Time bar (total: 6.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 37.5% | 62.5% | 0% | 0% | 0% | 0 |
| 0% | 0% | 37.5% | 62.5% | 0% | 0% | 0% | 1 |
| 0% | 0% | 18.7% | 81.3% | 0% | 0% | 0% | 2 |
| 0% | 0% | 9.4% | 90.6% | 0% | 0% | 0% | 3 |
| 0% | 0% | 9.4% | 90.6% | 0% | 0% | 0% | 4 |
| 0% | 0% | 7% | 93% | 0% | 0% | 0% | 5 |
| 20% | 1.2% | 4.7% | 94.1% | 0% | 0% | 0% | 6 |
| 25% | 1.2% | 3.5% | 95.3% | 0% | 0% | 0% | 7 |
| 40% | 1.8% | 2.6% | 95.6% | 0% | 0% | 0% | 8 |
| 51.9% | 2% | 1.9% | 96% | 0% | 0% | 0% | 9 |
| 64.7% | 2.4% | 1.3% | 96.3% | 0% | 0% | 0% | 10 |
| 72.9% | 2.6% | 1% | 96.5% | 0% | 0% | 0% | 11 |
| 80.2% | 2.7% | 0.7% | 96.6% | 0% | 0% | 0% | 12 |
Compiled 26 to 15 computations (42.3% saved)
| 1.4s | 8256× | body | 256 | valid |
| 156.0ms | 801× | body | 256 | precondition |
| 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 |
|---|---|---|
| ▶ | 13.0b | (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
| ▶ | 13.0b | (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 | (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
| ✓ | 0.0b | (-.f64 (*.f64 a a) (*.f64 b b)) |
| ✓ | 12.6b | (/.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 | |
|---|---|---|---|---|
| 1.0ms | 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)) |
| 0.0ms | b | @ | inf | (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)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
| 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 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a a) (*.f64 b (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a a) (*.f64 (*.f64 b (neg.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a a) (fma.f64 b (neg.f64 b) (fma.f64 b (neg.f64 b) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 b (neg.f64 b) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (*.f64 b (neg.f64 b)) 1 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (pow.f64 b 4)) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (+.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) (fma.f64 b (neg.f64 b) (*.f64 b b))))))) 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| 1× | egg-herbie |
| 808× | fma-neg_binary64 |
| 730× | associate-/r*_binary64 |
| 695× | 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 | 1359 | 843 |
| 5 | 7378 | 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)))) |
(*.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)) |
(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)))) |
| 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 (/.f64 (neg.f64 b) (*.f64 a a)) b) |
(*.f64 b (/.f64 (/.f64 (neg.f64 b) 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))) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(fma.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b 1) |
(fma.f64 b (/.f64 (/.f64 (neg.f64 b) 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))) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(fma.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b 1) |
(fma.f64 b (/.f64 (/.f64 (neg.f64 b) 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))) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(fma.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b 1) |
(fma.f64 b (/.f64 (/.f64 (neg.f64 b) a) a) 1) |
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))) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(fma.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b 1) |
(fma.f64 b (/.f64 (/.f64 (neg.f64 b) 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))) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(fma.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b 1) |
(fma.f64 b (/.f64 (/.f64 (neg.f64 b) 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))) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(fma.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b 1) |
(fma.f64 b (/.f64 (/.f64 (neg.f64 b) a) a) 1) |
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))) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(fma.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b 1) |
(fma.f64 b (/.f64 (/.f64 (neg.f64 b) 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))) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(fma.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b 1) |
(fma.f64 b (/.f64 (/.f64 (neg.f64 b) 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))) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(fma.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b 1) |
(fma.f64 b (/.f64 (/.f64 (neg.f64 b) a) a) 1) |
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))) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(fma.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b 1) |
(fma.f64 b (/.f64 (/.f64 (neg.f64 b) 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))) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(fma.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b 1) |
(fma.f64 b (/.f64 (/.f64 (neg.f64 b) 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))) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(fma.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b 1) |
(fma.f64 b (/.f64 (/.f64 (neg.f64 b) a) a) 1) |
(*.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 (/.f64 (neg.f64 b) (*.f64 a a)) b) |
(*.f64 b (/.f64 (/.f64 (neg.f64 b) 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))) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(fma.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b 1) |
(fma.f64 b (/.f64 (/.f64 (neg.f64 b) 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))) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(fma.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b 1) |
(fma.f64 b (/.f64 (/.f64 (neg.f64 b) 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))) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(fma.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b 1) |
(fma.f64 b (/.f64 (/.f64 (neg.f64 b) a) a) 1) |
(*.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 (/.f64 (neg.f64 b) (*.f64 a a)) b) |
(*.f64 b (/.f64 (/.f64 (neg.f64 b) 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))) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(fma.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b 1) |
(fma.f64 b (/.f64 (/.f64 (neg.f64 b) 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))) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(fma.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b 1) |
(fma.f64 b (/.f64 (/.f64 (neg.f64 b) 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))) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(fma.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b 1) |
(fma.f64 b (/.f64 (/.f64 (neg.f64 b) 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)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(-.f64 (*.f64 a a) (*.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)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(-.f64 (*.f64 a a) (*.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)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(-.f64 (*.f64 a a) (*.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)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(-.f64 (*.f64 a a) (*.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)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(-.f64 (*.f64 a a) (*.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)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(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))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 b (/.f64 b (*.f64 a a)) -1) |
| ✓ | 0.0b | (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
| ✓ | 13.0b | (/.f64 b (*.f64 a a)) |
Compiled 40 to 14 computations (65% saved)
18 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 | (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
| 1.0ms | b | @ | -inf | (/.f64 b (*.f64 a a)) |
| 1.0ms | b | @ | -inf | (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 | 33 |
| 1 | 183 | 31 |
| 2 | 2348 | 31 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 b (*.f64 a a)) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(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)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 b (*.f64 b (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b (*.f64 b (pow.f64 a -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 b (*.f64 b (pow.f64 a -2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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)) (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (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)) (pow.f64 (cbrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1))) (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)) 2) (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) (*.f64 (pow.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1) 1/4) (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)) (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 (fabs.f64 (pow.f64 (cbrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)) 2)) (fabs.f64 (cbrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.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))) (cbrt.f64 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b (pow.f64 a -2))) 3) -1) (+.f64 (*.f64 (*.f64 b (*.f64 b (pow.f64 a -2))) (*.f64 b (*.f64 b (pow.f64 a -2)))) (-.f64 1 (*.f64 (*.f64 b (*.f64 b (pow.f64 a -2))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b (pow.f64 a -2))) (*.f64 b (*.f64 b (pow.f64 a -2)))) 1) (-.f64 (*.f64 b (*.f64 b (pow.f64 a -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (neg.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.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))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1))))))) |
| 1× | egg-herbie |
| 709× | distribute-rgt-neg-in_binary64 |
| 688× | fma-def_binary64 |
| 675× | distribute-lft-neg-in_binary64 |
| 616× | times-frac_binary64 |
| 554× | distribute-neg-frac_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 795 |
| 1 | 27 | 759 |
| 2 | 43 | 759 |
| 3 | 100 | 759 |
| 4 | 410 | 759 |
| 5 | 3319 | 759 |
| 6 | 5494 | 759 |
| 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))) |
-1 |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
-1 |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
-1 |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(-.f64 (/.f64 (pow.f64 b 2) (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 (/.f64 b a) (/.f64 b 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 (/.f64 b a) (/.f64 b 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 (/.f64 b a) (/.f64 b 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 (/.f64 b a) (/.f64 b 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 (/.f64 b a) (/.f64 b 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 (/.f64 b a) (/.f64 b 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 (/.f64 b a) (/.f64 b 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 (/.f64 b a) (/.f64 b 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 (/.f64 b a) (/.f64 b 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 (/.f64 b a) (/.f64 b 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 (/.f64 b a) (/.f64 b 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 (/.f64 b a) (/.f64 b 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 (/.f64 b a) (/.f64 b 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 (/.f64 b a) (/.f64 b 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 (/.f64 b a) (/.f64 b 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 (/.f64 b a) (/.f64 b 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 (/.f64 b a) (/.f64 b 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 (/.f64 b a) (/.f64 b 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 (/.f64 b a) (/.f64 b 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 (/.f64 b a) (/.f64 b 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 (/.f64 b a) (/.f64 b 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 (/.f64 b a) (/.f64 b 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 (/.f64 b a) (/.f64 b 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 (/.f64 b a) (/.f64 b a) -1))) |
-1 |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1) |
(fma.f64 b (/.f64 b (*.f64 a a)) -1) |
(fma.f64 (/.f64 b a) (/.f64 b a) -1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1) |
(fma.f64 b (/.f64 b (*.f64 a a)) -1) |
(fma.f64 (/.f64 b a) (/.f64 b a) -1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1) |
(fma.f64 b (/.f64 b (*.f64 a a)) -1) |
(fma.f64 (/.f64 b a) (/.f64 b a) -1) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1) |
(fma.f64 b (/.f64 b (*.f64 a a)) -1) |
(fma.f64 (/.f64 b a) (/.f64 b a) -1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1) |
(fma.f64 b (/.f64 b (*.f64 a a)) -1) |
(fma.f64 (/.f64 b a) (/.f64 b a) -1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1) |
(fma.f64 b (/.f64 b (*.f64 a a)) -1) |
(fma.f64 (/.f64 b a) (/.f64 b a) -1) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1) |
(fma.f64 b (/.f64 b (*.f64 a a)) -1) |
(fma.f64 (/.f64 b a) (/.f64 b a) -1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1) |
(fma.f64 b (/.f64 b (*.f64 a a)) -1) |
(fma.f64 (/.f64 b a) (/.f64 b a) -1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1) |
(fma.f64 b (/.f64 b (*.f64 a a)) -1) |
(fma.f64 (/.f64 b a) (/.f64 b a) -1) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1) |
(fma.f64 b (/.f64 b (*.f64 a a)) -1) |
(fma.f64 (/.f64 b a) (/.f64 b a) -1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1) |
(fma.f64 b (/.f64 b (*.f64 a a)) -1) |
(fma.f64 (/.f64 b a) (/.f64 b a) -1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1) |
(fma.f64 b (/.f64 b (*.f64 a a)) -1) |
(fma.f64 (/.f64 b a) (/.f64 b a) -1) |
-1 |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1) |
(fma.f64 b (/.f64 b (*.f64 a a)) -1) |
(fma.f64 (/.f64 b a) (/.f64 b a) -1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1) |
(fma.f64 b (/.f64 b (*.f64 a a)) -1) |
(fma.f64 (/.f64 b a) (/.f64 b a) -1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1) |
(fma.f64 b (/.f64 b (*.f64 a a)) -1) |
(fma.f64 (/.f64 b a) (/.f64 b a) -1) |
-1 |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1) |
(fma.f64 b (/.f64 b (*.f64 a a)) -1) |
(fma.f64 (/.f64 b a) (/.f64 b a) -1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1) |
(fma.f64 b (/.f64 b (*.f64 a a)) -1) |
(fma.f64 (/.f64 b a) (/.f64 b a) -1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1) |
(fma.f64 b (/.f64 b (*.f64 a a)) -1) |
(fma.f64 (/.f64 b a) (/.f64 b a) -1) |
Compiled 8669 to 3792 computations (56.3% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 404 | 4 | 408 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 406 | 4 | 410 |
| Status | Error | Program |
|---|---|---|
| ▶ | 1.7b | (sqrt.f64 (fabs.f64 1)) |
| ▶ | 14.9b | (sqrt.f64 (fabs.f64 (*.f64 (*.f64 (+.f64 a b) (neg.f64 (-.f64 a b))) (/.f64 1 (*.f64 a (neg.f64 a)))))) |
| ▶ | 0.0b | (sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 a b) a) (/.f64 (-.f64 a b) a)))) |
| ▶ | 0.0b | (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2) |
Compiled 50 to 36 computations (28% saved)
Compiled 8 to 8 computations (0% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (+.f64 a b) (neg.f64 (-.f64 a b))) |
| ✓ | 0.0b | (sqrt.f64 (fabs.f64 (*.f64 (*.f64 (+.f64 a b) (neg.f64 (-.f64 a b))) (/.f64 1 (*.f64 a (neg.f64 a)))))) |
| ✓ | 0.2b | (/.f64 1 (*.f64 a (neg.f64 a))) |
| ✓ | 14.5b | (*.f64 (*.f64 (+.f64 a b) (neg.f64 (-.f64 a b))) (/.f64 1 (*.f64 a (neg.f64 a)))) |
Compiled 83 to 23 computations (72.3% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | a | @ | inf | (*.f64 (*.f64 (+.f64 a b) (neg.f64 (-.f64 a b))) (/.f64 1 (*.f64 a (neg.f64 a)))) |
| 1.0ms | b | @ | 0 | (*.f64 (*.f64 (+.f64 a b) (neg.f64 (-.f64 a b))) (/.f64 1 (*.f64 a (neg.f64 a)))) |
| 1.0ms | b | @ | inf | (*.f64 (*.f64 (+.f64 a b) (neg.f64 (-.f64 a b))) (/.f64 1 (*.f64 a (neg.f64 a)))) |
| 1.0ms | a | @ | 0 | (*.f64 (*.f64 (+.f64 a b) (neg.f64 (-.f64 a b))) (/.f64 1 (*.f64 a (neg.f64 a)))) |
| 1.0ms | a | @ | inf | (sqrt.f64 (fabs.f64 (*.f64 (*.f64 (+.f64 a b) (neg.f64 (-.f64 a b))) (/.f64 1 (*.f64 a (neg.f64 a)))))) |
| 1× | batch-egg-rewrite |
| 835× | prod-diff_binary64 |
| 520× | log-prod_binary64 |
| 380× | fma-def_binary64 |
| 182× | fma-neg_binary64 |
| 173× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 65 |
| 1 | 309 | 31 |
| 2 | 4849 | 31 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (+.f64 a b) (neg.f64 (-.f64 a b))) (/.f64 1 (*.f64 a (neg.f64 a)))) |
(/.f64 1 (*.f64 a (neg.f64 a))) |
(sqrt.f64 (fabs.f64 (*.f64 (*.f64 (+.f64 a b) (neg.f64 (-.f64 a b))) (/.f64 1 (*.f64 a (neg.f64 a)))))) |
(*.f64 (+.f64 a b) (neg.f64 (-.f64 a b))) |
| Outputs |
|---|
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(2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) a) (*.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a b)) (*.f64 (sqrt.f64 (+.f64 a b)) (+.f64 a b)) (fma.f64 (neg.f64 b) b (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (pow.f64 (+.f64 a b) 2) (fma.f64 (neg.f64 b) b (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 a a) (neg.f64 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 a a) (*.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a) (neg.f64 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a) (*.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a b) (sqrt.f64 (+.f64 a b))) (sqrt.f64 (+.f64 a b)) (fma.f64 (neg.f64 b) b (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 b (+.f64 a b))) (cbrt.f64 (*.f64 b (+.f64 a b)))) (cbrt.f64 (*.f64 b (+.f64 a b))) (*.f64 a (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 b (+.f64 a b))) (sqrt.f64 (*.f64 b (+.f64 a b))) (*.f64 a (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fabs.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) 2)) (fabs.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2)) (fma.f64 (neg.f64 b) b (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (pow.f64 (cbrt.f64 a) 2) 2)) (pow.f64 (cbrt.f64 a) 2) (neg.f64 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (pow.f64 (cbrt.f64 a) 2) 2)) (pow.f64 (cbrt.f64 a) 2) (*.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (neg.f64 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a b) (pow.f64 (cbrt.f64 (+.f64 a b)) 2)) (cbrt.f64 (+.f64 a b)) (fma.f64 (neg.f64 b) b (*.f64 b b))))))) |
| 1× | egg-herbie |
| 545× | fma-neg_binary64 |
| 345× | div-sub_binary64 |
| 318× | cancel-sign-sub-inv_binary64 |
| 272× | associate-/l/_binary64 |
| 241× | associate-*l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 1008 |
| 1 | 198 | 1008 |
| 2 | 681 | 1008 |
| 3 | 2213 | 1008 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 b (*.f64 -1 b)) a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 b (*.f64 -1 b)) a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 b (*.f64 -1 b)) a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 b (*.f64 -1 b)) a))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 b (*.f64 -1 b)) a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 b (*.f64 -1 b)) a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
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 (pow.f64 a 2)) |
(/.f64 -1 (pow.f64 a 2)) |
(/.f64 -1 (pow.f64 a 2)) |
(/.f64 -1 (pow.f64 a 2)) |
(/.f64 -1 (pow.f64 a 2)) |
(/.f64 -1 (pow.f64 a 2)) |
(/.f64 -1 (pow.f64 a 2)) |
(/.f64 -1 (pow.f64 a 2)) |
(/.f64 -1 (pow.f64 a 2)) |
(/.f64 -1 (pow.f64 a 2)) |
(/.f64 -1 (pow.f64 a 2)) |
(/.f64 -1 (pow.f64 a 2)) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (pow.f64 a 2))))) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (pow.f64 a 2))))) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (pow.f64 a 2))))) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (pow.f64 a 2))))) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (pow.f64 a 2))))) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (pow.f64 a 2))))) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (pow.f64 a 2))))) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b a) (+.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 -1 (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (pow.f64 a 2))))) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (pow.f64 a 2))))) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (pow.f64 a 2))))) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (pow.f64 a 2))))) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (pow.f64 a 2))))) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (pow.f64 a 2))))) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (pow.f64 a 2))))) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b a) (+.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)))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 (+.f64 b (*.f64 -1 b)) a)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (+.f64 (pow.f64 b 2) (*.f64 (+.f64 b (*.f64 -1 b)) a))) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (+.f64 (pow.f64 b 2) (*.f64 (+.f64 b (*.f64 -1 b)) a))) |
