Time bar (total: 41.2s)
| 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)
| 1.1s | 5554× | body | 256 | valid |
| 1.0s | 1177× | body | 2048 | valid |
| 408.0ms | 742× | body | 1024 | valid |
| 314.0ms | 1647× | body | 256 | invalid |
| 300.0ms | 411× | body | 4096 | valid |
| 112.0ms | 372× | body | 512 | valid |
| 2× | egg-herbie |
| 801× | fma-def_binary64 |
| 678× | div-sub_binary64 |
| 478× | associate-/r*_binary64 |
| 440× | distribute-frac-neg_binary64 |
| 353× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 104 |
| 1 | 99 | 88 |
| 2 | 220 | 88 |
| 3 | 446 | 88 |
| 4 | 756 | 88 |
| 5 | 1249 | 88 |
| 6 | 2223 | 88 |
| 7 | 4448 | 88 |
| 8 | 7165 | 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 -1/2 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) a)) |
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) a) -1/2) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (/.f64 -1/2 a)) |
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 4 b) c)))) (*.f64 2 b)) |
(/.f64 (+.f64 (neg.f64 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 -1/2 (/.f64 (-.f64 a (sqrt.f64 (fma.f64 a a (*.f64 b (*.f64 c -4))))) b)) |
(*.f64 (/.f64 (-.f64 a (sqrt.f64 (fma.f64 b (*.f64 c -4) (*.f64 a a)))) b) -1/2) |
(*.f64 (-.f64 a (sqrt.f64 (fma.f64 b (*.f64 c -4) (*.f64 a a)))) (/.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 -1/2 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) c)) |
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) c) -1/2) |
(*.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 -1/2 (/.f64 (-.f64 c (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c)))) a)) |
(*.f64 (/.f64 (-.f64 c (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c)))) a) -1/2) |
(*.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 |
| 681× | div-sub_binary64 |
| 619× | times-frac_binary64 |
| 478× | 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 | 266 | 22 |
| 5 | 435 | 22 |
| 6 | 747 | 22 |
| 7 | 1334 | 22 |
| 8 | 2704 | 22 |
| 9 | 4100 | 22 |
| 10 | 5724 | 22 |
| 11 | 6429 | 22 |
| 12 | 7085 | 22 |
| 13 | 7173 | 22 |
| 14 | 7735 | 22 |
| 15 | 7877 | 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 c (*.f64 a -4)))) b) (*.f64 a 2)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 -4 (*.f64 a c) (*.f64 b b))) 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 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a)) |
Compiled 35 to 22 computations (37.1% 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 |
|---|---|---|
| ▶ | 36.4b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| ▶ | 36.5b | (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a)) |
Compiled 38 to 26 computations (31.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a)) |
| ✓ | 0.8b | (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) |
| ✓ | 26.4b | (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) |
Compiled 60 to 30 computations (50% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | inf | (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) |
| 2.0ms | b | @ | 0 | (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a)) |
| 2.0ms | b | @ | 0 | (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) |
| 1.0ms | a | @ | inf | (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a)) |
| 1.0ms | c | @ | inf | (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) |
| 1× | batch-egg-rewrite |
| 781× | prod-diff_binary64 |
| 636× | log-prod_binary64 |
| 366× | fma-def_binary64 |
| 244× | expm1-udef_binary64 |
| 244× | log1p-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 51 |
| 1 | 280 | 51 |
| 2 | 3646 | 48 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) |
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b)))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) (fma.f64 -1 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) 1 (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4)))))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2))) (sqrt.f64 (cbrt.f64 (pow.f64 b 4))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4)))))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2))) (sqrt.f64 (cbrt.f64 (pow.f64 b 4))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (fma.f64 b 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| 1× | egg-herbie |
| 978× | times-frac_binary64 |
| 970× | fma-def_binary64 |
| 643× | associate-/l*_binary64 |
| 581× | associate-/r*_binary64 |
| 421× | associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 182 | 2075 |
| 1 | 576 | 2019 |
| 2 | 2099 | 1854 |
| 1× | node limit |
| Inputs |
|---|
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 1/2 (*.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)))) |
(*.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 (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 -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)))))) |
(*.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))))) |
| Outputs |
|---|
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) |
(+.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 (*.f64 c c) (pow.f64 b 3)) (*.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 c b) 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))))) |
(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 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (*.f64 c -2) (/.f64 b a))))) |
(+.f64 b (fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))))) |
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) |
(+.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 (*.f64 c c) (pow.f64 b 3)) (*.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 c b) 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))))) |
(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 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (*.f64 c -2) (/.f64 b a))))) |
(+.f64 b (fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))))) |
(*.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 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.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) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (*.f64 b b) 1/2) (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)))))) |
(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 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/2)))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) (pow.f64 c 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 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/2))))) |
(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 (/.f64 b (sqrt.f64 -4)) b)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) (pow.f64 c 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) |
(+.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 (*.f64 c c) (pow.f64 b 3)) (*.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 c b) 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))))) |
(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 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (*.f64 c -2) (/.f64 b a))))) |
(+.f64 b (fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))))) |
(*.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 (*.f64 (*.f64 2 a) c) b) b) |
(-.f64 (/.f64 (*.f64 c 2) (/.f64 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 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 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)))) b) |
(fma.f64 2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (neg.f64 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 (*.f64 (/.f64 c b) a) 2 (-.f64 (fma.f64 2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) 4)) b)) |
(fma.f64 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) 4 (fma.f64 2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (neg.f64 b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 c -2) (/.f64 b a)) |
(*.f64 (/.f64 -2 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 c (/.f64 b a)))) |
(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)))) |
(*.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a))) |
(+.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 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (*.f64 c -2) (/.f64 b a)))) |
(fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 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 c (/.f64 b a)))))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.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 (*.f64 c -2) (/.f64 b a))))) |
(fma.f64 -1/2 (*.f64 (pow.f64 c 4) (/.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) b)) (fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 c -2) (/.f64 b a)) |
(*.f64 (/.f64 -2 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 c (/.f64 b a)))) |
(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)))) |
(*.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a))) |
(+.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 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (*.f64 c -2) (/.f64 b a)))) |
(fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 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 c (/.f64 b a)))))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.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 (*.f64 c -2) (/.f64 b a))))) |
(fma.f64 -1/2 (*.f64 (pow.f64 c 4) (/.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) b)) (fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 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)) 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 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/2)) b)) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (*.f64 b b) 1/2) (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 -4 (sqrt.f64 -4)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/2)) b))) |
(-.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) (pow.f64 c 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 (*.f64 c -2) (/.f64 b a)) |
(*.f64 (/.f64 -2 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 c (/.f64 b a)))) |
(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)))) |
(*.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a))) |
(+.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 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (*.f64 c -2) (/.f64 b a)))) |
(fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 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 a 4) (pow.f64 c 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 c (/.f64 b a)))))) |
(fma.f64 -1/2 (/.f64 (fma.f64 16 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (*.f64 4 (*.f64 (pow.f64 a 4) (pow.f64 c 4)))) (pow.f64 b 7)) (fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (*.f64 c -2) (/.f64 b a))))) |
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) 20) (pow.f64 b 7)) (fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))))) |
(*.f64 -2 b) |
(*.f64 b -2) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) |
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2)) |
(fma.f64 b -2 (/.f64 (*.f64 (*.f64 2 a) c) b)) |
(fma.f64 b -2 (/.f64 (*.f64 c 2) (/.f64 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 c (/.f64 b a)) (fma.f64 -2 b (/.f64 (*.f64 2 (*.f64 (*.f64 c c) (*.f64 a a))) (pow.f64 b 3)))) |
(fma.f64 (*.f64 (/.f64 c b) a) 2 (fma.f64 2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (*.f64 b -2))) |
(fma.f64 b -2 (*.f64 2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)))) |
(+.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 c (/.f64 b a)) (fma.f64 -2 b (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (*.f64 2 (*.f64 (*.f64 c c) (*.f64 a a))) (pow.f64 b 3))))) |
(fma.f64 (*.f64 (/.f64 c b) a) 2 (fma.f64 b -2 (fma.f64 2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) 4)))) |
(+.f64 (fma.f64 b -2 (*.f64 2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)))) (*.f64 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) 4)) |
(*.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 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(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 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 c) b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(-.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (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 (pow.f64 a 3) (/.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)))) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))) |
(-.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 -1/4 (/.f64 b (*.f64 (pow.f64 a 3) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))))))) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(-.f64 (fma.f64 -2 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (pow.f64 c 3)) (*.f64 (/.f64 -1/4 b) (*.f64 (pow.f64 a 3) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 20)))) (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 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(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 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 c) b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(-.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (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 (pow.f64 c 4) (/.f64 (*.f64 b a) (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)))) (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) b) (/.f64 (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 a 4) (pow.f64 b 6)))) a)) (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 c) b))) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 c 4) (*.f64 b a)) (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20)) (-.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c 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 (*.f64 1/2 (sqrt.f64 -4)) (sqrt.f64 (/.f64 c a))) |
(+.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 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (/.f64 -1/2 (/.f64 a b))) |
(fma.f64 (*.f64 1/2 (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 -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 (*.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 a b)))) |
(fma.f64 (sqrt.f64 -4) (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (fma.f64 -1/2 (/.f64 b a) (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (*.f64 1/4 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))))))) |
