) (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (/.f64 (+.f64 a b) (*.f64 a a))) (*.f64 (neg.f64 b) (/.f64 (+.f64 a b) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 a b) (*.f64 a a)) a) (*.f64 (/.f64 (+.f64 a b) (*.f64 a a)) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (+.f64 a b) (*.f64 a a)) (-.f64 a b)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (+.f64 a b) (*.f64 a a)) (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (+.f64 a b) (*.f64 a a)) (-.f64 a b))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (+.f64 a b) (*.f64 a a)) (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 a b) (*.f64 a a)) (-.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 a b) (*.f64 a (/.f64 a (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 (*.f64 a (/.f64 a (+.f64 a b))) (fma.f64 a a (*.f64 b (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 (*.f64 a (/.f64 a (+.f64 a b))) (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) a) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) a)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a b) (-.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 a b) a) (-.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 a (fma.f64 a a (*.f64 b (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (neg.f64 (+.f64 a b)) a) (-.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 (neg.f64 a) (fma.f64 a a (*.f64 b (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a b) (-.f64 (*.f64 a a) (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 a b) a) (-.f64 (*.f64 a a) (*.f64 b b))) (*.f64 a (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (neg.f64 (+.f64 a b)) a) (-.f64 (*.f64 a a) (*.f64 b b))) (*.f64 (neg.f64 a) (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 a b)) (*.f64 (fma.f64 a a (*.f64 b (+.f64 a b))) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (+.f64 a b)) (*.f64 (+.f64 a b) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 a 3) (pow.f64 b 3)) (/.f64 (+.f64 a b) a)) (*.f64 (fma.f64 a a (*.f64 b (+.f64 a b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (/.f64 (+.f64 a b) a)) (*.f64 (+.f64 a b) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 a 3) (pow.f64 b 3)) 1) (*.f64 (fma.f64 a a (*.f64 b (+.f64 a b))) (*.f64 a (/.f64 a (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1) (*.f64 (+.f64 a b) (*.f64 a (/.f64 a (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 a 3) (pow.f64 b 3)) (/.f64 (neg.f64 (+.f64 a b)) a)) (*.f64 (fma.f64 a a (*.f64 b (+.f64 a b))) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (/.f64 (neg.f64 (+.f64 a b)) a)) (*.f64 (+.f64 a b) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) a) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) a) (cbrt.f64 (*.f64 a a))) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) a) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (neg.f64 (+.f64 a b)) a) (-.f64 a b)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 a 3) (pow.f64 b 3)) (/.f64 (+.f64 a b) (*.f64 a a))) (fma.f64 a a (*.f64 b (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (/.f64 (+.f64 a b) (*.f64 a a))) (+.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 a b) (*.f64 a a)) (-.f64 (pow.f64 a 3) (pow.f64 b 3))) (fma.f64 a a (*.f64 b (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 a b) (*.f64 a a)) (-.f64 (*.f64 a a) (*.f64 b b))) (+.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 a b) (/.f64 (neg.f64 (+.f64 a b)) a)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 a b) (*.f64 a a)) (-.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 a b)) a) (sqrt.f64 (-.f64 a b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 a b) (*.f64 a a)) (-.f64 a b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 a b) (*.f64 a a)) (-.f64 a b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 a b) (*.f64 a a)) (-.f64 a b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 a b) (*.f64 a a)) 3) (pow.f64 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| 1× | egg-herbie |
| 653× | associate-/l*_binary64 |
| 534× | associate-/r*_binary64 |
| 466× | fma-def_binary64 |
| 355× | associate-*r*_binary64 |
| 304× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 128 | 1622 |
| 1 | 414 | 1456 |
| 2 | 1719 | 1259 |
| 3 | 7313 | 1124 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 (/.f64 b a) (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a)))) |
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a))))) |
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a))))) |
1 |
(+.f64 (/.f64 b a) (+.f64 1 (*.f64 -1 (/.f64 b a)))) |
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a))))) |
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a))))) |
1 |
(+.f64 (/.f64 b a) (+.f64 1 (*.f64 -1 (/.f64 b a)))) |
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a))))) |
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(/.f64 b (pow.f64 a 2)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(/.f64 1 a) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(/.f64 1 a) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(/.f64 1 a) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(/.f64 b (pow.f64 a 2)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(/.f64 b (pow.f64 a 2)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(/.f64 b a) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
1 |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
1 |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
1 |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(/.f64 b a) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(/.f64 b a) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(/.f64 (*.f64 (sqrt.f64 -1) b) a) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a)) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (*.f64 1/2 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) 2)) a) (*.f64 (sqrt.f64 -1) b))))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) 2)) (*.f64 (+.f64 b (*.f64 -1 b)) (pow.f64 a 2))) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) 2)) a) (*.f64 (sqrt.f64 -1) b)))))) |
1 |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) a)) 1) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) a)) (+.f64 1 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) 2)) (pow.f64 a 2))))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) a)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) 2))) (pow.f64 a 3))) (+.f64 1 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) 2)) (pow.f64 a 2)))))) |
1 |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) a)) 1) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) a)) (+.f64 1 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 -1/2 (+.f64 b (*.f64 -1 b))) 2)) (pow.f64 a 2))))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) a)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 -1/2 (+.f64 b (*.f64 -1 b))) 2)) (+.f64 b (*.f64 -1 b))) (pow.f64 a 3))) (+.f64 1 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 -1/2 (+.f64 b (*.f64 -1 b))) 2)) (pow.f64 a 2)))))) |
