Time bar (total: 18.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 0% | 0% | 95.2% | 0.1% | 0% | 4.7% | 0% | 7 |
| 6.6% | 6.2% | 88.2% | 0.1% | 0% | 5.5% | 0% | 8 |
| 11.2% | 10.1% | 80.4% | 0.1% | 1.2% | 8.2% | 0% | 9 |
| 17.4% | 15.2% | 72.2% | 0.1% | 1.4% | 11.1% | 0% | 10 |
| 26.2% | 22.2% | 62.5% | 0.1% | 2.1% | 13% | 0% | 11 |
| 35.6% | 29.1% | 52.5% | 0.1% | 3.3% | 15.1% | 0% | 12 |
Compiled 17 to 11 computations (35.3% saved)
| 1.1s | 5512× | body | 256 | valid |
| 668.0ms | 1155× | body | 2048 | valid |
| 339.0ms | 759× | body | 1024 | valid |
| 319.0ms | 441× | body | 4096 | valid |
| 268.0ms | 1157× | body | 256 | invalid |
| 121.0ms | 389× | body | 512 | valid |
| 62.0ms | 335× | body | 256 | infinite |
| 2× | egg-herbie |
| 1391× | fma-neg_binary64 |
| 685× | div-sub_binary64 |
| 542× | unsub-neg_binary64 |
| 508× | times-frac_binary64 |
| 354× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 80 |
| 1 | 65 | 72 |
| 2 | 112 | 72 |
| 3 | 222 | 72 |
| 4 | 365 | 72 |
| 5 | 620 | 72 |
| 6 | 1058 | 72 |
| 7 | 1773 | 72 |
| 8 | 4031 | 72 |
| 9 | 5484 | 72 |
| 10 | 6891 | 72 |
| 11 | 7212 | 72 |
| 12 | 7285 | 72 |
| 13 | 7349 | 72 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b_2 c)))) b_2) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) c) |
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 a b_2)))) a) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a) |
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b_2 c)))) b_2) |
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b_2 c))) a) b_2) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 (neg.f64 c) (*.f64 a a))) a) b_2) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) c) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) c) |
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) c) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) c) |
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 a b_2)))) a) |
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 b_2 a)))) a) |
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 b_2 a))) c) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 (neg.f64 a) (*.f64 c c))) c) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (*.f64 b_2 (neg.f64 a)))) c) a) |
Compiled 19 to 13 computations (31.6% saved)
| 1× | egg-herbie |
| 808× | fma-neg_binary64 |
| 368× | associate-/l*_binary64 |
| 362× | div-sub_binary64 |
| 341× | fma-def_binary64 |
| 222× | times-frac_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 20 |
| 1 | 23 | 18 |
| 2 | 42 | 18 |
| 3 | 77 | 18 |
| 4 | 123 | 18 |
| 5 | 218 | 18 |
| 6 | 370 | 18 |
| 7 | 586 | 18 |
| 8 | 957 | 18 |
| 9 | 1474 | 18 |
| 10 | 2004 | 18 |
| 11 | 3234 | 18 |
| 12 | 4125 | 18 |
| 13 | 4595 | 18 |
| 14 | 4603 | 18 |
| 15 | 4611 | 18 |
| 16 | 4637 | 18 |
| 17 | 4653 | 18 |
| 18 | 4689 | 18 |
| 19 | 4719 | 18 |
| 20 | 4731 | 18 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a) |
Compiled 28 to 16 computations (42.9% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 35.5b | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
Compiled 16 to 10 computations (37.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| ✓ | 0.4b | (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
| ✓ | 1.7b | (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) |
| ✓ | 26.5b | (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) |
Compiled 53 to 10 computations (81.1% saved)
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | b_2 | @ | inf | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| 2.0ms | a | @ | inf | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| 2.0ms | b_2 | @ | 0 | (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) |
| 1.0ms | c | @ | inf | (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) |
| 1.0ms | a | @ | inf | (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) |
| 1× | batch-egg-rewrite |
| 680× | fma-def_binary64 |
| 610× | log-prod_binary64 |
| 351× | fma-neg_binary64 |
| 312× | pow2_binary64 |
| 213× | pow1/3_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 59 |
| 1 | 258 | 55 |
| 2 | 3917 | 52 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) |
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2))) (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3))) (sqrt.f64 (fma.f64 (*.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c)) (pow.f64 b_2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) (sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 a c))) (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) 0) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 2) (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)) (/.f64 1 (fma.f64 b_2 b_2 (-.f64 (*.f64 b_2 b_2) (fma.f64 a c (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 b_2 b_2 (*.f64 b_2 b_2)) (*.f64 a c)) (/.f64 1 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b_2 b_2 (-.f64 (*.f64 b_2 b_2) (fma.f64 a c (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (+.f64 (fma.f64 b_2 b_2 (*.f64 b_2 b_2)) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)) (fma.f64 b_2 b_2 (-.f64 (*.f64 b_2 b_2) (fma.f64 a c (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)) (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (fma.f64 b_2 b_2 (*.f64 b_2 b_2)) (*.f64 a c)) (-.f64 b_2 (hypot.f64 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(neg.f64 c)))))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 3) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 1)))))) |
| 1× | egg-herbie |
| 985× | times-frac_binary64 |
| 814× | fma-def_binary64 |
| 759× | associate-*l*_binary64 |
| 658× | associate-/l*_binary64 |
| 567× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 178 | 2424 |
| 1 | 561 | 2350 |
| 2 | 1936 | 2254 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))) |
b_2 |
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(*.f64 -1 b_2) |
(+.f64 (*.f64 -1 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))))) |
b_2 |
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
b_2 |
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1 b_2) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (pow.f64 b_2 7))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(*.f64 -2 b_2) |
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (*.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (pow.f64 a 4)) b_2)) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6))) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) 2))) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(*.f64 -1 (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(pow.f64 b_2 2) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(pow.f64 b_2 2) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(pow.f64 b_2 2) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(*.f64 -1 (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(*.f64 -1 (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(pow.f64 b_2 2) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(*.f64 -1 (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(*.f64 -1 (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (*.f64 -1 (/.f64 b_2 a)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (*.f64 -1 (/.f64 b_2 a))))) |
(*.f64 -1/2 (/.f64 c b_2)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (*.f64 a (pow.f64 b_2 7)))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))) |
(*.f64 -2 (/.f64 b_2 a)) |
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2))) |
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 c b_2)))) |
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 c b_2))))) |
(*.f64 -1/2 (/.f64 c b_2)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (*.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (pow.f64 a 3)) b_2)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))) |
(*.f64 -1/2 (/.f64 c b_2)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6))) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) 2))) (*.f64 a b_2))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)))))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (*.f64 1/8 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/8 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4))))))) |
b_2 |
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) |
(fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)) |
(fma.f64 -1/8 (*.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (*.f64 c c)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))) |
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2))) |
(fma.f64 -1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (fma.f64 -1/8 (*.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (*.f64 c c)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2))) |
(*.f64 -1 b_2) |
(neg.f64 b_2) |
(+.f64 (*.f64 -1 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) |
(fma.f64 -1 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a)))) |
(-.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) b_2) |
(fma.f64 1/2 (/.f64 (*.f64 c a) b_2) (neg.f64 b_2)) |
(+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))) |
(fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))) |
(-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) 1/8 (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) b_2) |
(fma.f64 (*.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (*.f64 c c)) 1/8 (fma.f64 1/2 (/.f64 (*.f64 c a) b_2) (neg.f64 b_2))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))))) |
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (*.f64 1/2 (/.f64 c (/.f64 b_2 a)))))) |
(fma.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) 1/8 (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) b_2)) |
(fma.f64 1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (fma.f64 (*.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (*.f64 c c)) 1/8 (fma.f64 1/2 (/.f64 (*.f64 c a) b_2) (neg.f64 b_2)))) |
b_2 |
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) |
(fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)) |
(fma.f64 -1/8 (*.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (*.f64 c c)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))) |
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2))) |
(fma.f64 -1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (fma.f64 -1/8 (*.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (*.f64 c c)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2))) |
b_2 |
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) |
(fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)) |
(fma.f64 -1/8 (*.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (*.f64 c c)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))) |
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2))) |
(fma.f64 -1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (fma.f64 -1/8 (*.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (*.f64 c c)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2)) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (neg.f64 b_2)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1 b_2) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 -1 b_2 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (neg.f64 b_2))) |
(-.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))) b_2) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 -1 b_2 (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (-.f64 (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))))) b_2)) |
(-.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (*.f64 1/8 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))))) b_2) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(fma.f64 -1/8 (*.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (*.f64 c c)) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))) |
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(fma.f64 -1/8 (*.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (*.f64 c c)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) (*.f64 (/.f64 -1/16 (pow.f64 b_2 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (pow.f64 b_2 7))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(fma.f64 -1/2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 a a))) 2)) (pow.f64 b_2 7)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))) |
(fma.f64 -1/2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 1/64)) (pow.f64 b_2 7)) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 5/64) (pow.f64 b_2 7)) (fma.f64 -1/8 (*.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (*.f64 c c)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) (*.f64 (/.f64 -1/16 (pow.f64 b_2 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))) |
(*.f64 -2 b_2) |
(*.f64 b_2 -2) |
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) |
(fma.f64 -2 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a)))) |
(fma.f64 1/2 (/.f64 (*.f64 c a) b_2) (*.f64 b_2 -2)) |
(+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))) |
(fma.f64 -2 b_2 (fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))) |
(fma.f64 b_2 -2 (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) 1/8 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))) |
(fma.f64 1/2 (/.f64 (*.f64 c a) b_2) (fma.f64 b_2 -2 (*.f64 (/.f64 1/8 (pow.f64 b_2 3)) (*.f64 c (*.f64 c (*.f64 a a)))))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))))) |
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -2 b_2 (fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (*.f64 1/2 (/.f64 c (/.f64 b_2 a)))))) |
(fma.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 b_2 -2 (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) 1/8 (*.f64 1/2 (/.f64 (*.f64 c a) b_2))))) |
(fma.f64 1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (fma.f64 1/2 (/.f64 (*.f64 c a) b_2) (fma.f64 b_2 -2 (*.f64 (/.f64 1/8 (pow.f64 b_2 3)) (*.f64 c (*.f64 c (*.f64 a a))))))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(fma.f64 -1/8 (*.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (*.f64 c c)) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))) |
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(fma.f64 -1/8 (*.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (*.f64 c c)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) (*.f64 (/.f64 -1/16 (pow.f64 b_2 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (*.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (pow.f64 a 4)) b_2)) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (*.f64 -1/2 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (/.f64 (*.f64 c c) (pow.f64 b_2 3))) 2) (*.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (/.f64 b_2 (pow.f64 a 4))) (/.f64 c (/.f64 b_2 a)))))) |
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) (*.f64 -1/2 (+.f64 (/.f64 (*.f64 c a) b_2) (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 1/64)) (/.f64 b_2 (pow.f64 a 4))))))) |
(fma.f64 -1/8 (*.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (*.f64 c c)) (fma.f64 -1/2 (fma.f64 (/.f64 c b_2) a (*.f64 (/.f64 (pow.f64 a 4) b_2) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 5/64))) (*.f64 (/.f64 -1/16 (pow.f64 b_2 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(fma.f64 -1/8 (*.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (*.f64 c c)) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))) |
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(fma.f64 -1/8 (*.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (*.f64 c c)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) (*.f64 (/.f64 -1/16 (pow.f64 b_2 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6))) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) 2))) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (*.f64 -1/2 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (/.f64 (*.f64 c c) (pow.f64 b_2 3))) 2) (*.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (/.f64 b_2 (pow.f64 a 4))) (/.f64 c (/.f64 b_2 a)))))) |
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) (*.f64 -1/2 (+.f64 (/.f64 (*.f64 c a) b_2) (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 1/64)) (/.f64 b_2 (pow.f64 a 4))))))) |
(fma.f64 -1/8 (*.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (*.f64 c c)) (fma.f64 -1/2 (fma.f64 (/.f64 c b_2) a (*.f64 (/.f64 (pow.f64 a 4) b_2) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 5/64))) (*.f64 (/.f64 -1/16 (pow.f64 b_2 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 c (neg.f64 a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(pow.f64 b_2 2) |
(*.f64 b_2 b_2) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(pow.f64 b_2 2) |
(*.f64 b_2 b_2) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(pow.f64 b_2 2) |
(*.f64 b_2 b_2) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 c (neg.f64 a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 c (neg.f64 a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(pow.f64 b_2 2) |
(*.f64 b_2 b_2) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 c (neg.f64 a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 c (neg.f64 a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a)) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b_2) a)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (*.f64 -1 (/.f64 b_2 a)))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (/.f64 (neg.f64 b_2) a))) |
(-.f64 (fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (*.f64 (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)) 1/2))) (/.f64 b_2 a)) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (*.f64 (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2) 1/2) (fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b_2) a))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (*.f64 -1 (/.f64 b_2 a))))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5))))) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (/.f64 (neg.f64 b_2) a)))) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5))))) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (*.f64 (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)) 1/2)) (/.f64 b_2 a)))) |
(-.f64 (fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (fma.f64 1/2 (*.f64 (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 1/8 (/.f64 (pow.f64 b_2 4) (/.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5))))))))) (/.f64 b_2 a)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 c -1/2) b_2) |
(*.f64 (/.f64 -1/2 b_2) c) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (*.f64 -1/2 (/.f64 c b_2))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (/.f64 (*.f64 c -1/2) b_2)) |
(fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (*.f64 (/.f64 -1/2 b_2) c)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (*.f64 -1/2 (/.f64 c b_2)))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a a)) (/.f64 (*.f64 c -1/2) b_2))) |
(fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (fma.f64 -1/2 (/.f64 c b_2) (*.f64 (/.f64 -1/16 (pow.f64 b_2 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (*.f64 a (pow.f64 b_2 7)))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 a a))) 2)) (*.f64 a (pow.f64 b_2 7))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (*.f64 -1/2 (/.f64 c b_2))))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 1/64)) (*.f64 a (pow.f64 b_2 7))) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a a)) (/.f64 (*.f64 c -1/2) b_2)))) |
(fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a a)) (*.f64 -1/2 (+.f64 (/.f64 c b_2) (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 5/64) (*.f64 a (pow.f64 b_2 7))))))) |
(*.f64 -2 (/.f64 b_2 a)) |
(/.f64 b_2 (/.f64 a -2)) |
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2))) |
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2))) |
(fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a))) |
(fma.f64 1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a -2))) |
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 c b_2)))) |
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (*.f64 1/2 (/.f64 c b_2)))) |
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (*.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a))))) |
(fma.f64 1/2 (/.f64 c b_2) (fma.f64 1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (/.f64 b_2 (/.f64 a -2)))) |
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 c b_2))))) |
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (*.f64 1/2 (/.f64 c b_2))))) |
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a a)) (/.f64 (*.f64 c 1/2) b_2)))) |
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a a)) (*.f64 1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c))))) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 c -1/2) b_2) |
(*.f64 (/.f64 -1/2 b_2) c) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (*.f64 -1/2 (/.f64 c b_2))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (/.f64 (*.f64 c -1/2) b_2)) |
(fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (*.f64 (/.f64 -1/2 b_2) c)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (*.f64 -1/2 (/.f64 c b_2)))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a a)) (/.f64 (*.f64 c -1/2) b_2))) |
(fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (fma.f64 -1/2 (/.f64 c b_2) (*.f64 (/.f64 -1/16 (pow.f64 b_2 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (*.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (pow.f64 a 3)) b_2)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (/.f64 (*.f64 c c) (pow.f64 b_2 3))) 2) (*.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (/.f64 b_2 (pow.f64 a 3))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (*.f64 -1/2 (/.f64 c b_2))))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 1/64)) (/.f64 b_2 (pow.f64 a 3))) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a a)) (/.f64 (*.f64 c -1/2) b_2)))) |
(fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a a)) (*.f64 -1/2 (+.f64 (/.f64 c b_2) (*.f64 (/.f64 (pow.f64 a 3) b_2) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 5/64)))))) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 c -1/2) b_2) |
(*.f64 (/.f64 -1/2 b_2) c) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (*.f64 -1/2 (/.f64 c b_2))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (/.f64 (*.f64 c -1/2) b_2)) |
(fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (*.f64 (/.f64 -1/2 b_2) c)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (*.f64 -1/2 (/.f64 c b_2)))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a a)) (/.f64 (*.f64 c -1/2) b_2))) |
(fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (fma.f64 -1/2 (/.f64 c b_2) (*.f64 (/.f64 -1/16 (pow.f64 b_2 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6))) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) 2))) (*.f64 a b_2))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))) |
(fma.f64 -1/2 (/.f64 (pow.f64 c 4) (/.f64 (*.f64 a b_2) (fma.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) (pow.f64 (*.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 b_2 3))) 2)))) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (*.f64 -1/2 (/.f64 c b_2))))) |
(fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) 1/64)) a) (/.f64 (pow.f64 c 4) b_2)) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a a)) (/.f64 (*.f64 c -1/2) b_2)))) |
(fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 5/64)) (*.f64 a b_2)) (fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (fma.f64 -1/2 (/.f64 c b_2) (*.f64 (/.f64 -1/16 (pow.f64 b_2 5)) (*.f64 a (*.f64 a (pow.f64 c 3))))))) |
Compiled 9534 to 3329 computations (65.1% saved)
23 alts after pruning (22 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 376 | 22 | 398 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 376 | 23 | 399 |
| Status | Error | Program |
|---|---|---|
| 47.8b | (*.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) | |
| 46.5b | (/.f64 (+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) a) | |
| 35.5b | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))) a) | |
| ▶ | 45.8b | (*.f64 -2 (/.f64 b_2 a)) |
| 45.8b | (/.f64 (*.f64 b_2 -2) a) | |
| ▶ | 46.2b | (/.f64 (/.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a) |
| 50.9b | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a) | |
| 59.3b | (pow.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3) 1/3) | |
| 41.8b | (fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (*.f64 (/.f64 -1/2 b_2) c)) | |
| ▶ | 45.9b | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a) |
| 56.0b | (exp.f64 (log.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a))) | |
| 40.1b | (*.f64 (/.f64 -1/2 b_2) c) | |
| 40.0b | (*.f64 -1/2 (/.f64 c b_2)) | |
| ▶ | 45.4b | (/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a) |
| ✓ | 35.5b | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| 45.4b | (/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a) | |
| ▶ | 32.1b | (*.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a))) |
| 46.0b | (+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2))) | |
| 55.6b | (/.f64 (+.f64 (neg.f64 b_2) b_2) a) | |
| 36.7b | (/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2)) a) | |
| 48.1b | (pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3) | |
| 39.0b | (/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2))) a) | |
| 48.1b | (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (cbrt.f64 a))) |
Compiled 682 to 458 computations (32.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) |
| ✓ | 0.1b | (*.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a))) |
| ✓ | 0.7b | (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) |
| ✓ | 15.2b | (sqrt.f64 (*.f64 a (neg.f64 c))) |
Compiled 54 to 15 computations (72.2% saved)
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | a | @ | -inf | (*.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a))) |
| 5.0ms | c | @ | 0 | (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) |
| 4.0ms | a | @ | inf | (*.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a))) |
| 4.0ms | a | @ | inf | (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) |
| 4.0ms | a | @ | -inf | (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) |
| 1× | batch-egg-rewrite |
| 583× | log-prod_binary64 |
| 548× | prod-diff_binary64 |
| 293× | pow2_binary64 |
| 239× | fma-def_binary64 |
| 206× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 52 |
| 1 | 277 | 42 |
| 2 | 3805 | 42 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 a (neg.f64 c))) |
(-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) |
(*.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a))) |
(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) |
| Outputs |
|---|
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c)) b_2)) 3) (/.f64 (pow.f64 a -2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 a -2) a) (pow.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b_2 (/.f64 1 a) (*.f64 (neg.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 a) b_2 (*.f64 (/.f64 1 a) (neg.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) (cbrt.f64 (fma.f64 a c (*.f64 b_2 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a c (*.f64 b_2 b_2))) (cbrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) 1)))))) |
| 1× | egg-herbie |
| 949× | times-frac_binary64 |
| 679× | associate-/l*_binary64 |
| 653× | fma-def_binary64 |
| 506× | associate-/r*_binary64 |
| 330× | *-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 162 | 1598 |
| 1 | 496 | 1301 |
| 2 | 1905 | 1209 |
| 3 | 7450 | 1207 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))) |
(+.f64 b_2 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))) |
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 b_2 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))))) |
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 b_2 (+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))))) |
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (pow.f64 b_2 7))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))) |
(*.f64 2 b_2) |
(+.f64 (*.f64 2 b_2) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))) |
(+.f64 (*.f64 2 b_2) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (*.f64 2 b_2) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (*.f64 -1 (/.f64 b_2 a)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (*.f64 -1 (/.f64 b_2 a))))) |
(*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3)))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (*.f64 a (pow.f64 b_2 7)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5)))))) |
(*.f64 -2 (/.f64 b_2 a)) |
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5)))))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))) |
b_2 |
(+.f64 b_2 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))) |
(*.f64 -1 b_2) |
(+.f64 (*.f64 -1 b_2) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))) |
(+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))) |
(+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))) |
b_2 |
b_2 |
| Outputs |
|---|
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))) |
(neg.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -1))) |
(+.f64 b_2 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))) |
(+.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))) b_2) |
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -1) b_2) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -1)) b_2) |
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 b_2 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))))) |
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))) (+.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))) b_2)) |
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -1) b_2)) |
(-.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) b_2) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 -1/2 (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (fma.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -1)) b_2)) |
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 b_2 (+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))))) |
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))) (+.f64 b_2 (fma.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))))) |
(+.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -1) b_2)) (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 -1/2 (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (/.f64 (*.f64 (pow.f64 b_2 4) 1/8) (neg.f64 (sqrt.f64 -1))) (fma.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -1)) b_2))) |
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (fma.f64 -1/8 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4))) (fma.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -1)) b_2))) |
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2)) |
(/.f64 (*.f64 (*.f64 1/2 c) a) b_2) |
(*.f64 (/.f64 1/2 (/.f64 b_2 c)) a) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))) |
(fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a))) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2))) |
(fma.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a (*.f64 a 1))) (/.f64 (*.f64 (*.f64 1/2 c) a) b_2)) |
(fma.f64 1/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (*.f64 (/.f64 1/2 (/.f64 b_2 c)) a)) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))) |
(fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a))) (pow.f64 b_2 3)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6)))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2)))) |
(fma.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a (*.f64 a 1))) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 -1 (pow.f64 a 3))) (/.f64 (*.f64 (*.f64 1/2 c) a) b_2))) |
