Time bar (total: 3.4s)
| 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)
| 1.1s | 8256× | body | 256 | valid |
| 108.0ms | 791× | 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 |
|---|---|---|
| ▶ | 15.3b | (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
| ▶ | 15.2b | (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)) |
| ✓ | 14.8b | (/.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 | a | @ | 0 | (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
| 1× | batch-egg-rewrite |
| 881× | prod-diff_binary64 |
| 506× | log-prod_binary64 |
| 413× | fma-def_binary64 |
| 251× | pow2_binary64 |
| 215× | egg-rr |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 46 |
| 1 | 214 | 38 |
| 2 | 3342 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) |
(-.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 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
| ✓ | 15.7b | (/.f64 b (*.f64 a a)) |
Compiled 40 to 14 computations (65% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | inf | (/.f64 b (*.f64 a a)) |
| 1.0ms | b | @ | 0 | (/.f64 b (*.f64 a a)) |
| 1.0ms | b | @ | -inf | (/.f64 b (*.f64 a a)) |
| 1.0ms | a | @ | 0 | (/.f64 b (*.f64 a a)) |
| 0.0ms | b | @ | -inf | (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
| 1× | batch-egg-rewrite |
| 832× | pow1_binary64 |
| 772× | add-log-exp_binary64 |
| 772× | log1p-expm1-u_binary64 |
| 772× | expm1-log1p-u_binary64 |
| 752× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 22 |
| 1 | 183 | 20 |
| 2 | 2348 | 20 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 b (*.f64 a a)) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 b (pow.f64 a -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (pow.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b (pow.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 b (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 b (pow.f64 a -2))) (cbrt.f64 (/.f64 (*.f64 b b) (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 b b) (pow.f64 a 4))) (cbrt.f64 (*.f64 b (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) a) (/.f64 (sqrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (*.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -2) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) a) (/.f64 (cbrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 a 4))) (/.f64 b (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 (pow.f64 a 4))) (cbrt.f64 (*.f64 b (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (cbrt.f64 (pow.f64 a 4))) (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (pow.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 b (pow.f64 a -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 b (pow.f64 a -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 b) a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (/.f64 b a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (*.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 b b) (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 b (pow.f64 a -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 (*.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 b (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 b (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 b (pow.f64 a -2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)) (cbrt.f64 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1))) (cbrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1) 1/4) (pow.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)))))))) |
| 1× | egg-herbie |
| 966× | fma-def_binary64 |
| 691× | associate-/r/_binary64 |
| 434× | unswap-sqr_binary64 |
| 262× | cancel-sign-sub-inv_binary64 |
| 231× | associate-/r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 528 |
| 1 | 17 | 528 |
| 2 | 30 | 528 |
| 3 | 55 | 528 |
| 4 | 136 | 528 |
| 5 | 453 | 528 |
| 6 | 1907 | 528 |
| 7 | 3262 | 528 |
| 8 | 3991 | 528 |
| 9 | 4603 | 528 |
| 10 | 5599 | 528 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
| Outputs |
|---|
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
Compiled 8086 to 3366 computations (58.4% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 370 | 3 | 373 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 372 | 3 | 375 |
| Status | Error | Program |
|---|---|---|
| ▶ | 1.6b | (sqrt.f64 (fabs.f64 1)) |
| ▶ | 0.0b | (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2) |
| ▶ | 0.0b | (/.f64 1 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) |
Compiled 30 to 26 computations (13.3% saved)
Compiled 8 to 8 computations (0% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) |
| ✓ | 0.0b | (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))) |
| ✓ | 0.0b | (/.f64 1 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) |
| ✓ | 0.4b | (pow.f64 (/.f64 b a) 2) |
Compiled 52 to 33 computations (36.5% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | -inf | (pow.f64 (/.f64 b a) 2) |
