Time bar (total: 15.2s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 0% | 93.6% | 6.4% | 7 |
| 6.2% | 87.4% | 6.4% | 8 |
| 10.1% | 81.1% | 8.7% | 9 |
| 15.6% | 71% | 13.4% | 10 |
| 22% | 63% | 15% | 11 |
| 29.1% | 52.9% | 18.1% | 12 |
Compiled 21 to 15 computations (28.6% saved)
| 853.0ms | 5518× | body | 256 | valid |
| 551.0ms | 1192× | body | 2048 | valid |
| 333.0ms | 734× | body | 1024 | valid |
| 317.0ms | 423× | body | 4096 | valid |
| 225.0ms | 1650× | body | 256 | invalid |
| 94.0ms | 389× | body | 512 | valid |
| 2× | egg-herbie |
| 801× | fma-def_binary64 |
| 685× | div-sub_binary64 |
| 476× | associate-/r*_binary64 |
| 428× | distribute-frac-neg_binary64 |
| 366× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 104 |
| 1 | 99 | 88 |
| 2 | 220 | 88 |
| 3 | 445 | 88 |
| 4 | 763 | 88 |
| 5 | 1256 | 88 |
| 6 | 2230 | 88 |
| 7 | 4450 | 88 |
| 8 | 7142 | 88 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 4 b) c)))) (*.f64 2 b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 c) a)))) (*.f64 2 c)) |
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 (*.f64 4 a) b)))) (*.f64 2 a)) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 a 2)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (*.f64 a 2)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (*.f64 a 2)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) b) (*.f64 a 2)) |
(*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) b)) |
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 4 b) c)))) (*.f64 2 b)) |
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 4 (*.f64 b c))))) (*.f64 b 2)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (*.f64 c (*.f64 b -4)))) a) (*.f64 b 2)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (*.f64 b (*.f64 c -4)))) a) (*.f64 b 2)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (*.f64 c -4) (*.f64 a a))) a) (*.f64 b 2)) |
(*.f64 (-.f64 a (sqrt.f64 (fma.f64 b (*.f64 c -4) (*.f64 a a)))) (/.f64 -1/2 b)) |
(*.f64 (-.f64 a (sqrt.f64 (fma.f64 a a (*.f64 (*.f64 b c) -4)))) (/.f64 -1/2 b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 c) a)))) (*.f64 2 c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 4 c))))) (*.f64 c 2)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (*.f64 c 2)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (*.f64 c 2)) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (/.f64 -1/2 c)) |
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 (*.f64 4 a) b)))) (*.f64 2 a)) |
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 b (*.f64 4 a))))) (*.f64 a 2)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (*.f64 b (*.f64 a -4)))) c) (*.f64 a 2)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c))) c) (*.f64 a 2)) |
(*.f64 (-.f64 c (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c)))) (/.f64 -1/2 a)) |
(*.f64 (-.f64 c (sqrt.f64 (fma.f64 (*.f64 b a) -4 (*.f64 c c)))) (/.f64 -1/2 a)) |
Compiled 23 to 17 computations (26.1% saved)
| 1× | egg-herbie |
| 981× | fma-def_binary64 |
| 771× | fma-neg_binary64 |
| 680× | div-sub_binary64 |
| 619× | times-frac_binary64 |
| 482× | distribute-rgt-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 26 |
| 1 | 33 | 22 |
| 2 | 72 | 22 |
| 3 | 163 | 22 |
| 4 | 267 | 22 |
| 5 | 436 | 22 |
| 6 | 747 | 22 |
| 7 | 1335 | 22 |
| 8 | 2689 | 22 |
| 9 | 4086 | 22 |
| 10 | 5645 | 22 |
| 11 | 6350 | 22 |
| 12 | 7004 | 22 |
| 13 | 7092 | 22 |
| 14 | 7654 | 22 |
| 15 | 7796 | 22 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 a 2)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 -4 (*.f64 a c)))) b) (*.f64 a 2)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) b) (*.f64 a 2)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (*.f64 a 2)) |
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) a) -1/2) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) (/.f64 -1/2 a)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a)) |
Compiled 35 to 23 computations (34.3% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 32.3b | (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a)) |
| ▶ | 32.2b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
Compiled 38 to 26 computations (31.6% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.2b | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) | |
| 0.2b | (*.f64 (*.f64 4 a) c) | |
| 0.2b | (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) | |
| 0.1b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) | |
| ✓ | 0.2b | (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) |
| ✓ | 0.2b | (*.f64 (*.f64 4 a) c) |
| ✓ | 1.2b | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) |
| ✓ | 21.5b | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) |
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | a | @ | 0 | (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) |
| 2.0ms | b | @ | inf | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) |
| 2.0ms | b | @ | 0 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) |
| 1.0ms | c | @ | inf | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) |
| 1.0ms | a | @ | inf | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) |
| 1× | batch-egg-rewrite |
| 704× | fma-def_binary64 |
| 631× | log-prod_binary64 |
| 357× | fma-neg_binary64 |
| 327× | pow2_binary64 |
| 223× | expm1-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 55 |
| 1 | 276 | 47 |
| 2 | 3922 | 45 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) |
(*.f64 (*.f64 4 a) c) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 1/4) (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 4) (pow.f64 (*.f64 (*.f64 4 a) c) 2))) (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 4 a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 6) (pow.f64 (*.f64 (*.f64 4 a) c) 3))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 4 a) c) (fma.f64 (*.f64 4 a) c (*.f64 b b)) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (sqrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 (*.f64 4 a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 (*.f64 4 a) c))) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b b) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 0) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 2) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 3/2)) (/.f64 1 (fma.f64 b b (fma.f64 b b (fma.f64 c (*.f64 a -4) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 b b (*.f64 b b)) (*.f64 (*.f64 4 a) c)) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b b (fma.f64 b b (fma.f64 c 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b (cbrt.f64 (*.f64 b b))) (cbrt.f64 b) (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 (*.f64 4 a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (cbrt.f64 (*.f64 b b))) (cbrt.f64 b) (neg.f64 (-.f64 (*.f64 (*.f64 4 a) c) (fma.f64 c (*.f64 a -4) (*.f64 (*.f64 4 a) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a -4) 1) c (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a -4) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a -4) (sqrt.f64 c)) (sqrt.f64 c) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (fma.f64 c (*.f64 a -4) (*.f64 (*.f64 4 a) c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (fma.f64 (neg.f64 (*.f64 a c)) 4 (*.f64 (*.f64 4 a) c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (fma.f64 (*.f64 c (*.f64 a -4)) 1 (*.f64 (*.f64 4 a) c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 4 a) c))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 4 a) c) 2)) (*.f64 (*.f64 4 a) c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 (fma.f64 c (*.f64 a -4) (*.f64 (*.f64 4 a) c)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (+.f64 (fma.f64 c (*.f64 a -4) (*.f64 (*.f64 4 a) c)) (fma.f64 c (*.f64 a -4) (*.f64 (*.f64 4 a) c)))))))) |
| 1× | egg-herbie |
| 712× | times-frac_binary64 |
| 673× | associate-*r*_binary64 |
| 634× | associate-*l*_binary64 |
| 621× | fma-def_binary64 |
| 437× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 1929 |
| 1 | 397 | 1849 |
| 2 | 1371 | 1750 |
| 3 | 7802 | 1750 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -1 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -2 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))) |
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
(fma.f64 -2 (*.f64 (/.f64 a b) c) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(+.f64 b (fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))))) |
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 -4 (pow.f64 a 3))))) |
(*.f64 -1 b) |
(neg.f64 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b)) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (neg.f64 b)) |
(-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b) |
(-.f64 (*.f64 (/.f64 (*.f64 c 2) b) a) b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b))) |
(-.f64 (*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)))) b) |
(-.f64 (*.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c))) b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b)))) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (-.f64 (fma.f64 2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (*.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)))) b)) |
(fma.f64 4 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (-.f64 (*.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c))) b)) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
(fma.f64 -2 (*.f64 (/.f64 a b) c) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(+.f64 b (fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))))) |
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 -4 (pow.f64 a 3))))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
(fma.f64 -2 (*.f64 (/.f64 a b) c) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(+.f64 b (fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))))) |
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 -4 (pow.f64 a 3))))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b)))) b)) |
(-.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b)))) b))) |
(-.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(*.f64 -2 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 (*.f64 c a) b))) |
(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)))) |
(*.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a))))) |
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 -4 (pow.f64 a 3)))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (*.f64 c c) (*.f64 a a))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -1/2 (/.f64 (fma.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 4 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))))) |
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 -4 (pow.f64 a 3))))) |
(*.f64 -2 b) |
(*.f64 b -2) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (*.f64 b -2)) |
(fma.f64 b -2 (/.f64 2 (/.f64 b (*.f64 c a)))) |
(fma.f64 b -2 (*.f64 (/.f64 (*.f64 c 2) b) a)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 -2 b (*.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a)))))) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 b -2 (*.f64 2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a))))) |
(fma.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) (*.f64 b -2)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 -2 b (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))))))) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 b -2 (fma.f64 2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (*.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4)) (fma.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) (*.f64 b -2))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(*.f64 -2 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 (*.f64 c a) b))) |
(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)))) |
(*.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a))))) |
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 -4 (pow.f64 a 3)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 (pow.f64 a 4) (/.f64 b (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (*.f64 -2 (/.f64 (*.f64 c c) (pow.f64 b 3))) 2)))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 a 4) b) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6))))) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))))) |
(fma.f64 -1/2 (*.f64 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 20) (/.f64 (pow.f64 a 4) b)) (fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 -4 (pow.f64 a 3))))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(*.f64 -2 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 (*.f64 c a) b))) |
(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)))) |
(*.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a))))) |
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 -4 (pow.f64 a 3)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 (pow.f64 a 4) (/.f64 b (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (*.f64 -2 (/.f64 (*.f64 c c) (pow.f64 b 3))) 2)))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 a 4) b) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6))))) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))))) |
(fma.f64 -1/2 (*.f64 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 20) (/.f64 (pow.f64 a 4) b)) (fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 -4 (pow.f64 a 3))))) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 21.5b | (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) | |
| 1.2b | (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) | |
| 0.2b | (fma.f64 b b (*.f64 a (*.f64 c -4))) | |
| 0.2b | (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a)) | |
| ✓ | 0.2b | (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a)) |
| ✓ | 0.2b | (fma.f64 b b (*.f64 a (*.f64 c -4))) |
| ✓ | 1.2b | (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) |
| ✓ | 21.5b | (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | a | @ | -inf | (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) |
| 1.0ms | a | @ | inf | (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a)) |
| 1.0ms | b | @ | 0 | (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a)) |
| 1.0ms | c | @ | inf | (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a)) |
| 1.0ms | a | @ | -inf | (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a)) |
| 1× | batch-egg-rewrite |
| 737× | prod-diff_binary64 |
| 675× | log-prod_binary64 |
| 315× | fma-def_binary64 |
| 249× | expm1-udef_binary64 |
| 249× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 62 |
| 1 | 281 | 59 |
| 2 | 3634 | 59 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) |
(fma.f64 b b (*.f64 a (*.f64 c -4))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a)) |
| Outputs |
|---|
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(hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (fma.f64 a (*.f64 c -4) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (-.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (*.f64 b b))) (*.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (-.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (*.f64 b b))) (*.f64 (neg.f64 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) 1/2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) 1/2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) 1/2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 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(*.f64 b b))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) 3) (pow.f64 (/.f64 1/2 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 a) 3) (pow.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 1/2 a) (*.f64 (neg.f64 b) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 a) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (*.f64 (/.f64 1/2 a) (neg.f64 b))))))) |
| 1× | egg-herbie |
| 978× | times-frac_binary64 |
| 978× | fma-def_binary64 |
| 644× | associate-/l*_binary64 |
| 581× | associate-/r*_binary64 |
| 421× | associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 184 | 2477 |
| 1 | 582 | 2367 |
| 2 | 2113 | 2202 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -1 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -2 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))))))) |
(*.f64 -1 (/.f64 c b)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
(*.f64 -1 (/.f64 c b)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(*.f64 -1 (/.f64 c b)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (*.f64 a b))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))) |
(fma.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))) |
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
(fma.f64 -2 (*.f64 (/.f64 a b) c) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))) |
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 a b) c)) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))) |
(+.f64 b (fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (/.f64 -2 (/.f64 b (*.f64 c a)))))) |
(+.f64 (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) b) (*.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 a b) c)))) |
(*.f64 -1 b) |
(neg.f64 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b)) |
(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b)) |
(-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b) |
(-.f64 (/.f64 c (/.f64 (/.f64 b a) 2)) b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))) |
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b))) |
(-.f64 (*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)))) b) |
(-.f64 (*.f64 2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 a b) c))) b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))) |
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b)))) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (-.f64 (fma.f64 2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (*.f64 4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))))) b)) |
(fma.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (-.f64 (*.f64 2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 a b) c))) b)) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
(fma.f64 -2 (*.f64 (/.f64 a b) c) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))) |
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 a b) c)) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))) |
(+.f64 b (fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (/.f64 -2 (/.f64 b (*.f64 c a)))))) |
(+.f64 (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) b) (*.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 a b) c)))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
(fma.f64 -2 (*.f64 (/.f64 a b) c) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))) |
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 a b) c)) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))) |
(+.f64 b (fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (/.f64 -2 (/.f64 b (*.f64 c a)))))) |
(+.f64 (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) b) (*.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 a b) c)))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b)))) b)) |
(-.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b)))) b))) |
(-.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 c a) (/.f64 b -2)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(*.f64 -2 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 c (/.f64 b a)))) |
(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)))) |
(*.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 a b) c))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))) |
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (/.f64 -2 (/.f64 b (*.f64 c a))))) |
(fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (*.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 a b) c)))) |
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(fma.f64 -1/2 (/.f64 (fma.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 4 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (/.f64 -2 (/.f64 b (*.f64 c a)))))) |
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(*.f64 -2 b) |
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(fma.f64 2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 a b) c)) (*.f64 b -2)) |
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(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 b -2 (fma.f64 2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (*.f64 4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))))))) |
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(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 a 4) b) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6))))) (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (/.f64 -2 (/.f64 b (*.f64 c a)))))) |
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(*.f64 -2 (/.f64 (*.f64 c a) b)) |
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(/.f64 (*.f64 c a) (/.f64 b -2)) |
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(*.f64 -2 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 c (/.f64 b a)))) |
(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)))) |
(*.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 a b) c))) |
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(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (/.f64 -2 (/.f64 b (*.f64 c a))))) |
(fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (*.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 a b) c)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (*.f64 -2 (/.f64 (*.f64 c c) (pow.f64 b 3))) 2))) b) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))) |
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 a 4) b) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6))))) (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (/.f64 -2 (/.f64 b (*.f64 c a)))))) |
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 c 4) b) (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (*.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 a b) c))))) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
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(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
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(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
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(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
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(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(*.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)) |
(*.f64 (sqrt.f64 -4) (*.f64 1/2 (sqrt.f64 (/.f64 c a)))) |
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(fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 (sqrt.f64 -4) (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))) |
(fma.f64 1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 b a)))) |
(fma.f64 1/4 (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 b a)))) |
(fma.f64 (sqrt.f64 -4) (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (*.f64 b 1/4) (/.f64 (sqrt.f64 -4) b))))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))))))) |
(fma.f64 1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (fma.f64 -1/2 (/.f64 b a) (*.f64 -1/16 (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5))))))))) |
(fma.f64 1/4 (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (*.f64 (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4))) -1/16))))) |
(fma.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (*.f64 1/4 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (fma.f64 (sqrt.f64 -4) (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (fma.f64 -1/2 (/.f64 b a) (*.f64 (/.f64 (pow.f64 b 4) (/.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))))) 1/64)))) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(*.f64 -1 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (/.f64 c b))) |
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))) |
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))) |
(-.f64 (fma.f64 -2 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (/.f64 (neg.f64 c) b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))) |
(-.f64 (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (*.f64 c c) (*.f64 a a))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7))) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))) |
(-.f64 (fma.f64 -1/4 (/.f64 (fma.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 4 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7))) (fma.f64 -2 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (/.f64 (neg.f64 c) b))) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))) |
(fma.f64 -1/4 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (*.f64 a (pow.f64 b 7))) (-.f64 (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))) |
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))) |
(+.f64 (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))) (-.f64 (/.f64 c b) (/.f64 b a))) |
(-.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)) (/.f64 b a)) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 b) a)))) |
(+.f64 (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (neg.f64 (/.f64 b a))))) |
(-.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 c b))) (/.f64 b a)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(*.f64 -1 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (/.f64 c b))) |
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))) |
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))) |
(-.f64 (fma.f64 -2 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (/.f64 (neg.f64 c) b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))) |
(-.f64 (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (fma.f64 -1/4 (/.f64 (*.f64 (pow.f64 a 3) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (*.f64 -2 (/.f64 (*.f64 c c) (pow.f64 b 3))) 2))) b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))) |
(-.f64 (-.f64 (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 a 3) b) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6))))) (*.f64 -2 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3))))) (/.f64 c b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))) |
(-.f64 (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 a 3) b) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 20)) (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3))))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(*.f64 -1 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (/.f64 c b))) |
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))) |
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))) |
(-.f64 (fma.f64 -2 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (/.f64 (neg.f64 c) b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))) |
(-.f64 (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (*.f64 a b))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (*.f64 -2 (/.f64 (*.f64 a a) (pow.f64 b 3))) 2)) b)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))) |
(-.f64 (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 c 4) (*.f64 a b)) (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 a 4) (pow.f64 b 6))))) (fma.f64 -2 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (/.f64 (neg.f64 c) b))) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))) |
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 c 4) (*.f64 a b)) (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20)) (-.f64 (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))) |
Compiled 17773 to 11043 computations (37.9% saved)
25 alts after pruning (25 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 626 | 25 | 651 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 628 | 25 | 653 |
| Status | Error | Program |
|---|---|---|