(fma.f64 1/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (neg.f64 (pow.f64 c 3)))) (*.f64 (/.f64 1/2 (/.f64 b_2 c)) a))) |
(fma.f64 1/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/16 (*.f64 (pow.f64 (neg.f64 a) 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (*.f64 (/.f64 1/2 (/.f64 b_2 c)) a))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (pow.f64 b_2 7))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))) |
(fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a))) (pow.f64 b_2 3)) (fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a))) -1/8) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (pow.f64 b_2 7)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6)))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2))))) |
(fma.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a (*.f64 a 1))) (fma.f64 1/2 (/.f64 (fma.f64 1/16 (*.f64 1 (*.f64 (pow.f64 a 4) (pow.f64 c 4))) (pow.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a (*.f64 a 1)) -1/8)) 2)) (pow.f64 b_2 7)) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 -1 (pow.f64 a 3))) (/.f64 (*.f64 (*.f64 1/2 c) a) b_2)))) |
(fma.f64 1/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 (pow.f64 c 4) 1/64) (*.f64 1/16 (pow.f64 c 4)))) (pow.f64 b_2 7)) (fma.f64 -1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (neg.f64 (pow.f64 c 3)))) (*.f64 (/.f64 1/2 (/.f64 b_2 c)) a)))) |
(fma.f64 1/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 (pow.f64 c 4) 1/64) (*.f64 1/16 (pow.f64 c 4)))) (pow.f64 b_2 7)) (fma.f64 -1/16 (*.f64 (pow.f64 (neg.f64 a) 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (*.f64 (/.f64 1/2 (/.f64 b_2 c)) a)))) |
(*.f64 2 b_2) |
(*.f64 b_2 2) |
(+.f64 (*.f64 2 b_2) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))) |
(fma.f64 2 b_2 (*.f64 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2) 1/2)) |
(fma.f64 b_2 2 (/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)) |
(fma.f64 b_2 2 (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a)) |
(+.f64 (*.f64 2 b_2) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))) |
(fma.f64 2 b_2 (fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a))) (pow.f64 b_2 3)) (*.f64 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2) 1/2))) |
(fma.f64 b_2 2 (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a (*.f64 a 1))) -1/8 (/.f64 (*.f64 (*.f64 -1/2 c) a) b_2))) |
(fma.f64 b_2 2 (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) -1/8 (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (*.f64 2 b_2) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))) |
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6)))) (fma.f64 2 b_2 (fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a))) (pow.f64 b_2 3)) (*.f64 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2) 1/2)))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 -1 (pow.f64 a 3))) 1/16 (fma.f64 b_2 2 (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a (*.f64 a 1))) -1/8 (/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)))) |
(fma.f64 b_2 2 (fma.f64 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (neg.f64 (pow.f64 c 3)))) 1/16 (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) -1/8 (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a)))) |
(fma.f64 b_2 2 (fma.f64 (*.f64 (pow.f64 (neg.f64 a) 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) 1/16 (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) -1/8 (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a)))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a)) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b_2) a)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (*.f64 -1 (/.f64 b_2 a)))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (/.f64 (neg.f64 b_2) a))) |
(-.f64 (fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)) (*.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))))) (/.f64 b_2 a)) |
(-.f64 (fma.f64 (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2) (*.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)))) (/.f64 b_2 a)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (*.f64 -1 (/.f64 b_2 a))))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5))))) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (/.f64 (neg.f64 b_2) a)))) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (-.f64 (fma.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1))) (*.f64 (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)) (*.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))))) (/.f64 b_2 a))) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (fma.f64 (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2) (*.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (-.f64 (*.f64 1/8 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))) (/.f64 b_2 a)))) |
(*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) |
(*.f64 1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)))) |
(/.f64 (*.f64 -1/2 c) b_2) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3)))) |
(fma.f64 1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a 1)) (/.f64 (*.f64 -1/2 c) b_2)) |
(fma.f64 -1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (/.f64 -1/2 (/.f64 b_2 c))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))) |
(fma.f64 1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1) 6))))))) |
(+.f64 (/.f64 (*.f64 -1/2 c) b_2) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a 1)) (/.f64 (*.f64 1/16 (*.f64 (pow.f64 c 3) (*.f64 a (*.f64 -1 a)))) (pow.f64 b_2 5)))) |
(fma.f64 -1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 1/16 (*.f64 (*.f64 a (neg.f64 a)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (/.f64 -1/2 (/.f64 b_2 c)))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (*.f64 a (pow.f64 b_2 7)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5)))))) |
(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a))) -1/8) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (*.f64 a (pow.f64 b_2 7))) (fma.f64 1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1) 6)))))))) |
(fma.f64 -1/2 (/.f64 (fma.f64 1/16 (*.f64 1 (*.f64 (pow.f64 a 4) (pow.f64 c 4))) (pow.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a (*.f64 a 1)) -1/8)) 2)) (*.f64 a (pow.f64 b_2 7))) (+.f64 (/.f64 (*.f64 -1/2 c) b_2) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a 1)) (/.f64 (*.f64 1/16 (*.f64 (pow.f64 c 3) (*.f64 a (*.f64 -1 a)))) (pow.f64 b_2 5))))) |
(fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 (pow.f64 c 4) 1/64) (*.f64 1/16 (pow.f64 c 4)))) (*.f64 a (pow.f64 b_2 7))) (fma.f64 -1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 1/16 (*.f64 (*.f64 a (neg.f64 a)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (/.f64 -1/2 (/.f64 b_2 c))))) |
(*.f64 -2 (/.f64 b_2 a)) |
(/.f64 (*.f64 -2 b_2) a) |
(/.f64 (*.f64 b_2 -2) a) |
(*.f64 (/.f64 b_2 a) -2) |
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))) |
(fma.f64 -2 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))))) |
(fma.f64 (/.f64 b_2 a) -2 (/.f64 (*.f64 1/2 c) b_2)) |
(fma.f64 (/.f64 b_2 a) -2 (/.f64 1/2 (/.f64 b_2 c))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))) |
(fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (fma.f64 -2 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)))))) |
(fma.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a 1)) (fma.f64 (/.f64 b_2 a) -2 (/.f64 (*.f64 1/2 c) b_2))) |
(fma.f64 1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 (/.f64 b_2 a) -2 (/.f64 1/2 (/.f64 b_2 c)))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5)))))) |
(fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (fma.f64 -2 (/.f64 b_2 a) (fma.f64 -1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1) 6)))))))) |
(fma.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a 1)) (fma.f64 (/.f64 b_2 a) -2 (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a (*.f64 -1 a))) (/.f64 (*.f64 1/2 c) b_2)))) |
(fma.f64 1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/16 (*.f64 (*.f64 a (neg.f64 a)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 (/.f64 b_2 a) -2 (/.f64 1/2 (/.f64 b_2 c))))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))) 1/2)) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) 1/2 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2) 1/2))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))) 1/2))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1))) -1/8)))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2) 1/2) (*.f64 1/8 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 a 5) (pow.f64 c 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))) 1/2)))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 a 5) (pow.f64 c 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1))) -1/8))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2) 1/2) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 5))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/8 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4))))))) |
b_2 |
(+.f64 b_2 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))) |
(+.f64 b_2 (*.f64 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2) 1/2)) |
(+.f64 b_2 (/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)) |
(+.f64 b_2 (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))) |
(fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a))) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2) 1/2))) |
(+.f64 b_2 (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a (*.f64 a 1))) -1/8 (/.f64 (*.f64 (*.f64 -1/2 c) a) b_2))) |
(+.f64 b_2 (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) -1/8 (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))) |
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6)))) (fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a))) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2) 1/2)))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 -1 (pow.f64 a 3))) 1/16 (+.f64 b_2 (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a (*.f64 a 1))) -1/8 (/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)))) |
(+.f64 b_2 (fma.f64 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (neg.f64 (pow.f64 c 3)))) 1/16 (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) -1/8 (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a)))) |
(+.f64 b_2 (fma.f64 (*.f64 (pow.f64 (neg.f64 a) 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) 1/16 (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) -1/8 (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a)))) |
(*.f64 -1 b_2) |
(neg.f64 b_2) |
(+.f64 (*.f64 -1 b_2) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))) |
(fma.f64 -1 b_2 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2))) |
(-.f64 (/.f64 (*.f64 (*.f64 1/2 c) a) b_2) b_2) |
(-.f64 (*.f64 (/.f64 1/2 (/.f64 b_2 c)) a) b_2) |
(+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))) |
(fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a))) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2)))) |
(-.f64 (fma.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a (*.f64 a 1))) (/.f64 (*.f64 (*.f64 1/2 c) a) b_2)) b_2) |
(-.f64 (fma.f64 1/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (*.f64 (/.f64 1/2 (/.f64 b_2 c)) a)) b_2) |
(+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))) |
(fma.f64 -1 b_2 (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6)))) (fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a))) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2))))) |
(-.f64 (fma.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a (*.f64 a 1))) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 -1 (pow.f64 a 3))) (/.f64 (*.f64 (*.f64 1/2 c) a) b_2))) b_2) |
(fma.f64 -1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (neg.f64 (pow.f64 c 3)))) (-.f64 (fma.f64 1/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (*.f64 (/.f64 1/2 (/.f64 b_2 c)) a)) b_2)) |
(fma.f64 -1/16 (*.f64 (pow.f64 (neg.f64 a) 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (-.f64 (fma.f64 1/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (*.f64 (/.f64 1/2 (/.f64 b_2 c)) a)) b_2)) |
b_2 |
b_2 |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 -2 (/.f64 b_2 a)) |
Compiled 14 to 7 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b_2 | @ | 0 | (*.f64 -2 (/.f64 b_2 a)) |
| 1.0ms | b_2 | @ | inf | (*.f64 -2 (/.f64 b_2 a)) |
| 1.0ms | a | @ | inf | (*.f64 -2 (/.f64 b_2 a)) |
| 1.0ms | a | @ | 0 | (*.f64 -2 (/.f64 b_2 a)) |
| 0.0ms | b_2 | @ | -inf | (*.f64 -2 (/.f64 b_2 a)) |
| 1× | batch-egg-rewrite |
| 653× | pow1_binary64 |
| 606× | add-log-exp_binary64 |
| 606× | log1p-expm1-u_binary64 |
| 606× | expm1-log1p-u_binary64 |
| 594× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 127 | 7 |
| 2 | 1610 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -2 (/.f64 b_2 a)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 -2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 b_2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -2 b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 b_2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 b_2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b_2) -2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (neg.f64 b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (/.f64 b_2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
| ✓ | 4.1b | (/.f64 c (/.f64 b_2 a)) |
| ✓ | 7.3b | (/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a) |
Compiled 31 to 11 computations (64.5% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | c | @ | 0 | (/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a) |
| 1.0ms | a | @ | 0 | (/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a) |
| 1.0ms | c | @ | inf | (/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a) |
| 1.0ms | b_2 | @ | inf | (/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a) |
| 1.0ms | c | @ | 0 | (/.f64 c (/.f64 b_2 a)) |
| 1× | batch-egg-rewrite |
| 616× | log-prod_binary64 |
| 483× | exp-prod_binary64 |
| 309× | pow-prod-down_binary64 |
| 269× | pow2_binary64 |
| 230× | pow-unpow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 30 |
| 1 | 200 | 30 |
| 2 | 2970 | 30 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a) |
(/.f64 c (/.f64 b_2 a)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (/.f64 (*.f64 c (/.f64 a b_2)) a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (/.f64 (*.f64 c (/.f64 a b_2)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (/.f64 (*.f64 c (/.f64 a b_2)) a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (/.f64 (*.f64 c (/.f64 a b_2)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 (*.f64 c (/.f64 a b_2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 1 (*.f64 (/.f64 a c) (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (*.f64 c (/.f64 a b_2)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c (/.f64 a b_2)) (*.f64 -1/2 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))) 2) (*.f64 (cbrt.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 b_2 (*.f64 c a)) (/.f64 a -1/2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 b_2 (*.f64 c a)) (/.f64 a -1/2)) -2)) (cbrt.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))) (*.f64 (sqrt.f64 (*.f64 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(/.f64 -1/2 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (*.f64 c (/.f64 a b_2)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 c (/.f64 a b_2)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 -1/2 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 a) a) (/.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (sqrt.f64 a)) (/.f64 (*.f64 c (/.f64 a b_2)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 c (/.f64 a b_2)) (sqrt.f64 a)) (/.f64 -1/2 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1/2) (/.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 b_2 (*.f64 c a)) (/.f64 a -1/2)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 b_2 (*.f64 c a)) (/.f64 a -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)) 3) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 b_2 (*.f64 c a)) (/.f64 a -1/2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 b_2 (*.f64 c a)) (/.f64 a -1/2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (/.f64 (*.f64 c (/.f64 a b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 b_2 (*.f64 c a)) (/.f64 a -1/2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 c (/.f64 a b_2)) 1/2) (*.f64 (*.f64 c (/.f64 a b_2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b_2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c (/.f64 a b_2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (/.f64 c b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c (/.f64 a b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 c (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 c) 2) (*.f64 (cbrt.f64 c) (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 c (/.f64 a b_2))) (cbrt.f64 (pow.f64 (*.f64 c (/.f64 a b_2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 c (/.f64 a b_2)) 2)) (cbrt.f64 (*.f64 c (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c (/.f64 a b_2))) (sqrt.f64 (*.f64 c (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 c) (/.f64 1 (neg.f64 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a b_2) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c b_2) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) 1) (/.f64 (cbrt.f64 c) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) 1) (/.f64 (sqrt.f64 c) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) b_2) (/.f64 (sqrt.f64 c) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b_2) (/.f64 c (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) b_2) (/.f64 (cbrt.f64 c) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) -2) (/.f64 c (cbrt.f64 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (cbrt.f64 (*.f64 c (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (/.f64 (sqrt.f64 c) (cbrt.f64 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 b_2 a) -1/2) (/.f64 c (sqrt.f64 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (sqrt.f64 (/.f64 b_2 a))) (/.f64 (cbrt.f64 c) (sqrt.f64 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c 1) (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (neg.f64 b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c b_2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c b_2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (/.f64 a b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (/.f64 a b_2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b_2 (*.f64 c a)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c (/.f64 a b_2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c (/.f64 a b_2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b_2 (*.f64 c a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 c (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 c 3) (pow.f64 (/.f64 b_2 a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 b_2 (*.f64 c a)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 c (/.f64 a b_2)))) 2)) (cbrt.f64 (log.f64 (*.f64 c (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 c (/.f64 a b_2))))) (sqrt.f64 (log.f64 (*.f64 c (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 c (neg.f64 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 c (/.f64 a b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 c (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b_2 (*.f64 c a)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 (/.f64 b_2 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c (/.f64 a b_2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 b_2 (*.f64 c a)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 c (/.f64 a b_2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c (/.f64 a b_2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 b_2 (*.f64 c a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 c (/.f64 a b_2))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) (/.f64 c b_2)) -1/2)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) (/.f64 c b_2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) (/.f64 c b_2)) -1/2))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) (/.f64 c b_2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (/.f64 b_2 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 b_2 a) (*.f64 -1/2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 c) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -1/2 c)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 c) b_2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 c) 1) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 c) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (cbrt.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 c) (sqrt.f64 (/.f64 b_2 a))) (sqrt.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) -1/2) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (neg.f64 c)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (pow.f64 (*.f64 c (/.f64 a b_2)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 b_2 a) (*.f64 -1/2 c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 (*.f64 c (/.f64 a b_2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a) (/.f64 c b_2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))) 1) 1)))))) |
| 1× | egg-herbie |
| 15× | associate-/l*_binary64 |
| 12× | *-commutative_binary64 |
| 9× | associate-*l*_binary64 |
| 9× | associate-/r/_binary64 |
| 8× | associate-*r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 864 |
| 1 | 19 | 864 |
| 2 | 34 | 864 |
| 3 | 57 | 864 |
| 4 | 80 | 864 |
| 5 | 90 | 864 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 (*.f64 c a) b_2) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
| Outputs |
|---|
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 -1/2 c) b_2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 -1/2 c) b_2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 -1/2 c) b_2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 -1/2 c) b_2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 -1/2 c) b_2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 -1/2 c) b_2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 -1/2 c) b_2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 -1/2 c) b_2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 -1/2 c) b_2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 -1/2 c) b_2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 -1/2 c) b_2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 -1/2 c) b_2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 -1/2 c) b_2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 -1/2 c) b_2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 -1/2 c) b_2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 -1/2 c) b_2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 -1/2 c) b_2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 -1/2 c) b_2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 -1/2 c) b_2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 -1/2 c) b_2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 -1/2 c) b_2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 -1/2 c) b_2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 -1/2 c) b_2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 -1/2 c) b_2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 -1/2 c) b_2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 -1/2 c) b_2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 -1/2 c) b_2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 -1/2 c) b_2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 -1/2 c) b_2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 -1/2 c) b_2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 -1/2 c) b_2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 -1/2 c) b_2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 -1/2 c) b_2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 -1/2 c) b_2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 -1/2 c) b_2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 -1/2 c) b_2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 c (/.f64 b_2 a)) |
(*.f64 (/.f64 c b_2) a) |
(*.f64 (/.f64 a b_2) c) |
(*.f64 c (/.f64 a b_2)) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 c (/.f64 b_2 a)) |
(*.f64 (/.f64 c b_2) a) |
(*.f64 (/.f64 a b_2) c) |
(*.f64 c (/.f64 a b_2)) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 c (/.f64 b_2 a)) |
(*.f64 (/.f64 c b_2) a) |
(*.f64 (/.f64 a b_2) c) |
(*.f64 c (/.f64 a b_2)) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 c (/.f64 b_2 a)) |
(*.f64 (/.f64 c b_2) a) |
(*.f64 (/.f64 a b_2) c) |
(*.f64 c (/.f64 a b_2)) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 c (/.f64 b_2 a)) |
(*.f64 (/.f64 c b_2) a) |
(*.f64 (/.f64 a b_2) c) |
(*.f64 c (/.f64 a b_2)) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 c (/.f64 b_2 a)) |
(*.f64 (/.f64 c b_2) a) |
(*.f64 (/.f64 a b_2) c) |
(*.f64 c (/.f64 a b_2)) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 c (/.f64 b_2 a)) |
(*.f64 (/.f64 c b_2) a) |
(*.f64 (/.f64 a b_2) c) |
(*.f64 c (/.f64 a b_2)) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 c (/.f64 b_2 a)) |
(*.f64 (/.f64 c b_2) a) |
(*.f64 (/.f64 a b_2) c) |
(*.f64 c (/.f64 a b_2)) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 c (/.f64 b_2 a)) |
(*.f64 (/.f64 c b_2) a) |
(*.f64 (/.f64 a b_2) c) |
(*.f64 c (/.f64 a b_2)) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 c (/.f64 b_2 a)) |
(*.f64 (/.f64 c b_2) a) |
(*.f64 (/.f64 a b_2) c) |
(*.f64 c (/.f64 a b_2)) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 c (/.f64 b_2 a)) |
(*.f64 (/.f64 c b_2) a) |
(*.f64 (/.f64 a b_2) c) |
(*.f64 c (/.f64 a b_2)) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 c (/.f64 b_2 a)) |
(*.f64 (/.f64 c b_2) a) |
(*.f64 (/.f64 a b_2) c) |
(*.f64 c (/.f64 a b_2)) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 c (/.f64 b_2 a)) |
(*.f64 (/.f64 c b_2) a) |
(*.f64 (/.f64 a b_2) c) |
(*.f64 c (/.f64 a b_2)) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 c (/.f64 b_2 a)) |
(*.f64 (/.f64 c b_2) a) |
(*.f64 (/.f64 a b_2) c) |
(*.f64 c (/.f64 a b_2)) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 c (/.f64 b_2 a)) |
(*.f64 (/.f64 c b_2) a) |
(*.f64 (/.f64 a b_2) c) |
(*.f64 c (/.f64 a b_2)) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 c (/.f64 b_2 a)) |
(*.f64 (/.f64 c b_2) a) |
(*.f64 (/.f64 a b_2) c) |
(*.f64 c (/.f64 a b_2)) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 c (/.f64 b_2 a)) |
(*.f64 (/.f64 c b_2) a) |
(*.f64 (/.f64 a b_2) c) |
(*.f64 c (/.f64 a b_2)) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 c (/.f64 b_2 a)) |
(*.f64 (/.f64 c b_2) a) |
(*.f64 (/.f64 a b_2) c) |
(*.f64 c (/.f64 a b_2)) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 c (/.f64 b_2 a)) |
(*.f64 (/.f64 c b_2) a) |
(*.f64 (/.f64 a b_2) c) |
(*.f64 c (/.f64 a b_2)) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 c (/.f64 b_2 a)) |
(*.f64 (/.f64 c b_2) a) |
(*.f64 (/.f64 a b_2) c) |
(*.f64 c (/.f64 a b_2)) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 c (/.f64 b_2 a)) |
(*.f64 (/.f64 c b_2) a) |
(*.f64 (/.f64 a b_2) c) |
(*.f64 c (/.f64 a b_2)) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 c (/.f64 b_2 a)) |
(*.f64 (/.f64 c b_2) a) |
(*.f64 (/.f64 a b_2) c) |
(*.f64 c (/.f64 a b_2)) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 c (/.f64 b_2 a)) |
(*.f64 (/.f64 c b_2) a) |
(*.f64 (/.f64 a b_2) c) |
(*.f64 c (/.f64 a b_2)) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 c (/.f64 b_2 a)) |
(*.f64 (/.f64 c b_2) a) |
(*.f64 (/.f64 a b_2) c) |
(*.f64 c (/.f64 a b_2)) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 c (/.f64 b_2 a)) |
(*.f64 (/.f64 c b_2) a) |
(*.f64 (/.f64 a b_2) c) |
(*.f64 c (/.f64 a b_2)) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 c (/.f64 b_2 a)) |
(*.f64 (/.f64 c b_2) a) |
(*.f64 (/.f64 a b_2) c) |
(*.f64 c (/.f64 a b_2)) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 c (/.f64 b_2 a)) |
(*.f64 (/.f64 c b_2) a) |
(*.f64 (/.f64 a b_2) c) |
(*.f64 c (/.f64 a b_2)) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 c (/.f64 b_2 a)) |
(*.f64 (/.f64 c b_2) a) |
(*.f64 (/.f64 a b_2) c) |
(*.f64 c (/.f64 a b_2)) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 c (/.f64 b_2 a)) |
(*.f64 (/.f64 c b_2) a) |
(*.f64 (/.f64 a b_2) c) |
(*.f64 c (/.f64 a b_2)) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 c (/.f64 b_2 a)) |
(*.f64 (/.f64 c b_2) a) |
(*.f64 (/.f64 a b_2) c) |
(*.f64 c (/.f64 a b_2)) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 c (/.f64 b_2 a)) |
(*.f64 (/.f64 c b_2) a) |
(*.f64 (/.f64 a b_2) c) |
(*.f64 c (/.f64 a b_2)) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 c (/.f64 b_2 a)) |
(*.f64 (/.f64 c b_2) a) |
(*.f64 (/.f64 a b_2) c) |
(*.f64 c (/.f64 a b_2)) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 c (/.f64 b_2 a)) |
(*.f64 (/.f64 c b_2) a) |
(*.f64 (/.f64 a b_2) c) |
(*.f64 c (/.f64 a b_2)) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 c (/.f64 b_2 a)) |
(*.f64 (/.f64 c b_2) a) |
(*.f64 (/.f64 a b_2) c) |
(*.f64 c (/.f64 a b_2)) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 c (/.f64 b_2 a)) |
(*.f64 (/.f64 c b_2) a) |
(*.f64 (/.f64 a b_2) c) |
(*.f64 c (/.f64 a b_2)) |
(/.f64 (*.f64 c a) b_2) |
(/.f64 c (/.f64 b_2 a)) |
(*.f64 (/.f64 c b_2) a) |
(*.f64 (/.f64 a b_2) c) |
(*.f64 c (/.f64 a b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) |
(*.f64 -1/2 (*.f64 c (/.f64 a b_2))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) |
(*.f64 -1/2 (*.f64 c (/.f64 a b_2))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) |
(*.f64 -1/2 (*.f64 c (/.f64 a b_2))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) |
(*.f64 -1/2 (*.f64 c (/.f64 a b_2))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) |
(*.f64 -1/2 (*.f64 c (/.f64 a b_2))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) |
(*.f64 -1/2 (*.f64 c (/.f64 a b_2))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) |
(*.f64 -1/2 (*.f64 c (/.f64 a b_2))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) |
(*.f64 -1/2 (*.f64 c (/.f64 a b_2))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) |
(*.f64 -1/2 (*.f64 c (/.f64 a b_2))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) |
(*.f64 -1/2 (*.f64 c (/.f64 a b_2))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) |
(*.f64 -1/2 (*.f64 c (/.f64 a b_2))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) |
(*.f64 -1/2 (*.f64 c (/.f64 a b_2))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) |
(*.f64 -1/2 (*.f64 c (/.f64 a b_2))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) |
(*.f64 -1/2 (*.f64 c (/.f64 a b_2))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) |
(*.f64 -1/2 (*.f64 c (/.f64 a b_2))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) |
(*.f64 -1/2 (*.f64 c (/.f64 a b_2))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) |
(*.f64 -1/2 (*.f64 c (/.f64 a b_2))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) |
(*.f64 -1/2 (*.f64 c (/.f64 a b_2))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) |
(*.f64 -1/2 (*.f64 c (/.f64 a b_2))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) |
(*.f64 -1/2 (*.f64 c (/.f64 a b_2))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) |
(*.f64 -1/2 (*.f64 c (/.f64 a b_2))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) |
(*.f64 -1/2 (*.f64 c (/.f64 a b_2))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) |
(*.f64 -1/2 (*.f64 c (/.f64 a b_2))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) |
(*.f64 -1/2 (*.f64 c (/.f64 a b_2))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) |