(+.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 (*.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 (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4))) (*.f64 -1/16 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5))))))))) |
(fma.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (*.f64 1/4 (sqrt.f64 (/.f64 1 (*.f64 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 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3))))) 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 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(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 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 c) b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(-.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (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 a 4) (pow.f64 c 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 a 4) (pow.f64 c 4)) (*.f64 4 (*.f64 (pow.f64 a 4) (pow.f64 c 4)))) (*.f64 a (pow.f64 b 7))) (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 c) b))) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(fma.f64 -1/4 (/.f64 (*.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) 20) (*.f64 a (pow.f64 b 7))) (-.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (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) |
(+.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 (/.f64 (*.f64 c c) (pow.f64 b 3)) a) (-.f64 (/.f64 c b) (/.f64 b a))) |
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) 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 (*.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 (/.f64 (*.f64 c c) (pow.f64 b 3)) a) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))))) |
(-.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 2 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (pow.f64 c 3)) (/.f64 c b))) (/.f64 b a)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| ✓ | 0.4b | (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) |
| ✓ | 0.8b | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) |
| ✓ | 26.4b | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) |
Compiled 73 to 38 computations (47.9% saved)
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | 0 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) |
| 0.0ms | a | @ | 0 | (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) |
| 0.0ms | a | @ | inf | (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) |
| 0.0ms | b | @ | 0 | (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) |
| 0.0ms | a | @ | -inf | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) |
| 1× | batch-egg-rewrite |
| 823× | log-prod_binary64 |
| 734× | fma-def_binary64 |
| 373× | fma-neg_binary64 |
| 278× | expm1-udef_binary64 |
| 278× | log1p-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 74 |
| 1 | 342 | 62 |
| 2 | 4924 | 59 |
| 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 b b) (*.f64 (*.f64 4 a) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| Outputs |
|---|
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(*.f64 a a)))) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 2)) (sqrt.f64 (+.f64 a a))) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 a -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 a -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 a -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 a -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 a -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 a -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 3) (pow.f64 (+.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 a -2))) 1)))))) |
| 1× | egg-herbie |
| 978× | times-frac_binary64 |
| 978× | fma-def_binary64 |
| 644× | associate-/l*_binary64 |
| 579× | associate-/r*_binary64 |
| 421× | associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 184 | 2477 |
| 1 | 582 | 2367 |
| 2 | 2117 | 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 -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 (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 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 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 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))))) |
(+.f64 (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) b) (*.f64 -2 (fma.f64 (/.f64 c (/.f64 (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 (/.f64 2 b) (*.f64 c 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 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 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 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 (/.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 b 5) (pow.f64 c 3))) (-.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))) |
(+.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 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 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 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))))) |
(+.f64 (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) b) (*.f64 -2 (fma.f64 (/.f64 c (/.f64 (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 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 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 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))))) |
(+.f64 (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) b) (*.f64 -2 (fma.f64 (/.f64 c (/.f64 (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 -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 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 c (/.f64 b a))))) |
(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 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (*.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)))) |
(+.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 c (/.f64 b a)))))) |
(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 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (*.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c))))) |
(*.f64 -2 b) |
(*.f64 b -2) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) |
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2)) |
(fma.f64 b -2 (/.f64 2 (/.f64 b (*.f64 c a)))) |
(fma.f64 b -2 (*.f64 (/.f64 2 b) (*.f64 c 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 c (/.f64 b a)) (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 b -2 (*.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 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 c (/.f64 b a)) (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)))))) |
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(*.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))) |
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(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 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (*.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)))) |
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(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 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 (/.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 (pow.f64 c 4) b) (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20)) (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (*.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c))))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
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(/.f64 -2 (/.f64 b (*.f64 c a))) |
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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 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c))) |
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(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 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a))))) |
(fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (*.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 -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 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 (/.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 (pow.f64 c 4) b) (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20)) (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (*.f64 -2 (fma.f64 (/.f64 c (/.f64 (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)) |
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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))) |
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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))) |
(+.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))) |
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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))) |
(+.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))) |
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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)) |
(*.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) |
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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))) |
(+.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))) |
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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))) |
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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))) |
(+.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 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)) |
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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 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2) (*.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 1 (*.f64 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 -1/2 (/.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 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3))) (*.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 1 (*.f64 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))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b))) |
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))) |
(neg.f64 (fma.f64 (/.f64 c (/.f64 (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 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.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 c (/.f64 (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 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.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 c (/.f64 (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 c (/.f64 (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 c b) (+.f64 (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (neg.f64 (/.f64 b a))) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))) |
(-.f64 (fma.f64 (/.f64 c (/.f64 (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))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b))) |
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))) |
(neg.f64 (fma.f64 (/.f64 c (/.f64 (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 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.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 c (/.f64 (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 (pow.f64 a 3) (/.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)))) (*.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 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))) (/.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 c (/.f64 (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))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b))) |
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))) |
(neg.f64 (fma.f64 (/.f64 c (/.f64 (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 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.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 c (/.f64 (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 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 c) b))) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))) |
(fma.f64 -1/4 (/.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) (/.f64 a (/.f64 (pow.f64 c 4) b))) (-.f64 (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))) |
Compiled 18806 to 11500 computations (38.8% saved)
26 alts after pruning (25 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 648 | 25 | 673 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 649 | 26 | 675 |
| Status | Error | Program |
|---|---|---|
| 44.9b | (*.f64 (-.f64 (-.f64 (/.f64 (*.f64 c 2) (/.f64 b a)) b) b) (/.f64 1/2 a)) | |
| 40.6b | (/.f64 (neg.f64 c) b) | |
| ▶ | 47.5b | (*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) |
| 36.6b | (*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2) b) (/.f64 1/2 a)) | |
| ✓ | 36.4b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| 44.7b | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| 57.2b | (/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (*.f64 (/.f64 a b) c) b)) (*.f64 2 a)) | |
| ▶ | 44.5b | (/.f64 (neg.f64 b) a) |
| 47.5b | (pow.f64 (*.f64 2 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) -1) | |
| 46.0b | (/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a)) | |
| 45.4b | (/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2))) (*.f64 2 a)) | |
| 57.2b | (*.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b) (/.f64 1/2 a)) | |
| 46.0b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) | |
| ▶ | 45.9b | (*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a)) |
| 39.5b | (/.f64 (+.f64 (neg.f64 b) (exp.f64 (*.f64 (log.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 1/2))) (*.f64 2 a)) | |
| 45.9b | (*.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 1/2 a)) | |
| 45.4b | (*.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2)) b) (/.f64 1/2 a)) | |
| 48.6b | (/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (*.f64 2 a)) | |
| ▶ | 34.7b | (/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2))) |
| 44.6b | (*.f64 (*.f64 b -2) (/.f64 1/2 a)) | |
| ▶ | 46.9b | (*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2) 1/3) b) (/.f64 1/2 a)) |
| 46.5b | (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) | |
| 47.2b | (*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a)) | |
| 47.6b | (pow.f64 (sqrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 a -2))) 2) | |
| 57.2b | (*.f64 (-.f64 b b) (/.f64 1/2 a)) | |