| ▶ | 44.4b | (/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a)) |
| 44.3b | (*.f64 (/.f64 (*.f64 c a) (/.f64 b -2)) (/.f64 1/2 a)) | |
| 33.6b | (*.f64 (sqrt.f64 (pow.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) 2)) (/.f64 1/2 a)) | |
| 47.3b | (/.f64 (/.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) 1/2) (sqrt.f64 a)) (sqrt.f64 a)) | |
| 33.2b | (/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 1/4) 2)) (*.f64 2 a)) | |
| 32.1b | (*.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b))) (/.f64 1/2 a)) | |
| 45.9b | (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) | |
| 55.0b | (*.f64 (-.f64 b b) (/.f64 1/2 a)) | |
| ▶ | 30.0b | (/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) 1/2))) |
| 39.6b | (*.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2)) b) (/.f64 1/2 a)) | |
| 45.8b | (*.f64 (*.f64 b -2) (/.f64 1/2 a)) | |
| 45.3b | (/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (*.f64 2 a)) | |
| 31.5b | (+.f64 (*.f64 (/.f64 1/2 a) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (*.f64 (/.f64 1/2 a) (neg.f64 b))) | |
| 44.2b | (/.f64 (pow.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 2) (*.f64 2 a)) | |
| ▶ | 44.0b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1) (*.f64 2 a)) |
| 33.2b | (*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) 2) b) (/.f64 1/2 a)) | |
| 42.4b | (*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (/.f64 1/2 a)) | |
| 32.3b | (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b))) b) (/.f64 1/2 a)) | |
| 39.8b | (/.f64 (neg.f64 c) b) | |
| ▶ | 42.5b | (/.f64 (*.f64 (-.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (*.f64 b b)) (/.f64 1/2 a)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) |
| 55.0b | (*.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 a b) c) b) b) (/.f64 1/2 a)) | |
| 45.8b | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| ▶ | 45.7b | (neg.f64 (/.f64 b a)) |
| 42.3b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) | |
| 45.1b | (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
Compiled 858 to 610 computations (28.9% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 11.2b | (sqrt.f64 (*.f64 a (*.f64 c -4))) | |
| 0.9b | (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) | |
| 0.1b | (/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) 1/2))) | |
| 0.1b | (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) 1/2)) | |
| ✓ | 0.1b | (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) 1/2)) |
| ✓ | 0.1b | (/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) 1/2))) |
| ✓ | 0.9b | (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) |
| ✓ | 11.2b | (sqrt.f64 (*.f64 a (*.f64 c -4))) |
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 49.0ms | a | @ | inf | (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) |
| 12.0ms | c | @ | -inf | (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) 1/2)) |
| 6.0ms | a | @ | inf | (/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) 1/2))) |
| 6.0ms | c | @ | inf | (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) 1/2)) |
| 5.0ms | c | @ | 0 | (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) 1/2)) |
| 1× | batch-egg-rewrite |
| 805× | log-prod_binary64 |
| 593× | prod-diff_binary64 |
| 276× | expm1-udef_binary64 |
| 276× | log1p-udef_binary64 |
| 246× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 69 |
| 1 | 323 | 66 |
| 2 | 4218 | 66 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 a (*.f64 c -4))) |
(-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) |
(/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) 1/2))) |
(/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) 1/2)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b)))) (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b)))) (cbrt.f64 (pow.f64 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b))) 2)) (cbrt.f64 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b)))) (sqrt.f64 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a) (/.f64 1 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b)) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 a (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b)) (/.f64 a 1/2))))) (#(struct:change #<rule 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*.f64 (/.f64 1 (cbrt.f64 (*.f64 1/4 (pow.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b) 2)))) (/.f64 a (cbrt.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (*.f64 1/4 (pow.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b) 2)))) (cbrt.f64 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) (cbrt.f64 (*.f64 1/4 (pow.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b) 2)))) (/.f64 (sqrt.f64 a) (cbrt.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b) 1/2))) (/.f64 a (sqrt.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b) 1/2))) (/.f64 (cbrt.f64 a) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b) (/.f64 a 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b) 1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b))))))))) |
| 1× | egg-herbie |
| 825× | associate-/r*_binary64 |
| 635× | unswap-sqr_binary64 |
| 447× | associate-*l/_binary64 |
| 394× | associate-*r/_binary64 |
| 259× | associate-+l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 222 | 1791 |
| 1 | 688 | 1412 |
| 2 | 2820 | 1348 |
| 3 | 7349 | 1341 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))))) |
(*.f64 -2 b) |
(+.f64 (*.f64 -2 b) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))) |
(+.f64 (*.f64 -2 b) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))))) |
(+.f64 (*.f64 -2 b) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))) |
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))))))) |
(*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)))) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))) |
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
(*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))) |
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))) |
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))) |
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 b 3) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4)))))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))))) |
(*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) |
(+.f64 (/.f64 a b) (*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))))) |
(+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (/.f64 a b) (*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))))) |
(+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (/.f64 a b) (+.f64 (*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -2 (/.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 1/4 (*.f64 c (*.f64 a (*.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))))))))) (pow.f64 b 5)))))) |
(*.f64 -1 (/.f64 a b)) |
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3)))) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))))) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6)))) (*.f64 1/128 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 b b)) (sqrt.f64 -4))) b)) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) 1/2)) b)) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) 1/2) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 b b)) (sqrt.f64 -4))) b))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) 1/2)) b))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4))) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) 1/2) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b)))) |
(*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) |
(*.f64 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))) |
(*.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4))) |
(*.f64 1/2 (*.f64 (/.f64 -4 (/.f64 b c)) a)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))))) |
(fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3))) |
(fma.f64 1/2 (*.f64 (/.f64 -4 (/.f64 b c)) a) (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -2) (pow.f64 b 3))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (*.f64 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))))) |
(+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3)) (fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (*.f64 1/16 (/.f64 (*.f64 (pow.f64 a 3) -64) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 1/16 (pow.f64 c 3)) (*.f64 (pow.f64 a 3) -64)) (pow.f64 b 5)) (fma.f64 1/2 (*.f64 (/.f64 -4 (/.f64 b c)) a) (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -2) (pow.f64 b 3)))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (*.f64 (*.f64 -1/8 (*.f64 c c)) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) 2)) (pow.f64 b 7)) (*.f64 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))))))) |
(+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (*.f64 (pow.f64 a 3) -64) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) 2)) (pow.f64 b 7)))))) |
(+.f64 (fma.f64 1/16 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) -64) (*.f64 (/.f64 -1/2 (pow.f64 b 7)) (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))))) (fma.f64 1/2 (*.f64 (/.f64 -4 (/.f64 b c)) a) (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -2) (pow.f64 b 3)))) |
(*.f64 -2 b) |
(*.f64 b -2) |
(+.f64 (*.f64 -2 b) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))) |
(fma.f64 -2 b (*.f64 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) -1/2)) |
(fma.f64 b -2 (*.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2)) |
(fma.f64 (*.f64 (/.f64 -4 (/.f64 b c)) a) -1/2 (*.f64 b -2)) |
(+.f64 (*.f64 -2 b) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))))) |
(fma.f64 -2 b (fma.f64 -1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) 1/8))) |
(fma.f64 b -2 (fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (/.f64 1/8 (/.f64 (pow.f64 b 3) (*.f64 (*.f64 c c) (*.f64 a (*.f64 a 16))))))) |
(fma.f64 b -2 (fma.f64 (*.f64 (/.f64 -4 (/.f64 b c)) a) -1/2 (*.f64 (*.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) 16) 1/8))) |
(+.f64 (*.f64 -2 b) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))) |
(fma.f64 -2 b (fma.f64 -1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) -1/16)))) |
(fma.f64 b -2 (fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) 1/8 (*.f64 (/.f64 (*.f64 (pow.f64 a 3) -64) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) -1/16)))) |
(fma.f64 b -2 (fma.f64 (*.f64 (/.f64 -4 (/.f64 b c)) a) -1/2 (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) -64) -1/16 (*.f64 (*.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) 16) 1/8)))) |
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(*.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)))) |
(*.f64 (sqrt.f64 -4) (*.f64 1/2 (sqrt.f64 (/.f64 c a)))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (*.f64 -1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))) |
(fma.f64 1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 b a)))) |
(fma.f64 1/4 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (*.f64 b b))) (fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (*.f64 -1/2 (/.f64 b a)))) |
(fma.f64 1/4 (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) c))) (fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 b a)))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))))))) |
(fma.f64 1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (fma.f64 -1/2 (/.f64 b a) (*.f64 -1/16 (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5))))))))) |
(fma.f64 1/4 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (*.f64 b b))) (fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (fma.f64 -1/2 (/.f64 b a) (*.f64 -1/16 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5))))))))) |
(fma.f64 1/4 (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) c))) (fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (*.f64 (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4)) -1/16))))) |
(*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) |
(*.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2)))) |
(/.f64 (*.f64 -1 c) b) |
(/.f64 (neg.f64 c) b) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)))) |
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (*.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))))) |
(fma.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a 16))) (/.f64 (*.f64 -1 c) b)) |
(fma.f64 -1/16 (*.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) 16) (/.f64 (neg.f64 c) b)) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))) |
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 1/32 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6))))))) |
(+.f64 (/.f64 (*.f64 -1 c) b) (fma.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a 16))) (*.f64 1/32 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a -64)))))) |
(+.f64 (/.f64 (neg.f64 c) b) (fma.f64 1/32 (/.f64 (*.f64 (*.f64 a a) -64) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (*.f64 (/.f64 -1/16 (pow.f64 b 3)) (*.f64 a (*.f64 16 (*.f64 c c)))))) |
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))) |
(fma.f64 -1/4 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (*.f64 (*.f64 -1/8 (*.f64 c c)) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) 2)) (*.f64 a (pow.f64 b 7))) (fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 1/32 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6)))))))) |
(fma.f64 -1/4 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) 2)) (*.f64 a (pow.f64 b 7))) (+.f64 (/.f64 (*.f64 -1 c) b) (fma.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a 16))) (*.f64 1/32 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a -64))))))) |
(fma.f64 -1/4 (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) (*.f64 a (pow.f64 b 7))) (+.f64 (/.f64 (neg.f64 c) b) (fma.f64 1/32 (/.f64 (*.f64 (*.f64 a a) -64) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (*.f64 (/.f64 -1/16 (pow.f64 b 3)) (*.f64 a (*.f64 16 (*.f64 c c))))))) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a))) |
(fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (/.f64 (neg.f64 b) a)) |
(-.f64 (/.f64 (*.f64 1 c) b) (/.f64 b a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))) |
(fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (/.f64 (neg.f64 b) a))) |
(fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a 16))) (-.f64 (/.f64 (*.f64 1 c) b) (/.f64 b a))) |
(-.f64 (fma.f64 1/16 (*.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) 16) (/.f64 c b)) (/.f64 b a)) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
(fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/32 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6)))) (/.f64 (neg.f64 b) a)))) |
(+.f64 (-.f64 (/.f64 -1/32 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (*.f64 a (*.f64 a -64))))) (/.f64 b a)) (fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a 16))) (/.f64 (*.f64 1 c) b))) |
(+.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) -1/32) (pow.f64 b 5)) (*.f64 (*.f64 a a) -64)) (/.f64 b a)) (fma.f64 1/16 (*.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) 16) (/.f64 c b))) |
(fma.f64 1/16 (*.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) 16) (fma.f64 (/.f64 (*.f64 (*.f64 a a) -64) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) -1/32 (-.f64 (/.f64 c b) (/.f64 b a)))) |
(*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))) |
(*.f64 2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4))) |
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))) |
(*.f64 2 (+.f64 (/.f64 (/.f64 b c) (pow.f64 (sqrt.f64 -4) 2)) (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))) |
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b c))) |
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))) |
(fma.f64 2 (/.f64 (/.f64 b c) (pow.f64 (sqrt.f64 -4) 2)) (fma.f64 -2 (*.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2)) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/2 (/.f64 b c)) (fma.f64 2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (*.f64 -2 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (/.f64 -1/4 (sqrt.f64 -4))) (*.f64 -1/2 (*.f64 b b)))))) |
(+.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (/.f64 1/8 (sqrt.f64 -4))) -2)) (fma.f64 2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b c)))) |
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 b 3) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4)))))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))))) |
(fma.f64 2 (/.f64 (/.f64 b c) (pow.f64 (sqrt.f64 -4) 2)) (fma.f64 -2 (*.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2)) (fma.f64 -2 (*.f64 (pow.f64 b 3) (+.f64 (/.f64 1/2 (*.f64 (*.f64 c c) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2) (sqrt.f64 -4))))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))))) |
(+.f64 (*.f64 -2 (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (/.f64 -1/4 (sqrt.f64 -4))) (*.f64 -1/2 (*.f64 b b))) (*.f64 (pow.f64 b 3) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (/.f64 -1/4 (sqrt.f64 -4))) (/.f64 (sqrt.f64 -4) -1/2)) (/.f64 1/2 (*.f64 a (*.f64 16 (*.f64 c c)))))))) (fma.f64 2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b c)))) |
(+.f64 (*.f64 -2 (*.f64 (*.f64 b b) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (/.f64 1/8 (sqrt.f64 -4))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) -1/2) 16) (/.f64 1/32 (*.f64 c (*.f64 c a)))) b)))) (fma.f64 2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b c)))) |
(*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) |
(*.f64 4 (/.f64 (/.f64 b c) (pow.f64 (sqrt.f64 -4) 2))) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(+.f64 (/.f64 a b) (*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))))) |
(+.f64 (*.f64 4 (/.f64 (/.f64 b c) (pow.f64 (sqrt.f64 -4) 2))) (/.f64 a b)) |
(+.f64 (*.f64 -1 (/.f64 b c)) (/.f64 a b)) |
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b)) |
(-.f64 (/.f64 a b) (/.f64 b c)) |
(+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (/.f64 a b) (*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a))) 1/8) (pow.f64 b 3)) (+.f64 (*.f64 4 (/.f64 (/.f64 b c) (pow.f64 (sqrt.f64 -4) 2))) (/.f64 a b))) |
(+.f64 (*.f64 -1 (/.f64 b c)) (fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (/.f64 a b))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (-.f64 (/.f64 a b) (/.f64 b c))) |
(+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (/.f64 a b) (+.f64 (*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -2 (/.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 1/4 (*.f64 c (*.f64 a (*.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))))))))) (pow.f64 b 5)))))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a))) 1/8) (pow.f64 b 3)) (+.f64 (/.f64 a b) (fma.f64 4 (/.f64 (/.f64 b c) (pow.f64 (sqrt.f64 -4) 2)) (*.f64 -2 (/.f64 (fma.f64 -2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (*.f64 (*.f64 -1/8 (*.f64 c c)) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) 2)) (*.f64 (*.f64 c c) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/16 (*.f64 (*.f64 c c) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (*.f64 1/4 (*.f64 c (*.f64 a (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a))) 1/8))))))) (pow.f64 b 5)))))) |
(+.f64 (fma.f64 -2 (/.f64 (fma.f64 -2 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) 2)) (*.f64 a (*.f64 16 (*.f64 c c)))) (fma.f64 1/4 (*.f64 c (*.f64 (*.f64 a -4) (*.f64 (*.f64 c (*.f64 a a)) -1/2))) (*.f64 (*.f64 c (*.f64 c (pow.f64 a 3))) 1))) (pow.f64 b 5)) (*.f64 -1 (/.f64 b c))) (fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (/.f64 a b))) |
(+.f64 (fma.f64 -2 (/.f64 (+.f64 (*.f64 (/.f64 -1/8 a) (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) (*.f64 c c))) (fma.f64 1/4 (*.f64 a (*.f64 (*.f64 (*.f64 a (*.f64 a 16)) (*.f64 c 1/8)) c)) (*.f64 (pow.f64 a 3) (*.f64 c c)))) (pow.f64 b 5)) (neg.f64 (/.f64 b c))) (fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (/.f64 a b))) |
(+.f64 (-.f64 (/.f64 a b) (/.f64 b c)) (*.f64 -2 (+.f64 (/.f64 (+.f64 (*.f64 (/.f64 -1/8 a) (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) (*.f64 c c))) (fma.f64 1/4 (*.f64 a (*.f64 (*.f64 (*.f64 a (*.f64 a 16)) (*.f64 c 1/8)) c)) (*.f64 (pow.f64 a 3) (*.f64 c c)))) (pow.f64 b 5)) (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3))))) |
(*.f64 -1 (/.f64 a b)) |
(neg.f64 (/.f64 a b)) |
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3)))) |
(fma.f64 -1 (/.f64 a b) (*.f64 1/4 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1) (pow.f64 b 3)) (/.f64 a b)) |
(-.f64 (/.f64 (*.f64 (neg.f64 c) (*.f64 a a)) (pow.f64 b 3)) (/.f64 a b)) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))))) |
(fma.f64 -1 (/.f64 a b) (fma.f64 1/4 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a)))) (*.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))))))) |
(-.f64 (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 16)) (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1) (pow.f64 b 3))) (/.f64 a b)) |
(-.f64 (fma.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 3) (*.f64 16 (*.f64 c c))) (pow.f64 b 5)) (/.f64 (*.f64 (neg.f64 c) (*.f64 a a)) (pow.f64 b 3))) (/.f64 a b)) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6)))) (*.f64 1/128 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))) |
(fma.f64 -1 (/.f64 a b) (fma.f64 1/4 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a)))) (fma.f64 2 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -4) 6) (pow.f64 a 4))) 5/128) (pow.f64 b 7)) (*.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4)))))))) |
(+.f64 (fma.f64 2 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 4)) -5/2) (pow.f64 b 7)) (/.f64 (*.f64 -1/8 (*.f64 c c)) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) 16)))) (-.f64 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1) (pow.f64 b 3)) (/.f64 a b))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 3) (*.f64 16 (*.f64 c c))) (pow.f64 b 5)) (/.f64 (*.f64 (neg.f64 c) (*.f64 a a)) (pow.f64 b 3))) (-.f64 (*.f64 (/.f64 2 (pow.f64 b 7)) (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 4)) -5/2)) (/.f64 a b))) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 7.1b | (/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a)) | |
| 4.7b | (/.f64 b (*.f64 c a)) | |
| 0.2b | (/.f64 -2 (/.f64 b (*.f64 c a))) | |
| ✓ | 0.2b | (/.f64 -2 (/.f64 b (*.f64 c a))) |
| ✓ | 4.7b | (/.f64 b (*.f64 c a)) |
| ✓ | 7.1b | (/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a)) |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | inf | (/.f64 b (*.f64 c a)) |
| 1.0ms | c | @ | 0 | (/.f64 -2 (/.f64 b (*.f64 c a))) |
| 1.0ms | c | @ | inf | (/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a)) |
| 1.0ms | b | @ | 0 | (/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a)) |
| 1.0ms | b | @ | 0 | (/.f64 -2 (/.f64 b (*.f64 c a))) |
| 1× | batch-egg-rewrite |
| 707× | log-prod_binary64 |
| 399× | pow-prod-down_binary64 |
| 316× | pow2_binary64 |
| 254× | pow-unpow_binary64 |
| 248× | log-div_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 33 |
| 1 | 244 | 30 |
| 2 | 3517 | 30 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
| Outputs |
|---|
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(expm1.f64 (*.f64 -1 (/.f64 (/.f64 a (/.f64 b c)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1 (/.f64 (/.f64 a (/.f64 b c)) a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 -2 (/.f64 a (/.f64 b c))) 3) (pow.f64 (+.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1 (/.f64 (/.f64 a (/.f64 b c)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1 (/.f64 (/.f64 a (/.f64 b c)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1 (/.f64 (/.f64 a (/.f64 b c)) a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1 (/.f64 (/.f64 a (/.f64 b c)) a)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 b (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 b (*.f64 c a)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 b (*.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (*.f64 c a))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (*.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 b (*.f64 c a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (*.f64 c a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (*.f64 c a))) (pow.f64 (cbrt.f64 (/.f64 b (*.f64 c a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b (*.f64 c a))) 2) (cbrt.f64 (/.f64 b (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b (*.f64 c a))) (sqrt.f64 (/.f64 b (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (*.f64 c (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 c a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b c) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) c) (/.f64 (sqrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 c) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) c) (/.f64 (cbrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) a) (/.f64 (sqrt.f64 b) c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) a) (/.f64 (cbrt.f64 b) c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) -2) (/.f64 b (cbrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (*.f64 c a)) 2)) (cbrt.f64 (/.f64 b (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (*.f64 c a)) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c a) -1/2) (/.f64 b (sqrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (*.f64 c a))) (/.f64 (cbrt.f64 b) (sqrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (*.f64 c a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (*.f64 c a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a (/.f64 b c)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b (*.f64 c a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b (*.f64 c a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (/.f64 b c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 b 3) (pow.f64 (*.f64 c a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a (/.f64 b c)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (*.f64 c (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b (*.f64 c a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 b (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 a (/.f64 b c)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 (*.f64 c a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 b (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 b (*.f64 c a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b (*.f64 c a)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2 (/.f64 a (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (/.f64 a (/.f64 b c)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (/.f64 a (/.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (/.f64 a (/.f64 b c))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (/.f64 a (/.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2 (/.f64 a (/.f64 b c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 a (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c a) (/.f64 -2 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (/.f64 a (/.f64 b c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (/.f64 (neg.f64 b) (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2 (/.f64 a (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2 (/.f64 a (/.f64 b c)))) (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 a (/.f64 b c)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 a (/.f64 b c)))) 2) (cbrt.f64 (*.f64 -2 (/.f64 a (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -2 (/.f64 a (/.f64 b c)))) (sqrt.f64 (*.f64 -2 (/.f64 a (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (/.f64 b c)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 b) (*.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (neg.f64 b)) (*.f64 c (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (/.f64 b c)) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 b) c) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 b) a) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 b) 1) (*.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 b) (pow.f64 (cbrt.f64 (*.f64 c a)) 2)) (cbrt.f64 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 b) (sqrt.f64 (*.f64 c a))) (sqrt.f64 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (/.f64 a (/.f64 b c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (pow.f64 (/.f64 a (/.f64 b c)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2 (/.f64 a (/.f64 b c))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 a (/.f64 b c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 a (/.f64 b c)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 b (*.f64 c a)) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 b (*.f64 c a)) -1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (/.f64 a (/.f64 b c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (/.f64 a (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (/.f64 a (/.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (/.f64 a (/.f64 b c))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 a (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (/.f64 a (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2 (/.f64 a (/.f64 b c)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 a (/.f64 b c))))))))) |