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
(/.f64 (*.f64 (sqrt.f64 -1) b) a) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a)) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)))))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) |
(/.f64 (*.f64 b (neg.f64 b)) (*.f64 a a)) |
(/.f64 b (/.f64 (*.f64 a a) (neg.f64 b))) |
(+.f64 (/.f64 b a) (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) |
(/.f64 (*.f64 b (neg.f64 b)) (*.f64 a a)) |
(/.f64 b (/.f64 (*.f64 a a) (neg.f64 b))) |
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a))))) |
(+.f64 (+.f64 (/.f64 b a) 1) (*.f64 -1 (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 b a)))) |
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a))) |
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a))))) |
(+.f64 (+.f64 (/.f64 b a) 1) (*.f64 -1 (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 b a)))) |
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a))) |
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
1 |
(+.f64 (/.f64 b a) (+.f64 1 (*.f64 -1 (/.f64 b a)))) |
1 |
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a))))) |
(+.f64 (+.f64 (/.f64 b a) 1) (*.f64 -1 (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 b a)))) |
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a))) |
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a))))) |
(+.f64 (+.f64 (/.f64 b a) 1) (*.f64 -1 (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 b a)))) |
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a))) |
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
1 |
(+.f64 (/.f64 b a) (+.f64 1 (*.f64 -1 (/.f64 b a)))) |
1 |
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a))))) |
(+.f64 (+.f64 (/.f64 b a) 1) (*.f64 -1 (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 b a)))) |
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a))) |
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a))))) |
(+.f64 (+.f64 (/.f64 b a) 1) (*.f64 -1 (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 b a)))) |
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a))) |
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (+.f64 (/.f64 b a) 1) (*.f64 -1 (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 b a)))) |
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a))) |
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (+.f64 (/.f64 b a) 1) (*.f64 -1 (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 b a)))) |
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a))) |
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (+.f64 (/.f64 b a) 1) (*.f64 -1 (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 b a)))) |
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a))) |
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) |
(/.f64 (*.f64 b (neg.f64 b)) (*.f64 a a)) |
(/.f64 b (/.f64 (*.f64 a a) (neg.f64 b))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (+.f64 (/.f64 b a) 1) (*.f64 -1 (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 b a)))) |
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a))) |
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (+.f64 (/.f64 b a) 1) (*.f64 -1 (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 b a)))) |
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a))) |
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (+.f64 (/.f64 b a) 1) (*.f64 -1 (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 b a)))) |
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a))) |
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) |
(/.f64 (*.f64 b (neg.f64 b)) (*.f64 a a)) |
(/.f64 b (/.f64 (*.f64 a a) (neg.f64 b))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (+.f64 (/.f64 b a) 1) (*.f64 -1 (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 b a)))) |
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a))) |
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (+.f64 (/.f64 b a) 1) (*.f64 -1 (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 b a)))) |
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a))) |
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (+.f64 (/.f64 b a) 1) (*.f64 -1 (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 b a)))) |
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a))) |
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (*.f64 a a)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (*.f64 a a)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (*.f64 a a)) (/.f64 1 a)) |
(/.f64 1 a) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (*.f64 a a)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (*.f64 a a)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (*.f64 a a)) (/.f64 1 a)) |
(/.f64 1 a) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (*.f64 a a)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (*.f64 a a)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (*.f64 a a)) (/.f64 1 a)) |
(/.f64 1 a) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (*.f64 a a)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (*.f64 a a)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (*.f64 a a)) (/.f64 1 a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (*.f64 a a)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (*.f64 a a)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (*.f64 a a)) (/.f64 1 a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (*.f64 a a)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (*.f64 a a)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (*.f64 a a)) (/.f64 1 a)) |
(/.f64 b a) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
1 |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
1 |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
1 |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(/.f64 b a) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(/.f64 b a) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(/.f64 (*.f64 (sqrt.f64 -1) b) a) |
(/.f64 (sqrt.f64 -1) (/.f64 a b)) |
(/.f64 b (/.f64 a (sqrt.f64 -1))) |
(*.f64 b (/.f64 (sqrt.f64 -1) a)) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a)) |
(/.f64 (sqrt.f64 -1) (/.f64 a b)) |
(/.f64 b (/.f64 a (sqrt.f64 -1))) |
(*.f64 b (/.f64 (sqrt.f64 -1) a)) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (*.f64 1/2 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) 2)) a) (*.f64 (sqrt.f64 -1) b))))) |
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 (*.f64 0 b) (sqrt.f64 -1)) b) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (*.f64 1/2 (/.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (/.f64 (*.f64 0 b) (sqrt.f64 -1)) b)) 2)) (/.f64 (sqrt.f64 -1) (/.f64 a b))))) |
(+.f64 (/.f64 (/.f64 0 (sqrt.f64 -1)) b) (fma.f64 1/2 (*.f64 (/.f64 a (sqrt.f64 -1)) (/.f64 (-.f64 1 (pow.f64 (/.f64 (/.f64 0 (sqrt.f64 -1)) b) 2)) b)) (/.f64 b (/.f64 a (sqrt.f64 -1))))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 b (/.f64 (sqrt.f64 -1) a))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) 2)) (*.f64 (+.f64 b (*.f64 -1 b)) (pow.f64 a 2))) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) 2)) a) (*.f64 (sqrt.f64 -1) b)))))) |