(*.f64 -1/2 (*.f64 c (/.f64 a b_2))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) |
(*.f64 -1/2 (*.f64 c (/.f64 a b_2))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) |
(*.f64 -1/2 (*.f64 c (/.f64 a b_2))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) |
(*.f64 -1/2 (*.f64 c (/.f64 a b_2))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) |
(*.f64 -1/2 (*.f64 c (/.f64 a b_2))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) |
(*.f64 -1/2 (*.f64 c (/.f64 a b_2))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) |
(*.f64 -1/2 (*.f64 c (/.f64 a b_2))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) |
(*.f64 -1/2 (*.f64 c (/.f64 a b_2))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) |
(*.f64 -1/2 (*.f64 c (/.f64 a b_2))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) |
(*.f64 -1/2 (*.f64 c (/.f64 a b_2))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) |
(*.f64 -1/2 (*.f64 c (/.f64 a b_2))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c)) |
(*.f64 -1/2 (*.f64 c (/.f64 a b_2))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) |
| ✓ | 0.1b | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a) |
| ✓ | 15.2b | (sqrt.f64 (*.f64 c (neg.f64 a))) |
Compiled 37 to 9 computations (75.7% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | b_2 | @ | inf | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a) |
| 2.0ms | a | @ | -inf | (sqrt.f64 (*.f64 c (neg.f64 a))) |
| 1.0ms | a | @ | inf | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a) |
| 1.0ms | a | @ | -inf | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a) |
| 1.0ms | c | @ | inf | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a) |
| 1× | batch-egg-rewrite |
| 484× | log-prod_binary64 |
| 362× | exp-prod_binary64 |
| 324× | pow-prod-down_binary64 |
| 300× | fma-def_binary64 |
| 236× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 37 |
| 1 | 220 | 27 |
| 2 | 3331 | 27 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 c (neg.f64 a))) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a) |
(+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 c a)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 c a))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 c a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 c a)) (pow.f64 (*.f64 c a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c a) 1/6) (cbrt.f64 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c a) 1/4) (pow.f64 (*.f64 c a) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c a) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c a) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c a) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c a)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c a) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c a) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c a) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 c a)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 c a))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 c a) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 c a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 c a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 c a)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 c a)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c a))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c a))) 3) 1/3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) a))))) (#(struct:change #<rule egg-rr> 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 a (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) a)) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (*.f64 c a)) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 b_2 (sqrt.f64 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b_2 b_2) (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)) (/.f64 (*.f64 c a) (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) 0) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)) (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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1/4))))))) |
| 1× | egg-herbie |
| 442× | fma-def_binary64 |
| 298× | fma-neg_binary64 |
| 127× | div-sub_binary64 |
| 121× | times-frac_binary64 |
| 102× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 337 |
| 1 | 29 | 337 |
| 2 | 44 | 337 |
| 3 | 58 | 337 |
| 4 | 91 | 337 |
| 5 | 145 | 337 |
| 6 | 269 | 337 |
| 7 | 433 | 337 |
| 8 | 615 | 337 |
| 9 | 767 | 337 |
| 10 | 931 | 337 |
| 11 | 1021 | 337 |
| 12 | 1100 | 337 |
| 13 | 1120 | 337 |
| 14 | 1160 | 337 |
| 15 | 1280 | 337 |
| 16 | 1436 | 337 |
| 17 | 1683 | 337 |
| 18 | 2011 | 337 |
| 19 | 2276 | 337 |
| 20 | 2408 | 337 |
| 21 | 2430 | 337 |
| 22 | 2450 | 337 |
| 23 | 2460 | 337 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a))) |
(*.f64 -1 (/.f64 b_2 a)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a))) |
(*.f64 -1 (/.f64 b_2 a)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a))) |
(*.f64 -1 (/.f64 b_2 a)) |
(*.f64 -1 (/.f64 b_2 a)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2)) |
(*.f64 -1 b_2) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2)) |
(*.f64 -1 b_2) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2)) |
(*.f64 -1 b_2) |
(*.f64 -1 b_2) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a)) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a)) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a)) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a)) |
(*.f64 -1 (/.f64 b_2 a)) |
(/.f64 (neg.f64 b_2) a) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a)) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a)) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a)) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a)) |
(*.f64 -1 (/.f64 b_2 a)) |
(/.f64 (neg.f64 b_2) a) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a)) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a)) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a)) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a)) |
(*.f64 -1 (/.f64 b_2 a)) |
(/.f64 (neg.f64 b_2) a) |
(*.f64 -1 (/.f64 b_2 a)) |
(/.f64 (neg.f64 b_2) a) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 c a))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2)) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (neg.f64 b_2)) |
(-.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 c a))) b_2) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2)) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (neg.f64 b_2)) |
(-.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 c a))) b_2) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2)) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (neg.f64 b_2)) |
(-.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 c a))) b_2) |
(*.f64 -1 b_2) |
(neg.f64 b_2) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2)) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (neg.f64 b_2)) |
(-.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 c a))) b_2) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2)) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (neg.f64 b_2)) |
(-.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 c a))) b_2) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2)) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (neg.f64 b_2)) |
(-.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 c a))) b_2) |
(*.f64 -1 b_2) |
(neg.f64 b_2) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2)) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (neg.f64 b_2)) |
(-.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 c a))) b_2) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2)) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (neg.f64 b_2)) |
(-.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 c a))) b_2) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2)) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (neg.f64 b_2)) |
(-.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 c a))) b_2) |
(*.f64 -1 b_2) |
(neg.f64 b_2) |
(*.f64 -1 b_2) |
(neg.f64 b_2) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.7b | (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) |
| ✓ | 8.5b | (/.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) |
| 15.2b | (sqrt.f64 (*.f64 a (neg.f64 c))) | |
| ✓ | 19.6b | (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) |
Compiled 101 to 14 computations (86.1% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | c | @ | inf | (/.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) |
| 8.0ms | a | @ | -inf | (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) |
| 7.0ms | c | @ | -inf | (/.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) |
| 5.0ms | a | @ | inf | (/.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) |
| 4.0ms | a | @ | -inf | (/.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) |
| 1× | batch-egg-rewrite |
| 764× | log-prod_binary64 |
| 579× | fma-neg_binary64 |
| 256× | expm1-udef_binary64 |
| 256× | log1p-udef_binary64 |
| 212× | log-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 62 |
| 1 | 342 | 38 |
| 2 | 5364 | 38 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) |
(/.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) |
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b_2 b_2) (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b_2 b_2) (fma.f64 a c (*.f64 b_2 (neg.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b_2 b_2) (*.f64 -1 (fma.f64 b_2 b_2 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) 2)) (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 a c) (*.f64 b_2 (neg.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (*.f64 b_2 (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (*.f64 (*.f64 b_2 (neg.f64 b_2)) 1))))) 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| 1× | egg-herbie |
| 797× | associate-/l*_binary64 |
| 757× | fma-def_binary64 |
| 556× | associate-/r*_binary64 |
| 516× | *-commutative_binary64 |
| 313× | associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 162 | 1506 |
| 1 | 517 | 1224 |
| 2 | 2371 | 1129 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)))) |
(+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1))))) |
(+.f64 (*.f64 (pow.f64 b_2 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))))) (+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)))))) |
(+.f64 (*.f64 (pow.f64 b_2 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))))) (+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 b_2 3) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))))))) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1))))))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(+.f64 (*.f64 1/128 (/.f64 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4))) (pow.f64 b_2 7))) (+.f64 (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4))) (pow.f64 b_2 7))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))) |
(*.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) |
(+.f64 (*.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))) (pow.f64 b_2 3))))) |
(+.f64 (*.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))) (pow.f64 b_2 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3)))) (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))))))))) (pow.f64 b_2 5)))))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) b_2) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 b_2 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 b_2 (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))) |
(*.f64 2 b_2) |
(+.f64 (*.f64 2 b_2) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))) |
(+.f64 (*.f64 2 b_2) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (*.f64 2 b_2) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))) |
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (pow.f64 b_2 7))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))) |
(*.f64 2 b_2) |
(*.f64 2 b_2) |
| Outputs |
|---|
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 a (neg.f64 c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 a (neg.f64 c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 a (neg.f64 c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 a (neg.f64 c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 a (neg.f64 c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 a (neg.f64 c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 a (neg.f64 c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 a (neg.f64 c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 a (neg.f64 c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 a (neg.f64 c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 a (neg.f64 c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 a (neg.f64 c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 a (neg.f64 c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 a (neg.f64 c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 a (neg.f64 c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 a (neg.f64 c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 a (neg.f64 c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 a (neg.f64 c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 a (neg.f64 c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 a (neg.f64 c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 a (neg.f64 c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 a (neg.f64 c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 a (neg.f64 c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 a (neg.f64 c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 a (neg.f64 c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 a (neg.f64 c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 a (neg.f64 c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 a (neg.f64 c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 a (neg.f64 c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 a (neg.f64 c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 a (neg.f64 c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 a (neg.f64 c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 a (neg.f64 c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 a (neg.f64 c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 a (neg.f64 c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(*.f64 a (neg.f64 c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)))) |
(neg.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)))) |
(/.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -1)) |
(/.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -1))) |
(+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1))))) |
(+.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)))) (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) |
(-.f64 (/.f64 b_2 -1) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))) |
(+.f64 (*.f64 (pow.f64 b_2 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))))) (+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)))))) |
(fma.f64 (*.f64 b_2 b_2) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) (+.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)))) (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)))) |
(fma.f64 (*.f64 b_2 b_2) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (*.f64 (/.f64 -1 (sqrt.f64 -1)) -1/2)) (-.f64 (/.f64 b_2 -1) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))) |
(-.f64 (fma.f64 (*.f64 b_2 b_2) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1/2 (sqrt.f64 -1))) (/.f64 b_2 -1)) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))) |
(+.f64 (*.f64 (pow.f64 b_2 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))))) (+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 b_2 3) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))))))) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1))))))) |
(fma.f64 (*.f64 b_2 b_2) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) (+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 -1 (+.f64 (*.f64 (pow.f64 b_2 3) (-.f64 (/.f64 1/2 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) (sqrt.f64 -1)))))) (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1))))))) |
(fma.f64 (*.f64 b_2 b_2) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (*.f64 (/.f64 -1 (sqrt.f64 -1)) -1/2)) (fma.f64 -1 (fma.f64 (pow.f64 b_2 3) (+.f64 (/.f64 1/2 (*.f64 c (*.f64 a 1))) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 -1 (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) -1/2)))) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))) (/.f64 b_2 -1))) |
(-.f64 (fma.f64 (*.f64 b_2 b_2) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1/2 (sqrt.f64 -1))) (/.f64 b_2 -1)) (fma.f64 (pow.f64 b_2 3) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) -1/2) 1) (/.f64 1/2 (*.f64 c a))) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 (*.f64 -1/2 c) (/.f64 b_2 a)) |
(*.f64 (/.f64 (*.f64 c -1/2) b_2) a) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a a))) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) |
(fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) (*.f64 1/8 (/.f64 (*.f64 (*.f64 a a) (*.f64 c (neg.f64 c))) (pow.f64 b_2 3)))) |
(fma.f64 -1/2 (*.f64 a (/.f64 c b_2)) (*.f64 (/.f64 1/8 (pow.f64 b_2 3)) (*.f64 a (*.f64 a (*.f64 c (neg.f64 c)))))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3)))) (fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a a))) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))) |
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 1 (pow.f64 a 3))) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) (*.f64 1/8 (/.f64 (*.f64 (*.f64 a a) (*.f64 c (neg.f64 c))) (pow.f64 b_2 3))))) |
(fma.f64 -1/2 (*.f64 a (/.f64 c b_2)) (fma.f64 1/8 (*.f64 (*.f64 a (neg.f64 a)) (/.f64 c (/.f64 (pow.f64 b_2 3) c))) (/.f64 (*.f64 (pow.f64 c 3) (*.f64 -1/16 (pow.f64 a 3))) (pow.f64 b_2 5)))) |
(+.f64 (*.f64 1/128 (/.f64 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4))) (pow.f64 b_2 7))) (+.f64 (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4))) (pow.f64 b_2 7))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))) |
(fma.f64 1/128 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b_2 7) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4)))) (fma.f64 1/32 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b_2 7) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4)))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3)))) (fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a a))) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))) |
(+.f64 (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 1 (pow.f64 a 3))) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) (*.f64 1/8 (/.f64 (*.f64 (*.f64 a a) (*.f64 c (neg.f64 c))) (pow.f64 b_2 3))))) (*.f64 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 7)) (*.f64 -1 (pow.f64 a 4))) 5/128)) |
(fma.f64 (*.f64 (neg.f64 (pow.f64 a 4)) (/.f64 (pow.f64 c 4) (pow.f64 b_2 7))) 5/128 (fma.f64 -1/2 (*.f64 a (/.f64 c b_2)) (fma.f64 1/8 (*.f64 (*.f64 a (neg.f64 a)) (/.f64 c (/.f64 (pow.f64 b_2 3) c))) (/.f64 (*.f64 (pow.f64 c 3) (*.f64 -1/16 (pow.f64 a 3))) (pow.f64 b_2 5))))) |
(*.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) |
(/.f64 b_2 -1/2) |
(*.f64 -2 b_2) |
(+.f64 (*.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) |
(fma.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 1/2 (/.f64 c (/.f64 b_2 a)))) |
(fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (/.f64 b_2 -1/2)) |
(fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (*.f64 -2 b_2)) |
(+.f64 (*.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))) (pow.f64 b_2 3))))) |
(fma.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a a))) 1/8) (pow.f64 b_2 3))))) |
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (/.f64 b_2 -1/2)) (*.f64 1/8 (/.f64 (*.f64 (*.f64 a a) (*.f64 c (neg.f64 c))) (pow.f64 b_2 3)))) |
(fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (+.f64 (*.f64 -2 b_2) (/.f64 (*.f64 1/8 (*.f64 c c)) (/.f64 (pow.f64 b_2 3) (*.f64 a a))))) |
(+.f64 (*.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))) (pow.f64 b_2 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3)))) (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))))))))) (pow.f64 b_2 5)))))) |
(fma.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (*.f64 -1 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a a))) 1/8) (pow.f64 b_2 3)) (/.f64 (fma.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -1) 8))))) (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (fma.f64 1/16 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3))) (*.f64 1/4 (*.f64 c (*.f64 (*.f64 a (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a a))) 1/8)))))) (pow.f64 b_2 5)))))) |
(+.f64 (/.f64 b_2 -1/2) (-.f64 (-.f64 (/.f64 1/2 (/.f64 b_2 (*.f64 c a))) (*.f64 1/8 (/.f64 (*.f64 (*.f64 a a) (*.f64 c (neg.f64 c))) (pow.f64 b_2 3)))) (/.f64 (fma.f64 -2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 1 (pow.f64 a 4))) (pow.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a (*.f64 a 1)) -1/8)) 2)) (*.f64 c (*.f64 a 1))) (fma.f64 (*.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/16 (*.f64 1/4 (*.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 c (neg.f64 c))) (*.f64 1/8 a)) (neg.f64 c))))) (pow.f64 b_2 5)))) |
(+.f64 (fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (*.f64 -2 b_2)) (-.f64 (/.f64 (*.f64 1/8 (*.f64 c c)) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (/.f64 (fma.f64 c (*.f64 1/4 (*.f64 (neg.f64 (pow.f64 a 3)) (*.f64 c (*.f64 c -1/8)))) (fma.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) 1/16) (*.f64 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 (pow.f64 c 4) 1/64) (*.f64 (pow.f64 c 4) 1/16))) c) (/.f64 -2 a)))) (pow.f64 b_2 5)))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 (*.f64 -1/2 c) (/.f64 b_2 a)) |
(*.f64 (/.f64 (*.f64 c -1/2) b_2) a) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(/.f64 (*.f64 -1/2 c) (/.f64 b_2 a)) |
(*.f64 (/.f64 (*.f64 c -1/2) b_2) a) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) b_2) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) b_2) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 b_2 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))) |
(+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) b_2) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 (/.f64 1 c) a))) (sqrt.f64 -1)) b_2)) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) b_2)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 b_2 (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))) |
(+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) b_2) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))) |
(+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) b_2) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 (/.f64 1 c) a))) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1))) -1/8)))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) (pow.f64 c 3))) (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (neg.f64 (sqrt.f64 -1)))) b_2))) |
(*.f64 2 b_2) |
(*.f64 b_2 2) |
(+.f64 (*.f64 2 b_2) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))) |
(fma.f64 2 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 (*.f64 a (pow.f64 (sqrt.f64 -1) 2)))))) |
(fma.f64 b_2 2 (*.f64 1/2 (/.f64 (*.f64 a (neg.f64 c)) b_2))) |
(fma.f64 b_2 2 (/.f64 (*.f64 a (*.f64 1/2 (neg.f64 c))) b_2)) |
(+.f64 (*.f64 2 b_2) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))) |
(fma.f64 2 b_2 (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a)))) (*.f64 1/2 (/.f64 c (/.f64 b_2 (*.f64 a (pow.f64 (sqrt.f64 -1) 2))))))) |
(fma.f64 b_2 2 (fma.f64 1/2 (/.f64 (*.f64 a (neg.f64 c)) b_2) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a (*.f64 a 1)))))) |
(fma.f64 b_2 2 (fma.f64 1/2 (*.f64 (neg.f64 a) (/.f64 c b_2)) (*.f64 (/.f64 (*.f64 c (*.f64 c -1/8)) (pow.f64 b_2 3)) (*.f64 a a)))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (*.f64 2 b_2) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))) |
(fma.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6))) (pow.f64 b_2 5)) (fma.f64 2 b_2 (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a)))) (*.f64 1/2 (/.f64 c (/.f64 b_2 (*.f64 a (pow.f64 (sqrt.f64 -1) 2)))))))) |
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 -1 (pow.f64 a 3)))) (fma.f64 b_2 2 (fma.f64 1/2 (/.f64 (*.f64 a (neg.f64 c)) b_2) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a (*.f64 a 1))))))) |
(fma.f64 b_2 2 (fma.f64 1/16 (*.f64 (neg.f64 (pow.f64 a 3)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 1/2 (*.f64 (neg.f64 a) (/.f64 c b_2)) (*.f64 (/.f64 (*.f64 c (*.f64 c -1/8)) (pow.f64 b_2 3)) (*.f64 a a))))) |
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 (*.f64 a (pow.f64 (sqrt.f64 -1) 2))))) |
(*.f64 -1/2 (/.f64 (*.f64 a (neg.f64 c)) b_2)) |
(/.f64 (*.f64 c -1/2) (/.f64 b_2 (neg.f64 a))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))) |
(fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a)))) (*.f64 -1/2 (/.f64 c (/.f64 b_2 (*.f64 a (pow.f64 (sqrt.f64 -1) 2)))))) |
(fma.f64 -1/2 (/.f64 (*.f64 a (neg.f64 c)) b_2) (*.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a (*.f64 a 1))))) |
(fma.f64 -1/2 (*.f64 (neg.f64 a) (/.f64 c b_2)) (/.f64 (*.f64 1/8 (*.f64 c c)) (/.f64 (pow.f64 b_2 3) (*.f64 a a)))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))) |
(fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a)))) (fma.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6))) (pow.f64 b_2 5)) (*.f64 -1/2 (/.f64 c (/.f64 b_2 (*.f64 a (pow.f64 (sqrt.f64 -1) 2))))))) |
(fma.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a (*.f64 a 1))) (fma.f64 -1/2 (/.f64 (*.f64 a (neg.f64 c)) b_2) (/.f64 -1/16 (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 c 3) (*.f64 -1 (pow.f64 a 3))))))) |
(fma.f64 -1/2 (*.f64 (neg.f64 a) (/.f64 c b_2)) (fma.f64 1/8 (*.f64 (*.f64 a a) (/.f64 c (/.f64 (pow.f64 b_2 3) c))) (*.f64 (/.f64 -1/16 (pow.f64 b_2 5)) (*.f64 (pow.f64 c 3) (neg.f64 (pow.f64 a 3)))))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (pow.f64 b_2 7))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))) |
(fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a)))) (fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -1) 8))))) (pow.f64 b_2 7)) (fma.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6))) (pow.f64 b_2 5)) (*.f64 -1/2 (/.f64 c (/.f64 b_2 (*.f64 a (pow.f64 (sqrt.f64 -1) 2)))))))) |
(fma.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a (*.f64 a 1))) (fma.f64 1/2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 1 (pow.f64 a 4))) (pow.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a (*.f64 a 1)) -1/8)) 2)) (pow.f64 b_2 7)) (fma.f64 -1/2 (/.f64 (*.f64 a (neg.f64 c)) b_2) (/.f64 -1/16 (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 c 3) (*.f64 -1 (pow.f64 a 3)))))))) |
(fma.f64 1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 (pow.f64 c 4) 1/64) (*.f64 (pow.f64 c 4) 1/16))) (pow.f64 b_2 7)) (fma.f64 -1/2 (*.f64 (neg.f64 a) (/.f64 c b_2)) (fma.f64 1/8 (*.f64 (*.f64 a a) (/.f64 c (/.f64 (pow.f64 b_2 3) c))) (*.f64 (/.f64 -1/16 (pow.f64 b_2 5)) (*.f64 (pow.f64 c 3) (neg.f64 (pow.f64 a 3))))))) |
(*.f64 2 b_2) |
(*.f64 b_2 2) |
(*.f64 2 b_2) |
(*.f64 b_2 2) |
Compiled 23819 to 7914 computations (66.8% saved)
43 alts after pruning (40 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1026 | 26 | 1052 |
| Fresh | 3 | 14 | 17 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 3 | 5 |
| Total | 1032 | 43 | 1075 |
| Status | Error | Program |
|---|---|---|
| 53.7b | (/.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)))) 1) a) | |
| 47.8b | (*.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) | |
| 46.5b | (/.f64 (+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) a) | |
| ▶ | 59.5b | (sqrt.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)) |
| ▶ | 35.5b | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))) a) |
| 45.2b | (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))) | |
| 45.8b | (/.f64 (*.f64 b_2 -2) a) | |
| 50.9b | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a) | |
| 46.1b | (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3) | |
| 43.0b | (*.f64 (/.f64 1 a) (*.f64 (/.f64 c b_2) (*.f64 a -1/2))) | |
| 60.7b | (pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3) | |
| ▶ | 59.2b | (/.f64 (neg.f64 b_2) a) |
| 51.1b | (/.f64 (exp.f64 (log.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)))) a) | |
| 59.3b | (pow.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3) 1/3) | |
| 41.8b | (fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (*.f64 (/.f64 -1/2 b_2) c)) | |
| ✓ | 45.9b | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a) |
| 53.5b | (/.f64 (*.f64 -1/2 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 c (/.f64 a b_2)))) 3))) a) | |
| 39.0b | (/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2))) a) | |
| 46.1b | (/.f64 (/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a)) | |
| 40.1b | (/.f64 -1/2 (/.f64 b_2 c)) | |
| 56.0b | (exp.f64 (log.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a))) | |
| 40.1b | (*.f64 (/.f64 -1/2 b_2) c) | |
| 45.8b | (*.f64 (*.f64 b_2 2) (/.f64 1 (neg.f64 a))) | |
| ✓ | 45.4b | (/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a) |
| 40.0b | (/.f64 c (/.f64 b_2 -1/2)) | |
| 46.1b | (/.f64 (fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (*.f64 -2 b_2)) a) | |
| 53.5b | (/.f64 (*.f64 -1/2 (exp.f64 (log.f64 (*.f64 c (/.f64 a b_2))))) a) | |
| ✓ | 35.5b | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| 43.0b | (/.f64 (/.f64 (/.f64 (*.f64 -1/2 c) b_2) (/.f64 1 a)) a) | |
| 57.0b | (exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a)))) | |
| 52.6b | (/.f64 (sqrt.f64 (*.f64 1/4 (pow.f64 (*.f64 c (/.f64 a b_2)) 2))) a) | |
| 48.1b | (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (cbrt.f64 a))) | |
| 51.0b | (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))))) | |
| 54.1b | (expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 b_2 a)))) | |
| 45.8b | (/.f64 -2 (/.f64 a b_2)) | |
| ▶ | 37.8b | (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a) |
| 45.4b | (/.f64 (/.f64 1 (/.f64 (/.f64 b_2 a) (*.f64 -1/2 c))) a) | |
| 47.0b | (-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1) | |
| 46.0b | (+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2))) | |
| ▶ | 46.8b | (*.f64 -1/2 (/.f64 1 (*.f64 (/.f64 a c) (/.f64 b_2 a)))) |
| 55.6b | (/.f64 (+.f64 (neg.f64 b_2) b_2) a) | |
| 46.2b | (expm1.f64 (log1p.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))))) | |
| 48.1b | (pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3) |
Compiled 1163 to 825 computations (29.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))) |
| ✓ | 1.7b | (+.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))) |
| ✓ | 26.5b | (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))) |
| ✓ | 53.6b | (fma.f64 a (neg.f64 c) (*.f64 a c)) |
Compiled 105 to 13 computations (87.6% saved)
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | a | @ | -inf | (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))) |
| 12.0ms | c | @ | -inf | (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))) |
| 2.0ms | a | @ | inf | (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))) |
| 2.0ms | b_2 | @ | 0 | (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))) |
| 2.0ms | c | @ | inf | (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))) |
| 1× | batch-egg-rewrite |
| 600× | fma-def_binary64 |
| 592× | log-prod_binary64 |
| 348× | fma-neg_binary64 |
| 322× | pow2_binary64 |