| 2.0ms | b | @ | inf | (pow.f64 (/.f64 b a) 2) |
| 1.0ms | b | @ | inf | (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) |
| 1.0ms | b | @ | inf | (/.f64 1 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) |
| 1.0ms | a | @ | 0 | (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) |
| 1× | batch-egg-rewrite |
| 498× | log-prod_binary64 |
| 280× | pow-prod-down_binary64 |
| 277× | pow2_binary64 |
| 199× | prod-diff_binary64 |
| 195× | pow-to-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 53 |
| 1 | 243 | 45 |
| 2 | 3074 | 45 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (/.f64 b a) 2) |
(/.f64 1 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) |
(/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))) |
(sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (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 (pow.f64 (hypot.f64 1 (/.f64 b a)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (*.f64 (/.f64 1 a) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 b a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b b) (pow.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 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) (pow.f64 (cbrt.f64 (/.f64 b a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b a)) (pow.f64 (/.f64 b a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 b a) 3/2) (sqrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b a) b) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 5) (cbrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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 (pow.f64 (/.f64 a b) 2))))) (#(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 (pow.f64 (neg.f64 b) 2) (pow.f64 (neg.f64 a) 2))))) (#(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 exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 b a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 b a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 6 (log.f64 (/.f64 b a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 b a)) 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 (*.f64 2 (log.f64 (/.f64 b a))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (hypot.f64 1 (/.f64 b a)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (/.f64 b a)) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (/.f64 b a)) 2)) -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 (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 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(2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -2) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -3) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -3/2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/6) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 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(neg.f64 (pow.f64 (/.f64 b a) 2)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1) -1/2)))))) |
| 1× | egg-herbie |
| 833× | associate-/r*_binary64 |
| 750× | associate-*r*_binary64 |
| 743× | fma-def_binary64 |
| 703× | associate-*l*_binary64 |
| 648× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 177 | 2674 |
| 1 | 556 | 2568 |
| 2 | 2055 | 2416 |
| 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)))))) |
1 |
(+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (pow.f64 b 6) (pow.f64 a 6))))) |
(*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (/.f64 (pow.f64 a 6) (pow.f64 b 6))))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 8) (pow.f64 b 8))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (/.f64 (pow.f64 a 6) (pow.f64 b 6)))))) |
(*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (/.f64 (pow.f64 a 6) (pow.f64 b 6))))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 8) (pow.f64 b 8))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (/.f64 (pow.f64 a 6) (pow.f64 b 6)))))) |
(*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (/.f64 (pow.f64 a 6) (pow.f64 b 6))))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 8) (pow.f64 b 8))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (/.f64 (pow.f64 a 6) (pow.f64 b 6)))))) |
1 |
(+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (pow.f64 b 6) (pow.f64 a 6))))) |
1 |
(+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (pow.f64 b 6) (pow.f64 a 6))))) |
1 |
(+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 a 4)) (pow.f64 (/.f64 1/2 (pow.f64 a 2)) 2)) (pow.f64 b 4))))) |
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 a 6)) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 a 4)) (pow.f64 (/.f64 1/2 (pow.f64 a 2)) 2)) (pow.f64 a 2)))) (pow.f64 b 6))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 a 4)) (pow.f64 (/.f64 1/2 (pow.f64 a 2)) 2)) (pow.f64 b 4)))))) |
(/.f64 (*.f64 (sqrt.f64 -1) a) b) |
(+.f64 (/.f64 (*.f64 (sqrt.f64 -1) a) b) (*.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3))))) |