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 (*.f64 0 b) (sqrt.f64 -1)) b) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (*.f64 1/2 (/.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (/.f64 (*.f64 0 b) (sqrt.f64 -1)) b)) 2)) (/.f64 (sqrt.f64 -1) (/.f64 a b))))) |
(+.f64 (/.f64 (/.f64 0 (sqrt.f64 -1)) b) (fma.f64 1/2 (*.f64 (/.f64 a (sqrt.f64 -1)) (/.f64 (-.f64 1 (pow.f64 (/.f64 (/.f64 0 (sqrt.f64 -1)) b) 2)) b)) (/.f64 b (/.f64 a (sqrt.f64 -1))))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 b (/.f64 (sqrt.f64 -1) a))) |
1 |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) a)) 1) |
1 |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) a)) (+.f64 1 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) 2)) (pow.f64 a 2))))) |
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 0 b) a) 1) (*.f64 1/2 (/.f64 (-.f64 (neg.f64 (*.f64 b b)) (pow.f64 (*.f64 1/2 (*.f64 0 b)) 2)) (*.f64 a a)))) |
(+.f64 (/.f64 0 a) (fma.f64 1/2 (/.f64 (fma.f64 -1 (*.f64 b b) 0) (*.f64 a a)) 1)) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) a)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) 2))) (pow.f64 a 3))) (+.f64 1 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) 2)) (pow.f64 a 2)))))) |
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 0 b) a) 1) (*.f64 1/2 (/.f64 (-.f64 (neg.f64 (*.f64 b b)) (pow.f64 (*.f64 1/2 (*.f64 0 b)) 2)) (*.f64 a a)))) |
(+.f64 (/.f64 0 a) (fma.f64 1/2 (/.f64 (fma.f64 -1 (*.f64 b b) 0) (*.f64 a a)) 1)) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1) |
1 |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) a)) 1) |
1 |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) a)) (+.f64 1 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 -1/2 (+.f64 b (*.f64 -1 b))) 2)) (pow.f64 a 2))))) |
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 0 b) a) 1) (*.f64 1/2 (/.f64 (-.f64 (neg.f64 (*.f64 b b)) (pow.f64 (*.f64 1/2 (*.f64 0 b)) 2)) (*.f64 a a)))) |
(+.f64 (/.f64 0 a) (fma.f64 1/2 (/.f64 (fma.f64 -1 (*.f64 b b) 0) (*.f64 a a)) 1)) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) a)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 -1/2 (+.f64 b (*.f64 -1 b))) 2)) (+.f64 b (*.f64 -1 b))) (pow.f64 a 3))) (+.f64 1 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 -1/2 (+.f64 b (*.f64 -1 b))) 2)) (pow.f64 a 2)))))) |
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 0 b) a) 1) (*.f64 1/2 (/.f64 (-.f64 (neg.f64 (*.f64 b b)) (pow.f64 (*.f64 1/2 (*.f64 0 b)) 2)) (*.f64 a a)))) |
(+.f64 (/.f64 0 a) (fma.f64 1/2 (/.f64 (fma.f64 -1 (*.f64 b b) 0) (*.f64 a a)) 1)) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1) |
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 0 b) a) 1) (*.f64 1/2 (/.f64 (-.f64 (neg.f64 (*.f64 b b)) (pow.f64 (*.f64 1/2 (*.f64 0 b)) 2)) (*.f64 a a)))) |
(+.f64 (/.f64 0 a) (fma.f64 1/2 (/.f64 (fma.f64 -1 (*.f64 b b) 0) (*.f64 a a)) 1)) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1) |
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 1 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2))) |
(+.f64 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2)))) |
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))))) |
(fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1))) |
(/.f64 (*.f64 (sqrt.f64 -1) b) a) |
(/.f64 (sqrt.f64 -1) (/.f64 a b)) |
(/.f64 b (/.f64 a (sqrt.f64 -1))) |
(*.f64 b (/.f64 (sqrt.f64 -1) a)) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a)) |
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 (*.f64 0 b) (sqrt.f64 -1)) b) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (*.f64 1/2 (/.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (/.f64 (*.f64 0 b) (sqrt.f64 -1)) b)) 2)) (/.f64 (sqrt.f64 -1) (/.f64 a b))))) |
(+.f64 (/.f64 (/.f64 0 (sqrt.f64 -1)) b) (fma.f64 1/2 (*.f64 (/.f64 a (sqrt.f64 -1)) (/.f64 (-.f64 1 (pow.f64 (/.f64 (/.f64 0 (sqrt.f64 -1)) b) 2)) b)) (/.f64 b (/.f64 a (sqrt.f64 -1))))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 b (/.f64 (sqrt.f64 -1) a))) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))) |
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 -1/8 (/.f64 (/.f64 (/.f64 (pow.f64 a 3) -1) (sqrt.f64 -1)) (pow.f64 b 3)) (/.f64 b (/.f64 a (sqrt.f64 -1))))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 b (/.f64 (sqrt.f64 -1) a)))) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))) |
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))) |
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (/.f64 b (/.f64 a (sqrt.f64 -1)))) (fma.f64 -1/8 (/.f64 (/.f64 (/.f64 (pow.f64 a 3) -1) (sqrt.f64 -1)) (pow.f64 b 3)) (*.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 5) (pow.f64 b 5))))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 5) (pow.f64 b 5)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 b (/.f64 (sqrt.f64 -1) a))))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) |
(neg.f64 (/.f64 (sqrt.f64 -1) (/.f64 a b))) |
(/.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 a b)) |
(*.f64 (/.f64 (sqrt.f64 -1) a) (neg.f64 b)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)))) |
(fma.f64 -1 (/.f64 (sqrt.f64 -1) (/.f64 a b)) (*.f64 -1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b))) |
(-.f64 (*.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1))) (/.f64 b (/.f64 a (sqrt.f64 -1)))) |
(fma.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 (sqrt.f64 -1) a) (neg.f64 b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))))) |
(fma.f64 -1 (/.f64 (sqrt.f64 -1) (/.f64 a b)) (fma.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b)))) |
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 1/8 (pow.f64 b 3)) (/.f64 (/.f64 (pow.f64 a 3) -1) (sqrt.f64 -1)))) (/.f64 b (/.f64 a (sqrt.f64 -1)))) |
(fma.f64 (/.f64 -1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 (sqrt.f64 -1) a) (neg.f64 b)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)))))) |
(fma.f64 -1 (/.f64 (sqrt.f64 -1) (/.f64 a b)) (fma.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))) (fma.f64 -1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (*.f64 -1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b))))) |
(-.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (pow.f64 a 3) -1) (sqrt.f64 -1)) (pow.f64 b 3)) 1/8 (fma.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 -1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 5) (pow.f64 b 5))))) (/.f64 b (/.f64 a (sqrt.f64 -1)))) |
(-.f64 (fma.f64 -1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (fma.f64 (/.f64 -1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1))))) (*.f64 b (/.f64 (sqrt.f64 -1) a))) |
(fma.f64 (/.f64 -1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (fma.f64 (/.f64 -1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 5) (pow.f64 b 5)) (*.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)))) (*.f64 b (/.f64 (sqrt.f64 -1) a)))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2) |