(*.f64 -1 (pow.f64 a 2)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (*.f64 (+.f64 b (*.f64 -1 b)) a)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (+.f64 (pow.f64 b 2) (*.f64 (+.f64 b (*.f64 -1 b)) a))) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (+.f64 (pow.f64 b 2) (*.f64 (+.f64 b (*.f64 -1 b)) a))) |
(*.f64 -1 (pow.f64 a 2)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (*.f64 -1 (*.f64 (+.f64 b (*.f64 -1 b)) a))) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 b (*.f64 -1 b)) a)) (pow.f64 b 2))) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 b (*.f64 -1 b)) a)) (pow.f64 b 2))) |
(*.f64 -1 (pow.f64 a 2)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (*.f64 (+.f64 a (*.f64 -1 a)) b)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (+.f64 (pow.f64 b 2) (*.f64 (+.f64 a (*.f64 -1 a)) b))) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (+.f64 (pow.f64 b 2) (*.f64 (+.f64 a (*.f64 -1 a)) b))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 (+.f64 a (*.f64 -1 a)) b)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (+.f64 (pow.f64 b 2) (*.f64 (+.f64 a (*.f64 -1 a)) b))) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (+.f64 (pow.f64 b 2) (*.f64 (+.f64 a (*.f64 -1 a)) b))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 (+.f64 a (*.f64 -1 a)) b)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (+.f64 (pow.f64 b 2) (*.f64 (+.f64 a (*.f64 -1 a)) b))) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (+.f64 (pow.f64 b 2) (*.f64 (+.f64 a (*.f64 -1 a)) b))) |
| 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 -1 (/.f64 (+.f64 b (*.f64 -1 b)) 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 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 b (*.f64 -1 b)) 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 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 b (*.f64 -1 b)) 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)) |
1 |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 b (*.f64 -1 b)) a))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 b (*.f64 -1 b)) 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 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 b (*.f64 -1 b)) 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)) |
1 |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(+.f64 (/.f64 b a) (+.f64 1 (*.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 1 (+.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 1 (+.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)) |
1 |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(+.f64 1 (*.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 1 (*.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 1 (*.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 -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 1 (*.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 1 (*.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 1 (*.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 -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 1 (*.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 1 (*.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 1 (*.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 -1 (pow.f64 a 2)) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(/.f64 -1 (pow.f64 a 2)) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(/.f64 -1 (pow.f64 a 2)) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(/.f64 -1 (pow.f64 a 2)) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(/.f64 -1 (pow.f64 a 2)) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(/.f64 -1 (pow.f64 a 2)) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(/.f64 -1 (pow.f64 a 2)) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(/.f64 -1 (pow.f64 a 2)) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(/.f64 -1 (pow.f64 a 2)) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(/.f64 -1 (pow.f64 a 2)) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(/.f64 -1 (pow.f64 a 2)) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(/.f64 -1 (pow.f64 a 2)) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (pow.f64 a 2))))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (pow.f64 a 2))))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (pow.f64 a 2))))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (pow.f64 a 2))))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (pow.f64 a 2))))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (pow.f64 a 2))))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (pow.f64 a 2))))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (pow.f64 a 2))))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) 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))))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) 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))))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) 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))))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) 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))))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (pow.f64 a 2))))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (pow.f64 a 2))))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (pow.f64 a 2))))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (pow.f64 a 2))))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (pow.f64 a 2))))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (pow.f64 a 2))))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (pow.f64 a 2))))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (pow.f64 a 2))))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a (*.f64 -1 b)) (+.f64 a (*.f64 -1 b))) (pow.f64 a 2)))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a (*.f64 -1 b)) (+.f64 a (*.f64 -1 b))) (pow.f64 a 2)))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a (*.f64 -1 b)) (+.f64 a (*.f64 -1 b))) (pow.f64 a 2)))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a (*.f64 -1 b)) (+.f64 a (*.f64 -1 b))) (pow.f64 a 2)))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(pow.f64 b 2) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(+.f64 (pow.f64 b 2) (*.f64 (+.f64 b (*.f64 -1 b)) a)) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (+.f64 (pow.f64 b 2) (*.f64 (+.f64 b (*.f64 -1 b)) a))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (+.f64 (pow.f64 b 2) (*.f64 (+.f64 b (*.f64 -1 b)) a))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(*.f64 -1 (pow.f64 a 2)) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (*.f64 (+.f64 b (*.f64 -1 b)) a)) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (+.f64 (pow.f64 b 2) (*.f64 (+.f64 b (*.f64 -1 b)) a))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (+.f64 (pow.f64 b 2) (*.f64 (+.f64 b (*.f64 -1 b)) a))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(*.f64 -1 (pow.f64 a 2)) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (*.f64 -1 (*.f64 (+.f64 b (*.f64 -1 b)) a))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 b (*.f64 -1 b)) a)) (pow.f64 b 2))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 b (*.f64 -1 b)) a)) (pow.f64 b 2))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(*.f64 -1 (pow.f64 a 2)) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (*.f64 (+.f64 a (*.f64 -1 a)) b)) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (+.f64 (pow.f64 b 2) (*.f64 (+.f64 a (*.f64 -1 a)) b))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (+.f64 (pow.f64 b 2) (*.f64 (+.f64 a (*.f64 -1 a)) b))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(pow.f64 b 2) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(+.f64 (pow.f64 b 2) (*.f64 (+.f64 a (*.f64 -1 a)) b)) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (+.f64 (pow.f64 b 2) (*.f64 (+.f64 a (*.f64 -1 a)) b))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (+.f64 (pow.f64 b 2) (*.f64 (+.f64 a (*.f64 -1 a)) b))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(pow.f64 b 2) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(+.f64 (pow.f64 b 2) (*.f64 (+.f64 a (*.f64 -1 a)) b)) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (+.f64 (pow.f64 b 2) (*.f64 (+.f64 a (*.f64 -1 a)) b))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (+.f64 (pow.f64 b 2) (*.f64 (+.f64 a (*.f64 -1 a)) b))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 a b) a) (/.f64 (-.f64 a b) a)))) |
| ✓ | 0.0b | (/.f64 (+.f64 a b) a) |
| ✓ | 0.0b | (*.f64 (/.f64 (+.f64 a b) a) (/.f64 (-.f64 a b) a)) |
| ✓ | 0.0b | (/.f64 (-.f64 a b) a) |
Compiled 56 to 9 computations (83.9% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | b | @ | inf | (sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 a b) a) (/.f64 (-.f64 a b) a)))) |
| 4.0ms | a | @ | 0 | (/.f64 (+.f64 a b) a) |
| 1.0ms | b | @ | 0 | (*.f64 (/.f64 (+.f64 a b) a) (/.f64 (-.f64 a b) a)) |
| 1.0ms | a | @ | -inf | (/.f64 (+.f64 a b) a) |
| 1.0ms | a | @ | 0 | (/.f64 (-.f64 a b) a) |
| 1× | batch-egg-rewrite |
| 626× | log-prod_binary64 |
| 588× | prod-diff_binary64 |
| 287× | fma-def_binary64 |
| 268× | log-div_binary64 |
| 197× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 50 |
| 1 | 237 | 45 |
| 2 | 3901 | 45 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 a b) a) |
(*.f64 (/.f64 (+.f64 a b) a) (/.f64 (-.f64 a b) a)) |
(/.f64 (+.f64 a b) a) |
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 a b) a) (/.f64 (-.f64 a b) a)))) |
| Outputs |
|---|
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((#(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 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a))))) (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 a (/.f64 a (+.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 a (/.f64 a (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (/.f64 b a))) (sqrt.f64 (/.f64 (+.f64 a b) a)))))) (#(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 (sqrt.f64 (/.f64 (+.f64 a b) a)) (sqrt.f64 (-.f64 1 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 a b) (*.f64 a (/.f64 a (+.f64 a b)))) 2))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 a b) (*.f64 a (/.f64 a (+.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 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 a b) (*.f64 a (/.f64 a (+.f64 a b)))) 2)) 1/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 a b) (*.f64 a (/.f64 a (+.f64 a b))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b)))) (sqrt.f64 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 a (/.f64 a (+.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 a (/.f64 a (+.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 |
| 472× | fma-neg_binary64 |
| 340× | associate-/l/_binary64 |
| 328× | div-sub_binary64 |
| 319× | cancel-sign-sub-inv_binary64 |
| 312× | fabs-div_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 1277 |
| 1 | 132 | 1196 |
| 2 | 423 | 1151 |
| 3 | 1787 | 896 |
| 4 | 7589 | 896 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 b a)) |
(+.f64 1 (*.f64 -1 (/.f64 b a))) |
(+.f64 1 (*.f64 -1 (/.f64 b a))) |
(+.f64 1 (*.f64 -1 (/.f64 b a))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 b a))) |
(+.f64 1 (*.f64 -1 (/.f64 b a))) |
(+.f64 1 (*.f64 -1 (/.f64 b a))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 b a))) |
(+.f64 1 (*.f64 -1 (/.f64 b a))) |
(+.f64 1 (*.f64 -1 (/.f64 b a))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 b a))) |
(+.f64 1 (*.f64 -1 (/.f64 b a))) |
(+.f64 1 (*.f64 -1 (/.f64 b a))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 1 (*.f64 -1 (/.f64 b a))) |
(+.f64 1 (*.f64 -1 (/.f64 b a))) |
(+.f64 1 (*.f64 -1 (/.f64 b a))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 1 (*.f64 -1 (/.f64 b a))) |
(+.f64 1 (*.f64 -1 (/.f64 b a))) |
(+.f64 1 (*.f64 -1 (/.f64 b 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 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) |
(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)))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(/.f64 b (neg.f64 a)) |
(+.f64 1 (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 (neg.f64 b) a) 1) |
(-.f64 1 (/.f64 b a)) |
(+.f64 1 (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 (neg.f64 b) a) 1) |
(-.f64 1 (/.f64 b a)) |
(+.f64 1 (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 (neg.f64 b) a) 1) |
(-.f64 1 (/.f64 b a)) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 (neg.f64 b) a) 1) |
(-.f64 1 (/.f64 b a)) |
(+.f64 1 (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 (neg.f64 b) a) 1) |
(-.f64 1 (/.f64 b a)) |
(+.f64 1 (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 (neg.f64 b) a) 1) |
(-.f64 1 (/.f64 b a)) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 (neg.f64 b) a) 1) |
(-.f64 1 (/.f64 b a)) |
(+.f64 1 (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 (neg.f64 b) a) 1) |
(-.f64 1 (/.f64 b a)) |
(+.f64 1 (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 (neg.f64 b) a) 1) |
(-.f64 1 (/.f64 b a)) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 b a))) |
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(sqrt.f64 (fabs.f64 (*.f64 (-.f64 b a) (/.f64 (+.f64 b a) (*.f64 a a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
(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 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) (*.f64 a a)) (+.f64 b a)))) |
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 b a) (/.f64 (+.f64 b a) (*.f64 a a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
(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 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) (*.f64 a a)) (+.f64 b a)))) |
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 b a) (/.f64 (+.f64 b a) (*.f64 a a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
(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 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) (*.f64 a a)) (+.f64 b a)))) |
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 b a) (/.f64 (+.f64 b a) (*.f64 a a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
(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 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) (*.f64 a a)) (+.f64 b a)))) |
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 b a) (/.f64 (+.f64 b a) (*.f64 a a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
(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 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) (*.f64 a a)) (+.f64 b a)))) |
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 b a) (/.f64 (+.f64 b a) (*.f64 a a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
(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 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) (*.f64 a a)) (+.f64 b a)))) |
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 b a) (/.f64 (+.f64 b a) (*.f64 a a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
(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 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) (*.f64 a a)) (+.f64 b a)))) |
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 b a) (/.f64 (+.f64 b a) (*.f64 a a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
(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 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) (*.f64 a a)) (+.f64 b a)))) |
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 b a) (/.f64 (+.f64 b a) (*.f64 a a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
(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 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) (*.f64 a a)) (+.f64 b a)))) |
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 b a) (/.f64 (+.f64 b a) (*.f64 a a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
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)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | 0 | (pow.f64 (/.f64 b a) 2) |
| 1.0ms | a | @ | 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 | b | @ | inf | (pow.f64 (/.f64 b a) 2) |
| 1.0ms | b | @ | 0 | (pow.f64 (/.f64 b a) 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 | 19 |
| 1 | 218 | 19 |
| 2 | 2522 | 19 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (/.f64 b a) 2) |
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2) |
| Outputs |
|---|
((#(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 b (*.f64 (pow.f64 a -1) (/.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 (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 (pow.f64 a -1) (pow.f64 a -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b b) (pow.f64 (pow.f64 a -1) 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 (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 (*.f64 (/.f64 b a) (sqrt.f64 (/.f64 b a))) (sqrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b a) b) (pow.f64 a -1))))) (#(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 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 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 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 cbrt.f64 (pow.f64 (/.f64 b a) 6))))) (#(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 (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 (pow.f64 (/.f64 b a) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 6))) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 b a) 4)) (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 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 (log.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))))) |
| 1× | egg-herbie |
| 829× | times-frac_binary64 |
| 600× | cancel-sign-sub-inv_binary64 |
| 501× | fma-neg_binary64 |
| 413× | distribute-neg-frac_binary64 |
| 323× | associate-/l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 928 |
| 1 | 192 | 915 |
| 2 | 641 | 881 |
| 3 | 4258 | 863 |
| 4 | 5846 | 836 |
| 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)) |
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 |
|---|
(/.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)) |
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1 |
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1 |
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(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (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 (*.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))) |
(fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (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 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1) |
(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 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 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (*.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)) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (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 (*.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))) |
(fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1))) |
Compiled 11411 to 4995 computations (56.2% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 538 | 5 | 543 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 0 | 3 |
| Total | 542 | 5 | 547 |
| Status | Error | Program |
|---|---|---|
| ▶ | 13.0b | (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a) |
| ▶ | 0.9b | (fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1) |
| ▶ | 0.0b | (pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2) |
| 1.7b | 1 | |
| ▶ | 13.0b | (sqrt.f64 (fabs.f64 (/.f64 1 (/.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 b b)))))) |
Compiled 57 to 37 computations (35.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 (*.f64 a a) (*.f64 b b)) | |