| 221× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 79 |
| 1 | 284 | 57 |
| 2 | 4119 | 57 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 a (neg.f64 c) (*.f64 a c)) |
(sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))) |
(+.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))) |
(+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a c) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (+.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 2)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 2))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a c) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 c c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (+.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (+.f64 c c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a (+.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (+.f64 c c))) (pow.f64 (cbrt.f64 (*.f64 a (+.f64 c c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 c c))) 2) (cbrt.f64 (*.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a (+.f64 c c))) (sqrt.f64 (*.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 a c) 3)) (+.f64 (pow.f64 (*.f64 a c) 2) (-.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 a c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 a c) 2)) (*.f64 a (+.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (+.f64 c c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (+.f64 c c)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (+.f64 c c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (+.f64 c c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (+.f64 c c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (+.f64 c c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (exp.f64 c) a) (pow.f64 (exp.f64 c) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 a c))) (pow.f64 (exp.f64 c) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (exp.f64 c) a) (+.f64 1 (expm1.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 a c))) (+.f64 1 (expm1.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a c))) (pow.f64 (exp.f64 c) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 c) a) (+.f64 1 (expm1.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a c))) (+.f64 1 (expm1.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (+.f64 c c)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 c c))) 1)))))) |
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b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (cbrt.f64 (*.f64 a c)) (fma.f64 a (+.f64 c c) (*.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) c) (fma.f64 a (+.f64 c c) (*.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))) 2) (*.f64 b_2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))) 2) (cbrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))) (*.f64 b_2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 c) 2) (*.f64 (cbrt.f64 c) a) (fma.f64 a (+.f64 c c) (*.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 (*.f64 a c)) (fma.f64 a (+.f64 c c) (*.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) c) (fma.f64 a (+.f64 c c) (*.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b_2) (*.f64 (sqrt.f64 b_2) b_2) (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))) (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))) (*.f64 b_2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) a) (fma.f64 a (+.f64 c c) (*.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 b_2 b_2) (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b_2 (sqrt.f64 b_2)) (sqrt.f64 b_2) (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b_2 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2) (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (fma.f64 a (+.f64 c c) (*.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 c)) (sqrt.f64 c) (fma.f64 a (+.f64 c c) (*.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (fma.f64 a (+.f64 c c) (*.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (sqrt.f64 a)) (sqrt.f64 a) (fma.f64 a (+.f64 c c) (*.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a -1) c (fma.f64 a (+.f64 c c) (*.f64 b_2 b_2))))))) |
| 1× | egg-herbie |
| 820× | fma-def_binary64 |
| 796× | distribute-rgt-in_binary64 |
| 775× | associate-/l*_binary64 |
| 751× | distribute-lft-in_binary64 |
| 638× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 184 | 1967 |
| 1 | 585 | 1596 |
| 2 | 2151 | 1528 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 a (+.f64 c (*.f64 -1 c))) |
(*.f64 a (+.f64 c (*.f64 -1 c))) |
(*.f64 a (+.f64 c (*.f64 -1 c))) |
(*.f64 a (+.f64 c (*.f64 -1 c))) |
(*.f64 a (+.f64 c (*.f64 -1 c))) |
(*.f64 a (+.f64 c (*.f64 -1 c))) |
(*.f64 a (+.f64 c (*.f64 -1 c))) |
(*.f64 a (+.f64 c (*.f64 -1 c))) |
(*.f64 -1 (*.f64 a (+.f64 c (*.f64 -1 c)))) |
(*.f64 -1 (*.f64 a (+.f64 c (*.f64 -1 c)))) |
(*.f64 -1 (*.f64 a (+.f64 c (*.f64 -1 c)))) |
(*.f64 -1 (*.f64 a (+.f64 c (*.f64 -1 c)))) |
(*.f64 c (+.f64 a (*.f64 -1 a))) |
(*.f64 c (+.f64 a (*.f64 -1 a))) |
(*.f64 c (+.f64 a (*.f64 -1 a))) |
(*.f64 c (+.f64 a (*.f64 -1 a))) |
(*.f64 c (+.f64 a (*.f64 -1 a))) |
(*.f64 c (+.f64 a (*.f64 -1 a))) |
(*.f64 c (+.f64 a (*.f64 -1 a))) |
(*.f64 c (+.f64 a (*.f64 -1 a))) |
(*.f64 -1 (*.f64 c (+.f64 a (*.f64 -1 a)))) |
(*.f64 -1 (*.f64 c (+.f64 a (*.f64 -1 a)))) |
(*.f64 -1 (*.f64 c (+.f64 a (*.f64 -1 a)))) |
(*.f64 -1 (*.f64 c (+.f64 a (*.f64 -1 a)))) |
(sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) |
(+.f64 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) (*.f64 1/2 (*.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))))))) |
(+.f64 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3))))) (*.f64 1/2 (*.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))))))))) |
(+.f64 (*.f64 1/16 (*.f64 (pow.f64 b_2 6) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 5))))) (+.f64 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3))))) (*.f64 1/2 (*.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))))))))) |
b_2 |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) b_2) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) b_2)) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 1/16 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3) (pow.f64 b_2 5)))))) |
(*.f64 -1 b_2) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (*.f64 -1 b_2)) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (*.f64 -1 b_2))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (+.f64 (*.f64 -1 b_2) (*.f64 -1/16 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3) (pow.f64 b_2 5)))))) |
b_2 |
(+.f64 b_2 (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2)))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2))))) |
b_2 |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) b_2) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) (+.f64 b_2 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3))))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 3) (pow.f64 c 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) (+.f64 b_2 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3)))))) |
(sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) |
(+.f64 (*.f64 -1 b_2) (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))))) |
(+.f64 (*.f64 -1 b_2) (+.f64 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) (*.f64 1/2 (*.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))))))))) |
(+.f64 (*.f64 -1 b_2) (+.f64 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3))))) (*.f64 1/2 (*.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))))))))) |
(*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3)))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (*.f64 1/16 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3) (pow.f64 b_2 5))))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 4)) (pow.f64 (*.f64 -1/8 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2)) 2)) (pow.f64 b_2 7))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (*.f64 1/16 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3) (pow.f64 b_2 5)))))) |
(*.f64 -2 b_2) |
(+.f64 (*.f64 -2 b_2) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2))) |
(+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))))) |
(+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (*.f64 -1/16 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3) (pow.f64 b_2 5)))))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2)))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 4) (pow.f64 b_2 6))) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 b_2 3))) 2))) b_2)) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2))))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3)))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 3) (pow.f64 c 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3))))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 3) (pow.f64 c 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 4) (pow.f64 b_2 6))) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 b_2 3))) 2))) b_2))))) |
(+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) |
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2))) |
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2))) |
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2))) |
(pow.f64 b_2 2) |
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2))) |
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2))) |
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2))) |
(pow.f64 b_2 2) |
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2))) |
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2))) |
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2))) |
(pow.f64 b_2 2) |
(+.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) (pow.f64 b_2 2)) |
(+.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) (pow.f64 b_2 2)) |
(+.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) (pow.f64 b_2 2)) |
(*.f64 (+.f64 c (*.f64 -2 c)) a) |
(+.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) (pow.f64 b_2 2)) |
(+.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) (pow.f64 b_2 2)) |
(+.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) (pow.f64 b_2 2)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 2 c)) a)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 2 c)) a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 2 c)) a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 2 c)) a)) (pow.f64 b_2 2)) |
(pow.f64 b_2 2) |
(+.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) (pow.f64 b_2 2)) |
(+.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) (pow.f64 b_2 2)) |
(+.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) (pow.f64 b_2 2)) |
(*.f64 (+.f64 a (*.f64 -2 a)) c) |
(+.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) (pow.f64 b_2 2)) |
(+.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) (pow.f64 b_2 2)) |
(+.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) (pow.f64 b_2 2)) |
(*.f64 -1 (*.f64 c (+.f64 (*.f64 2 a) (*.f64 -1 a)))) |
(+.f64 (*.f64 -1 (*.f64 c (+.f64 (*.f64 2 a) (*.f64 -1 a)))) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c (+.f64 (*.f64 2 a) (*.f64 -1 a)))) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c (+.f64 (*.f64 2 a) (*.f64 -1 a)))) (pow.f64 b_2 2)) |
| Outputs |
|---|
(*.f64 a (+.f64 c (*.f64 -1 c))) |
(*.f64 a (*.f64 0 c)) |
0 |
(*.f64 a (+.f64 c (*.f64 -1 c))) |
(*.f64 a (*.f64 0 c)) |
0 |
(*.f64 a (+.f64 c (*.f64 -1 c))) |
(*.f64 a (*.f64 0 c)) |
0 |
(*.f64 a (+.f64 c (*.f64 -1 c))) |
(*.f64 a (*.f64 0 c)) |
0 |
(*.f64 a (+.f64 c (*.f64 -1 c))) |
(*.f64 a (*.f64 0 c)) |
0 |
(*.f64 a (+.f64 c (*.f64 -1 c))) |
(*.f64 a (*.f64 0 c)) |
0 |
(*.f64 a (+.f64 c (*.f64 -1 c))) |
(*.f64 a (*.f64 0 c)) |
0 |
(*.f64 a (+.f64 c (*.f64 -1 c))) |
(*.f64 a (*.f64 0 c)) |
0 |
(*.f64 -1 (*.f64 a (+.f64 c (*.f64 -1 c)))) |
(*.f64 a (*.f64 0 c)) |
0 |
(*.f64 -1 (*.f64 a (+.f64 c (*.f64 -1 c)))) |
(*.f64 a (*.f64 0 c)) |
0 |
(*.f64 -1 (*.f64 a (+.f64 c (*.f64 -1 c)))) |
(*.f64 a (*.f64 0 c)) |
0 |
(*.f64 -1 (*.f64 a (+.f64 c (*.f64 -1 c)))) |
(*.f64 a (*.f64 0 c)) |
0 |
(*.f64 c (+.f64 a (*.f64 -1 a))) |
(*.f64 a (*.f64 0 c)) |
0 |
(*.f64 c (+.f64 a (*.f64 -1 a))) |
(*.f64 a (*.f64 0 c)) |
0 |
(*.f64 c (+.f64 a (*.f64 -1 a))) |
(*.f64 a (*.f64 0 c)) |
0 |
(*.f64 c (+.f64 a (*.f64 -1 a))) |
(*.f64 a (*.f64 0 c)) |
0 |
(*.f64 c (+.f64 a (*.f64 -1 a))) |
(*.f64 a (*.f64 0 c)) |
0 |
(*.f64 c (+.f64 a (*.f64 -1 a))) |
(*.f64 a (*.f64 0 c)) |
0 |
(*.f64 c (+.f64 a (*.f64 -1 a))) |
(*.f64 a (*.f64 0 c)) |
0 |
(*.f64 c (+.f64 a (*.f64 -1 a))) |
(*.f64 a (*.f64 0 c)) |
0 |
(*.f64 -1 (*.f64 c (+.f64 a (*.f64 -1 a)))) |
(*.f64 a (*.f64 0 c)) |
0 |
(*.f64 -1 (*.f64 c (+.f64 a (*.f64 -1 a)))) |
(*.f64 a (*.f64 0 c)) |
0 |
(*.f64 -1 (*.f64 c (+.f64 a (*.f64 -1 a)))) |
(*.f64 a (*.f64 0 c)) |
0 |
(*.f64 -1 (*.f64 c (+.f64 a (*.f64 -1 a)))) |
(*.f64 a (*.f64 0 c)) |
0 |
(sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) |
(sqrt.f64 (*.f64 -1 (*.f64 a c))) |
(sqrt.f64 (*.f64 a (neg.f64 c))) |
(+.f64 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) (*.f64 1/2 (*.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))))))) |
(+.f64 (sqrt.f64 (*.f64 -1 (*.f64 a c))) (*.f64 1/2 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 1 (*.f64 -1 (*.f64 a c))))))) |
(fma.f64 1/2 (*.f64 b_2 (*.f64 b_2 (sqrt.f64 (/.f64 -1 (*.f64 a c))))) (sqrt.f64 (*.f64 a (neg.f64 c)))) |
(+.f64 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3))))) (*.f64 1/2 (*.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))))))))) |
(+.f64 (sqrt.f64 (*.f64 -1 (*.f64 a c))) (fma.f64 -1/8 (*.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 -1 (*.f64 a c)) 3)))) (*.f64 1/2 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 1 (*.f64 -1 (*.f64 a c)))))))) |
(+.f64 (fma.f64 1/2 (*.f64 b_2 (*.f64 b_2 (sqrt.f64 (/.f64 -1 (*.f64 a c))))) (sqrt.f64 (*.f64 a (neg.f64 c)))) (*.f64 (pow.f64 b_2 4) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 a (neg.f64 c)) 3))) -1/8))) |
(fma.f64 (pow.f64 b_2 4) (*.f64 (sqrt.f64 (/.f64 -1 (pow.f64 (*.f64 a c) 3))) -1/8) (fma.f64 1/2 (*.f64 b_2 (*.f64 b_2 (sqrt.f64 (/.f64 -1 (*.f64 a c))))) (sqrt.f64 (*.f64 a (neg.f64 c))))) |
(+.f64 (*.f64 1/16 (*.f64 (pow.f64 b_2 6) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 5))))) (+.f64 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3))))) (*.f64 1/2 (*.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))))))))) |
(fma.f64 1/16 (*.f64 (pow.f64 b_2 6) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 -1 (*.f64 a c)) 5)))) (+.f64 (sqrt.f64 (*.f64 -1 (*.f64 a c))) (fma.f64 -1/8 (*.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 -1 (*.f64 a c)) 3)))) (*.f64 1/2 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 1 (*.f64 -1 (*.f64 a c))))))))) |
(+.f64 (fma.f64 1/2 (*.f64 b_2 (*.f64 b_2 (sqrt.f64 (/.f64 -1 (*.f64 a c))))) (*.f64 (pow.f64 b_2 4) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 a (neg.f64 c)) 3))) -1/8))) (fma.f64 1/16 (*.f64 (pow.f64 b_2 6) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 a (neg.f64 c)) 5)))) (sqrt.f64 (*.f64 a (neg.f64 c))))) |
(fma.f64 1/16 (*.f64 (pow.f64 b_2 6) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 a (neg.f64 c)) 5)))) (fma.f64 (pow.f64 b_2 4) (*.f64 (sqrt.f64 (/.f64 -1 (pow.f64 (*.f64 a c) 3))) -1/8) (fma.f64 1/2 (*.f64 b_2 (*.f64 b_2 (sqrt.f64 (/.f64 -1 (*.f64 a c))))) (sqrt.f64 (*.f64 a (neg.f64 c)))))) |
b_2 |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) b_2) |
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) b_2) |
(+.f64 b_2 (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2)) |
(+.f64 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c)))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) b_2)) |
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) b_2)) |
(+.f64 b_2 (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2))) |
(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (+.f64 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 1/16 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3) (pow.f64 b_2 5)))))) |
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) b_2) (*.f64 1/16 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 3) (pow.f64 b_2 5))))) |
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2))) |
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))) |
(*.f64 -1 b_2) |
(neg.f64 b_2) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (*.f64 -1 b_2)) |
(fma.f64 -1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (neg.f64 b_2)) |
(-.f64 (/.f64 (*.f64 1/2 (*.f64 a c)) b_2) b_2) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (*.f64 -1 b_2))) |
(fma.f64 -1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (fma.f64 1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) (neg.f64 b_2))) |
(-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) 1/8 (/.f64 (*.f64 1/2 (*.f64 a c)) b_2)) b_2) |
(fma.f64 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) 1/8 (-.f64 (/.f64 (*.f64 1/2 (*.f64 a c)) b_2) b_2)) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (+.f64 (*.f64 -1 b_2) (*.f64 -1/16 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3) (pow.f64 b_2 5)))))) |
(fma.f64 -1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (fma.f64 1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) (fma.f64 -1 b_2 (*.f64 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 3) (pow.f64 b_2 5)) -1/16)))) |
(+.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) 1/8 (/.f64 (*.f64 1/2 (*.f64 a c)) b_2)) b_2) (*.f64 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) -1/16)) |
(-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) 1/8 (fma.f64 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) -1/16 (/.f64 (*.f64 1/2 (*.f64 a c)) b_2))) b_2) |
b_2 |
(+.f64 b_2 (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2))) |
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) b_2) |
(+.f64 b_2 (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2)) |
(+.f64 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c)))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2)))) |
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) b_2)) |
(+.f64 b_2 (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2))) |
(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (+.f64 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2))))) |
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) b_2) (*.f64 1/16 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 3) (pow.f64 b_2 5))))) |
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2))) |
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))) |
b_2 |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) b_2) |
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) b_2) |
(+.f64 b_2 (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2)) |
(+.f64 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c)))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) (+.f64 b_2 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3))))) |
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) b_2)) |
(+.f64 b_2 (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2))) |
(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (+.f64 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 3) (pow.f64 c 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) (+.f64 b_2 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3)))))) |
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) b_2) (*.f64 1/16 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 3) (pow.f64 b_2 5))))) |
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2))) |
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))) |
(sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) |
(sqrt.f64 (*.f64 -1 (*.f64 a c))) |
(sqrt.f64 (*.f64 a (neg.f64 c))) |
(+.f64 (*.f64 -1 b_2) (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))))) |
(fma.f64 -1 b_2 (sqrt.f64 (*.f64 -1 (*.f64 a c)))) |
(-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) |
(+.f64 (*.f64 -1 b_2) (+.f64 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) (*.f64 1/2 (*.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))))))))) |
(+.f64 (fma.f64 -1 b_2 (sqrt.f64 (*.f64 -1 (*.f64 a c)))) (*.f64 1/2 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 1 (*.f64 -1 (*.f64 a c))))))) |
(-.f64 (fma.f64 1/2 (*.f64 b_2 (*.f64 b_2 (sqrt.f64 (/.f64 -1 (*.f64 a c))))) (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2) |
(+.f64 (*.f64 -1 b_2) (+.f64 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3))))) (*.f64 1/2 (*.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))))))))) |
(+.f64 (fma.f64 -1 b_2 (sqrt.f64 (*.f64 -1 (*.f64 a c)))) (fma.f64 -1/8 (*.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 -1 (*.f64 a c)) 3)))) (*.f64 1/2 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 1 (*.f64 -1 (*.f64 a c)))))))) |
(+.f64 (fma.f64 1/2 (*.f64 b_2 (*.f64 b_2 (sqrt.f64 (/.f64 -1 (*.f64 a c))))) (*.f64 (pow.f64 b_2 4) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 a (neg.f64 c)) 3))) -1/8))) (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)) |
(-.f64 (fma.f64 (pow.f64 b_2 4) (*.f64 (sqrt.f64 (/.f64 -1 (pow.f64 (*.f64 a c) 3))) -1/8) (fma.f64 1/2 (*.f64 b_2 (*.f64 b_2 (sqrt.f64 (/.f64 -1 (*.f64 a c))))) (sqrt.f64 (*.f64 a (neg.f64 c))))) b_2) |
(*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) |
(*.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2)) |
(/.f64 (*.f64 -1/2 (*.f64 a c)) b_2) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 a c))) |
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(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (*.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)))) |
(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2)) |
(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 -1/2 (/.f64 b_2 (*.f64 a c)))) |
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(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) (*.f64 1/16 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 3) (pow.f64 b_2 5))))) |
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(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))) |
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(*.f64 -2 b_2) |
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(fma.f64 -2 b_2 (*.f64 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) -1/2)) |
(fma.f64 -2 b_2 (/.f64 (*.f64 1/2 (*.f64 a c)) b_2)) |
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(fma.f64 -2 b_2 (fma.f64 -1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (*.f64 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) 1/8))) |
(fma.f64 -2 b_2 (fma.f64 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) 1/8 (/.f64 (*.f64 1/2 (*.f64 a c)) b_2))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) 1/8 (fma.f64 -2 b_2 (/.f64 (*.f64 1/2 (*.f64 a c)) b_2))) |
(+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (*.f64 -1/16 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3) (pow.f64 b_2 5)))))) |
(fma.f64 -2 b_2 (fma.f64 -1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (fma.f64 1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) (*.f64 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 3) (pow.f64 b_2 5)) -1/16)))) |
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(fma.f64 -2 b_2 (fma.f64 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) 1/8 (fma.f64 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) -1/16 (/.f64 (*.f64 1/2 (*.f64 a c)) b_2)))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2)) |
(*.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2)) |
(/.f64 (*.f64 -1/2 (*.f64 a c)) b_2) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 a c))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2))) |
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (*.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)))) |
(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2)) |
(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 -1/2 (/.f64 b_2 (*.f64 a c)))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2)))) |
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) (*.f64 1/16 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 3) (pow.f64 b_2 5))))) |
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5))) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2))) |
(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 4) (pow.f64 b_2 6))) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 b_2 3))) 2))) b_2)) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2))))) |
(fma.f64 -1/8 (/.f64 (pow.f64 (neg.f64 c) 2) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 (pow.f64 a 4) (/.f64 b_2 (fma.f64 1/16 (/.f64 (pow.f64 (neg.f64 c) 4) (pow.f64 b_2 6)) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 (neg.f64 c) 2) (pow.f64 b_2 3))) 2)))) (fma.f64 1/16 (/.f64 (pow.f64 (neg.f64 c) 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (neg.f64 c) (/.f64 b_2 a)))))) |
(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 a 4) b_2) (fma.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 1/64))) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 (neg.f64 c) 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2)))) |
(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 c 4) b_2) (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) 5/64)) (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) (/.f64 -1/2 (/.f64 b_2 (*.f64 a c)))))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) |
(*.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2)) |
(/.f64 (*.f64 -1/2 (*.f64 a c)) b_2) |
(/.f64 -1/2 (/.f64 b_2 (*.f64 a c))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3)))) |
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (*.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)))) |
(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2)) |
(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 -1/2 (/.f64 b_2 (*.f64 a c)))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 3) (pow.f64 c 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3))))) |
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) (*.f64 1/16 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 3) (pow.f64 b_2 5))))) |
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5))) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2))) |
(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 3) (pow.f64 c 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 4) (pow.f64 b_2 6))) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 b_2 3))) 2))) b_2))))) |
(fma.f64 -1/8 (/.f64 (pow.f64 (neg.f64 c) 2) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 (pow.f64 a 4) (/.f64 b_2 (fma.f64 1/16 (/.f64 (pow.f64 (neg.f64 c) 4) (pow.f64 b_2 6)) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 (neg.f64 c) 2) (pow.f64 b_2 3))) 2)))) (fma.f64 1/16 (/.f64 (pow.f64 (neg.f64 c) 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (neg.f64 c) (/.f64 b_2 a)))))) |
(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 a 4) b_2) (fma.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 1/64))) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 (neg.f64 c) 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2)))) |
(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 c 4) b_2) (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) 5/64)) (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) (/.f64 -1/2 (/.f64 b_2 (*.f64 a c)))))) |
(+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) |
(*.f64 -1 (*.f64 a c)) |
(*.f64 a (neg.f64 c)) |
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2))) |
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2))) |
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2))) |
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
(pow.f64 b_2 2) |
(*.f64 b_2 b_2) |
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2))) |
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2))) |
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2))) |
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
(pow.f64 b_2 2) |
(*.f64 b_2 b_2) |
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2))) |
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2))) |
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2))) |
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
(pow.f64 b_2 2) |
(*.f64 b_2 b_2) |
(+.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
(+.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
(+.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
(*.f64 (+.f64 c (*.f64 -2 c)) a) |
(*.f64 -1 (*.f64 a c)) |
(*.f64 a (neg.f64 c)) |
(+.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
(+.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
(+.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 2 c)) a)) |
(*.f64 -1 (*.f64 a c)) |
(*.f64 a (neg.f64 c)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 2 c)) a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 2 c)) a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 2 c)) a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
(pow.f64 b_2 2) |
(*.f64 b_2 b_2) |
(+.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
(+.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
(+.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
(*.f64 (+.f64 a (*.f64 -2 a)) c) |
(*.f64 -1 (*.f64 a c)) |
(*.f64 a (neg.f64 c)) |
(+.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
(+.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
(+.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
(*.f64 -1 (*.f64 c (+.f64 (*.f64 2 a) (*.f64 -1 a)))) |
(*.f64 -1 (*.f64 a c)) |
(*.f64 a (neg.f64 c)) |
(+.f64 (*.f64 -1 (*.f64 c (+.f64 (*.f64 2 a) (*.f64 -1 a)))) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
(+.f64 (*.f64 -1 (*.f64 c (+.f64 (*.f64 2 a) (*.f64 -1 a)))) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
(+.f64 (*.f64 -1 (*.f64 c (+.f64 (*.f64 2 a) (*.f64 -1 a)))) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
Compiled 11 to 5 computations (54.5% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 -1/2 (/.f64 1 (*.f64 (/.f64 a c) (/.f64 b_2 a)))) |
| ✓ | 0.3b | (/.f64 1 (*.f64 (/.f64 a c) (/.f64 b_2 a))) |
| ✓ | 12.5b | (*.f64 (/.f64 a c) (/.f64 b_2 a)) |
Compiled 41 to 14 computations (65.9% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | 0 | (*.f64 (/.f64 a c) (/.f64 b_2 a)) |
| 1.0ms | c | @ | -inf | (/.f64 1 (*.f64 (/.f64 a c) (/.f64 b_2 a))) |
| 0.0ms | b_2 | @ | -inf | (*.f64 (/.f64 a c) (/.f64 b_2 a)) |
| 0.0ms | b_2 | @ | -inf | (/.f64 1 (*.f64 (/.f64 a c) (/.f64 b_2 a))) |
| 0.0ms | b_2 | @ | 0 | (*.f64 (/.f64 a c) (/.f64 b_2 a)) |
| 1× | batch-egg-rewrite |
| 630× | log-prod_binary64 |
| 430× | pow-prod-down_binary64 |
| 305× | pow2_binary64 |
| 228× | log-div_binary64 |
| 226× | pow-unpow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 36 |
| 1 | 239 | 33 |
| 2 | 3307 | 33 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 a c) (/.f64 b_2 a)) |
(/.f64 1 (*.f64 (/.f64 a c) (/.f64 b_2 a))) |