| 46.4b | (/.f64 (*.f64 (/.f64 1/2 a) (-.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 b b))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) |
Compiled 864 to 610 computations (29.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2)) |
| ✓ | 0.1b | (/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2))) |
| ✓ | 0.7b | (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) |
| ✓ | 15.6b | (sqrt.f64 (*.f64 (*.f64 a c) -4)) |
Compiled 83 to 46 computations (44.6% saved)
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | c | @ | inf | (/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2))) |
| 13.0ms | c | @ | -inf | (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2)) |
| 6.0ms | a | @ | inf | (/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2))) |
| 6.0ms | c | @ | inf | (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2)) |
| 4.0ms | a | @ | 0 | (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) |
| 1× | batch-egg-rewrite |
| 804× | log-prod_binary64 |
| 579× | prod-diff_binary64 |
| 276× | expm1-udef_binary64 |
| 276× | log1p-udef_binary64 |
| 244× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 69 |
| 1 | 323 | 66 |
| 2 | 4221 | 66 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (*.f64 a c) -4)) |
(-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) |
(/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2))) |
(/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 a 1/2) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) 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 a (*.f64 c -4))) b) b)))) (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) 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 a (*.f64 c -4))) b) b))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 a 1/2) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (/.f64 2 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1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)) (/.f64 (cbrt.f64 a) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)) (/.f64 (sqrt.f64 a) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) 1/2) (/.f64 (sqrt.f64 a) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 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 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 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 (pow.f64 (cbrt.f64 a) 2) 1/2) (/.f64 (cbrt.f64 a) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 1/4 (pow.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 2)))) (/.f64 a (cbrt.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) 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 a (*.f64 c -4))) b) b) 2)))) (cbrt.f64 (/.f64 (/.f64 a 1/2) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) 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 a (*.f64 c -4))) b) b) 2)))) (/.f64 (sqrt.f64 a) (cbrt.f64 (*.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 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1/2))) (/.f64 a (sqrt.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 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#<rule egg-rr> (2) ((x neg.f64 (/.f64 a (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 a 1/2) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) 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 a (*.f64 c -4))) b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 a 1/2) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 a 1/2) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) 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 a (*.f64 c -4))) b) b) 1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 a 1/2) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 a 1/2) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 a 1/2) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 a 1/2) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b))) 1)))))) |
| 1× | egg-herbie |
| 825× | associate-/r*_binary64 |
| 635× | unswap-sqr_binary64 |
| 444× | associate-*l/_binary64 |
| 393× | associate-*r/_binary64 |
| 257× | associate-+l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 222 | 1791 |
| 1 | 688 | 1412 |
| 2 | 2828 | 1348 |
| 3 | 7352 | 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)) 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 (sqrt.f64 -4) (*.f64 b b)))) b)) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b 1/2) (/.f64 (sqrt.f64 -4) b))) 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 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (sqrt.f64 -4) (*.f64 b b)))) 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 b 1/2) (/.f64 (sqrt.f64 -4) b))) 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 b 1/2) (/.f64 (sqrt.f64 -4) b)) (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 b (*.f64 a (*.f64 c -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 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 (*.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3))) |
(fma.f64 1/2 (*.f64 (*.f64 (/.f64 -4 b) c) a) (/.f64 (*.f64 (*.f64 c (*.f64 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 (*.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3)) (fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (*.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64))))) |
(+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a 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)) (/.f64 1/2 (/.f64 b (*.f64 a (*.f64 c -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 1/16 (/.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 (*.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 (*.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 (*.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 (/.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 (*.f64 c a) (*.f64 c a)) -2) 2)) (pow.f64 b 7)))))) |
(+.f64 (fma.f64 1/2 (*.f64 (*.f64 (/.f64 -4 b) c) a) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a 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)) (*.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)))))) |
(*.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 b -2 (*.f64 (/.f64 (*.f64 -1/2 c) b) (*.f64 a -4))) |
(+.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 1/8 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (pow.f64 b 3)))) |
(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 c c) (/.f64 (pow.f64 b 3) (*.f64 a (*.f64 a 16)))) 1/8 (*.f64 (/.f64 (*.f64 -1/2 c) b) (*.f64 a -4)))) |
(+.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 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) -1/16)))) |
(fma.f64 b -2 (fma.f64 (*.f64 (*.f64 (/.f64 -4 b) c) a) -1/2 (fma.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (*.f64 a 16)))) 1/8 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) -1/16) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64))))) |
(*.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 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)))) |
(+.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 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 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (*.f64 (pow.f64 b 4) -1/16) (*.f64 (sqrt.f64 -4) -4)))))) |
(*.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 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) (/.f64 (*.f64 -1 c) b)) |
(fma.f64 -1/16 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 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 (*.f64 (pow.f64 c 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))) |
(+.f64 (/.f64 (*.f64 -1 c) b) (fma.f64 -1/16 (*.f64 (/.f64 (*.f64 c c) (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 (fma.f64 -1/16 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) (/.f64 (neg.f64 c) b)) (*.f64 (/.f64 1/32 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (*.f64 a (*.f64 a -64))))) |
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(+.f64 (-.f64 (/.f64 (*.f64 (*.f64 -1 c) (*.f64 a a)) (pow.f64 b 3)) (/.f64 a b)) (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 (neg.f64 c) (*.f64 a a)) (pow.f64 b 3)) (-.f64 (fma.f64 2 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 4)) -5/2) (pow.f64 b 7)) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 a 3) (*.f64 c c)) (pow.f64 b 5)) 16))) (/.f64 a b))) |
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 a 3) (*.f64 c c)) (pow.f64 b 5)) 16) (/.f64 (*.f64 (neg.f64 c) (*.f64 a a)) (pow.f64 b 3))) (fma.f64 (/.f64 2 (pow.f64 b 7)) (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 4)) -5/2) (/.f64 (neg.f64 a) b))) |
Compiled 11 to 5 computations (54.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 4.9b | (*.f64 (/.f64 -2 b) (*.f64 c a)) |
| ✓ | 9.8b | (*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a)) |
Compiled 35 to 19 computations (45.7% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | inf | (*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a)) |
| 1.0ms | c | @ | 0 | (*.f64 (/.f64 -2 b) (*.f64 c a)) |
| 1.0ms | b | @ | inf | (*.f64 (/.f64 -2 b) (*.f64 c a)) |
| 1.0ms | b | @ | 0 | (*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a)) |
| 1.0ms | b | @ | 0 | (*.f64 (/.f64 -2 b) (*.f64 c a)) |
| 1× | batch-egg-rewrite |
| 627× | log-prod_binary64 |
| 435× | pow-prod-down_binary64 |
| 308× | pow2_binary64 |
| 267× | pow-unpow_binary64 |
| 220× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 26 |
| 1 | 241 | 26 |
| 2 | 3096 | 26 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 -2 b) (*.f64 (*.f64 c a) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -2 b)) (*.f64 (*.f64 c a) (/.f64 1/2 a)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -2 b)) (*.f64 (*.f64 c a) (/.f64 1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 -2 b)) (*.f64 (*.f64 c a) (/.f64 1/2 a))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 -2 b)) (*.f64 (*.f64 c a) (/.f64 1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 -2 b) (*.f64 (*.f64 c a) (/.f64 1/2 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 a 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 (/.f64 -2 b) (*.f64 (*.f64 c a) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (*.f64 c a)) (*.f64 (*.f64 a 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -2 b) (*.f64 (*.f64 c a) 1/2)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c a) (/.f64 1/2 a)) (*.f64 b -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 -2 b) (*.f64 (*.f64 c a) 1/2))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -2 (*.f64 c a)) 1/2) (*.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -2 (*.f64 c a)) 1) (*.f64 b (*.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -2 (*.f64 c a)) -1/2) (*.f64 b (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (*.f64 -2 (*.f64 c a))) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (*.f64 -2 (*.f64 c a))) (*.f64 (neg.f64 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 -2 b) (*.f64 (*.f64 c a) 1/2)) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 -2 b) (*.f64 (*.f64 c a) 1/2)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 -2 b) (*.f64 (*.f64 c a) 1/2)) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (*.f64 (*.f64 c a) (/.f64 1/2 a))) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 c a) (/.f64 1/2 a))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -2 (*.f64 c a)) (/.f64 1/2 a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (*.f64 -2 (/.f64 (*.f64 c a) b))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) -1/2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 a) (*.f64 -2 (*.f64 c a))) b)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 -2 b) (*.f64 (*.f64 c a) (/.f64 1/2 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 -2 b) (*.f64 (*.f64 c a) (/.f64 1/2 a))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 -2 b) (*.f64 (*.f64 c a) (/.f64 1/2 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 -2 b) (*.f64 (*.f64 c a) (/.f64 1/2 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 -2 b) (*.f64 (*.f64 c a) (/.f64 1/2 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 (/.f64 -2 b) (*.f64 (*.f64 c a) 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 -2 b) (*.f64 (*.f64 c a) (/.f64 1/2 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 -2 b)) (*.f64 (*.f64 c a) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 -2 b) (*.f64 (*.f64 c a) (/.f64 1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 -2 b) (*.f64 (*.f64 c a) (/.f64 1/2 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 -2 b) (*.f64 (*.f64 c a) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 -2 b) (*.f64 (*.f64 c a) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 -2 b) (*.f64 (*.f64 c a) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 -2 b) (*.f64 (*.f64 c a) (/.f64 1/2 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 -2 b) (*.f64 (*.f64 c a) (/.f64 1/2 a))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 -2 b) (*.f64 (*.f64 c a) (/.f64 1/2 a))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 -2 b) (*.f64 (*.f64 c a) (/.f64 1/2 a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 -2 b) (*.f64 (*.f64 c a) (/.f64 1/2 a)))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2 (/.f64 (*.f64 c a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c) (*.f64 a (/.f64 -2 b)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c) (*.f64 a (/.f64 -2 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c) (*.f64 a (/.f64 -2 b))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c) (*.f64 a (/.f64 -2 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 b (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c a) (*.f64 b -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 -2 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (*.f64 c a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -2 (*.f64 c a))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 (*.f64 c a)) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 (*.f64 c a)) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 c a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c a) 2) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 (*.f64 c a) b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 (*.f64 c a) b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (*.f64 -2 (*.f64 c a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c) (*.f64 a (/.f64 -2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 (*.f64 c a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 (*.f64 c a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (/.f64 (*.f64 c a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2 (/.f64 (*.f64 c a) b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -2 (/.f64 (*.f64 c a) b))) 1) 1)))))) |