| 1× | egg-herbie |
| 100× | fma-def_binary64 |
| 24× | fma-neg_binary64 |
| 19× | *-commutative_binary64 |
| 18× | distribute-rgt-in_binary64 |
| 17× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 576 |
| 1 | 21 | 576 |
| 2 | 41 | 576 |
| 3 | 74 | 576 |
| 4 | 110 | 576 |
| 5 | 129 | 576 |
| 6 | 137 | 576 |
| 7 | 158 | 576 |
| 8 | 244 | 576 |
| 9 | 340 | 576 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
| Outputs |
|---|
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 a (*.f64 (/.f64 c b) -2)) |
(*.f64 c (*.f64 -2 (/.f64 a b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 a (*.f64 (/.f64 c b) -2)) |
(*.f64 c (*.f64 -2 (/.f64 a b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 a (*.f64 (/.f64 c b) -2)) |
(*.f64 c (*.f64 -2 (/.f64 a b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 a (*.f64 (/.f64 c b) -2)) |
(*.f64 c (*.f64 -2 (/.f64 a b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 a (*.f64 (/.f64 c b) -2)) |
(*.f64 c (*.f64 -2 (/.f64 a b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 a (*.f64 (/.f64 c b) -2)) |
(*.f64 c (*.f64 -2 (/.f64 a b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 a (*.f64 (/.f64 c b) -2)) |
(*.f64 c (*.f64 -2 (/.f64 a b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 a (*.f64 (/.f64 c b) -2)) |
(*.f64 c (*.f64 -2 (/.f64 a b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 a (*.f64 (/.f64 c b) -2)) |
(*.f64 c (*.f64 -2 (/.f64 a b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 a (*.f64 (/.f64 c b) -2)) |
(*.f64 c (*.f64 -2 (/.f64 a b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 a (*.f64 (/.f64 c b) -2)) |
(*.f64 c (*.f64 -2 (/.f64 a b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 a (*.f64 (/.f64 c b) -2)) |
(*.f64 c (*.f64 -2 (/.f64 a b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 a (*.f64 (/.f64 c b) -2)) |
(*.f64 c (*.f64 -2 (/.f64 a b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 a (*.f64 (/.f64 c b) -2)) |
(*.f64 c (*.f64 -2 (/.f64 a b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 a (*.f64 (/.f64 c b) -2)) |
(*.f64 c (*.f64 -2 (/.f64 a b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 a (*.f64 (/.f64 c b) -2)) |
(*.f64 c (*.f64 -2 (/.f64 a b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 a (*.f64 (/.f64 c b) -2)) |
(*.f64 c (*.f64 -2 (/.f64 a b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 a (*.f64 (/.f64 c b) -2)) |
(*.f64 c (*.f64 -2 (/.f64 a b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 a (*.f64 (/.f64 c b) -2)) |
(*.f64 c (*.f64 -2 (/.f64 a b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 a (*.f64 (/.f64 c b) -2)) |
(*.f64 c (*.f64 -2 (/.f64 a b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 a (*.f64 (/.f64 c b) -2)) |
(*.f64 c (*.f64 -2 (/.f64 a b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 a (*.f64 (/.f64 c b) -2)) |
(*.f64 c (*.f64 -2 (/.f64 a b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 a (*.f64 (/.f64 c b) -2)) |
(*.f64 c (*.f64 -2 (/.f64 a b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 a (*.f64 (/.f64 c b) -2)) |
(*.f64 c (*.f64 -2 (/.f64 a b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 a (*.f64 (/.f64 c b) -2)) |
(*.f64 c (*.f64 -2 (/.f64 a b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 a (*.f64 (/.f64 c b) -2)) |
(*.f64 c (*.f64 -2 (/.f64 a b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 a (*.f64 (/.f64 c b) -2)) |
(*.f64 c (*.f64 -2 (/.f64 a b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 a (*.f64 (/.f64 c b) -2)) |
(*.f64 c (*.f64 -2 (/.f64 a b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 a (*.f64 (/.f64 c b) -2)) |
(*.f64 c (*.f64 -2 (/.f64 a b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 a (*.f64 (/.f64 c b) -2)) |
(*.f64 c (*.f64 -2 (/.f64 a b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 a (*.f64 (/.f64 c b) -2)) |
(*.f64 c (*.f64 -2 (/.f64 a b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 a (*.f64 (/.f64 c b) -2)) |
(*.f64 c (*.f64 -2 (/.f64 a b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 a (*.f64 (/.f64 c b) -2)) |
(*.f64 c (*.f64 -2 (/.f64 a b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 a (*.f64 (/.f64 c b) -2)) |
(*.f64 c (*.f64 -2 (/.f64 a b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 a (*.f64 (/.f64 c b) -2)) |
(*.f64 c (*.f64 -2 (/.f64 a b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 a (*.f64 (/.f64 c b) -2)) |
(*.f64 c (*.f64 -2 (/.f64 a b))) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 11.2b | (sqrt.f64 (*.f64 c (*.f64 a -4))) | |
| 0.6b | (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) | |
| 0.3b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1) (*.f64 2 a)) | |
| 0.2b | (*.f64 c (*.f64 a -4)) | |
| ✓ | 0.2b | (*.f64 c (*.f64 a -4)) |
| ✓ | 0.3b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1) (*.f64 2 a)) |
| ✓ | 0.6b | (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) |
| ✓ | 11.2b | (sqrt.f64 (*.f64 c (*.f64 a -4))) |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | c | @ | -inf | (*.f64 c (*.f64 a -4)) |
| 1.0ms | a | @ | inf | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1) (*.f64 2 a)) |
| 1.0ms | c | @ | inf | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1) (*.f64 2 a)) |
| 1.0ms | a | @ | -inf | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1) (*.f64 2 a)) |
| 1.0ms | c | @ | -inf | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1) (*.f64 2 a)) |
| 1× | batch-egg-rewrite |
| 736× | log-prod_binary64 |
| 680× | prod-diff_binary64 |
| 254× | expm1-udef_binary64 |
| 254× | log1p-udef_binary64 |
| 238× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 52 |
| 1 | 323 | 52 |
| 2 | 3913 | 52 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 c (*.f64 a -4))) |
(+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) |
(/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1) (*.f64 2 a)) |
(*.f64 c (*.f64 a -4)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 c (*.f64 a -4))) (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))) (cbrt.f64 (*.f64 c (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 1/4) (pow.f64 (*.f64 c (*.f64 a -4)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 c (*.f64 a -4))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 c (*.f64 a -4))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 c (*.f64 a -4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c a) 1/2) (sqrt.f64 -4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (*.f64 a -4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 a -4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) |
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) -4) c)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) -4) c)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) -4) c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) -4) c))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) -4) c))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c (*.f64 a -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (*.f64 a -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c (*.f64 a -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a) -4) c))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 (*.f64 a -4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 a -4) 3) (pow.f64 c 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 a -4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c (*.f64 a -4)))))))) |
| 1× | egg-herbie |
| 917× | times-frac_binary64 |
| 679× | associate-/l*_binary64 |
| 557× | unswap-sqr_binary64 |
| 491× | associate-/r*_binary64 |
| 491× | fma-def_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 144 | 1271 |
| 1 | 420 | 1067 |
| 2 | 1541 | 1022 |
| 3 | 6532 | 998 |
| 4 | 7649 | 994 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(*.f64 2 b) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)))) |
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7)))))) |
(*.f64 2 b) |
(*.f64 2 b) |
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a)))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 1/2 (/.f64 b a))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))) |
(+.f64 (/.f64 b a) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))))) |
(+.f64 (/.f64 b a) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)))))) |
(*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 a (pow.f64 b 7)))) (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))) |
(/.f64 b a) |
(/.f64 b a) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) |
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) |
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b) |
(+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 b (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))) |
(+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/2))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 1/2 (*.f64 (/.f64 b (sqrt.f64 -4)) b)) b)) |
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 1/2 (*.f64 (/.f64 b (sqrt.f64 -4)) b)) b)) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 b (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4))) (+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/2)))) |
(+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 1/2 (*.f64 (/.f64 b (sqrt.f64 -4)) b)) b)) (*.f64 1/32 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))))) |
(+.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 1/2 (*.f64 (/.f64 b (sqrt.f64 -4)) b)) b)) (*.f64 1/32 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))))) |
(*.f64 2 b) |
(*.f64 b 2) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)) |
(fma.f64 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 b 2)) |
(fma.f64 1/2 (/.f64 c (/.f64 b (*.f64 a -4))) (*.f64 b 2)) |
(fma.f64 b 2 (*.f64 (/.f64 1/2 b) (*.f64 (*.f64 c a) -4))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 b 2))) |
(+.f64 (fma.f64 1/2 (/.f64 c (/.f64 b (*.f64 a -4))) (*.f64 b 2)) (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3))) |
(fma.f64 b 2 (fma.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b)) (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -2) (pow.f64 b 3)))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (fma.f64 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 b 2)))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3)) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) (fma.f64 1/2 (/.f64 c (/.f64 b (*.f64 a -4))) (*.f64 b 2)))) |
(fma.f64 1/16 (/.f64 (pow.f64 a 3) (/.f64 (/.f64 (pow.f64 b 5) (pow.f64 c 3)) -64)) (fma.f64 b 2 (fma.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b)) (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -2) (pow.f64 b 3))))) |
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) |
(*.f64 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) -1/2) |
(*.f64 (/.f64 c (/.f64 b (*.f64 a -4))) -1/2) |
(*.f64 (/.f64 -1/2 b) (*.f64 (*.f64 c a) -4)) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))) |
(fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) -1/2)) |
(fma.f64 (/.f64 c (/.f64 b (*.f64 a -4))) -1/2 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) 16)) 1/8) (pow.f64 b 3))) |
(fma.f64 (*.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) 16)) (*.f64 a a)) 1/8 (*.f64 (/.f64 -1/2 b) (*.f64 (*.f64 c a) -4))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))) |
(fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (/.f64 (*.f64 -1/16 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (pow.f64 b 5)))) |
(fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 (*.f64 a a) 16)) 1/8 (fma.f64 (/.f64 c (/.f64 b (*.f64 a -4))) -1/2 (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) -1/16))) |
(fma.f64 (/.f64 (pow.f64 a 3) (/.f64 (/.f64 (pow.f64 b 5) (pow.f64 c 3)) -64)) -1/16 (fma.f64 (*.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) 16)) (*.f64 a a)) 1/8 (*.f64 (/.f64 -1/2 b) (*.f64 (*.f64 c a) -4)))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7)))))) |
(fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (*.f64 1/2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7)))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 (*.f64 a a) 16)) 1/8 (fma.f64 (/.f64 c (/.f64 b (*.f64 a -4))) -1/2 (fma.f64 1/2 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) 2)) (pow.f64 b 7)) (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) -1/16)))) |
(fma.f64 (*.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) 16)) (*.f64 a a)) 1/8 (fma.f64 (/.f64 (pow.f64 a 3) (/.f64 (/.f64 (pow.f64 b 5) (pow.f64 c 3)) -64)) -1/16 (fma.f64 (*.f64 (*.f64 a -4) (/.f64 c b)) -1/2 (*.f64 (/.f64 1/2 (pow.f64 b 7)) (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) 16)) (*.f64 a a)) 1/8 (fma.f64 (/.f64 (pow.f64 a 3) (/.f64 (/.f64 (pow.f64 b 5) (pow.f64 c 3)) -64)) -1/16 (fma.f64 (*.f64 (*.f64 a -4) (/.f64 c b)) -1/2 (*.f64 (/.f64 1/2 (pow.f64 b 7)) (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20))))) |
(*.f64 2 b) |
(*.f64 b 2) |
(*.f64 2 b) |
(*.f64 b 2) |
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(*.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)))) |
(*.f64 (sqrt.f64 -4) (*.f64 1/2 (sqrt.f64 (/.f64 c a)))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a))) |
(*.f64 1/2 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (/.f64 b a))) |
(*.f64 1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a)))) |
(fma.f64 1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (*.f64 1/2 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))) |
(fma.f64 1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/4))) |
(fma.f64 1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) 1/4))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 1/2 (/.f64 b a))))) |
(fma.f64 1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5))))) (*.f64 1/2 (/.f64 b a))))) |
(+.f64 (fma.f64 1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/4))) (*.f64 (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4)) (*.f64 -1/16 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5)))))) |
(fma.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (*.f64 1/4 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (fma.f64 1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (*.f64 1/64 (/.f64 (pow.f64 b 4) (/.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5)))))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))) |
(+.f64 (/.f64 b a) (*.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))))) |
(+.f64 (/.f64 b a) (/.f64 (*.f64 -1 c) b)) |
(+.f64 (/.f64 b a) (/.f64 (neg.f64 c) b)) |
(-.f64 (/.f64 b a) (/.f64 c b)) |
(+.f64 (/.f64 b a) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))))) |
(+.f64 (/.f64 b a) (fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (*.f64 -1/16 (/.f64 (*.f64 (*.f64 c c) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))))) |
(+.f64 (/.f64 b a) (fma.f64 -1/16 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) (/.f64 (*.f64 -1 c) b))) |
(+.f64 (/.f64 b a) (fma.f64 -1/16 (*.f64 (/.f64 (*.f64 a 16) (pow.f64 b 3)) (*.f64 c c)) (/.f64 (neg.f64 c) b))) |
(fma.f64 -1/16 (*.f64 (/.f64 (*.f64 a 16) (pow.f64 b 3)) (*.f64 c c)) (-.f64 (/.f64 b a) (/.f64 c b))) |
(+.f64 (/.f64 b a) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)))))) |
(+.f64 (/.f64 b a) (fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 1/32 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 b 5)) (*.f64 -1/16 (/.f64 (*.f64 (*.f64 c c) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)))))) |
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1/16 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) (/.f64 (*.f64 -1 c) b)) (/.f64 (*.f64 (pow.f64 c 3) 1/32) (/.f64 (/.f64 (pow.f64 b 5) -64) (*.f64 a a))))) |
(+.f64 (/.f64 b a) (fma.f64 -1/16 (*.f64 (/.f64 (*.f64 a 16) (pow.f64 b 3)) (*.f64 c c)) (fma.f64 1/32 (*.f64 (*.f64 (*.f64 a a) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 (neg.f64 c) b)))) |
(+.f64 (-.f64 (/.f64 b a) (/.f64 c b)) (fma.f64 -1/16 (*.f64 (/.f64 (*.f64 a 16) (pow.f64 b 3)) (*.f64 c c)) (*.f64 (/.f64 1/32 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (*.f64 (*.f64 a a) -64))))) |
(*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) |
(*.f64 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) -1/4) |
(/.f64 (*.f64 1 c) b) |
(/.f64 c b) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))) |
(fma.f64 1/16 (/.f64 (*.f64 (*.f64 c c) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)) (*.f64 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) -1/4)) |
(fma.f64 1/16 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) (/.f64 (*.f64 1 c) b)) |
(fma.f64 1/16 (*.f64 (/.f64 (*.f64 a 16) (pow.f64 b 3)) (*.f64 c c)) (/.f64 c b)) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))) |
(fma.f64 1/16 (/.f64 (*.f64 (*.f64 c c) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 b 5)) -1/32))) |
(fma.f64 1/16 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) (fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a -64))) -1/32 (/.f64 (*.f64 1 c) b))) |
(fma.f64 (*.f64 (*.f64 (*.f64 a a) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) -1/32 (fma.f64 1/16 (*.f64 (/.f64 (*.f64 a 16) (pow.f64 b 3)) (*.f64 c c)) (/.f64 c b))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 a (pow.f64 b 7)))) (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))) |
(fma.f64 1/16 (/.f64 (*.f64 (*.f64 c c) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 1/4 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 a (pow.f64 b 7))) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 b 5)) -1/32)))) |
(+.f64 (fma.f64 1/16 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) (fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a -64))) -1/32 (/.f64 (*.f64 1 c) b))) (/.f64 1/4 (/.f64 (*.f64 a (pow.f64 b 7)) (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) 2))))) |
(fma.f64 1/16 (*.f64 (/.f64 (*.f64 a 16) (pow.f64 b 3)) (*.f64 c c)) (fma.f64 1/4 (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) (*.f64 a (pow.f64 b 7))) (fma.f64 (*.f64 (*.f64 (*.f64 a a) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) -1/32 (/.f64 c b)))) |
(fma.f64 1/16 (*.f64 (/.f64 (*.f64 a 16) (pow.f64 b 3)) (*.f64 c c)) (fma.f64 1/4 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (*.f64 a (pow.f64 b 7))) (fma.f64 (*.f64 (*.f64 (*.f64 a a) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) -1/32 (/.f64 c b)))) |
(/.f64 b a) |
(/.f64 b a) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 4.4b | (*.f64 (-.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (*.f64 b b)) (/.f64 1/2 a)) | |
| 0.6b | (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) | |
| 0.1b | (/.f64 (*.f64 (-.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (*.f64 b b)) (/.f64 1/2 a)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) | |
| 0.0b | (fma.f64 a (*.f64 c -4) (*.f64 b b)) | |
| ✓ | 0.6b | (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) |
| ✓ | 4.4b | (*.f64 (-.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (*.f64 b b)) (/.f64 1/2 a)) |
| 11.2b | (sqrt.f64 (*.f64 a (*.f64 c -4))) | |
| ✓ | 19.0b | (-.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (*.f64 b b)) |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | 0 | (-.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (*.f64 b b)) |
| 1.0ms | c | @ | inf | (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) |
| 1.0ms | a | @ | 0 | (-.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (*.f64 b b)) |
| 1.0ms | c | @ | -inf | (-.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (*.f64 b b)) |
| 1.0ms | a | @ | -inf | (*.f64 (-.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (*.f64 b b)) (/.f64 1/2 a)) |
| 1× | batch-egg-rewrite |
| 841× | log-prod_binary64 |
| 576× | fma-def_binary64 |
| 322× | fma-neg_binary64 |
| 306× | expm1-udef_binary64 |
| 306× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 55 |
| 1 | 356 | 55 |
| 2 | 4874 | 55 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (*.f64 b b)) |
(*.f64 (-.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (*.f64 b b)) (/.f64 1/2 a)) |
(+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 741× | associate-*r*_binary64 |
| 671× | unswap-sqr_binary64 |
| 631× | associate-*l*_binary64 |
| 533× | times-frac_binary64 |
| 413× | associate-/l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 91 | 947 |
| 1 | 258 | 854 |
| 2 | 918 | 816 |
| 3 | 6173 | 804 |
| 4 | 7919 | 792 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -2 c) |
(*.f64 -2 c) |
(*.f64 -2 c) |
(*.f64 -2 c) |
(*.f64 -2 c) |
(*.f64 -2 c) |
(*.f64 -2 c) |
(*.f64 -2 c) |
(*.f64 -2 c) |
(*.f64 -2 c) |
(*.f64 -2 c) |
(*.f64 -2 c) |
(*.f64 -2 c) |
(*.f64 -2 c) |
(*.f64 -2 c) |
(*.f64 -2 c) |
(*.f64 -2 c) |
(*.f64 -2 c) |
(*.f64 -2 c) |
(*.f64 -2 c) |
(*.f64 -2 c) |
(*.f64 -2 c) |
(*.f64 -2 c) |
(*.f64 -2 c) |
(*.f64 -2 c) |
(*.f64 -2 c) |
(*.f64 -2 c) |
(*.f64 -2 c) |
(*.f64 -2 c) |
(*.f64 -2 c) |
(*.f64 -2 c) |
(*.f64 -2 c) |
(*.f64 -2 c) |
(*.f64 -2 c) |
(*.f64 -2 c) |
(*.f64 -2 c) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(*.f64 2 b) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)))) |
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7)))))) |
(*.f64 2 b) |
(*.f64 2 b) |
| Outputs |
|---|
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -2 c) |
(*.f64 c -2) |
(*.f64 -2 c) |
(*.f64 c -2) |
(*.f64 -2 c) |
(*.f64 c -2) |
(*.f64 -2 c) |
(*.f64 c -2) |
(*.f64 -2 c) |
(*.f64 c -2) |
(*.f64 -2 c) |
(*.f64 c -2) |
(*.f64 -2 c) |
(*.f64 c -2) |
(*.f64 -2 c) |
(*.f64 c -2) |
(*.f64 -2 c) |
(*.f64 c -2) |
(*.f64 -2 c) |
(*.f64 c -2) |
(*.f64 -2 c) |
(*.f64 c -2) |
(*.f64 -2 c) |
(*.f64 c -2) |
(*.f64 -2 c) |
(*.f64 c -2) |
(*.f64 -2 c) |
(*.f64 c -2) |
(*.f64 -2 c) |
(*.f64 c -2) |
(*.f64 -2 c) |
(*.f64 c -2) |
(*.f64 -2 c) |
(*.f64 c -2) |
(*.f64 -2 c) |
(*.f64 c -2) |
(*.f64 -2 c) |
(*.f64 c -2) |
(*.f64 -2 c) |
(*.f64 c -2) |
(*.f64 -2 c) |
(*.f64 c -2) |
(*.f64 -2 c) |
(*.f64 c -2) |
(*.f64 -2 c) |
(*.f64 c -2) |
(*.f64 -2 c) |
(*.f64 c -2) |
(*.f64 -2 c) |
(*.f64 c -2) |
(*.f64 -2 c) |
(*.f64 c -2) |
(*.f64 -2 c) |
(*.f64 c -2) |
(*.f64 -2 c) |
(*.f64 c -2) |
(*.f64 -2 c) |
(*.f64 c -2) |
(*.f64 -2 c) |
(*.f64 c -2) |
(*.f64 -2 c) |
(*.f64 c -2) |
(*.f64 -2 c) |
(*.f64 c -2) |
(*.f64 -2 c) |
(*.f64 c -2) |
(*.f64 -2 c) |
(*.f64 c -2) |
(*.f64 -2 c) |
(*.f64 c -2) |
(*.f64 -2 c) |
(*.f64 c -2) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) |
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) |
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b) |
(+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 b (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))) |
(+.f64 b (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (sqrt.f64 -4) (*.f64 b b)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 1/2 (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 1/2 (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b)) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 b (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))) |
(+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (sqrt.f64 -4) (*.f64 b b))))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))) b)) |
(+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))) |
(+.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 c a) 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))) |
(*.f64 2 b) |
(*.f64 b 2) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)) |
(fma.f64 1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (*.f64 b 2)) |
(fma.f64 b 2 (*.f64 1/2 (/.f64 (*.f64 c a) (/.f64 b -4)))) |
(fma.f64 b 2 (*.f64 (/.f64 c b) (*.f64 -2 a))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b))) |
(fma.f64 -1/8 (/.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)) (*.f64 c c)) (pow.f64 b 3)) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (*.f64 b 2))) |
(+.f64 (fma.f64 b 2 (*.f64 1/2 (/.f64 (*.f64 c a) (/.f64 b -4)))) (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3))) |
(+.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) (fma.f64 b 2 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (/.f64 (pow.f64 b 3) -2)))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)))) |
(fma.f64 -1/8 (/.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)) (*.f64 c c)) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (*.f64 b 2)))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3)) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) (fma.f64 b 2 (*.f64 1/2 (/.f64 (*.f64 c a) (/.f64 b -4)))))) |
(+.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) (+.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 -4 (pow.f64 a 3))) (fma.f64 b 2 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (/.f64 (pow.f64 b 3) -2))))) |
(+.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) (+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) 3) -4) (pow.f64 b 5)) (fma.f64 b 2 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (/.f64 (pow.f64 b 3) -2))))) |
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) |
(/.f64 (*.f64 -1/2 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2))) b) |
(*.f64 (/.f64 (*.f64 c a) (/.f64 b -4)) -1/2) |
(*.f64 (/.f64 c b) (*.f64 2 a)) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))) |
(fma.f64 1/8 (/.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)) (*.f64 c c)) (pow.f64 b 3)) (/.f64 (*.f64 -1/2 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2))) b)) |
(fma.f64 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (/.f64 (pow.f64 b 3) 16)) 1/8 (*.f64 (/.f64 (*.f64 c a) (/.f64 b -4)) -1/2)) |
(+.f64 (*.f64 (/.f64 c b) (*.f64 2 a)) (/.f64 (*.f64 2 (*.f64 a (*.f64 a (*.f64 c c)))) (pow.f64 b 3))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))) |
(fma.f64 1/8 (/.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)) (*.f64 c c)) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) -1/16))) |
(fma.f64 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (/.f64 (pow.f64 b 3) 16)) 1/8 (fma.f64 (/.f64 (*.f64 c a) (/.f64 b -4)) -1/2 (/.f64 -1/16 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (*.f64 -64 (pow.f64 c 3))))))) |
(+.f64 (*.f64 (/.f64 c b) (*.f64 2 a)) (+.f64 (/.f64 (*.f64 2 (*.f64 a (*.f64 a (*.f64 c c)))) (pow.f64 b 3)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 4 (pow.f64 a 3))))) |
(+.f64 (*.f64 (/.f64 c b) (*.f64 2 a)) (+.f64 (/.f64 (*.f64 2 (*.f64 a (*.f64 a (*.f64 c c)))) (pow.f64 b 3)) (/.f64 (*.f64 (pow.f64 (*.f64 c a) 3) 4) (pow.f64 b 5)))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7)))))) |