(*.f64 -1/2 (/.f64 1 (*.f64 (/.f64 a c) (/.f64 b_2 a)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 a c) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 b_2 a)) (/.f64 a c))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 b_2 a)) (/.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 b_2 a)) (/.f64 a c)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 b_2 a)) (/.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (*.f64 c (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (*.f64 (/.f64 a b_2) c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 (*.f64 a c) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 c (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a c) (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b_2 (*.f64 (/.f64 c a) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b_2 (*.f64 a (/.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b_2 a) (/.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 a b_2) (/.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 a c) (*.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 c (/.f64 a (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 (/.f64 a c) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) 2) (cbrt.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) (sqrt.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a c) (neg.f64 (/.f64 b_2 a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b_2) (*.f64 (/.f64 c a) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 a) (*.f64 (/.f64 a b_2) (neg.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a b_2) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a (/.f64 a b_2)) c)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a c) b_2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a b_2)) (neg.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 a (/.f64 a b_2))) (neg.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 a c) b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a) 1) (*.f64 (neg.f64 c) (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b_2) 1) (*.f64 (neg.f64 a) (/.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a) b_2) (*.f64 (neg.f64 c) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (neg.f64 b_2)) (*.f64 c (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a) (neg.f64 b_2)) (*.f64 (neg.f64 c) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b_2) a) (*.f64 (neg.f64 a) c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b_2 (neg.f64 a)) (*.f64 a (neg.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b_2) (neg.f64 a)) (*.f64 (neg.f64 a) (neg.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 a (/.f64 a b_2)) 1) c)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 a (/.f64 a b_2)) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 a (/.f64 a b_2)) (sqrt.f64 c)) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 a c) b_2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 a c) b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 a c) b_2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a) (/.f64 b_2 a)) (neg.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b_2) (/.f64 a c)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a c) (neg.f64 b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 b_2 a) (neg.f64 a)) (neg.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a c) (*.f64 a b_2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c (/.f64 a (/.f64 a b_2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 (/.f64 a c) b_2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 b_2 a)) (/.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 a b_2) (/.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 a b_2) (/.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))) 2) (cbrt.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))) (sqrt.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 (/.f64 a c) (neg.f64 (/.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a b_2) (/.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c a) (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 c a) 1) (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 a b_2)) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 a (/.f64 a b_2))) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 a c) b_2)) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 c a) b_2) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 c a) (neg.f64 b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) -2) (cbrt.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (*.f64 (/.f64 a c) (neg.f64 (/.f64 b_2 a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (/.f64 a b_2) (/.f64 c a)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (/.f64 a b_2) (/.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (/.f64 a b_2) (/.f64 c a))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (/.f64 a b_2) (/.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (*.f64 (/.f64 a c) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (*.f64 (/.f64 a c) (neg.f64 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/2 (/.f64 a c)) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/2 (/.f64 b_2 a)) (/.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) 2)) (cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/2 (sqrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)))) (sqrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 c a) -1/2) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (/.f64 c a)) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)) -2) 1/4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)) -2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (/.f64 a b_2) (/.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) -1/2)) 1)))))) |
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 2× | associate-/l*_binary64 |
| 1× | associate-*r/_binary64 |
| 1× | associate-*l/_binary64 |
| 1× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 540 |
| 1 | 10 | 540 |
| 2 | 13 | 540 |
| 3 | 17 | 540 |
| 4 | 18 | 540 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
| Outputs |
|---|
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 b_2 c) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(/.f64 c (/.f64 b_2 -1/2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(/.f64 c (/.f64 b_2 -1/2)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) |
| ✓ | 0.2b | (pow.f64 (/.f64 b_2 a) 2) |
| ✓ | 19.4b | (sqrt.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)) |
Compiled 30 to 17 computations (43.3% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b_2 | @ | 0 | (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) |
| 1.0ms | a | @ | 0 | (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) |
| 1.0ms | b_2 | @ | inf | (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) |
| 1.0ms | b_2 | @ | -inf | (pow.f64 (/.f64 b_2 a) 2) |
| 1.0ms | a | @ | -inf | (pow.f64 (/.f64 b_2 a) 2) |
| 1× | batch-egg-rewrite |
| 820× | pow1_binary64 |
| 761× | add-log-exp_binary64 |
| 761× | log1p-expm1-u_binary64 |
| 761× | expm1-log1p-u_binary64 |
| 743× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 29 |
| 1 | 188 | 24 |
| 2 | 2154 | 24 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)) |
(pow.f64 (/.f64 b_2 a) 2) |
(*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 b_2 a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b_2 a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b_2 a) (pow.f64 4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b_2 a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 b_2 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)) 2) (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 b_2 a) 2)) (sqrt.f64 (*.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 4) 16))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 4 1/2) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 (/.f64 b_2 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 4) 16)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 b_2 a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 b_2 a) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 b_2 a) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 b_2 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 b_2 a) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (/.f64 b_2 a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b_2 (*.f64 (pow.f64 a -1) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b_2 a) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 b_2 a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 b_2 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b_2 b_2) (*.f64 (pow.f64 a -1) (pow.f64 a -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b_2 b_2) (pow.f64 (pow.f64 a -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 b_2 a) 4)) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (cbrt.f64 (pow.f64 (/.f64 b_2 a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (*.f64 (cbrt.f64 (/.f64 b_2 a)) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b_2 a)) (*.f64 (sqrt.f64 (/.f64 b_2 a)) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b_2 a) (sqrt.f64 (/.f64 b_2 a))) (sqrt.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b_2 a) b_2) (pow.f64 a -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b_2 a) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (cbrt.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b_2 (*.f64 (/.f64 a b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b_2 (*.f64 a (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b_2 a) (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 a b_2) (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b_2 b_2) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b_2) (*.f64 (/.f64 a b_2) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b_2) (neg.f64 b_2)) (*.f64 (neg.f64 a) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b_2) b_2) (*.f64 (neg.f64 a) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b_2) 1) (*.f64 (neg.f64 a) (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b_2 (neg.f64 b_2)) (*.f64 a (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b_2 (/.f64 b_2 a)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b_2) (/.f64 b_2 a)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 b_2 a) b_2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 b_2 a) (neg.f64 b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b_2 a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 b_2 a) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (/.f64 b_2 a)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 b_2 a) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 4) 16) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4))))))) |
| 1× | egg-herbie |
| 775× | associate-/l*_binary64 |
| 482× | sqr-pow_binary64 |
| 481× | associate-/r*_binary64 |
| 377× | associate-/l/_binary64 |
| 370× | associate-*l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 720 |
| 1 | 30 | 720 |
| 2 | 61 | 720 |
| 3 | 177 | 720 |
| 4 | 873 | 720 |
| 5 | 5339 | 720 |
| 6 | 6081 | 720 |
| 7 | 6315 | 720 |
| 8 | 6528 | 720 |
| 9 | 6776 | 720 |
| 10 | 7113 | 720 |
| 11 | 7547 | 720 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
| Outputs |
|---|
(*.f64 2 (/.f64 b_2 a)) |
(/.f64 (*.f64 2 b_2) a) |
(*.f64 2 (/.f64 b_2 a)) |
(/.f64 (*.f64 2 b_2) a) |
(*.f64 2 (/.f64 b_2 a)) |
(/.f64 (*.f64 2 b_2) a) |
(*.f64 2 (/.f64 b_2 a)) |
(/.f64 (*.f64 2 b_2) a) |
(*.f64 2 (/.f64 b_2 a)) |
(/.f64 (*.f64 2 b_2) a) |
(*.f64 2 (/.f64 b_2 a)) |
(/.f64 (*.f64 2 b_2) a) |
(*.f64 2 (/.f64 b_2 a)) |
(/.f64 (*.f64 2 b_2) a) |
(*.f64 2 (/.f64 b_2 a)) |
(/.f64 (*.f64 2 b_2) a) |
(*.f64 -2 (/.f64 b_2 a)) |
(/.f64 (*.f64 -2 b_2) a) |
(/.f64 (*.f64 b_2 -2) a) |
(*.f64 (/.f64 b_2 a) -2) |
(*.f64 b_2 (/.f64 -2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(/.f64 (*.f64 -2 b_2) a) |
(/.f64 (*.f64 b_2 -2) a) |
(*.f64 (/.f64 b_2 a) -2) |
(*.f64 b_2 (/.f64 -2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(/.f64 (*.f64 -2 b_2) a) |
(/.f64 (*.f64 b_2 -2) a) |
(*.f64 (/.f64 b_2 a) -2) |
(*.f64 b_2 (/.f64 -2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(/.f64 (*.f64 -2 b_2) a) |
(/.f64 (*.f64 b_2 -2) a) |
(*.f64 (/.f64 b_2 a) -2) |
(*.f64 b_2 (/.f64 -2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(/.f64 (*.f64 2 b_2) a) |
(*.f64 2 (/.f64 b_2 a)) |
(/.f64 (*.f64 2 b_2) a) |
(*.f64 2 (/.f64 b_2 a)) |
(/.f64 (*.f64 2 b_2) a) |
(*.f64 2 (/.f64 b_2 a)) |
(/.f64 (*.f64 2 b_2) a) |
(*.f64 2 (/.f64 b_2 a)) |
(/.f64 (*.f64 2 b_2) a) |
(*.f64 2 (/.f64 b_2 a)) |
(/.f64 (*.f64 2 b_2) a) |
(*.f64 2 (/.f64 b_2 a)) |
(/.f64 (*.f64 2 b_2) a) |
(*.f64 2 (/.f64 b_2 a)) |
(/.f64 (*.f64 2 b_2) a) |
(*.f64 -2 (/.f64 b_2 a)) |
(/.f64 (*.f64 -2 b_2) a) |
(/.f64 (*.f64 b_2 -2) a) |
(*.f64 (/.f64 b_2 a) -2) |
(*.f64 b_2 (/.f64 -2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(/.f64 (*.f64 -2 b_2) a) |
(/.f64 (*.f64 b_2 -2) a) |
(*.f64 (/.f64 b_2 a) -2) |
(*.f64 b_2 (/.f64 -2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(/.f64 (*.f64 -2 b_2) a) |
(/.f64 (*.f64 b_2 -2) a) |
(*.f64 (/.f64 b_2 a) -2) |
(*.f64 b_2 (/.f64 -2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(/.f64 (*.f64 -2 b_2) a) |
(/.f64 (*.f64 b_2 -2) a) |
(*.f64 (/.f64 b_2 a) -2) |
(*.f64 b_2 (/.f64 -2 a)) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b_2 b_2) (*.f64 a a)) |
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) |
(*.f64 b_2 (/.f64 b_2 (*.f64 a a))) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b_2 b_2) (*.f64 a a)) |
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) |
(*.f64 b_2 (/.f64 b_2 (*.f64 a a))) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b_2 b_2) (*.f64 a a)) |
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) |
(*.f64 b_2 (/.f64 b_2 (*.f64 a a))) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b_2 b_2) (*.f64 a a)) |
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) |
(*.f64 b_2 (/.f64 b_2 (*.f64 a a))) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b_2 b_2) (*.f64 a a)) |
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) |
(*.f64 b_2 (/.f64 b_2 (*.f64 a a))) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b_2 b_2) (*.f64 a a)) |
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) |
(*.f64 b_2 (/.f64 b_2 (*.f64 a a))) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b_2 b_2) (*.f64 a a)) |
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) |
(*.f64 b_2 (/.f64 b_2 (*.f64 a a))) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b_2 b_2) (*.f64 a a)) |
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) |
(*.f64 b_2 (/.f64 b_2 (*.f64 a a))) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b_2 b_2) (*.f64 a a)) |
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) |
(*.f64 b_2 (/.f64 b_2 (*.f64 a a))) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b_2 b_2) (*.f64 a a)) |
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) |
(*.f64 b_2 (/.f64 b_2 (*.f64 a a))) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b_2 b_2) (*.f64 a a)) |
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) |
(*.f64 b_2 (/.f64 b_2 (*.f64 a a))) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b_2 b_2) (*.f64 a a)) |
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) |
(*.f64 b_2 (/.f64 b_2 (*.f64 a a))) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b_2 b_2) (*.f64 a a)) |
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) |
(*.f64 b_2 (/.f64 b_2 (*.f64 a a))) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b_2 b_2) (*.f64 a a)) |
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) |
(*.f64 b_2 (/.f64 b_2 (*.f64 a a))) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b_2 b_2) (*.f64 a a)) |
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) |
(*.f64 b_2 (/.f64 b_2 (*.f64 a a))) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b_2 b_2) (*.f64 a a)) |
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) |
(*.f64 b_2 (/.f64 b_2 (*.f64 a a))) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b_2 b_2) (*.f64 a a)) |
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) |
(*.f64 b_2 (/.f64 b_2 (*.f64 a a))) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b_2 b_2) (*.f64 a a)) |
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) |
(*.f64 b_2 (/.f64 b_2 (*.f64 a a))) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b_2 b_2) (*.f64 a a)) |
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) |
(*.f64 b_2 (/.f64 b_2 (*.f64 a a))) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b_2 b_2) (*.f64 a a)) |
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) |
(*.f64 b_2 (/.f64 b_2 (*.f64 a a))) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b_2 b_2) (*.f64 a a)) |
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) |
(*.f64 b_2 (/.f64 b_2 (*.f64 a a))) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b_2 b_2) (*.f64 a a)) |
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) |
(*.f64 b_2 (/.f64 b_2 (*.f64 a a))) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b_2 b_2) (*.f64 a a)) |
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) |
(*.f64 b_2 (/.f64 b_2 (*.f64 a a))) |
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b_2 b_2) (*.f64 a a)) |
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) |
(*.f64 b_2 (/.f64 b_2 (*.f64 a a))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4) |
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4) |
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4)) |
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a)))) |
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4) |
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4) |
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4)) |
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a)))) |
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4) |
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4) |
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4)) |
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a)))) |
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4) |
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4) |
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4)) |
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a)))) |
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4) |
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4) |
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4)) |
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a)))) |
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4) |
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4) |
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4)) |
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a)))) |
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4) |
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4) |
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4)) |
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a)))) |
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4) |
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4) |
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4)) |
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a)))) |
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4) |
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4) |
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4)) |
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a)))) |
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4) |
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4) |
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4)) |
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a)))) |
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4) |
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4) |
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4)) |
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a)))) |
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4) |
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4) |
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4)) |
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a)))) |
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4) |
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4) |
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4)) |
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a)))) |
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4) |
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4) |
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4)) |
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a)))) |
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4) |
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4) |
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4)) |
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a)))) |
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4) |
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4) |
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4)) |
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a)))) |
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4) |
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4) |
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4)) |
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a)))) |
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4) |
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4) |
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4)) |
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a)))) |
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4) |
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4) |
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4)) |
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a)))) |
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4) |
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4) |
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4)) |
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a)))) |
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4) |
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4) |
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4)) |
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a)))) |
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4) |
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4) |
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4)) |
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a)))) |
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4) |
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4) |
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4)) |
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a)))) |
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a))) |
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2))) |
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4) |
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4) |
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4)) |
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a)))) |
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.7b | (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) | |
| ✓ | 1.5b | (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a) |
| ✓ | 10.1b | (/.f64 (*.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) |
| 15.2b | (sqrt.f64 (*.f64 a (neg.f64 c))) |
Compiled 69 to 12 computations (82.6% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | c | @ | -inf | (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a) |
| 5.0ms | c | @ | inf | (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a) |
| 3.0ms | a | @ | inf | (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a) |
| 3.0ms | a | @ | -inf | (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a) |
| 2.0ms | c | @ | -inf | (/.f64 (*.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) |
| 1× | batch-egg-rewrite |
| 708× | prod-diff_binary64 |
| 675× | log-prod_binary64 |
| 238× | fma-def_binary64 |
| 211× | expm1-udef_binary64 |
| 211× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 47 |
| 1 | 293 | 39 |
| 2 | 4605 | 39 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) |
(/.f64 (/.f64 (*.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a) |
| Outputs |
|---|
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(hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) a))) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 c a) (sqrt.f64 a)) (/.f64 (/.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (/.f64 c (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) a)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) a))) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (/.f64 c (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) a))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (*.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (*.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 (*.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 (*.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (*.f64 c a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (*.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 (*.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (*.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (/.f64 (/.f64 (*.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (*.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 c (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) a)) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 (*.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (*.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 (*.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (*.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) 1)))))) |
| 1× | egg-herbie |
| 827× | associate-/l*_binary64 |
| 682× | associate-/r*_binary64 |
| 370× | associate-*l/_binary64 |
| 305× | associate-*r/_binary64 |
| 250× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 191 | 1472 |
| 1 | 617 | 1146 |
| 2 | 2887 | 1003 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)))) |
(+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1))))) |
(+.f64 (*.f64 (pow.f64 b_2 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))))) (+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)))))) |
(+.f64 (*.f64 (pow.f64 b_2 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))))) (+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 b_2 3) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))))))) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1))))))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(+.f64 (*.f64 1/128 (/.f64 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4))) (pow.f64 b_2 7))) (+.f64 (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4))) (pow.f64 b_2 7))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))) |
(*.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) |
(+.f64 (*.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))) (pow.f64 b_2 3))))) |
(+.f64 (*.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))) (pow.f64 b_2 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3)))) (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))))))))) (pow.f64 b_2 5)))))) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -1)))) |
(+.f64 (/.f64 b_2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -1))))) |
(+.f64 (/.f64 b_2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -1)))) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 b_2 2)))) |
(+.f64 (/.f64 b_2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))))) (pow.f64 b_2 3))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -1)))) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 b_2 2))))) |
(*.f64 -1/2 (/.f64 c b_2)) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))) |
(+.f64 (*.f64 1/128 (/.f64 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 7))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/2 (/.f64 c b_2)) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 7))))))) |
(*.f64 2 (/.f64 b_2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))) |
(+.f64 (*.f64 2 (/.f64 b_2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))) (*.f64 1/2 (/.f64 c b_2))) |
(+.f64 (*.f64 2 (/.f64 b_2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))) (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)))) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 c b_2)))) |
(+.f64 (*.f64 2 (/.f64 b_2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))) (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)))) (pow.f64 b_2 3))) (+.f64 (*.f64 1/2 (/.f64 c b_2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))) (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)))))))))) (pow.f64 b_2 5)))))) |
| Outputs |
|---|
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(*.f64 -1/2 (*.f64 (/.f64 c b_2) a)) |
(*.f64 (*.f64 -1/2 (/.f64 c b_2)) a) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) |
(*.f64 -1/2 (*.f64 (/.f64 c b_2) a)) |
(*.f64 (*.f64 -1/2 (/.f64 c b_2)) a) |
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)))) |
(neg.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)))) |
(/.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -1)) |
(/.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -1))) |
(+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1))))) |
(+.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)))) (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) |
(-.f64 (/.f64 b_2 -1) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))) |
(+.f64 (*.f64 (pow.f64 b_2 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))))) (+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)))))) |
(fma.f64 (*.f64 b_2 b_2) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) (+.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)))) (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)))) |
(fma.f64 (*.f64 b_2 b_2) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 -1 (sqrt.f64 -1)))) (-.f64 (/.f64 b_2 -1) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))) |
(-.f64 (fma.f64 (*.f64 b_2 b_2) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 1/2 (sqrt.f64 -1))) (/.f64 b_2 -1)) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))) |
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(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))) |
(fma.f64 1/8 (/.f64 (*.f64 (*.f64 (*.f64 c c) (pow.f64 (sqrt.f64 -1) 2)) a) (pow.f64 b_2 3)) (fma.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a))) (pow.f64 b_2 5)) (*.f64 -1/2 (/.f64 c b_2)))) |
(fma.f64 1/8 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) -1) (pow.f64 b_2 3)) (fma.f64 -1/2 (/.f64 c b_2) (*.f64 -1/16 (/.f64 (*.f64 a (*.f64 a 1)) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3)))))) |
(fma.f64 1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) (neg.f64 a)) (fma.f64 -1/2 (/.f64 c b_2) (*.f64 (/.f64 -1/16 (pow.f64 b_2 5)) (*.f64 (*.f64 a a) (pow.f64 c 3))))) |
(+.f64 (*.f64 1/128 (/.f64 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 7))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/2 (/.f64 c b_2)) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 7))))))) |
(fma.f64 1/128 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b_2 7) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6)))) (fma.f64 1/8 (/.f64 (*.f64 (*.f64 (*.f64 c c) (pow.f64 (sqrt.f64 -1) 2)) a) (pow.f64 b_2 3)) (fma.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a))) (pow.f64 b_2 5)) (fma.f64 -1/2 (/.f64 c b_2) (*.f64 1/32 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b_2 7) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6))))))))) |
(fma.f64 1/128 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 7)) (*.f64 -1 (pow.f64 a 3))) (fma.f64 1/8 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) -1) (pow.f64 b_2 3)) (fma.f64 -1/16 (/.f64 (*.f64 a (*.f64 a 1)) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (fma.f64 -1/2 (/.f64 c b_2) (/.f64 (*.f64 (*.f64 1/32 (pow.f64 c 4)) (*.f64 -1 (pow.f64 a 3))) (pow.f64 b_2 7)))))) |