| 1× | egg-herbie |
| 100× | fma-def_binary64 |
| 24× | fma-neg_binary64 |
| 19× | *-commutative_binary64 |
| 17× | associate-/l*_binary64 |
| 16× | distribute-rgt-in_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 | 344 | 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 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c -2)) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c -2)) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c -2)) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c -2)) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c -2)) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c -2)) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c -2)) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c -2)) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c -2)) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c -2)) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c -2)) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c -2)) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c -2)) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c -2)) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c -2)) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c -2)) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c -2)) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c -2)) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c -2)) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c -2)) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c -2)) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c -2)) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c -2)) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c -2)) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c -2)) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c -2)) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c -2)) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c -2)) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c -2)) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c -2)) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c -2)) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c -2)) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c -2)) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c -2)) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c -2)) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c -2)) b) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) |
| ✓ | 0.2b | (*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) |
| ✓ | 1.0b | (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) |
| ✓ | 15.6b | (sqrt.f64 (*.f64 c (*.f64 a -4))) |
Compiled 57 to 36 computations (36.8% saved)
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | a | @ | -inf | (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) |
| 1.0ms | a | @ | inf | (*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) |
| 1.0ms | c | @ | inf | (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) |
| 1.0ms | a | @ | inf | (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) |
| 1.0ms | c | @ | inf | (*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) |
| 1× | batch-egg-rewrite |
| 962× | prod-diff_binary64 |
| 707× | log-prod_binary64 |
| 291× | fma-def_binary64 |
| 251× | expm1-udef_binary64 |
| 251× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 57 |
| 1 | 288 | 57 |
| 2 | 3881 | 57 |
| 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 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) |
(hypot.f64 b (sqrt.f64 (*.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 expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(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 -.f64 (exp.f64 (log1p.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b b) (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b))) (/.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b))) (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b))) 2) (cbrt.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b))))))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b))) (cbrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)) (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) (cbrt.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)) 1)))))) |
| 1× | egg-herbie |
| 953× | times-frac_binary64 |
| 711× | associate-/l*_binary64 |
| 673× | fma-def_binary64 |
| 603× | unswap-sqr_binary64 |
| 526× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 1600 |
| 1 | 497 | 1334 |
| 2 | 1776 | 1283 |
| 3 | 7264 | 1283 |
| 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 b 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 -1/16 (*.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 (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 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) 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)) 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)) b))) |
(*.f64 -1 b) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 -1 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 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 (*.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 b)))) |
b |
b |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.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) |
(+.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 1 (*.f64 c a))) (*.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)) |
(+.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 1 (*.f64 c a))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/2)))) |
(+.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 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 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) (*.f64 b 2)) |
(fma.f64 1/2 (*.f64 (/.f64 c 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 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) (*.f64 b 2))) |
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (*.f64 b 2)) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3))) |
(fma.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b)) (fma.f64 b 2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (/.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 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 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) (*.f64 b 2)))) |
(+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b 5) (pow.f64 a 3)) -64)) (fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (*.f64 b 2)))) |
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b 5) -64) (pow.f64 a 3))) (fma.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b)) (fma.f64 b 2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (/.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 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) b) |
(*.f64 (*.f64 (/.f64 c 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 -1/2 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) b)) |
(fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (/.f64 1/8 (/.f64 (pow.f64 b 3) (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) 16))))) |
(fma.f64 (*.f64 (*.f64 a -4) (/.f64 c b)) -1/2 (*.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) 16))) c) 1/8)) |
(+.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 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) (/.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 (/.f64 c b) (*.f64 a -4)) -1/2 (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b 5) (pow.f64 a 3)) -64)) -1/16))) |
(fma.f64 (*.f64 (*.f64 a -4) (/.f64 c b)) -1/2 (fma.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) 16))) c) 1/8 (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b 5) -64) (pow.f64 a 3))) -1/16))) |
(+.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 (*.f64 c (*.f64 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 (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 (/.f64 c 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 c (*.f64 c (*.f64 a a))) -2) 2)) (pow.f64 b 7)) (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b 5) (pow.f64 a 3)) -64)) -1/16)))) |
(fma.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) 16))) c) 1/8 (fma.f64 (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b 5) -64) (pow.f64 a 3))) -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))))))) |
(*.f64 2 b) |
(*.f64 b 2) |
(*.f64 2 b) |
(*.f64 b 2) |
(/.f64 b a) |
(*.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 (*.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 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (*.f64 1/4 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))))) |
(fma.f64 1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (*.f64 1/4 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))))) |
(+.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 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (pow.f64 b 4)) (pow.f64 (sqrt.f64 -4) 3)) (*.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 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (*.f64 1/4 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (*.f64 (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4)) -1/16))) |
(fma.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (*.f64 1/4 (sqrt.f64 (/.f64 1 (*.f64 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 a 5)) (pow.f64 c 3)))))))) |
(/.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 (*.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 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))))) |
(+.f64 (/.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 (neg.f64 c) b) (fma.f64 -1/16 (*.f64 (/.f64 (*.f64 a 16) (pow.f64 b 3)) (*.f64 c c)) (/.f64 b a))) |
(+.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 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))))))) |
(+.f64 (+.f64 (/.f64 b a) (/.f64 (*.f64 -1 c) b)) (fma.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a 16))) (/.f64 (*.f64 (*.f64 1/32 (*.f64 a (*.f64 a -64))) (pow.f64 c 3)) (pow.f64 b 5)))) |
(+.f64 (fma.f64 1/32 (*.f64 (*.f64 (*.f64 a a) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 (neg.f64 c) b)) (fma.f64 -1/16 (*.f64 (/.f64 (*.f64 a 16) (pow.f64 b 3)) (*.f64 c c)) (/.f64 b a))) |
(*.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 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) -1/4)) |
(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 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 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 (/.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 c c) (/.f64 (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 1/16 (*.f64 (/.f64 (*.f64 a 16) (pow.f64 b 3)) (*.f64 c c)) (fma.f64 (*.f64 (*.f64 (*.f64 a a) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) -1/32 (/.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 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 1/4 (/.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 c c) (/.f64 (pow.f64 b 3) (*.f64 a 16))) (/.f64 (*.f64 1 c) b)) (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 (pow.f64 c 3) -1/32) (/.f64 (pow.f64 b 5) (*.f64 a (*.f64 a -64)))))) |
(fma.f64 1/16 (*.f64 (/.f64 (*.f64 a 16) (pow.f64 b 3)) (*.f64 c c)) (fma.f64 (/.f64 1/4 (pow.f64 b 7)) (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) a) (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 (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 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/2))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 1/2 (*.f64 (/.f64 b (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 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 (sqrt.f64 -4) -4))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/2)))) |
(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 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 (*.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 a 5) (pow.f64 c 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 (sqrt.f64 -4) -4))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (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 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/2))))) |
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 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 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 |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) b) |
(fma.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) b) |
(fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) b) |
(fma.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b)) 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)) 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 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) b)) |
(+.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)) b)) |
(fma.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b)) (+.f64 b (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (/.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)) 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 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) b))) |
(+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b 5) (pow.f64 a 3)) -64)) (fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) b))) |
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b 5) -64) (pow.f64 a 3))) (fma.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b)) (+.f64 b (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (/.f64 (pow.f64 b 3) -2))))) |
(*.f64 -1 b) |
(neg.f64 b) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 -1 b)) |
(fma.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) (neg.f64 b)) |
(-.f64 (*.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2) b) |
(-.f64 (*.f64 (/.f64 -1/2 b) (*.f64 (*.f64 c a) -4)) b) |
(fma.f64 (/.f64 -1/2 b) (*.f64 (*.f64 c a) -4) (neg.f64 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 b))) |
(fma.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)))) (neg.f64 b))) |