(fma.f64 1/8 (/.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)) (*.f64 c c)) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (*.f64 1/2 (/.f64 (fma.f64 1/16 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (sqrt.f64 -4) 8)) (pow.f64 (*.f64 (*.f64 -1/8 (*.f64 c c)) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a))) 2)) (pow.f64 b 7)))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (/.f64 (pow.f64 b 3) 16)) 1/8 (fma.f64 (/.f64 (*.f64 c a) (/.f64 b -4)) -1/2 (fma.f64 1/2 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) 2)) (pow.f64 b 7)) (/.f64 -1/16 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (*.f64 -64 (pow.f64 c 3)))))))) |
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) (pow.f64 b 7)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 4 (pow.f64 a 3)))) (+.f64 (*.f64 (/.f64 c b) (*.f64 2 a)) (/.f64 (*.f64 2 (*.f64 a (*.f64 a (*.f64 c c)))) (pow.f64 b 3)))) |
(+.f64 (+.f64 (*.f64 (/.f64 c b) (*.f64 2 a)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 4 (pow.f64 a 3)))) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (/.f64 (*.f64 2 (*.f64 a (*.f64 a (*.f64 c c)))) (pow.f64 b 3)))) |
(+.f64 (+.f64 (*.f64 (/.f64 c b) (*.f64 2 a)) (/.f64 (*.f64 (pow.f64 (*.f64 c a) 3) 4) (pow.f64 b 5))) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (/.f64 (*.f64 2 (*.f64 a (*.f64 a (*.f64 c c)))) (pow.f64 b 3)))) |
(*.f64 2 b) |
(*.f64 b 2) |
(*.f64 2 b) |
(*.f64 b 2) |
Compiled 25303 to 15373 computations (39.2% saved)
23 alts after pruning (22 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 890 | 17 | 907 |
| Fresh | 15 | 5 | 20 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 1 | 4 |
| Total | 909 | 23 | 932 |
| Status | Error | Program |
|---|---|---|
| 39.5b | (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) | |
| 45.8b | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| 51.8b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)))) 1) (*.f64 2 a)) | |
| 47.3b | (*.f64 (/.f64 1/2 (sqrt.f64 a)) (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b) (sqrt.f64 a))) | |
| 39.9b | (/.f64 1 (neg.f64 (/.f64 b c))) | |
| 55.3b | (/.f64 c b) | |
| 45.9b | (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) | |
| ▶ | 30.3b | (/.f64 1 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b)))) |
| 42.3b | (*.f64 (/.f64 -2 a) (/.f64 (/.f64 a (/.f64 b c)) 2)) | |
| ✓ | 45.7b | (neg.f64 (/.f64 b a)) |
| 30.8b | (/.f64 (*.f64 -2 c) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) | |
| ▶ | 44.4b | (/.f64 (/.f64 -2 (*.f64 (/.f64 1 c) (/.f64 b a))) (*.f64 2 a)) |
| 46.7b | (/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))) b) 1/2))) | |
| 45.8b | (/.f64 1 (neg.f64 (/.f64 a b))) | |
| 42.4b | (*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (/.f64 1/2 a)) | |
| ▶ | 62.1b | (/.f64 b a) |
| 33.7b | (/.f64 (*.f64 (*.f64 -4 (*.f64 c a)) (/.f64 1/2 a)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) | |
| 39.8b | (/.f64 (neg.f64 c) b) | |
| 43.3b | (*.f64 (/.f64 (/.f64 -2 b) 2) (/.f64 (*.f64 c a) a)) | |
| ▶ | 45.8b | (*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
| 42.3b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) | |
| ▶ | 46.0b | (/.f64 1 (/.f64 a (*.f64 (fma.f64 (*.f64 (/.f64 -4 (/.f64 b c)) a) -1/2 (*.f64 b -2)) 1/2))) |
| 32.3b | (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b))) b) (/.f64 1/2 a)) |
Compiled 651 to 469 computations (28% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 c (*.f64 -4 a)) | |
| 0.1b | (/.f64 1 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b)))) | |
| 0.1b | (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b))) | |
| 0.1b | (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b)) | |
| ✓ | 0.1b | (/.f64 1 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b)))) |
| ✓ | 0.2b | (*.f64 c (*.f64 -4 a)) |
| ✓ | 0.9b | (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b) |
| ✓ | 11.2b | (sqrt.f64 (*.f64 c (*.f64 -4 a))) |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | c | @ | inf | (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b) |
| 1.0ms | c | @ | inf | (/.f64 1 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b)))) |
| 1.0ms | a | @ | inf | (/.f64 1 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b)))) |
| 1.0ms | c | @ | -inf | (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b) |
| 1.0ms | a | @ | -inf | (/.f64 1 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b)))) |
| 1× | batch-egg-rewrite |
| 765× | log-prod_binary64 |
| 581× | prod-diff_binary64 |
| 276× | expm1-udef_binary64 |
| 276× | log1p-udef_binary64 |
| 270× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 55 |
| 1 | 325 | 52 |
| 2 | 4131 | 52 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 c (*.f64 -4 a))) |
(-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b) |
(*.f64 c (*.f64 -4 a)) |
(/.f64 1 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (*.f64 c -4))) (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))) (cbrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -4 a)) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 1/4) (pow.f64 (*.f64 a (*.f64 c -4)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a (*.f64 c -4))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a (*.f64 c -4))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 a (*.f64 c -4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c -4) 1/2) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 c -4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 c -4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (fma.f64 (neg.f64 (cbrt.f64 b)) (cbrt.f64 (*.f64 b b)) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (fma.f64 -1 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 b b))) (cbrt.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b))) (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 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(*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1/2) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1/2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1/2) a)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1/2) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1/2) a)) 2) (cbrt.f64 (/.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1/2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1/2) a)) (sqrt.f64 (/.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1/2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 (*.f64 a 2)) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (pow.f64 (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)) -1) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 a (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1/2))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 a (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1/2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 a (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1/2))) -1) (pow.f64 (sqrt.f64 (/.f64 a (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1/2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 a 2)) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 a) 1) (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 a) 2) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 a) -2) (neg.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1/2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1/2) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1/2) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1/2) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 a (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1/2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1/2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1/2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1/2) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1/2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1/2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1/2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1/2) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1/2) a))))))) |
| 1× | egg-herbie |
| 919× | times-frac_binary64 |
| 684× | associate-/l*_binary64 |
| 557× | unswap-sqr_binary64 |
| 490× | associate-/r*_binary64 |
| 483× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 147 | 1261 |
| 1 | 427 | 1061 |
| 2 | 1548 | 1022 |
| 3 | 6638 | 1022 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))))) |
(*.f64 -2 b) |
(+.f64 (*.f64 -2 b) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))) |
(+.f64 (*.f64 -2 b) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))))) |
(+.f64 (*.f64 -2 b) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))))))) |
(*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)))) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))) |
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (sqrt.f64 -4) (*.f64 b b))) (neg.f64 b))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b 1/2) (/.f64 (sqrt.f64 -4) b)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (sqrt.f64 -4) (*.f64 b b))) (neg.f64 b)))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 1/32 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))))) b)) |
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(-.f64 (/.f64 (*.f64 1 c) b) (/.f64 b a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))) |
(fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b) (/.f64 (neg.f64 b) a))) |
(-.f64 (fma.f64 1/16 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) (/.f64 (*.f64 1 c) b)) (/.f64 b a)) |
(fma.f64 1/16 (*.f64 (*.f64 a 16) (/.f64 (*.f64 c c) (pow.f64 b 3))) (-.f64 (/.f64 c b) (/.f64 b a))) |
(-.f64 (fma.f64 1/16 (*.f64 (*.f64 a 16) (/.f64 (*.f64 c c) (pow.f64 b 3))) (/.f64 c b)) (/.f64 b a)) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
(fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b) (fma.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)) (/.f64 (neg.f64 b) a)))) |
(+.f64 (-.f64 (/.f64 -1/32 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (*.f64 a (*.f64 a -64))))) (/.f64 b a)) (fma.f64 1/16 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) (/.f64 (*.f64 1 c) b))) |
(fma.f64 1/16 (*.f64 (*.f64 a 16) (/.f64 (*.f64 c c) (pow.f64 b 3))) (fma.f64 (*.f64 (*.f64 a (*.f64 a -64)) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) -1/32 (-.f64 (/.f64 c b) (/.f64 b a)))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 (*.f64 b -2) (/.f64 1/2 a)) | |
| ✓ | 0.3b | (*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | 0 | (*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
| 1.0ms | a | @ | 0 | (*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
| 1.0ms | b | @ | inf | (*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
| 0.0ms | b | @ | -inf | (*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
| 0.0ms | a | @ | inf | (*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
| 1× | batch-egg-rewrite |
| 803× | pow1_binary64 |
| 746× | add-log-exp_binary64 |
| 746× | log1p-expm1-u_binary64 |
| 746× | expm1-log1p-u_binary64 |
| 733× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 171 | 7 |
| 2 | 2036 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 b (/.f64 -1 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b -2) (*.f64 a 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 b -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b -1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 b -1)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b -1) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b -1) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b -1) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (*.f64 b -2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 b -2) -1/2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (/.f64 -1 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 b (/.f64 -1 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 b (/.f64 -1 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 b (/.f64 -1 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 b (/.f64 -1 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (/.f64 -1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 b (/.f64 -1 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 b -2) 3) (pow.f64 (/.f64 1/2 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 a) 3) (pow.f64 (*.f64 b -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 b (/.f64 -1 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 b (/.f64 -1 a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 b (/.f64 -1 a)))))))) |
| 1× | egg-herbie |
| 14× | fma-def_binary64 |
| 8× | sub-neg_binary64 |
| 4× | +-commutative_binary64 |
| 4× | fma-neg_binary64 |
| 3× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 144 |
| 1 | 10 | 144 |
| 2 | 17 | 144 |
| 3 | 23 | 144 |
| 4 | 29 | 144 |
| 5 | 37 | 144 |
| 6 | 45 | 144 |
| 7 | 55 | 144 |
| 8 | 63 | 144 |
| 9 | 77 | 144 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
| Outputs |
|---|
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 7.1b | (/.f64 (/.f64 -2 (*.f64 (/.f64 1 c) (/.f64 b a))) (*.f64 2 a)) | |
| 4.2b | (*.f64 (/.f64 1 c) (/.f64 b a)) | |
| 0.2b | (/.f64 -2 (*.f64 (/.f64 1 c) (/.f64 b a))) | |
| ✓ | 0.2b | (/.f64 -2 (*.f64 (/.f64 1 c) (/.f64 b a))) |
| ✓ | 4.2b | (*.f64 (/.f64 1 c) (/.f64 b a)) |
| ✓ | 7.1b | (/.f64 (/.f64 -2 (*.f64 (/.f64 1 c) (/.f64 b a))) (*.f64 2 a)) |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | c | @ | 0 | (/.f64 (/.f64 -2 (*.f64 (/.f64 1 c) (/.f64 b a))) (*.f64 2 a)) |
| 0.0ms | b | @ | 0 | (*.f64 (/.f64 1 c) (/.f64 b a)) |
| 0.0ms | b | @ | inf | (/.f64 (/.f64 -2 (*.f64 (/.f64 1 c) (/.f64 b a))) (*.f64 2 a)) |
| 0.0ms | c | @ | inf | (/.f64 (/.f64 -2 (*.f64 (/.f64 1 c) (/.f64 b a))) (*.f64 2 a)) |
| 0.0ms | c | @ | -inf | (/.f64 -2 (*.f64 (/.f64 1 c) (/.f64 b a))) |
| 1× | batch-egg-rewrite |
| 760× | log-prod_binary64 |
| 358× | pow2_binary64 |
| 324× | log-div_binary64 |
| 254× | pow1/3_binary64 |
| 246× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 33 |
| 1 | 286 | 30 |
| 2 | 4022 | 30 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 -2 (*.f64 (/.f64 1 c) (/.f64 b a))) (*.f64 2 a)) |
(*.f64 (/.f64 1 c) (/.f64 b a)) |
(/.f64 -2 (*.f64 (/.f64 1 c) (/.f64 b a))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1 (/.f64 (*.f64 (/.f64 a b) c) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 -1 (/.f64 (*.f64 (/.f64 a b) c) a)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 -1 (/.f64 (*.f64 (/.f64 a b) c) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 -1 (/.f64 (*.f64 (/.f64 a b) c) a))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 -1 (/.f64 (*.f64 (/.f64 a b) c) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1 (/.f64 (*.f64 (/.f64 a b) c) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (*.f64 (/.f64 a b) c) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (/.f64 (*.f64 (+.f64 a a) b) (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (*.f64 (/.f64 a b) c) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1 (/.f64 (*.f64 (/.f64 a b) c) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -2 c) (/.f64 a b)) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (/.f64 (*.f64 (/.f64 a b) c) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1 (/.f64 (*.f64 (/.f64 a b) c) a))) (pow.f64 (cbrt.f64 (*.f64 -1 (/.f64 (*.f64 (/.f64 a b) c) a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -1 (/.f64 (*.f64 (/.f64 a b) c) a))) 2) (cbrt.f64 (*.f64 -1 (/.f64 (*.f64 (/.f64 a b) c) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 -2 c) (/.f64 a b))) 2) (*.f64 (cbrt.f64 (*.f64 (*.f64 -2 c) (/.f64 a b))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -1 (/.f64 (*.f64 (/.f64 a b) c) a))) (sqrt.f64 (*.f64 -1 (/.f64 (*.f64 (/.f64 a b) c) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (*.f64 -2 c) (/.f64 a b))) (*.f64 (sqrt.f64 (*.f64 (*.f64 -2 c) (/.f64 a b))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 (/.f64 a b) c) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 b (*.f64 c a))) (/.f64 1 (*.f64 -2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (*.f64 (*.f64 (*.f64 -2 c) (/.f64 a b)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (*.f64 (*.f64 -2 c) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 -2 c) (/.f64 a b)) 1/2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 (*.f64 -2 c) (/.f64 a b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 -2 c) (/.f64 a b))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (*.f64 -2 c) (/.f64 a b))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 -2 c) (/.f64 a b))) 1) (/.f64 (sqrt.f64 (*.f64 (*.f64 -2 c) (/.f64 a b))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 a) (/.f64 (*.f64 (/.f64 a b) c) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 -2 c) (/.f64 a b))) 2) a) (/.f64 (cbrt.f64 (*.f64 (*.f64 -2 c) (/.f64 a b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 -2 c) (/.f64 a b))) a) (/.f64 (sqrt.f64 (*.f64 (*.f64 -2 c) (/.f64 a b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 -2 c) (/.f64 a b))) 2) (/.f64 (sqrt.f64 (*.f64 (*.f64 -2 c) (/.f64 a b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 -2 c) (/.f64 a b))) 2) 2) (/.f64 (cbrt.f64 (*.f64 (*.f64 -2 c) (/.f64 a b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (*.f64 (/.f64 a b) c) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (*.f64 (*.f64 -2 c) (/.f64 a b)) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 -2 c) (/.f64 a b))) 2) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (cbrt.f64 (*.f64 -1 (/.f64 (*.f64 (/.f64 a b) c) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 -2 c) (/.f64 a b))) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (sqrt.f64 (*.f64 (*.f64 -2 c) (/.f64 a b))) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (sqrt.f64 (+.f64 a a))) (/.f64 (*.f64 (/.f64 a b) c) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 (*.f64 (*.f64 -2 c) (/.f64 a b)) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 -2 c) (/.f64 a b))) 2) (sqrt.f64 (+.f64 a a))) (/.f64 (cbrt.f64 (*.f64 (*.f64 -2 c) (/.f64 a b))) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1 (/.f64 (*.f64 (/.f64 a b) c) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1 (/.f64 (*.f64 (/.f64 a b) c) a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1 (/.f64 (*.f64 (/.f64 a b) c) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1 (/.f64 (*.f64 (/.f64 a b) c) a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1 (/.f64 a (*.f64 (/.f64 a b) c))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 -2 c) (/.f64 a b)) 3) (pow.f64 (+.f64 a a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (/.f64 b c) (*.f64 -2 a)) (+.f64 a a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (*.f64 (+.f64 a a) b) (*.f64 c a)) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 -1 (/.f64 a (*.f64 (/.f64 a b) c))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (*.f64 -2 c) (/.f64 a b)) (*.f64 -2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -1 (/.f64 (*.f64 (/.f64 a b) c) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 -1 (/.f64 (*.f64 (/.f64 a b) c) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1 (/.f64 (*.f64 (/.f64 a b) c) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1 (/.f64 (*.f64 (/.f64 a b) c) a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 -2 c) (/.f64 a b)) 3) (pow.f64 (+.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1 (/.f64 (*.f64 (/.f64 a b) c) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1 (/.f64 (*.f64 (/.f64 a b) c) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1 (/.f64 (*.f64 (/.f64 a b) c) a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1 (/.f64 (*.f64 (/.f64 a b) c) a)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 b (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 b (*.f64 c a)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 b (*.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (*.f64 c a))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (*.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 b (*.f64 c a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 a b) c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 c (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 c a) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 c) (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (*.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (/.f64 c (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b a) c)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (/.f64 c (cbrt.f64 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (*.f64 c a) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 b a)) (/.f64 c (sqrt.f64 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 b) (/.f64 (*.f64 c a) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 c) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 a b) (neg.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b) (neg.f64 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b) (*.f64 (neg.f64 c) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b) (*.f64 c (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b c) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 b a)) (neg.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 b c)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (neg.f64 b)) (*.f64 (neg.f64 c) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b) 1) (*.f64 (neg.f64 a) c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b -1) (*.f64 a (neg.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b) -1) (*.f64 (neg.f64 a) (neg.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 b a) (sqrt.f64 c)) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 b a) 1) c)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 b a) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 b c) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 b c) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 b c) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 b a)) (neg.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b) (/.f64 1 c)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 c) (neg.f64 b)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 b a) -1) (neg.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (*.f64 c a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (*.f64 c a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b (*.f64 c a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b (*.f64 c a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 a b) c) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 b a) 3) (pow.f64 c 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (pow.f64 c -2) c) (pow.f64 (/.f64 b a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 b a) 3) (/.f64 (pow.f64 c -2) c)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (/.f64 a b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 c a) b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (/.f64 b c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b (*.f64 c a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 b (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b (*.f64 c a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 b a) 3) (pow.f64 c 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 c -2) c) (pow.f64 (/.f64 b a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 b a) 3) (/.f64 (pow.f64 c -2) c)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 b (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 b (*.f64 c a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b (*.f64 c a)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 -2 c) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 (/.f64 a b) c))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 (/.f64 a b) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (*.f64 (/.f64 a b) c)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (*.f64 (/.f64 a b) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 -2 c) (/.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (/.f64 a b) c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 -2 c) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -2 c) (/.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (/.f64 (neg.f64 b) (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 -2 c) (/.f64 a b))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 -2 c) (/.f64 a b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 -2 c) (/.f64 a b))) 2) (cbrt.f64 (*.f64 (*.f64 -2 c) (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (*.f64 -2 c) (/.f64 a b))) (sqrt.f64 (*.f64 (*.f64 -2 c) (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 a b) c) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 c) (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 b) (*.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (/.f64 b a)) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (/.f64 b c)) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -2 c) 1) (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -2 c) b) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -2 c) (neg.f64 b)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 -2 c) (/.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 -2 c) (/.f64 a b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 -2 c) (/.f64 a b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 -2 c) (/.f64 a b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 b c) (*.f64 -2 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (/.f64 b c) (*.f64 -2 a)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (/.f64 b (*.f64 c a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (*.f64 (/.f64 a b) c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 -2 c) (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 -2 c) (/.f64 a b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 -2 c) (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 -2 c) (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 -2 c) (/.f64 a b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 -2 c) (/.f64 a b)))))))) |
| 1× | egg-herbie |
| 100× | fma-def_binary64 |
| 24× | fma-neg_binary64 |
| 19× | *-commutative_binary64 |
| 18× | distribute-rgt-in_binary64 |
| 16× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 828 |
| 1 | 24 | 828 |
| 2 | 43 | 828 |
| 3 | 77 | 828 |
| 4 | 108 | 828 |
| 5 | 128 | 828 |
| 6 | 136 | 828 |
| 7 | 157 | 828 |
| 8 | 243 | 828 |
| 9 | 339 | 828 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
| Outputs |
|---|