(+.f64 (/.f64 (*.f64 (sqrt.f64 -1) a) b) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) (*.f64 a (pow.f64 b 5))))))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2))) (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 a 8)) (*.f64 (sqrt.f64 -1) (*.f64 a (pow.f64 b 7))))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) a) b) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) (*.f64 a (pow.f64 b 5)))))))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) a) b)) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) a) b))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) (*.f64 a (pow.f64 b 5))))) (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) a) b)))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2))) (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 a 8)) (*.f64 (sqrt.f64 -1) (*.f64 a (pow.f64 b 7))))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) (*.f64 a (pow.f64 b 5))))) (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) a) b))))) |
(/.f64 (*.f64 (sqrt.f64 -1) a) b) |
(+.f64 (/.f64 (*.f64 (sqrt.f64 -1) a) b) (*.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) 2) (/.f64 1 (pow.f64 b 6))) (*.f64 (pow.f64 a 5) b)) (sqrt.f64 -1))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) a) b) (*.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) 2) (/.f64 1 (pow.f64 b 6))) (*.f64 (pow.f64 a 5) b)) (sqrt.f64 -1))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 b 8)) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) 2) (/.f64 1 (pow.f64 b 6))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 b 2))))) (*.f64 (pow.f64 a 7) b)) (sqrt.f64 -1))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) a) b) (*.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3))))))) |
1 |
(+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)))) (*.f64 -1 (pow.f64 b 6))) (pow.f64 a 6))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
1 |
(+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)))) (*.f64 -1 (pow.f64 b 6))) (pow.f64 a 6))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
| Outputs |
|---|
(/.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 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 (/.f64 -1/2 a) (/.f64 (*.f64 b b) a)))) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a))))) |
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 (/.f64 -1/2 a) (/.f64 (*.f64 b b) a))))) |
(fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1))) |
(/.f64 (*.f64 (sqrt.f64 -1) b) a) |
(/.f64 (sqrt.f64 -1) (/.f64 a b)) |
(*.f64 (/.f64 b a) (sqrt.f64 -1)) |
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1 |
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1 |
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1 |
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(*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) |
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(*.f64 (/.f64 a b) (neg.f64 (/.f64 a b))) |
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(-.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)))) |
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1 |
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1 |
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1 |
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(fma.f64 1/2 (fma.f64 (pow.f64 b 4) (-.f64 (/.f64 1 (pow.f64 a 4)) (pow.f64 (/.f64 1/2 (*.f64 a a)) 2)) (*.f64 (/.f64 b a) (/.f64 b a))) 1) |
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(/.f64 (sqrt.f64 -1) (/.f64 b a)) |
(*.f64 (/.f64 (sqrt.f64 -1) b) a) |
(*.f64 (/.f64 a b) (sqrt.f64 -1)) |
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(fma.f64 -1/2 (+.f64 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) (/.f64 (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2)) (*.f64 a (*.f64 (sqrt.f64 -1) (pow.f64 b 5))))) (*.f64 (/.f64 (sqrt.f64 -1) b) a)) |
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(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) a) b)) |
(neg.f64 (/.f64 (sqrt.f64 -1) (/.f64 b a))) |
(/.f64 (neg.f64 (*.f64 a (sqrt.f64 -1))) b) |
(/.f64 (neg.f64 a) (/.f64 b (sqrt.f64 -1))) |
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(-.f64 (*.f64 (/.f64 1/2 (pow.f64 b 3)) (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) (*.f64 (/.f64 (sqrt.f64 -1) b) a)) |
(-.f64 (*.f64 1/2 (/.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1)) (pow.f64 b 3))) (*.f64 (/.f64 a b) (sqrt.f64 -1))) |
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(-.f64 (*.f64 (/.f64 1/2 (sqrt.f64 -1)) (+.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (/.f64 (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 (/.f64 -1/2 (sqrt.f64 -1)) (pow.f64 a 3)) 2)) (*.f64 a (pow.f64 b 5))))) (*.f64 (/.f64 a b) (sqrt.f64 -1))) |
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(/.f64 (*.f64 (sqrt.f64 -1) a) b) |
(/.f64 (sqrt.f64 -1) (/.f64 b a)) |
(*.f64 (/.f64 (sqrt.f64 -1) b) a) |
(*.f64 (/.f64 a b) (sqrt.f64 -1)) |