(fma.f64 1/128 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b_2 7) (neg.f64 (pow.f64 a 3)))) (fma.f64 1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) (neg.f64 a)) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a a)) (fma.f64 -1/2 (/.f64 c b_2) (*.f64 1/32 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b_2 7) (neg.f64 (pow.f64 a 3))))))))) |
(*.f64 2 (/.f64 b_2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))) |
(/.f64 (*.f64 2 b_2) (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) |
(*.f64 -2 (/.f64 b_2 a)) |
(/.f64 (*.f64 -2 b_2) a) |
(+.f64 (*.f64 2 (/.f64 b_2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))) (*.f64 1/2 (/.f64 c b_2))) |
(fma.f64 2 (/.f64 b_2 (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/2 (/.f64 c b_2))) |
(fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a))) |
(fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 -2 b_2) a)) |
(+.f64 (*.f64 2 (/.f64 b_2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))) (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)))) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 c b_2)))) |
(fma.f64 2 (/.f64 b_2 (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 -1 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) (pow.f64 (sqrt.f64 -1) 2)) a) 1/8) (pow.f64 b_2 3)) (*.f64 1/2 (/.f64 c b_2)))) |
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (-.f64 (*.f64 1/2 (/.f64 c b_2)) (*.f64 1/8 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) -1) (pow.f64 b_2 3))))) |
(+.f64 (*.f64 1/2 (/.f64 c b_2)) (fma.f64 -2 (/.f64 b_2 a) (/.f64 (*.f64 a (*.f64 (*.f64 c c) 1/8)) (pow.f64 b_2 3)))) |
(+.f64 (*.f64 2 (/.f64 b_2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))) (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)))) (pow.f64 b_2 3))) (+.f64 (*.f64 1/2 (/.f64 c b_2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))) (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)))))))))) (pow.f64 b_2 5)))))) |
(fma.f64 2 (/.f64 b_2 (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 -1 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) (pow.f64 (sqrt.f64 -1) 2)) a) 1/8) (pow.f64 b_2 3)) (fma.f64 1/2 (/.f64 c b_2) (neg.f64 (/.f64 (fma.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -1) 8))))) (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a)))) (fma.f64 1/16 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a))) (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a (*.f64 (*.f64 (*.f64 (*.f64 c c) (pow.f64 (sqrt.f64 -1) 2)) a) 1/8))))))) (pow.f64 b_2 5)))))) |
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (-.f64 (-.f64 (*.f64 1/2 (/.f64 c b_2)) (*.f64 1/8 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) -1) (pow.f64 b_2 3)))) (/.f64 (fma.f64 -2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 1 (pow.f64 a 4))) (pow.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a (*.f64 a 1)) -1/8)) 2)) (*.f64 c (*.f64 a (*.f64 a 1)))) (fma.f64 (*.f64 c 1/4) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) a) -1) (*.f64 1/8 a))) (*.f64 (pow.f64 c 3) (*.f64 (*.f64 a (*.f64 a 1)) 1/16)))) (pow.f64 b_2 5)))) |
(+.f64 (-.f64 (*.f64 1/2 (/.f64 c b_2)) (/.f64 (fma.f64 -2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 (pow.f64 c 4) 1/64) (*.f64 (pow.f64 c 4) 1/16))) (*.f64 c (*.f64 a a))) (fma.f64 1/4 (*.f64 c (*.f64 a (*.f64 a (*.f64 (*.f64 c c) 1/8)))) (*.f64 (pow.f64 c 3) (*.f64 (*.f64 a a) 1/16)))) (pow.f64 b_2 5))) (fma.f64 -2 (/.f64 b_2 a) (/.f64 (*.f64 a (*.f64 (*.f64 c c) 1/8)) (pow.f64 b_2 3)))) |
Compiled 16356 to 7359 computations (55% saved)
40 alts after pruning (35 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 723 | 17 | 740 |
| Fresh | 17 | 18 | 35 |
| Picked | 0 | 1 | 1 |
| Done | 3 | 4 | 7 |
| Total | 743 | 40 | 783 |
| Status | Error | Program |
|---|---|---|
| 47.8b | (*.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) | |
| 46.5b | (/.f64 (+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) a) | |
| ✓ | 35.5b | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))) a) |
| 45.2b | (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))) | |
| 45.8b | (/.f64 (*.f64 b_2 -2) a) | |
| 45.9b | (/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a) | |
| 46.1b | (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3) | |
| ▶ | 47.0b | (*.f64 -1/2 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) -3)) |
| 60.7b | (pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3) | |
| 46.8b | (*.f64 -1/2 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))) 3)) | |
| 62.4b | (pow.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)) 3) | |
| 48.1b | (pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3) | |
| 62.5b | (pow.f64 (pow.f64 (*.f64 (/.f64 b_2 a) 2) 3) 1/3) | |
| ✓ | 59.2b | (/.f64 (neg.f64 b_2) a) |
| 58.8b | (sqrt.f64 (*.f64 (*.f64 b_2 (/.f64 b_2 (*.f64 a a))) 4)) | |
| 53.5b | (/.f64 (*.f64 -1/2 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 c (/.f64 a b_2)))) 3))) a) | |
| ▶ | 39.0b | (/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2))) a) |
| 45.0b | (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (fma.f64 b_2 2 (/.f64 (*.f64 a (*.f64 1/2 (neg.f64 c))) b_2))) a) | |
| ▶ | 45.8b | (*.f64 b_2 (/.f64 -2 a)) |
| 46.1b | (/.f64 (/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a)) | |
| 40.1b | (/.f64 -1/2 (/.f64 b_2 c)) | |
| 40.0b | (/.f64 c (/.f64 b_2 -1/2)) | |
| ✓ | 45.4b | (/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a) |
| ✓ | 35.5b | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| 62.4b | (/.f64 (*.f64 2 b_2) a) | |
| 46.1b | (/.f64 (fma.f64 (*.f64 (/.f64 c b_2) a) 1/2 (*.f64 -2 b_2)) a) | |
| 57.0b | (exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a)))) | |
| 52.6b | (/.f64 (sqrt.f64 (*.f64 1/4 (pow.f64 (*.f64 c (/.f64 a b_2)) 2))) a) | |
| 48.1b | (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (cbrt.f64 a))) | |
| 51.0b | (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))))) | |
| 59.6b | (sqrt.f64 (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (/.f64 b_2 a) 2))) 4)) | |
| ▶ | 63.0b | (exp.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))) |
| 54.1b | (expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 b_2 a)))) | |
| ▶ | 46.5b | (*.f64 -1/2 (*.f64 (/.f64 1 (*.f64 (/.f64 a c) b_2)) a)) |
| ✓ | 37.8b | (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a) |
| 47.0b | (-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1) | |
| 44.5b | (*.f64 -1/2 (/.f64 1 (/.f64 (/.f64 (/.f64 a (/.f64 a b_2)) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c)))) | |
| 46.0b | (+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2))) | |
| 47.6b | (expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) -1/2))) | |
| 46.8b | (/.f64 (/.f64 -1/2 (/.f64 a c)) (/.f64 b_2 a)) |
Compiled 1044 to 750 computations (28.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.4b | (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) | |
| ✓ | 5.6b | (exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2)) |
| ✓ | 21.4b | (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2))) |
| ✓ | 27.3b | (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) |
Compiled 81 to 23 computations (71.6% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | c | @ | inf | (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) |
| 2.0ms | b_2 | @ | 0 | (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) |
| 2.0ms | b_2 | @ | inf | (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) |
| 1.0ms | a | @ | inf | (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) |
| 1.0ms | a | @ | 0 | (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) |
| 1× | batch-egg-rewrite |
| 638× | log-prod_binary64 |
| 611× | fma-def_binary64 |
| 339× | pow2_binary64 |
| 323× | fma-neg_binary64 |
| 232× | expm1-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 43 |
| 1 | 288 | 39 |
| 2 | 3988 | 37 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) |
(+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (log.f64 (*.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (log.f64 (*.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))) 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(neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b_2 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b_2 -1 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) 1 b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2) (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b_2) 2) (cbrt.f64 b_2) (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b_2) 2) (neg.f64 (cbrt.f64 b_2)) (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b_2) (sqrt.f64 b_2) (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b_2) (neg.f64 (sqrt.f64 b_2)) (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 2)) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2))) (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3))) (sqrt.f64 (fma.f64 (*.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c)) (pow.f64 b_2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 2)) (cbrt.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) (sqrt.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) (sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 a c))) (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))) |
| 1× | egg-herbie |
| 803× | associate-*r*_binary64 |
| 781× | associate-/r*_binary64 |
| 739× | associate-/l*_binary64 |
| 677× | associate-*l*_binary64 |
| 332× | associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 220 | 2586 |
| 1 | 694 | 2486 |
| 2 | 2372 | 2420 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (neg.f64 (*.f64 c a))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b_2 2) (*.f64 c a))) (log.f64 (neg.f64 (*.f64 c a)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b_2 2) (*.f64 c a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b_2 4) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (log.f64 (neg.f64 (*.f64 c a))))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b_2 2) (*.f64 c a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b_2 4) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 b_2 6) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (log.f64 (neg.f64 (*.f64 c a)))))) |
(*.f64 -2 (log.f64 (/.f64 1 b_2))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (*.f64 -2 (log.f64 (/.f64 1 b_2)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4))) (*.f64 -2 (log.f64 (/.f64 1 b_2))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 6))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4))) (*.f64 -2 (log.f64 (/.f64 1 b_2)))))) |
(*.f64 -2 (log.f64 (/.f64 -1 b_2))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (*.f64 -2 (log.f64 (/.f64 -1 b_2)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 b_2))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 b_2))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 6))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4)))))) |
(log.f64 (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (log.f64 (pow.f64 b_2 2))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (+.f64 (log.f64 (pow.f64 b_2 2)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (+.f64 (log.f64 (pow.f64 b_2 2)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 6))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4)))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b_2 2) (*.f64 c a))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b_2 2) (*.f64 c a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b_2 4) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b_2 2) (*.f64 c a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b_2 4) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 b_2 6) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (log.f64 (neg.f64 c)))))) |
(+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b_2 2) (*.f64 c a))) (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a))))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b_2 2) (*.f64 c a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b_2 4) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b_2 2) (*.f64 c a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b_2 4) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 b_2 6) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 -1 (log.f64 (/.f64 -1 a))))))) |
(log.f64 (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (log.f64 (pow.f64 b_2 2))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (+.f64 (log.f64 (pow.f64 b_2 2)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (+.f64 (log.f64 (pow.f64 b_2 2)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 6))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4)))))) |
(+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b_2 2) (*.f64 c a))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (neg.f64 a)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b_2 2) (*.f64 c a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b_2 4) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (neg.f64 a))))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b_2 2) (*.f64 c a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b_2 4) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 c))) (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1/3 (/.f64 (pow.f64 b_2 6) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))))) |
(+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b_2 2) (*.f64 c a))) (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c))))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b_2 2) (*.f64 c a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b_2 4) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b_2 2) (*.f64 c a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b_2 4) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 c))) (*.f64 -1/3 (/.f64 (pow.f64 b_2 6) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1 b_2) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (pow.f64 b_2 7))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(*.f64 -2 b_2) |
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (*.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (pow.f64 a 4)) b_2)) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6))) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) 2))) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))) |
b_2 |
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(*.f64 -1 b_2) |
(+.f64 (*.f64 -1 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))))) |
b_2 |
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
b_2 |
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
| Outputs |
|---|
(log.f64 (neg.f64 (*.f64 c a))) |
(log.f64 (*.f64 c (neg.f64 a))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b_2 2) (*.f64 c a))) (log.f64 (neg.f64 (*.f64 c a)))) |
(fma.f64 -1 (/.f64 (*.f64 b_2 b_2) (*.f64 c a)) (log.f64 (*.f64 c (neg.f64 a)))) |
(-.f64 (log.f64 (*.f64 c (neg.f64 a))) (*.f64 (/.f64 b_2 a) (/.f64 b_2 c))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b_2 2) (*.f64 c a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b_2 4) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (log.f64 (neg.f64 (*.f64 c a))))) |
(fma.f64 -1 (/.f64 (*.f64 b_2 b_2) (*.f64 c a)) (fma.f64 -1/2 (/.f64 (pow.f64 b_2 4) (*.f64 (*.f64 c c) (*.f64 a a))) (log.f64 (*.f64 c (neg.f64 a))))) |
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 b_2 4) (*.f64 (*.f64 c a) (*.f64 c a))) (log.f64 (*.f64 c (neg.f64 a)))) (*.f64 (/.f64 b_2 a) (/.f64 b_2 c))) |
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (pow.f64 b_2 4) c) c) (*.f64 a a)) (log.f64 (*.f64 c (neg.f64 a)))) (*.f64 (/.f64 b_2 a) (/.f64 b_2 c))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b_2 2) (*.f64 c a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b_2 4) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 b_2 6) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (log.f64 (neg.f64 (*.f64 c a)))))) |
(fma.f64 -1 (/.f64 (*.f64 b_2 b_2) (*.f64 c a)) (fma.f64 -1/2 (/.f64 (pow.f64 b_2 4) (*.f64 (*.f64 c c) (*.f64 a a))) (fma.f64 -1/3 (/.f64 (pow.f64 b_2 6) (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (log.f64 (*.f64 c (neg.f64 a)))))) |
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 b_2 4) (*.f64 (*.f64 c a) (*.f64 c a))) (fma.f64 -1/3 (/.f64 (pow.f64 b_2 6) (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (log.f64 (*.f64 c (neg.f64 a))))) (*.f64 (/.f64 b_2 a) (/.f64 b_2 c))) |
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (pow.f64 b_2 4) c) c) (*.f64 a a)) (fma.f64 -1/3 (/.f64 (pow.f64 b_2 6) (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (log.f64 (*.f64 c (neg.f64 a))))) (*.f64 (/.f64 b_2 a) (/.f64 b_2 c))) |
(*.f64 -2 (log.f64 (/.f64 1 b_2))) |
(*.f64 -2 (neg.f64 (log.f64 b_2))) |
(*.f64 2 (log.f64 b_2)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (*.f64 -2 (log.f64 (/.f64 1 b_2)))) |
(fma.f64 -1 (/.f64 c (/.f64 (*.f64 b_2 b_2) a)) (*.f64 -2 (neg.f64 (log.f64 b_2)))) |
(fma.f64 -2 (neg.f64 (log.f64 b_2)) (*.f64 (/.f64 c b_2) (/.f64 (neg.f64 a) b_2))) |
(fma.f64 2 (log.f64 b_2) (/.f64 (/.f64 c (/.f64 b_2 (neg.f64 a))) b_2)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4))) (*.f64 -2 (log.f64 (/.f64 1 b_2))))) |
(fma.f64 -1 (/.f64 c (/.f64 (*.f64 b_2 b_2) a)) (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 4)) (*.f64 -2 (neg.f64 (log.f64 b_2))))) |
(-.f64 (fma.f64 -1/2 (/.f64 c (/.f64 (/.f64 (pow.f64 b_2 4) (*.f64 a a)) c)) (*.f64 -2 (neg.f64 (log.f64 b_2)))) (*.f64 (/.f64 c b_2) (/.f64 a b_2))) |
(-.f64 (fma.f64 -1/2 (/.f64 (*.f64 a (*.f64 c a)) (/.f64 (pow.f64 b_2 4) c)) (*.f64 2 (log.f64 b_2))) (*.f64 (/.f64 a (*.f64 b_2 b_2)) c)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 6))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4))) (*.f64 -2 (log.f64 (/.f64 1 b_2)))))) |
(fma.f64 -1 (/.f64 c (/.f64 (*.f64 b_2 b_2) a)) (fma.f64 -1/3 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 6)) (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 4)) (*.f64 -2 (neg.f64 (log.f64 b_2)))))) |
(-.f64 (fma.f64 -1/3 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6)) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 c (/.f64 (/.f64 (pow.f64 b_2 4) (*.f64 a a)) c)) (*.f64 -2 (neg.f64 (log.f64 b_2))))) (*.f64 (/.f64 c b_2) (/.f64 a b_2))) |
(-.f64 (fma.f64 -1/3 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6)) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 (*.f64 a (*.f64 c a)) (/.f64 (pow.f64 b_2 4) c)) (*.f64 2 (log.f64 b_2)))) (*.f64 (/.f64 a (*.f64 b_2 b_2)) c)) |
(*.f64 -2 (log.f64 (/.f64 -1 b_2))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (*.f64 -2 (log.f64 (/.f64 -1 b_2)))) |
(fma.f64 -1 (/.f64 c (/.f64 (*.f64 b_2 b_2) a)) (*.f64 -2 (log.f64 (/.f64 -1 b_2)))) |
(fma.f64 -2 (log.f64 (/.f64 -1 b_2)) (*.f64 (/.f64 c b_2) (/.f64 (neg.f64 a) b_2))) |
(fma.f64 -2 (log.f64 (/.f64 -1 b_2)) (/.f64 (/.f64 c (/.f64 b_2 (neg.f64 a))) b_2)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 b_2))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4))))) |
(fma.f64 -1 (/.f64 c (/.f64 (*.f64 b_2 b_2) a)) (fma.f64 -2 (log.f64 (/.f64 -1 b_2)) (*.f64 -1/2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 4))))) |
(-.f64 (fma.f64 -1/2 (/.f64 c (/.f64 (/.f64 (pow.f64 b_2 4) (*.f64 a a)) c)) (*.f64 -2 (log.f64 (/.f64 -1 b_2)))) (*.f64 (/.f64 c b_2) (/.f64 a b_2))) |
(-.f64 (fma.f64 -1/2 (/.f64 (*.f64 a (*.f64 c a)) (/.f64 (pow.f64 b_2 4) c)) (*.f64 -2 (log.f64 (/.f64 -1 b_2)))) (*.f64 (/.f64 a (*.f64 b_2 b_2)) c)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 b_2))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 6))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4)))))) |
(fma.f64 -1 (/.f64 c (/.f64 (*.f64 b_2 b_2) a)) (fma.f64 -2 (log.f64 (/.f64 -1 b_2)) (fma.f64 -1/3 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 6)) (*.f64 -1/2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 4)))))) |
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b_2)) (fma.f64 -1/2 (/.f64 c (/.f64 (/.f64 (pow.f64 b_2 4) (*.f64 a a)) c)) (/.f64 (*.f64 -1/3 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b_2 6)))) (*.f64 (/.f64 c b_2) (/.f64 a b_2))) |
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b_2)) (fma.f64 -1/2 (/.f64 (*.f64 a (*.f64 c a)) (/.f64 (pow.f64 b_2 4) c)) (/.f64 (*.f64 -1/3 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b_2 6)))) (*.f64 (/.f64 a (*.f64 b_2 b_2)) c)) |
(log.f64 (pow.f64 b_2 2)) |
(*.f64 -2 (neg.f64 (log.f64 b_2))) |
(*.f64 2 (log.f64 b_2)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (log.f64 (pow.f64 b_2 2))) |
(fma.f64 -1 (/.f64 c (/.f64 (*.f64 b_2 b_2) a)) (*.f64 -2 (neg.f64 (log.f64 b_2)))) |
(fma.f64 -2 (neg.f64 (log.f64 b_2)) (*.f64 (/.f64 c b_2) (/.f64 (neg.f64 a) b_2))) |
(fma.f64 2 (log.f64 b_2) (/.f64 (/.f64 c (/.f64 b_2 (neg.f64 a))) b_2)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (+.f64 (log.f64 (pow.f64 b_2 2)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4))))) |
(fma.f64 -1 (/.f64 c (/.f64 (*.f64 b_2 b_2) a)) (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 4)) (*.f64 -2 (neg.f64 (log.f64 b_2))))) |
(-.f64 (fma.f64 -1/2 (/.f64 c (/.f64 (/.f64 (pow.f64 b_2 4) (*.f64 a a)) c)) (*.f64 -2 (neg.f64 (log.f64 b_2)))) (*.f64 (/.f64 c b_2) (/.f64 a b_2))) |
(-.f64 (fma.f64 -1/2 (/.f64 (*.f64 a (*.f64 c a)) (/.f64 (pow.f64 b_2 4) c)) (*.f64 2 (log.f64 b_2))) (*.f64 (/.f64 a (*.f64 b_2 b_2)) c)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (+.f64 (log.f64 (pow.f64 b_2 2)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 6))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4)))))) |
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(/.f64 -1/2 (/.f64 (/.f64 b_2 c) a)) |
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(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))) |
(fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) (*.f64 c (*.f64 c (/.f64 (*.f64 a (*.f64 a -1/8)) (pow.f64 b_2 3))))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(fma.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))))) |
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) (*.f64 c (*.f64 c (/.f64 (*.f64 a (*.f64 a -1/8)) (pow.f64 b_2 3)))))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (pow.f64 b_2 7))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(fma.f64 -1/2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -1/8) 2)) (pow.f64 b_2 7)) (fma.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(fma.f64 -1/2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 1/64)) (pow.f64 b_2 7)) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))))) |
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 5/64) (pow.f64 b_2 7)) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) (*.f64 c (*.f64 c (/.f64 (*.f64 a (*.f64 a -1/8)) (pow.f64 b_2 3))))))) |
(*.f64 -2 b_2) |
(*.f64 b_2 -2) |
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) |
(fma.f64 -2 b_2 (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) |
(fma.f64 1/2 (/.f64 a (/.f64 b_2 c)) (*.f64 b_2 -2)) |
(fma.f64 b_2 -2 (*.f64 1/2 (*.f64 (/.f64 c b_2) a))) |
(+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))) |
(fma.f64 -2 b_2 (fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))) |
(fma.f64 b_2 -2 (fma.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) 1/8 (*.f64 1/2 (/.f64 a (/.f64 b_2 c))))) |
(fma.f64 b_2 -2 (fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a)) 1/8))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))))) |
(fma.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -2 b_2 (fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) 1/16 (fma.f64 b_2 -2 (fma.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) 1/8 (*.f64 1/2 (/.f64 a (/.f64 b_2 c)))))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) 1/16 (fma.f64 b_2 -2 (fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a)) 1/8)))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) |
(/.f64 -1/2 (/.f64 (/.f64 b_2 c) a)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))) |
(fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) (*.f64 c (*.f64 c (/.f64 (*.f64 a (*.f64 a -1/8)) (pow.f64 b_2 3))))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(fma.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))))) |
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) (*.f64 c (*.f64 c (/.f64 (*.f64 a (*.f64 a -1/8)) (pow.f64 b_2 3)))))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (*.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (pow.f64 a 4)) b_2)) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(fma.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.f64 -1/2 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (/.f64 (*.f64 c c) (pow.f64 b_2 3))) 2) (*.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (/.f64 b_2 (pow.f64 a 4))) (/.f64 (*.f64 c a) b_2))))) |
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/2 (+.f64 (/.f64 a (/.f64 b_2 c)) (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 1/64)) (/.f64 b_2 (pow.f64 a 4)))) (*.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a)))))) |
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/2 (+.f64 (*.f64 (/.f64 c b_2) a) (*.f64 (/.f64 (pow.f64 c 4) b_2) (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) 5/64))) (*.f64 c (*.f64 c (/.f64 (*.f64 a (*.f64 a -1/8)) (pow.f64 b_2 3)))))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) |
(/.f64 -1/2 (/.f64 (/.f64 b_2 c) a)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))) |
(fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) (*.f64 c (*.f64 c (/.f64 (*.f64 a (*.f64 a -1/8)) (pow.f64 b_2 3))))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(fma.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))))) |
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) (*.f64 c (*.f64 c (/.f64 (*.f64 a (*.f64 a -1/8)) (pow.f64 b_2 3)))))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6))) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) 2))) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(fma.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.f64 -1/2 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (/.f64 (*.f64 c c) (pow.f64 b_2 3))) 2) (*.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (/.f64 b_2 (pow.f64 a 4))) (/.f64 (*.f64 c a) b_2))))) |
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/2 (+.f64 (/.f64 a (/.f64 b_2 c)) (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 1/64)) (/.f64 b_2 (pow.f64 a 4)))) (*.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a)))))) |
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/2 (+.f64 (*.f64 (/.f64 c b_2) a) (*.f64 (/.f64 (pow.f64 c 4) b_2) (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) 5/64))) (*.f64 c (*.f64 c (/.f64 (*.f64 a (*.f64 a -1/8)) (pow.f64 b_2 3)))))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (*.f64 1/2 (/.f64 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 1 (*.f64 c a)))) (sqrt.f64 -1)))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 1 (*.f64 c a)))) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (/.f64 (/.f64 (pow.f64 b_2 4) -1) (sqrt.f64 -1)) -1/8)))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 b_2 4))) (*.f64 1/2 (/.f64 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 1 (*.f64 c a)))) (sqrt.f64 -1))))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 1 (*.f64 c a)))) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (/.f64 (/.f64 (pow.f64 b_2 4) -1) (sqrt.f64 -1)) -1/8))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 -1/8 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 b_2 4))) (*.f64 1/2 (/.f64 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 1 (*.f64 c a)))) (sqrt.f64 -1)))))) |
b_2 |
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2) |
(fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2)) |
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(fma.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2))) |
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2))) |
(*.f64 -1 b_2) |
(neg.f64 b_2) |
(+.f64 (*.f64 -1 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) |
(fma.f64 -1 b_2 (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) |
(fma.f64 1/2 (/.f64 a (/.f64 b_2 c)) (neg.f64 b_2)) |
(-.f64 (*.f64 1/2 (*.f64 (/.f64 c b_2) a)) b_2) |
(+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))) |
(fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))) |
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) 1/8 (*.f64 1/2 (/.f64 a (/.f64 b_2 c)))) b_2) |
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a)) 1/8)) b_2) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))))) |
(fma.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) 1/16 (-.f64 (fma.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) 1/8 (*.f64 1/2 (/.f64 a (/.f64 b_2 c)))) b_2)) |
(fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) 1/16 (-.f64 (fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a)) 1/8)) b_2)) |
b_2 |
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2) |
(fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2)) |
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(fma.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2))) |
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2))) |
b_2 |
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2) |
(fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2)) |
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(fma.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2))) |
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 b_2 (/.f64 -2 a)) |
Compiled 14 to 9 computations (35.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b_2 | @ | 0 | (*.f64 b_2 (/.f64 -2 a)) |
| 0.0ms | b_2 | @ | inf | (*.f64 b_2 (/.f64 -2 a)) |
| 0.0ms | a | @ | -inf | (*.f64 b_2 (/.f64 -2 a)) |
| 0.0ms | a | @ | inf | (*.f64 b_2 (/.f64 -2 a)) |
| 0.0ms | b_2 | @ | -inf | (*.f64 b_2 (/.f64 -2 a)) |
| 1× | batch-egg-rewrite |
| 616× | pow1_binary64 |
| 572× | add-log-exp_binary64 |
| 572× | log1p-expm1-u_binary64 |
| 572× | expm1-log1p-u_binary64 |
| 561× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 128 | 7 |
| 2 | 1556 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 b_2 (/.f64 -2 a)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 b_2 (/.f64 -2 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b_2 (*.f64 a -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 b_2 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b_2 -2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 b_2 -2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b_2 -2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b_2 -2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b_2 -2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 b_2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b_2 2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b_2 (/.f64 -2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 b_2 (/.f64 -2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 b_2 (/.f64 -2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 b_2 (/.f64 -2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 b_2 (/.f64 -2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b_2) (/.f64 -2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 b_2 (/.f64 -2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 b_2 (/.f64 -2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 b_2 (/.f64 -2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 b_2 (/.f64 -2 a)))))))) |
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 2× | associate-/l*_binary64 |
| 1× | associate-*r/_binary64 |
| 1× | associate-*l/_binary64 |
| 1× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 168 |
| 1 | 9 | 168 |
| 2 | 13 | 168 |