| 0.3b | (/.f64 (/.f64 b a) (/.f64 a b)) |
Compiled 39 to 13 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | 0 | (pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2) |
| 1.0ms | b | @ | inf | (pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2) |
| 1.0ms | a | @ | inf | (pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2) |
| 1.0ms | b | @ | -inf | (pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2) |
| 1.0ms | a | @ | 0 | (pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2) |
| 1× | batch-egg-rewrite |
| 549× | log-prod_binary64 |
| 540× | prod-diff_binary64 |
| 303× | pow-prod-down_binary64 |
| 272× | pow2_binary64 |
| 212× | log-div_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 15 |
| 1 | 226 | 12 |
| 2 | 3066 | 12 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/6) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 a b) -4))) (hypot.f64 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 6))) (hypot.f64 1 (hypot.f64 (/.f64 b a) (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1)))))) |
| 1× | egg-herbie |
| 829× | times-frac_binary64 |
| 600× | cancel-sign-sub-inv_binary64 |
| 501× | fma-neg_binary64 |
| 411× | distribute-neg-frac_binary64 |
| 324× | associate-/l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 688 |
| 1 | 192 | 675 |
| 2 | 641 | 641 |
| 3 | 4262 | 623 |
| 4 | 5850 | 596 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
(/.f64 (*.f64 (sqrt.f64 -1) b) a) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a)) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)))))) |
(/.f64 (*.f64 (sqrt.f64 -1) b) a) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a)) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))) |
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a))) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) |
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 1 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1)) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a))))) |
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))))) |
(fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1))) |
(fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1))) |
(/.f64 (*.f64 (sqrt.f64 -1) b) a) |
(/.f64 (sqrt.f64 -1) (/.f64 a b)) |
(*.f64 (/.f64 (sqrt.f64 -1) a) b) |
(*.f64 b (/.f64 (sqrt.f64 -1) a)) |
(*.f64 (/.f64 b a) (sqrt.f64 -1)) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a)) |
(fma.f64 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (/.f64 (sqrt.f64 -1) (/.f64 a b))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 b (/.f64 (sqrt.f64 -1) a))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 b a) (sqrt.f64 -1))) |
(fma.f64 b (/.f64 (sqrt.f64 -1) a) (/.f64 (*.f64 1/2 (/.f64 a b)) (sqrt.f64 -1))) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))) |
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (/.f64 (*.f64 -1/8 (pow.f64 a 3)) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (*.f64 (/.f64 (sqrt.f64 -1) a) b))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 b (/.f64 (sqrt.f64 -1) a)))) |
(fma.f64 (/.f64 (sqrt.f64 -1) a) b (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (/.f64 (*.f64 1/2 (/.f64 a b)) (sqrt.f64 -1)))) |
(fma.f64 b (/.f64 (sqrt.f64 -1) a) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (/.f64 (*.f64 1/2 (/.f64 a b)) (sqrt.f64 -1)))) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))) |
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (/.f64 (*.f64 -1/8 (pow.f64 a 3)) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))) |
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) (fma.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 b (/.f64 (sqrt.f64 -1) a))))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 5) (pow.f64 b 5)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (*.f64 (/.f64 b a) (sqrt.f64 -1))))) |
(fma.f64 b (/.f64 (sqrt.f64 -1) a) (fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/16 (pow.f64 b 5)) (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -1) 5)) (*.f64 (pow.f64 (/.f64 a b) 3) (/.f64 1/8 (sqrt.f64 -1)))))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) |
(neg.f64 (/.f64 (sqrt.f64 -1) (/.f64 a b))) |
(/.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 a b)) |
(*.f64 (/.f64 (sqrt.f64 -1) a) (neg.f64 b)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)))) |
(fma.f64 -1 (/.f64 (sqrt.f64 -1) (/.f64 a b)) (*.f64 -1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b))) |
(-.f64 (*.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1))) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) |
(-.f64 (*.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1))) (*.f64 b (/.f64 (sqrt.f64 -1) a))) |
(-.f64 (*.f64 (/.f64 a b) (/.f64 -1/2 (sqrt.f64 -1))) (*.f64 (/.f64 b a) (sqrt.f64 -1))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))))) |
(fma.f64 -1 (/.f64 (sqrt.f64 -1) (/.f64 a b)) (fma.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b)))) |
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 1/8 (pow.f64 b 3)) (/.f64 (pow.f64 a 3) (*.f64 -1 (sqrt.f64 -1))))) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) |
(-.f64 (fma.f64 (/.f64 -1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)))) (*.f64 b (/.f64 (sqrt.f64 -1) a))) |
(-.f64 (*.f64 (/.f64 a b) (/.f64 -1/2 (sqrt.f64 -1))) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (*.f64 (/.f64 b a) (sqrt.f64 -1)))) |
(-.f64 (*.f64 (/.f64 a b) (/.f64 -1/2 (sqrt.f64 -1))) (fma.f64 b (/.f64 (sqrt.f64 -1) a) (*.f64 (pow.f64 (/.f64 a b) 3) (/.f64 1/8 (sqrt.f64 -1))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)))))) |
(fma.f64 -1 (/.f64 (sqrt.f64 -1) (/.f64 a b)) (fma.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))) (fma.f64 -1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (*.f64 -1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b))))) |
(-.f64 (fma.f64 (/.f64 (pow.f64 a 3) (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) 1/8 (fma.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 -1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))))) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) |
(-.f64 (fma.f64 -1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (fma.f64 (/.f64 -1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1))))) (*.f64 b (/.f64 (sqrt.f64 -1) a))) |
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 -1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3))) (fma.f64 (/.f64 1/16 (pow.f64 b 5)) (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -1) 5)) (*.f64 (/.f64 b a) (sqrt.f64 -1)))) |
(-.f64 (*.f64 (/.f64 a b) (/.f64 -1/2 (sqrt.f64 -1))) (fma.f64 (/.f64 1/16 (pow.f64 b 5)) (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -1) 5)) (fma.f64 b (/.f64 (sqrt.f64 -1) a) (*.f64 (pow.f64 (/.f64 a b) 3) (/.f64 1/8 (sqrt.f64 -1)))))) |
(/.f64 (*.f64 (sqrt.f64 -1) b) a) |