(-.f64 (fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (/.f64 1/8 (/.f64 (pow.f64 b 3) (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) 16))))) b) |
(-.f64 (fma.f64 (*.f64 (*.f64 a -4) (/.f64 c b)) -1/2 (*.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) 16))) c) 1/8)) b) |
(fma.f64 (*.f64 (*.f64 a -4) (/.f64 c b)) -1/2 (fma.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) 16))) c) 1/8 (neg.f64 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 (*.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 b)))) |
(fma.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)))) (neg.f64 b)))) |
(fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 (*.f64 a a) 16)) 1/8 (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b 5) (pow.f64 a 3)) -64)) -1/16)) b)) |
(-.f64 (fma.f64 (*.f64 (*.f64 a -4) (/.f64 c b)) -1/2 (fma.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) 16))) c) 1/8 (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b 5) -64) (pow.f64 a 3))) -1/16))) b) |
(fma.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) 16))) c) 1/8 (fma.f64 (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b 5) -64) (pow.f64 a 3))) -1/16 (fma.f64 (/.f64 -1/2 b) (*.f64 (*.f64 c a) -4) (neg.f64 b)))) |
b |
b |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2) 1/3) b) (/.f64 1/2 a)) |
| ✓ | 0.5b | (fma.f64 b b (*.f64 (*.f64 a c) -4)) |
| ✓ | 21.5b | (-.f64 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2) 1/3) b) |
| ✓ | 38.4b | (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2) 1/3) |
Compiled 83 to 46 computations (44.6% saved)
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | a | @ | inf | (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2) 1/3) |
| 16.0ms | c | @ | 0 | (*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2) 1/3) b) (/.f64 1/2 a)) |
| 14.0ms | c | @ | -inf | (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2) 1/3) |
| 10.0ms | a | @ | inf | (*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2) 1/3) b) (/.f64 1/2 a)) |
| 8.0ms | c | @ | inf | (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2) 1/3) |
| 1× | batch-egg-rewrite |
| 752× | log-prod_binary64 |
| 648× | prod-diff_binary64 |
| 304× | fma-def_binary64 |
| 290× | expm1-udef_binary64 |
| 290× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 65 |
| 1 | 358 | 59 |
| 2 | 4399 | 59 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2) 1/3) |
(-.f64 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2) 1/3) b) |
(fma.f64 b b (*.f64 (*.f64 a c) -4)) |
(*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2) 1/3) b) (/.f64 1/2 a)) |
| Outputs |
|---|
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(#(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 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 |
| 784× | fma-def_binary64 |
| 443× | associate-*l*_binary64 |
| 422× | times-frac_binary64 |
| 411× | associate-/r*_binary64 |
| 320× | associate-/l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 716 | 16463 |
| 1 | 2478 | 14324 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (sqrt.f64 -64) (pow.f64 b 2)) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (sqrt.f64 -64) (pow.f64 b 2)) (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 3/128 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -64))) (*.f64 3/64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 (sqrt.f64 -64) 2) (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 4)) (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (sqrt.f64 -64) (pow.f64 b 2)) (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 1/1024 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -64))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 -64) (-.f64 (*.f64 3/128 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -64))) (*.f64 3/64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 (sqrt.f64 -64) 2) (pow.f64 (sqrt.f64 -4) 3)))))) (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 3))))) (*.f64 -1/512 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 (sqrt.f64 -64) 3) (pow.f64 (sqrt.f64 -4) 6)))))) (pow.f64 b 6)) (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 3/128 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -64))) (*.f64 3/64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 (sqrt.f64 -64) 2) (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 4)) (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))))))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 18 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 b 3)))) (*.f64 -12 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 b 3))))) (*.f64 12 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 b 3))))) (pow.f64 b 6))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 18 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 b 3)))) (*.f64 -12 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 b 3))))) (*.f64 12 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 b 3))))) (pow.f64 b 6))) (+.f64 b (+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 72 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 b 3)))) (+.f64 (*.f64 -36 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 b 3)))) (*.f64 -32 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 b 3)))))) (+.f64 (*.f64 -4 (*.f64 c (*.f64 a (-.f64 (+.f64 (*.f64 18 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 b 3)))) (*.f64 -12 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 b 3))))) (*.f64 12 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 b 3)))))))) (*.f64 -8 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 b 3)))))) (pow.f64 b 8))) (*.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 1/3 (/.f64 (-.f64 (+.f64 (*.f64 12 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 b 3)))) (*.f64 -18 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 b 3))))) (*.f64 -12 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 b 3))))) (pow.f64 b 6))) (*.f64 -1 b))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 32 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 b 3)))) (+.f64 (*.f64 36 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 b 3)))) (*.f64 -72 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 b 3)))))) (+.f64 (*.f64 -4 (*.f64 c (*.f64 a (-.f64 (+.f64 (*.f64 12 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 b 3)))) (*.f64 -18 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 b 3))))) (*.f64 -12 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 b 3)))))))) (*.f64 8 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 b 3)))))) (pow.f64 b 8))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 12 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 b 3)))) (*.f64 -18 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 b 3))))) (*.f64 -12 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 b 3))))) (pow.f64 b 6))) (*.f64 -1 b)))) |
b |
(+.f64 (*.f64 -2 (*.f64 (*.f64 c a) (pow.f64 (*.f64 1 b) 1/3))) b) |
(+.f64 (*.f64 -2 (*.f64 (*.f64 c a) (pow.f64 (*.f64 1 b) 1/3))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 a 2) (-.f64 (*.f64 (+.f64 (*.f64 18 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -12 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 b 3)) (*.f64 12 (*.f64 (pow.f64 c 2) (pow.f64 (*.f64 1 (pow.f64 b 5)) 1/3))))) (pow.f64 b 2))) b)) |
(+.f64 (*.f64 -2 (*.f64 (*.f64 c a) (pow.f64 (*.f64 1 b) 1/3))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 a 3) (-.f64 (*.f64 (+.f64 (*.f64 72 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (*.f64 -36 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (*.f64 -32 (/.f64 (pow.f64 c 3) (pow.f64 b 6))))) (pow.f64 b 3)) (+.f64 (*.f64 -8 (*.f64 (pow.f64 c 3) b)) (*.f64 -4 (*.f64 (*.f64 c (-.f64 (*.f64 (+.f64 (*.f64 18 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -12 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 b 3)) (*.f64 12 (*.f64 (pow.f64 c 2) (pow.f64 (*.f64 1 (pow.f64 b 5)) 1/3))))) (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3)))))) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 a 2) (-.f64 (*.f64 (+.f64 (*.f64 18 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -12 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 b 3)) (*.f64 12 (*.f64 (pow.f64 c 2) (pow.f64 (*.f64 1 (pow.f64 b 5)) 1/3))))) (pow.f64 b 2))) b))) |
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 1/3) |
(+.f64 (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 b 2) (*.f64 c a)) (pow.f64 (*.f64 1 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 7)) 1/9))) (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 1/3)) |
(+.f64 (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 b 2) (*.f64 c a)) (pow.f64 (*.f64 1 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 7)) 1/9))) (+.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)) 1/3) (/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (+.f64 (*.f64 9/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 -3/64 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (*.f64 3/64 (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 c 2)) (pow.f64 (*.f64 1 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 17)) 1/9)))) (pow.f64 a 2)))))) |
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(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 1/3) |
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b |
(+.f64 (*.f64 -2 (*.f64 (*.f64 c a) (pow.f64 (*.f64 1 b) 1/3))) b) |
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(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 1/3) |
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(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 1/3) |
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(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)) |
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(*.f64 -1 b) |
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(*.f64 -1 b) |
(*.f64 2 (*.f64 -1 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (*.f64 -1 b))) |
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(*.f64 -2 (*.f64 (*.f64 c a) (pow.f64 (*.f64 1 b) 1/3))) |
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(-.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 1/3) b) |
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(-.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 1/3) b) |
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(*.f64 -2 (*.f64 (*.f64 c a) (pow.f64 (*.f64 1 b) 1/3))) |
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(pow.f64 b 2) |
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(pow.f64 b 2) |
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(pow.f64 b 2) |
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(pow.f64 b 2) |
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(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 1/3) b) a)) |
(+.f64 (*.f64 -1/16 (*.f64 (/.f64 (pow.f64 b 2) (*.f64 c (pow.f64 a 2))) (pow.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 7) 1) 1/9))) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 1/3) b) a))) |
(+.f64 (*.f64 -1/16 (*.f64 (/.f64 (pow.f64 b 2) (*.f64 c (pow.f64 a 2))) (pow.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 7) 1) 1/9))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 1/3) b) a)) (*.f64 1/6 (*.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (*.f64 9/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -3/64 (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (*.f64 3/64 (*.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 17) 1) 1/9) (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (*.f64 (pow.f64 c 2) a)) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) 1/3))))) |
(+.f64 (*.f64 -1/16 (*.f64 (/.f64 (pow.f64 b 2) (*.f64 c (pow.f64 a 2))) (pow.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 7) 1) 1/9))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 1/3) b) a)) (+.f64 (*.f64 1/6 (*.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (*.f64 9/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -3/64 (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (*.f64 3/64 (*.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 17) 1) 1/9) (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (*.f64 (pow.f64 c 2) a)) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) 1/3))) (*.f64 1/6 (*.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (*.f64 9/512 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 -9/1024 (/.f64 (pow.f64 b 6) (pow.f64 a 3)))))) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 4) 1) 1/9) (/.f64 (*.f64 (pow.f64 b 2) (-.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (*.f64 9/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -3/64 (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (*.f64 3/64 (*.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 17) 1) 1/9) (/.f64 (pow.f64 b 4) (pow.f64 a 2)))))) a))) (*.f64 -1/512 (*.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 7) 1) 1/3) (/.f64 (pow.f64 b 6) (pow.f64 a 3)))))) (*.f64 (pow.f64 c 3) a)) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) 1/3)))))) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 1/3) b) a)) |
(+.f64 (*.f64 -1/16 (*.f64 (/.f64 (pow.f64 b 2) (*.f64 c (pow.f64 a 2))) (pow.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 7) 1) 1/9))) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 1/3) b) a))) |
(+.f64 (*.f64 -1/16 (*.f64 (/.f64 (pow.f64 b 2) (*.f64 c (pow.f64 a 2))) (pow.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 7) 1) 1/9))) (+.f64 (*.f64 1/6 (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 9/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -3/64 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))) (*.f64 3/64 (*.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 17) 1) 1/9) (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (*.f64 (pow.f64 c 2) a)) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) 1/3))) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 1/3) b) a)))) |