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(/.f64 b (*.f64 c a)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 c (*.f64 (/.f64 -2 b) a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 c (*.f64 (/.f64 -2 b) a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 c (*.f64 (/.f64 -2 b) a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 c (*.f64 (/.f64 -2 b) a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 c (*.f64 (/.f64 -2 b) a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 c (*.f64 (/.f64 -2 b) a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 c (*.f64 (/.f64 -2 b) a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 c (*.f64 (/.f64 -2 b) a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 c (*.f64 (/.f64 -2 b) a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 c (*.f64 (/.f64 -2 b) a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 c (*.f64 (/.f64 -2 b) a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 c (*.f64 (/.f64 -2 b) a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 c (*.f64 (/.f64 -2 b) a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 c (*.f64 (/.f64 -2 b) a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 c (*.f64 (/.f64 -2 b) a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 c (*.f64 (/.f64 -2 b) a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 c (*.f64 (/.f64 -2 b) a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 c (*.f64 (/.f64 -2 b) a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 c (*.f64 (/.f64 -2 b) a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 c (*.f64 (/.f64 -2 b) a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 c (*.f64 (/.f64 -2 b) a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 c (*.f64 (/.f64 -2 b) a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 c (*.f64 (/.f64 -2 b) a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 c (*.f64 (/.f64 -2 b) a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 c (*.f64 (/.f64 -2 b) a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 c (*.f64 (/.f64 -2 b) a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 c (*.f64 (/.f64 -2 b) a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 c (*.f64 (/.f64 -2 b) a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 c (*.f64 (/.f64 -2 b) a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 c (*.f64 (/.f64 -2 b) a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 c (*.f64 (/.f64 -2 b) a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 c (*.f64 (/.f64 -2 b) a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 c (*.f64 (/.f64 -2 b) a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 c (*.f64 (/.f64 -2 b) a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 c (*.f64 (/.f64 -2 b) a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 c (*.f64 (/.f64 -2 b) a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 5.5b | (*.f64 (/.f64 -4 (/.f64 b c)) a) | |
| 3.5b | (/.f64 a (*.f64 (fma.f64 (*.f64 (/.f64 -4 (/.f64 b c)) a) -1/2 (*.f64 b -2)) 1/2)) | |
| 0.7b | (/.f64 -4 (/.f64 b c)) | |
| 0.2b | (/.f64 1 (/.f64 a (*.f64 (fma.f64 (*.f64 (/.f64 -4 (/.f64 b c)) a) -1/2 (*.f64 b -2)) 1/2))) | |
| ✓ | 0.2b | (/.f64 1 (/.f64 a (*.f64 (fma.f64 (*.f64 (/.f64 -4 (/.f64 b c)) a) -1/2 (*.f64 b -2)) 1/2))) |
| ✓ | 0.7b | (/.f64 -4 (/.f64 b c)) |
| ✓ | 3.5b | (/.f64 a (*.f64 (fma.f64 (*.f64 (/.f64 -4 (/.f64 b c)) a) -1/2 (*.f64 b -2)) 1/2)) |
| ✓ | 5.5b | (*.f64 (/.f64 -4 (/.f64 b c)) a) |
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | b | @ | inf | (/.f64 1 (/.f64 a (*.f64 (fma.f64 (*.f64 (/.f64 -4 (/.f64 b c)) a) -1/2 (*.f64 b -2)) 1/2))) |
| 1.0ms | a | @ | 0 | (/.f64 a (*.f64 (fma.f64 (*.f64 (/.f64 -4 (/.f64 b c)) a) -1/2 (*.f64 b -2)) 1/2)) |
| 1.0ms | b | @ | -inf | (/.f64 1 (/.f64 a (*.f64 (fma.f64 (*.f64 (/.f64 -4 (/.f64 b c)) a) -1/2 (*.f64 b -2)) 1/2))) |
| 1.0ms | b | @ | inf | (/.f64 a (*.f64 (fma.f64 (*.f64 (/.f64 -4 (/.f64 b c)) a) -1/2 (*.f64 b -2)) 1/2)) |
| 1.0ms | b | @ | 0 | (/.f64 a (*.f64 (fma.f64 (*.f64 (/.f64 -4 (/.f64 b c)) a) -1/2 (*.f64 b -2)) 1/2)) |
| 1× | batch-egg-rewrite |
| 887× | log-prod_binary64 |
| 308× | expm1-udef_binary64 |
| 308× | log1p-udef_binary64 |
| 254× | log-pow_binary64 |
| 230× | log-div_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 66 |
| 1 | 366 | 63 |
| 2 | 4653 | 63 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 -4 (/.f64 b c)) a) |
(/.f64 a (*.f64 (fma.f64 (*.f64 (/.f64 -4 (/.f64 b c)) a) -1/2 (*.f64 b -2)) 1/2)) |
(/.f64 -4 (/.f64 b c)) |
(/.f64 1 (/.f64 a (*.f64 (fma.f64 (*.f64 (/.f64 -4 (/.f64 b c)) a) -1/2 (*.f64 b -2)) 1/2))) |
| Outputs |
|---|
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c b)) (*.f64 a -1/2)))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 b -2 (*.f64 (*.f64 -4 (/.f64 c b)) (*.f64 a -1/2))) (/.f64 a 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 b -2 (*.f64 (*.f64 -4 (/.f64 c b)) (*.f64 a -1/2))) (/.f64 a 1/2)))))))) |
| 1× | egg-herbie |
| 753× | associate-*l/_binary64 |
| 723× | associate-/r/_binary64 |
| 513× | unswap-sqr_binary64 |
| 501× | associate-*r/_binary64 |
| 344× | times-frac_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 1987 |
| 1 | 160 | 1909 |
| 2 | 580 | 1869 |
| 3 | 3266 | 1865 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -1 (/.f64 a b)) |
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 -1 (/.f64 (*.f64 c (pow.f64 a 2)) (pow.f64 b 3)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 -1 (/.f64 (*.f64 c (pow.f64 a 2)) (pow.f64 b 3))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 4)) (pow.f64 b 7))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 -1 (/.f64 (*.f64 c (pow.f64 a 2)) (pow.f64 b 3)))))) |
(/.f64 b c) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 c 2) a)) (/.f64 b c)) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 c 2) a)) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 2))) (/.f64 b c))) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 c 2) a)) (+.f64 (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 4) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 2))) (/.f64 b c)))) |
(/.f64 b c) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 c 2) a)) (/.f64 b c)) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 c 2) a)) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 2))) (/.f64 b c))) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 c 2) a)) (+.f64 (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 4) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 2))) (/.f64 b c)))) |
(/.f64 b c) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 c 2) a)) (/.f64 b c)) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 c 2) a)) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 2))) (/.f64 b c))) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 c 2) a)) (+.f64 (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 4) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 2))) (/.f64 b c)))) |
(*.f64 -1 (/.f64 a b)) |
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 -1 (/.f64 (*.f64 c (pow.f64 a 2)) (pow.f64 b 3)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 -1 (/.f64 (*.f64 c (pow.f64 a 2)) (pow.f64 b 3))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 4)) (pow.f64 b 7))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 -1 (/.f64 (*.f64 c (pow.f64 a 2)) (pow.f64 b 3)))))) |
(*.f64 -1 (/.f64 a b)) |
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 -1 (/.f64 (*.f64 c (pow.f64 a 2)) (pow.f64 b 3)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 -1 (/.f64 (*.f64 c (pow.f64 a 2)) (pow.f64 b 3))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 4)) (pow.f64 b 7))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 -1 (/.f64 (*.f64 c (pow.f64 a 2)) (pow.f64 b 3)))))) |
(*.f64 -1 (/.f64 a b)) |
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 -1 (/.f64 (*.f64 c (pow.f64 a 2)) (pow.f64 b 3)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 -1 (/.f64 (*.f64 c (pow.f64 a 2)) (pow.f64 b 3))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 4)) (pow.f64 b 7))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 -1 (/.f64 (*.f64 c (pow.f64 a 2)) (pow.f64 b 3)))))) |
(/.f64 b c) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 c 2) a)) (/.f64 b c)) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 c 2) a)) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 2))) (/.f64 b c))) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 c 2) a)) (+.f64 (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 4) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 2))) (/.f64 b c)))) |
(/.f64 b c) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 c 2) a)) (/.f64 b c)) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 c 2) a)) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 2))) (/.f64 b c))) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 c 2) a)) (+.f64 (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 4) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 2))) (/.f64 b c)))) |
(*.f64 -4 (/.f64 c b)) |
(*.f64 -4 (/.f64 c b)) |
(*.f64 -4 (/.f64 c b)) |
(*.f64 -4 (/.f64 c b)) |
(*.f64 -4 (/.f64 c b)) |
(*.f64 -4 (/.f64 c b)) |
(*.f64 -4 (/.f64 c b)) |
(*.f64 -4 (/.f64 c b)) |
(*.f64 -4 (/.f64 c b)) |
(*.f64 -4 (/.f64 c b)) |
(*.f64 -4 (/.f64 c b)) |
(*.f64 -4 (/.f64 c b)) |
(*.f64 -4 (/.f64 c b)) |
(*.f64 -4 (/.f64 c b)) |
(*.f64 -4 (/.f64 c b)) |
(*.f64 -4 (/.f64 c b)) |
(*.f64 -4 (/.f64 c b)) |
(*.f64 -4 (/.f64 c b)) |
(*.f64 -4 (/.f64 c b)) |
(*.f64 -4 (/.f64 c b)) |
(*.f64 -4 (/.f64 c b)) |
(*.f64 -4 (/.f64 c b)) |
(*.f64 -4 (/.f64 c b)) |
(*.f64 -4 (/.f64 c b)) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
| Outputs |
|---|
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (*.f64 (/.f64 c b) a)) |
(*.f64 (*.f64 -4 (/.f64 c b)) a) |
(*.f64 (/.f64 c b) (*.f64 -4 a)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (*.f64 (/.f64 c b) a)) |
(*.f64 (*.f64 -4 (/.f64 c b)) a) |
(*.f64 (/.f64 c b) (*.f64 -4 a)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (*.f64 (/.f64 c b) a)) |
(*.f64 (*.f64 -4 (/.f64 c b)) a) |
(*.f64 (/.f64 c b) (*.f64 -4 a)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (*.f64 (/.f64 c b) a)) |
(*.f64 (*.f64 -4 (/.f64 c b)) a) |
(*.f64 (/.f64 c b) (*.f64 -4 a)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (*.f64 (/.f64 c b) a)) |
(*.f64 (*.f64 -4 (/.f64 c b)) a) |
(*.f64 (/.f64 c b) (*.f64 -4 a)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (*.f64 (/.f64 c b) a)) |
(*.f64 (*.f64 -4 (/.f64 c b)) a) |
(*.f64 (/.f64 c b) (*.f64 -4 a)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (*.f64 (/.f64 c b) a)) |
(*.f64 (*.f64 -4 (/.f64 c b)) a) |
(*.f64 (/.f64 c b) (*.f64 -4 a)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (*.f64 (/.f64 c b) a)) |
(*.f64 (*.f64 -4 (/.f64 c b)) a) |
(*.f64 (/.f64 c b) (*.f64 -4 a)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (*.f64 (/.f64 c b) a)) |
(*.f64 (*.f64 -4 (/.f64 c b)) a) |
(*.f64 (/.f64 c b) (*.f64 -4 a)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (*.f64 (/.f64 c b) a)) |
(*.f64 (*.f64 -4 (/.f64 c b)) a) |
(*.f64 (/.f64 c b) (*.f64 -4 a)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (*.f64 (/.f64 c b) a)) |
(*.f64 (*.f64 -4 (/.f64 c b)) a) |
(*.f64 (/.f64 c b) (*.f64 -4 a)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (*.f64 (/.f64 c b) a)) |
(*.f64 (*.f64 -4 (/.f64 c b)) a) |
(*.f64 (/.f64 c b) (*.f64 -4 a)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (*.f64 (/.f64 c b) a)) |
(*.f64 (*.f64 -4 (/.f64 c b)) a) |
(*.f64 (/.f64 c b) (*.f64 -4 a)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (*.f64 (/.f64 c b) a)) |
(*.f64 (*.f64 -4 (/.f64 c b)) a) |
(*.f64 (/.f64 c b) (*.f64 -4 a)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (*.f64 (/.f64 c b) a)) |
(*.f64 (*.f64 -4 (/.f64 c b)) a) |
(*.f64 (/.f64 c b) (*.f64 -4 a)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (*.f64 (/.f64 c b) a)) |
(*.f64 (*.f64 -4 (/.f64 c b)) a) |
(*.f64 (/.f64 c b) (*.f64 -4 a)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (*.f64 (/.f64 c b) a)) |
(*.f64 (*.f64 -4 (/.f64 c b)) a) |
(*.f64 (/.f64 c b) (*.f64 -4 a)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (*.f64 (/.f64 c b) a)) |
(*.f64 (*.f64 -4 (/.f64 c b)) a) |
(*.f64 (/.f64 c b) (*.f64 -4 a)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (*.f64 (/.f64 c b) a)) |
(*.f64 (*.f64 -4 (/.f64 c b)) a) |
(*.f64 (/.f64 c b) (*.f64 -4 a)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (*.f64 (/.f64 c b) a)) |
(*.f64 (*.f64 -4 (/.f64 c b)) a) |
(*.f64 (/.f64 c b) (*.f64 -4 a)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (*.f64 (/.f64 c b) a)) |
(*.f64 (*.f64 -4 (/.f64 c b)) a) |
(*.f64 (/.f64 c b) (*.f64 -4 a)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (*.f64 (/.f64 c b) a)) |
(*.f64 (*.f64 -4 (/.f64 c b)) a) |
(*.f64 (/.f64 c b) (*.f64 -4 a)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (*.f64 (/.f64 c b) a)) |
(*.f64 (*.f64 -4 (/.f64 c b)) a) |
(*.f64 (/.f64 c b) (*.f64 -4 a)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (*.f64 (/.f64 c b) a)) |
(*.f64 (*.f64 -4 (/.f64 c b)) a) |
(*.f64 (/.f64 c b) (*.f64 -4 a)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (*.f64 (/.f64 c b) a)) |
(*.f64 (*.f64 -4 (/.f64 c b)) a) |
(*.f64 (/.f64 c b) (*.f64 -4 a)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (*.f64 (/.f64 c b) a)) |
(*.f64 (*.f64 -4 (/.f64 c b)) a) |
(*.f64 (/.f64 c b) (*.f64 -4 a)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (*.f64 (/.f64 c b) a)) |
(*.f64 (*.f64 -4 (/.f64 c b)) a) |
(*.f64 (/.f64 c b) (*.f64 -4 a)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (*.f64 (/.f64 c b) a)) |
(*.f64 (*.f64 -4 (/.f64 c b)) a) |
(*.f64 (/.f64 c b) (*.f64 -4 a)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (*.f64 (/.f64 c b) a)) |
(*.f64 (*.f64 -4 (/.f64 c b)) a) |
(*.f64 (/.f64 c b) (*.f64 -4 a)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (*.f64 (/.f64 c b) a)) |
(*.f64 (*.f64 -4 (/.f64 c b)) a) |
(*.f64 (/.f64 c b) (*.f64 -4 a)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (*.f64 (/.f64 c b) a)) |
(*.f64 (*.f64 -4 (/.f64 c b)) a) |
(*.f64 (/.f64 c b) (*.f64 -4 a)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (*.f64 (/.f64 c b) a)) |
(*.f64 (*.f64 -4 (/.f64 c b)) a) |
(*.f64 (/.f64 c b) (*.f64 -4 a)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (*.f64 (/.f64 c b) a)) |
(*.f64 (*.f64 -4 (/.f64 c b)) a) |
(*.f64 (/.f64 c b) (*.f64 -4 a)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (*.f64 (/.f64 c b) a)) |
(*.f64 (*.f64 -4 (/.f64 c b)) a) |
(*.f64 (/.f64 c b) (*.f64 -4 a)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (*.f64 (/.f64 c b) a)) |
(*.f64 (*.f64 -4 (/.f64 c b)) a) |
(*.f64 (/.f64 c b) (*.f64 -4 a)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (*.f64 (/.f64 c b) a)) |
(*.f64 (*.f64 -4 (/.f64 c b)) a) |
(*.f64 (/.f64 c b) (*.f64 -4 a)) |
(*.f64 -1 (/.f64 a b)) |
(neg.f64 (/.f64 a b)) |
(/.f64 (neg.f64 a) b) |
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 -1 (/.f64 (*.f64 c (pow.f64 a 2)) (pow.f64 b 3)))) |
(*.f64 -1 (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (pow.f64 b 3)))) |
(-.f64 (/.f64 (neg.f64 a) b) (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a)))) |
(neg.f64 (fma.f64 (/.f64 c (pow.f64 b 3)) (*.f64 a a) (/.f64 a b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 -1 (/.f64 (*.f64 c (pow.f64 a 2)) (pow.f64 b 3))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -1 (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (pow.f64 b 3))))) |
(-.f64 (-.f64 (/.f64 (neg.f64 a) b) (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a)))) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))) |
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 5) c)) (pow.f64 a 3) (fma.f64 (/.f64 c (pow.f64 b 3)) (*.f64 a a) (/.f64 a b)))) |
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 5)) (pow.f64 a 3) (fma.f64 (/.f64 c (pow.f64 b 3)) (*.f64 a a) (/.f64 a b)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 4)) (pow.f64 b 7))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 -1 (/.f64 (*.f64 c (pow.f64 a 2)) (pow.f64 b 3)))))) |
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 4)) (pow.f64 b 7)) (fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -1 (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (pow.f64 b 3)))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 a) b) (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a)))) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 7)) (pow.f64 a 4))) |
(-.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 b 3)) (*.f64 a a) (/.f64 a b))) (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 7)) (pow.f64 a 4) (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (*.f64 c c)))) |
(-.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 b 3)) (*.f64 a a) (/.f64 a b))) (*.f64 (*.f64 c c) (+.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (*.f64 (/.f64 c (pow.f64 b 7)) (pow.f64 a 4))))) |
(/.f64 b c) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 c 2) a)) (/.f64 b c)) |
(+.f64 (/.f64 b c) (/.f64 (pow.f64 b 3) (*.f64 a (*.f64 c c)))) |
(+.f64 (/.f64 b c) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 c a)))) |
(+.f64 (/.f64 b c) (/.f64 (/.f64 (pow.f64 b 3) (*.f64 c c)) a)) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 c 2) a)) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 2))) (/.f64 b c))) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 a (*.f64 c c))) (+.f64 (/.f64 b c) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 c 3))))) |
(+.f64 (/.f64 b c) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 c a))) (/.f64 (pow.f64 b 5) (*.f64 a (*.f64 a (pow.f64 c 3)))))) |
(+.f64 (/.f64 (pow.f64 b 5) (*.f64 a (*.f64 a (pow.f64 c 3)))) (+.f64 (/.f64 b c) (/.f64 (/.f64 (pow.f64 b 3) (*.f64 c c)) a))) |
(+.f64 (/.f64 (/.f64 (pow.f64 b 5) (pow.f64 c 3)) (*.f64 a a)) (+.f64 (/.f64 b c) (/.f64 (/.f64 (pow.f64 b 3) (*.f64 c c)) a))) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 c 2) a)) (+.f64 (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 4) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 2))) (/.f64 b c)))) |
(+.f64 (+.f64 (/.f64 (pow.f64 b 3) (*.f64 a (*.f64 c c))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 a 3) (pow.f64 c 4)))) (+.f64 (/.f64 b c) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 c 3))))) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 c a))) (+.f64 (+.f64 (/.f64 b c) (/.f64 (pow.f64 b 5) (*.f64 a (*.f64 a (pow.f64 c 3))))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 a 3) (pow.f64 c 4))))) |
(+.f64 (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 a 3) (pow.f64 c 4))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 a (*.f64 a (pow.f64 c 3)))) (+.f64 (/.f64 b c) (/.f64 (/.f64 (pow.f64 b 3) (*.f64 c c)) a)))) |
(+.f64 (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 a 3) (pow.f64 c 4))) (+.f64 (/.f64 (/.f64 (pow.f64 b 5) (pow.f64 c 3)) (*.f64 a a)) (+.f64 (/.f64 b c) (/.f64 (/.f64 (pow.f64 b 3) (*.f64 c c)) a)))) |
(/.f64 b c) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 c 2) a)) (/.f64 b c)) |
(+.f64 (/.f64 b c) (/.f64 (pow.f64 b 3) (*.f64 a (*.f64 c c)))) |
(+.f64 (/.f64 b c) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 c a)))) |
(+.f64 (/.f64 b c) (/.f64 (/.f64 (pow.f64 b 3) (*.f64 c c)) a)) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 c 2) a)) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 2))) (/.f64 b c))) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 a (*.f64 c c))) (+.f64 (/.f64 b c) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 c 3))))) |
(+.f64 (/.f64 b c) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 c a))) (/.f64 (pow.f64 b 5) (*.f64 a (*.f64 a (pow.f64 c 3)))))) |
(+.f64 (/.f64 (pow.f64 b 5) (*.f64 a (*.f64 a (pow.f64 c 3)))) (+.f64 (/.f64 b c) (/.f64 (/.f64 (pow.f64 b 3) (*.f64 c c)) a))) |
(+.f64 (/.f64 (/.f64 (pow.f64 b 5) (pow.f64 c 3)) (*.f64 a a)) (+.f64 (/.f64 b c) (/.f64 (/.f64 (pow.f64 b 3) (*.f64 c c)) a))) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 c 2) a)) (+.f64 (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 4) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 2))) (/.f64 b c)))) |
(+.f64 (+.f64 (/.f64 (pow.f64 b 3) (*.f64 a (*.f64 c c))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 a 3) (pow.f64 c 4)))) (+.f64 (/.f64 b c) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 c 3))))) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 c a))) (+.f64 (+.f64 (/.f64 b c) (/.f64 (pow.f64 b 5) (*.f64 a (*.f64 a (pow.f64 c 3))))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 a 3) (pow.f64 c 4))))) |
(+.f64 (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 a 3) (pow.f64 c 4))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 a (*.f64 a (pow.f64 c 3)))) (+.f64 (/.f64 b c) (/.f64 (/.f64 (pow.f64 b 3) (*.f64 c c)) a)))) |
(+.f64 (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 a 3) (pow.f64 c 4))) (+.f64 (/.f64 (/.f64 (pow.f64 b 5) (pow.f64 c 3)) (*.f64 a a)) (+.f64 (/.f64 b c) (/.f64 (/.f64 (pow.f64 b 3) (*.f64 c c)) a)))) |
(/.f64 b c) |
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(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
Compiled 12284 to 7964 computations (35.2% saved)
32 alts after pruning (27 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 559 | 14 | 573 |
| Fresh | 4 | 13 | 17 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 4 | 5 |
| Total | 564 | 32 | 596 |
| Status | Error | Program |
|---|---|---|
| ▶ | 55.8b | (exp.f64 (log.f64 (*.f64 b (/.f64 -1 a)))) |
| 39.5b | (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) | |
| 45.8b | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| 42.6b | (pow.f64 (*.f64 (/.f64 (/.f64 b c) (*.f64 -2 a)) (+.f64 a a)) -1) | |
| 51.8b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)))) 1) (*.f64 2 a)) | |
| 47.3b | (*.f64 (/.f64 1/2 (sqrt.f64 a)) (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b) (sqrt.f64 a))) | |
| 39.9b | (/.f64 1 (neg.f64 (/.f64 b c))) | |
| 39.8b | (/.f64 (neg.f64 c) b) | |
| 45.9b | (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) | |
| 55.2b | (/.f64 1 (/.f64 b c)) | |
| ✓ | 30.3b | (/.f64 1 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b)))) |
| 42.3b | (*.f64 (/.f64 -2 a) (/.f64 (/.f64 a (/.f64 b c)) 2)) | |
| ✓ | 45.7b | (neg.f64 (/.f64 b a)) |
| 44.4b | (/.f64 (*.f64 (/.f64 -2 (/.f64 b a)) c) (*.f64 2 a)) | |
| ✓ | 45.8b | (*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
| ▶ | 45.8b | (/.f64 1 (*.f64 a (/.f64 2 (*.f64 -2 b)))) |
| 42.3b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) | |
| ▶ | 55.3b | (/.f64 c b) |
| 46.7b | (/.f64 1 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)) b) b)))) | |
| 46.0b | (pow.f64 (cbrt.f64 (*.f64 b (/.f64 -1 a))) 3) | |
| ✓ | 46.0b | (/.f64 1 (/.f64 a (*.f64 (fma.f64 (*.f64 (/.f64 -4 (/.f64 b c)) a) -1/2 (*.f64 b -2)) 1/2))) |
| 59.6b | (pow.f64 (pow.f64 (*.f64 b (/.f64 -1 a)) 3) 1/3) | |
| ▶ | 30.8b | (/.f64 (*.f64 -2 c) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) |
| 45.8b | (/.f64 1 (/.f64 (neg.f64 a) b)) | |
| 42.4b | (*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (/.f64 1/2 a)) | |
| ✓ | 62.1b | (/.f64 b a) |
| 33.7b | (/.f64 (*.f64 (*.f64 -4 (*.f64 c a)) (/.f64 1/2 a)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) | |
| 44.3b | (/.f64 (/.f64 -2 (/.f64 (/.f64 1 c) (/.f64 a b))) (*.f64 2 a)) | |
| 32.3b | (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b))) b) (/.f64 1/2 a)) | |
| ▶ | 42.6b | (/.f64 1 (*.f64 a (/.f64 2 (*.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b)))))) |
| 43.3b | (*.f64 (/.f64 (/.f64 -2 b) 2) (/.f64 (*.f64 c a) a)) | |
| 46.0b | (/.f64 (/.f64 (*.f64 b -1) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a)) |
Compiled 825 to 603 computations (26.9% saved)
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 11.2b | (sqrt.f64 (*.f64 a (*.f64 c -4))) | |
| 0.6b | (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) | |
| 0.1b | (/.f64 (*.f64 -2 c) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) | |
| ✓ | 0.1b | (/.f64 (*.f64 -2 c) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) |
| 0.6b | (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) | |
| 11.2b | (sqrt.f64 (*.f64 a (*.f64 c -4))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | c | @ | -inf | (/.f64 (*.f64 -2 c) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) |
| 16.0ms | c | @ | inf | (/.f64 (*.f64 -2 c) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) |
| 9.0ms | a | @ | inf | (/.f64 (*.f64 -2 c) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) |
| 4.0ms | a | @ | -inf | (/.f64 (*.f64 -2 c) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) |
| 2.0ms | c | @ | 0 | (/.f64 (*.f64 -2 c) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) |
| 1× | batch-egg-rewrite |
| 722× | log-prod_binary64 |
| 689× | prod-diff_binary64 |
| 249× | expm1-udef_binary64 |
| 249× | log1p-udef_binary64 |
| 235× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 21 |
| 1 | 282 | 21 |
| 2 | 3746 | 21 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 -2 c) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2 (/.f64 c (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 -2 (/.f64 c (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))) (cbrt.f64 (exp.f64 (*.f64 -2 (/.f64 c (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 -2 (/.f64 c (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 -2 (/.f64 c (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 -2 (/.f64 c (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2 (/.f64 c (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 c (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 c (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (*.f64 -2 (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 c) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (/.f64 c (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2 (/.f64 c (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2 (/.f64 c (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))) (pow.f64 (cbrt.f64 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c a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) 2)) (/.f64 -2 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) 2)) (/.f64 (*.f64 -2 c) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 4 (*.f64 c c))) (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) 2)) (cbrt.f64 (*.f64 -2 (/.f64 c (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 -2 c)) (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) 2)) (/.f64 (sqrt.f64 (*.f64 -2 c)) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))) (/.f64 c (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))) (/.f64 -2 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))) (/.f64 (*.f64 -2 c) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 4 (*.f64 c c))) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))) (/.f64 (cbrt.f64 (*.f64 -2 c)) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -2 c) (+.f64 (pow.f64 b 3) (pow.f64 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(*.f64 -2 (/.f64 c (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (/.f64 c (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2 (/.f64 c (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 c (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))))))) |
| 1× | egg-herbie |
| 594× | times-frac_binary64 |
| 490× | fma-def_binary64 |
| 409× | associate-/l*_binary64 |
| 401× | *-commutative_binary64 |
| 390× | associate-/r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 710 |
| 1 | 373 | 529 |
| 2 | 1531 | 486 |
| 3 | 5987 | 467 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 c b)) |
(*.f64 -2 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) |
(+.f64 (*.f64 2 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -2 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))) |
(+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))) (+.f64 (*.f64 2 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -2 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (*.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 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4))))) (pow.f64 b 3))) (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))) (+.f64 (*.f64 2 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -2 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))))) |
(*.f64 -1 (/.f64 c b)) |
(+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3)))) |
(+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))))) |
(+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/128 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (*.f64 1/32 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))) |
(*.f64 4 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) |
(+.f64 (*.f64 4 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (/.f64 c b)) |
(+.f64 (*.f64 4 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (/.f64 c b) (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))))) |