| ✓ | 0.0b | (sqrt.f64 (fabs.f64 (/.f64 1 (/.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 b b)))))) |
| ✓ | 0.0b | (/.f64 1 (/.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 b b)))) |
| ✓ | 12.6b | (/.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 b b))) |
Compiled 71 to 16 computations (77.5% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | 0 | (/.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 b b))) |
| 1.0ms | b | @ | inf | (/.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 b b))) |
| 1.0ms | a | @ | inf | (/.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 b b))) |
| 1.0ms | b | @ | -inf | (/.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 b b))) |
| 1.0ms | b | @ | 0 | (/.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 b b))) |
| 1× | batch-egg-rewrite |
| 663× | prod-diff_binary64 |
| 572× | log-prod_binary64 |
| 471× | fma-def_binary64 |
| 195× | pow1/3_binary64 |
| 192× | expm1-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 58 |
| 1 | 252 | 50 |
| 2 | 3676 | 49 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 b b))) |
(/.f64 1 (/.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 b b)))) |
(sqrt.f64 (fabs.f64 (/.f64 1 (/.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 b b)))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 a (+.f64 a b)) (/.f64 a (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 a (+.f64 a b)) (/.f64 a (-.f64 a b))))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 a (+.f64 a b)) (/.f64 a (-.f64 a b))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 a (+.f64 a b)) (/.f64 a (-.f64 a b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 a (+.f64 a b)) (/.f64 a (-.f64 a b)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 a (+.f64 a b)) (/.f64 a (-.f64 a b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 a (+.f64 a b)) (/.f64 a (-.f64 a b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (/.f64 1 (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (*.f64 a (/.f64 1 (-.f64 (*.f64 a a) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 a b) a) (/.f64 (-.f64 a b) a)) (*.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 a b) a) (/.f64 (-.f64 a b) a)) (*.f64 (pow.f64 a -2) (fma.f64 b (neg.f64 b) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (+.f64 a b) a) (/.f64 (-.f64 a b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a a) (pow.f64 a -2)) (*.f64 (*.f64 b (neg.f64 b)) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 a -2) (*.f64 a a)) (*.f64 (pow.f64 a -2) (*.f64 b (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 a -2)) (-.f64 (*.f64 a a) (*.f64 b b)))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 a -2)) (-.f64 (*.f64 a a) (*.f64 b b)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 a -2)) (-.f64 (*.f64 a a) (*.f64 b b))))))))) 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| 1× | egg-herbie |
| 623× | associate-*l*_binary64 |
| 599× | associate-*l/_binary64 |
| 555× | fma-def_binary64 |
| 476× | fma-neg_binary64 |
| 443× | associate-*r/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 1395 |
| 1 | 118 | 1269 |
| 2 | 349 | 1185 |
| 3 | 1561 | 1170 |
| 4 | 7809 | 1134 |
| 1× | node limit |
| Inputs |
|---|
(*.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 (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 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)))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) |
(neg.f64 (/.f64 (*.f64 a a) (*.f64 b b))) |
(/.f64 (neg.f64 (*.f64 a a)) (*.f64 b b)) |
(*.f64 (/.f64 a b) (neg.f64 (/.f64 a b))) |
(*.f64 (/.f64 a b) (/.f64 (neg.f64 a) b)) |
(+.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 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (/.f64 (*.f64 a a) (*.f64 b b)))) |
(-.f64 (/.f64 (neg.f64 (*.f64 a a)) (*.f64 b b)) (/.f64 (pow.f64 a 4) (pow.f64 b 4))) |
(neg.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 (pow.f64 a 4) (pow.f64 b 4)))) |
(*.f64 (/.f64 a b) (-.f64 (/.f64 (neg.f64 a) b) (pow.f64 (/.f64 a b) 3))) |
(neg.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (pow.f64 (/.f64 a b) 4))) |
(+.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))))) |
(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 a)) (*.f64 b b)) (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (/.f64 (pow.f64 a 6) (pow.f64 b 6))) |
(-.f64 (/.f64 (neg.f64 (pow.f64 a 4)) (pow.f64 b 4)) (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 (pow.f64 a 6) (pow.f64 b 6)))) |
(-.f64 (*.f64 (/.f64 a b) (-.f64 (/.f64 (neg.f64 a) b) (pow.f64 (/.f64 a b) 3))) (/.f64 (pow.f64 a 6) (pow.f64 b 6))) |
(-.f64 (neg.f64 (pow.f64 (/.f64 a b) 4)) (fma.f64 (/.f64 a b) (/.f64 a b) (/.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)))))) |
(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 (/.f64 (neg.f64 (*.f64 a a)) (*.f64 b b)) (/.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))) |
(-.f64 (neg.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 (pow.f64 a 6) (pow.f64 b 6)))) (+.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (/.f64 (pow.f64 a 8) (pow.f64 b 8)))) |
(-.f64 (*.f64 (/.f64 a b) (-.f64 (/.f64 (neg.f64 a) b) (pow.f64 (/.f64 a b) 3))) (+.f64 (/.f64 (pow.f64 a 6) (pow.f64 b 6)) (/.f64 (pow.f64 a 8) (pow.f64 b 8)))) |
(neg.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 a b) 4) 1) (pow.f64 (/.f64 a b) 4) (fma.f64 (/.f64 a b) (/.f64 a b) (/.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 b b) (*.f64 a a))) |
(+.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fma.f64 (/.f64 b a) (/.f64 b a) 1) |
(+.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 (*.f64 b b) (*.f64 a a)) (/.f64 (pow.f64 b 4) (pow.f64 a 4)))) |
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (+.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))) |
(+.f64 (fma.f64 (/.f64 b a) (/.f64 b a) 1) (/.f64 (pow.f64 b 4) (pow.f64 a 4))) |
(+.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) (pow.f64 (/.f64 b a) 3)))) |
(+.f64 (fma.f64 (/.f64 b a) (/.f64 b a) 1) (pow.f64 (/.f64 b a) 4)) |
(+.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 (/.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 (/.f64 b a) (/.f64 b a)) (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (/.f64 (pow.f64 b 6) (pow.f64 a 6)))) |
(+.f64 1 (fma.f64 (/.f64 b a) (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (pow.f64 b 6) (pow.f64 a 6))))) |
(+.f64 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) (pow.f64 (/.f64 b a) 3))) (+.f64 1 (/.f64 (pow.f64 b 6) (pow.f64 a 6)))) |
(+.f64 1 (+.f64 (fma.f64 (/.f64 b a) (/.f64 b a) (pow.f64 (/.f64 b a) 4)) (/.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 b b) (*.f64 a a))) |
(+.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fma.f64 (/.f64 b a) (/.f64 b a) 1) |
(+.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 (*.f64 b b) (*.f64 a a)) (/.f64 (pow.f64 b 4) (pow.f64 a 4)))) |
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (+.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))) |
(+.f64 (fma.f64 (/.f64 b a) (/.f64 b a) 1) (/.f64 (pow.f64 b 4) (pow.f64 a 4))) |
(+.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) (pow.f64 (/.f64 b a) 3)))) |
(+.f64 (fma.f64 (/.f64 b a) (/.f64 b a) 1) (pow.f64 (/.f64 b a) 4)) |
(+.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 (/.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 (/.f64 b a) (/.f64 b a)) (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (/.f64 (pow.f64 b 6) (pow.f64 a 6)))) |
(+.f64 1 (fma.f64 (/.f64 b a) (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (pow.f64 b 6) (pow.f64 a 6))))) |
(+.f64 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) (pow.f64 (/.f64 b a) 3))) (+.f64 1 (/.f64 (pow.f64 b 6) (pow.f64 a 6)))) |
(+.f64 1 (+.f64 (fma.f64 (/.f64 b a) (/.f64 b a) (pow.f64 (/.f64 b a) 4)) (/.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 b b) (*.f64 a a))) |
(+.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fma.f64 (/.f64 b a) (/.f64 b a) 1) |
(+.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 (*.f64 b b) (*.f64 a a)) (/.f64 (pow.f64 b 4) (pow.f64 a 4)))) |
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (+.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))) |
(+.f64 (fma.f64 (/.f64 b a) (/.f64 b a) 1) (/.f64 (pow.f64 b 4) (pow.f64 a 4))) |
(+.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) (pow.f64 (/.f64 b a) 3)))) |
(+.f64 (fma.f64 (/.f64 b a) (/.f64 b a) 1) (pow.f64 (/.f64 b a) 4)) |
(+.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 (/.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 (/.f64 b a) (/.f64 b a)) (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (/.f64 (pow.f64 b 6) (pow.f64 a 6)))) |
(+.f64 1 (fma.f64 (/.f64 b a) (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (pow.f64 b 6) (pow.f64 a 6))))) |
(+.f64 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) (pow.f64 (/.f64 b a) 3))) (+.f64 1 (/.f64 (pow.f64 b 6) (pow.f64 a 6)))) |
(+.f64 1 (+.f64 (fma.f64 (/.f64 b a) (/.f64 b a) (pow.f64 (/.f64 b a) 4)) (/.f64 (pow.f64 b 6) (pow.f64 a 6)))) |
(*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) |
(neg.f64 (/.f64 (*.f64 a a) (*.f64 b b))) |
(/.f64 (neg.f64 (*.f64 a a)) (*.f64 b b)) |
(*.f64 (/.f64 a b) (neg.f64 (/.f64 a b))) |
(*.f64 (/.f64 a b) (/.f64 (neg.f64 a) b)) |
(+.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 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (/.f64 (*.f64 a a) (*.f64 b b)))) |
(-.f64 (/.f64 (neg.f64 (*.f64 a a)) (*.f64 b b)) (/.f64 (pow.f64 a 4) (pow.f64 b 4))) |
(neg.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 (pow.f64 a 4) (pow.f64 b 4)))) |
(*.f64 (/.f64 a b) (-.f64 (/.f64 (neg.f64 a) b) (pow.f64 (/.f64 a b) 3))) |
(neg.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (pow.f64 (/.f64 a b) 4))) |
(+.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))))) |
(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 a)) (*.f64 b b)) (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (/.f64 (pow.f64 a 6) (pow.f64 b 6))) |
(-.f64 (/.f64 (neg.f64 (pow.f64 a 4)) (pow.f64 b 4)) (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 (pow.f64 a 6) (pow.f64 b 6)))) |
(-.f64 (*.f64 (/.f64 a b) (-.f64 (/.f64 (neg.f64 a) b) (pow.f64 (/.f64 a b) 3))) (/.f64 (pow.f64 a 6) (pow.f64 b 6))) |
(-.f64 (neg.f64 (pow.f64 (/.f64 a b) 4)) (fma.f64 (/.f64 a b) (/.f64 a b) (/.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)))))) |
(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 (/.f64 (neg.f64 (*.f64 a a)) (*.f64 b b)) (/.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))) |
(-.f64 (neg.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 (pow.f64 a 6) (pow.f64 b 6)))) (+.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (/.f64 (pow.f64 a 8) (pow.f64 b 8)))) |
(-.f64 (*.f64 (/.f64 a b) (-.f64 (/.f64 (neg.f64 a) b) (pow.f64 (/.f64 a b) 3))) (+.f64 (/.f64 (pow.f64 a 6) (pow.f64 b 6)) (/.f64 (pow.f64 a 8) (pow.f64 b 8)))) |
(neg.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 a b) 4) 1) (pow.f64 (/.f64 a b) 4) (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 (pow.f64 a 6) (pow.f64 b 6))))) |
(*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) |
(neg.f64 (/.f64 (*.f64 a a) (*.f64 b b))) |
(/.f64 (neg.f64 (*.f64 a a)) (*.f64 b b)) |
(*.f64 (/.f64 a b) (neg.f64 (/.f64 a b))) |
(*.f64 (/.f64 a b) (/.f64 (neg.f64 a) b)) |
(+.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 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (/.f64 (*.f64 a a) (*.f64 b b)))) |
(-.f64 (/.f64 (neg.f64 (*.f64 a a)) (*.f64 b b)) (/.f64 (pow.f64 a 4) (pow.f64 b 4))) |
(neg.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 (pow.f64 a 4) (pow.f64 b 4)))) |
(*.f64 (/.f64 a b) (-.f64 (/.f64 (neg.f64 a) b) (pow.f64 (/.f64 a b) 3))) |
(neg.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (pow.f64 (/.f64 a b) 4))) |
(+.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))))) |
(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 a)) (*.f64 b b)) (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (/.f64 (pow.f64 a 6) (pow.f64 b 6))) |
(-.f64 (/.f64 (neg.f64 (pow.f64 a 4)) (pow.f64 b 4)) (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 (pow.f64 a 6) (pow.f64 b 6)))) |
(-.f64 (*.f64 (/.f64 a b) (-.f64 (/.f64 (neg.f64 a) b) (pow.f64 (/.f64 a b) 3))) (/.f64 (pow.f64 a 6) (pow.f64 b 6))) |
(-.f64 (neg.f64 (pow.f64 (/.f64 a b) 4)) (fma.f64 (/.f64 a b) (/.f64 a b) (/.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)))))) |
(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 (/.f64 (neg.f64 (*.f64 a a)) (*.f64 b b)) (/.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))) |
(-.f64 (neg.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 (pow.f64 a 6) (pow.f64 b 6)))) (+.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (/.f64 (pow.f64 a 8) (pow.f64 b 8)))) |
(-.f64 (*.f64 (/.f64 a b) (-.f64 (/.f64 (neg.f64 a) b) (pow.f64 (/.f64 a b) 3))) (+.f64 (/.f64 (pow.f64 a 6) (pow.f64 b 6)) (/.f64 (pow.f64 a 8) (pow.f64 b 8)))) |
(neg.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 a b) 4) 1) (pow.f64 (/.f64 a b) 4) (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 (pow.f64 a 6) (pow.f64 b 6))))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(neg.f64 (*.f64 (/.f64 b a) (/.f64 b a))) |
(/.f64 (/.f64 (neg.f64 b) (/.f64 a b)) a) |
(/.f64 b (/.f64 (*.f64 a a) (neg.f64 b))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b)) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b)) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b)) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b)) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b)) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b)) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b)) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b)) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b)) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b)) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b)) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b)) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(neg.f64 (*.f64 (/.f64 b a) (/.f64 b a))) |
(/.f64 (/.f64 (neg.f64 b) (/.f64 a b)) a) |
(/.f64 b (/.f64 (*.f64 a a) (neg.f64 b))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b)) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b)) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b)) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(neg.f64 (*.f64 (/.f64 b a) (/.f64 b a))) |
(/.f64 (/.f64 (neg.f64 b) (/.f64 a b)) a) |
(/.f64 b (/.f64 (*.f64 a a) (neg.f64 b))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b)) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b)) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b)) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b 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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 (*.f64 a a) (*.f64 b b)) | |
| ✓ | 0.0b | (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a) |
| ✓ | 12.6b | (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) |
Compiled 35 to 7 computations (80% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | 0 | (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) |
| 1.0ms | b | @ | inf | (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) |
| 1.0ms | a | @ | 0 | (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) |
| 1.0ms | a | @ | 0 | (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a) |
| 1.0ms | a | @ | inf | (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) |
| 1× | batch-egg-rewrite |
| 666× | prod-diff_binary64 |
| 450× | log-prod_binary64 |
| 400× | fma-def_binary64 |
| 301× | pow-prod-down_binary64 |
| 237× | pow2_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 27 |
| 1 | 185 | 27 |
| 2 | 2677 | 25 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/6) (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/4) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6))) (hypot.f64 (*.f64 a a) (hypot.f64 (*.f64 b b) (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (hypot.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) (hypot.f64 (sqrt.f64 (*.f64 b (neg.f64 b))) b))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 (sqrt.f64 (*.f64 b (neg.f64 b))) b) (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 b (neg.f64 b))) a)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) 2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a)) (cbrt.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2))) (cbrt.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (*.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/6) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a)) (sqrt.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/4) (*.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/4) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 1) (/.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/6) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/4) 1) (/.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/4) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) -2) (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/4) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/4) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1/2) (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (sqrt.f64 a)) (/.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/6) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 3/2) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 3/2) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 a (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))))) -1)))))) |
| 1× | egg-herbie |
| 601× | associate-/l*_binary64 |
| 543× | associate-/r*_binary64 |
| 518× | fma-neg_binary64 |
| 512× | fma-def_binary64 |
| 296× | associate-*r*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 116 | 1332 |
| 1 | 363 | 1298 |
| 2 | 1217 | 1258 |
| 3 | 5337 | 1258 |
| 4 | 7062 | 1252 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 -1) b) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 (sqrt.f64 -1) b)))) |
a |
(+.f64 a (*.f64 -1/2 (/.f64 (pow.f64 b 2) a))) |
(+.f64 a (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) a)))) |
(+.f64 a (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) a)) (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5)))))) |
(*.f64 -1 a) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) a)) (*.f64 -1 a)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) a)) (*.f64 -1 a))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) a)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))) (*.f64 -1 a)))) |
a |
(+.f64 a (*.f64 -1/2 (/.f64 (pow.f64 b 2) a))) |
(+.f64 a (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) a)))) |
(+.f64 a (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) a)) (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5)))))) |
(*.f64 (sqrt.f64 -1) b) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 (sqrt.f64 -1) b)))) |
(*.f64 -1 (*.f64 (sqrt.f64 -1) b)) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) b)) (*.f64 -1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b)))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) b)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b))) (*.f64 1/8 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) b)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (*.f64 -1/16 (/.f64 (pow.f64 a 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))))))) |
(/.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 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) 1) |
(-.f64 (+.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 (+.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) |
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 (sqrt.f64 -1) b) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b)) |
(fma.f64 1/2 (/.f64 (*.f64 a a) (*.f64 (sqrt.f64 -1) b)) (*.f64 (sqrt.f64 -1) b)) |
(fma.f64 (sqrt.f64 -1) b (*.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 (*.f64 a a) b))) |
(fma.f64 (sqrt.f64 -1) b (*.f64 1/2 (*.f64 (/.f64 a (*.f64 (sqrt.f64 -1) b)) a))) |
(fma.f64 1/2 (*.f64 (/.f64 a (*.f64 (sqrt.f64 -1) b)) a) (*.f64 (sqrt.f64 -1) b)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b))) |
(fma.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (*.f64 a a) (*.f64 (sqrt.f64 -1) b)) (*.f64 (sqrt.f64 -1) b))) |