(+.f64 (*.f64 -1/6 (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/128 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 -9/512 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 9/1024 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))) (+.f64 (*.f64 1/512 (*.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 7) 1) 1/3) (/.f64 (pow.f64 b 6) (pow.f64 a 3)))) (*.f64 1/4 (*.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 4) 1) 1/9) (/.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 9/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -3/64 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))) (*.f64 3/64 (*.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 17) 1) 1/9) (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (pow.f64 b 2)) a))))) (*.f64 (pow.f64 c 3) a)) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) 1/3))) (+.f64 (*.f64 -1/16 (*.f64 (/.f64 (pow.f64 b 2) (*.f64 c (pow.f64 a 2))) (pow.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 7) 1) 1/9))) (+.f64 (*.f64 1/6 (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 9/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -3/64 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))) (*.f64 3/64 (*.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 17) 1) 1/9) (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (*.f64 (pow.f64 c 2) a)) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) 1/3))) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 1/3) b) a))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (sqrt.f64 -64) (pow.f64 b 2)) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (sqrt.f64 -64) (*.f64 b b)) (pow.f64 (sqrt.f64 -4) 2))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (*.f64 (/.f64 (sqrt.f64 -64) -4) (*.f64 b b)) -1/8))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (sqrt.f64 -64) (pow.f64 b 2)) (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 3/128 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -64))) (*.f64 3/64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 (sqrt.f64 -64) 2) (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 4)) (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (sqrt.f64 -64) (*.f64 b b)) (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/3 (*.f64 (/.f64 (+.f64 (*.f64 3/128 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -64))) (*.f64 -3/64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 (sqrt.f64 -64) 2) (pow.f64 (sqrt.f64 -4) 3))))) c) (/.f64 (pow.f64 b 4) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 (sqrt.f64 -64) -4) (*.f64 b b))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (/.f64 (fma.f64 3/128 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 16 (sqrt.f64 -4))) -3/64)) c) (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a -4)) 1/3)))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (sqrt.f64 -64) (pow.f64 b 2)) (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 1/1024 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -64))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 -64) (-.f64 (*.f64 3/128 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -64))) (*.f64 3/64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 (sqrt.f64 -64) 2) (pow.f64 (sqrt.f64 -4) 3)))))) (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 3))))) (*.f64 -1/512 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 (sqrt.f64 -64) 3) (pow.f64 (sqrt.f64 -4) 6)))))) (pow.f64 b 6)) (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 3/128 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -64))) (*.f64 3/64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 (sqrt.f64 -64) 2) (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 4)) (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (sqrt.f64 -64) (*.f64 b b)) (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 1/3 (*.f64 (/.f64 (-.f64 (*.f64 1/1024 (*.f64 (sqrt.f64 -64) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (fma.f64 -1/4 (*.f64 (/.f64 (sqrt.f64 -64) c) (/.f64 (+.f64 (*.f64 3/128 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -64))) (*.f64 -3/64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 (sqrt.f64 -64) 2) (pow.f64 (sqrt.f64 -4) 3))))) (*.f64 a (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1/512 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 (sqrt.f64 -64) 3) (pow.f64 (sqrt.f64 -4) 6)))))) c) (/.f64 (pow.f64 b 6) (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/3 (*.f64 (/.f64 (+.f64 (*.f64 3/128 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -64))) (*.f64 -3/64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 (sqrt.f64 -64) 2) (pow.f64 (sqrt.f64 -4) 3))))) c) (/.f64 (pow.f64 b 4) (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 (sqrt.f64 -64) -4) (*.f64 b b))) (fma.f64 1/3 (*.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 -64) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) 1/1024)) (fma.f64 -1/4 (*.f64 (/.f64 (fma.f64 3/128 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 16 (sqrt.f64 -4))) -3/64)) c) (/.f64 (sqrt.f64 -64) (*.f64 -4 (*.f64 (sqrt.f64 -4) a)))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (/.f64 (sqrt.f64 -64) 1) -1/512)))) c) (/.f64 (pow.f64 b 6) (*.f64 a -4))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (/.f64 (fma.f64 3/128 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 16 (sqrt.f64 -4))) -3/64)) c) (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a -4)) 1/3))))) |
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) |
(+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 18 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 b 3)))) (*.f64 -12 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 b 3))))) (*.f64 12 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 b 3))))) (pow.f64 b 6))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 1/3 (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 b 3))) 6) (*.f64 (*.f64 -12 (*.f64 c c)) (*.f64 (*.f64 a a) (pow.f64 b 3)))) (pow.f64 b 6)) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))) |
(fma.f64 1/3 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)) -6) (pow.f64 b 6)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 18 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 b 3)))) (*.f64 -12 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 b 3))))) (*.f64 12 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 b 3))))) (pow.f64 b 6))) (+.f64 b (+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 72 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 b 3)))) (+.f64 (*.f64 -36 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 b 3)))) (*.f64 -32 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 b 3)))))) (+.f64 (*.f64 -4 (*.f64 c (*.f64 a (-.f64 (+.f64 (*.f64 18 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 b 3)))) (*.f64 -12 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 b 3))))) (*.f64 12 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 b 3)))))))) (*.f64 -8 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 b 3)))))) (pow.f64 b 8))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 1/3 (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 b 3))) 6) (*.f64 (*.f64 -12 (*.f64 c c)) (*.f64 (*.f64 a a) (pow.f64 b 3)))) (pow.f64 b 6)) (+.f64 b (fma.f64 1/3 (/.f64 (-.f64 (fma.f64 72 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 b 3))) -68)) (fma.f64 -4 (*.f64 c (*.f64 a (+.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 b 3))) 6) (*.f64 (*.f64 -12 (*.f64 c c)) (*.f64 (*.f64 a a) (pow.f64 b 3)))))) (*.f64 (*.f64 -8 (pow.f64 c 3)) (*.f64 (pow.f64 a 3) (pow.f64 b 3))))) (pow.f64 b 8)) (*.f64 -2 (/.f64 c (/.f64 b a)))))) |
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b |
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b |
(+.f64 (*.f64 -2 (*.f64 (*.f64 c a) (pow.f64 (*.f64 1 b) 1/3))) b) |
(fma.f64 -2 (*.f64 c (*.f64 a (cbrt.f64 b))) b) |
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(cbrt.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a -4)) (log.f64 c)))) |
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(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 b b) (*.f64 c a)) (*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 7) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 7) 1/18))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))) (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) (fma.f64 1/128 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (/.f64 (*.f64 -9/1024 (pow.f64 b 6)) (pow.f64 a 3)))) (fma.f64 1/512 (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 7))) (*.f64 (*.f64 1/4 (*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 4) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 4) 1/18))) (/.f64 (+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) 3/128) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c)))))) (*.f64 -3/64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) (*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 17) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 17) 1/18))))) (/.f64 a (*.f64 b b)))))) (pow.f64 c 3))) (fma.f64 1/3 (*.f64 (/.f64 (+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) 3/128) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c)))))) (*.f64 -3/64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) (*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 17) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 17) 1/18))))) (*.f64 c c)) (cbrt.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)))) (cbrt.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))))))) |
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 b a) (/.f64 b c)) (*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 7) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 7) 1/18))) (+.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2))) (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) -1/1024)) (fma.f64 1/512 (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 7))) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 b 4) 3/128) (*.f64 a a)) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) (*.f64 -3/64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) (*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 17) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 17) 1/18))))) a) (*.f64 b b)) (*.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 4) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 4) 1/18)) 1/4)))) (pow.f64 c 3))) (/.f64 (*.f64 1/3 (fma.f64 (/.f64 (*.f64 (pow.f64 b 4) 3/128) (*.f64 a a)) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) (*.f64 -3/64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) (*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 17) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 17) 1/18)))))) (*.f64 c c)))) (cbrt.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 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)) |
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(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (sqrt.f64 -64) (*.f64 b b)) (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))) |
(fma.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (*.f64 c a)))) (*.f64 (/.f64 (sqrt.f64 -64) -4) (*.f64 b b)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (sqrt.f64 -64) (pow.f64 b 2)) (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 3/128 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -64))) (*.f64 3/64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 (sqrt.f64 -64) 2) (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 4)) (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (sqrt.f64 -64) (*.f64 b b)) (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 1/3 (*.f64 (/.f64 (+.f64 (*.f64 3/128 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -64))) (*.f64 -3/64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 (sqrt.f64 -64) 2) (pow.f64 (sqrt.f64 -4) 3))))) c) (/.f64 (pow.f64 b 4) (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 (sqrt.f64 -64) -4) (*.f64 b b))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 (/.f64 (fma.f64 3/128 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 16 (sqrt.f64 -4))) -3/64)) c) (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a -4)) 1/3)) b))) |
(*.f64 -1 b) |
(neg.f64 b) |
(+.f64 b (*.f64 -1 b)) |
(*.f64 0 b) |
0 |
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(fma.f64 1/3 (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 b 3))) 6) (*.f64 (*.f64 -12 (*.f64 c c)) (*.f64 (*.f64 a a) (pow.f64 b 3)))) (pow.f64 b 6)) (+.f64 (*.f64 0 b) (*.f64 -2 (/.f64 c (/.f64 b a))))) |
(fma.f64 1/3 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)) -6) (pow.f64 b 6)) (+.f64 0 (*.f64 -2 (*.f64 (/.f64 c b) a)))) |
(*.f64 -1 b) |
(neg.f64 b) |
(*.f64 2 (*.f64 -1 b)) |
(*.f64 -2 b) |
(*.f64 b -2) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (*.f64 -1 b))) |
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 -2 b)) |
(*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) |
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(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 1/3 (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 b 3))) -6) (*.f64 (*.f64 12 (*.f64 c c)) (*.f64 (*.f64 a a) (pow.f64 b 3)))) (pow.f64 b 6)) (*.f64 -2 b))) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 1/3 (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)) (/.f64 (pow.f64 b 6) 6)) (*.f64 b -2))) |
(*.f64 -2 (*.f64 (*.f64 c a) (pow.f64 (*.f64 1 b) 1/3))) |
(*.f64 -2 (*.f64 c (*.f64 a (cbrt.f64 b)))) |
(*.f64 (*.f64 c a) (*.f64 (cbrt.f64 b) -2)) |
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(fma.f64 -2 (*.f64 c (*.f64 a (cbrt.f64 b))) (*.f64 1/3 (/.f64 (*.f64 a a) (/.f64 (*.f64 b b) (+.f64 (*.f64 (pow.f64 b 3) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 4)) 6)) (*.f64 -12 (*.f64 (*.f64 c c) (cbrt.f64 (pow.f64 b 5))))))))) |
(fma.f64 1/3 (*.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (pow.f64 b 3) (*.f64 (/.f64 c (/.f64 (pow.f64 b 4) c)) 6) (*.f64 -12 (*.f64 (*.f64 c c) (cbrt.f64 (pow.f64 b 5)))))) (*.f64 (*.f64 c a) (*.f64 (cbrt.f64 b) -2))) |
(+.f64 (*.f64 -2 (*.f64 (*.f64 c a) (pow.f64 (*.f64 1 b) 1/3))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 a 2) (-.f64 (*.f64 (+.f64 (*.f64 18 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -12 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 b 3)) (*.f64 12 (*.f64 (pow.f64 c 2) (pow.f64 (*.f64 1 (pow.f64 b 5)) 1/3))))) (pow.f64 b 2))) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 a 3) (-.f64 (*.f64 (+.f64 (*.f64 72 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (*.f64 -36 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (*.f64 -32 (/.f64 (pow.f64 c 3) (pow.f64 b 6))))) (pow.f64 b 3)) (+.f64 (*.f64 -8 (*.f64 (pow.f64 c 3) b)) (*.f64 -4 (*.f64 (*.f64 c (-.f64 (*.f64 (+.f64 (*.f64 18 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -12 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 b 3)) (*.f64 12 (*.f64 (pow.f64 c 2) (pow.f64 (*.f64 1 (pow.f64 b 5)) 1/3))))) (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3)))))) (pow.f64 b 2))))) |