| 3 | 17 | 168 |
| 4 | 18 | 168 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
| Outputs |
|---|
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 -2 (/.f64 b_2 a)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 -1/2 (*.f64 (/.f64 1 (*.f64 (/.f64 a c) b_2)) a)) |
| ✓ | 0.4b | (/.f64 1 (*.f64 (/.f64 a c) b_2)) |
| ✓ | 5.0b | (*.f64 (/.f64 a c) b_2) |
| ✓ | 9.5b | (*.f64 (/.f64 1 (*.f64 (/.f64 a c) b_2)) a) |
Compiled 43 to 17 computations (60.5% saved)
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | b_2 | @ | -inf | (*.f64 (/.f64 1 (*.f64 (/.f64 a c) b_2)) a) |
| 5.0ms | a | @ | inf | (/.f64 1 (*.f64 (/.f64 a c) b_2)) |
| 1.0ms | c | @ | 0 | (*.f64 (/.f64 a c) b_2) |
| 1.0ms | c | @ | -inf | (/.f64 1 (*.f64 (/.f64 a c) b_2)) |
| 1.0ms | c | @ | 0 | (/.f64 1 (*.f64 (/.f64 a c) b_2)) |
| 1× | batch-egg-rewrite |
| 602× | log-prod_binary64 |
| 459× | exp-prod_binary64 |
| 362× | pow-prod-down_binary64 |
| 286× | pow2_binary64 |
| 249× | pow-unpow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 40 |
| 1 | 230 | 37 |
| 2 | 2983 | 37 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (*.f64 (/.f64 a c) b_2)) a) |
(*.f64 (/.f64 a c) b_2) |
(/.f64 1 (*.f64 (/.f64 a c) b_2)) |
(*.f64 -1/2 (*.f64 (/.f64 1 (*.f64 (/.f64 a c) b_2)) a)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 c a) (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 (/.f64 c a) b_2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 (/.f64 c a) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 (/.f64 c a) b_2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 (/.f64 c a) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (/.f64 a c) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (*.f64 (/.f64 a c) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 a) 2) (/.f64 (*.f64 (/.f64 a c) b_2) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 a) (/.f64 (*.f64 (/.f64 a c) b_2) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 a) (*.f64 (/.f64 a c) (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a b_2) (/.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a (/.f64 a c)) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a (sqrt.f64 (*.f64 (/.f64 a c) b_2))) (sqrt.f64 (*.f64 (/.f64 a c) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a 1) (*.f64 (/.f64 a c) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a (pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) b_2)) 2)) (cbrt.f64 (*.f64 (/.f64 a c) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 c a) a) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a -1) (*.f64 (/.f64 a c) (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (/.f64 c a)) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 a 3) (pow.f64 (*.f64 (/.f64 a c) b_2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 a c) b_2) a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (/.f64 (/.f64 c a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (*.f64 (/.f64 a c) b_2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))) 1) 1)))))) |
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 c a) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 c a) b_2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 c a) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 c a) b_2)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 c a) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 c a) b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 c a) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 c a) b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 c a) b_2)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 c a) b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 c a) b_2)) 2) (cbrt.f64 (/.f64 (/.f64 c a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 c a) b_2)) (sqrt.f64 (/.f64 (/.f64 c a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 (/.f64 a c) (neg.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c a) (/.f64 1 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b_2) (/.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) b_2)) -2) (cbrt.f64 (/.f64 (/.f64 c a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 a b_2)) c)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 a c) b_2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 c a) b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 (/.f64 c a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 a c) b_2) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 a c) b_2) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 a c) b_2) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 a c) b_2) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 c a) b_2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) b_2)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 c a) b_2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 a c) b_2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log.f64 (*.f64 (/.f64 a c) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (*.f64 (/.f64 a c) (neg.f64 b_2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 c a) b_2))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 c a) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 c a) b_2)))) (sqrt.f64 (log.f64 (/.f64 (/.f64 c a) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 a c) b_2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 c a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 c a) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 a c) b_2) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 c a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 c a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 c a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a c) b_2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 c a) b_2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (/.f64 c a) b_2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 c a) b_2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 c a) b_2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 a c) b_2)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 a c) b_2)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 c a) b_2)) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (/.f64 c a) (/.f64 a b_2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (/.f64 c a) (/.f64 a b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (/.f64 c a) (/.f64 a b_2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (/.f64 c a) (/.f64 a b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a -1/2) (*.f64 (/.f64 a c) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 a) (*.f64 (/.f64 a c) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) 2) 1/4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2))) 2)) (cbrt.f64 (log.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2)))) (sqrt.f64 (log.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (/.f64 c a) (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2)) 1) 1)))))) |
| 1× | egg-herbie |
| 6× | *-commutative_binary64 |
| 4× | associate-/l*_binary64 |
| 3× | associate-/r/_binary64 |
| 2× | associate-/r*_binary64 |
| 1× | associate-*r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 900 |
| 1 | 17 | 900 |
| 2 | 25 | 900 |
| 3 | 31 | 900 |
| 4 | 33 | 900 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 c (*.f64 a b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
| Outputs |
|---|
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 c b_2) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 a (/.f64 c b_2)) |
(*.f64 (/.f64 a c) b_2) |
(*.f64 b_2 (/.f64 a c)) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 a (/.f64 c b_2)) |
(*.f64 (/.f64 a c) b_2) |
(*.f64 b_2 (/.f64 a c)) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 a (/.f64 c b_2)) |
(*.f64 (/.f64 a c) b_2) |
(*.f64 b_2 (/.f64 a c)) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 a (/.f64 c b_2)) |
(*.f64 (/.f64 a c) b_2) |
(*.f64 b_2 (/.f64 a c)) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 a (/.f64 c b_2)) |
(*.f64 (/.f64 a c) b_2) |
(*.f64 b_2 (/.f64 a c)) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 a (/.f64 c b_2)) |
(*.f64 (/.f64 a c) b_2) |
(*.f64 b_2 (/.f64 a c)) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 a (/.f64 c b_2)) |
(*.f64 (/.f64 a c) b_2) |
(*.f64 b_2 (/.f64 a c)) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 a (/.f64 c b_2)) |
(*.f64 (/.f64 a c) b_2) |
(*.f64 b_2 (/.f64 a c)) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 a (/.f64 c b_2)) |
(*.f64 (/.f64 a c) b_2) |
(*.f64 b_2 (/.f64 a c)) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 a (/.f64 c b_2)) |
(*.f64 (/.f64 a c) b_2) |
(*.f64 b_2 (/.f64 a c)) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 a (/.f64 c b_2)) |
(*.f64 (/.f64 a c) b_2) |
(*.f64 b_2 (/.f64 a c)) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 a (/.f64 c b_2)) |
(*.f64 (/.f64 a c) b_2) |
(*.f64 b_2 (/.f64 a c)) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 a (/.f64 c b_2)) |
(*.f64 (/.f64 a c) b_2) |
(*.f64 b_2 (/.f64 a c)) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 a (/.f64 c b_2)) |
(*.f64 (/.f64 a c) b_2) |
(*.f64 b_2 (/.f64 a c)) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 a (/.f64 c b_2)) |
(*.f64 (/.f64 a c) b_2) |
(*.f64 b_2 (/.f64 a c)) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 a (/.f64 c b_2)) |
(*.f64 (/.f64 a c) b_2) |
(*.f64 b_2 (/.f64 a c)) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 a (/.f64 c b_2)) |
(*.f64 (/.f64 a c) b_2) |
(*.f64 b_2 (/.f64 a c)) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 a (/.f64 c b_2)) |
(*.f64 (/.f64 a c) b_2) |
(*.f64 b_2 (/.f64 a c)) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 a (/.f64 c b_2)) |
(*.f64 (/.f64 a c) b_2) |
(*.f64 b_2 (/.f64 a c)) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 a (/.f64 c b_2)) |
(*.f64 (/.f64 a c) b_2) |
(*.f64 b_2 (/.f64 a c)) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 a (/.f64 c b_2)) |
(*.f64 (/.f64 a c) b_2) |
(*.f64 b_2 (/.f64 a c)) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 a (/.f64 c b_2)) |
(*.f64 (/.f64 a c) b_2) |
(*.f64 b_2 (/.f64 a c)) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 a (/.f64 c b_2)) |
(*.f64 (/.f64 a c) b_2) |
(*.f64 b_2 (/.f64 a c)) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 a (/.f64 c b_2)) |
(*.f64 (/.f64 a c) b_2) |
(*.f64 b_2 (/.f64 a c)) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 a (/.f64 c b_2)) |
(*.f64 (/.f64 a c) b_2) |
(*.f64 b_2 (/.f64 a c)) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 a (/.f64 c b_2)) |
(*.f64 (/.f64 a c) b_2) |
(*.f64 b_2 (/.f64 a c)) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 a (/.f64 c b_2)) |
(*.f64 (/.f64 a c) b_2) |
(*.f64 b_2 (/.f64 a c)) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 a (/.f64 c b_2)) |
(*.f64 (/.f64 a c) b_2) |
(*.f64 b_2 (/.f64 a c)) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 a (/.f64 c b_2)) |
(*.f64 (/.f64 a c) b_2) |
(*.f64 b_2 (/.f64 a c)) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 a (/.f64 c b_2)) |
(*.f64 (/.f64 a c) b_2) |
(*.f64 b_2 (/.f64 a c)) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 a (/.f64 c b_2)) |
(*.f64 (/.f64 a c) b_2) |
(*.f64 b_2 (/.f64 a c)) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 a (/.f64 c b_2)) |
(*.f64 (/.f64 a c) b_2) |
(*.f64 b_2 (/.f64 a c)) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 a (/.f64 c b_2)) |
(*.f64 (/.f64 a c) b_2) |
(*.f64 b_2 (/.f64 a c)) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 a (/.f64 c b_2)) |
(*.f64 (/.f64 a c) b_2) |
(*.f64 b_2 (/.f64 a c)) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 a (/.f64 c b_2)) |
(*.f64 (/.f64 a c) b_2) |
(*.f64 b_2 (/.f64 a c)) |
(/.f64 (*.f64 a b_2) c) |
(/.f64 a (/.f64 c b_2)) |
(*.f64 (/.f64 a c) b_2) |
(*.f64 b_2 (/.f64 a c)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 (/.f64 c a) b_2) |
(/.f64 c (*.f64 b_2 a)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 (/.f64 c a) b_2) |
(/.f64 c (*.f64 b_2 a)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 (/.f64 c a) b_2) |
(/.f64 c (*.f64 b_2 a)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 (/.f64 c a) b_2) |
(/.f64 c (*.f64 b_2 a)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 (/.f64 c a) b_2) |
(/.f64 c (*.f64 b_2 a)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 (/.f64 c a) b_2) |
(/.f64 c (*.f64 b_2 a)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 (/.f64 c a) b_2) |
(/.f64 c (*.f64 b_2 a)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 (/.f64 c a) b_2) |
(/.f64 c (*.f64 b_2 a)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 (/.f64 c a) b_2) |
(/.f64 c (*.f64 b_2 a)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 (/.f64 c a) b_2) |
(/.f64 c (*.f64 b_2 a)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 (/.f64 c a) b_2) |
(/.f64 c (*.f64 b_2 a)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 (/.f64 c a) b_2) |
(/.f64 c (*.f64 b_2 a)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 (/.f64 c a) b_2) |
(/.f64 c (*.f64 b_2 a)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 (/.f64 c a) b_2) |
(/.f64 c (*.f64 b_2 a)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 (/.f64 c a) b_2) |
(/.f64 c (*.f64 b_2 a)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 (/.f64 c a) b_2) |
(/.f64 c (*.f64 b_2 a)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 (/.f64 c a) b_2) |
(/.f64 c (*.f64 b_2 a)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 (/.f64 c a) b_2) |
(/.f64 c (*.f64 b_2 a)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 (/.f64 c a) b_2) |
(/.f64 c (*.f64 b_2 a)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 (/.f64 c a) b_2) |
(/.f64 c (*.f64 b_2 a)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 (/.f64 c a) b_2) |
(/.f64 c (*.f64 b_2 a)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 (/.f64 c a) b_2) |
(/.f64 c (*.f64 b_2 a)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 (/.f64 c a) b_2) |
(/.f64 c (*.f64 b_2 a)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 (/.f64 c a) b_2) |
(/.f64 c (*.f64 b_2 a)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 (/.f64 c a) b_2) |
(/.f64 c (*.f64 b_2 a)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 (/.f64 c a) b_2) |
(/.f64 c (*.f64 b_2 a)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 (/.f64 c a) b_2) |
(/.f64 c (*.f64 b_2 a)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 (/.f64 c a) b_2) |
(/.f64 c (*.f64 b_2 a)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 (/.f64 c a) b_2) |
(/.f64 c (*.f64 b_2 a)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 (/.f64 c a) b_2) |
(/.f64 c (*.f64 b_2 a)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 (/.f64 c a) b_2) |
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(/.f64 c (*.f64 a b_2)) |
(/.f64 (/.f64 c a) b_2) |
(/.f64 c (*.f64 b_2 a)) |
(/.f64 c (*.f64 a b_2)) |
(/.f64 (/.f64 c a) b_2) |
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(/.f64 (/.f64 c a) b_2) |
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(/.f64 (/.f64 c a) b_2) |
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(/.f64 c (*.f64 a b_2)) |
(/.f64 (/.f64 c a) b_2) |
(/.f64 c (*.f64 b_2 a)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 (/.f64 -1/2 b_2) c) |
(*.f64 c (/.f64 -1/2 b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 (/.f64 -1/2 b_2) c) |
(*.f64 c (/.f64 -1/2 b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 (/.f64 -1/2 b_2) c) |
(*.f64 c (/.f64 -1/2 b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 (/.f64 -1/2 b_2) c) |
(*.f64 c (/.f64 -1/2 b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 (/.f64 -1/2 b_2) c) |
(*.f64 c (/.f64 -1/2 b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 (/.f64 -1/2 b_2) c) |
(*.f64 c (/.f64 -1/2 b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 (/.f64 -1/2 b_2) c) |
(*.f64 c (/.f64 -1/2 b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 (/.f64 -1/2 b_2) c) |
(*.f64 c (/.f64 -1/2 b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
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(*.f64 (/.f64 -1/2 b_2) c) |
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(*.f64 -1/2 (/.f64 c b_2)) |
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(*.f64 (/.f64 -1/2 b_2) c) |
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(*.f64 (/.f64 -1/2 b_2) c) |
(*.f64 c (/.f64 -1/2 b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 (/.f64 -1/2 b_2) c) |
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(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 (/.f64 -1/2 b_2) c) |
(*.f64 c (/.f64 -1/2 b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 (/.f64 -1/2 b_2) c) |
(*.f64 c (/.f64 -1/2 b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
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(*.f64 (/.f64 -1/2 b_2) c) |
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(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 (/.f64 -1/2 b_2) c) |
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(*.f64 -1/2 (/.f64 c b_2)) |
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(*.f64 (/.f64 -1/2 b_2) c) |
(*.f64 c (/.f64 -1/2 b_2)) |
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(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 (/.f64 -1/2 b_2) c) |
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(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 (/.f64 -1/2 b_2) c) |
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(*.f64 (/.f64 -1/2 b_2) c) |
(*.f64 c (/.f64 -1/2 b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 (/.f64 -1/2 b_2) c) |
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(*.f64 -1/2 (/.f64 c b_2)) |
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(*.f64 (/.f64 -1/2 b_2) c) |
(*.f64 c (/.f64 -1/2 b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 (/.f64 -1/2 b_2) c) |
(*.f64 c (/.f64 -1/2 b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 (/.f64 -1/2 b_2) c) |
(*.f64 c (/.f64 -1/2 b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 (/.f64 -1/2 b_2) c) |
(*.f64 c (/.f64 -1/2 b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 (/.f64 -1/2 b_2) c) |
(*.f64 c (/.f64 -1/2 b_2)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (/.f64 b_2 a) 2) |
| ✓ | 2.4b | (exp.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))) |
| ✓ | 8.1b | (log.f64 (*.f64 (/.f64 b_2 a) 2)) |
Compiled 27 to 14 computations (48.1% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 61.0ms | b_2 | @ | -inf | (log.f64 (*.f64 (/.f64 b_2 a) 2)) |
| 29.0ms | b_2 | @ | 0 | (log.f64 (*.f64 (/.f64 b_2 a) 2)) |
| 23.0ms | a | @ | 0 | (log.f64 (*.f64 (/.f64 b_2 a) 2)) |
| 20.0ms | a | @ | -inf | (log.f64 (*.f64 (/.f64 b_2 a) 2)) |
| 10.0ms | a | @ | inf | (log.f64 (*.f64 (/.f64 b_2 a) 2)) |
| 1× | batch-egg-rewrite |
| 740× | pow1_binary64 |
| 685× | add-log-exp_binary64 |
| 685× | log1p-expm1-u_binary64 |
| 685× | expm1-log1p-u_binary64 |
| 671× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 23 |
| 1 | 152 | 23 |
| 2 | 1822 | 23 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (*.f64 (/.f64 b_2 a) 2)) |
(exp.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))) |
(*.f64 (/.f64 b_2 a) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (log.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 b_2 a)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 b_2 a)) (*.f64 (log.f64 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (*.f64 4 (pow.f64 (/.f64 b_2 a) 2)))) (log.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 b_2 a) 2))) (log.f64 (sqrt.f64 (*.f64 (/.f64 b_2 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (*.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (*.f64 (/.f64 b_2 a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (*.f64 b_2 2)) (log.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (*.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))) 2) (cbrt.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))) (sqrt.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 (/.f64 b_2 a)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (log.f64 (/.f64 b_2 a)) (log.f64 (/.f64 b_2 a))) (-.f64 (*.f64 (log.f64 2) (log.f64 2)) (*.f64 (log.f64 (/.f64 b_2 a)) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 (/.f64 b_2 a)) (log.f64 (/.f64 b_2 a))) (*.f64 (log.f64 2) (log.f64 2))) (-.f64 (log.f64 (/.f64 b_2 a)) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (*.f64 (/.f64 b_2 a) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 (/.f64 b_2 a) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 b_2 a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b_2 (*.f64 (/.f64 1 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b_2 a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b_2 a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 b_2 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)) (cbrt.f64 (*.f64 4 (pow.f64 (/.f64 b_2 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4 (pow.f64 (/.f64 b_2 a) 2))) (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (*.f64 (cbrt.f64 (/.f64 b_2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 b_2 a) 2)) (sqrt.f64 (*.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b_2 a)) (*.f64 (sqrt.f64 (/.f64 b_2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b_2 2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b_2 1) (/.f64 2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)) (/.f64 2 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b_2 (sqrt.f64 a)) (/.f64 2 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (cbrt.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (/.f64 b_2 a))) (sqrt.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b_2 (/.f64 a 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 b_2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b_2 2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 b_2 2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b_2 2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b_2 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b_2 2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b_2) 2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 b_2 a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 b_2 a) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 b_2 a) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2)))) (sqrt.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 b_2 a) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 b_2 a) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 (/.f64 b_2 a) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 b_2 a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b_2 (/.f64 a 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 b_2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b_2 2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 b_2 2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b_2 2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b_2 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b_2 2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b_2) 2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 b_2 a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 b_2 a) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 b_2 a) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2)))) (sqrt.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 b_2 a) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))))))) |
| 1× | egg-herbie |
| 926× | fma-neg_binary64 |
| 373× | fma-def_binary64 |
| 223× | cancel-sign-sub-inv_binary64 |
| 217× | distribute-rgt-in_binary64 |
| 165× | associate--r+_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 632 |
| 1 | 68 | 624 |
| 2 | 114 | 624 |
| 3 | 289 | 624 |
| 4 | 744 | 624 |
| 5 | 1458 | 624 |
| 6 | 2518 | 624 |
| 7 | 3241 | 624 |
| 8 | 3476 | 624 |
| 9 | 3503 | 624 |
| 10 | 3503 | 624 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2)) |
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2)) |
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2)) |
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b_2))) (log.f64 (/.f64 2 a))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b_2))) (log.f64 (/.f64 2 a))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b_2))) (log.f64 (/.f64 2 a))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b_2))) (log.f64 (/.f64 2 a))) |
(+.f64 (log.f64 (/.f64 -2 a)) (*.f64 -1 (log.f64 (/.f64 -1 b_2)))) |
(+.f64 (log.f64 (/.f64 -2 a)) (*.f64 -1 (log.f64 (/.f64 -1 b_2)))) |
(+.f64 (log.f64 (/.f64 -2 a)) (*.f64 -1 (log.f64 (/.f64 -1 b_2)))) |
(+.f64 (log.f64 (/.f64 -2 a)) (*.f64 -1 (log.f64 (/.f64 -1 b_2)))) |
(+.f64 (*.f64 -1 (log.f64 a)) (log.f64 (*.f64 2 b_2))) |
(+.f64 (*.f64 -1 (log.f64 a)) (log.f64 (*.f64 2 b_2))) |
(+.f64 (*.f64 -1 (log.f64 a)) (log.f64 (*.f64 2 b_2))) |
(+.f64 (*.f64 -1 (log.f64 a)) (log.f64 (*.f64 2 b_2))) |
(+.f64 (log.f64 (/.f64 1 a)) (log.f64 (*.f64 2 b_2))) |
(+.f64 (log.f64 (/.f64 1 a)) (log.f64 (*.f64 2 b_2))) |
(+.f64 (log.f64 (/.f64 1 a)) (log.f64 (*.f64 2 b_2))) |
(+.f64 (log.f64 (/.f64 1 a)) (log.f64 (*.f64 2 b_2))) |
(+.f64 (log.f64 (/.f64 -1 a)) (log.f64 (*.f64 -2 b_2))) |
(+.f64 (log.f64 (/.f64 -1 a)) (log.f64 (*.f64 -2 b_2))) |
(+.f64 (log.f64 (/.f64 -1 a)) (log.f64 (*.f64 -2 b_2))) |
(+.f64 (log.f64 (/.f64 -1 a)) (log.f64 (*.f64 -2 b_2))) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 2 (/.f64 b_2 a)) |
| Outputs |
|---|
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2)) |
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2)) |
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2)) |
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b_2))) (log.f64 (/.f64 2 a))) |
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b_2))) (log.f64 (/.f64 2 a))) |
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b_2))) (log.f64 (/.f64 2 a))) |
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b_2))) (log.f64 (/.f64 2 a))) |
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2)) |
(+.f64 (log.f64 (/.f64 -2 a)) (*.f64 -1 (log.f64 (/.f64 -1 b_2)))) |
(+.f64 (log.f64 (/.f64 -2 a)) (neg.f64 (log.f64 (/.f64 -1 b_2)))) |
(-.f64 (log.f64 (/.f64 -2 a)) (log.f64 (/.f64 -1 b_2))) |
(+.f64 (log.f64 (/.f64 -2 a)) (*.f64 -1 (log.f64 (/.f64 -1 b_2)))) |
(+.f64 (log.f64 (/.f64 -2 a)) (neg.f64 (log.f64 (/.f64 -1 b_2)))) |
(-.f64 (log.f64 (/.f64 -2 a)) (log.f64 (/.f64 -1 b_2))) |
(+.f64 (log.f64 (/.f64 -2 a)) (*.f64 -1 (log.f64 (/.f64 -1 b_2)))) |
(+.f64 (log.f64 (/.f64 -2 a)) (neg.f64 (log.f64 (/.f64 -1 b_2)))) |
(-.f64 (log.f64 (/.f64 -2 a)) (log.f64 (/.f64 -1 b_2))) |
(+.f64 (log.f64 (/.f64 -2 a)) (*.f64 -1 (log.f64 (/.f64 -1 b_2)))) |
(+.f64 (log.f64 (/.f64 -2 a)) (neg.f64 (log.f64 (/.f64 -1 b_2)))) |
(-.f64 (log.f64 (/.f64 -2 a)) (log.f64 (/.f64 -1 b_2))) |
(+.f64 (*.f64 -1 (log.f64 a)) (log.f64 (*.f64 2 b_2))) |
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2)) |
(+.f64 (*.f64 -1 (log.f64 a)) (log.f64 (*.f64 2 b_2))) |
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2)) |
(+.f64 (*.f64 -1 (log.f64 a)) (log.f64 (*.f64 2 b_2))) |
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2)) |
(+.f64 (*.f64 -1 (log.f64 a)) (log.f64 (*.f64 2 b_2))) |
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2)) |
(+.f64 (log.f64 (/.f64 1 a)) (log.f64 (*.f64 2 b_2))) |
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2)) |
(+.f64 (log.f64 (/.f64 1 a)) (log.f64 (*.f64 2 b_2))) |
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2)) |
(+.f64 (log.f64 (/.f64 1 a)) (log.f64 (*.f64 2 b_2))) |
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2)) |
(+.f64 (log.f64 (/.f64 1 a)) (log.f64 (*.f64 2 b_2))) |
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2)) |
(+.f64 (log.f64 (/.f64 -1 a)) (log.f64 (*.f64 -2 b_2))) |
(+.f64 (log.f64 (/.f64 -1 a)) (log.f64 (*.f64 b_2 -2))) |
(+.f64 (log.f64 (/.f64 -1 a)) (log.f64 (*.f64 -2 b_2))) |
(+.f64 (log.f64 (/.f64 -1 a)) (log.f64 (*.f64 b_2 -2))) |
(+.f64 (log.f64 (/.f64 -1 a)) (log.f64 (*.f64 -2 b_2))) |
(+.f64 (log.f64 (/.f64 -1 a)) (log.f64 (*.f64 b_2 -2))) |
(+.f64 (log.f64 (/.f64 -1 a)) (log.f64 (*.f64 -2 b_2))) |
(+.f64 (log.f64 (/.f64 -1 a)) (log.f64 (*.f64 b_2 -2))) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
(*.f64 2 (/.f64 b_2 a)) |
(*.f64 (/.f64 2 a) b_2) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 -1/2 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) -3)) |
| ✓ | 0.5b | (pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) -3) |
| 12.5b | (*.f64 (/.f64 a c) (/.f64 b_2 a)) | |
| ✓ | 15.4b | (cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) |
Compiled 51 to 15 computations (70.6% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | c | @ | -inf | (*.f64 -1/2 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) -3)) |
| 2.0ms | b_2 | @ | -inf | (*.f64 -1/2 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) -3)) |
| 2.0ms | c | @ | -inf | (pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) -3) |
| 2.0ms | a | @ | 0 | (cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) |
| 1.0ms | c | @ | 0 | (pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) -3) |
| 1× | batch-egg-rewrite |
| 663× | log-prod_binary64 |
| 457× | pow-prod-down_binary64 |
| 336× | pow2_binary64 |
| 250× | pow-unpow_binary64 |
| 235× | pow1/3_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 45 |
| 1 | 262 | 41 |
| 2 | 3459 | 35 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) -3) |
(*.f64 -1/2 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) -3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b_2 a)) (cbrt.f64 (/.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 a c)) (cbrt.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)) 1/6) (pow.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 a (/.f64 b_2 a))) (cbrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (/.f64 a c) b_2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 a b_2)) (cbrt.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 a (/.f64 (*.f64 a c) b_2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 c a) (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 c a) (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))) (cbrt.f64 (pow.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)) -2)) (cbrt.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c a) (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))) (sqrt.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)))) -6) (cbrt.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (/.f64 c a)) (/.f64 a b_2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (/.f64 c a)) (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (/.f64 c a)) (/.f64 a b_2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (/.f64 c a)) (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (pow.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (/.f64 c a)) (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2)) 1)))))) |
| 1× | egg-herbie |
| 1290× | sqr-pow_binary64 |
| 666× | pow-sqr_binary64 |
| 625× | cube-prod_binary64 |
| 555× | fabs-mul_binary64 |
| 373× | unpow3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 408 |
| 1 | 30 | 372 |
| 2 | 45 | 372 |
| 3 | 68 | 372 |
| 4 | 104 | 372 |
| 5 | 201 | 372 |
| 6 | 591 | 372 |
| 7 | 1258 | 372 |
| 8 | 1350 | 372 |
| 9 | 1488 | 372 |
| 10 | 1651 | 372 |
| 11 | 1889 | 372 |
| 12 | 2216 | 372 |
| 13 | 2642 | 372 |
| 14 | 3149 | 372 |
| 15 | 3754 | 372 |
| 16 | 4477 | 372 |
| 17 | 4800 | 372 |
| 18 | 5084 | 372 |
| 19 | 5304 | 372 |
| 20 | 5482 | 372 |
| 21 | 5564 | 372 |
| 22 | 6507 | 372 |
| 23 | 7484 | 372 |
| 24 | 7950 | 372 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (/.f64 b_2 c) 1/3) |