(fma.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 b 3))) (fma.f64 (sqrt.f64 -1) b (*.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 (*.f64 a a) b)))) |
(fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 4) (pow.f64 b 3)) (fma.f64 (sqrt.f64 -1) b (*.f64 1/2 (*.f64 (/.f64 a (*.f64 (sqrt.f64 -1) b)) a)))) |
(fma.f64 (sqrt.f64 -1) b (fma.f64 1/2 (*.f64 (/.f64 a (*.f64 (sqrt.f64 -1) b)) a) (*.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 4) (pow.f64 b 3))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 (sqrt.f64 -1) b)))) |
(fma.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (*.f64 a a) (*.f64 (sqrt.f64 -1) b)) (fma.f64 1/16 (/.f64 (pow.f64 a 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (*.f64 (sqrt.f64 -1) b)))) |
(fma.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (*.f64 a a) (*.f64 (sqrt.f64 -1) b)) (fma.f64 (sqrt.f64 -1) b (*.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 6) (pow.f64 b 5)))))) |
(fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 4) (pow.f64 b 3)) (fma.f64 (sqrt.f64 -1) b (fma.f64 1/16 (/.f64 (pow.f64 a 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (*.f64 1/2 (*.f64 (/.f64 a (*.f64 (sqrt.f64 -1) b)) a))))) |
(fma.f64 1/2 (*.f64 (/.f64 a (*.f64 (sqrt.f64 -1) b)) a) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 4) (pow.f64 b 3)) (fma.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 6) (pow.f64 b 5)) (*.f64 (sqrt.f64 -1) b)))) |
a |
(+.f64 a (*.f64 -1/2 (/.f64 (pow.f64 b 2) a))) |
(+.f64 a (/.f64 (*.f64 -1/2 (*.f64 b b)) a)) |
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) b) a) |
(+.f64 a (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) a)))) |
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (/.f64 (*.f64 -1/2 (*.f64 b b)) a))) |
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (/.f64 (*.f64 (*.f64 -1/2 b) b) a))) |
(fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (fma.f64 -1/2 (*.f64 (/.f64 b a) b) a)) |
(+.f64 a (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) a)) (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5)))))) |
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 (*.f64 b b) a) (/.f64 (*.f64 -1/16 (pow.f64 b 6)) (pow.f64 a 5))))) |
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5)) (/.f64 (*.f64 (*.f64 -1/2 b) b) a)))) |
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (fma.f64 -1/2 (*.f64 (/.f64 b a) b) (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5)))))) |
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5)) (*.f64 (/.f64 -1/2 a) (*.f64 b b))))) |
(*.f64 -1 a) |
(neg.f64 a) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) a)) (*.f64 -1 a)) |
(fma.f64 1/2 (/.f64 (*.f64 b b) a) (neg.f64 a)) |
(-.f64 (/.f64 (*.f64 1/2 (*.f64 b b)) a) a) |
(fma.f64 (/.f64 1/2 a) (*.f64 b b) (neg.f64 a)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) a)) (*.f64 -1 a))) |
(fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (fma.f64 1/2 (/.f64 (*.f64 b b) a) (neg.f64 a))) |
(-.f64 (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) 1/8 (/.f64 (*.f64 1/2 (*.f64 b b)) a)) a) |
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 b a) b) (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) 1/8)) a) |
(-.f64 (*.f64 (/.f64 1/2 a) (*.f64 b b)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) a)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) a)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))) (*.f64 -1 a)))) |
(fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (fma.f64 1/2 (/.f64 (*.f64 b b) a) (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5)) (neg.f64 a)))) |
(fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) 1/8 (-.f64 (fma.f64 1/2 (/.f64 b (/.f64 a b)) (*.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5)))) a)) |
(fma.f64 1/2 (*.f64 (/.f64 b a) b) (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) 1/8 (-.f64 (*.f64 (/.f64 1/16 (pow.f64 a 5)) (pow.f64 b 6)) a))) |
(-.f64 (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5)) (*.f64 (/.f64 1/2 a) (*.f64 b b))) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) a)) |
a |
(+.f64 a (*.f64 -1/2 (/.f64 (pow.f64 b 2) a))) |
(+.f64 a (/.f64 (*.f64 -1/2 (*.f64 b b)) a)) |
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) b) a) |
(+.f64 a (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) a)))) |
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (/.f64 (*.f64 -1/2 (*.f64 b b)) a))) |
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (/.f64 (*.f64 (*.f64 -1/2 b) b) a))) |
(fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (fma.f64 -1/2 (*.f64 (/.f64 b a) b) a)) |
(+.f64 a (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) a)) (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5)))))) |
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 (*.f64 b b) a) (/.f64 (*.f64 -1/16 (pow.f64 b 6)) (pow.f64 a 5))))) |
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5)) (/.f64 (*.f64 (*.f64 -1/2 b) b) a)))) |
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (fma.f64 -1/2 (*.f64 (/.f64 b a) b) (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5)))))) |
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5)) (*.f64 (/.f64 -1/2 a) (*.f64 b b))))) |
(*.f64 (sqrt.f64 -1) b) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b)) |
(fma.f64 1/2 (/.f64 (*.f64 a a) (*.f64 (sqrt.f64 -1) b)) (*.f64 (sqrt.f64 -1) b)) |
(fma.f64 (sqrt.f64 -1) b (*.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 (*.f64 a a) b))) |
(fma.f64 (sqrt.f64 -1) b (*.f64 1/2 (*.f64 (/.f64 a (*.f64 (sqrt.f64 -1) b)) a))) |
(fma.f64 1/2 (*.f64 (/.f64 a (*.f64 (sqrt.f64 -1) b)) a) (*.f64 (sqrt.f64 -1) b)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b))) |
(fma.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (*.f64 a a) (*.f64 (sqrt.f64 -1) b)) (*.f64 (sqrt.f64 -1) b))) |
(fma.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 b 3))) (fma.f64 (sqrt.f64 -1) b (*.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 (*.f64 a a) b)))) |
(fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 4) (pow.f64 b 3)) (fma.f64 (sqrt.f64 -1) b (*.f64 1/2 (*.f64 (/.f64 a (*.f64 (sqrt.f64 -1) b)) a)))) |
(fma.f64 (sqrt.f64 -1) b (fma.f64 1/2 (*.f64 (/.f64 a (*.f64 (sqrt.f64 -1) b)) a) (*.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 4) (pow.f64 b 3))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 (sqrt.f64 -1) b)))) |
(fma.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (*.f64 a a) (*.f64 (sqrt.f64 -1) b)) (fma.f64 1/16 (/.f64 (pow.f64 a 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (*.f64 (sqrt.f64 -1) b)))) |
(fma.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (*.f64 a a) (*.f64 (sqrt.f64 -1) b)) (fma.f64 (sqrt.f64 -1) b (*.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 6) (pow.f64 b 5)))))) |
(fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 4) (pow.f64 b 3)) (fma.f64 (sqrt.f64 -1) b (fma.f64 1/16 (/.f64 (pow.f64 a 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (*.f64 1/2 (*.f64 (/.f64 a (*.f64 (sqrt.f64 -1) b)) a))))) |
(fma.f64 1/2 (*.f64 (/.f64 a (*.f64 (sqrt.f64 -1) b)) a) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 4) (pow.f64 b 3)) (fma.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 6) (pow.f64 b 5)) (*.f64 (sqrt.f64 -1) b)))) |
(*.f64 -1 (*.f64 (sqrt.f64 -1) b)) |
(neg.f64 (*.f64 (sqrt.f64 -1) b)) |
(*.f64 b (neg.f64 (sqrt.f64 -1))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) b)) (*.f64 -1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b)))) |
(fma.f64 -1 (*.f64 (sqrt.f64 -1) b) (*.f64 (/.f64 (*.f64 a a) (*.f64 (sqrt.f64 -1) b)) -1/2)) |
(fma.f64 (/.f64 (*.f64 a a) (*.f64 (sqrt.f64 -1) b)) -1/2 (*.f64 b (neg.f64 (sqrt.f64 -1)))) |
(-.f64 (*.f64 (/.f64 a (sqrt.f64 -1)) (*.f64 (/.f64 a b) -1/2)) (*.f64 (sqrt.f64 -1) b)) |
(fma.f64 (*.f64 (/.f64 a (*.f64 (sqrt.f64 -1) b)) a) -1/2 (*.f64 b (neg.f64 (sqrt.f64 -1)))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) b)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b))) (*.f64 1/8 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))) |
(fma.f64 -1 (*.f64 (sqrt.f64 -1) b) (fma.f64 -1/2 (/.f64 (*.f64 a a) (*.f64 (sqrt.f64 -1) b)) (*.f64 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))) 1/8))) |
(-.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (sqrt.f64 -1) b)) -1/2 (/.f64 (/.f64 (*.f64 (pow.f64 a 4) 1/8) (pow.f64 b 3)) (neg.f64 (sqrt.f64 -1)))) (*.f64 (sqrt.f64 -1) b)) |
(-.f64 (fma.f64 (*.f64 (/.f64 a (*.f64 (sqrt.f64 -1) b)) a) -1/2 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 3)) (/.f64 -1/8 (sqrt.f64 -1)))) (*.f64 (sqrt.f64 -1) b)) |
(-.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (sqrt.f64 -1) b)) a) -1/2) (fma.f64 (sqrt.f64 -1) b (*.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 4) (pow.f64 b 3))))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) b)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (*.f64 -1/16 (/.f64 (pow.f64 a 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))))))) |
(fma.f64 -1 (*.f64 (sqrt.f64 -1) b) (fma.f64 -1/2 (/.f64 (*.f64 a a) (*.f64 (sqrt.f64 -1) b)) (fma.f64 1/8 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))) (*.f64 (/.f64 (pow.f64 a 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) -1/16)))) |
(-.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (sqrt.f64 -1) b)) -1/2 (fma.f64 (/.f64 (pow.f64 a 4) (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 b 3))) 1/8 (*.f64 (/.f64 -1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 6) (pow.f64 b 5))))) (*.f64 (sqrt.f64 -1) b)) |
(-.f64 (fma.f64 (*.f64 (/.f64 a (*.f64 (sqrt.f64 -1) b)) a) -1/2 (fma.f64 (/.f64 (pow.f64 a 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) -1/16 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 3)) (/.f64 -1/8 (sqrt.f64 -1))))) (*.f64 (sqrt.f64 -1) b)) |
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1 |
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(fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (fma.f64 -1/2 (*.f64 (/.f64 b (*.f64 a a)) b) 1)) |
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(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)) (fma.f64 (/.f64 -1/2 a) (*.f64 (/.f64 b a) b) 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)) (fma.f64 -1/2 (*.f64 (/.f64 b (*.f64 a a)) b) 1))) |
-1 |
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(fma.f64 1/2 (/.f64 (*.f64 b b) (*.f64 a a)) -1) |
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(fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (fma.f64 1/2 (*.f64 (/.f64 b a) (/.f64 b a)) -1)) |
(fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (fma.f64 (/.f64 1/2 a) (*.f64 (/.f64 b a) b) -1)) |
(fma.f64 1/2 (*.f64 (/.f64 b (*.f64 a a)) b) (fma.f64 (/.f64 1/8 (pow.f64 a 4)) (pow.f64 b 4) -1)) |
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(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)) (fma.f64 (/.f64 1/2 a) (*.f64 (/.f64 b a) b) -1))) |
(fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 1/2 (*.f64 (/.f64 b (*.f64 a a)) b) (fma.f64 (/.f64 1/8 (pow.f64 a 4)) (pow.f64 b 4) -1))) |
1 |
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(*.f64 (/.f64 (sqrt.f64 -1) a) (neg.f64 b)) |
(*.f64 (/.f64 b a) (neg.f64 (sqrt.f64 -1))) |
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(fma.f64 -1 (/.f64 (sqrt.f64 -1) (/.f64 a b)) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)))) |
(-.f64 (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) |
(-.f64 (*.f64 (/.f64 a b) (/.f64 -1/2 (sqrt.f64 -1))) (*.f64 (/.f64 b a) (sqrt.f64 -1))) |
(-.f64 (/.f64 (*.f64 a -1/2) (*.f64 (sqrt.f64 -1) b)) (*.f64 b (/.f64 (sqrt.f64 -1) a))) |
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(-.f64 (fma.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (/.f64 1/8 (/.f64 (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 b 3)) (pow.f64 a 3)))) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) |
(-.f64 (fma.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (/.f64 (*.f64 (/.f64 -1/8 (sqrt.f64 -1)) (pow.f64 a 3)) (pow.f64 b 3))) (*.f64 (/.f64 b a) (sqrt.f64 -1))) |
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(-.f64 (/.f64 (*.f64 a -1/2) (*.f64 (sqrt.f64 -1) b)) (fma.f64 (/.f64 (sqrt.f64 -1) a) b (/.f64 (/.f64 -1/8 (pow.f64 (/.f64 b a) 3)) (neg.f64 (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 a (*.f64 (sqrt.f64 -1) b)))))) |
(-.f64 (fma.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 b 3))) (fma.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (*.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 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (fma.f64 -1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (/.f64 (*.f64 (/.f64 -1/8 (sqrt.f64 -1)) (pow.f64 a 3)) (pow.f64 b 3)))) (*.f64 (/.f64 b a) (sqrt.f64 -1))) |
(fma.f64 (/.f64 -1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (fma.f64 -1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (/.f64 (*.f64 a -1/2) (*.f64 (sqrt.f64 -1) b))) (*.f64 b (/.f64 (sqrt.f64 -1) a)))) |
(-.f64 (fma.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (/.f64 (/.f64 1/8 (pow.f64 (/.f64 b a) 3)) (neg.f64 (sqrt.f64 -1)))) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (*.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) |
| ✓ | 0.2b | (/.f64 (/.f64 b a) (/.f64 a b)) |
Compiled 39 to 13 computations (66.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | -inf | (pow.f64 (-.f64 1 (/.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)) |
| 1.0ms | a | @ | inf | (/.f64 (/.f64 b a) (/.f64 a b)) |
| 1× | batch-egg-rewrite |
| 549× | log-prod_binary64 |
| 540× | prod-diff_binary64 |
| 306× | pow-prod-down_binary64 |
| 272× | pow2_binary64 |
| 212× | log-div_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 1 | 226 | 19 |
| 2 | 3066 | 19 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 b a) (/.f64 a b)) |
(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 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 (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 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 (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 (*.f64 a a) -1))))) (#(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 (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 (sqrt.f64 (/.f64 b a)) 3))))) (#(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 (/.f64 b (*.f64 a a)) 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 (cbrt.f64 (*.f64 b b)) (/.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) (/.f64 (cbrt.f64 (/.f64 b a)) (/.f64 a b)))))) (#(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 (/.f64 (/.f64 b a) (neg.f64 a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 b a)) 3) (sqrt.f64 (/.f64 b 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 (/.f64 b (*.f64 a a)) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b (*.f64 a a)) (cbrt.f64 (*.f64 b b))) (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 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) 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) 6) 1/3)))) (#(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) -2) 1) -1)))) (#(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 cbrt.f64 (pow.f64 (/.f64 b a) 6))))) (#(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 (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 fma.f64 (hypot.f64 1 (/.f64 b a)) (hypot.f64 1 (/.f64 b a)) -1))))) |
((#(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 b a) 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 |
| 413× | distribute-neg-frac_binary64 |
| 323× | associate-/l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 928 |
| 1 | 192 | 915 |
| 2 | 641 | 881 |
| 3 | 4258 | 863 |
| 4 | 5846 | 836 |
| 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)) |
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 |
|---|
(/.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)) |
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 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1) |
(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 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 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (*.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)) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (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 (*.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))) |
(fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (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 a (/.f64 b 1/2)) (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 (/.f64 (sqrt.f64 -1) a) b (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))))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (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 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (/.f64 (/.f64 a (/.f64 b 1/2)) (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 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (*.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 5) (pow.f64 b 5)))))) |
(*.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 (*.f64 (/.f64 a b) -1/2) (sqrt.f64 -1)) (*.f64 b (/.f64 (sqrt.f64 -1) a))) |
(-.f64 (/.f64 -1/2 (*.f64 (/.f64 b a) (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 (*.f64 (pow.f64 a 3) 1/8) (*.f64 -1 (sqrt.f64 -1))) (pow.f64 b 3))) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) |
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.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 (/.f64 b a) (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 -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 (/.f64 -1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 5) (pow.f64 b 5))))) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) |
(-.f64 (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)) (*.f64 (/.f64 -1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3))))) (*.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 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 5) (pow.f64 b 5)) (*.f64 (/.f64 b a) (sqrt.f64 -1)))) |
(-.f64 (fma.f64 (/.f64 -1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 5) (pow.f64 b 5)) (*.f64 (/.f64 -1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3))) (fma.f64 b (/.f64 (sqrt.f64 -1) a) (/.f64 (/.f64 a (/.f64 b 1/2)) (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 a (/.f64 b 1/2)) (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 (/.f64 (sqrt.f64 -1) a) b (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))))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (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 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (/.f64 (/.f64 a (/.f64 b 1/2)) (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 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (*.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 5) (pow.f64 b 5)))))) |
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 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1) |
(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 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 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (*.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)) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (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 (*.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))) |
(fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (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 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1) |
(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 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 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (*.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)) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (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 (*.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))) |
(fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1) |
| ✓ | 0.1b | (/.f64 b (/.f64 a b)) |
Compiled 27 to 12 computations (55.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | inf | (/.f64 b (/.f64 a b)) |
| 1.0ms | a | @ | 0 | (fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1) |
| 1.0ms | a | @ | -inf | (fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1) |
| 1.0ms | a | @ | inf | (fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1) |