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(-.f64 (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 b b) (*.f64 c a)) (*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 7) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 7) 1/18))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))) (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) (fma.f64 1/128 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (/.f64 (*.f64 -9/1024 (pow.f64 b 6)) (pow.f64 a 3)))) (fma.f64 1/512 (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 7))) (*.f64 (*.f64 1/4 (*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 4) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 4) 1/18))) (/.f64 (+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) 3/128) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c)))))) (*.f64 -3/64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) (*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 17) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 17) 1/18))))) (/.f64 a (*.f64 b b)))))) (pow.f64 c 3))) (fma.f64 1/3 (*.f64 (/.f64 (+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) 3/128) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c)))))) (*.f64 -3/64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) (*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 17) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 17) 1/18))))) (*.f64 c c)) (cbrt.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)))) (cbrt.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))))))) b) |
(-.f64 (fma.f64 -1/8 (*.f64 (*.f64 (/.f64 b a) (/.f64 b c)) (*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 7) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 7) 1/18))) (+.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2))) (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) -1/1024)) (fma.f64 1/512 (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 7))) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 b 4) 3/128) (*.f64 a a)) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) (*.f64 -3/64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) (*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 17) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 17) 1/18))))) a) (*.f64 b b)) (*.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 4) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 4) 1/18)) 1/4)))) (pow.f64 c 3))) (/.f64 (*.f64 1/3 (fma.f64 (/.f64 (*.f64 (pow.f64 b 4) 3/128) (*.f64 a a)) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) (*.f64 -3/64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) (*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 17) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 17) 1/18)))))) (*.f64 c c)))) (cbrt.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c))))))) 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)) |
(+.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)) |
(+.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)) |
(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)) |
(+.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)) |
(+.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)) |
(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)) |
(+.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)) |
(+.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)) |
(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)) |
(+.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)) |
(+.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)) |
(*.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)) |
(+.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)) |
(+.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)) |
(*.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)) |
(+.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)) |
(+.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)) |
(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)) |
(+.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)) |
(+.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)) |
(*.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)) |
(+.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)) |
(+.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)) |
(*.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)) |
(+.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)) |
(+.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)) |
(*.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 (*.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 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 b -1/2) a)) |
(+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (*.f64 (sqrt.f64 -64) (pow.f64 b 2)) (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))) |
(fma.f64 -1/16 (*.f64 (/.f64 (*.f64 (sqrt.f64 -64) (*.f64 b b)) (pow.f64 (sqrt.f64 -4) 2)) (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 -1/16 (*.f64 (*.f64 (/.f64 (sqrt.f64 -64) -4) (*.f64 b 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 (*.f64 b -1/2) a))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 3/128 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -64))) (*.f64 3/64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 (sqrt.f64 -64) 2) (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 4)) (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (*.f64 (sqrt.f64 -64) (pow.f64 b 2)) (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))))) |
(fma.f64 1/6 (/.f64 (+.f64 (*.f64 3/128 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -64))) (*.f64 -3/64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 (sqrt.f64 -64) 2) (pow.f64 (sqrt.f64 -4) 3))))) (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a))) (pow.f64 b 4))) (fma.f64 -1/16 (*.f64 (/.f64 (*.f64 (sqrt.f64 -64) (*.f64 b b)) (pow.f64 (sqrt.f64 -4) 2)) (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 1/6 (/.f64 (fma.f64 3/128 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 16 (sqrt.f64 -4))) -3/64)) (/.f64 c (/.f64 (pow.f64 b 4) (*.f64 a (*.f64 a -4))))) (fma.f64 -1/16 (*.f64 (*.f64 (/.f64 (sqrt.f64 -64) -4) (*.f64 b 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 (*.f64 b -1/2) a)))) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 (*.f64 b -1/2) a) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 1/2 (/.f64 b a))) |
(*.f64 0 b) |
0 |
(+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 1/2 (/.f64 b a)))) |
(fma.f64 -1 (/.f64 c b) (*.f64 (/.f64 b a) 0)) |
(/.f64 (neg.f64 c) b) |
(+.f64 (*.f64 1/6 (/.f64 (-.f64 (+.f64 (*.f64 18 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 b 3)))) (*.f64 -12 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 b 3))))) (*.f64 12 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 b 3))))) (*.f64 a (pow.f64 b 6)))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 1/2 (/.f64 b a))))) |
(fma.f64 1/6 (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 b 3))) 6) (*.f64 (*.f64 -12 (*.f64 c c)) (*.f64 (*.f64 a a) (pow.f64 b 3)))) (*.f64 a (pow.f64 b 6))) (fma.f64 -1 (/.f64 c b) (*.f64 (/.f64 b a) 0))) |
(fma.f64 1/6 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)) (pow.f64 b 6)) (/.f64 -6 a)) (/.f64 (neg.f64 c) b)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 (*.f64 b -1/2) a) |
(*.f64 2 (*.f64 -1/2 (/.f64 b a))) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(+.f64 (/.f64 c b) (*.f64 2 (*.f64 -1/2 (/.f64 b a)))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(fma.f64 -1 (/.f64 b a) (/.f64 c b)) |
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(*.f64 -1 (*.f64 c (pow.f64 (*.f64 1 b) 1/3))) |
(neg.f64 (*.f64 c (cbrt.f64 b))) |
(*.f64 (cbrt.f64 b) (neg.f64 c)) |
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(fma.f64 -1 (*.f64 c (cbrt.f64 b)) (*.f64 1/6 (/.f64 a (/.f64 (*.f64 b b) (+.f64 (*.f64 (pow.f64 b 3) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 4)) 6)) (*.f64 -12 (*.f64 (*.f64 c c) (cbrt.f64 (pow.f64 b 5))))))))) |
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(-.f64 (*.f64 1/6 (+.f64 (*.f64 (/.f64 a (*.f64 b b)) (fma.f64 (pow.f64 b 3) (*.f64 (/.f64 c (/.f64 (pow.f64 b 4) c)) 6) (*.f64 -12 (*.f64 (*.f64 c c) (cbrt.f64 (pow.f64 b 5)))))) (*.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (-.f64 (*.f64 (pow.f64 b 3) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 6)) 4)) (fma.f64 -4 (*.f64 c (*.f64 (fma.f64 (pow.f64 b 3) (*.f64 (/.f64 c (/.f64 (pow.f64 b 4) c)) 6) (*.f64 -12 (*.f64 (*.f64 c c) (cbrt.f64 (pow.f64 b 5))))) (cbrt.f64 (/.f64 1 (*.f64 b b))))) (*.f64 (pow.f64 c 3) (*.f64 b -8))))))) (*.f64 c (cbrt.f64 b))) |
(+.f64 (*.f64 -1 (*.f64 c (pow.f64 (*.f64 1 b) 1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 192 (/.f64 (pow.f64 c 4) (pow.f64 b 8))) (+.f64 (*.f64 -96 (/.f64 (pow.f64 c 4) (pow.f64 b 8))) (+.f64 (*.f64 -216 (/.f64 (pow.f64 c 4) (pow.f64 b 8))) (+.f64 (*.f64 72 (/.f64 (pow.f64 c 4) (pow.f64 b 8))) (*.f64 54 (/.f64 (pow.f64 c 4) (pow.f64 b 8))))))) (pow.f64 b 3)) (+.f64 (*.f64 4 (*.f64 (*.f64 (pow.f64 c 2) (-.f64 (*.f64 (+.f64 (*.f64 18 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -12 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 b 3)) (*.f64 12 (*.f64 (pow.f64 c 2) (pow.f64 (*.f64 1 (pow.f64 b 5)) 1/3))))) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (-.f64 (*.f64 (+.f64 (*.f64 18 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -12 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 b 3)) (*.f64 12 (*.f64 (pow.f64 c 2) (pow.f64 (*.f64 1 (pow.f64 b 5)) 1/3)))) 2) (pow.f64 b 3))) (*.f64 -4 (*.f64 (*.f64 c (-.f64 (*.f64 (+.f64 (*.f64 72 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (*.f64 -36 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (*.f64 -32 (/.f64 (pow.f64 c 3) (pow.f64 b 6))))) (pow.f64 b 3)) (+.f64 (*.f64 -8 (*.f64 (pow.f64 c 3) b)) (*.f64 -4 (*.f64 (*.f64 c (-.f64 (*.f64 (+.f64 (*.f64 18 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -12 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 b 3)) (*.f64 12 (*.f64 (pow.f64 c 2) (pow.f64 (*.f64 1 (pow.f64 b 5)) 1/3))))) (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3)))))) (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3)))))) (pow.f64 a 3)) (pow.f64 b 2))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a (-.f64 (*.f64 (+.f64 (*.f64 18 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -12 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 b 3)) (*.f64 12 (*.f64 (pow.f64 c 2) (pow.f64 (*.f64 1 (pow.f64 b 5)) 1/3))))) (pow.f64 b 2))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 a 2) (-.f64 (*.f64 (+.f64 (*.f64 72 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (*.f64 -36 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (*.f64 -32 (/.f64 (pow.f64 c 3) (pow.f64 b 6))))) (pow.f64 b 3)) (+.f64 (*.f64 -8 (*.f64 (pow.f64 c 3) b)) (*.f64 -4 (*.f64 (*.f64 c (-.f64 (*.f64 (+.f64 (*.f64 18 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -12 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 b 3)) (*.f64 12 (*.f64 (pow.f64 c 2) (pow.f64 (*.f64 1 (pow.f64 b 5)) 1/3))))) (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3)))))) (pow.f64 b 2)))))) |
(fma.f64 -1 (*.f64 c (cbrt.f64 b)) (fma.f64 1/6 (/.f64 (-.f64 (*.f64 (pow.f64 b 3) (fma.f64 192 (/.f64 (pow.f64 c 4) (pow.f64 b 8)) (fma.f64 -96 (/.f64 (pow.f64 c 4) (pow.f64 b 8)) (fma.f64 -216 (/.f64 (pow.f64 c 4) (pow.f64 b 8)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 8)) 126))))) (fma.f64 4 (*.f64 (*.f64 c c) (*.f64 (+.f64 (*.f64 (pow.f64 b 3) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 4)) 6)) (*.f64 -12 (*.f64 (*.f64 c c) (cbrt.f64 (pow.f64 b 5))))) (cbrt.f64 (/.f64 1 (pow.f64 b 4))))) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 b 3) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 4)) 6)) (*.f64 -12 (*.f64 (*.f64 c c) (cbrt.f64 (pow.f64 b 5))))) 2) (pow.f64 b 3)) (*.f64 -4 (*.f64 c (*.f64 (-.f64 (*.f64 (pow.f64 b 3) (fma.f64 72 (/.f64 (pow.f64 c 3) (pow.f64 b 6)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 6)) -68))) (fma.f64 -8 (*.f64 b (pow.f64 c 3)) (*.f64 -4 (*.f64 c (*.f64 (+.f64 (*.f64 (pow.f64 b 3) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 4)) 6)) (*.f64 -12 (*.f64 (*.f64 c c) (cbrt.f64 (pow.f64 b 5))))) (cbrt.f64 (/.f64 1 (*.f64 b b)))))))) (cbrt.f64 (/.f64 1 (*.f64 b b))))))))) (/.f64 (*.f64 b b) (pow.f64 a 3))) (*.f64 1/6 (+.f64 (/.f64 a (/.f64 (*.f64 b b) (+.f64 (*.f64 (pow.f64 b 3) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 4)) 6)) (*.f64 -12 (*.f64 (*.f64 c c) (cbrt.f64 (pow.f64 b 5))))))) (/.f64 (*.f64 (*.f64 a a) (-.f64 (*.f64 (pow.f64 b 3) (fma.f64 72 (/.f64 (pow.f64 c 3) (pow.f64 b 6)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 6)) -68))) (fma.f64 -8 (*.f64 b (pow.f64 c 3)) (*.f64 -4 (*.f64 c (*.f64 (+.f64 (*.f64 (pow.f64 b 3) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 4)) 6)) (*.f64 -12 (*.f64 (*.f64 c c) (cbrt.f64 (pow.f64 b 5))))) (cbrt.f64 (/.f64 1 (*.f64 b b))))))))) (*.f64 b b)))))) |
(-.f64 (*.f64 1/6 (+.f64 (+.f64 (*.f64 (/.f64 a (*.f64 b b)) (fma.f64 (pow.f64 b 3) (*.f64 (/.f64 c (/.f64 (pow.f64 b 4) c)) 6) (*.f64 -12 (*.f64 (*.f64 c c) (cbrt.f64 (pow.f64 b 5)))))) (*.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (-.f64 (*.f64 (pow.f64 b 3) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 6)) 4)) (fma.f64 -4 (*.f64 c (*.f64 (fma.f64 (pow.f64 b 3) (*.f64 (/.f64 c (/.f64 (pow.f64 b 4) c)) 6) (*.f64 -12 (*.f64 (*.f64 c c) (cbrt.f64 (pow.f64 b 5))))) (cbrt.f64 (/.f64 1 (*.f64 b b))))) (*.f64 (pow.f64 c 3) (*.f64 b -8)))))) (/.f64 (-.f64 (*.f64 (pow.f64 b 3) (+.f64 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 8)) 96) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 8)) -90))) (fma.f64 4 (*.f64 c (*.f64 c (*.f64 (fma.f64 (pow.f64 b 3) (*.f64 (/.f64 c (/.f64 (pow.f64 b 4) c)) 6) (*.f64 -12 (*.f64 (*.f64 c c) (cbrt.f64 (pow.f64 b 5))))) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))))) (fma.f64 -4 (*.f64 c (*.f64 (-.f64 (*.f64 (pow.f64 b 3) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 6)) 4)) (fma.f64 -4 (*.f64 c (*.f64 (fma.f64 (pow.f64 b 3) (*.f64 (/.f64 c (/.f64 (pow.f64 b 4) c)) 6) (*.f64 -12 (*.f64 (*.f64 c c) (cbrt.f64 (pow.f64 b 5))))) (cbrt.f64 (/.f64 1 (*.f64 b b))))) (*.f64 (pow.f64 c 3) (*.f64 b -8)))) (cbrt.f64 (/.f64 1 (*.f64 b b))))) (/.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (fma.f64 (pow.f64 b 3) (*.f64 (/.f64 c (/.f64 (pow.f64 b 4) c)) 6) (*.f64 -12 (*.f64 (*.f64 c c) (cbrt.f64 (pow.f64 b 5))))) 2)))))) (/.f64 b (/.f64 (pow.f64 a 3) b))))) (*.f64 c (cbrt.f64 b))) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 1/3) b) a)) |