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(fma.f64 -1/2 (/.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1)) (pow.f64 b 3)) (*.f64 (/.f64 a b) (sqrt.f64 -1))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) 2) (/.f64 1 (pow.f64 b 6))) (*.f64 (pow.f64 a 5) b)) (sqrt.f64 -1))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) a) b) (*.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))))) |
(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) 2) (/.f64 1 (pow.f64 b 6))) (/.f64 (sqrt.f64 -1) (*.f64 b (pow.f64 a 5)))) (+.f64 (/.f64 (sqrt.f64 -1) (/.f64 b a)) (*.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))))) |
(fma.f64 -1/2 (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (pow.f64 b 3)) 2) (/.f64 1 (pow.f64 b 6))) (sqrt.f64 -1)) (*.f64 b (pow.f64 a 5))) (fma.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) (*.f64 (/.f64 (sqrt.f64 -1) b) a))) |
(fma.f64 (/.f64 (sqrt.f64 -1) b) a (*.f64 -1/2 (+.f64 (/.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1)) (pow.f64 b 3)) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (pow.f64 b 3)) 2) (/.f64 1 (pow.f64 b 6))) (sqrt.f64 -1)) (*.f64 b (pow.f64 a 5)))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) 2) (/.f64 1 (pow.f64 b 6))) (*.f64 (pow.f64 a 5) b)) (sqrt.f64 -1))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 b 8)) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) 2) (/.f64 1 (pow.f64 b 6))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 b 2))))) (*.f64 (pow.f64 a 7) b)) (sqrt.f64 -1))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) a) b) (*.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3))))))) |
(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) 2) (/.f64 1 (pow.f64 b 6))) (/.f64 (sqrt.f64 -1) (*.f64 b (pow.f64 a 5)))) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 b 8)) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) 2) (/.f64 1 (pow.f64 b 6))) (*.f64 (*.f64 b b) (pow.f64 (sqrt.f64 -1) 2))))) (/.f64 (sqrt.f64 -1) (*.f64 b (pow.f64 a 7)))) (+.f64 (/.f64 (sqrt.f64 -1) (/.f64 b a)) (*.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3))))))) |
(fma.f64 -1/2 (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (pow.f64 b 3)) 2) (/.f64 1 (pow.f64 b 6))) (sqrt.f64 -1)) (*.f64 b (pow.f64 a 5))) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 b 8)) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (pow.f64 b 3)) 2) (/.f64 1 (pow.f64 b 6))) (*.f64 b b)))) (/.f64 (/.f64 (sqrt.f64 -1) b) (pow.f64 a 7))) (fma.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) (*.f64 (/.f64 (sqrt.f64 -1) b) a)))) |
(fma.f64 -1/2 (fma.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (pow.f64 b 3)) 2) (/.f64 1 (pow.f64 b 6))) (sqrt.f64 -1)) (*.f64 b (pow.f64 a 5)) (*.f64 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (pow.f64 b 3)) 2) (/.f64 1 (pow.f64 b 6))) (*.f64 b b)) (/.f64 1 (pow.f64 b 8))) (sqrt.f64 -1)) (*.f64 b (pow.f64 a 7)))) (fma.f64 -1/2 (/.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1)) (pow.f64 b 3)) (*.f64 (/.f64 a b) (sqrt.f64 -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 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(fma.f64 -1/2 (/.f64 (fma.f64 -1 (pow.f64 b 4) (pow.f64 (*.f64 (*.f64 b b) 1/2) 2)) (pow.f64 a 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) 1/2))) |
(fma.f64 -1/2 (/.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 b 4)) (pow.f64 a 4)) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 1)) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) -3/4) (pow.f64 a 4)) 1)) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)))) (*.f64 -1 (pow.f64 b 6))) (pow.f64 a 6))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
(fma.f64 -1/2 (/.f64 (fma.f64 -1/2 (*.f64 (*.f64 b b) (fma.f64 -1 (pow.f64 b 4) (pow.f64 (*.f64 (*.f64 b b) 1/2) 2))) (neg.f64 (pow.f64 b 6))) (pow.f64 a 6)) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (pow.f64 b 4) (pow.f64 (*.f64 (*.f64 b b) 1/2) 2)) (pow.f64 a 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) 1/2)))) |
(fma.f64 -1/2 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 b 4)) (*.f64 (*.f64 b b) -1/2)) (pow.f64 b 6)) (pow.f64 a 6)) (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 b 4)) (pow.f64 a 4)) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 1))) |
(fma.f64 -1/2 (+.f64 (/.f64 (-.f64 (*.f64 -1/2 (-.f64 (*.f64 (pow.f64 b 6) 1/4) (pow.f64 b 6))) (pow.f64 b 6)) (pow.f64 a 6)) (/.f64 (*.f64 (pow.f64 b 4) -3/4) (pow.f64 a 4))) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 1)) |
1 |
(+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) 1/2)) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 1) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(fma.f64 -1/2 (/.f64 (fma.f64 -1 (pow.f64 b 4) (pow.f64 (*.f64 (*.f64 b b) 1/2) 2)) (pow.f64 a 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) 1/2))) |