| 1.0ms | b | @ | 0 | (fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1) |
| 1× | batch-egg-rewrite |
| 469× | log-prod_binary64 |
| 372× | exp-prod_binary64 |
| 299× | prod-exp_binary64 |
| 263× | pow-prod-down_binary64 |
| 242× | pow2_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 191 | 21 |
| 2 | 2509 | 18 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 b (/.f64 a b)) |
(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 b (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (/.f64 b a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (/.f64 b a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 b (/.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 b (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 b (/.f64 b a))) (pow.f64 (cbrt.f64 (*.f64 b (/.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 b (/.f64 b a))) 2) (cbrt.f64 (*.f64 b (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 b (/.f64 b a))) (sqrt.f64 (*.f64 b (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (/.f64 (neg.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) a) (pow.f64 b 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) a) (*.f64 (cbrt.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 a b)) -2) (/.f64 b (cbrt.f64 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 a b) -1/2) (/.f64 b (sqrt.f64 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (/.f64 a b))) (/.f64 (cbrt.f64 b) (sqrt.f64 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b 1) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (neg.f64 a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b a) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b a) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 b (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 b (/.f64 b a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a (*.f64 b b)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 b (/.f64 b a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 b (/.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 b b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 b 3) (pow.f64 (/.f64 a b) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a (*.f64 b b)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 b (/.f64 b a)))) 2)) (cbrt.f64 (log.f64 (*.f64 b (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 b (/.f64 b a))))) (sqrt.f64 (log.f64 (*.f64 b (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (/.f64 (neg.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 b (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 a (*.f64 b b)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 (/.f64 a b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 b 3) (/.f64 (pow.f64 a 3) (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (neg.f64 b) 3) (pow.f64 (/.f64 (neg.f64 a) b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 b a) 3) (pow.f64 (/.f64 1 b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (pow.f64 (/.f64 1 b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 b (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 b (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 b (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 b (/.f64 b a)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 b (/.f64 b a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 b (/.f64 b a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 b b))) -1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 -1/2 (pow.f64 (/.f64 a b) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -1/2 (pow.f64 (/.f64 a b) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (pow.f64 (/.f64 a b) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/2 (pow.f64 (/.f64 a b) -2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 (/.f64 a b) -2) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 (/.f64 a b) -2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 (/.f64 a b) -2) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 (/.f64 a b) -2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -1/2 (pow.f64 (/.f64 a b) -2) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/2 (pow.f64 (/.f64 a b) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 (pow.f64 (/.f64 a b) -2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 a b) -2) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 a b) -2) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 a b) -2) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 a b) -2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 a b) -2) 1)) (sqrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 a b) -2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -1/2 (pow.f64 (/.f64 a b) -2)) 3) 1) (+.f64 (pow.f64 (*.f64 -1/2 (pow.f64 (/.f64 a b) -2)) 2) (-.f64 1 (*.f64 (*.f64 -1/2 (pow.f64 (/.f64 a b) -2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 -1/2 (pow.f64 (/.f64 a b) -2)) 2) 1) (fma.f64 -1/2 (pow.f64 (/.f64 a b) -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/2 (pow.f64 (/.f64 a b) -2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 a b) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 (/.f64 a b) -2) 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 (/.f64 a b) -2) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 a b) -2) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 a b) -2) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 a b) -2)))) 2)) (cbrt.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 a b) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 a b) -2))))) (sqrt.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 a b) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 (/.f64 a b) -2) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 (/.f64 a b) -2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 (/.f64 a b) -2) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/2 (pow.f64 (/.f64 a b) -2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 (/.f64 a b) -2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 a b) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 a b) -2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 a b) -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 a b) -2)))) 2)))))) |
| 1× | egg-herbie |
| 708× | associate-/l*_binary64 |
| 482× | sqr-pow_binary64 |
| 430× | associate-/r*_binary64 |
| 419× | associate-/l/_binary64 |
| 399× | unswap-sqr_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 498 |
| 1 | 25 | 462 |
| 2 | 51 | 462 |
| 3 | 146 | 462 |
| 4 | 758 | 462 |
| 5 | 4895 | 462 |
| 6 | 5768 | 462 |
| 7 | 6004 | 462 |
| 8 | 6217 | 462 |
| 9 | 6465 | 462 |
| 10 | 6802 | 462 |
| 11 | 7234 | 462 |
| 12 | 7793 | 462 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 b 2) a) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (pow.f64 b 2) a) |
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.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 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.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 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.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 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.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 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.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 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
| Outputs |
|---|
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(*.f64 b (/.f64 b a)) |
(/.f64 b (/.f64 a b)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(*.f64 b (/.f64 b a)) |
(/.f64 b (/.f64 a b)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(*.f64 b (/.f64 b a)) |
(/.f64 b (/.f64 a b)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(*.f64 b (/.f64 b a)) |
(/.f64 b (/.f64 a b)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(*.f64 b (/.f64 b a)) |
(/.f64 b (/.f64 a b)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(*.f64 b (/.f64 b a)) |
(/.f64 b (/.f64 a b)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(*.f64 b (/.f64 b a)) |
(/.f64 b (/.f64 a b)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(*.f64 b (/.f64 b a)) |
(/.f64 b (/.f64 a b)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(*.f64 b (/.f64 b a)) |
(/.f64 b (/.f64 a b)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(*.f64 b (/.f64 b a)) |
(/.f64 b (/.f64 a b)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(*.f64 b (/.f64 b a)) |
(/.f64 b (/.f64 a b)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(*.f64 b (/.f64 b a)) |
(/.f64 b (/.f64 a b)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(*.f64 b (/.f64 b a)) |
(/.f64 b (/.f64 a b)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(*.f64 b (/.f64 b a)) |
(/.f64 b (/.f64 a b)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(*.f64 b (/.f64 b a)) |
(/.f64 b (/.f64 a b)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(*.f64 b (/.f64 b a)) |
(/.f64 b (/.f64 a b)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(*.f64 b (/.f64 b a)) |
(/.f64 b (/.f64 a b)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(*.f64 b (/.f64 b a)) |
(/.f64 b (/.f64 a b)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(*.f64 b (/.f64 b a)) |
(/.f64 b (/.f64 a b)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(*.f64 b (/.f64 b a)) |
(/.f64 b (/.f64 a b)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(*.f64 b (/.f64 b a)) |
(/.f64 b (/.f64 a b)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(*.f64 b (/.f64 b a)) |
(/.f64 b (/.f64 a b)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(*.f64 b (/.f64 b a)) |
(/.f64 b (/.f64 a b)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(*.f64 b (/.f64 b a)) |
(/.f64 b (/.f64 a b)) |
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)) |
(*.f64 (/.f64 -1/2 a) (/.f64 (*.f64 b b) a)) |
(*.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a))) |
(*.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a))) |
(*.f64 b (*.f64 b (/.f64 -1/2 (*.f64 a a)))) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)) 1) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) |
(fma.f64 (*.f64 b (/.f64 b a)) (/.f64 -1/2 a) 1) |
(fma.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a)) 1) |
(fma.f64 b (*.f64 b (/.f64 -1/2 (*.f64 a a))) 1) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)) 1) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) |
(fma.f64 (*.f64 b (/.f64 b a)) (/.f64 -1/2 a) 1) |
(fma.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a)) 1) |
(fma.f64 b (*.f64 b (/.f64 -1/2 (*.f64 a a))) 1) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)) 1) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) |
(fma.f64 (*.f64 b (/.f64 b a)) (/.f64 -1/2 a) 1) |
(fma.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a)) 1) |
(fma.f64 b (*.f64 b (/.f64 -1/2 (*.f64 a a))) 1) |
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)) 1) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) |
(fma.f64 (*.f64 b (/.f64 b a)) (/.f64 -1/2 a) 1) |
(fma.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a)) 1) |
(fma.f64 b (*.f64 b (/.f64 -1/2 (*.f64 a a))) 1) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)) 1) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) |
(fma.f64 (*.f64 b (/.f64 b a)) (/.f64 -1/2 a) 1) |
(fma.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a)) 1) |
(fma.f64 b (*.f64 b (/.f64 -1/2 (*.f64 a a))) 1) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)) 1) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) |
(fma.f64 (*.f64 b (/.f64 b a)) (/.f64 -1/2 a) 1) |
(fma.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a)) 1) |
(fma.f64 b (*.f64 b (/.f64 -1/2 (*.f64 a a))) 1) |
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)) 1) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) |
(fma.f64 (*.f64 b (/.f64 b a)) (/.f64 -1/2 a) 1) |
(fma.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a)) 1) |
(fma.f64 b (*.f64 b (/.f64 -1/2 (*.f64 a a))) 1) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)) 1) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) |
(fma.f64 (*.f64 b (/.f64 b a)) (/.f64 -1/2 a) 1) |
(fma.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a)) 1) |
(fma.f64 b (*.f64 b (/.f64 -1/2 (*.f64 a a))) 1) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)) 1) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) |
(fma.f64 (*.f64 b (/.f64 b a)) (/.f64 -1/2 a) 1) |
(fma.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a)) 1) |
(fma.f64 b (*.f64 b (/.f64 -1/2 (*.f64 a a))) 1) |
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)) 1) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) |
(fma.f64 (*.f64 b (/.f64 b a)) (/.f64 -1/2 a) 1) |
(fma.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a)) 1) |
(fma.f64 b (*.f64 b (/.f64 -1/2 (*.f64 a a))) 1) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)) 1) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) |
(fma.f64 (*.f64 b (/.f64 b a)) (/.f64 -1/2 a) 1) |
(fma.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a)) 1) |
(fma.f64 b (*.f64 b (/.f64 -1/2 (*.f64 a a))) 1) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)) 1) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) |
(fma.f64 (*.f64 b (/.f64 b a)) (/.f64 -1/2 a) 1) |
(fma.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a)) 1) |
(fma.f64 b (*.f64 b (/.f64 -1/2 (*.f64 a a))) 1) |
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)) |
(*.f64 (/.f64 -1/2 a) (/.f64 (*.f64 b b) a)) |
(*.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a))) |
(*.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a))) |
(*.f64 b (*.f64 b (/.f64 -1/2 (*.f64 a a)))) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)) 1) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) |
(fma.f64 (*.f64 b (/.f64 b a)) (/.f64 -1/2 a) 1) |
(fma.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a)) 1) |
(fma.f64 b (*.f64 b (/.f64 -1/2 (*.f64 a a))) 1) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)) 1) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) |
(fma.f64 (*.f64 b (/.f64 b a)) (/.f64 -1/2 a) 1) |
(fma.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a)) 1) |
(fma.f64 b (*.f64 b (/.f64 -1/2 (*.f64 a a))) 1) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)) 1) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) |
(fma.f64 (*.f64 b (/.f64 b a)) (/.f64 -1/2 a) 1) |
(fma.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a)) 1) |
(fma.f64 b (*.f64 b (/.f64 -1/2 (*.f64 a a))) 1) |
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)) |
(*.f64 (/.f64 -1/2 a) (/.f64 (*.f64 b b) a)) |
(*.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a))) |
(*.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a))) |
(*.f64 b (*.f64 b (/.f64 -1/2 (*.f64 a a)))) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)) 1) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) |
(fma.f64 (*.f64 b (/.f64 b a)) (/.f64 -1/2 a) 1) |
(fma.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a)) 1) |
(fma.f64 b (*.f64 b (/.f64 -1/2 (*.f64 a a))) 1) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)) 1) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) |
(fma.f64 (*.f64 b (/.f64 b a)) (/.f64 -1/2 a) 1) |
(fma.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a)) 1) |
(fma.f64 b (*.f64 b (/.f64 -1/2 (*.f64 a a))) 1) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)) 1) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) |
(fma.f64 (*.f64 b (/.f64 b a)) (/.f64 -1/2 a) 1) |
(fma.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a)) 1) |
(fma.f64 b (*.f64 b (/.f64 -1/2 (*.f64 a a))) 1) |
Compiled 22426 to 9037 computations (59.7% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1006 | 4 | 1010 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 1 | 3 |
| Total | 1010 | 5 | 1015 |
| Status | Error | Program |
|---|---|---|
| ▶ | 13.0b | (/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) a) |
| ✓ | 0.0b | (pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2) |
| 1.7b | 1 | |
| ▶ | 0.9b | (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 a b) -2)) 1) |
| ▶ | 14.9b | (sqrt.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2))) |
Compiled 53 to 37 computations (30.2% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2))) |
| 0.0b | (-.f64 (*.f64 a a) (*.f64 b b)) | |
| ✓ | 14.5b | (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2)) |
Compiled 44 to 15 computations (65.9% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | a | @ | 0 | (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2)) |
| 0.0ms | a | @ | 0 | (sqrt.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2))) |
| 0.0ms | b | @ | inf | (sqrt.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2))) |
| 0.0ms | b | @ | -inf | (sqrt.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2))) |
| 0.0ms | a | @ | inf | (sqrt.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2))) |
| 1× | batch-egg-rewrite |
| 630× | prod-diff_binary64 |
| 501× | log-prod_binary64 |
| 437× | fma-def_binary64 |
| 374× | pow-prod-down_binary64 |
| 274× | pow2_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 34 |
| 1 | 226 | 34 |
| 2 | 2963 | 33 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2)) |
(sqrt.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1 a) (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))) (/.f64 1 a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))) (/.f64 1 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))) (/.f64 1 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))) (/.f64 1 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 a) (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 a) (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 1 a) (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) (pow.f64 a -2)))) (pow.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) (pow.f64 a -2))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) (pow.f64 a -2))) 1/6) (cbrt.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) (pow.f64 a -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) (pow.f64 a -2))) 1/4) (pow.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) (pow.f64 a -2))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 (/.f64 1 a) (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) (pow.f64 a -2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 a) (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 a -4) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 a -6) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 3)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) (pow.f64 a -2))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) (pow.f64 a -2)))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) (pow.f64 a -2))) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) (pow.f64 a -2))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 1 a) (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 a) (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) (pow.f64 a -2))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 1 a) (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 1 a) (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 1 a) (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) (pow.f64 a -2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1 a) (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))))) 1)))))) |
| 1× | egg-herbie |
| 835× | times-frac_binary64 |
| 609× | cancel-sign-sub-inv_binary64 |
| 504× | fma-neg_binary64 |
| 418× | distribute-neg-frac_binary64 |
| 329× | associate-/l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 997 |
| 1 | 199 | 948 |
| 2 | 661 | 914 |
| 3 | 4316 | 896 |
| 4 | 5947 | 869 |
| 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)))) |
(/.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 -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))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(neg.f64 (*.f64 (/.f64 b a) (/.f64 b a))) |
(*.f64 (/.f64 b a) (neg.f64 (/.f64 b a))) |
(*.f64 (/.f64 b a) (/.f64 (neg.f64 b) a)) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(neg.f64 (*.f64 (/.f64 b a) (/.f64 b a))) |
(*.f64 (/.f64 b a) (neg.f64 (/.f64 b a))) |
(*.f64 (/.f64 b a) (/.f64 (neg.f64 b) a)) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(neg.f64 (*.f64 (/.f64 b a) (/.f64 b a))) |
(*.f64 (/.f64 b a) (neg.f64 (/.f64 b a))) |