(+.f64 (*.f64 4 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (/.f64 c b) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (*.f64 1/4 (*.f64 c (*.f64 a (*.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))))))))) (pow.f64 b 5))) (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3)))))) |
(*.f64 -1 (/.f64 c b)) |
| Outputs |
|---|
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -2 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) |
(*.f64 -2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 2 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -2 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))) |
(fma.f64 2 (/.f64 (/.f64 b a) (pow.f64 (sqrt.f64 -4) 2)) (*.f64 -2 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))) |
(fma.f64 -2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))) |
(+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))) (+.f64 (*.f64 2 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -2 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))) |
(fma.f64 2 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2) (*.f64 b b)) (fma.f64 2 (/.f64 (/.f64 b a) (pow.f64 (sqrt.f64 -4) 2)) (*.f64 -2 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))) |
(fma.f64 2 (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 -1/4 (sqrt.f64 -4))) (*.f64 -1/2 (*.f64 b b))) (fma.f64 -2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))) |
(fma.f64 2 (*.f64 b (*.f64 b (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1/8 (sqrt.f64 -4))))) (fma.f64 -2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))) |
(+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (*.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 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4))))) (pow.f64 b 3))) (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))) (+.f64 (*.f64 2 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -2 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))))) |
(fma.f64 -2 (*.f64 (-.f64 (/.f64 1/2 (*.f64 (*.f64 c (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 4))) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2)) (sqrt.f64 -4)))) (pow.f64 b 3)) (fma.f64 2 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2) (*.f64 b b)) (fma.f64 2 (/.f64 (/.f64 b a) (pow.f64 (sqrt.f64 -4) 2)) (*.f64 -2 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))))) |
(fma.f64 (*.f64 -2 (+.f64 (/.f64 1/2 (*.f64 16 (*.f64 c (*.f64 a a)))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 -1/4 (sqrt.f64 -4))) (/.f64 (sqrt.f64 -4) -1/2))))) (pow.f64 b 3) (fma.f64 2 (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 -1/4 (sqrt.f64 -4))) (*.f64 -1/2 (*.f64 b b))) (fma.f64 -2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))))) |
(fma.f64 2 (fma.f64 b (*.f64 b (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1/8 (sqrt.f64 -4)))) (/.f64 b (*.f64 a -4))) (*.f64 -2 (+.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) -1/2) 16) (/.f64 1/32 (*.f64 c (*.f64 a a)))) (pow.f64 b 3))))) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3)))) |
(fma.f64 -1 (/.f64 c b) (/.f64 (*.f64 1/4 (*.f64 (*.f64 a (pow.f64 (sqrt.f64 -4) 2)) (*.f64 c c))) (pow.f64 b 3))) |
(-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 c c)) -1) (pow.f64 b 3)) (/.f64 c b)) |
(-.f64 (/.f64 (*.f64 -1 (*.f64 c (*.f64 c a))) (pow.f64 b 3)) (/.f64 c b)) |
(-.f64 (/.f64 (neg.f64 (*.f64 c (*.f64 c a))) (pow.f64 b 3)) (/.f64 c b)) |
(+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))))) |
(fma.f64 -1 (/.f64 c b) (fma.f64 1/4 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a))))))) |
(-.f64 (fma.f64 -1/8 (/.f64 (*.f64 16 (*.f64 a a)) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) -1) (pow.f64 b 3))) (/.f64 c b)) |
(-.f64 (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 a (*.f64 a (pow.f64 c 3))) (pow.f64 b 5)) 16) (/.f64 (*.f64 -1 (*.f64 c (*.f64 c a))) (pow.f64 b 3))) (/.f64 c b)) |
(-.f64 (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 a (*.f64 a (pow.f64 c 3))) (pow.f64 b 5)) 16) (/.f64 (neg.f64 (*.f64 c (*.f64 c a))) (pow.f64 b 3))) (/.f64 c b)) |
(+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/128 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (*.f64 1/32 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))) |
(fma.f64 2 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -4) 6)) 5/128) (pow.f64 b 7)) (fma.f64 -1 (/.f64 c b) (fma.f64 1/4 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)))))))) |
(fma.f64 2 (/.f64 (*.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) -5/2) (pow.f64 b 7)) (-.f64 (fma.f64 -1/8 (/.f64 (*.f64 16 (*.f64 a a)) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) -1) (pow.f64 b 3))) (/.f64 c b))) |
(-.f64 (fma.f64 2 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (/.f64 (pow.f64 b 7) -5/2)) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 a (*.f64 a (pow.f64 c 3))) (pow.f64 b 5)) 16) (/.f64 (*.f64 -1 (*.f64 c (*.f64 c a))) (pow.f64 b 3)))) (/.f64 c b)) |
(-.f64 (fma.f64 2 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (/.f64 (pow.f64 b 7) -5/2)) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 a (*.f64 a (pow.f64 c 3))) (pow.f64 b 5)) 16) (/.f64 (neg.f64 (*.f64 c (*.f64 c a))) (pow.f64 b 3)))) (/.f64 c b)) |
(*.f64 4 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) |
(*.f64 (/.f64 (/.f64 b a) (pow.f64 (sqrt.f64 -4) 2)) 4) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(+.f64 (*.f64 4 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (/.f64 c b)) |
(fma.f64 4 (/.f64 (/.f64 b a) (pow.f64 (sqrt.f64 -4) 2)) (/.f64 c b)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(fma.f64 -1 (/.f64 b a) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (*.f64 4 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (/.f64 c b) (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))))) |
(+.f64 (fma.f64 4 (/.f64 (/.f64 b a) (pow.f64 (sqrt.f64 -4) 2)) (/.f64 c b)) (/.f64 (*.f64 -2 (*.f64 (*.f64 (*.f64 a (pow.f64 (sqrt.f64 -4) 2)) (*.f64 c c)) 1/8)) (pow.f64 b 3))) |
(+.f64 (*.f64 -1 (/.f64 b a)) (fma.f64 -2 (/.f64 (*.f64 (*.f64 a (*.f64 c c)) -1/2) (pow.f64 b 3)) (/.f64 c b))) |
(fma.f64 -1 (/.f64 b a) (fma.f64 -2 (/.f64 (*.f64 -1/2 (*.f64 c (*.f64 c a))) (pow.f64 b 3)) (/.f64 c b))) |
(-.f64 (fma.f64 -2 (/.f64 (*.f64 -1/2 (*.f64 c (*.f64 c a))) (pow.f64 b 3)) (/.f64 c b)) (/.f64 b a)) |
(+.f64 (*.f64 4 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (/.f64 c b) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (*.f64 1/4 (*.f64 c (*.f64 a (*.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))))))))) (pow.f64 b 5))) (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3)))))) |
(+.f64 (fma.f64 4 (/.f64 (/.f64 b a) (pow.f64 (sqrt.f64 -4) 2)) (/.f64 c b)) (*.f64 -2 (+.f64 (/.f64 (fma.f64 1/16 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)) (pow.f64 c 3)) (fma.f64 -2 (/.f64 (fma.f64 1/16 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (sqrt.f64 -4) 8)) (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)) (*.f64 c c))) 2)) (*.f64 (*.f64 c (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 4))) (*.f64 1/4 (*.f64 (*.f64 c a) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 (*.f64 (*.f64 a (pow.f64 (sqrt.f64 -4) 2)) (*.f64 c c)) 1/8)))))) (pow.f64 b 5)) (/.f64 (*.f64 (*.f64 (*.f64 a (pow.f64 (sqrt.f64 -4) 2)) (*.f64 c c)) 1/8) (pow.f64 b 3))))) |
(+.f64 (*.f64 -1 (/.f64 b a)) (fma.f64 -2 (+.f64 (/.f64 (*.f64 (*.f64 a (*.f64 c c)) -1/2) (pow.f64 b 3)) (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) 1) (fma.f64 -2 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) 2)) (*.f64 16 (*.f64 c (*.f64 a a)))) (*.f64 c (*.f64 (*.f64 a (*.f64 -4 (*.f64 (*.f64 a (*.f64 c c)) -1/2))) 1/4)))) (pow.f64 b 5))) (/.f64 c b))) |
(fma.f64 -1 (/.f64 b a) (fma.f64 -2 (+.f64 (/.f64 (*.f64 -1/2 (*.f64 c (*.f64 c a))) (pow.f64 b 3)) (/.f64 (fma.f64 c (*.f64 1/4 (*.f64 (*.f64 a -4) (*.f64 -1/2 (*.f64 c (*.f64 c a))))) (fma.f64 (/.f64 -1/8 (*.f64 a a)) (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 (pow.f64 c 4) 1/16) (*.f64 (pow.f64 c 4) 1/64))) c) (*.f64 a (*.f64 a (pow.f64 c 3))))) (pow.f64 b 5))) (/.f64 c b))) |
(-.f64 (fma.f64 -2 (+.f64 (/.f64 (*.f64 -1/2 (*.f64 c (*.f64 c a))) (pow.f64 b 3)) (/.f64 (fma.f64 (/.f64 -1/8 (*.f64 a a)) (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) c) (*.f64 a (+.f64 (*.f64 a (pow.f64 c 3)) (*.f64 (*.f64 -4 (*.f64 -1/2 (*.f64 c (*.f64 c a)))) (*.f64 c 1/4))))) (pow.f64 b 5))) (/.f64 c b)) (/.f64 b a)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 a (/.f64 2 (*.f64 -2 b))) | |
| 0.2b | (/.f64 1 (*.f64 a (/.f64 2 (*.f64 -2 b)))) | |
| ✓ | 0.2b | (/.f64 1 (*.f64 a (/.f64 2 (*.f64 -2 b)))) |
| ✓ | 0.2b | (*.f64 a (/.f64 2 (*.f64 -2 b))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | 0 | (*.f64 a (/.f64 2 (*.f64 -2 b))) |
| 1.0ms | b | @ | 0 | (*.f64 a (/.f64 2 (*.f64 -2 b))) |
| 0.0ms | a | @ | inf | (*.f64 a (/.f64 2 (*.f64 -2 b))) |
| 0.0ms | b | @ | inf | (*.f64 a (/.f64 2 (*.f64 -2 b))) |
| 0.0ms | a | @ | -inf | (*.f64 a (/.f64 2 (*.f64 -2 b))) |
| 1× | batch-egg-rewrite |
| 951× | pow1_binary64 |
| 880× | add-log-exp_binary64 |
| 879× | log1p-expm1-u_binary64 |
| 879× | expm1-log1p-u_binary64 |
| 100× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 17 |
| 1 | 210 | 14 |
| 2 | 2494 | 14 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 a (/.f64 2 (*.f64 -2 b))) |
(/.f64 1 (*.f64 a (/.f64 2 (*.f64 -2 b)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (/.f64 -1 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 b -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 b) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (/.f64 -1 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 b -1) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 -2 b) (*.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 a (/.f64 -1 b))) 2) (cbrt.f64 (/.f64 (/.f64 b -1) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 a (/.f64 -1 b))) (sqrt.f64 (/.f64 (/.f64 b -1) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (neg.f64 (/.f64 -1 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a 2) (*.f64 -2 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a 2)) (*.f64 2 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a 2) -2) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a 2) b) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a 2) 1) (*.f64 -2 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a 2) (cbrt.f64 (*.f64 (*.f64 b b) 4))) (cbrt.f64 (*.f64 -2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a 2) (sqrt.f64 (*.f64 -2 b))) (sqrt.f64 (*.f64 -2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 a) (*.f64 2 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 a) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a -2) (*.f64 2 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a -1) b)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (/.f64 -1 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (/.f64 -1 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (/.f64 -1 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (/.f64 -1 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (/.f64 -1 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (/.f64 -1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (/.f64 -1 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (/.f64 -1 b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 b) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (/.f64 -1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (/.f64 -1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (/.f64 -1 b)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 b -1) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 b -1) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 b -1) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 b -1) a)) (cbrt.f64 (pow.f64 (*.f64 a (/.f64 -1 b)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 a (/.f64 -1 b)) -2)) (cbrt.f64 (/.f64 (/.f64 b -1) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 b -1) a)) (sqrt.f64 (/.f64 (/.f64 b -1) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 a (neg.f64 (/.f64 -1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 b -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (pow.f64 (/.f64 -1 b) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 b) -1) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a (/.f64 -1 b))) 2) -1) (pow.f64 (cbrt.f64 (*.f64 a (/.f64 -1 b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 a (/.f64 -1 b))) -1) (pow.f64 (sqrt.f64 (*.f64 a (/.f64 -1 b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 a 2)) (*.f64 -2 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 a) 2) (*.f64 -2 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 a) -2) (*.f64 2 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 a) 1) (/.f64 b -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 a) -1) b)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (/.f64 -1 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 b -1) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 b -1) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 b -1) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 b -1) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (/.f64 -1 b)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 b -1) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 b -1) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 b -1) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 b -1) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 b -1) a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 b -1) a))))))) |
| 1× | egg-herbie |
| 28× | fma-def_binary64 |
| 18× | sub-neg_binary64 |
| 10× | +-commutative_binary64 |
| 8× | div-sub_binary64 |
| 8× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 288 |
| 1 | 16 | 288 |
| 2 | 27 | 288 |
| 3 | 39 | 288 |
| 4 | 50 | 288 |
| 5 | 66 | 288 |
| 6 | 81 | 288 |
| 7 | 98 | 288 |
| 8 | 117 | 288 |
| 9 | 147 | 288 |
| 10 | 149 | 288 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1 (/.f64 a b)) |
(*.f64 -1 (/.f64 a b)) |
(*.f64 -1 (/.f64 a b)) |
(*.f64 -1 (/.f64 a b)) |
(*.f64 -1 (/.f64 a b)) |
(*.f64 -1 (/.f64 a b)) |
(*.f64 -1 (/.f64 a b)) |
(*.f64 -1 (/.f64 a b)) |
(*.f64 -1 (/.f64 a b)) |
(*.f64 -1 (/.f64 a b)) |
(*.f64 -1 (/.f64 a b)) |
(*.f64 -1 (/.f64 a b)) |
(*.f64 -1 (/.f64 a b)) |
(*.f64 -1 (/.f64 a b)) |
(*.f64 -1 (/.f64 a b)) |
(*.f64 -1 (/.f64 a b)) |
(*.f64 -1 (/.f64 a b)) |
(*.f64 -1 (/.f64 a b)) |
(*.f64 -1 (/.f64 a b)) |
(*.f64 -1 (/.f64 a b)) |
(*.f64 -1 (/.f64 a b)) |
(*.f64 -1 (/.f64 a b)) |
(*.f64 -1 (/.f64 a b)) |
(*.f64 -1 (/.f64 a b)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
| Outputs |
|---|
(*.f64 -1 (/.f64 a b)) |
(neg.f64 (/.f64 a b)) |
(/.f64 (neg.f64 a) b) |
(*.f64 -1 (/.f64 a b)) |
(neg.f64 (/.f64 a b)) |
(/.f64 (neg.f64 a) b) |
(*.f64 -1 (/.f64 a b)) |
(neg.f64 (/.f64 a b)) |
(/.f64 (neg.f64 a) b) |
(*.f64 -1 (/.f64 a b)) |
(neg.f64 (/.f64 a b)) |
(/.f64 (neg.f64 a) b) |
(*.f64 -1 (/.f64 a b)) |
(neg.f64 (/.f64 a b)) |
(/.f64 (neg.f64 a) b) |
(*.f64 -1 (/.f64 a b)) |
(neg.f64 (/.f64 a b)) |
(/.f64 (neg.f64 a) b) |
(*.f64 -1 (/.f64 a b)) |
(neg.f64 (/.f64 a b)) |
(/.f64 (neg.f64 a) b) |
(*.f64 -1 (/.f64 a b)) |
(neg.f64 (/.f64 a b)) |
(/.f64 (neg.f64 a) b) |
(*.f64 -1 (/.f64 a b)) |
(neg.f64 (/.f64 a b)) |
(/.f64 (neg.f64 a) b) |
(*.f64 -1 (/.f64 a b)) |
(neg.f64 (/.f64 a b)) |
(/.f64 (neg.f64 a) b) |
(*.f64 -1 (/.f64 a b)) |
(neg.f64 (/.f64 a b)) |
(/.f64 (neg.f64 a) b) |
(*.f64 -1 (/.f64 a b)) |
(neg.f64 (/.f64 a b)) |
(/.f64 (neg.f64 a) b) |
(*.f64 -1 (/.f64 a b)) |
(neg.f64 (/.f64 a b)) |
(/.f64 (neg.f64 a) b) |
(*.f64 -1 (/.f64 a b)) |
(neg.f64 (/.f64 a b)) |
(/.f64 (neg.f64 a) b) |
(*.f64 -1 (/.f64 a b)) |
(neg.f64 (/.f64 a b)) |
(/.f64 (neg.f64 a) b) |
(*.f64 -1 (/.f64 a b)) |
(neg.f64 (/.f64 a b)) |
(/.f64 (neg.f64 a) b) |
(*.f64 -1 (/.f64 a b)) |
(neg.f64 (/.f64 a b)) |
(/.f64 (neg.f64 a) b) |
(*.f64 -1 (/.f64 a b)) |
(neg.f64 (/.f64 a b)) |
(/.f64 (neg.f64 a) b) |
(*.f64 -1 (/.f64 a b)) |
(neg.f64 (/.f64 a b)) |
(/.f64 (neg.f64 a) b) |
(*.f64 -1 (/.f64 a b)) |
(neg.f64 (/.f64 a b)) |
(/.f64 (neg.f64 a) b) |
(*.f64 -1 (/.f64 a b)) |
(neg.f64 (/.f64 a b)) |
(/.f64 (neg.f64 a) b) |
(*.f64 -1 (/.f64 a b)) |
(neg.f64 (/.f64 a b)) |
(/.f64 (neg.f64 a) b) |
(*.f64 -1 (/.f64 a b)) |
(neg.f64 (/.f64 a b)) |
(/.f64 (neg.f64 a) b) |
(*.f64 -1 (/.f64 a b)) |
(neg.f64 (/.f64 a b)) |
(/.f64 (neg.f64 a) b) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 5.5b | (*.f64 (*.f64 a -4) (/.f64 c b)) | |
| 0.6b | (/.f64 1 (*.f64 a (/.f64 2 (*.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b)))))) | |
| 0.3b | (/.f64 2 (*.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b)))) | |
| 0.0b | (*.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b))) | |
| ✓ | 0.3b | (/.f64 2 (*.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b)))) |
| ✓ | 0.6b | (/.f64 1 (*.f64 a (/.f64 2 (*.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b)))))) |
| ✓ | 5.5b | (*.f64 (*.f64 a -4) (/.f64 c b)) |
| ✓ | 7.1b | (*.f64 a (/.f64 2 (*.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b))))) |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 55.0ms | c | @ | -inf | (*.f64 (*.f64 a -4) (/.f64 c b)) |
| 1.0ms | a | @ | 0 | (*.f64 a (/.f64 2 (*.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b))))) |
| 1.0ms | b | @ | 0 | (*.f64 a (/.f64 2 (*.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b))))) |
| 1.0ms | c | @ | 0 | (*.f64 a (/.f64 2 (*.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b))))) |
| 1.0ms | b | @ | inf | (*.f64 a (/.f64 2 (*.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b))))) |
| 1× | batch-egg-rewrite |
| 808× | log-prod_binary64 |
| 394× | pow2_binary64 |
| 278× | pow1/3_binary64 |
| 275× | expm1-udef_binary64 |
| 275× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 58 |
| 1 | 324 | 55 |
| 2 | 4107 | 55 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 a (/.f64 2 (*.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b))))) |
(*.f64 (*.f64 a -4) (/.f64 c b)) |
(/.f64 1 (*.f64 a (/.f64 2 (*.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b)))))) |
(/.f64 2 (*.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b)))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) 1/2) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) 1/2) a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) 1/2) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) 1/2) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) 1/2) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) 1/2) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) 1/2) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) 1/2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) 1/2) a)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) 1/2) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) 1/2) a)) 2) (cbrt.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) 1/2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) 1/2) a)) (sqrt.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) 1/2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 (*.f64 a 2)) (*.f64 (/.f64 c b) (*.f64 -2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) 1/2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (*.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a (*.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) 1/2))) 2)) (cbrt.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) 1/2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 a 2)) (*.f64 (/.f64 c b) (*.f64 -2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 a) 2) (*.f64 (/.f64 c b) (*.f64 -2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 a) 1) (*.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 a) 4) (*.f64 -4 (*.f64 a (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 a) -2) (*.f64 (*.f64 -2 a) (neg.f64 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) 1/2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) 1/2) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) 1/2) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) 1/2) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (/.f64 (neg.f64 (*.f64 a 2)) (*.f64 (/.f64 c b) (*.f64 -2 a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 a (*.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) 1/2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) 1/2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) 1/2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) 1/2) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) 1/2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) 1/2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) 1/2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) 1/2) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) 1/2) a))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 4 (*.f64 a (*.f64 -4 c))) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 4 (*.f64 a (*.f64 -4 c))) b))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 4 (*.f64 a (*.f64 -4 c))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 4 (*.f64 a (*.f64 -4 c))) b)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 4 (*.f64 a (*.f64 -4 c))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (*.f64 a (*.f64 -4 c))) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 2 (*.f64 -4 (*.f64 a (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 4 (*.f64 a (*.f64 -4 c))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 4 (*.f64 a (*.f64 -4 c))) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1 (*.f64 -4 (*.f64 a (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 4 (*.f64 a (*.f64 -4 c))) b)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (*.f64 a (*.f64 -4 c))) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (*.f64 a (*.f64 -4 c))) b)) 2) (cbrt.f64 (*.f64 (/.f64 4 (*.f64 a (*.f64 -4 c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 4 (*.f64 a (*.f64 -4 c))) b)) (sqrt.f64 (*.f64 (/.f64 4 (*.f64 a (*.f64 -4 c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (*.f64 (*.f64 -2 a) (neg.f64 (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 -4 (*.f64 a (/.f64 c b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (*.f64 a (*.f64 -4 c))) b)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 4 (*.f64 a (*.f64 -4 c))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 4 (*.f64 a (*.f64 -4 c))) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (*.f64 a (*.f64 -4 c))) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (*.f64 a (*.f64 -4 c))) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) 1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 4 (*.f64 a (*.f64 -4 c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 4 (*.f64 a (*.f64 -4 c))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (*.f64 a (*.f64 -4 c))) b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (*.f64 a (*.f64 -4 c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 4 (*.f64 a (*.f64 -4 c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 (*.f64 a (*.f64 -4 c))) b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (*.f64 a (*.f64 -4 c))) b))))))) |
| 1× | egg-herbie |
| 166× | fma-def_binary64 |
| 48× | fma-neg_binary64 |
| 35× | sub-neg_binary64 |
| 31× | div-sub_binary64 |
| 28× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 1116 |
| 1 | 33 | 1116 |
| 2 | 67 | 1116 |
| 3 | 128 | 1116 |
| 4 | 188 | 1116 |
| 5 | 233 | 1116 |
| 6 | 254 | 1116 |
| 7 | 302 | 1116 |
| 8 | 446 | 1116 |
| 9 | 617 | 1116 |
| 10 | 621 | 1116 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 c (/.f64 b a))) |
(/.f64 -4 (/.f64 (/.f64 b a) c)) |
(*.f64 (/.f64 -4 b) (*.f64 c a)) |
(*.f64 c (/.f64 -4 (/.f64 b a))) |
(*.f64 c (*.f64 -4 (/.f64 a b))) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 c (/.f64 b a))) |
(/.f64 -4 (/.f64 (/.f64 b a) c)) |
(*.f64 (/.f64 -4 b) (*.f64 c a)) |
(*.f64 c (/.f64 -4 (/.f64 b a))) |
(*.f64 c (*.f64 -4 (/.f64 a b))) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 c (/.f64 b a))) |
(/.f64 -4 (/.f64 (/.f64 b a) c)) |
(*.f64 (/.f64 -4 b) (*.f64 c a)) |
(*.f64 c (/.f64 -4 (/.f64 b a))) |
(*.f64 c (*.f64 -4 (/.f64 a b))) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 c (/.f64 b a))) |
(/.f64 -4 (/.f64 (/.f64 b a) c)) |
(*.f64 (/.f64 -4 b) (*.f64 c a)) |
(*.f64 c (/.f64 -4 (/.f64 b a))) |
(*.f64 c (*.f64 -4 (/.f64 a b))) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 c (/.f64 b a))) |
(/.f64 -4 (/.f64 (/.f64 b a) c)) |
(*.f64 (/.f64 -4 b) (*.f64 c a)) |
(*.f64 c (/.f64 -4 (/.f64 b a))) |
(*.f64 c (*.f64 -4 (/.f64 a b))) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 c (/.f64 b a))) |
(/.f64 -4 (/.f64 (/.f64 b a) c)) |
(*.f64 (/.f64 -4 b) (*.f64 c a)) |
(*.f64 c (/.f64 -4 (/.f64 b a))) |
(*.f64 c (*.f64 -4 (/.f64 a b))) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 c (/.f64 b a))) |
(/.f64 -4 (/.f64 (/.f64 b a) c)) |
(*.f64 (/.f64 -4 b) (*.f64 c a)) |
(*.f64 c (/.f64 -4 (/.f64 b a))) |
(*.f64 c (*.f64 -4 (/.f64 a b))) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 c (/.f64 b a))) |
(/.f64 -4 (/.f64 (/.f64 b a) c)) |
(*.f64 (/.f64 -4 b) (*.f64 c a)) |
(*.f64 c (/.f64 -4 (/.f64 b a))) |
(*.f64 c (*.f64 -4 (/.f64 a b))) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 c (/.f64 b a))) |
(/.f64 -4 (/.f64 (/.f64 b a) c)) |
(*.f64 (/.f64 -4 b) (*.f64 c a)) |
(*.f64 c (/.f64 -4 (/.f64 b a))) |
(*.f64 c (*.f64 -4 (/.f64 a b))) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 c (/.f64 b a))) |
(/.f64 -4 (/.f64 (/.f64 b a) c)) |
(*.f64 (/.f64 -4 b) (*.f64 c a)) |
(*.f64 c (/.f64 -4 (/.f64 b a))) |
(*.f64 c (*.f64 -4 (/.f64 a b))) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 c (/.f64 b a))) |
(/.f64 -4 (/.f64 (/.f64 b a) c)) |
(*.f64 (/.f64 -4 b) (*.f64 c a)) |
(*.f64 c (/.f64 -4 (/.f64 b a))) |
(*.f64 c (*.f64 -4 (/.f64 a b))) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 c (/.f64 b a))) |
(/.f64 -4 (/.f64 (/.f64 b a) c)) |
(*.f64 (/.f64 -4 b) (*.f64 c a)) |
(*.f64 c (/.f64 -4 (/.f64 b a))) |
(*.f64 c (*.f64 -4 (/.f64 a b))) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 c (/.f64 b a))) |
(/.f64 -4 (/.f64 (/.f64 b a) c)) |
(*.f64 (/.f64 -4 b) (*.f64 c a)) |
(*.f64 c (/.f64 -4 (/.f64 b a))) |
(*.f64 c (*.f64 -4 (/.f64 a b))) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 c (/.f64 b a))) |
(/.f64 -4 (/.f64 (/.f64 b a) c)) |
(*.f64 (/.f64 -4 b) (*.f64 c a)) |
(*.f64 c (/.f64 -4 (/.f64 b a))) |
(*.f64 c (*.f64 -4 (/.f64 a b))) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 c (/.f64 b a))) |
(/.f64 -4 (/.f64 (/.f64 b a) c)) |
(*.f64 (/.f64 -4 b) (*.f64 c a)) |
(*.f64 c (/.f64 -4 (/.f64 b a))) |
(*.f64 c (*.f64 -4 (/.f64 a b))) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 c (/.f64 b a))) |
(/.f64 -4 (/.f64 (/.f64 b a) c)) |
(*.f64 (/.f64 -4 b) (*.f64 c a)) |
(*.f64 c (/.f64 -4 (/.f64 b a))) |
(*.f64 c (*.f64 -4 (/.f64 a b))) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 c (/.f64 b a))) |
(/.f64 -4 (/.f64 (/.f64 b a) c)) |
(*.f64 (/.f64 -4 b) (*.f64 c a)) |
(*.f64 c (/.f64 -4 (/.f64 b a))) |
(*.f64 c (*.f64 -4 (/.f64 a b))) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 c (/.f64 b a))) |
(/.f64 -4 (/.f64 (/.f64 b a) c)) |
(*.f64 (/.f64 -4 b) (*.f64 c a)) |
(*.f64 c (/.f64 -4 (/.f64 b a))) |
(*.f64 c (*.f64 -4 (/.f64 a b))) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 c (/.f64 b a))) |
(/.f64 -4 (/.f64 (/.f64 b a) c)) |
(*.f64 (/.f64 -4 b) (*.f64 c a)) |
(*.f64 c (/.f64 -4 (/.f64 b a))) |
(*.f64 c (*.f64 -4 (/.f64 a b))) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 c (/.f64 b a))) |
(/.f64 -4 (/.f64 (/.f64 b a) c)) |
(*.f64 (/.f64 -4 b) (*.f64 c a)) |
(*.f64 c (/.f64 -4 (/.f64 b a))) |
(*.f64 c (*.f64 -4 (/.f64 a b))) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 c (/.f64 b a))) |