(/.f64 (sqrt.f64 -1) (/.f64 a b)) |
(*.f64 (/.f64 (sqrt.f64 -1) a) b) |
(*.f64 b (/.f64 (sqrt.f64 -1) a)) |
(*.f64 (/.f64 b a) (sqrt.f64 -1)) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a)) |
(fma.f64 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (/.f64 (sqrt.f64 -1) (/.f64 a b))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 b (/.f64 (sqrt.f64 -1) a))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 b a) (sqrt.f64 -1))) |
(fma.f64 b (/.f64 (sqrt.f64 -1) a) (/.f64 (*.f64 1/2 (/.f64 a b)) (sqrt.f64 -1))) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))) |
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (/.f64 (*.f64 -1/8 (pow.f64 a 3)) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (*.f64 (/.f64 (sqrt.f64 -1) a) b))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 b (/.f64 (sqrt.f64 -1) a)))) |
(fma.f64 (/.f64 (sqrt.f64 -1) a) b (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (/.f64 (*.f64 1/2 (/.f64 a b)) (sqrt.f64 -1)))) |
(fma.f64 b (/.f64 (sqrt.f64 -1) a) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (/.f64 (*.f64 1/2 (/.f64 a b)) (sqrt.f64 -1)))) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))) |
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (/.f64 (*.f64 -1/8 (pow.f64 a 3)) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))) |
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) (fma.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 b (/.f64 (sqrt.f64 -1) a))))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 5) (pow.f64 b 5)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (*.f64 (/.f64 b a) (sqrt.f64 -1))))) |
(fma.f64 b (/.f64 (sqrt.f64 -1) a) (fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/16 (pow.f64 b 5)) (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -1) 5)) (*.f64 (pow.f64 (/.f64 a b) 3) (/.f64 1/8 (sqrt.f64 -1)))))) |
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a))) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) |
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 1 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1)) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a))))) |
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))))) |
(fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1))) |
(fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1))) |
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a))) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) |
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 1 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1)) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a))))) |
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))))) |
(fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1))) |
(fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (*.f64 (/.f64 b a) (/.f64 b a)) |
Compiled 26 to 9 computations (65.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | -inf | (*.f64 (/.f64 b a) (/.f64 b a)) |
| 1.0ms | a | @ | -inf | (*.f64 (/.f64 b a) (/.f64 b a)) |
| 1.0ms | b | @ | 0 | (*.f64 (/.f64 b a) (/.f64 b a)) |
| 1.0ms | b | @ | inf | (*.f64 (/.f64 b a) (/.f64 b a)) |
| 0.0ms | a | @ | 0 | (*.f64 (/.f64 b a) (/.f64 b a)) |
| 1× | batch-egg-rewrite |
| 585× | pow1_binary64 |
| 545× | add-log-exp_binary64 |
| 545× | log1p-expm1-u_binary64 |
| 545× | expm1-log1p-u_binary64 |
| 530× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 109 | 7 |
| 2 | 1538 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 b a) (/.f64 b a)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (/.f64 b a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (*.f64 a (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (*.f64 (/.f64 a b) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (/.f64 (*.f64 a a) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (/.f64 a (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b a) (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 a b) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 a a) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 b (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b b) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b) (*.f64 (/.f64 a b) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b (/.f64 b a)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (*.f64 (neg.f64 a) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 b b)) (neg.f64 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 b (/.f64 b a))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 a) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b) 1) (*.f64 (neg.f64 a) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b (neg.f64 b)) (*.f64 a (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b (/.f64 b a)) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b (/.f64 b a)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b (/.f64 b a)) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b) (/.f64 b a)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 b a) (neg.f64 b)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (/.f64 b a) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 b a) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 b a)) 2)))))) |
| 1× | egg-herbie |
| 1172× | associate-/r/_binary64 |
| 601× | sqr-pow_binary64 |
| 570× | unswap-sqr_binary64 |
| 555× | times-frac_binary64 |
| 257× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 240 |
| 1 | 15 | 240 |
| 2 | 30 | 240 |
| 3 | 73 | 240 |
| 4 | 305 | 240 |
| 5 | 2543 | 240 |
| 6 | 3799 | 240 |
| 7 | 3983 | 240 |
| 8 | 4202 | 240 |
| 9 | 4446 | 240 |
| 10 | 4775 | 240 |
| 11 | 6703 | 240 |
| 12 | 7357 | 240 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
| Outputs |
|---|
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
Compiled 9673 to 5355 computations (44.6% saved)
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 540 | 1 | 541 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 1 | 3 |
| Total | 542 | 4 | 546 |
| Status | Error | Program |
|---|---|---|
| 2.0b | 1 | |
| ✓ | 1.0b | (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) |
| ✓ | 0.0b | (pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2) |
| ▶ | 15.8b | (sqrt.f64 (*.f64 (/.f64 (+.f64 a b) (*.f64 a a)) (-.f64 a b))) |
Compiled 42 to 27 computations (35.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (*.f64 (/.f64 (+.f64 a b) (*.f64 a a)) (-.f64 a b))) |
| ✓ | 0.2b | (*.f64 (/.f64 (+.f64 a b) (*.f64 a a)) (-.f64 a b)) |
| ✓ | 14.9b | (/.f64 (+.f64 a b) (*.f64 a a)) |
Compiled 43 to 8 computations (81.4% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | -inf | (sqrt.f64 (*.f64 (/.f64 (+.f64 a b) (*.f64 a a)) (-.f64 a b))) |
| 1.0ms | b | @ | inf | (sqrt.f64 (*.f64 (/.f64 (+.f64 a b) (*.f64 a a)) (-.f64 a b))) |
| 1.0ms | b | @ | 0 | (sqrt.f64 (*.f64 (/.f64 (+.f64 a b) (*.f64 a a)) (-.f64 a b))) |
| 1.0ms | a | @ | inf | (sqrt.f64 (*.f64 (/.f64 (+.f64 a b) (*.f64 a a)) (-.f64 a b))) |
| 1.0ms | a | @ | 0 | (sqrt.f64 (*.f64 (/.f64 (+.f64 a b) (*.f64 a a)) (-.f64 a b))) |