(*.f64 (/.f64 b a) (/.f64 (neg.f64 b) a)) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -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 (/.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 (/.f64 1/2 b) (/.f64 a (sqrt.f64 -1)) (*.f64 (/.f64 b a) (sqrt.f64 -1))) |
(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 a (/.f64 b 1/2)) (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 a (*.f64 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)))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (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 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 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 5) (pow.f64 b 5))))) |
(fma.f64 1/2 (/.f64 a (*.f64 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 (/.f64 b a) (sqrt.f64 -1))))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (fma.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 5) (pow.f64 b 5)) (*.f64 (/.f64 b a) (sqrt.f64 -1))))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (fma.f64 (/.f64 b a) (sqrt.f64 -1) (*.f64 (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 1/16 (pow.f64 b 5)))))) |
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2)) |
(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 1 (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 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1)) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (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 (*.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))) |
(fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (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 (*.f64 b b) (*.f64 a a)) -1/2)) |
(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 1 (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 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1)) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (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 (*.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))) |
(fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (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 (*.f64 b b) (*.f64 a a)) -1/2)) |
(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 1 (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 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1)) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (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 (*.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))) |
(fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (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 (/.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 (/.f64 1/2 b) (/.f64 a (sqrt.f64 -1)) (*.f64 (/.f64 b a) (sqrt.f64 -1))) |
(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 a (/.f64 b 1/2)) (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 a (*.f64 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)))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (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 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 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 5) (pow.f64 b 5))))) |
(fma.f64 1/2 (/.f64 a (*.f64 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 (/.f64 b a) (sqrt.f64 -1))))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (fma.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 5) (pow.f64 b 5)) (*.f64 (/.f64 b a) (sqrt.f64 -1))))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (fma.f64 (/.f64 b a) (sqrt.f64 -1) (*.f64 (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 1/16 (pow.f64 b 5)))))) |
(*.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 (neg.f64 b) a) (sqrt.f64 -1)) |
(+.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 (/.f64 a (sqrt.f64 -1)) b) -1/2)) |
(-.f64 (*.f64 (/.f64 (/.f64 a b) (sqrt.f64 -1)) -1/2) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) |
(-.f64 (*.f64 (/.f64 a b) (/.f64 -1/2 (sqrt.f64 -1))) (*.f64 (/.f64 b a) (sqrt.f64 -1))) |
(-.f64 (/.f64 (*.f64 (/.f64 -1/2 b) a) (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 (/.f64 (/.f64 a (sqrt.f64 -1)) b) -1/2))) |
(-.f64 (fma.f64 (/.f64 (/.f64 a b) (sqrt.f64 -1)) -1/2 (/.f64 (*.f64 (pow.f64 a 3) 1/8) (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 b 3))))) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) |
(-.f64 (fma.f64 (/.f64 a (*.f64 b (sqrt.f64 -1))) -1/2 (/.f64 (*.f64 (/.f64 -1/8 (sqrt.f64 -1)) (pow.f64 a 3)) (pow.f64 b 3))) (*.f64 (/.f64 b a) (sqrt.f64 -1))) |
(-.f64 (/.f64 (*.f64 (/.f64 -1/2 b) a) (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 -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 (/.f64 (/.f64 a (sqrt.f64 -1)) b) -1/2)))) |
(-.f64 (fma.f64 (/.f64 (pow.f64 a 3) (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) 1/8 (fma.f64 (/.f64 (/.f64 a b) (sqrt.f64 -1)) -1/2 (*.f64 (/.f64 -1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 5) (pow.f64 b 5))))) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) |
(-.f64 (fma.f64 (/.f64 a (*.f64 b (sqrt.f64 -1))) -1/2 (fma.f64 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) -1/16 (/.f64 (*.f64 (/.f64 -1/8 (sqrt.f64 -1)) (pow.f64 a 3)) (pow.f64 b 3)))) (*.f64 (/.f64 b a) (sqrt.f64 -1))) |
(-.f64 (fma.f64 (/.f64 -1/16 (pow.f64 b 5)) (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (*.f64 (/.f64 -1/2 b) a) (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 (/.f64 -1/2 b) a) (sqrt.f64 -1)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (fma.f64 (/.f64 b a) (sqrt.f64 -1) (*.f64 (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 1/16 (pow.f64 b 5)))))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 -1/2 (pow.f64 (/.f64 a b) -2)) |
| ✓ | 0.0b | (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 a b) -2)) 1) |
| ✓ | 0.4b | (pow.f64 (/.f64 a b) -2) |
Compiled 31 to 18 computations (41.9% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | 0 | (pow.f64 (/.f64 a b) -2) |
| 1.0ms | b | @ | -inf | (pow.f64 (/.f64 a b) -2) |
| 1.0ms | a | @ | -inf | (pow.f64 (/.f64 a b) -2) |
| 1.0ms | b | @ | 0 | (pow.f64 (/.f64 a b) -2) |
| 1.0ms | a | @ | inf | (pow.f64 (/.f64 a b) -2) |
| 1× | batch-egg-rewrite |
| 449× | log-prod_binary64 |
| 349× | exp-prod_binary64 |
| 273× | prod-exp_binary64 |
| 260× | pow2_binary64 |
| 242× | pow-prod-down_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 28 |
| 1 | 217 | 28 |
| 2 | 2645 | 28 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (/.f64 a b) -2) |
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 a b) -2)) 1) |
(*.f64 -1/2 (pow.f64 (/.f64 a b) -2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 a b) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 a b) -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 a b) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 a b) -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 a b) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 a b) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 a b) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 a b) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 a b)) -2) (cbrt.f64 (pow.f64 (/.f64 a b) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 a b) -4)) (pow.f64 (cbrt.f64 (/.f64 a b)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -2) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 a b)) -4) (pow.f64 (cbrt.f64 (/.f64 a b)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (/.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 a b) -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 a b) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 a b) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 a b) -6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 a b) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 a b) -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 exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 a b) -6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 a b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 a b)) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 a b)) 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 b a))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 a b)) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 a b)) -1) (log.f64 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 b a)) (*.f64 (log.f64 (/.f64 a b)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 a b)) -1) (*.f64 (log.f64 (/.f64 a b)) -1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 (/.f64 a b) -2) -1/2 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 (/.f64 a b) -4) 1/4) (fma.f64 (pow.f64 (/.f64 a b) -2) -1/2 -1)) (/.f64 1 (fma.f64 (pow.f64 (/.f64 a b) -2) -1/2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 (/.f64 a b) -2) -1/2 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (/.f64 a b) -2) -1/2 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 a b) -2) -1/2 1)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 a b) -2) -1/2 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 a b) -2) -1/2 1)) 2) (cbrt.f64 (fma.f64 (pow.f64 (/.f64 a b) -2) -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 (/.f64 b a) (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 (/.f64 b a) (sqrt.f64 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (/.f64 a b) -6) -1/8 1) (/.f64 1 (-.f64 (fma.f64 (pow.f64 (/.f64 a b) -4) 1/4 1) (*.f64 (pow.f64 (/.f64 a b) -2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (/.f64 a b) -4) 1/4 -1) (/.f64 1 (fma.f64 (pow.f64 (/.f64 a b) -2) -1/2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 a b) -4) 1/4 1) (*.f64 (pow.f64 (/.f64 a b) -2) -1/2)) (fma.f64 (pow.f64 (/.f64 a b) -6) -1/8 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (pow.f64 (/.f64 a b) -2) -1/2 -1) (fma.f64 (pow.f64 (/.f64 a b) -4) 1/4 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 a b) -6) -1/8 1) (-.f64 (fma.f64 (pow.f64 (/.f64 a b) -4) 1/4 1) (*.f64 (pow.f64 (/.f64 a b) -2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 a b) -6) -1/8 1) (+.f64 1 (-.f64 (*.f64 (pow.f64 (/.f64 a b) -4) 1/4) (*.f64 (pow.f64 (/.f64 a b) -2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 a b) -4) 1/4 -1) (fma.f64 (pow.f64 (/.f64 a b) -2) -1/2 -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 a b) -6) -1/8 1)) (neg.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 a b) -4) 1/4 1) (*.f64 (pow.f64 (/.f64 a b) -2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 a b) -4) 1/4 -1)) (neg.f64 (fma.f64 (pow.f64 (/.f64 a b) -2) -1/2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 a b) -4) 1/4)) (-.f64 1 (*.f64 (pow.f64 (/.f64 a b) -2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 (/.f64 a b) -2) -1/2 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log1p.f64 (*.f64 (pow.f64 (/.f64 a b) -2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 a b) -2) -1/2 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 a b) -2) -1/2 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 a b) -2) -1/2 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (*.f64 (/.f64 b a) (sqrt.f64 -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 a b) -4) 1/4 1) (*.f64 (pow.f64 (/.f64 a b) -2) -1/2)) (fma.f64 (pow.f64 (/.f64 a b) -6) -1/8 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 a b) -2) -1/2 -1) (fma.f64 (pow.f64 (/.f64 a b) -4) 1/4 -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 a b) -2) -1/2))) 2)) (cbrt.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 a b) -2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 a b) -2) -1/2)))) (sqrt.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 a b) -2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 a b) -2) -1/2 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 (/.f64 a b) -2) -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (/.f64 a b) -2) -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 a b) -2) -1/2 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (/.f64 a b) -2) -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (/.f64 a b) -2) -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 a b) -2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 a b) -2) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (*.f64 (pow.f64 (/.f64 a b) -2) -1/2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 (pow.f64 (/.f64 a b) -2) -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 1 (*.f64 (/.f64 b a) (sqrt.f64 -1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 a b) -2) -1/2)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 a b) -2) -1/2 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (pow.f64 (/.f64 a b) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (/.f64 a b) -2) -1/2) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (pow.f64 (/.f64 a b) -2) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 a b) -2) -1/2)) (cbrt.f64 (*.f64 (pow.f64 (/.f64 a b) -4) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 a b) -4) 1/4)) (cbrt.f64 (*.f64 (pow.f64 (/.f64 a b) -2) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 a b) -4) 1/4)) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 a b) -2) -1/2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 a b) -4)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 a b)) -2) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 b a) (sqrt.f64 -1/2)) (*.f64 (/.f64 b a) (sqrt.f64 -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 b a) (sqrt.f64 -1/2)) (*.f64 (*.f64 (/.f64 b a) (sqrt.f64 -1/2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 b a) (*.f64 (/.f64 b a) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 (/.f64 a b) -4))) (pow.f64 (cbrt.f64 (/.f64 a b)) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (/.f64 b a)) (/.f64 b a) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (/.f64 a b) -2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (pow.f64 (/.f64 a b) -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (pow.f64 (/.f64 a b) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (pow.f64 (/.f64 a b) -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (pow.f64 (/.f64 a b) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (pow.f64 (/.f64 a b) -2) -1/2 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 a b) -2) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (pow.f64 (/.f64 a b) -2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 a b) -4) 1/4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 a b) -2) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 b a) (sqrt.f64 -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 a b) -6) -1/8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (pow.f64 (/.f64 a b) -2) -1/2))) 2)) (cbrt.f64 (log.f64 (*.f64 (pow.f64 (/.f64 a b) -2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (pow.f64 (/.f64 a b) -2) -1/2)))) (sqrt.f64 (log.f64 (*.f64 (pow.f64 (/.f64 a b) -2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 a b) -4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (pow.f64 (/.f64 a b) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (/.f64 a b) -2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 a b) -6) -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 a b) -2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 a b) -2) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (/.f64 a b) -2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (/.f64 a b) -2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 a b) -2) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 a b) -2) -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 b a) (sqrt.f64 -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 a b) -6) -1/8)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 a b) -2) -1/2)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 a b) -2) -1/2)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (pow.f64 (/.f64 a b) -2) -1/2 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 (/.f64 a b) -2) -1/2 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 a b) -2) -1/2 1)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 a b) -2) -1/2 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 a b) -2) -1/2 1)) 2) (cbrt.f64 (fma.f64 (pow.f64 (/.f64 a b) -2) -1/2 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 (/.f64 b a) (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 (/.f64 b a) (sqrt.f64 -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 (/.f64 a b) -6) -1/8 1) (/.f64 1 (-.f64 (fma.f64 (pow.f64 (/.f64 a b) -4) 1/4 1) (*.f64 (pow.f64 (/.f64 a b) -2) -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 (/.f64 a b) -4) 1/4 -1) (/.f64 1 (fma.f64 (pow.f64 (/.f64 a b) -2) -1/2 -1)) -1))))) |
| 1× | egg-herbie |
| 712× | *-commutative_binary64 |
| 638× | associate-/l*_binary64 |
| 574× | sqr-pow_binary64 |
| 394× | associate-/r*_binary64 |
| 334× | associate-/l/_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 882 |
| 1 | 24 | 846 |
| 2 | 49 | 846 |
| 3 | 137 | 846 |
| 4 | 680 | 846 |
| 5 | 4246 | 846 |
| 6 | 4925 | 846 |
| 7 | 5137 | 846 |
| 8 | 5341 | 846 |
| 9 | 5577 | 846 |
| 10 | 5899 | 846 |
| 11 | 6728 | 846 |
| 12 | 7280 | 846 |
| 13 | 7926 | 846 |
| 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 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.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 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.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 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.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 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.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 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.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 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.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 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(*.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 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(*.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 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(*.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 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(*.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 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(*.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 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(*.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 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(*.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 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(*.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 b (/.f64 (*.f64 a a) b)) |
(*.f64 b (/.f64 b (*.f64 a 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 b (/.f64 (*.f64 a a) b)) |
(*.f64 b (/.f64 b (*.f64 a 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 b (/.f64 (*.f64 a a) b)) |
(*.f64 b (/.f64 b (*.f64 a 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 b (/.f64 (*.f64 a a) b)) |
(*.f64 b (/.f64 b (*.f64 a 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 b (/.f64 (*.f64 a a) b)) |
(*.f64 b (/.f64 b (*.f64 a 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 b (/.f64 (*.f64 a a) b)) |
(*.f64 b (/.f64 b (*.f64 a 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 b (/.f64 (*.f64 a a) b)) |
(*.f64 b (/.f64 b (*.f64 a 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 b (/.f64 (*.f64 a a) b)) |
(*.f64 b (/.f64 b (*.f64 a 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 b (/.f64 (*.f64 a a) b)) |
(*.f64 b (/.f64 b (*.f64 a 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 b (/.f64 (*.f64 a a) b)) |
(*.f64 b (/.f64 b (*.f64 a 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 b (/.f64 (*.f64 a a) b)) |
(*.f64 b (/.f64 b (*.f64 a 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 b (/.f64 (*.f64 a a) b)) |
(*.f64 b (/.f64 b (*.f64 a 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 b (/.f64 (*.f64 a a) b)) |
(*.f64 b (/.f64 b (*.f64 a 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 b (/.f64 (*.f64 a a) b)) |
(*.f64 b (/.f64 b (*.f64 a 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 b (/.f64 (*.f64 a a) b)) |
(*.f64 b (/.f64 b (*.f64 a 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 b (/.f64 (*.f64 a a) b)) |