(fma.f64 -1/2 (/.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 b 4)) (pow.f64 a 4)) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 1)) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) -3/4) (pow.f64 a 4)) 1)) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)))) (*.f64 -1 (pow.f64 b 6))) (pow.f64 a 6))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
(fma.f64 -1/2 (/.f64 (fma.f64 -1/2 (*.f64 (*.f64 b b) (fma.f64 -1 (pow.f64 b 4) (pow.f64 (*.f64 (*.f64 b b) 1/2) 2))) (neg.f64 (pow.f64 b 6))) (pow.f64 a 6)) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (pow.f64 b 4) (pow.f64 (*.f64 (*.f64 b b) 1/2) 2)) (pow.f64 a 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) 1/2)))) |
(fma.f64 -1/2 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 b 4)) (*.f64 (*.f64 b b) -1/2)) (pow.f64 b 6)) (pow.f64 a 6)) (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 b 4)) (pow.f64 a 4)) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 1))) |
(fma.f64 -1/2 (+.f64 (/.f64 (-.f64 (*.f64 -1/2 (-.f64 (*.f64 (pow.f64 b 6) 1/4) (pow.f64 b 6))) (pow.f64 b 6)) (pow.f64 a 6)) (/.f64 (*.f64 (pow.f64 b 4) -3/4) (pow.f64 a 4))) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 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)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | 0 | (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2) |
| 1.0ms | b | @ | inf | (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2) |
| 1.0ms | b | @ | -inf | (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2) |
| 1.0ms | a | @ | -inf | (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2) |
| 1.0ms | a | @ | 0 | (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2) |
| 1× | batch-egg-rewrite |
| 974× | pow1_binary64 |
| 908× | add-log-exp_binary64 |
| 907× | log1p-expm1-u_binary64 |
| 907× | expm1-log1p-u_binary64 |
| 102× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 12 |
| 1 | 218 | 12 |
| 2 | 2523 | 12 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2)) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 6))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (/.f64 b a) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))))))))) |
| 1× | egg-herbie |
| 829× | times-frac_binary64 |
| 600× | cancel-sign-sub-inv_binary64 |
| 501× | fma-neg_binary64 |
| 411× | distribute-neg-frac_binary64 |
| 324× | associate-/l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 688 |
| 1 | 192 | 675 |
| 2 | 641 | 641 |
| 3 | 4262 | 623 |
| 4 | 5850 | 596 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
(/.f64 (*.f64 (sqrt.f64 -1) b) a) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a)) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)))))) |
(/.f64 (*.f64 (sqrt.f64 -1) b) a) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a)) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))) |
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a))) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) |
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 1 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1)) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a))))) |
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))))) |
(fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1))) |
(fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1))) |
(/.f64 (*.f64 (sqrt.f64 -1) b) a) |
(/.f64 (sqrt.f64 -1) (/.f64 a b)) |
(*.f64 (/.f64 (sqrt.f64 -1) a) b) |
(*.f64 b (/.f64 (sqrt.f64 -1) a)) |
(*.f64 (/.f64 b a) (sqrt.f64 -1)) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a)) |
(fma.f64 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (/.f64 (sqrt.f64 -1) (/.f64 a b))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 b (/.f64 (sqrt.f64 -1) a))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 b a) (sqrt.f64 -1))) |
(fma.f64 b (/.f64 (sqrt.f64 -1) a) (/.f64 (*.f64 1/2 (/.f64 a b)) (sqrt.f64 -1))) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))) |
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (/.f64 (*.f64 -1/8 (pow.f64 a 3)) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (*.f64 (/.f64 (sqrt.f64 -1) a) b))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 b (/.f64 (sqrt.f64 -1) a)))) |
(fma.f64 (/.f64 (sqrt.f64 -1) a) b (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (/.f64 (*.f64 1/2 (/.f64 a b)) (sqrt.f64 -1)))) |
(fma.f64 b (/.f64 (sqrt.f64 -1) a) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (/.f64 (*.f64 1/2 (/.f64 a b)) (sqrt.f64 -1)))) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))) |
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (/.f64 (*.f64 -1/8 (pow.f64 a 3)) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))) |
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) (fma.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 b (/.f64 (sqrt.f64 -1) a))))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 5) (pow.f64 b 5)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (*.f64 (/.f64 b a) (sqrt.f64 -1))))) |