| 1× | batch-egg-rewrite |
| 666× | prod-diff_binary64 |
| 541× | log-prod_binary64 |
| 326× | fma-def_binary64 |
| 270× | pow2_binary64 |
| 203× | pow-unpow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 44 |
| 1 | 205 | 41 |
| 2 | 3146 | 41 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 a b) (*.f64 a a)) |
(*.f64 (/.f64 (+.f64 a b) (*.f64 a a)) (-.f64 a b)) |
(sqrt.f64 (*.f64 (/.f64 (+.f64 a b) (*.f64 a a)) (-.f64 a b))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 a b) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a b)) (pow.f64 a -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a b)) (pow.f64 a -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a b)) (pow.f64 a -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a b)) (pow.f64 a -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a b) (pow.f64 a -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a b) (pow.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 a b) (pow.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 a b) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 a b) (pow.f64 a -2))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 a b) 2) (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 a b) 2) (pow.f64 a 4))) (cbrt.f64 (*.f64 (+.f64 a b) (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) (*.f64 (cbrt.f64 (+.f64 a b)) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 a b)) a) (/.f64 (sqrt.f64 (+.f64 a b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a b)) (*.f64 (sqrt.f64 (+.f64 a b)) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 a b)) (/.f64 1 (*.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -2) (+.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a b) a) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 (+.f64 a b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) a) (/.f64 (cbrt.f64 (+.f64 a b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) 1) (/.f64 (cbrt.f64 (+.f64 a b)) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 a b)) 1) (/.f64 (sqrt.f64 (+.f64 a b)) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 a 4))) (/.f64 (+.f64 a b) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) (cbrt.f64 (pow.f64 a 4))) (cbrt.f64 (*.f64 (+.f64 a b) (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 a b)) (cbrt.f64 (pow.f64 a 4))) (/.f64 (sqrt.f64 (+.f64 a b)) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a b) (pow.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 a b) 2) (pow.f64 a 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 a b) (pow.f64 a -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 a b) (pow.f64 a -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 a b)) a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (/.f64 (+.f64 a b) a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 a b) 3) (pow.f64 (pow.f64 a 3) 2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a (/.f64 (+.f64 a b) a)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 a b) (*.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (+.f64 a b) 2) (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 a b)) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a b) (pow.f64 a -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 a b) (pow.f64 a -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 a b) 3) (pow.f64 (pow.f64 a 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 a b) (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 a b) (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 a b) (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a b) (pow.f64 a -2))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 a b) (*.f64 (pow.f64 a -2) (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 (+.f64 a b) (pow.f64 a -2))) (*.f64 (neg.f64 b) (*.f64 (+.f64 a b) (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 a b) (pow.f64 a -2)) a) (*.f64 (*.f64 (+.f64 a b) (pow.f64 a -2)) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 a b)) (pow.f64 a -2)) (-.f64 a b))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 a b)) (pow.f64 a -2)) (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 a b)) (pow.f64 a -2)) (-.f64 a b)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 a b)) (pow.f64 a -2)) (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a b) (*.f64 (pow.f64 a -2) (-.f64 a b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a b) (/.f64 (*.f64 a a) (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 a b) (/.f64 a (/.f64 (+.f64 a b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 (/.f64 a (/.f64 (+.f64 a b) a)) (fma.f64 a a (*.f64 b (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 (/.f64 a (/.f64 (+.f64 a b) a)) (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (*.f64 a (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a b) (-.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b (+.f64 a b)))))))) (#(struct:change #<rule 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b)) (*.f64 (+.f64 a b) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 a 3) (pow.f64 b 3)) 1) (*.f64 (fma.f64 a a (*.f64 b (+.f64 a b))) (/.f64 a (/.f64 (+.f64 a b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1) (*.f64 (+.f64 a b) (/.f64 a (/.f64 (+.f64 a b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 a 3) (pow.f64 b 3)) (neg.f64 (+.f64 a b))) (*.f64 (fma.f64 a a (*.f64 b (+.f64 a b))) (*.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (neg.f64 (+.f64 a b))) (*.f64 (+.f64 a b) (*.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 a 3) (pow.f64 b 3)) (/.f64 (+.f64 a b) a)) (*.f64 (fma.f64 a a (*.f64 b (+.f64 a b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (/.f64 (+.f64 a b) a)) (*.f64 (+.f64 a b) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) a) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (cbrt.f64 (pow.f64 a 4))) (pow.f64 (cbrt.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 a b)) (-.f64 a b)) (*.f64 a (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 a b) a) (-.f64 a b)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 (+.f64 a b) (pow.f64 a -2))) (fma.f64 a a (*.f64 b (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 (+.f64 a b) (pow.f64 a -2))) (+.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 a b) (pow.f64 a -2)) (-.f64 (pow.f64 a 3) (pow.f64 b 3))) (fma.f64 a a (*.f64 b (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 a b) (pow.f64 a -2)) (-.f64 (*.f64 a a) (*.f64 b b))) (+.