(*.f64 b (/.f64 b (*.f64 a 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 b (/.f64 (*.f64 a a) b)) |
(*.f64 b (/.f64 b (*.f64 a 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 b (/.f64 (*.f64 a a) b)) |
(*.f64 b (/.f64 b (*.f64 a 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 b (/.f64 (*.f64 a a) b)) |
(*.f64 b (/.f64 b (*.f64 a 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 b (/.f64 (*.f64 a a) b)) |
(*.f64 b (/.f64 b (*.f64 a 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 b (/.f64 (*.f64 a a) b)) |
(*.f64 b (/.f64 b (*.f64 a 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 b (/.f64 (*.f64 a a) b)) |
(*.f64 b (/.f64 b (*.f64 a 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 b (/.f64 (*.f64 a a) b)) |
(*.f64 b (/.f64 b (*.f64 a 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 b (/.f64 (*.f64 a a) b)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) |
(/.f64 (/.f64 (*.f64 (*.f64 b b) -1/2) a) a) |
(*.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a))) |
(*.f64 b (/.f64 (/.f64 -1/2 a) (/.f64 a b))) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) 1) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1) |
(fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2 1) |
(fma.f64 (/.f64 b (/.f64 (*.f64 a a) b)) -1/2 1) |
(fma.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a)) 1) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) 1) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1) |
(fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2 1) |
(fma.f64 (/.f64 b (/.f64 (*.f64 a a) b)) -1/2 1) |
(fma.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a)) 1) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) 1) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1) |
(fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2 1) |
(fma.f64 (/.f64 b (/.f64 (*.f64 a a) b)) -1/2 1) |
(fma.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a)) 1) |
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) 1) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1) |
(fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2 1) |
(fma.f64 (/.f64 b (/.f64 (*.f64 a a) b)) -1/2 1) |
(fma.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a)) 1) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) 1) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1) |
(fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2 1) |
(fma.f64 (/.f64 b (/.f64 (*.f64 a a) b)) -1/2 1) |
(fma.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a)) 1) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) 1) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1) |
(fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2 1) |
(fma.f64 (/.f64 b (/.f64 (*.f64 a a) b)) -1/2 1) |
(fma.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a)) 1) |
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) 1) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1) |
(fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2 1) |
(fma.f64 (/.f64 b (/.f64 (*.f64 a a) b)) -1/2 1) |
(fma.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a)) 1) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) 1) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1) |
(fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2 1) |
(fma.f64 (/.f64 b (/.f64 (*.f64 a a) b)) -1/2 1) |
(fma.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a)) 1) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) 1) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1) |
(fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2 1) |
(fma.f64 (/.f64 b (/.f64 (*.f64 a a) b)) -1/2 1) |
(fma.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a)) 1) |
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) 1) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1) |
(fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2 1) |
(fma.f64 (/.f64 b (/.f64 (*.f64 a a) b)) -1/2 1) |
(fma.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a)) 1) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) 1) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1) |
(fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2 1) |
(fma.f64 (/.f64 b (/.f64 (*.f64 a a) b)) -1/2 1) |
(fma.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a)) 1) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) 1) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1) |
(fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2 1) |
(fma.f64 (/.f64 b (/.f64 (*.f64 a a) b)) -1/2 1) |
(fma.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a)) 1) |
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) |
(/.f64 (/.f64 (*.f64 (*.f64 b b) -1/2) a) a) |
(*.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a))) |
(*.f64 b (/.f64 (/.f64 -1/2 a) (/.f64 a b))) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) 1) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1) |
(fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2 1) |
(fma.f64 (/.f64 b (/.f64 (*.f64 a a) b)) -1/2 1) |
(fma.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a)) 1) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) 1) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1) |
(fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2 1) |
(fma.f64 (/.f64 b (/.f64 (*.f64 a a) b)) -1/2 1) |
(fma.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a)) 1) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) 1) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1) |
(fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2 1) |
(fma.f64 (/.f64 b (/.f64 (*.f64 a a) b)) -1/2 1) |
(fma.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a)) 1) |
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) |
(/.f64 (/.f64 (*.f64 (*.f64 b b) -1/2) a) a) |
(*.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a))) |
(*.f64 b (/.f64 (/.f64 -1/2 a) (/.f64 a b))) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) 1) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1) |
(fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2 1) |
(fma.f64 (/.f64 b (/.f64 (*.f64 a a) b)) -1/2 1) |
(fma.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a)) 1) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) 1) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1) |
(fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2 1) |
(fma.f64 (/.f64 b (/.f64 (*.f64 a a) b)) -1/2 1) |
(fma.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a)) 1) |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) 1) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1) |
(fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2 1) |
(fma.f64 (/.f64 b (/.f64 (*.f64 a a) b)) -1/2 1) |
(fma.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a)) 1) |
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) |
(/.f64 (/.f64 (*.f64 (*.f64 b b) -1/2) a) a) |
(*.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a))) |
(*.f64 b (/.f64 (/.f64 -1/2 a) (/.f64 a b))) |
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) |
(/.f64 (/.f64 (*.f64 (*.f64 b b) -1/2) a) a) |
(*.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a))) |
(*.f64 b (/.f64 (/.f64 -1/2 a) (/.f64 a b))) |
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) |
(/.f64 (/.f64 (*.f64 (*.f64 b b) -1/2) a) a) |
(*.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a))) |
(*.f64 b (/.f64 (/.f64 -1/2 a) (/.f64 a b))) |
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) |
(/.f64 (/.f64 (*.f64 (*.f64 b b) -1/2) a) a) |
(*.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a))) |
(*.f64 b (/.f64 (/.f64 -1/2 a) (/.f64 a b))) |
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) |
(/.f64 (/.f64 (*.f64 (*.f64 b b) -1/2) a) a) |
(*.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a))) |
(*.f64 b (/.f64 (/.f64 -1/2 a) (/.f64 a b))) |
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) |
(/.f64 (/.f64 (*.f64 (*.f64 b b) -1/2) a) a) |
(*.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a))) |
(*.f64 b (/.f64 (/.f64 -1/2 a) (/.f64 a b))) |
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) |
(/.f64 (/.f64 (*.f64 (*.f64 b b) -1/2) a) a) |
(*.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a))) |
(*.f64 b (/.f64 (/.f64 -1/2 a) (/.f64 a b))) |
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) |
(/.f64 (/.f64 (*.f64 (*.f64 b b) -1/2) a) a) |
(*.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a))) |
(*.f64 b (/.f64 (/.f64 -1/2 a) (/.f64 a b))) |
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) |
(/.f64 (/.f64 (*.f64 (*.f64 b b) -1/2) a) a) |
(*.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a))) |
(*.f64 b (/.f64 (/.f64 -1/2 a) (/.f64 a b))) |
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) |
(/.f64 (/.f64 (*.f64 (*.f64 b b) -1/2) a) a) |
(*.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a))) |
(*.f64 b (/.f64 (/.f64 -1/2 a) (/.f64 a b))) |
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) |
(/.f64 (/.f64 (*.f64 (*.f64 b b) -1/2) a) a) |
(*.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a))) |
(*.f64 b (/.f64 (/.f64 -1/2 a) (/.f64 a b))) |
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) |
(/.f64 (/.f64 (*.f64 (*.f64 b b) -1/2) a) a) |
(*.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a))) |
(*.f64 b (/.f64 (/.f64 -1/2 a) (/.f64 a b))) |
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) |
(/.f64 (/.f64 (*.f64 (*.f64 b b) -1/2) a) a) |
(*.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a))) |
(*.f64 b (/.f64 (/.f64 -1/2 a) (/.f64 a b))) |
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) |
(/.f64 (/.f64 (*.f64 (*.f64 b b) -1/2) a) a) |
(*.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a))) |
(*.f64 b (/.f64 (/.f64 -1/2 a) (/.f64 a b))) |
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) |
(/.f64 (/.f64 (*.f64 (*.f64 b b) -1/2) a) a) |
(*.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a))) |
(*.f64 b (/.f64 (/.f64 -1/2 a) (/.f64 a b))) |
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) |
(/.f64 (/.f64 (*.f64 (*.f64 b b) -1/2) a) a) |
(*.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a))) |
(*.f64 b (/.f64 (/.f64 -1/2 a) (/.f64 a b))) |
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) |
(/.f64 (/.f64 (*.f64 (*.f64 b b) -1/2) a) a) |
(*.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a))) |
(*.f64 b (/.f64 (/.f64 -1/2 a) (/.f64 a b))) |
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) |
(/.f64 (/.f64 (*.f64 (*.f64 b b) -1/2) a) a) |
(*.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a))) |
(*.f64 b (/.f64 (/.f64 -1/2 a) (/.f64 a b))) |
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) |
(/.f64 (/.f64 (*.f64 (*.f64 b b) -1/2) a) a) |
(*.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a))) |
(*.f64 b (/.f64 (/.f64 -1/2 a) (/.f64 a b))) |
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) |
(/.f64 (/.f64 (*.f64 (*.f64 b b) -1/2) a) a) |
(*.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a))) |
(*.f64 b (/.f64 (/.f64 -1/2 a) (/.f64 a b))) |
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) |
(/.f64 (/.f64 (*.f64 (*.f64 b b) -1/2) a) a) |
(*.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a))) |
(*.f64 b (/.f64 (/.f64 -1/2 a) (/.f64 a b))) |
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) |
(/.f64 (/.f64 (*.f64 (*.f64 b b) -1/2) a) a) |
(*.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a))) |
(*.f64 b (/.f64 (/.f64 -1/2 a) (/.f64 a b))) |
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) |
(/.f64 (/.f64 (*.f64 (*.f64 b b) -1/2) a) a) |
(*.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a))) |
(*.f64 b (/.f64 (/.f64 -1/2 a) (/.f64 a b))) |
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2) |
(/.f64 (/.f64 (*.f64 (*.f64 b b) -1/2) a) a) |
(*.f64 (*.f64 b b) (/.f64 -1/2 (*.f64 a a))) |
(*.f64 b (/.f64 (/.f64 -1/2 a) (/.f64 a b))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (-.f64 a b) (+.f64 a b)) |
| ✓ | 0.0b | (/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) a) |
| ✓ | 12.6b | (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) |
Compiled 35 to 7 computations (80% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | a | @ | -inf | (/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) a) |
| 3.0ms | a | @ | -inf | (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) |
| 2.0ms | a | @ | 0 | (/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) a) |
| 2.0ms | a | @ | 0 | (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) |
| 2.0ms | b | @ | inf | (/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) a) |
| 1× | batch-egg-rewrite |
| 803× | prod-diff_binary64 |
| 512× | log-prod_binary64 |
| 367× | fma-def_binary64 |
| 252× | pow2_binary64 |
| 177× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 37 |
| 1 | 187 | 37 |
| 2 | 2962 | 37 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) a) |
(*.f64 (-.f64 a b) (+.f64 a b)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) (cbrt.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) (cbrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/4) (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 b (-.f64 a b))) (sqrt.f64 (*.f64 a (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 b (-.f64 a b))) (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 b (-.f64 a b))) (*.f64 (sqrt.f64 a) (sqrt.f64 (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 a (-.f64 a b))) (sqrt.f64 (*.f64 b (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 a (-.f64 a b))) (*.f64 (sqrt.f64 b) (sqrt.f64 (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 a (-.f64 a b))) (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 a)) (sqrt.f64 (*.f64 b (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 a)) (*.f64 (sqrt.f64 b) (sqrt.f64 (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 a)) (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (-.f64 a b))) (sqrt.f64 (*.f64 b (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (-.f64 a b))) (*.f64 (sqrt.f64 b) (sqrt.f64 (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (-.f64 a b))) (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 (sqrt.f64 b) (sqrt.f64 (-.f64 a b))) (sqrt.f64 (*.f64 a (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 (sqrt.f64 b) (sqrt.f64 (-.f64 a b))) (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 (sqrt.f64 b) (sqrt.f64 (-.f64 a b))) (*.f64 (sqrt.f64 a) (sqrt.f64 (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 b)) (sqrt.f64 (*.f64 a (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 b)) (*.f64 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a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 (-.f64 a b))) (sqrt.f64 (-.f64 a b)) (*.f64 b (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (neg.f64 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 a b) (pow.f64 (cbrt.f64 (+.f64 a b)) 2)) (cbrt.f64 (+.f64 a b)) (fma.f64 (neg.f64 b) b (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b))) (sqrt.f64 (+.f64 a b)) (fma.f64 (neg.f64 b) b (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a b) (pow.f64 (cbrt.f64 (-.f64 a b)) 2)) (cbrt.f64 (-.f64 a b)) (fma.f64 (neg.f64 b) b (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a b) (sqrt.f64 (-.f64 a b))) (sqrt.f64 (-.f64 a b)) (fma.f64 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| 1× | egg-herbie |
| 801× | associate-/r*_binary64 |
| 511× | associate-*l/_binary64 |
| 366× | associate-*r/_binary64 |
| 281× | associate-/l/_binary64 |
| 271× | associate-/r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 204 | 1630 |
| 1 | 705 | 1132 |
| 2 | 3630 | 708 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 -1) b) |
(+.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b)))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) 2)) (pow.f64 a 2)) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b))))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) 2)) (pow.f64 a 2)) (*.f64 (sqrt.f64 -1) b))) (+.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 3))) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b)))))) |
a |
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) a) |
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) 2)) a)) a)) |
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) 2)) 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 2))) a))) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) |
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))) |
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (sqrt.f64 -1))) 2)) a)) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)))) |
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (sqrt.f64 -1))) 2)) a)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (*.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 2))))))) |
a |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) b) a)) a) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) b) a)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) a)) 2)) (pow.f64 b 2)) a)) a)) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (*.f64 (+.f64 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) a)) 2) 1) (pow.f64 b 3))) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) b) a)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) a)) 2)) (pow.f64 b 2)) a)) a))) |
(*.f64 (sqrt.f64 -1) b) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) b)) |
(+.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) b))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) b))) |
(+.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) b))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) (+.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) (pow.f64 b 2)))) (*.f64 (sqrt.f64 -1) b)))) |
(*.f64 -1 (*.f64 (sqrt.f64 -1) b)) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) b)) (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1)))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) b)) (+.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) b))) (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) b)) (+.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) b))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) (*.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) (pow.f64 b 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)))))) |
(*.f64 -1 (pow.f64 (sqrt.f64 -1) 2)) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) a)) (*.f64 -1 (pow.f64 (sqrt.f64 -1) 2))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) a)) (+.f64 (*.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 -1 (pow.f64 (sqrt.f64 -1) 2)))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) a)) (+.f64 (*.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 (pow.f64 (sqrt.f64 -1) 2)) (*.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))))))) |
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))))))) |
(*.f64 -1 (pow.f64 b 2)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 (+.f64 b (*.f64 -1 b)) a)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (*.f64 (+.f64 b (*.f64 -1 b)) a))) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (*.f64 (+.f64 b (*.f64 -1 b)) a))) |
(pow.f64 a 2) |
(+.f64 (pow.f64 a 2) (*.f64 (+.f64 b (*.f64 -1 b)) a)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (*.f64 (+.f64 b (*.f64 -1 b)) a))) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (*.f64 (+.f64 b (*.f64 -1 b)) a))) |
(pow.f64 a 2) |
(+.f64 (pow.f64 a 2) (*.f64 (+.f64 b (*.f64 -1 b)) a)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (*.f64 (+.f64 b (*.f64 -1 b)) a))) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (*.f64 (+.f64 b (*.f64 -1 b)) a))) |
(pow.f64 a 2) |
(+.f64 (pow.f64 a 2) (*.f64 (+.f64 a (*.f64 -1 a)) b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (*.f64 (+.f64 a (*.f64 -1 a)) b))) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (*.f64 (+.f64 a (*.f64 -1 a)) b))) |
(*.f64 -1 (pow.f64 b 2)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 (+.f64 a (*.f64 -1 a)) b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (*.f64 (+.f64 a (*.f64 -1 a)) b))) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (*.f64 (+.f64 a (*.f64 -1 a)) b))) |
(*.f64 -1 (pow.f64 b 2)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 -1 (*.f64 (+.f64 a (*.f64 -1 a)) b))) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 a (*.f64 -1 a)) b)) (pow.f64 a 2))) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 a (*.f64 -1 a)) b)) (pow.f64 a 2))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 -1) b) |