(fma.f64 b (/.f64 (sqrt.f64 -1) a) (fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/16 (pow.f64 b 5)) (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -1) 5)) (*.f64 (pow.f64 (/.f64 a b) 3) (/.f64 1/8 (sqrt.f64 -1)))))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) |
(neg.f64 (/.f64 (sqrt.f64 -1) (/.f64 a b))) |
(/.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 a b)) |
(*.f64 (/.f64 (sqrt.f64 -1) a) (neg.f64 b)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)))) |
(fma.f64 -1 (/.f64 (sqrt.f64 -1) (/.f64 a b)) (*.f64 -1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b))) |
(-.f64 (*.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1))) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) |
(-.f64 (*.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1))) (*.f64 b (/.f64 (sqrt.f64 -1) a))) |
(-.f64 (*.f64 (/.f64 a b) (/.f64 -1/2 (sqrt.f64 -1))) (*.f64 (/.f64 b a) (sqrt.f64 -1))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))))) |
(fma.f64 -1 (/.f64 (sqrt.f64 -1) (/.f64 a b)) (fma.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b)))) |
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 1/8 (pow.f64 b 3)) (/.f64 (pow.f64 a 3) (*.f64 -1 (sqrt.f64 -1))))) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) |
(-.f64 (fma.f64 (/.f64 -1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)))) (*.f64 b (/.f64 (sqrt.f64 -1) a))) |
(-.f64 (*.f64 (/.f64 a b) (/.f64 -1/2 (sqrt.f64 -1))) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (*.f64 (/.f64 b a) (sqrt.f64 -1)))) |
(-.f64 (*.f64 (/.f64 a b) (/.f64 -1/2 (sqrt.f64 -1))) (fma.f64 b (/.f64 (sqrt.f64 -1) a) (*.f64 (pow.f64 (/.f64 a b) 3) (/.f64 1/8 (sqrt.f64 -1))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)))))) |
(fma.f64 -1 (/.f64 (sqrt.f64 -1) (/.f64 a b)) (fma.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))) (fma.f64 -1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (*.f64 -1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b))))) |
(-.f64 (fma.f64 (/.f64 (pow.f64 a 3) (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) 1/8 (fma.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 -1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))))) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) |
(-.f64 (fma.f64 -1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (fma.f64 (/.f64 -1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1))))) (*.f64 b (/.f64 (sqrt.f64 -1) a))) |
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 -1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3))) (fma.f64 (/.f64 1/16 (pow.f64 b 5)) (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -1) 5)) (*.f64 (/.f64 b a) (sqrt.f64 -1)))) |
(-.f64 (*.f64 (/.f64 a b) (/.f64 -1/2 (sqrt.f64 -1))) (fma.f64 (/.f64 1/16 (pow.f64 b 5)) (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -1) 5)) (fma.f64 b (/.f64 (sqrt.f64 -1) a) (*.f64 (pow.f64 (/.f64 a b) 3) (/.f64 1/8 (sqrt.f64 -1)))))) |
(/.f64 (*.f64 (sqrt.f64 -1) b) a) |
(/.f64 (sqrt.f64 -1) (/.f64 a b)) |
(*.f64 (/.f64 (sqrt.f64 -1) a) b) |
(*.f64 b (/.f64 (sqrt.f64 -1) a)) |
(*.f64 (/.f64 b a) (sqrt.f64 -1)) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a)) |
(fma.f64 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (/.f64 (sqrt.f64 -1) (/.f64 a b))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 b (/.f64 (sqrt.f64 -1) a))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 b a) (sqrt.f64 -1))) |
(fma.f64 b (/.f64 (sqrt.f64 -1) a) (/.f64 (*.f64 1/2 (/.f64 a b)) (sqrt.f64 -1))) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))) |
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (/.f64 (*.f64 -1/8 (pow.f64 a 3)) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (*.f64 (/.f64 (sqrt.f64 -1) a) b))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 b (/.f64 (sqrt.f64 -1) a)))) |
(fma.f64 (/.f64 (sqrt.f64 -1) a) b (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (/.f64 (*.f64 1/2 (/.f64 a b)) (sqrt.f64 -1)))) |
(fma.f64 b (/.f64 (sqrt.f64 -1) a) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (/.f64 (*.f64 1/2 (/.f64 a b)) (sqrt.f64 -1)))) |
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))) |
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (/.f64 (*.f64 -1/8 (pow.f64 a 3)) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))) |
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) (fma.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 b (/.f64 (sqrt.f64 -1) a))))) |
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 5) (pow.f64 b 5)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (*.f64 (/.f64 b a) (sqrt.f64 -1))))) |
(fma.f64 b (/.f64 (sqrt.f64 -1) a) (fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/16 (pow.f64 b 5)) (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -1) 5)) (*.f64 (pow.f64 (/.f64 a b) 3) (/.f64 1/8 (sqrt.f64 -1)))))) |
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a))) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) |