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 a b) (neg.f64 (+.f64 a b))) (*.f64 a (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 a b) a)) a)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a b) (*.f64 (pow.f64 a -2) (-.f64 a b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 2) (pow.f64 a 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 a b) (*.f64 (pow.f64 a -2) (-.f64 a b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 a b) (*.f64 (pow.f64 a -2) (-.f64 a b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (+.f64 a b) (pow.f64 a -2)) 3) (pow.f64 (-.f64 a b) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 a b) 3) (pow.f64 (*.f64 (+.f64 a b) (pow.f64 a -2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 b b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 2) (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 a b)) (pow.f64 a -2)) (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a b) (*.f64 (pow.f64 a -2) (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 a b) (*.f64 (pow.f64 a -2) (-.f64 a b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 a b) (pow.f64 a -2)) 3) (pow.f64 (-.f64 a b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 a b) 3) (pow.f64 (*.f64 (+.f64 a b) (pow.f64 a -2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 a b) (*.f64 (pow.f64 a -2) (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 a b) (*.f64 (pow.f64 a -2) (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 a b) (*.f64 (pow.f64 a -2) (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a b) (*.f64 (pow.f64 a -2) (-.f64 a b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (*.f64 (+.f64 a b) (pow.f64 a -2)) (*.f64 (neg.f64 b) (*.f64 (+.f64 a b) (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a b) (pow.f64 a -2)) a (*.f64 (*.f64 (+.f64 a b) (pow.f64 a -2)) (neg.f64 b))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 a b) (*.f64 (pow.f64 a -2) (-.f64 a b)))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)) (cbrt.f64 (*.f64 (+.f64 a b) (*.f64 (pow.f64 a -2) (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 a b)) a) (sqrt.f64 (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 a b)) (/.f64 (sqrt.f64 (+.f64 a b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a b) (*.f64 (pow.f64 a -2) (-.f64 a b)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 a b) (*.f64 (pow.f64 a -2) (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a b) (*.f64 (pow.f64 a -2) (-.f64 a b))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a b) (*.f64 (pow.f64 a -2) (-.f64 a b)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)) 1)))))) |
| 1× | egg-herbie |
| 790× | fma-def_binary64 |
| 710× | associate-/l*_binary64 |
| 530× | associate-/r*_binary64 |
| 475× | associate-*l*_binary64 |
| 447× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 138 | 1468 |
| 1 | 446 | 1233 |
| 2 | 2243 | 795 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 b (pow.f64 a 2)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(/.f64 1 a) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(/.f64 1 a) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(/.f64 1 a) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(/.f64 b (pow.f64 a 2)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(/.f64 b (pow.f64 a 2)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 (/.f64 b a) (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a)))) |
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a))))) |
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a))))) |
1 |
(+.f64 (/.f64 b a) (+.f64 1 (*.f64 -1 (/.f64 b a)))) |
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a))))) |
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a))))) |
1 |
(+.f64 (/.f64 b a) (+.f64 1 (*.f64 -1 (/.f64 b a)))) |
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a))))) |
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(/.f64 (*.f64 (sqrt.f64 -1) b) a) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a)) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (*.f64 1/2 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) 2)) a) (*.f64 (sqrt.f64 -1) b))))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) 2)) (*.f64 (+.f64 b (*.f64 -1 b)) (pow.f64 a 2))) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) 2)) a) (*.f64 (sqrt.f64 -1) b)))))) |
1 |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) a)) 1) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) a)) (+.f64 1 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) 2)) (pow.f64 a 2))))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) a)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) 2))) (pow.f64 a 3))) (+.f64 1 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) 2)) (pow.f64 a 2)))))) |
(pow.f64 (sqrt.f64 -1) 2) |
(+.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 -1/2 (/.f64 (+.f64 b (*.f64 -1 b)) a))) |
(+.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 b (*.f64 -1 b)) a)) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (sqrt.f64 -1))) 2)) (pow.f64 a 2))))) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (-.f64 (pow.f64 b 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (sqrt.f64 -1))) 2))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 3)))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 b (*.f64 -1 b)) a)) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (sqrt.f64 -1))) 2)) (pow.f64 a 2)))))) |
1 |
(+.f64 1 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) b) (pow.f64 a 2)))) |
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) b) (pow.f64 a 2))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) a)) 2) 1) (pow.f64 b 2)) (pow.f64 a 2))))) |
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) b) (pow.f64 a 2))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) a)) 2)) (*.f64 (+.f64 a (*.f64 -1 a)) (pow.f64 b 3))) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) a)) 2) 1) (pow.f64 b 2)) (pow.f64 a 2)))))) |
(/.f64 (*.f64 (sqrt.f64 -1) b) a) |
(+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (*.f64 (sqrt.f64 -1) a)))) |
(+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) (*.f64 a b)))) (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (*.f64 (sqrt.f64 -1) a))))) |
(+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2))) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (*.f64 a (pow.f64 b 2))))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) (*.f64 a b)))) (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (*.f64 (sqrt.f64 -1) a)))))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (*.f64 (sqrt.f64 -1) a)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (*.f64 (sqrt.f64 -1) a))) (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) (*.f64 a b)))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2))) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (*.f64 a (pow.f64 b 2))))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (*.f64 (sqrt.f64 -1) a))) (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) (*.f64 a b))))))) |
| Outputs |
|---|
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (*.f64 a a)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (*.f64 a a)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (*.f64 a a)) (/.f64 1 a)) |
(/.f64 1 a) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (*.f64 a a)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (*.f64 a a)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (*.f64 a a)) (/.f64 1 a)) |