(/.f64 -4 (/.f64 (/.f64 b a) c)) |
(*.f64 (/.f64 -4 b) (*.f64 c a)) |
(*.f64 c (/.f64 -4 (/.f64 b a))) |
(*.f64 c (*.f64 -4 (/.f64 a b))) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 c (/.f64 b a))) |
(/.f64 -4 (/.f64 (/.f64 b a) c)) |
(*.f64 (/.f64 -4 b) (*.f64 c a)) |
(*.f64 c (/.f64 -4 (/.f64 b a))) |
(*.f64 c (*.f64 -4 (/.f64 a b))) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 c (/.f64 b a))) |
(/.f64 -4 (/.f64 (/.f64 b a) c)) |
(*.f64 (/.f64 -4 b) (*.f64 c a)) |
(*.f64 c (/.f64 -4 (/.f64 b a))) |
(*.f64 c (*.f64 -4 (/.f64 a b))) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 c (/.f64 b a))) |
(/.f64 -4 (/.f64 (/.f64 b a) c)) |
(*.f64 (/.f64 -4 b) (*.f64 c a)) |
(*.f64 c (/.f64 -4 (/.f64 b a))) |
(*.f64 c (*.f64 -4 (/.f64 a b))) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 c (/.f64 b a))) |
(/.f64 -4 (/.f64 (/.f64 b a) c)) |
(*.f64 (/.f64 -4 b) (*.f64 c a)) |
(*.f64 c (/.f64 -4 (/.f64 b a))) |
(*.f64 c (*.f64 -4 (/.f64 a b))) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 c (/.f64 b a))) |
(/.f64 -4 (/.f64 (/.f64 b a) c)) |
(*.f64 (/.f64 -4 b) (*.f64 c a)) |
(*.f64 c (/.f64 -4 (/.f64 b a))) |
(*.f64 c (*.f64 -4 (/.f64 a b))) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 c (/.f64 b a))) |
(/.f64 -4 (/.f64 (/.f64 b a) c)) |
(*.f64 (/.f64 -4 b) (*.f64 c a)) |
(*.f64 c (/.f64 -4 (/.f64 b a))) |
(*.f64 c (*.f64 -4 (/.f64 a b))) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 c (/.f64 b a))) |
(/.f64 -4 (/.f64 (/.f64 b a) c)) |
(*.f64 (/.f64 -4 b) (*.f64 c a)) |
(*.f64 c (/.f64 -4 (/.f64 b a))) |
(*.f64 c (*.f64 -4 (/.f64 a b))) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 c (/.f64 b a))) |
(/.f64 -4 (/.f64 (/.f64 b a) c)) |
(*.f64 (/.f64 -4 b) (*.f64 c a)) |
(*.f64 c (/.f64 -4 (/.f64 b a))) |
(*.f64 c (*.f64 -4 (/.f64 a b))) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 c (/.f64 b a))) |
(/.f64 -4 (/.f64 (/.f64 b a) c)) |
(*.f64 (/.f64 -4 b) (*.f64 c a)) |
(*.f64 c (/.f64 -4 (/.f64 b a))) |
(*.f64 c (*.f64 -4 (/.f64 a b))) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 c (/.f64 b a))) |
(/.f64 -4 (/.f64 (/.f64 b a) c)) |
(*.f64 (/.f64 -4 b) (*.f64 c a)) |
(*.f64 c (/.f64 -4 (/.f64 b a))) |
(*.f64 c (*.f64 -4 (/.f64 a b))) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 c (/.f64 b a))) |
(/.f64 -4 (/.f64 (/.f64 b a) c)) |
(*.f64 (/.f64 -4 b) (*.f64 c a)) |
(*.f64 c (/.f64 -4 (/.f64 b a))) |
(*.f64 c (*.f64 -4 (/.f64 a b))) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 c (/.f64 b a))) |
(/.f64 -4 (/.f64 (/.f64 b a) c)) |
(*.f64 (/.f64 -4 b) (*.f64 c a)) |
(*.f64 c (/.f64 -4 (/.f64 b a))) |
(*.f64 c (*.f64 -4 (/.f64 a b))) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 c (/.f64 b a))) |
(/.f64 -4 (/.f64 (/.f64 b a) c)) |
(*.f64 (/.f64 -4 b) (*.f64 c a)) |
(*.f64 c (/.f64 -4 (/.f64 b a))) |
(*.f64 c (*.f64 -4 (/.f64 a b))) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 c (/.f64 b a))) |
(/.f64 -4 (/.f64 (/.f64 b a) c)) |
(*.f64 (/.f64 -4 b) (*.f64 c a)) |
(*.f64 c (/.f64 -4 (/.f64 b a))) |
(*.f64 c (*.f64 -4 (/.f64 a b))) |
(*.f64 -4 (/.f64 (*.f64 c a) b)) |
(*.f64 -4 (/.f64 c (/.f64 b a))) |
(/.f64 -4 (/.f64 (/.f64 b a) c)) |
(*.f64 (/.f64 -4 b) (*.f64 c a)) |
(*.f64 c (/.f64 -4 (/.f64 b a))) |
(*.f64 c (*.f64 -4 (/.f64 a b))) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(neg.f64 (/.f64 b (*.f64 c a))) |
(/.f64 (neg.f64 b) (*.f64 c a)) |
(/.f64 (/.f64 (neg.f64 b) a) c) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(neg.f64 (/.f64 b (*.f64 c a))) |
(/.f64 (neg.f64 b) (*.f64 c a)) |
(/.f64 (/.f64 (neg.f64 b) a) c) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(neg.f64 (/.f64 b (*.f64 c a))) |
(/.f64 (neg.f64 b) (*.f64 c a)) |
(/.f64 (/.f64 (neg.f64 b) a) c) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(neg.f64 (/.f64 b (*.f64 c a))) |
(/.f64 (neg.f64 b) (*.f64 c a)) |
(/.f64 (/.f64 (neg.f64 b) a) c) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(neg.f64 (/.f64 b (*.f64 c a))) |
(/.f64 (neg.f64 b) (*.f64 c a)) |
(/.f64 (/.f64 (neg.f64 b) a) c) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(neg.f64 (/.f64 b (*.f64 c a))) |
(/.f64 (neg.f64 b) (*.f64 c a)) |
(/.f64 (/.f64 (neg.f64 b) a) c) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(neg.f64 (/.f64 b (*.f64 c a))) |
(/.f64 (neg.f64 b) (*.f64 c a)) |
(/.f64 (/.f64 (neg.f64 b) a) c) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(neg.f64 (/.f64 b (*.f64 c a))) |
(/.f64 (neg.f64 b) (*.f64 c a)) |
(/.f64 (/.f64 (neg.f64 b) a) c) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(neg.f64 (/.f64 b (*.f64 c a))) |
(/.f64 (neg.f64 b) (*.f64 c a)) |
(/.f64 (/.f64 (neg.f64 b) a) c) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(neg.f64 (/.f64 b (*.f64 c a))) |
(/.f64 (neg.f64 b) (*.f64 c a)) |
(/.f64 (/.f64 (neg.f64 b) a) c) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(neg.f64 (/.f64 b (*.f64 c a))) |
(/.f64 (neg.f64 b) (*.f64 c a)) |
(/.f64 (/.f64 (neg.f64 b) a) c) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(neg.f64 (/.f64 b (*.f64 c a))) |
(/.f64 (neg.f64 b) (*.f64 c a)) |
(/.f64 (/.f64 (neg.f64 b) a) c) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(neg.f64 (/.f64 b (*.f64 c a))) |
(/.f64 (neg.f64 b) (*.f64 c a)) |
(/.f64 (/.f64 (neg.f64 b) a) c) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(neg.f64 (/.f64 b (*.f64 c a))) |
(/.f64 (neg.f64 b) (*.f64 c a)) |
(/.f64 (/.f64 (neg.f64 b) a) c) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(neg.f64 (/.f64 b (*.f64 c a))) |
(/.f64 (neg.f64 b) (*.f64 c a)) |
(/.f64 (/.f64 (neg.f64 b) a) c) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(neg.f64 (/.f64 b (*.f64 c a))) |
(/.f64 (neg.f64 b) (*.f64 c a)) |
(/.f64 (/.f64 (neg.f64 b) a) c) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(neg.f64 (/.f64 b (*.f64 c a))) |
(/.f64 (neg.f64 b) (*.f64 c a)) |
(/.f64 (/.f64 (neg.f64 b) a) c) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(neg.f64 (/.f64 b (*.f64 c a))) |
(/.f64 (neg.f64 b) (*.f64 c a)) |
(/.f64 (/.f64 (neg.f64 b) a) c) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(neg.f64 (/.f64 b (*.f64 c a))) |
(/.f64 (neg.f64 b) (*.f64 c a)) |
(/.f64 (/.f64 (neg.f64 b) a) c) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(neg.f64 (/.f64 b (*.f64 c a))) |
(/.f64 (neg.f64 b) (*.f64 c a)) |
(/.f64 (/.f64 (neg.f64 b) a) c) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(neg.f64 (/.f64 b (*.f64 c a))) |
(/.f64 (neg.f64 b) (*.f64 c a)) |
(/.f64 (/.f64 (neg.f64 b) a) c) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(neg.f64 (/.f64 b (*.f64 c a))) |
(/.f64 (neg.f64 b) (*.f64 c a)) |
(/.f64 (/.f64 (neg.f64 b) a) c) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(neg.f64 (/.f64 b (*.f64 c a))) |
(/.f64 (neg.f64 b) (*.f64 c a)) |
(/.f64 (/.f64 (neg.f64 b) a) c) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(neg.f64 (/.f64 b (*.f64 c a))) |
(/.f64 (neg.f64 b) (*.f64 c a)) |
(/.f64 (/.f64 (neg.f64 b) a) c) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(neg.f64 (/.f64 b (*.f64 c a))) |
(/.f64 (neg.f64 b) (*.f64 c a)) |
(/.f64 (/.f64 (neg.f64 b) a) c) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(neg.f64 (/.f64 b (*.f64 c a))) |
(/.f64 (neg.f64 b) (*.f64 c a)) |
(/.f64 (/.f64 (neg.f64 b) a) c) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(neg.f64 (/.f64 b (*.f64 c a))) |
(/.f64 (neg.f64 b) (*.f64 c a)) |
(/.f64 (/.f64 (neg.f64 b) a) c) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(neg.f64 (/.f64 b (*.f64 c a))) |
(/.f64 (neg.f64 b) (*.f64 c a)) |
(/.f64 (/.f64 (neg.f64 b) a) c) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(neg.f64 (/.f64 b (*.f64 c a))) |
(/.f64 (neg.f64 b) (*.f64 c a)) |
(/.f64 (/.f64 (neg.f64 b) a) c) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(neg.f64 (/.f64 b (*.f64 c a))) |
(/.f64 (neg.f64 b) (*.f64 c a)) |
(/.f64 (/.f64 (neg.f64 b) a) c) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(neg.f64 (/.f64 b (*.f64 c a))) |
(/.f64 (neg.f64 b) (*.f64 c a)) |
(/.f64 (/.f64 (neg.f64 b) a) c) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(neg.f64 (/.f64 b (*.f64 c a))) |
(/.f64 (neg.f64 b) (*.f64 c a)) |
(/.f64 (/.f64 (neg.f64 b) a) c) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(neg.f64 (/.f64 b (*.f64 c a))) |
(/.f64 (neg.f64 b) (*.f64 c a)) |
(/.f64 (/.f64 (neg.f64 b) a) c) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(neg.f64 (/.f64 b (*.f64 c a))) |
(/.f64 (neg.f64 b) (*.f64 c a)) |
(/.f64 (/.f64 (neg.f64 b) a) c) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(neg.f64 (/.f64 b (*.f64 c a))) |
(/.f64 (neg.f64 b) (*.f64 c a)) |
(/.f64 (/.f64 (neg.f64 b) a) c) |
(*.f64 -1 (/.f64 b (*.f64 c a))) |
(neg.f64 (/.f64 b (*.f64 c a))) |
(/.f64 (neg.f64 b) (*.f64 c a)) |
(/.f64 (/.f64 (neg.f64 b) a) c) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 7.1b | (log.f64 (*.f64 b (/.f64 -1 a))) | |
| 2.1b | (exp.f64 (log.f64 (*.f64 b (/.f64 -1 a)))) | |
| 0.3b | (*.f64 b (/.f64 -1 a)) | |
| ✓ | 0.3b | (*.f64 b (/.f64 -1 a)) |
| ✓ | 2.1b | (exp.f64 (log.f64 (*.f64 b (/.f64 -1 a)))) |
| ✓ | 7.1b | (log.f64 (*.f64 b (/.f64 -1 a))) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 129.0ms | a | @ | 0 | (log.f64 (*.f64 b (/.f64 -1 a))) |
| 46.0ms | b | @ | 0 | (log.f64 (*.f64 b (/.f64 -1 a))) |
| 43.0ms | b | @ | -inf | (log.f64 (*.f64 b (/.f64 -1 a))) |
| 16.0ms | a | @ | -inf | (log.f64 (*.f64 b (/.f64 -1 a))) |
| 8.0ms | b | @ | inf | (log.f64 (*.f64 b (/.f64 -1 a))) |
| 1× | batch-egg-rewrite |
| 661× | pow1_binary64 |
| 606× | add-log-exp_binary64 |
| 606× | log1p-expm1-u_binary64 |
| 606× | expm1-log1p-u_binary64 |
| 593× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 23 |
| 1 | 146 | 20 |
| 2 | 1659 | 20 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (*.f64 b (/.f64 -1 a))) |
(exp.f64 (log.f64 (*.f64 b (/.f64 -1 a)))) |
(*.f64 b (/.f64 -1 a)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 -1 a)) (log.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 b) (log.f64 (/.f64 -1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 b (neg.f64 a)))) (log.f64 (sqrt.f64 (/.f64 b (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 b (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 b (neg.f64 a))) 2)) (log.f64 (cbrt.f64 (/.f64 b (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (/.f64 b (neg.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (*.f64 b -1)) (log.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 b (neg.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 b (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 b (neg.f64 a)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 b (neg.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 b (neg.f64 a)))) 2) (cbrt.f64 (log.f64 (/.f64 b (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 b (neg.f64 a)))) (sqrt.f64 (log.f64 (/.f64 b (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 b) 3) (pow.f64 (log.f64 (/.f64 -1 a)) 3)) (+.f64 (*.f64 (log.f64 b) (log.f64 b)) (-.f64 (*.f64 (log.f64 (/.f64 -1 a)) (log.f64 (/.f64 -1 a))) (*.f64 (log.f64 b) (log.f64 (/.f64 -1 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 b) (log.f64 b)) (*.f64 (log.f64 (/.f64 -1 a)) (log.f64 (/.f64 -1 a)))) (-.f64 (log.f64 b) (log.f64 (/.f64 -1 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 b (neg.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 b (neg.f64 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 b (neg.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 b (neg.f64 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 b (neg.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 b (neg.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 b (neg.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 b (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 b (neg.f64 a))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 b (neg.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 b (neg.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 -1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 1 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 a) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (neg.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (neg.f64 a))) (pow.f64 (cbrt.f64 (/.f64 b (neg.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b (neg.f64 a))) 2) (cbrt.f64 (/.f64 b (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 a)) 2) (*.f64 (/.f64 -1 (cbrt.f64 a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 -1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b (neg.f64 a))) (sqrt.f64 (/.f64 b (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 a)) (*.f64 (sqrt.f64 (/.f64 -1 a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 -1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b -1) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b 1) (/.f64 -1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (pow.f64 (cbrt.f64 a) 2)) (/.f64 -1 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (sqrt.f64 a)) (/.f64 -1 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b (pow.f64 (/.f64 -1 (cbrt.f64 a)) 2)) (/.f64 -1 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b (sqrt.f64 (/.f64 -1 a))) (sqrt.f64 (/.f64 -1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 a) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (*.f64 a -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 b -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b -1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 b -1)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b -1) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b -1) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b -1) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (neg.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (neg.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b (neg.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b (neg.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 b (neg.f64 a)))) 2)) (cbrt.f64 (log.f64 (/.f64 b (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 b (neg.f64 a))))) (sqrt.f64 (log.f64 (/.f64 b (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 b (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b (neg.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b (neg.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 b 3) (pow.f64 (/.f64 -1 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 a) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b (neg.f64 a)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 b (neg.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 b (neg.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (*.f64 a -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 b -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b -1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 b -1)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b -1) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b -1) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b -1) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (neg.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (neg.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b (neg.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b (neg.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 b (neg.f64 a)))) 2)) (cbrt.f64 (log.f64 (/.f64 b (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 b (neg.f64 a))))) (sqrt.f64 (log.f64 (/.f64 b (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 b (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b (neg.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b (neg.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 b 3) (pow.f64 (/.f64 -1 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 a) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 b (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b (neg.f64 a)))))))) |
| 1× | egg-herbie |
| 212× | fma-neg_binary64 |
| 156× | fma-def_binary64 |
| 80× | cancel-sign-sub-inv_binary64 |
| 61× | sub-neg_binary64 |
| 43× | associate--r+_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 564 |
| 1 | 55 | 540 |
| 2 | 100 | 540 |
| 3 | 230 | 540 |
| 4 | 483 | 540 |
| 5 | 694 | 540 |
| 6 | 922 | 540 |
| 7 | 1025 | 540 |
| 8 | 1059 | 540 |
| 9 | 1060 | 540 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (log.f64 b) (log.f64 (/.f64 -1 a))) |
(+.f64 (log.f64 b) (log.f64 (/.f64 -1 a))) |
(+.f64 (log.f64 b) (log.f64 (/.f64 -1 a))) |
(+.f64 (log.f64 b) (log.f64 (/.f64 -1 a))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (/.f64 -1 a))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (/.f64 -1 a))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (/.f64 -1 a))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (/.f64 -1 a))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (/.f64 1 a))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (/.f64 1 a))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (/.f64 1 a))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (/.f64 1 a))) |
(+.f64 (*.f64 -1 (log.f64 a)) (log.f64 (*.f64 -1 b))) |
(+.f64 (*.f64 -1 (log.f64 a)) (log.f64 (*.f64 -1 b))) |
(+.f64 (*.f64 -1 (log.f64 a)) (log.f64 (*.f64 -1 b))) |
(+.f64 (*.f64 -1 (log.f64 a)) (log.f64 (*.f64 -1 b))) |
(+.f64 (log.f64 (/.f64 1 a)) (log.f64 (*.f64 -1 b))) |
(+.f64 (log.f64 (/.f64 1 a)) (log.f64 (*.f64 -1 b))) |
(+.f64 (log.f64 (/.f64 1 a)) (log.f64 (*.f64 -1 b))) |
(+.f64 (log.f64 (/.f64 1 a)) (log.f64 (*.f64 -1 b))) |
(+.f64 (log.f64 b) (log.f64 (/.f64 -1 a))) |
(+.f64 (log.f64 b) (log.f64 (/.f64 -1 a))) |
(+.f64 (log.f64 b) (log.f64 (/.f64 -1 a))) |
(+.f64 (log.f64 b) (log.f64 (/.f64 -1 a))) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
| Outputs |
|---|
(+.f64 (log.f64 b) (log.f64 (/.f64 -1 a))) |
(-.f64 (log.f64 (neg.f64 b)) (log.f64 a)) |
(+.f64 (log.f64 b) (log.f64 (/.f64 -1 a))) |
(-.f64 (log.f64 (neg.f64 b)) (log.f64 a)) |
(+.f64 (log.f64 b) (log.f64 (/.f64 -1 a))) |
(-.f64 (log.f64 (neg.f64 b)) (log.f64 a)) |
(+.f64 (log.f64 b) (log.f64 (/.f64 -1 a))) |
(-.f64 (log.f64 (neg.f64 b)) (log.f64 a)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (/.f64 -1 a))) |
(+.f64 (log.f64 b) (log.f64 (/.f64 -1 a))) |
(-.f64 (log.f64 (neg.f64 b)) (log.f64 a)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (/.f64 -1 a))) |
(+.f64 (log.f64 b) (log.f64 (/.f64 -1 a))) |
(-.f64 (log.f64 (neg.f64 b)) (log.f64 a)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (/.f64 -1 a))) |
(+.f64 (log.f64 b) (log.f64 (/.f64 -1 a))) |
(-.f64 (log.f64 (neg.f64 b)) (log.f64 a)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (/.f64 -1 a))) |
(+.f64 (log.f64 b) (log.f64 (/.f64 -1 a))) |
(-.f64 (log.f64 (neg.f64 b)) (log.f64 a)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (/.f64 1 a))) |
(fma.f64 -1 (log.f64 (/.f64 -1 b)) (neg.f64 (log.f64 a))) |
(-.f64 (neg.f64 (log.f64 (/.f64 -1 b))) (log.f64 a)) |
(-.f64 (-.f64 (log.f64 b) (log.f64 -1)) (log.f64 a)) |
(-.f64 (log.f64 b) (+.f64 (log.f64 a) (log.f64 -1))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (/.f64 1 a))) |
(fma.f64 -1 (log.f64 (/.f64 -1 b)) (neg.f64 (log.f64 a))) |
(-.f64 (neg.f64 (log.f64 (/.f64 -1 b))) (log.f64 a)) |
(-.f64 (-.f64 (log.f64 b) (log.f64 -1)) (log.f64 a)) |
(-.f64 (log.f64 b) (+.f64 (log.f64 a) (log.f64 -1))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (/.f64 1 a))) |
(fma.f64 -1 (log.f64 (/.f64 -1 b)) (neg.f64 (log.f64 a))) |
(-.f64 (neg.f64 (log.f64 (/.f64 -1 b))) (log.f64 a)) |
(-.f64 (-.f64 (log.f64 b) (log.f64 -1)) (log.f64 a)) |
(-.f64 (log.f64 b) (+.f64 (log.f64 a) (log.f64 -1))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (/.f64 1 a))) |
(fma.f64 -1 (log.f64 (/.f64 -1 b)) (neg.f64 (log.f64 a))) |
(-.f64 (neg.f64 (log.f64 (/.f64 -1 b))) (log.f64 a)) |
(-.f64 (-.f64 (log.f64 b) (log.f64 -1)) (log.f64 a)) |
(-.f64 (log.f64 b) (+.f64 (log.f64 a) (log.f64 -1))) |
(+.f64 (*.f64 -1 (log.f64 a)) (log.f64 (*.f64 -1 b))) |
(+.f64 (log.f64 b) (log.f64 (/.f64 -1 a))) |
(-.f64 (log.f64 (neg.f64 b)) (log.f64 a)) |
(+.f64 (*.f64 -1 (log.f64 a)) (log.f64 (*.f64 -1 b))) |
(+.f64 (log.f64 b) (log.f64 (/.f64 -1 a))) |
(-.f64 (log.f64 (neg.f64 b)) (log.f64 a)) |
(+.f64 (*.f64 -1 (log.f64 a)) (log.f64 (*.f64 -1 b))) |
(+.f64 (log.f64 b) (log.f64 (/.f64 -1 a))) |
(-.f64 (log.f64 (neg.f64 b)) (log.f64 a)) |
(+.f64 (*.f64 -1 (log.f64 a)) (log.f64 (*.f64 -1 b))) |
(+.f64 (log.f64 b) (log.f64 (/.f64 -1 a))) |
(-.f64 (log.f64 (neg.f64 b)) (log.f64 a)) |
(+.f64 (log.f64 (/.f64 1 a)) (log.f64 (*.f64 -1 b))) |
(+.f64 (log.f64 b) (log.f64 (/.f64 -1 a))) |
(-.f64 (log.f64 (neg.f64 b)) (log.f64 a)) |
(+.f64 (log.f64 (/.f64 1 a)) (log.f64 (*.f64 -1 b))) |
(+.f64 (log.f64 b) (log.f64 (/.f64 -1 a))) |
(-.f64 (log.f64 (neg.f64 b)) (log.f64 a)) |
(+.f64 (log.f64 (/.f64 1 a)) (log.f64 (*.f64 -1 b))) |
(+.f64 (log.f64 b) (log.f64 (/.f64 -1 a))) |
(-.f64 (log.f64 (neg.f64 b)) (log.f64 a)) |
(+.f64 (log.f64 (/.f64 1 a)) (log.f64 (*.f64 -1 b))) |
(+.f64 (log.f64 b) (log.f64 (/.f64 -1 a))) |
(-.f64 (log.f64 (neg.f64 b)) (log.f64 a)) |
(+.f64 (log.f64 b) (log.f64 (/.f64 -1 a))) |
(-.f64 (log.f64 (neg.f64 b)) (log.f64 a)) |
(+.f64 (log.f64 b) (log.f64 (/.f64 -1 a))) |
(-.f64 (log.f64 (neg.f64 b)) (log.f64 a)) |
(+.f64 (log.f64 b) (log.f64 (/.f64 -1 a))) |
(-.f64 (log.f64 (neg.f64 b)) (log.f64 a)) |
(+.f64 (log.f64 b) (log.f64 (/.f64 -1 a))) |
(-.f64 (log.f64 (neg.f64 b)) (log.f64 a)) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
Compiled 8118 to 5366 computations (33.9% saved)
37 alts after pruning (31 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 440 | 16 | 456 |
| Fresh | 7 | 15 | 22 |
| Picked | 0 | 1 | 1 |
| Done | 4 | 5 | 9 |
| Total | 451 | 37 | 488 |
| Status | Error | Program |
|---|---|---|
| ✓ | 55.8b | (exp.f64 (log.f64 (*.f64 b (/.f64 -1 a)))) |
| 39.5b | (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) | |
| 45.8b | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| 42.6b | (pow.f64 (*.f64 (/.f64 (/.f64 b c) (*.f64 -2 a)) (+.f64 a a)) -1) | |
| 55.9b | (pow.f64 (exp.f64 1) (log.f64 (/.f64 b (neg.f64 a)))) | |
| 51.8b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)))) 1) (*.f64 2 a)) | |
| 39.7b | (/.f64 (*.f64 -2 c) (fma.f64 b 2 (*.f64 (/.f64 c b) (*.f64 -2 a)))) | |
| 39.9b | (/.f64 1 (neg.f64 (/.f64 b c))) | |
| 45.9b | (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) | |
| 55.2b | (/.f64 1 (/.f64 b c)) | |
| 42.3b | (*.f64 (/.f64 -2 a) (/.f64 (/.f64 a (/.f64 b c)) 2)) | |
| 45.8b | (*.f64 (/.f64 1 a) (pow.f64 (/.f64 -1 b) -1)) | |
| ✓ | 45.7b | (neg.f64 (/.f64 b a)) |
| 42.3b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) | |
| ✓ | 55.3b | (/.f64 c b) |
| 45.8b | (*.f64 b (/.f64 -1 a)) | |
| 46.5b | (+.f64 1 (-.f64 (/.f64 b (neg.f64 a)) 1)) | |
| 46.6b | (/.f64 (*.f64 -2 c) (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a))))) | |
| ✓ | 46.0b | (/.f64 1 (/.f64 a (*.f64 (fma.f64 (*.f64 (/.f64 -4 (/.f64 b c)) a) -1/2 (*.f64 b -2)) 1/2))) |
| 46.1b | (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 a (/.f64 -1 b))) 3)) | |
| 45.8b | (/.f64 1 (/.f64 (neg.f64 a) b)) | |
| 46.0b | (pow.f64 (cbrt.f64 (/.f64 b (neg.f64 a))) 3) | |
| ✓ | 30.8b | (/.f64 (*.f64 -2 c) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) |
| 30.9b | (*.f64 -2 (/.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) c))) | |
| 50.3b | (/.f64 (*.f64 -2 c) (*.f64 (/.f64 c b) (*.f64 2 a))) | |
| 42.4b | (*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (/.f64 1/2 a)) | |
| ✓ | 62.1b | (/.f64 b a) |
| 59.6b | (pow.f64 (pow.f64 (/.f64 b (neg.f64 a)) 3) 1/3) | |
| 33.7b | (/.f64 (*.f64 (*.f64 -4 (*.f64 c a)) (/.f64 1/2 a)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) | |
| 44.3b | (/.f64 (/.f64 -2 (/.f64 (/.f64 1 c) (/.f64 a b))) (*.f64 2 a)) | |
| 45.8b | (/.f64 1 (/.f64 (/.f64 -1 b) (/.f64 1 a))) | |
| 43.3b | (*.f64 (/.f64 (/.f64 -2 b) 2) (/.f64 (*.f64 c a) a)) | |
| 30.9b | (*.f64 (/.f64 -2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) c) | |
| 39.8b | (/.f64 (neg.f64 c) b) | |
| 44.4b | (/.f64 (*.f64 (/.f64 -2 (/.f64 b a)) c) (*.f64 2 a)) | |
| 44.4b | (/.f64 1 (*.f64 a (*.f64 (/.f64 4 (*.f64 a (*.f64 -4 c))) b))) | |
| 32.3b | (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b))) b) (/.f64 1/2 a)) |
Compiled 496 to 366 computations (26.2% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(neg.f64 (/.f64 b a)) |
(*.f64 b (/.f64 -1 a)) |
(/.f64 1 (/.f64 b c)) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 1 (neg.f64 (/.f64 b c))) |
(/.f64 1 (neg.f64 (/.f64 a b))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (-.f64 b b) (/.f64 1/2 a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 1 (-.f64 (/.f64 b (neg.f64 a)) 1)) |
(/.f64 1 (/.f64 (/.f64 -1 b) (/.f64 1 a))) |
(/.f64 1 (*.f64 a (/.f64 2 (*.f64 -2 b)))) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 (*.f64 -2 c) (*.f64 (/.f64 c b) (*.f64 2 a))) |
(/.f64 (*.f64 (/.f64 -2 (/.f64 b a)) c) (*.f64 2 a)) |
(*.f64 (/.f64 -2 a) (/.f64 (/.f64 a (/.f64 b c)) 2)) |
(*.f64 (/.f64 (/.f64 -2 b) 2) (/.f64 (*.f64 c a) a)) |
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a)) |
(*.f64 (/.f64 (*.f64 c a) (/.f64 b -2)) (/.f64 1/2 a)) |
(/.f64 1 (*.f64 a (*.f64 (/.f64 4 (*.f64 a (*.f64 -4 c))) b))) |
(/.f64 (/.f64 -2 (/.f64 (/.f64 1 c) (/.f64 a b))) (*.f64 2 a)) |
(/.f64 (/.f64 -2 (*.f64 (/.f64 1 c) (/.f64 b a))) (*.f64 2 a)) |
(/.f64 1 (*.f64 a (/.f64 2 (*.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b)))))) |
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 -1 b) -1)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (/.f64 1/2 a)) |
(pow.f64 (*.f64 (/.f64 (/.f64 b c) (*.f64 -2 a)) (+.f64 a a)) -1) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
(/.f64 (*.f64 -2 c) (fma.f64 b 2 (*.f64 (/.f64 c b) (*.f64 -2 a)))) |
(*.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 a b) c) b) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b))) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
(/.f64 1 (/.f64 a (*.f64 (fma.f64 (*.f64 (/.f64 -4 (/.f64 b c)) a) -1/2 (*.f64 b -2)) 1/2))) |
(pow.f64 (cbrt.f64 (/.f64 b (neg.f64 a))) 3) |
(exp.f64 (log.f64 (*.f64 b (/.f64 -1 a)))) |
(pow.f64 (pow.f64 (/.f64 b (neg.f64 a)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 b (/.f64 -1 a))) 3) |
(pow.f64 (pow.f64 (*.f64 b (/.f64 -1 a)) 3) 1/3) |
(/.f64 1 (pow.f64 (cbrt.f64 (*.f64 a (/.f64 -1 b))) 3)) |
(*.f64 (/.f64 -2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) c) |
(/.f64 (*.f64 -2 c) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a)) |
(*.f64 -2 (/.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) c))) |
(/.f64 1 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b)))) |
(/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) 1/2))) |
(/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1) (*.f64 2 a)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 (/.f64 1/2 a) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (*.f64 (/.f64 1/2 a) (neg.f64 b))) |
(/.f64 (*.f64 (*.f64 -4 (*.f64 c a)) (/.f64 1/2 a)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) |
(pow.f64 (exp.f64 1) (log.f64 (/.f64 b (neg.f64 a)))) |
(/.f64 (/.f64 (*.f64 b -1) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a)) |
(/.f64 (*.f64 -2 c) (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a))))) |
(/.f64 1 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)) b) b)))) |
(/.f64 (*.f64 (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)))) 1) (*.f64 2 a)) |
(/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))) b) 1/2))) |
(*.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2)) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) 2) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 1/4) 2)) (*.f64 2 a)) |
(/.f64 (*.f64 (-.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (*.f64 b b)) (/.f64 1/2 a)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) |
(*.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b))) (/.f64 1/2 a)) |