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 1 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1)) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a))))) |
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))))) |
(fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1))) |
(fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1))) |
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a))) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) |
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 1 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1)) |
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))) |
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a))))) |
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))))) |
(fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1))) |
(fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1))) |
Compiled 6401 to 4707 computations (26.5% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 350 | 3 | 353 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 0 | 2 |
| Total | 353 | 3 | 356 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2) |
| 1.6b | 1 | |
| ▶ | 0.4b | (fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1) |
Compiled 28 to 20 computations (28.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2) |
| ✓ | 0.3b | (/.f64 (/.f64 b a) (/.f64 a b)) |
Compiled 39 to 13 computations (66.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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)) |
| 0.0ms | a | @ | inf | (/.f64 (/.f64 b a) (/.f64 a b)) |
| 0.0ms | b | @ | inf | (pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2) |
| 1× | batch-egg-rewrite |
| 549× | log-prod_binary64 |
| 540× | prod-diff_binary64 |
| 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)) |
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(*.f64 (/.f64 b a) (/.f64 b a)) |
1 |
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(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) |
(neg.f64 (/.f64 (sqrt.f64 -1) (/.f64 a b))) |
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(*.f64 (/.f64 (sqrt.f64 -1) a) (neg.f64 b)) |
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(-.f64 (/.f64 (*.f64 (/.f64 a b) -1/2) (sqrt.f64 -1)) (*.f64 b (/.f64 (sqrt.f64 -1) a))) |
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(/.f64 (*.f64 (sqrt.f64 -1) b) a) |
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(*.f64 (/.f64 (sqrt.f64 -1) a) b) |
(*.f64 b (/.f64 (sqrt.f64 -1) a)) |
(*.f64 (/.f64 b a) (sqrt.f64 -1)) |
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1 |
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(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1) |
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(+.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 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 b (/.f64 a b)) |
Compiled 27 to 12 computations (55.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | inf | (/.f64 b (/.f64 a b)) |
| 1.0ms | b | @ | 0 | (/.f64 b (/.f64 a b)) |
| 0.0ms | a | @ | -inf | (/.f64 b (/.f64 a b)) |
| 0.0ms | a | @ | inf | (/.f64 b (/.f64 a b)) |
| 0.0ms | a | @ | 0 | (/.f64 b (/.f64 a b)) |
| 1× | batch-egg-rewrite |
| 637× | pow1_binary64 |
| 592× | add-log-exp_binary64 |
| 592× | log1p-expm1-u_binary64 |
| 592× | expm1-log1p-u_binary64 |
| 578× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 110 | 7 |
| 2 | 1605 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 b (/.f64 a b)) |
| Outputs |
|---|
((#(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 (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) (/.f64 (sqrt.f64 b) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 b (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) a) (/.f64 (cbrt.f64 b) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 b (cbrt.f64 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (cbrt.f64 (*.f64 b (/.f64 b a))))))) (#(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 (/.f64 1 (sqrt.f64 (/.f64 a b))) (/.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 (pow.f64 (*.f64 b (/.f64 b a)) 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 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 b (/.f64 b a)) 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)))))))) |
| 1× | egg-herbie |
| 759× | sqr-pow_binary64 |
| 434× | unswap-sqr_binary64 |
| 423× | *-commutative_binary64 |
| 423× | associate-*r/_binary64 |
| 393× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 168 |
| 1 | 11 | 168 |
| 2 | 20 | 168 |
| 3 | 37 | 168 |
| 4 | 83 | 168 |
| 5 | 266 | 168 |
| 6 | 1091 | 168 |
| 7 | 3478 | 168 |
| 8 | 4280 | 168 |
| 9 | 4465 | 168 |
| 10 | 4681 | 168 |
| 11 | 5028 | 168 |
| 12 | 5456 | 168 |
| 13 | 5935 | 168 |
| 14 | 6584 | 168 |
| 15 | 7273 | 168 |
| 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) |
| Outputs |
|---|