(/.f64 1 a) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (*.f64 a a)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (*.f64 a a)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (*.f64 a a)) (/.f64 1 a)) |
(/.f64 1 a) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (*.f64 a a)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (*.f64 a a)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (*.f64 a a)) (/.f64 1 a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (*.f64 a a)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (*.f64 a a)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (*.f64 a a)) (/.f64 1 a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (*.f64 a a)) (/.f64 1 a)) |
(+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 a)) |
(+.f64 (/.f64 b (*.f64 a a)) (/.f64 1 a)) |
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(+.f64 (/.f64 (/.f64 0 (sqrt.f64 -1)) b) (fma.f64 1/2 (*.f64 (/.f64 a (sqrt.f64 -1)) (/.f64 (-.f64 1 (pow.f64 (/.f64 (/.f64 0 (sqrt.f64 -1)) b) 2)) b)) (*.f64 (/.f64 (sqrt.f64 -1) a) b))) |
(fma.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 a b) (*.f64 (/.f64 b a) (sqrt.f64 -1))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) |
(neg.f64 (/.f64 (sqrt.f64 -1) (/.f64 a b))) |
(neg.f64 (*.f64 (/.f64 (sqrt.f64 -1) a) b)) |
(*.f64 (/.f64 (sqrt.f64 -1) a) (neg.f64 b)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (*.f64 (sqrt.f64 -1) a)))) |
(neg.f64 (/.f64 (sqrt.f64 -1) (/.f64 a b))) |
(neg.f64 (*.f64 (/.f64 (sqrt.f64 -1) a) b)) |
(*.f64 (/.f64 (sqrt.f64 -1) a) (neg.f64 b)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (*.f64 (sqrt.f64 -1) a))) (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) (*.f64 a b)))))) |
(fma.f64 -1 (/.f64 (sqrt.f64 -1) (/.f64 a b)) (fma.f64 1/2 (/.f64 (*.f64 0 a) (*.f64 a (sqrt.f64 -1))) (/.f64 (*.f64 -1/2 (-.f64 (*.f64 a a) (pow.f64 (*.f64 1/2 (/.f64 (*.f64 0 a) (sqrt.f64 -1))) 2))) (*.f64 (sqrt.f64 -1) (*.f64 b a))))) |
(-.f64 (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 a a) (pow.f64 (/.f64 0 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (*.f64 b a))) (/.f64 (/.f64 0 (sqrt.f64 -1)) a)) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) |
(-.f64 (*.f64 -1/2 (/.f64 a (*.f64 b (sqrt.f64 -1)))) (*.f64 (/.f64 b a) (sqrt.f64 -1))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2))) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (*.f64 a (pow.f64 b 2))))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (*.f64 (sqrt.f64 -1) a))) (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) (*.f64 a b))))))) |
(fma.f64 -1 (/.f64 (sqrt.f64 -1) (/.f64 a b)) (fma.f64 1/2 (/.f64 (*.f64 0 a) (*.f64 a (sqrt.f64 -1))) (/.f64 (*.f64 -1/2 (-.f64 (*.f64 a a) (pow.f64 (*.f64 1/2 (/.f64 (*.f64 0 a) (sqrt.f64 -1))) 2))) (*.f64 (sqrt.f64 -1) (*.f64 b a))))) |
(-.f64 (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 a a) (pow.f64 (/.f64 0 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (*.f64 b a))) (/.f64 (/.f64 0 (sqrt.f64 -1)) a)) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) |
(-.f64 (*.f64 -1/2 (/.f64 a (*.f64 b (sqrt.f64 -1)))) (*.f64 (/.f64 b a) (sqrt.f64 -1))) |
Compiled 3226 to 1593 computations (50.6% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 166 | 2 | 168 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 1 | 2 |
| Total | 168 | 4 | 172 |
| Status | Error | Program |
|---|---|---|
| 2.0b | 1 | |
| 0.0b | (sqrt.f64 (-.f64 1 (/.f64 b (*.f64 (/.f64 a b) a)))) | |
| ✓ | 1.0b | (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) |
| 15.1b | (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a) |
Compiled 39 to 25 computations (35.9% saved)
| Inputs |
|---|
1 |
(sqrt.f64 (-.f64 1 (/.f64 b (*.f64 (/.f64 a b) a)))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) |
(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2) |
(sqrt.f64 (*.f64 (/.f64 (+.f64 a b) (*.f64 a a)) (-.f64 a b))) |
(pow.f64 (*.f64 (/.f64 (/.f64 (+.f64 a b) a) a) (-.f64 a b)) 1/2) |
(sqrt.f64 (fabs.f64 1)) |
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2) |
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 (/.f64 b a) (/.f64 a b)))) 1/2)) |
(/.f64 1 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b))) (/.f64 1 a)))) |
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1/2)) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 (/.f64 b a) (/.f64 a b)))) 1/2)) |
12 calls:
| 49.0ms | b |
| 23.0ms | (*.f64 a a) |
| 9.0ms | a |
| 6.0ms | (*.f64 a a) |
| 4.0ms | (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) |
| Error | Segments | Branch |
|---|---|---|
| 0b | 1 | a |
| 0b | 1 | b |
| 0b | 1 | (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
| 0b | 1 | (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
| 0b | 1 | (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) |
| 0b | 1 | (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) |
| 0b | 1 | (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) |
| 0b | 1 | (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) |
| 0b | 1 | (*.f64 a a) |
| 0b | 1 | (*.f64 a a) |
| 0b | 1 | (*.f64 b b) |
| 0b | 1 | (*.f64 b b) |
Compiled 263 to 137 computations (47.9% saved)
Total -17.0b remaining (-86888.2%)
Threshold costs -17.0b (-86888.2%)
| Inputs |
|---|
1 |
(sqrt.f64 (-.f64 1 (/.f64 b (*.f64 (/.f64 a b) a)))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) |
(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2) |
(sqrt.f64 (*.f64 (/.f64 (+.f64 a b) (*.f64 a a)) (-.f64 a b))) |
(pow.f64 (*.f64 (/.f64 (/.f64 (+.f64 a b) a) a) (-.f64 a b)) 1/2) |
(sqrt.f64 (fabs.f64 1)) |
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2) |
| Outputs |
|---|
(sqrt.f64 (-.f64 1 (/.f64 b (*.f64 (/.f64 a b) a)))) |
4 calls:
| 7.0ms | a |
| 6.0ms | b |
| 3.0ms | (*.f64 b b) |
| 2.0ms | (*.f64 b b) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | a |
| 0.0b | 1 | b |
| 0.0b | 1 | (*.f64 b b) |
| 0.0b | 1 | (*.f64 b b) |
Compiled 97 to 53 computations (45.4% saved)
| 1× | egg-herbie |
| 6× | *-commutative_binary64 |
| 5× | +-commutative_binary64 |
| 5× | sub-neg_binary64 |
| 4× | neg-sub0_binary64 |
| 4× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 35 |
| 1 | 27 | 35 |
| 2 | 37 | 35 |
| 3 | 44 | 35 |
| 4 | 48 | 35 |
| 5 | 49 | 35 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 (/.f64 b a) (/.f64 a b)))) 1/2)) |
(sqrt.f64 (-.f64 1 (/.f64 b (*.f64 (/.f64 a b) a)))) |
1 |
| Outputs |
|---|
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 (/.f64 b a) (/.f64 a b)))) 1/2)) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 (/.f64 b a)) (/.f64 a b))) 1/2)) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 (/.f64 (neg.f64 b) a) (/.f64 a b))) 1/2)) |
(sqrt.f64 (-.f64 1 (/.f64 b (*.f64 (/.f64 a b) a)))) |
(sqrt.f64 (-.f64 1 (/.f64 b (*.f64 a (/.f64 a b))))) |
1 |
Compiled 29 to 21 computations (27.6% saved)
Compiled 25 to 16 computations (36% saved)
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