(+.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b)))) |
(fma.f64 (sqrt.f64 -1) b (*.f64 1/2 (*.f64 (/.f64 (*.f64 0 b) (sqrt.f64 -1)) (/.f64 a b)))) |
(fma.f64 (sqrt.f64 -1) b (/.f64 0 (*.f64 (sqrt.f64 -1) b))) |
(fma.f64 (sqrt.f64 -1) b 0) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) 2)) (pow.f64 a 2)) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b))))) |
(fma.f64 1/2 (/.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 0 b) (*.f64 (sqrt.f64 -1) b))) 2)) (/.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 a a))) (fma.f64 (sqrt.f64 -1) b (*.f64 1/2 (*.f64 (/.f64 (*.f64 0 b) (sqrt.f64 -1)) (/.f64 a b))))) |
(fma.f64 1/2 (*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 0 (*.f64 (sqrt.f64 -1) b)) 2)) (sqrt.f64 -1)) (/.f64 a (/.f64 b a))) (fma.f64 (sqrt.f64 -1) b (/.f64 0 (*.f64 (sqrt.f64 -1) b)))) |
(fma.f64 1/2 (/.f64 (*.f64 a a) (*.f64 (sqrt.f64 -1) b)) (*.f64 (sqrt.f64 -1) b)) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) 2)) (pow.f64 a 2)) (*.f64 (sqrt.f64 -1) b))) (+.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 3))) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b)))))) |
(fma.f64 1/2 (/.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 0 b) (*.f64 (sqrt.f64 -1) b))) 2)) (/.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 a a))) (fma.f64 (sqrt.f64 -1) b (*.f64 1/2 (*.f64 (/.f64 (*.f64 0 b) (sqrt.f64 -1)) (/.f64 a b))))) |
(fma.f64 1/2 (*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 0 (*.f64 (sqrt.f64 -1) b)) 2)) (sqrt.f64 -1)) (/.f64 a (/.f64 b a))) (fma.f64 (sqrt.f64 -1) b (/.f64 0 (*.f64 (sqrt.f64 -1) b)))) |
(fma.f64 1/2 (/.f64 (*.f64 a a) (*.f64 (sqrt.f64 -1) b)) (*.f64 (sqrt.f64 -1) b)) |
a |
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) a) |
a |
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) 2)) a)) a)) |
(fma.f64 1/2 (*.f64 0 b) (fma.f64 1/2 (/.f64 (-.f64 (neg.f64 (*.f64 b b)) (pow.f64 (*.f64 1/2 (*.f64 0 b)) 2)) a) a)) |
(+.f64 0 (fma.f64 1/2 (/.f64 (neg.f64 (*.f64 b b)) a) a)) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) b) a) |
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) 2)) 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 2))) a))) |
(fma.f64 1/2 (*.f64 0 b) (fma.f64 1/2 (/.f64 (-.f64 (neg.f64 (*.f64 b b)) (pow.f64 (*.f64 1/2 (*.f64 0 b)) 2)) a) a)) |
(+.f64 0 (fma.f64 1/2 (/.f64 (neg.f64 (*.f64 b b)) a) a)) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) b) a) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) |
a |
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))) |
a |
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (sqrt.f64 -1))) 2)) a)) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)))) |
(fma.f64 1/2 (*.f64 0 b) (fma.f64 1/2 (/.f64 (-.f64 (neg.f64 (*.f64 b b)) (pow.f64 (*.f64 1/2 (*.f64 0 b)) 2)) a) a)) |
(+.f64 0 (fma.f64 1/2 (/.f64 (neg.f64 (*.f64 b b)) a) a)) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) b) a) |
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (sqrt.f64 -1))) 2)) a)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (*.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 2))))))) |
(fma.f64 1/2 (*.f64 0 b) (fma.f64 1/2 (/.f64 (-.f64 (neg.f64 (*.f64 b b)) (pow.f64 (*.f64 1/2 (*.f64 0 b)) 2)) a) a)) |
(+.f64 0 (fma.f64 1/2 (/.f64 (neg.f64 (*.f64 b b)) a) a)) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) b) a) |
a |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) b) a)) a) |
a |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) b) a)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) a)) 2)) (pow.f64 b 2)) a)) a)) |
(fma.f64 1/2 (*.f64 0 b) (fma.f64 1/2 (/.f64 (-.f64 (neg.f64 (*.f64 b b)) (pow.f64 (*.f64 1/2 (*.f64 0 b)) 2)) a) a)) |
(+.f64 0 (fma.f64 1/2 (/.f64 (neg.f64 (*.f64 b b)) a) a)) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) b) a) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (*.f64 (+.f64 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) a)) 2) 1) (pow.f64 b 3))) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) b) a)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) a)) 2)) (pow.f64 b 2)) a)) a))) |
(fma.f64 1/2 (*.f64 0 b) (fma.f64 1/2 (/.f64 (-.f64 (neg.f64 (*.f64 b b)) (pow.f64 (*.f64 1/2 (*.f64 0 b)) 2)) a) a)) |
(+.f64 0 (fma.f64 1/2 (/.f64 (neg.f64 (*.f64 b b)) a) a)) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) b) a) |
(*.f64 (sqrt.f64 -1) b) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) b)) |
(fma.f64 (sqrt.f64 -1) b (*.f64 1/2 (*.f64 (/.f64 (*.f64 0 b) (sqrt.f64 -1)) (/.f64 a b)))) |
(fma.f64 (sqrt.f64 -1) b (/.f64 0 (*.f64 (sqrt.f64 -1) b))) |
(fma.f64 (sqrt.f64 -1) b 0) |
(+.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) b))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) b))) |
(fma.f64 1/2 (/.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 0 b) (*.f64 (sqrt.f64 -1) b))) 2)) (/.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 a a))) (fma.f64 (sqrt.f64 -1) b (*.f64 1/2 (*.f64 (/.f64 (*.f64 0 b) (sqrt.f64 -1)) (/.f64 a b))))) |
(fma.f64 1/2 (*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 0 (*.f64 (sqrt.f64 -1) b)) 2)) (sqrt.f64 -1)) (/.f64 a (/.f64 b a))) (fma.f64 (sqrt.f64 -1) b (/.f64 0 (*.f64 (sqrt.f64 -1) b)))) |
(fma.f64 1/2 (/.f64 (*.f64 a a) (*.f64 (sqrt.f64 -1) b)) (*.f64 (sqrt.f64 -1) b)) |
(+.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) b))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) (+.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) (pow.f64 b 2)))) (*.f64 (sqrt.f64 -1) b)))) |
(fma.f64 1/2 (/.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 0 b) (*.f64 (sqrt.f64 -1) b))) 2)) (/.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 a a))) (fma.f64 (sqrt.f64 -1) b (*.f64 1/2 (*.f64 (/.f64 (*.f64 0 b) (sqrt.f64 -1)) (/.f64 a b))))) |
(fma.f64 1/2 (*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 0 (*.f64 (sqrt.f64 -1) b)) 2)) (sqrt.f64 -1)) (/.f64 a (/.f64 b a))) (fma.f64 (sqrt.f64 -1) b (/.f64 0 (*.f64 (sqrt.f64 -1) b)))) |
(fma.f64 1/2 (/.f64 (*.f64 a a) (*.f64 (sqrt.f64 -1) b)) (*.f64 (sqrt.f64 -1) b)) |
(*.f64 -1 (*.f64 (sqrt.f64 -1) b)) |
(neg.f64 (*.f64 (sqrt.f64 -1) b)) |
(*.f64 (sqrt.f64 -1) (neg.f64 b)) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) b)) (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1)))) |
(neg.f64 (*.f64 (sqrt.f64 -1) b)) |
(*.f64 (sqrt.f64 -1) (neg.f64 b)) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) b)) (+.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) b))) (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))))) |
(fma.f64 -1 (*.f64 (sqrt.f64 -1) b) (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 1/2 (/.f64 (*.f64 0 a) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) b)) (*.f64 1/2 (/.f64 (*.f64 0 a) (sqrt.f64 -1))))) |
(-.f64 (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 a a) (pow.f64 (/.f64 0 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) b)) (/.f64 0 (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) b)) |
(-.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (sqrt.f64 -1) b)) -1/2) (*.f64 (sqrt.f64 -1) b)) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) b)) (+.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) b))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) (*.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) (pow.f64 b 2))))))) |
(fma.f64 -1 (*.f64 (sqrt.f64 -1) b) (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 1/2 (/.f64 (*.f64 0 a) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) b)) (*.f64 1/2 (/.f64 (*.f64 0 a) (sqrt.f64 -1))))) |
(-.f64 (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 a a) (pow.f64 (/.f64 0 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) b)) (/.f64 0 (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) b)) |
(-.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (sqrt.f64 -1) b)) -1/2) (*.f64 (sqrt.f64 -1) b)) |
(/.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 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a)) |
(fma.f64 1/2 (/.f64 (*.f64 0 b) (*.f64 (sqrt.f64 -1) b)) (/.f64 (sqrt.f64 -1) (/.f64 a b))) |
(+.f64 (/.f64 0 (*.f64 (sqrt.f64 -1) b)) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) |
(+.f64 0 (*.f64 (/.f64 b a) (sqrt.f64 -1))) |
(+.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 0 b) (*.f64 (sqrt.f64 -1) b)) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (*.f64 1/2 (/.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 0 b) (*.f64 (sqrt.f64 -1) b))) 2)) (/.f64 (sqrt.f64 -1) (/.f64 a b))))) |
(+.f64 (/.f64 0 (*.f64 (sqrt.f64 -1) b)) (fma.f64 1/2 (*.f64 (/.f64 a b) (/.f64 (-.f64 1 (pow.f64 (/.f64 0 (*.f64 (sqrt.f64 -1) b)) 2)) (sqrt.f64 -1))) (*.f64 (/.f64 (sqrt.f64 -1) a) b))) |
(fma.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (*.f64 (/.f64 b a) (sqrt.f64 -1))) |
(+.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 0 b) (*.f64 (sqrt.f64 -1) b)) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (*.f64 1/2 (/.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 0 b) (*.f64 (sqrt.f64 -1) b))) 2)) (/.f64 (sqrt.f64 -1) (/.f64 a b))))) |
(+.f64 (/.f64 0 (*.f64 (sqrt.f64 -1) b)) (fma.f64 1/2 (*.f64 (/.f64 a b) (/.f64 (-.f64 1 (pow.f64 (/.f64 0 (*.f64 (sqrt.f64 -1) b)) 2)) (sqrt.f64 -1))) (*.f64 (/.f64 (sqrt.f64 -1) a) b))) |
(fma.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (*.f64 (/.f64 b a) (sqrt.f64 -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 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 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 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) |
(*.f64 -1 (pow.f64 (sqrt.f64 -1) 2)) |
1 |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) a)) (*.f64 -1 (pow.f64 (sqrt.f64 -1) 2))) |
1 |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) a)) (+.f64 (*.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 -1 (pow.f64 (sqrt.f64 -1) 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 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) a)) (+.f64 (*.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 (pow.f64 (sqrt.f64 -1) 2)) (*.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 (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 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) |
1 |
(+.f64 1 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) b) (pow.f64 a 2)))) |
1 |
(+.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 (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 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) |
(+.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 (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 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 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 (*.f64 (sqrt.f64 -1) b) a) (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (*.f64 (sqrt.f64 -1) a)))) |
(fma.f64 1/2 (/.f64 (*.f64 0 b) (*.f64 (sqrt.f64 -1) b)) (/.f64 (sqrt.f64 -1) (/.f64 a b))) |
(+.f64 (/.f64 0 (*.f64 (sqrt.f64 -1) b)) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) |
(+.f64 0 (*.f64 (/.f64 b a) (sqrt.f64 -1))) |
(+.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 (fma.f64 1/2 (/.f64 (*.f64 0 b) (*.f64 (sqrt.f64 -1) b)) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (*.f64 1/2 (/.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 0 b) (*.f64 (sqrt.f64 -1) b))) 2)) (/.f64 (sqrt.f64 -1) (/.f64 a b))))) |
(+.f64 (/.f64 0 (*.f64 (sqrt.f64 -1) b)) (fma.f64 1/2 (*.f64 (/.f64 a b) (/.f64 (-.f64 1 (pow.f64 (/.f64 0 (*.f64 (sqrt.f64 -1) b)) 2)) (sqrt.f64 -1))) (*.f64 (/.f64 (sqrt.f64 -1) a) b))) |
(fma.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (*.f64 (/.f64 b a) (sqrt.f64 -1))) |
(+.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 (fma.f64 1/2 (/.f64 (*.f64 0 b) (*.f64 (sqrt.f64 -1) b)) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (*.f64 1/2 (/.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 0 b) (*.f64 (sqrt.f64 -1) b))) 2)) (/.f64 (sqrt.f64 -1) (/.f64 a b))))) |
(+.f64 (/.f64 0 (*.f64 (sqrt.f64 -1) b)) (fma.f64 1/2 (*.f64 (/.f64 a b) (/.f64 (-.f64 1 (pow.f64 (/.f64 0 (*.f64 (sqrt.f64 -1) b)) 2)) (sqrt.f64 -1))) (*.f64 (/.f64 (sqrt.f64 -1) a) b))) |
(fma.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (*.f64 (/.f64 b a) (sqrt.f64 -1))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 -1) b)) a) |
(/.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 (+.f64 a (*.f64 -1 a)) (*.f64 (sqrt.f64 -1) a)))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 -1) b)) a) |
(/.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 (*.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 (sqrt.f64 -1) a)) (*.f64 -1/2 (/.f64 (-.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 (sqrt.f64 -1) b))) (*.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 (sqrt.f64 -1) a)) (*.f64 -1/2 (/.f64 (-.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 (sqrt.f64 -1) b))) (*.f64 (/.f64 b a) (sqrt.f64 -1))) |
(*.f64 -1 (pow.f64 b 2)) |
(neg.f64 (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 (+.f64 b (*.f64 -1 b)) a)) |
(neg.f64 (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (*.f64 (+.f64 b (*.f64 -1 b)) a))) |
(fma.f64 -1 (*.f64 b b) (+.f64 (*.f64 (*.f64 0 b) a) (*.f64 a a))) |
(-.f64 (fma.f64 a a 0) (*.f64 b b)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (*.f64 (+.f64 b (*.f64 -1 b)) a))) |
(fma.f64 -1 (*.f64 b b) (+.f64 (*.f64 (*.f64 0 b) a) (*.f64 a a))) |
(-.f64 (fma.f64 a a 0) (*.f64 b b)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(pow.f64 a 2) |
(*.f64 a a) |
(+.f64 (pow.f64 a 2) (*.f64 (+.f64 b (*.f64 -1 b)) a)) |
(*.f64 a a) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (*.f64 (+.f64 b (*.f64 -1 b)) a))) |
(fma.f64 -1 (*.f64 b b) (+.f64 (*.f64 (*.f64 0 b) a) (*.f64 a a))) |
(-.f64 (fma.f64 a a 0) (*.f64 b b)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (*.f64 (+.f64 b (*.f64 -1 b)) a))) |
(fma.f64 -1 (*.f64 b b) (+.f64 (*.f64 (*.f64 0 b) a) (*.f64 a a))) |
(-.f64 (fma.f64 a a 0) (*.f64 b b)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(pow.f64 a 2) |
(*.f64 a a) |
(+.f64 (pow.f64 a 2) (*.f64 (+.f64 b (*.f64 -1 b)) a)) |
(*.f64 a a) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (*.f64 (+.f64 b (*.f64 -1 b)) a))) |
(fma.f64 -1 (*.f64 b b) (+.f64 (*.f64 (*.f64 0 b) a) (*.f64 a a))) |
(-.f64 (fma.f64 a a 0) (*.f64 b b)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (*.f64 (+.f64 b (*.f64 -1 b)) a))) |
(fma.f64 -1 (*.f64 b b) (+.f64 (*.f64 (*.f64 0 b) a) (*.f64 a a))) |
(-.f64 (fma.f64 a a 0) (*.f64 b b)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(pow.f64 a 2) |
(*.f64 a a) |
(+.f64 (pow.f64 a 2) (*.f64 (+.f64 a (*.f64 -1 a)) b)) |
(*.f64 a a) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (*.f64 (+.f64 a (*.f64 -1 a)) b))) |
(fma.f64 -1 (*.f64 b b) (+.f64 (*.f64 (*.f64 0 b) a) (*.f64 a a))) |
(-.f64 (fma.f64 a a 0) (*.f64 b b)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (*.f64 (+.f64 a (*.f64 -1 a)) b))) |
(fma.f64 -1 (*.f64 b b) (+.f64 (*.f64 (*.f64 0 b) a) (*.f64 a a))) |
(-.f64 (fma.f64 a a 0) (*.f64 b b)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(*.f64 -1 (pow.f64 b 2)) |
(neg.f64 (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 (+.f64 a (*.f64 -1 a)) b)) |
(neg.f64 (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (*.f64 (+.f64 a (*.f64 -1 a)) b))) |
(fma.f64 -1 (*.f64 b b) (+.f64 (*.f64 (*.f64 0 b) a) (*.f64 a a))) |
(-.f64 (fma.f64 a a 0) (*.f64 b b)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (*.f64 (+.f64 a (*.f64 -1 a)) b))) |
(fma.f64 -1 (*.f64 b b) (+.f64 (*.f64 (*.f64 0 b) a) (*.f64 a a))) |
(-.f64 (fma.f64 a a 0) (*.f64 b b)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(*.f64 -1 (pow.f64 b 2)) |
(neg.f64 (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 -1 (*.f64 (+.f64 a (*.f64 -1 a)) b))) |
(neg.f64 (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 a (*.f64 -1 a)) b)) (pow.f64 a 2))) |
(fma.f64 -1 (*.f64 b b) (+.f64 (*.f64 (*.f64 0 b) a) (*.f64 a a))) |
(-.f64 (fma.f64 a a 0) (*.f64 b b)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 a (*.f64 -1 a)) b)) (pow.f64 a 2))) |
(fma.f64 -1 (*.f64 b b) (+.f64 (*.f64 (*.f64 0 b) a) (*.f64 a a))) |
(-.f64 (fma.f64 a a 0) (*.f64 b b)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
Compiled 17561 to 7783 computations (55.7% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 788 | 1 | 789 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 788 | 6 | 794 |
| Status | Error | Program |
|---|---|---|
| 0.9b | (+.f64 (*.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a))) 1) | |
| ✓ | 14.9b | (sqrt.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2))) |
| ✓ | 13.0b | (/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) a) |
| ✓ | 0.0b | (pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2) |
| 1.7b | 1 | |
| ✓ | 0.9b | (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 a b) -2)) 1) |
Compiled 66 to 45 computations (31.8% saved)
| Inputs |
|---|
1 |
1 |
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a))) 1) |
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 a b) -2)) 1) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) a) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a) |
(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1) |
(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2) |
(sqrt.f64 (fabs.f64 1)) |
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2) |
(sqrt.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2))) |
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 a b) a) (/.f64 (-.f64 a b) a)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (/.f64 1 (/.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 b b)))))) |
(sqrt.f64 (fabs.f64 (*.f64 (*.f64 (+.f64 a b) (neg.f64 (-.f64 a b))) (/.f64 1 (*.f64 a (neg.f64 a)))))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
| Outputs |
|---|
(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2) |
12 calls:
| 12.0ms | a |
| 8.0ms | (*.f64 a a) |
| 8.0ms | b |
| 6.0ms | (*.f64 a a) |
| 5.0ms | (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | a |
| 0.0b | 1 | b |
| 0.0b | 1 | (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
| 0.0b | 1 | (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
| 0.0b | 1 | (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) |
| 0.0b | 1 | (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) |
| 0.0b | 1 | (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) |
| 0.0b | 1 | (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) |
| 0.0b | 1 | (*.f64 a a) |
| 0.0b | 1 | (*.f64 a a) |
| 0.0b | 1 | (*.f64 b b) |
| 0.0b | 1 | (*.f64 b b) |
Compiled 267 to 135 computations (49.4% saved)
| Inputs |
|---|
1 |
1 |
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a))) 1) |
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 a b) -2)) 1) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) a) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a) |
(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1) |
| Outputs |
|---|
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a))) 1) |
4 calls:
| 6.0ms | b |
| 5.0ms | a |
| 2.0ms | (*.f64 b b) |
| 2.0ms | (*.f64 b b) |
| Error | Segments | Branch |
|---|---|---|
| 0.9b | 1 | a |
| 0.9b | 1 | b |
| 0.9b | 1 | (*.f64 b b) |
| 0.9b | 1 | (*.f64 b b) |
Compiled 70 to 42 computations (40% saved)
Total 0.0b remaining (0%)
Threshold costs 0.0b (0%)
| Inputs |
|---|
1 |
1 |
| Outputs |
|---|
1 |
2 calls:
| 4.0ms | a |
| 3.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 1.7b | 1 | a |
| 1.7b | 1 | b |
Compiled 10 to 8 computations (20% saved)
| 1× | egg-herbie |
| 5× | +-commutative_binary64 |
| 4× | *-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 33 |
| 1 | 20 | 33 |
| 2 | 26 | 33 |
| 3 | 32 | 33 |
| 4 | 37 | 33 |
| 5 | 40 | 33 |
| 6 | 41 | 33 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2) |
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a))) 1) |
1 |
| Outputs |
|---|
(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2) |
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a))) 1) |
(+.f64 1 (*.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)))) |
1 |
Compiled 29 to 20 computations (31% saved)
Compiled 25 to 15 computations (40% saved)
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