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(/.f64 b (/.f64 a b)) |
(*.f64 (/.f64 b a) b) |
(*.f64 b (/.f64 b a)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(/.f64 b (/.f64 a b)) |
(*.f64 (/.f64 b a) b) |
(*.f64 b (/.f64 b a)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(/.f64 b (/.f64 a b)) |
(*.f64 (/.f64 b a) b) |
(*.f64 b (/.f64 b a)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(/.f64 b (/.f64 a b)) |
(*.f64 (/.f64 b a) b) |
(*.f64 b (/.f64 b a)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(/.f64 b (/.f64 a b)) |
(*.f64 (/.f64 b a) b) |
(*.f64 b (/.f64 b a)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(/.f64 b (/.f64 a b)) |
(*.f64 (/.f64 b a) b) |
(*.f64 b (/.f64 b a)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(/.f64 b (/.f64 a b)) |
(*.f64 (/.f64 b a) b) |
(*.f64 b (/.f64 b a)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(/.f64 b (/.f64 a b)) |
(*.f64 (/.f64 b a) b) |
(*.f64 b (/.f64 b a)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(/.f64 b (/.f64 a b)) |
(*.f64 (/.f64 b a) b) |
(*.f64 b (/.f64 b a)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(/.f64 b (/.f64 a b)) |
(*.f64 (/.f64 b a) b) |
(*.f64 b (/.f64 b a)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(/.f64 b (/.f64 a b)) |
(*.f64 (/.f64 b a) b) |
(*.f64 b (/.f64 b a)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(/.f64 b (/.f64 a b)) |
(*.f64 (/.f64 b a) b) |
(*.f64 b (/.f64 b a)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(/.f64 b (/.f64 a b)) |
(*.f64 (/.f64 b a) b) |
(*.f64 b (/.f64 b a)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(/.f64 b (/.f64 a b)) |
(*.f64 (/.f64 b a) b) |
(*.f64 b (/.f64 b a)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(/.f64 b (/.f64 a b)) |
(*.f64 (/.f64 b a) b) |
(*.f64 b (/.f64 b a)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(/.f64 b (/.f64 a b)) |
(*.f64 (/.f64 b a) b) |
(*.f64 b (/.f64 b a)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(/.f64 b (/.f64 a b)) |
(*.f64 (/.f64 b a) b) |
(*.f64 b (/.f64 b a)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(/.f64 b (/.f64 a b)) |
(*.f64 (/.f64 b a) b) |
(*.f64 b (/.f64 b a)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(/.f64 b (/.f64 a b)) |
(*.f64 (/.f64 b a) b) |
(*.f64 b (/.f64 b a)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(/.f64 b (/.f64 a b)) |
(*.f64 (/.f64 b a) b) |
(*.f64 b (/.f64 b a)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(/.f64 b (/.f64 a b)) |
(*.f64 (/.f64 b a) b) |
(*.f64 b (/.f64 b a)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(/.f64 b (/.f64 a b)) |
(*.f64 (/.f64 b a) b) |
(*.f64 b (/.f64 b a)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(/.f64 b (/.f64 a b)) |
(*.f64 (/.f64 b a) b) |
(*.f64 b (/.f64 b a)) |
(/.f64 (pow.f64 b 2) a) |
(/.f64 (*.f64 b b) a) |
(/.f64 b (/.f64 a b)) |
(*.f64 (/.f64 b a) b) |
(*.f64 b (/.f64 b a)) |
Compiled 2239 to 1369 computations (38.9% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 145 | 0 | 145 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 145 | 3 | 148 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2) |
| 1.6b | 1 | |
| ✓ | 0.4b | (fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1) |
Compiled 28 to 20 computations (28.6% saved)
Compiled 2 to 2 computations (0% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 2 | 2 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2) |
| 1.6b | 1 | |
| ✓ | 0.4b | (fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1) |
Compiled 28 to 20 computations (28.6% saved)
| Inputs |
|---|
1 |
(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) |
(/.f64 1 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (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:
| 11.0ms | a |
| 11.0ms | b |
| 9.0ms | (*.f64 a a) |
| 8.0ms | (*.f64 a a) |
| 5.0ms | (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 181 to 102 computations (43.6% saved)
Total -1.1b remaining (-278.8%)
Threshold costs -1.1b (-278.8%)
| Inputs |
|---|
1 |
(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1) |
| Outputs |
|---|
(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1) |
2 calls:
| 7.0ms | b |
| 7.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 0.4b | 1 | a |
| 0.4b | 1 | b |
Compiled 19 to 13 computations (31.6% saved)
| 1× | egg-herbie |
| 4× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 3× | *-commutative_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 31 |
| 1 | 18 | 31 |
| 2 | 24 | 31 |
| 3 | 30 | 31 |
| 4 | 35 | 31 |
| 5 | 38 | 31 |
| 6 | 39 | 31 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2) |
(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1) |
1 |
| Outputs |
|---|
(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2) |
(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1) |
1 |
Compiled 28 to 20 computations (28.6% saved)
Compiled 24 to 15 computations (37.5% saved)
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