(/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (*.f64 2 a)) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) 2)) (/.f64 1/2 a)) |
(/.f64 (pow.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 2) (*.f64 2 a)) |
(*.f64 (/.f64 1/2 (sqrt.f64 a)) (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) b) (sqrt.f64 a))) |
(/.f64 (/.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) 1/2) (sqrt.f64 a)) (sqrt.f64 a)) |
| Outputs |
|---|
(neg.f64 (/.f64 b a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
(/.f64 (*.f64 -2 c) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) |
(/.f64 (neg.f64 c) b) |
4 calls:
| 923.0ms | c |
| 714.0ms | a |
| 321.0ms | b |
| 125.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| Error | Segments | Branch |
|---|---|---|
| 22.5b | 9 | a |
| 6.2b | 4 | b |
| 22.4b | 9 | c |
| 11.4b | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
Compiled 902 to 545 computations (39.6% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 63.0ms | 5.161151587419122e+46 | 5.5534989476709036e+48 |
| 49.0ms | -1.73790825174208e-206 | -4.323466075067134e-210 |
| 73.0ms | -9.611025616614385e+115 | -8.55541224004272e+110 |
Compiled 599 to 432 computations (27.9% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(neg.f64 (/.f64 b a)) |
(*.f64 b (/.f64 -1 a)) |
(/.f64 1 (/.f64 b c)) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 1 (neg.f64 (/.f64 b c))) |
(/.f64 1 (neg.f64 (/.f64 a b))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (-.f64 b b) (/.f64 1/2 a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 1 (-.f64 (/.f64 b (neg.f64 a)) 1)) |
(/.f64 1 (/.f64 (/.f64 -1 b) (/.f64 1 a))) |
(/.f64 1 (*.f64 a (/.f64 2 (*.f64 -2 b)))) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 (*.f64 -2 c) (*.f64 (/.f64 c b) (*.f64 2 a))) |
(/.f64 (*.f64 (/.f64 -2 (/.f64 b a)) c) (*.f64 2 a)) |
(*.f64 (/.f64 -2 a) (/.f64 (/.f64 a (/.f64 b c)) 2)) |
(*.f64 (/.f64 (/.f64 -2 b) 2) (/.f64 (*.f64 c a) a)) |
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a)) |
(*.f64 (/.f64 (*.f64 c a) (/.f64 b -2)) (/.f64 1/2 a)) |
(/.f64 1 (*.f64 a (*.f64 (/.f64 4 (*.f64 a (*.f64 -4 c))) b))) |
(/.f64 (/.f64 -2 (/.f64 (/.f64 1 c) (/.f64 a b))) (*.f64 2 a)) |
(/.f64 (/.f64 -2 (*.f64 (/.f64 1 c) (/.f64 b a))) (*.f64 2 a)) |
(/.f64 1 (*.f64 a (/.f64 2 (*.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b)))))) |
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 -1 b) -1)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (/.f64 1/2 a)) |
(pow.f64 (*.f64 (/.f64 (/.f64 b c) (*.f64 -2 a)) (+.f64 a a)) -1) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
(/.f64 (*.f64 -2 c) (fma.f64 b 2 (*.f64 (/.f64 c b) (*.f64 -2 a)))) |
(*.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 a b) c) b) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b))) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
(/.f64 1 (/.f64 a (*.f64 (fma.f64 (*.f64 (/.f64 -4 (/.f64 b c)) a) -1/2 (*.f64 b -2)) 1/2))) |
(pow.f64 (cbrt.f64 (/.f64 b (neg.f64 a))) 3) |
(exp.f64 (log.f64 (*.f64 b (/.f64 -1 a)))) |
(pow.f64 (pow.f64 (/.f64 b (neg.f64 a)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 b (/.f64 -1 a))) 3) |
(pow.f64 (pow.f64 (*.f64 b (/.f64 -1 a)) 3) 1/3) |
(/.f64 1 (pow.f64 (cbrt.f64 (*.f64 a (/.f64 -1 b))) 3)) |
(*.f64 (/.f64 -2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) c) |
| Outputs |
|---|
(neg.f64 (/.f64 b a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
(*.f64 (/.f64 -2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) c) |
(/.f64 (neg.f64 c) b) |
4 calls:
| 400.0ms | c |
| 200.0ms | a |
| 119.0ms | b |
| 75.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| Error | Segments | Branch |
|---|---|---|
| 24.9b | 7 | a |
| 6.3b | 4 | b |
| 23.1b | 14 | c |
| 11.4b | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
Compiled 485 to 281 computations (42.1% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 60.0ms | 5.161151587419122e+46 | 5.5534989476709036e+48 |
| 41.0ms | -5.690268534573297e-285 | -6.523416471903405e-289 |
| 68.0ms | -9.611025616614385e+115 | -8.55541224004272e+110 |
Compiled 599 to 432 computations (27.9% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(neg.f64 (/.f64 b a)) |
(*.f64 b (/.f64 -1 a)) |
(/.f64 1 (/.f64 b c)) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 1 (neg.f64 (/.f64 b c))) |
(/.f64 1 (neg.f64 (/.f64 a b))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (-.f64 b b) (/.f64 1/2 a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 1 (-.f64 (/.f64 b (neg.f64 a)) 1)) |
(/.f64 1 (/.f64 (/.f64 -1 b) (/.f64 1 a))) |
(/.f64 1 (*.f64 a (/.f64 2 (*.f64 -2 b)))) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 (*.f64 -2 c) (*.f64 (/.f64 c b) (*.f64 2 a))) |
(/.f64 (*.f64 (/.f64 -2 (/.f64 b a)) c) (*.f64 2 a)) |
(*.f64 (/.f64 -2 a) (/.f64 (/.f64 a (/.f64 b c)) 2)) |
(*.f64 (/.f64 (/.f64 -2 b) 2) (/.f64 (*.f64 c a) a)) |
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a)) |
(*.f64 (/.f64 (*.f64 c a) (/.f64 b -2)) (/.f64 1/2 a)) |
(/.f64 1 (*.f64 a (*.f64 (/.f64 4 (*.f64 a (*.f64 -4 c))) b))) |
(/.f64 (/.f64 -2 (/.f64 (/.f64 1 c) (/.f64 a b))) (*.f64 2 a)) |
(/.f64 (/.f64 -2 (*.f64 (/.f64 1 c) (/.f64 b a))) (*.f64 2 a)) |
(/.f64 1 (*.f64 a (/.f64 2 (*.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b)))))) |
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 -1 b) -1)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (/.f64 1/2 a)) |
(pow.f64 (*.f64 (/.f64 (/.f64 b c) (*.f64 -2 a)) (+.f64 a a)) -1) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
(/.f64 (*.f64 -2 c) (fma.f64 b 2 (*.f64 (/.f64 c b) (*.f64 -2 a)))) |
(*.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 a b) c) b) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b))) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
(/.f64 1 (/.f64 a (*.f64 (fma.f64 (*.f64 (/.f64 -4 (/.f64 b c)) a) -1/2 (*.f64 b -2)) 1/2))) |
(pow.f64 (cbrt.f64 (/.f64 b (neg.f64 a))) 3) |
(exp.f64 (log.f64 (*.f64 b (/.f64 -1 a)))) |
(pow.f64 (pow.f64 (/.f64 b (neg.f64 a)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 b (/.f64 -1 a))) 3) |
(pow.f64 (pow.f64 (*.f64 b (/.f64 -1 a)) 3) 1/3) |
(/.f64 1 (pow.f64 (cbrt.f64 (*.f64 a (/.f64 -1 b))) 3)) |
| Outputs |
|---|
(neg.f64 (/.f64 b a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
(/.f64 (neg.f64 c) b) |
4 calls:
| 237.0ms | c |
| 159.0ms | a |
| 158.0ms | b |
| 70.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| Error | Segments | Branch |
|---|---|---|
| 26.6b | 6 | a |
| 8.8b | 5 | b |
| 25.8b | 9 | c |
| 11.4b | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
Compiled 471 to 273 computations (42% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 134.0ms | 3.554664853536664e-45 | 6.44785962932452e-32 |
| 82.0ms | 4.58629793314864e-69 | 6.310787641220656e-66 |
| 53.0ms | 5.496386128213255e-157 | 4.298797691520021e-142 |
| 70.0ms | -9.611025616614385e+115 | -8.55541224004272e+110 |
Compiled 1189 to 850 computations (28.5% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(neg.f64 (/.f64 b a)) |
(*.f64 b (/.f64 -1 a)) |
(/.f64 1 (/.f64 b c)) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 1 (neg.f64 (/.f64 b c))) |
(/.f64 1 (neg.f64 (/.f64 a b))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (-.f64 b b) (/.f64 1/2 a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 1 (-.f64 (/.f64 b (neg.f64 a)) 1)) |
(/.f64 1 (/.f64 (/.f64 -1 b) (/.f64 1 a))) |
(/.f64 1 (*.f64 a (/.f64 2 (*.f64 -2 b)))) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 (*.f64 -2 c) (*.f64 (/.f64 c b) (*.f64 2 a))) |
(/.f64 (*.f64 (/.f64 -2 (/.f64 b a)) c) (*.f64 2 a)) |
(*.f64 (/.f64 -2 a) (/.f64 (/.f64 a (/.f64 b c)) 2)) |
(*.f64 (/.f64 (/.f64 -2 b) 2) (/.f64 (*.f64 c a) a)) |
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a)) |
(*.f64 (/.f64 (*.f64 c a) (/.f64 b -2)) (/.f64 1/2 a)) |
(/.f64 1 (*.f64 a (*.f64 (/.f64 4 (*.f64 a (*.f64 -4 c))) b))) |
(/.f64 (/.f64 -2 (/.f64 (/.f64 1 c) (/.f64 a b))) (*.f64 2 a)) |
(/.f64 (/.f64 -2 (*.f64 (/.f64 1 c) (/.f64 b a))) (*.f64 2 a)) |
(/.f64 1 (*.f64 a (/.f64 2 (*.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b)))))) |
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 -1 b) -1)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (/.f64 1/2 a)) |
(pow.f64 (*.f64 (/.f64 (/.f64 b c) (*.f64 -2 a)) (+.f64 a a)) -1) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
(/.f64 (*.f64 -2 c) (fma.f64 b 2 (*.f64 (/.f64 c b) (*.f64 -2 a)))) |
(*.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 a b) c) b) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b))) b) (/.f64 1/2 a)) |
| Outputs |
|---|
(neg.f64 (/.f64 b a)) |
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b))) b) (/.f64 1/2 a)) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b))) b) (/.f64 1/2 a)) |
(/.f64 (neg.f64 c) b) |
3 calls:
| 191.0ms | c |
| 140.0ms | a |
| 139.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 26.6b | 6 | a |
| 8.9b | 5 | b |
| 25.8b | 9 | c |
Compiled 367 to 205 computations (44.1% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 130.0ms | 3.554664853536664e-45 | 6.44785962932452e-32 |
| 82.0ms | 4.58629793314864e-69 | 6.310787641220656e-66 |
| 53.0ms | 5.496386128213255e-157 | 4.298797691520021e-142 |
| 69.0ms | -9.611025616614385e+115 | -8.55541224004272e+110 |
Compiled 1152 to 813 computations (29.4% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(neg.f64 (/.f64 b a)) |
(*.f64 b (/.f64 -1 a)) |
(/.f64 1 (/.f64 b c)) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 1 (neg.f64 (/.f64 b c))) |
(/.f64 1 (neg.f64 (/.f64 a b))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (-.f64 b b) (/.f64 1/2 a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 1 (-.f64 (/.f64 b (neg.f64 a)) 1)) |
(/.f64 1 (/.f64 (/.f64 -1 b) (/.f64 1 a))) |
(/.f64 1 (*.f64 a (/.f64 2 (*.f64 -2 b)))) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 (*.f64 -2 c) (*.f64 (/.f64 c b) (*.f64 2 a))) |
(/.f64 (*.f64 (/.f64 -2 (/.f64 b a)) c) (*.f64 2 a)) |
(*.f64 (/.f64 -2 a) (/.f64 (/.f64 a (/.f64 b c)) 2)) |
(*.f64 (/.f64 (/.f64 -2 b) 2) (/.f64 (*.f64 c a) a)) |
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a)) |
(*.f64 (/.f64 (*.f64 c a) (/.f64 b -2)) (/.f64 1/2 a)) |
(/.f64 1 (*.f64 a (*.f64 (/.f64 4 (*.f64 a (*.f64 -4 c))) b))) |
(/.f64 (/.f64 -2 (/.f64 (/.f64 1 c) (/.f64 a b))) (*.f64 2 a)) |
(/.f64 (/.f64 -2 (*.f64 (/.f64 1 c) (/.f64 b a))) (*.f64 2 a)) |
(/.f64 1 (*.f64 a (/.f64 2 (*.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b)))))) |
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 -1 b) -1)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (/.f64 1/2 a)) |
(pow.f64 (*.f64 (/.f64 (/.f64 b c) (*.f64 -2 a)) (+.f64 a a)) -1) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
(/.f64 (*.f64 -2 c) (fma.f64 b 2 (*.f64 (/.f64 c b) (*.f64 -2 a)))) |
(*.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 a b) c) b) b) (/.f64 1/2 a)) |
| Outputs |
|---|
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
(/.f64 (neg.f64 c) b) |
3 calls:
| 157.0ms | a |
| 122.0ms | c |
| 105.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 30.4b | 8 | a |
| 12.1b | 5 | b |
| 31.4b | 6 | c |
Compiled 351 to 195 computations (44.4% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 128.0ms | 3.554664853536664e-45 | 6.44785962932452e-32 |
| 81.0ms | 4.58629793314864e-69 | 6.310787641220656e-66 |
| 52.0ms | 5.496386128213255e-157 | 4.298797691520021e-142 |
| 43.0ms | -2.1140404739295652e-26 | -1.205223273069864e-26 |
Compiled 928 to 685 computations (26.2% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(neg.f64 (/.f64 b a)) |
(*.f64 b (/.f64 -1 a)) |
(/.f64 1 (/.f64 b c)) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 1 (neg.f64 (/.f64 b c))) |
(/.f64 1 (neg.f64 (/.f64 a b))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (-.f64 b b) (/.f64 1/2 a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 1 (-.f64 (/.f64 b (neg.f64 a)) 1)) |
(/.f64 1 (/.f64 (/.f64 -1 b) (/.f64 1 a))) |
(/.f64 1 (*.f64 a (/.f64 2 (*.f64 -2 b)))) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 (*.f64 -2 c) (*.f64 (/.f64 c b) (*.f64 2 a))) |
(/.f64 (*.f64 (/.f64 -2 (/.f64 b a)) c) (*.f64 2 a)) |
(*.f64 (/.f64 -2 a) (/.f64 (/.f64 a (/.f64 b c)) 2)) |
(*.f64 (/.f64 (/.f64 -2 b) 2) (/.f64 (*.f64 c a) a)) |
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a)) |
(*.f64 (/.f64 (*.f64 c a) (/.f64 b -2)) (/.f64 1/2 a)) |
(/.f64 1 (*.f64 a (*.f64 (/.f64 4 (*.f64 a (*.f64 -4 c))) b))) |
(/.f64 (/.f64 -2 (/.f64 (/.f64 1 c) (/.f64 a b))) (*.f64 2 a)) |
(/.f64 (/.f64 -2 (*.f64 (/.f64 1 c) (/.f64 b a))) (*.f64 2 a)) |
(/.f64 1 (*.f64 a (/.f64 2 (*.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b)))))) |
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 -1 b) -1)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (/.f64 1/2 a)) |
(pow.f64 (*.f64 (/.f64 (/.f64 b c) (*.f64 -2 a)) (+.f64 a a)) -1) |
| Outputs |
|---|
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (/.f64 1/2 a)) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (/.f64 1/2 a)) |
(/.f64 (neg.f64 c) b) |
3 calls:
| 148.0ms | a |
| 104.0ms | c |
| 86.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 30.5b | 8 | a |
| 12.1b | 5 | b |
| 31.5b | 6 | c |
Compiled 310 to 171 computations (44.8% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 129.0ms | 3.554664853536664e-45 | 6.44785962932452e-32 |
| 81.0ms | 4.58629793314864e-69 | 6.310787641220656e-66 |
| 51.0ms | 5.496386128213255e-157 | 4.298797691520021e-142 |
| 42.0ms | -2.1140404739295652e-26 | -1.205223273069864e-26 |
Compiled 896 to 653 computations (27.1% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(neg.f64 (/.f64 b a)) |
(*.f64 b (/.f64 -1 a)) |
(/.f64 1 (/.f64 b c)) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 1 (neg.f64 (/.f64 b c))) |
(/.f64 1 (neg.f64 (/.f64 a b))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (-.f64 b b) (/.f64 1/2 a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 1 (-.f64 (/.f64 b (neg.f64 a)) 1)) |
(/.f64 1 (/.f64 (/.f64 -1 b) (/.f64 1 a))) |
(/.f64 1 (*.f64 a (/.f64 2 (*.f64 -2 b)))) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 (*.f64 -2 c) (*.f64 (/.f64 c b) (*.f64 2 a))) |
(/.f64 (*.f64 (/.f64 -2 (/.f64 b a)) c) (*.f64 2 a)) |
(*.f64 (/.f64 -2 a) (/.f64 (/.f64 a (/.f64 b c)) 2)) |
(*.f64 (/.f64 (/.f64 -2 b) 2) (/.f64 (*.f64 c a) a)) |
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a)) |
(*.f64 (/.f64 (*.f64 c a) (/.f64 b -2)) (/.f64 1/2 a)) |
(/.f64 1 (*.f64 a (*.f64 (/.f64 4 (*.f64 a (*.f64 -4 c))) b))) |
(/.f64 (/.f64 -2 (/.f64 (/.f64 1 c) (/.f64 a b))) (*.f64 2 a)) |
(/.f64 (/.f64 -2 (*.f64 (/.f64 1 c) (/.f64 b a))) (*.f64 2 a)) |
(/.f64 1 (*.f64 a (/.f64 2 (*.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b)))))) |
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 -1 b) -1)) |
| Outputs |
|---|
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
3 calls:
| 78.0ms | a |
| 67.0ms | c |
| 35.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 35.2b | 5 | a |
| 22.9b | 2 | b |
| 37.1b | 3 | c |
Compiled 285 to 156 computations (45.3% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 38.0ms | -4.1202189619205305e-256 | -3.8223378870844424e-260 |
Compiled 218 to 147 computations (32.6% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(neg.f64 (/.f64 b a)) |
(*.f64 b (/.f64 -1 a)) |
(/.f64 1 (/.f64 b c)) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 1 (neg.f64 (/.f64 b c))) |
(/.f64 1 (neg.f64 (/.f64 a b))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (-.f64 b b) (/.f64 1/2 a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 1 (-.f64 (/.f64 b (neg.f64 a)) 1)) |
(/.f64 1 (/.f64 (/.f64 -1 b) (/.f64 1 a))) |
(/.f64 1 (*.f64 a (/.f64 2 (*.f64 -2 b)))) |
| Outputs |
|---|
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 c) b) |
3 calls:
| 49.0ms | a |
| 41.0ms | c |
| 22.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 35.3b | 5 | a |
| 23.0b | 2 | b |
| 37.3b | 3 | c |
Compiled 132 to 65 computations (50.8% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 55.0ms | 1.5830161556399725e-217 | 6.330631225799583e-192 |
Compiled 202 to 151 computations (25.2% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
| Outputs |
|---|
(/.f64 (neg.f64 c) b) |
3 calls:
| 5.0ms | a |
| 5.0ms | b |
| 5.0ms | c |
| Error | Segments | Branch |
|---|---|---|
| 39.8b | 1 | a |
| 39.8b | 1 | b |
| 39.8b | 1 | c |
Compiled 40 to 16 computations (60% saved)
Total -7.7b remaining (-14%)
Threshold costs -7.7b (-14%)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 c b) |
(/.f64 b a) |
| Outputs |
|---|
(/.f64 c b) |
3 calls:
| 4.0ms | c |
| 4.0ms | a |
| 3.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 55.3b | 1 | a |
| 55.3b | 1 | b |
| 55.3b | 1 | c |
Compiled 24 to 14 computations (41.7% saved)
| 1× | egg-herbie |
| 21× | *-commutative_binary64 |
| 17× | +-commutative_binary64 |
| 13× | sub-neg_binary64 |
| 8× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 587 |
| 1 | 139 | 579 |
| 2 | 167 | 579 |
| 3 | 180 | 579 |
| 4 | 186 | 579 |
| 5 | 187 | 579 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 b -860000000000000013594696574933576009110155371969068044158273151406182328796394065590109407905004860003833610240) (neg.f64 (/.f64 b a)) (if (<=.f64 b -6514625173686141/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (if (<=.f64 b 51611515874191217140630021209698462398209327104) (/.f64 (*.f64 -2 c) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b -860000000000000013594696574933576009110155371969068044158273151406182328796394065590109407905004860003833610240) (neg.f64 (/.f64 b a)) (if (<=.f64 b -7241683770807669/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (if (<=.f64 b 51611515874191217140630021209698462398209327104) (*.f64 (/.f64 -2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) c) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b -860000000000000013594696574933576009110155371969068044158273151406182328796394065590109407905004860003833610240) (neg.f64 (/.f64 b a)) (if (<=.f64 b 136031720810207488/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (if (<=.f64 b 735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) (if (<=.f64 b 5784976959332365/1606938044258990275541962092341162602522202993782792835301376) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (neg.f64 c) b))))) |
(if (<=.f64 b -860000000000000013594696574933576009110155371969068044158273151406182328796394065590109407905004860003833610240) (neg.f64 (/.f64 b a)) (if (<=.f64 b 136031720810207488/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b))) b) (/.f64 1/2 a)) (if (<=.f64 b 735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) (if (<=.f64 b 5784976959332365/1606938044258990275541962092341162602522202993782792835301376) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b))) b) (/.f64 1/2 a)) (/.f64 (neg.f64 c) b))))) |
(if (<=.f64 b -1062769888367475/87112285931760246646623899502532662132736) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 136031720810207488/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) (if (<=.f64 b 735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) (if (<=.f64 b 5784976959332365/1606938044258990275541962092341162602522202993782792835301376) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) (/.f64 (neg.f64 c) b))))) |
(if (<=.f64 b -1062769888367475/87112285931760246646623899502532662132736) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 136031720810207488/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (/.f64 1/2 a)) (if (<=.f64 b 735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) (if (<=.f64 b 5784976959332365/1606938044258990275541962092341162602522202993782792835301376) (*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (/.f64 1/2 a)) (/.f64 (neg.f64 c) b))))) |
(if (<=.f64 b -5401080421231085/138489241570027830339787760577155329299276713436413040296712132107088403511830081562061637127414005863461524601112396740396934118638271997477005289970188832449072118890235188784327954969769132963403984511490113773016980728775065400466052716630386010092873601750856629835792384) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))) |
(if (<=.f64 b 3974446316289815/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696) (neg.f64 (/.f64 b a)) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c b) |
| Outputs |
|---|
(if (<=.f64 b -860000000000000013594696574933576009110155371969068044158273151406182328796394065590109407905004860003833610240) (neg.f64 (/.f64 b a)) (if (<=.f64 b -6514625173686141/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (if (<=.f64 b 51611515874191217140630021209698462398209327104) (/.f64 (*.f64 -2 c) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b -860000000000000013594696574933576009110155371969068044158273151406182328796394065590109407905004860003833610240) (/.f64 (neg.f64 b) a) (if (<=.f64 b -6514625173686141/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a 4) c)))) (*.f64 a 2)) (if (<=.f64 b 51611515874191217140630021209698462398209327104) (/.f64 (*.f64 c -2) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b -860000000000000013594696574933576009110155371969068044158273151406182328796394065590109407905004860003833610240) (/.f64 (neg.f64 b) a) (if (<=.f64 b -6514625173686141/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b) (*.f64 a 2)) (if (<=.f64 b 51611515874191217140630021209698462398209327104) (/.f64 (*.f64 c -2) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b -860000000000000013594696574933576009110155371969068044158273151406182328796394065590109407905004860003833610240) (neg.f64 (/.f64 b a)) (if (<=.f64 b -7241683770807669/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (if (<=.f64 b 51611515874191217140630021209698462398209327104) (*.f64 (/.f64 -2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) c) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b -860000000000000013594696574933576009110155371969068044158273151406182328796394065590109407905004860003833610240) (/.f64 (neg.f64 b) a) (if (<=.f64 b -7241683770807669/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a 4) c)))) (*.f64 a 2)) (if (<=.f64 b 51611515874191217140630021209698462398209327104) (*.f64 c (/.f64 -2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))))) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b -860000000000000013594696574933576009110155371969068044158273151406182328796394065590109407905004860003833610240) (/.f64 (neg.f64 b) a) (if (<=.f64 b -7241683770807669/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b) (*.f64 a 2)) (if (<=.f64 b 51611515874191217140630021209698462398209327104) (*.f64 c (/.f64 -2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))))) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b -860000000000000013594696574933576009110155371969068044158273151406182328796394065590109407905004860003833610240) (neg.f64 (/.f64 b a)) (if (<=.f64 b 136031720810207488/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (if (<=.f64 b 735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) (if (<=.f64 b 5784976959332365/1606938044258990275541962092341162602522202993782792835301376) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (neg.f64 c) b))))) |
(if (<=.f64 b -860000000000000013594696574933576009110155371969068044158273151406182328796394065590109407905004860003833610240) (/.f64 (neg.f64 b) a) (if (<=.f64 b 531373909414873/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a 4) c)))) (*.f64 a 2)) (if (<=.f64 b 735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) (if (<=.f64 b 5784976959332365/1606938044258990275541962092341162602522202993782792835301376) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a 4) c)))) (*.f64 a 2)) (/.f64 (neg.f64 c) b))))) |
(if (<=.f64 b -860000000000000013594696574933576009110155371969068044158273151406182328796394065590109407905004860003833610240) (/.f64 (neg.f64 b) a) (if (<=.f64 b 531373909414873/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b) (*.f64 a 2)) (if (<=.f64 b 735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) (if (<=.f64 b 5784976959332365/1606938044258990275541962092341162602522202993782792835301376) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b))))) |
(if (<=.f64 b -860000000000000013594696574933576009110155371969068044158273151406182328796394065590109407905004860003833610240) (neg.f64 (/.f64 b a)) (if (<=.f64 b 136031720810207488/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b))) b) (/.f64 1/2 a)) (if (<=.f64 b 735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) (if (<=.f64 b 5784976959332365/1606938044258990275541962092341162602522202993782792835301376) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b))) b) (/.f64 1/2 a)) (/.f64 (neg.f64 c) b))))) |
(if (<=.f64 b -860000000000000013594696574933576009110155371969068044158273151406182328796394065590109407905004860003833610240) (/.f64 (neg.f64 b) a) (if (<=.f64 b 531373909414873/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a)) (if (<=.f64 b 735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) (if (<=.f64 b 5784976959332365/1606938044258990275541962092341162602522202993782792835301376) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a)) (/.f64 (neg.f64 c) b))))) |
(if (<=.f64 b -1062769888367475/87112285931760246646623899502532662132736) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 136031720810207488/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) (if (<=.f64 b 735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) (if (<=.f64 b 5784976959332365/1606938044258990275541962092341162602522202993782792835301376) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) (/.f64 (neg.f64 c) b))))) |
(if (<=.f64 b -1062769888367475/87112285931760246646623899502532662132736) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 531373909414873/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (*.f64 a 2)) (if (<=.f64 b 735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) (if (<=.f64 b 5784976959332365/1606938044258990275541962092341162602522202993782792835301376) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b))))) |
(if (<=.f64 b -1062769888367475/87112285931760246646623899502532662132736) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 136031720810207488/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (/.f64 1/2 a)) (if (<=.f64 b 735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) (if (<=.f64 b 5784976959332365/1606938044258990275541962092341162602522202993782792835301376) (*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (/.f64 1/2 a)) (/.f64 (neg.f64 c) b))))) |
(if (<=.f64 b -1062769888367475/87112285931760246646623899502532662132736) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 531373909414873/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856) (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)) (if (<=.f64 b 735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) (if (<=.f64 b 5784976959332365/1606938044258990275541962092341162602522202993782792835301376) (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)) (/.f64 (neg.f64 c) b))))) |
(if (<=.f64 b -5401080421231085/138489241570027830339787760577155329299276713436413040296712132107088403511830081562061637127414005863461524601112396740396934118638271997477005289970188832449072118890235188784327954969769132963403984511490113773016980728775065400466052716630386010092873601750856629835792384) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))) |
(if (<=.f64 b 3974446316289815/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696) (neg.f64 (/.f64 b a)) (/.f64 (neg.f64 c) b)) |
(if (<=.f64 b 3974446316289815/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696) (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c b) |
| 1× | fuel |
Compiled 811 to 471 computations (41.9% saved)
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