(pow.f64 (/.f64 b_2 c) 1/3) |
(pow.f64 (/.f64 b_2 c) 1/3) |
(pow.f64 (/.f64 b_2 c) 1/3) |
(pow.f64 (/.f64 b_2 c) 1/3) |
(pow.f64 (/.f64 b_2 c) 1/3) |
(pow.f64 (/.f64 b_2 c) 1/3) |
(pow.f64 (/.f64 b_2 c) 1/3) |
(pow.f64 (/.f64 b_2 c) 1/3) |
(pow.f64 (/.f64 b_2 c) 1/3) |
(pow.f64 (/.f64 b_2 c) 1/3) |
(pow.f64 (/.f64 b_2 c) 1/3) |
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3)) |
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3)) |
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3)) |
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3)) |
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3)) |
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3)) |
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3)) |
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3)) |
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3)) |
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3)) |
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3)) |
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 -1/2 (/.f64 c b_2)) |
| Outputs |
|---|
(pow.f64 (/.f64 b_2 c) 1/3) |
(cbrt.f64 (/.f64 b_2 c)) |
(pow.f64 (/.f64 b_2 c) 1/3) |
(cbrt.f64 (/.f64 b_2 c)) |
(pow.f64 (/.f64 b_2 c) 1/3) |
(cbrt.f64 (/.f64 b_2 c)) |
(pow.f64 (/.f64 b_2 c) 1/3) |
(cbrt.f64 (/.f64 b_2 c)) |
(pow.f64 (/.f64 b_2 c) 1/3) |
(cbrt.f64 (/.f64 b_2 c)) |
(pow.f64 (/.f64 b_2 c) 1/3) |
(cbrt.f64 (/.f64 b_2 c)) |
(pow.f64 (/.f64 b_2 c) 1/3) |
(cbrt.f64 (/.f64 b_2 c)) |
(pow.f64 (/.f64 b_2 c) 1/3) |
(cbrt.f64 (/.f64 b_2 c)) |
(pow.f64 (/.f64 b_2 c) 1/3) |
(cbrt.f64 (/.f64 b_2 c)) |
(pow.f64 (/.f64 b_2 c) 1/3) |
(cbrt.f64 (/.f64 b_2 c)) |
(pow.f64 (/.f64 b_2 c) 1/3) |
(cbrt.f64 (/.f64 b_2 c)) |
(pow.f64 (/.f64 b_2 c) 1/3) |
(cbrt.f64 (/.f64 b_2 c)) |
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3)) |
(*.f64 (/.f64 c b_2) 1) |
(/.f64 c b_2) |
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3)) |
(*.f64 (/.f64 c b_2) 1) |
(/.f64 c b_2) |
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3)) |
(*.f64 (/.f64 c b_2) 1) |
(/.f64 c b_2) |
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3)) |
(*.f64 (/.f64 c b_2) 1) |
(/.f64 c b_2) |
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3)) |
(*.f64 (/.f64 c b_2) 1) |
(/.f64 c b_2) |
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3)) |
(*.f64 (/.f64 c b_2) 1) |
(/.f64 c b_2) |
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3)) |
(*.f64 (/.f64 c b_2) 1) |
(/.f64 c b_2) |
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3)) |
(*.f64 (/.f64 c b_2) 1) |
(/.f64 c b_2) |
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3)) |
(*.f64 (/.f64 c b_2) 1) |
(/.f64 c b_2) |
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3)) |
(*.f64 (/.f64 c b_2) 1) |
(/.f64 c b_2) |
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3)) |
(*.f64 (/.f64 c b_2) 1) |
(/.f64 c b_2) |
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3)) |
(*.f64 (/.f64 c b_2) 1) |
(/.f64 c b_2) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 c (/.f64 -1/2 b_2)) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 c (/.f64 -1/2 b_2)) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 c (/.f64 -1/2 b_2)) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 c (/.f64 -1/2 b_2)) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 c (/.f64 -1/2 b_2)) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 c (/.f64 -1/2 b_2)) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 c (/.f64 -1/2 b_2)) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 c (/.f64 -1/2 b_2)) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 c (/.f64 -1/2 b_2)) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 c (/.f64 -1/2 b_2)) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 c (/.f64 -1/2 b_2)) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 c (/.f64 -1/2 b_2)) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 c (/.f64 -1/2 b_2)) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 c (/.f64 -1/2 b_2)) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 c (/.f64 -1/2 b_2)) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 c (/.f64 -1/2 b_2)) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 c (/.f64 -1/2 b_2)) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 c (/.f64 -1/2 b_2)) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 c (/.f64 -1/2 b_2)) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 c (/.f64 -1/2 b_2)) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 c (/.f64 -1/2 b_2)) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 c (/.f64 -1/2 b_2)) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 c (/.f64 -1/2 b_2)) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 c (/.f64 -1/2 b_2)) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 c (/.f64 -1/2 b_2)) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 c (/.f64 -1/2 b_2)) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 c (/.f64 -1/2 b_2)) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 c (/.f64 -1/2 b_2)) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 c (/.f64 -1/2 b_2)) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 c (/.f64 -1/2 b_2)) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 c (/.f64 -1/2 b_2)) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 c (/.f64 -1/2 b_2)) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 c (/.f64 -1/2 b_2)) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 c (/.f64 -1/2 b_2)) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 c (/.f64 -1/2 b_2)) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(*.f64 -1/2 (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) -1/2) |
(*.f64 c (/.f64 -1/2 b_2)) |
(/.f64 -1/2 (/.f64 b_2 c)) |
Compiled 17084 to 7364 computations (56.9% saved)
48 alts after pruning (40 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 813 | 23 | 836 |
| Fresh | 13 | 17 | 30 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 8 | 9 |
| Total | 828 | 48 | 876 |
| Status | Error | Program |
|---|---|---|
| 47.8b | (*.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) | |
| 46.5b | (/.f64 (+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) a) | |
| 63.0b | (pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 b_2 a) 2))) | |
| 45.8b | (/.f64 (*.f64 b_2 -2) a) | |
| ✓ | 35.5b | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))) a) |
| 45.2b | (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))) | |
| 45.9b | (/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a) | |
| 46.1b | (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3) | |
| 56.2b | (*.f64 -1/2 (*.f64 (/.f64 1 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 a c) b_2))))) a)) | |
| 46.5b | (*.f64 -1/2 (*.f64 (/.f64 1 (/.f64 (*.f64 a b_2) c)) a)) | |
| 47.6b | (expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2))) | |
| 62.4b | (pow.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)) 3) | |
| 62.4b | (*.f64 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)) (/.f64 2 (cbrt.f64 a))) | |
| 47.9b | (/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (*.f64 -2 (log.f64 (/.f64 -1 b_2))) 1/2))) a) | |
| 48.1b | (pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3) | |
| 52.3b | (/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a))) 1/2))) a) | |
| 57.0b | (exp.f64 (log.f64 (*.f64 b_2 (/.f64 -2 a)))) | |
| 62.5b | (pow.f64 (pow.f64 (*.f64 (/.f64 b_2 a) 2) 3) 1/3) | |
| 52.0b | (pow.f64 (E.f64) (log.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2))) | |
| ✓ | 59.2b | (/.f64 (neg.f64 b_2) a) |
| 58.8b | (sqrt.f64 (*.f64 (*.f64 b_2 (/.f64 b_2 (*.f64 a a))) 4)) | |
| 54.1b | (expm1.f64 (log1p.f64 (*.f64 b_2 (/.f64 -2 a)))) | |
| 45.0b | (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (fma.f64 b_2 2 (/.f64 (*.f64 a (*.f64 1/2 (neg.f64 c))) b_2))) a) | |
| 53.5b | (/.f64 (*.f64 -1/2 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 c (/.f64 a b_2)))) 3))) a) | |
| ✓ | 45.8b | (*.f64 b_2 (/.f64 -2 a)) |
| 40.1b | (/.f64 -1/2 (/.f64 b_2 c)) | |
| 46.1b | (/.f64 (+.f64 (neg.f64 b_2) (-.f64 (*.f64 1/2 (*.f64 (/.f64 c b_2) a)) b_2)) a) | |
| 46.8b | (*.f64 -1/2 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))) 3)) | |
| 47.1b | (-.f64 (+.f64 1 (*.f64 b_2 (/.f64 -2 a))) 1) | |
| 52.3b | (/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))) 1/2))) a) | |
| 40.0b | (/.f64 c (/.f64 b_2 -1/2)) | |
| 50.7b | (*.f64 -1/2 (pow.f64 (pow.f64 (/.f64 b_2 c) 1/3) -3)) | |
| ✓ | 45.4b | (/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a) |
| 62.4b | (*.f64 (/.f64 2 a) b_2) | |
| ✓ | 35.5b | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| 52.6b | (/.f64 (sqrt.f64 (*.f64 1/4 (pow.f64 (*.f64 c (/.f64 a b_2)) 2))) a) | |
| 48.1b | (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (cbrt.f64 a))) | |
| 51.0b | (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))))) | |
| 60.7b | (pow.f64 (pow.f64 (*.f64 b_2 (/.f64 -2 a)) 3) 1/3) | |
| ✓ | 63.0b | (exp.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))) |
| 62.4b | (/.f64 (*.f64 b_2 2) a) | |
| ✓ | 46.5b | (*.f64 -1/2 (*.f64 (/.f64 1 (*.f64 (/.f64 a c) b_2)) a)) |
| ✓ | 37.8b | (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a) |
| 40.4b | (*.f64 -1/2 (pow.f64 (cbrt.f64 (/.f64 b_2 c)) -3)) | |
| 46.0b | (+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2))) | |
| 53.2b | (/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (log.f64 (*.f64 b_2 b_2)) 1/2))) a) | |
| 46.8b | (/.f64 (/.f64 -1/2 (/.f64 a c)) (/.f64 b_2 a)) | |
| 47.0b | (/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (log.f64 (*.f64 c (neg.f64 a))) 1/2))) a) |
Compiled 670 to 486 computations (27.5% saved)
| Inputs |
|---|
(/.f64 (neg.f64 b_2) a) |
(*.f64 (/.f64 2 a) b_2) |
(/.f64 (*.f64 b_2 2) a) |
(*.f64 b_2 (/.f64 -2 a)) |
(/.f64 c (/.f64 b_2 -1/2)) |
(/.f64 (*.f64 2 b_2) a) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(/.f64 c (/.f64 b_2 -1/2)) |
(/.f64 -2 (/.f64 a b_2)) |
(*.f64 -2 (/.f64 b_2 a)) |
(/.f64 (*.f64 b_2 -2) a) |
(*.f64 (/.f64 -1/2 b_2) c) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (+.f64 (neg.f64 b_2) b_2) a) |
(*.f64 (*.f64 b_2 2) (/.f64 1 (neg.f64 a))) |
(-.f64 (+.f64 1 (*.f64 b_2 (/.f64 -2 a))) 1) |
(/.f64 (/.f64 -1/2 (/.f64 a c)) (/.f64 b_2 a)) |
(*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))) |
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1) |
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a) |
(/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a) |
(*.f64 -1/2 (*.f64 (/.f64 1 (/.f64 (*.f64 a b_2) c)) a)) |
(*.f64 -1/2 (*.f64 (/.f64 1 (*.f64 (/.f64 a c) b_2)) a)) |
(*.f64 (/.f64 1 a) (*.f64 (/.f64 c b_2) (*.f64 a -1/2))) |
(/.f64 (/.f64 (/.f64 (*.f64 -1/2 c) b_2) (/.f64 1 a)) a) |
(/.f64 (/.f64 1 (/.f64 (/.f64 b_2 a) (*.f64 -1/2 c))) a) |
(*.f64 -1/2 (/.f64 1 (*.f64 (/.f64 a c) (/.f64 b_2 a)))) |
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2))) |
(/.f64 (+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) a) |
(/.f64 (+.f64 (neg.f64 b_2) (-.f64 (*.f64 1/2 (*.f64 (/.f64 c b_2) a)) b_2)) a) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a) |
(sqrt.f64 (*.f64 (*.f64 b_2 (/.f64 b_2 (*.f64 a a))) 4)) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a) |
(/.f64 (fma.f64 (*.f64 (/.f64 c b_2) a) 1/2 (*.f64 -2 b_2)) a) |
(/.f64 (fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (*.f64 -2 b_2)) a) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
(/.f64 (/.f64 (*.f64 c (neg.f64 a)) (fma.f64 b_2 2 (/.f64 (*.f64 a (*.f64 1/2 (neg.f64 c))) b_2))) a) |
(exp.f64 (log.f64 (*.f64 b_2 (/.f64 -2 a)))) |
(expm1.f64 (log1p.f64 (*.f64 b_2 (/.f64 -2 a)))) |
(exp.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))) |
(exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a)))) |
(expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 b_2 a)))) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)) 3) |
(*.f64 -1/2 (pow.f64 (cbrt.f64 (/.f64 b_2 c)) -3)) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)) 3) |
(sqrt.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)) |
(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 b_2 a) 2) 3) 1/3) |
(*.f64 -1/2 (pow.f64 (pow.f64 (/.f64 b_2 c) 1/3) -3)) |
(pow.f64 (pow.f64 (*.f64 b_2 (/.f64 -2 a)) 3) 1/3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 b_2 a) 2) 3) 1/3) |
(pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2))) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) -1/2))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)))) a) |
(/.f64 (*.f64 -1/2 (exp.f64 (log.f64 (*.f64 c (/.f64 a b_2))))) a) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))))) |
(*.f64 -1/2 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))) 3)) |
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (log.f64 (*.f64 b_2 b_2)) 1/2))) a) |
(*.f64 -1/2 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) -3)) |
(*.f64 -1/2 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))) 3)) |
(/.f64 (sqrt.f64 (*.f64 1/4 (pow.f64 (*.f64 c (/.f64 a b_2)) 2))) a) |
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (log.f64 (*.f64 c (neg.f64 a))) 1/2))) a) |
(/.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)))) 1) a) |
(*.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) |
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (*.f64 -2 (log.f64 (/.f64 -1 b_2))) 1/2))) a) |
(*.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a))) |
(*.f64 -1/2 (*.f64 (/.f64 1 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 a c) b_2))))) a)) |
(/.f64 (/.f64 (*.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a) |
(fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (*.f64 (/.f64 -1/2 b_2) c)) |
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2)) a) |
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2))) a) |
(/.f64 (/.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a) |
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 b_2 a) 2))) |
(*.f64 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)) (/.f64 2 (cbrt.f64 a))) |
(/.f64 (/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a)) |
(pow.f64 (E.f64) (log.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2))) |
(/.f64 (*.f64 -1/2 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 c (/.f64 a b_2)))) 3))) a) |
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a))) 1/2))) a) |
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))) 1/2))) a) |
(*.f64 -1/2 (/.f64 1 (/.f64 (/.f64 (/.f64 a (/.f64 a b_2)) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c)))) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))) a) |
(sqrt.f64 (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (/.f64 b_2 a) 2))) 4)) |
(exp.f64 (log.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a))) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3) 1/3) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (cbrt.f64 a))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))))) |
| Outputs |
|---|
(*.f64 -2 (/.f64 b_2 a)) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
(fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (*.f64 (/.f64 -1/2 b_2) c)) |
4 calls:
| 626.0ms | a |
| 384.0ms | b_2 |
| 292.0ms | c |
| 242.0ms | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| Error | Segments | Branch |
|---|---|---|
| 24.2b | 10 | a |
| 11.2b | 3 | b_2 |
| 28.3b | 3 | c |
| 16.1b | 5 | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
Compiled 986 to 501 computations (49.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 455.0ms | 3.7231641457263425e-33 | 1.7280327057384277e-9 |
| 95.0ms | -2.6138998252258544e+165 | -6.216074164817344e+147 |
Compiled 689 to 470 computations (31.8% saved)
| Inputs |
|---|
(/.f64 (neg.f64 b_2) a) |
(*.f64 (/.f64 2 a) b_2) |
(/.f64 (*.f64 b_2 2) a) |
(*.f64 b_2 (/.f64 -2 a)) |
(/.f64 c (/.f64 b_2 -1/2)) |
(/.f64 (*.f64 2 b_2) a) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(/.f64 c (/.f64 b_2 -1/2)) |
(/.f64 -2 (/.f64 a b_2)) |
(*.f64 -2 (/.f64 b_2 a)) |
(/.f64 (*.f64 b_2 -2) a) |
(*.f64 (/.f64 -1/2 b_2) c) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (+.f64 (neg.f64 b_2) b_2) a) |
(*.f64 (*.f64 b_2 2) (/.f64 1 (neg.f64 a))) |
(-.f64 (+.f64 1 (*.f64 b_2 (/.f64 -2 a))) 1) |
(/.f64 (/.f64 -1/2 (/.f64 a c)) (/.f64 b_2 a)) |
(*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))) |
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1) |
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a) |
(/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a) |
(*.f64 -1/2 (*.f64 (/.f64 1 (/.f64 (*.f64 a b_2) c)) a)) |
(*.f64 -1/2 (*.f64 (/.f64 1 (*.f64 (/.f64 a c) b_2)) a)) |
(*.f64 (/.f64 1 a) (*.f64 (/.f64 c b_2) (*.f64 a -1/2))) |
(/.f64 (/.f64 (/.f64 (*.f64 -1/2 c) b_2) (/.f64 1 a)) a) |
(/.f64 (/.f64 1 (/.f64 (/.f64 b_2 a) (*.f64 -1/2 c))) a) |
(*.f64 -1/2 (/.f64 1 (*.f64 (/.f64 a c) (/.f64 b_2 a)))) |
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2))) |
(/.f64 (+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) a) |
(/.f64 (+.f64 (neg.f64 b_2) (-.f64 (*.f64 1/2 (*.f64 (/.f64 c b_2) a)) b_2)) a) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a) |
(sqrt.f64 (*.f64 (*.f64 b_2 (/.f64 b_2 (*.f64 a a))) 4)) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a) |
(/.f64 (fma.f64 (*.f64 (/.f64 c b_2) a) 1/2 (*.f64 -2 b_2)) a) |
(/.f64 (fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (*.f64 -2 b_2)) a) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
(/.f64 (/.f64 (*.f64 c (neg.f64 a)) (fma.f64 b_2 2 (/.f64 (*.f64 a (*.f64 1/2 (neg.f64 c))) b_2))) a) |
(exp.f64 (log.f64 (*.f64 b_2 (/.f64 -2 a)))) |
(expm1.f64 (log1p.f64 (*.f64 b_2 (/.f64 -2 a)))) |
(exp.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))) |
(exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a)))) |
(expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 b_2 a)))) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)) 3) |
(*.f64 -1/2 (pow.f64 (cbrt.f64 (/.f64 b_2 c)) -3)) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)) 3) |
(sqrt.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)) |
(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 b_2 a) 2) 3) 1/3) |
(*.f64 -1/2 (pow.f64 (pow.f64 (/.f64 b_2 c) 1/3) -3)) |
(pow.f64 (pow.f64 (*.f64 b_2 (/.f64 -2 a)) 3) 1/3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 b_2 a) 2) 3) 1/3) |
(pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2))) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) -1/2))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)))) a) |
(/.f64 (*.f64 -1/2 (exp.f64 (log.f64 (*.f64 c (/.f64 a b_2))))) a) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))))) |
(*.f64 -1/2 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))) 3)) |
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (log.f64 (*.f64 b_2 b_2)) 1/2))) a) |
(*.f64 -1/2 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) -3)) |
(*.f64 -1/2 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))) 3)) |
(/.f64 (sqrt.f64 (*.f64 1/4 (pow.f64 (*.f64 c (/.f64 a b_2)) 2))) a) |
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (log.f64 (*.f64 c (neg.f64 a))) 1/2))) a) |
(/.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)))) 1) a) |
(*.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) |
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (*.f64 -2 (log.f64 (/.f64 -1 b_2))) 1/2))) a) |
(*.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a))) |
(*.f64 -1/2 (*.f64 (/.f64 1 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 a c) b_2))))) a)) |
(/.f64 (/.f64 (*.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a) |
| Outputs |
|---|
(*.f64 -2 (/.f64 b_2 a)) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
(/.f64 c (/.f64 b_2 -1/2)) |
4 calls:
| 1.3s | a |
| 463.0ms | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| 325.0ms | b_2 |
| 262.0ms | c |
| Error | Segments | Branch |
|---|---|---|
| 23.5b | 11 | a |
| 11.2b | 3 | b_2 |
| 30.8b | 3 | c |
| 16.1b | 5 | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
Compiled 693 to 371 computations (46.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 398.0ms | 3.7231641457263425e-33 | 1.7280327057384277e-9 |
| 124.0ms | -2.6138998252258544e+165 | -6.216074164817344e+147 |
Compiled 568 to 393 computations (30.8% saved)
| Inputs |
|---|
(/.f64 (neg.f64 b_2) a) |
(*.f64 (/.f64 2 a) b_2) |
(/.f64 (*.f64 b_2 2) a) |
(*.f64 b_2 (/.f64 -2 a)) |
(/.f64 c (/.f64 b_2 -1/2)) |
(/.f64 (*.f64 2 b_2) a) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(/.f64 c (/.f64 b_2 -1/2)) |
(/.f64 -2 (/.f64 a b_2)) |
(*.f64 -2 (/.f64 b_2 a)) |
(/.f64 (*.f64 b_2 -2) a) |
(*.f64 (/.f64 -1/2 b_2) c) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (+.f64 (neg.f64 b_2) b_2) a) |
(*.f64 (*.f64 b_2 2) (/.f64 1 (neg.f64 a))) |
(-.f64 (+.f64 1 (*.f64 b_2 (/.f64 -2 a))) 1) |
(/.f64 (/.f64 -1/2 (/.f64 a c)) (/.f64 b_2 a)) |
(*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))) |
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1) |
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a) |
(/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a) |
(*.f64 -1/2 (*.f64 (/.f64 1 (/.f64 (*.f64 a b_2) c)) a)) |
(*.f64 -1/2 (*.f64 (/.f64 1 (*.f64 (/.f64 a c) b_2)) a)) |
(*.f64 (/.f64 1 a) (*.f64 (/.f64 c b_2) (*.f64 a -1/2))) |
(/.f64 (/.f64 (/.f64 (*.f64 -1/2 c) b_2) (/.f64 1 a)) a) |
(/.f64 (/.f64 1 (/.f64 (/.f64 b_2 a) (*.f64 -1/2 c))) a) |
(*.f64 -1/2 (/.f64 1 (*.f64 (/.f64 a c) (/.f64 b_2 a)))) |
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2))) |
(/.f64 (+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) a) |
(/.f64 (+.f64 (neg.f64 b_2) (-.f64 (*.f64 1/2 (*.f64 (/.f64 c b_2) a)) b_2)) a) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a) |
(sqrt.f64 (*.f64 (*.f64 b_2 (/.f64 b_2 (*.f64 a a))) 4)) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a) |
(/.f64 (fma.f64 (*.f64 (/.f64 c b_2) a) 1/2 (*.f64 -2 b_2)) a) |
(/.f64 (fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (*.f64 -2 b_2)) a) |
| Outputs |
|---|
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2))) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a) |
(/.f64 c (/.f64 b_2 -1/2)) |
3 calls:
| 570.0ms | a |
| 445.0ms | b_2 |
| 351.0ms | c |
| Error | Segments | Branch |
|---|---|---|
| 31.9b | 8 | a |
| 14.1b | 3 | b_2 |
| 36.3b | 4 | c |
Compiled 313 to 172 computations (45% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 117.0ms | 3.7231641457263425e-33 | 1.7280327057384277e-9 |
| 98.0ms | -4.744442579089322e-51 | -5.495679035074051e-61 |
Compiled 544 to 391 computations (28.1% saved)
| Inputs |
|---|
(/.f64 (neg.f64 b_2) a) |
(*.f64 (/.f64 2 a) b_2) |
(/.f64 (*.f64 b_2 2) a) |
(*.f64 b_2 (/.f64 -2 a)) |
(/.f64 c (/.f64 b_2 -1/2)) |
(/.f64 (*.f64 2 b_2) a) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(/.f64 c (/.f64 b_2 -1/2)) |
(/.f64 -2 (/.f64 a b_2)) |
(*.f64 -2 (/.f64 b_2 a)) |
(/.f64 (*.f64 b_2 -2) a) |
(*.f64 (/.f64 -1/2 b_2) c) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (+.f64 (neg.f64 b_2) b_2) a) |
(*.f64 (*.f64 b_2 2) (/.f64 1 (neg.f64 a))) |
(-.f64 (+.f64 1 (*.f64 b_2 (/.f64 -2 a))) 1) |
(/.f64 (/.f64 -1/2 (/.f64 a c)) (/.f64 b_2 a)) |
(*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))) |
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1) |
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a) |
(/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a) |
(*.f64 -1/2 (*.f64 (/.f64 1 (/.f64 (*.f64 a b_2) c)) a)) |
(*.f64 -1/2 (*.f64 (/.f64 1 (*.f64 (/.f64 a c) b_2)) a)) |
(*.f64 (/.f64 1 a) (*.f64 (/.f64 c b_2) (*.f64 a -1/2))) |
(/.f64 (/.f64 (/.f64 (*.f64 -1/2 c) b_2) (/.f64 1 a)) a) |
(/.f64 (/.f64 1 (/.f64 (/.f64 b_2 a) (*.f64 -1/2 c))) a) |
(*.f64 -1/2 (/.f64 1 (*.f64 (/.f64 a c) (/.f64 b_2 a)))) |
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2))) |
(/.f64 (+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) a) |
(/.f64 (+.f64 (neg.f64 b_2) (-.f64 (*.f64 1/2 (*.f64 (/.f64 c b_2) a)) b_2)) a) |
| Outputs |
|---|
(*.f64 -2 (/.f64 b_2 a)) |
(/.f64 c (/.f64 b_2 -1/2)) |
3 calls:
| 111.0ms | a |
| 46.0ms | c |
| 35.0ms | b_2 |
| Error | Segments | Branch |
|---|---|---|
| 33.8b | 7 | a |
| 23.3b | 2 | b_2 |
| 38.8b | 3 | c |
Compiled 251 to 142 computations (43.4% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 45.0ms | 1.642458054212428e-258 | 2.15159149377492e-247 |
Compiled 202 to 155 computations (23.3% saved)
| Inputs |
|---|
(/.f64 (neg.f64 b_2) a) |
(*.f64 (/.f64 2 a) b_2) |
(/.f64 (*.f64 b_2 2) a) |
(*.f64 b_2 (/.f64 -2 a)) |
(/.f64 c (/.f64 b_2 -1/2)) |
(/.f64 (*.f64 2 b_2) a) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(/.f64 c (/.f64 b_2 -1/2)) |
(/.f64 -2 (/.f64 a b_2)) |
| Outputs |
|---|
(/.f64 -2 (/.f64 a b_2)) |
(/.f64 c (/.f64 b_2 -1/2)) |
3 calls:
| 142.0ms | a |
| 63.0ms | c |
| 27.0ms | b_2 |
| Error | Segments | Branch |
|---|---|---|
| 33.9b | 7 | a |
| 23.3b | 2 | b_2 |
| 38.8b | 3 | c |
Compiled 59 to 38 computations (35.6% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 111.0ms | 1.642458054212428e-258 | 2.15159149377492e-247 |
Compiled 202 to 155 computations (23.3% saved)
| Inputs |
|---|
(/.f64 (neg.f64 b_2) a) |
(*.f64 (/.f64 2 a) b_2) |
(/.f64 (*.f64 b_2 2) a) |
(*.f64 b_2 (/.f64 -2 a)) |
(/.f64 c (/.f64 b_2 -1/2)) |
(/.f64 (*.f64 2 b_2) a) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(/.f64 c (/.f64 b_2 -1/2)) |
| Outputs |
|---|
(*.f64 b_2 (/.f64 -2 a)) |
(/.f64 c (/.f64 b_2 -1/2)) |
3 calls:
| 74.0ms | a |
| 24.0ms | c |
| 11.0ms | b_2 |
| Error | Segments | Branch |
|---|---|---|
| 34.9b | 5 | a |
| 23.3b | 2 | b_2 |
| 38.8b | 3 | c |
Compiled 54 to 35 computations (35.2% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 44.0ms | 1.642458054212428e-258 | 2.15159149377492e-247 |
Compiled 202 to 155 computations (23.3% saved)
| Inputs |
|---|
(/.f64 (neg.f64 b_2) a) |
(*.f64 (/.f64 2 a) b_2) |
(/.f64 (*.f64 b_2 2) a) |
(*.f64 b_2 (/.f64 -2 a)) |
| Outputs |
|---|
(*.f64 b_2 (/.f64 -2 a)) |
3 calls:
| 9.0ms | c |
| 4.0ms | a |
| 4.0ms | b_2 |
| Error | Segments | Branch |
|---|---|---|
| 45.8b | 1 | a |
| 45.8b | 1 | b_2 |
| 45.8b | 1 | c |
Compiled 34 to 23 computations (32.4% saved)
Total -3.7b remaining (-6.2%)
Threshold costs -3.7b (-6.2%)
| Inputs |
|---|
(/.f64 (neg.f64 b_2) a) |
(*.f64 (/.f64 2 a) b_2) |
(/.f64 (*.f64 b_2 2) a) |
| Outputs |
|---|
(/.f64 (neg.f64 b_2) a) |
3 calls:
| 5.0ms | a |
| 4.0ms | b_2 |
| 4.0ms | c |
| Error | Segments | Branch |
|---|---|---|
| 59.2b | 1 | a |
| 59.2b | 1 | b_2 |
| 59.2b | 1 | c |
Compiled 29 to 20 computations (31% saved)
| 1× | egg-herbie |
| 12× | *-commutative_binary64 |
| 9× | +-commutative_binary64 |
| 7× | sub-neg_binary64 |
| 5× | neg-sub0_binary64 |
| 5× | neg-mul-1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 230 |
| 1 | 81 | 226 |
| 2 | 95 | 226 |
| 3 | 103 | 226 |
| 4 | 106 | 226 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 b_2 -6399999999999999575255470718237583495105260436342155685051264249319671913609178896595104797012803490113137732795544498627705964315353581643374788608) (*.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 5553706221857431/1461501637330902918203684832716283019655932542976) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (*.f64 (/.f64 -1/2 b_2) c)))) |
(if (<=.f64 b_2 -6399999999999999575255470718237583495105260436342155685051264249319671913609178896595104797012803490113137732795544498627705964315353581643374788608) (*.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 5553706221857431/1461501637330902918203684832716283019655932542976) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (/.f64 c (/.f64 b_2 -1/2)))) |
(if (<=.f64 b_2 -497544133441593/904625697166532776746648320380374280103671755200316906558262375061821325312) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 5553706221857431/1461501637330902918203684832716283019655932542976) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a) (/.f64 c (/.f64 b_2 -1/2)))) |
(if (<=.f64 b_2 6770093691001417/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) (*.f64 -2 (/.f64 b_2 a)) (/.f64 c (/.f64 b_2 -1/2))) |
(if (<=.f64 b_2 6770093691001417/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) (/.f64 -2 (/.f64 a b_2)) (/.f64 c (/.f64 b_2 -1/2))) |
(if (<=.f64 b_2 6770093691001417/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) (*.f64 b_2 (/.f64 -2 a)) (/.f64 c (/.f64 b_2 -1/2))) |
(*.f64 b_2 (/.f64 -2 a)) |
(/.f64 (neg.f64 b_2) a) |
| Outputs |
|---|
(if (<=.f64 b_2 -6399999999999999575255470718237583495105260436342155685051264249319671913609178896595104797012803490113137732795544498627705964315353581643374788608) (*.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 5553706221857431/1461501637330902918203684832716283019655932542976) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (*.f64 (/.f64 -1/2 b_2) c)))) |
(if (<=.f64 b_2 -6399999999999999575255470718237583495105260436342155685051264249319671913609178896595104797012803490113137732795544498627705964315353581643374788608) (*.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 5553706221857431/1461501637330902918203684832716283019655932542976) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (fma.f64 -1/8 (*.f64 c (/.f64 c (/.f64 (pow.f64 b_2 3) a))) (*.f64 c (/.f64 -1/2 b_2))))) |
(if (<=.f64 b_2 -6399999999999999575255470718237583495105260436342155685051264249319671913609178896595104797012803490113137732795544498627705964315353581643374788608) (*.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 5553706221857431/1461501637330902918203684832716283019655932542976) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (fma.f64 -1/8 (*.f64 c (/.f64 c (/.f64 (pow.f64 b_2 3) a))) (*.f64 c (/.f64 -1/2 b_2))))) |
(if (<=.f64 b_2 -6399999999999999575255470718237583495105260436342155685051264249319671913609178896595104797012803490113137732795544498627705964315353581643374788608) (*.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 5553706221857431/1461501637330902918203684832716283019655932542976) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (/.f64 c (/.f64 b_2 -1/2)))) |
(if (<=.f64 b_2 -6399999999999999575255470718237583495105260436342155685051264249319671913609178896595104797012803490113137732795544498627705964315353581643374788608) (*.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 5553706221857431/1461501637330902918203684832716283019655932542976) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (/.f64 c (/.f64 b_2 -1/2)))) |
(if (<=.f64 b_2 -497544133441593/904625697166532776746648320380374280103671755200316906558262375061821325312) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 5553706221857431/1461501637330902918203684832716283019655932542976) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a) (/.f64 c (/.f64 b_2 -1/2)))) |
(if (<=.f64 b_2 6770093691001417/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) (*.f64 -2 (/.f64 b_2 a)) (/.f64 c (/.f64 b_2 -1/2))) |
(if (<=.f64 b_2 6770093691001417/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) (/.f64 -2 (/.f64 a b_2)) (/.f64 c (/.f64 b_2 -1/2))) |
(if (<=.f64 b_2 6770093691001417/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) (*.f64 b_2 (/.f64 -2 a)) (/.f64 c (/.f64 b_2 -1/2))) |
(*.f64 b_2 (/.f64 -2 a)) |
(/.f64 (neg.f64 b_2) a) |
Compiled 179 to 120 computations (33% saved)
| 1× | egg-herbie |
| 985× | times-frac_binary64 |
| 814× | fma-def_binary64 |
| 759× | associate-*l*_binary64 |
| 658× | associate-/l*_binary64 |
| 567× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 178 | 2424 |
| 1 | 561 | 2350 |
| 2 | 1936 | 2254 |
| 1× | node limit |
Compiled 172 to 124 computations (27.9% saved)
Compiled 158 to 90 computations (43% saved)
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