(/.f64 (*.f64 1/2 (-.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (*.f64 c -4))))) b)) a) |
(/.f64 (*.f64 1/2 (-.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a)))) b)) a) |
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(fma.f64 1/2 (/.f64 (-.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (*.f64 c -4))))) b) a) (*.f64 -1/16 (*.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (*.f64 c -4)))) 7) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (*.f64 c -4)))) 7) 1/18)) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a a)))))) |
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(fma.f64 -1/16 (*.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 7) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 7) 1/18)) (/.f64 b (/.f64 (*.f64 c (*.f64 a a)) b))) (fma.f64 1/2 (/.f64 (-.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c))))) b) a) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 b 4) 3/128) (*.f64 a a)) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) (*.f64 -3/64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) (*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 17) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 17) 1/18))))) (*.f64 c (*.f64 c a))) 1/6)))) |
(+.f64 (*.f64 -1/6 (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/128 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 -9/512 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 9/1024 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))) (+.f64 (*.f64 1/512 (*.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 7) 1) 1/3) (/.f64 (pow.f64 b 6) (pow.f64 a 3)))) (*.f64 1/4 (*.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 4) 1) 1/9) (/.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 9/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -3/64 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))) (*.f64 3/64 (*.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 17) 1) 1/9) (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (pow.f64 b 2)) a))))) (*.f64 (pow.f64 c 3) a)) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) 1/3))) (+.f64 (*.f64 -1/16 (*.f64 (/.f64 (pow.f64 b 2) (*.f64 c (pow.f64 a 2))) (pow.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 7) 1) 1/9))) (+.f64 (*.f64 1/6 (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 9/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -3/64 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))) (*.f64 3/64 (*.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 17) 1) 1/9) (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (*.f64 (pow.f64 c 2) a)) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) 1/3))) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 1/3) b) a))))) |
(fma.f64 -1/6 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))) (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) (fma.f64 1/128 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (/.f64 (*.f64 -9/1024 (pow.f64 b 6)) (pow.f64 a 3)))) (fma.f64 1/512 (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 7))) (*.f64 (*.f64 1/4 (*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 4) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 4) 1/18))) (/.f64 (+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) 3/128) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c)))))) (*.f64 -3/64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) (*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 17) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 17) 1/18))))) (/.f64 a (*.f64 b b)))))) (*.f64 a (pow.f64 c 3)))) (fma.f64 -1/16 (*.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 7) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 7) 1/18)) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a a)))) (fma.f64 1/6 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))) (/.f64 (+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) 3/128) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c)))))) (*.f64 -3/64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) (*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 17) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 17) 1/18))))) (*.f64 a (*.f64 c c)))) (*.f64 1/2 (/.f64 (-.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c)))))) b) a))))) |
(fma.f64 -1/6 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2))) (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) -1/1024)) (fma.f64 1/512 (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 7))) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 b 4) 3/128) (*.f64 a a)) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) (*.f64 -3/64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) (*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 17) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 17) 1/18))))) a) (*.f64 b b)) (*.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 4) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 4) 1/18)) 1/4)))) (*.f64 a (pow.f64 c 3)))) (fma.f64 -1/16 (*.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 7) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 7) 1/18)) (/.f64 b (/.f64 (*.f64 c (*.f64 a a)) b))) (fma.f64 1/2 (/.f64 (-.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c))))) b) a) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 b 4) 3/128) (*.f64 a a)) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) (*.f64 -3/64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) (*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 17) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 17) 1/18))))) (*.f64 c (*.f64 c a))) 1/6))))) |
Compiled 41014 to 29248 computations (28.7% saved)
29 alts after pruning (25 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1002 | 20 | 1022 |
| Fresh | 15 | 5 | 20 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 4 | 5 |
| Total | 1019 | 29 | 1048 |
| Status | Error | Program |
|---|---|---|
| 41.0b | (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) | |
| ✓ | 47.5b | (*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) |
| 40.6b | (/.f64 (neg.f64 c) b) | |
| 47.6b | (pow.f64 (sqrt.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (/.f64 a 1/2))) 2) | |
| ✓ | 36.4b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| 52.0b | (*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))))) | |
| ▶ | 44.7b | (-.f64 (/.f64 c b) (/.f64 b a)) |
| 57.2b | (/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (*.f64 (/.f64 a b) c) b)) (*.f64 2 a)) | |
| 51.5b | (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 3/2) 1/3) b) (/.f64 1/2 a)) | |
| ✓ | 44.5b | (/.f64 (neg.f64 b) a) |
| 44.9b | (*.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (/.f64 1/2 a)) | |
| 45.4b | (/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2))) (*.f64 2 a)) | |
| 57.6b | (/.f64 c b) | |
| ▶ | 62.3b | (/.f64 b a) |
| 47.5b | (/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)))) | |
| 44.6b | (*.f64 (*.f64 b -2) (/.f64 1/2 a)) | |
| ▶ | 46.0b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
| 61.3b | (*.f64 (cbrt.f64 b) (neg.f64 c)) | |
| ✓ | 45.9b | (*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a)) |
| 62.2b | (*.f64 -1 (*.f64 c (pow.f64 (*.f64 1 b) 1/3))) | |
| ▶ | 34.7b | (/.f64 1 (*.f64 (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)) a)) |
| 62.3b | (*.f64 (/.f64 1/2 a) (+.f64 b b)) | |
| 47.2b | (/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))) b) 1/2))) | |
| 44.6b | (/.f64 1 (/.f64 (neg.f64 a) b)) | |
| 59.7b | (*.f64 (*.f64 (*.f64 c a) (*.f64 (cbrt.f64 b) -2)) (/.f64 1/2 a)) | |
| ▶ | 47.2b | (*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a)) |
| 46.4b | (/.f64 (*.f64 (/.f64 1/2 a) (-.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (*.f64 b b))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) | |
| 58.0b | (*.f64 (-.f64 (fma.f64 -2 (*.f64 c (*.f64 a (cbrt.f64 b))) b) b) (/.f64 1/2 a)) | |
| 56.9b | (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 b b) 3/2) 1/3) b) (/.f64 1/2 a)) |
Compiled 798 to 569 computations (28.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)) a) |
| ✓ | 0.1b | (/.f64 1 (*.f64 (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)) a)) |
| ✓ | 0.7b | (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) |
| ✓ | 15.6b | (sqrt.f64 (*.f64 a (*.f64 c -4))) |
Compiled 83 to 54 computations (34.9% saved)
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | c | @ | inf | (*.f64 (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)) a) |
| 2.0ms | a | @ | inf | (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) |
| 1.0ms | a | @ | inf | (*.f64 (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)) a) |
| 1.0ms | c | @ | -inf | (*.f64 (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)) a) |
| 1.0ms | a | @ | -inf | (*.f64 (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)) a) |
| 1× | batch-egg-rewrite |
| 760× | log-prod_binary64 |
| 560× | prod-diff_binary64 |
| 274× | expm1-udef_binary64 |
| 274× | log1p-udef_binary64 |
| 270× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 69 |
| 1 | 325 | 66 |
| 2 | 4155 | 66 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 a (*.f64 c -4))) |
(-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) |
(/.f64 1 (*.f64 (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)) a)) |
(*.f64 (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)) a) |
| Outputs |
|---|
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(/.f64 2 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b) a))) (sqrt.f64 (/.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b) 1/2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 a 2)) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a 2) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a 2)) (neg.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a 2) 1) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a 2) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b)) 2)) (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a 2) (sqrt.f64 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sqrt.f64 (pow.f64 (/.f64 2 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b) a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b)) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b) a))) 1)))))) |
| 1× | egg-herbie |
| 825× | associate-/r*_binary64 |
| 635× | unswap-sqr_binary64 |
| 444× | associate-*l/_binary64 |
| 393× | associate-*r/_binary64 |
| 257× | associate-+l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 222 | 1791 |
| 1 | 688 | 1412 |
| 2 | 2828 | 1348 |
| 3 | 7352 | 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)) 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 (sqrt.f64 -4) (*.f64 b b)))) b)) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b 1/2) (/.f64 (sqrt.f64 -4) b))) 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 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (sqrt.f64 -4) (*.f64 b b)))) 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 b 1/2) (/.f64 (sqrt.f64 -4) b))) 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 b 1/2) (/.f64 (sqrt.f64 -4) b)) (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 b (*.f64 a (*.f64 c -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 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))))) |
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(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (/.f64 (*.f64 b -1/2) 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 b (*.f64 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 (*.f64 b b) (*.f64 (*.f64 (/.f64 -1/4 (sqrt.f64 -4)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) -1/2)) -2)))) |
(+.f64 (fma.f64 2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (/.f64 (*.f64 b -1/2) c)) (*.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (/.f64 1/8 (sqrt.f64 -4))) -2))) |
(+.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 b (*.f64 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 b (*.f64 b (*.f64 (/.f64 -1/4 (sqrt.f64 -4)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) -1/2)))) (*.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 (fma.f64 2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (/.f64 (*.f64 b -1/2) c)) (*.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))))) |
(*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) |
(*.f64 -1 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(+.f64 (/.f64 a b) (*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))))) |
(+.f64 (*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (/.f64 a b)) |
(+.f64 (*.f64 -1 (/.f64 b c)) (/.f64 a b)) |
(+.f64 (/.f64 (neg.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 b (*.f64 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 (/.f64 (neg.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 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 -2 (/.f64 (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 (*.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 (*.f64 c a) (*.f64 c 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 (*.f64 c a) (*.f64 (*.f64 a (*.f64 a 16)) (*.f64 c 1/8))) (*.f64 (pow.f64 a 3) (*.f64 c c)))) (pow.f64 b 5)) (/.f64 (neg.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 (*.f64 c a) (*.f64 (*.f64 a (*.f64 a 16)) (*.f64 c 1/8))) (*.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 (neg.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 -1 c) (*.f64 a a)) (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 -1 c) (*.f64 a a)) (pow.f64 b 3))) (/.f64 a b)) |
(-.f64 (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 a 3) (*.f64 c c)) (pow.f64 b 5)) 16) (/.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 (-.f64 (/.f64 (*.f64 (*.f64 -1 c) (*.f64 a a)) (pow.f64 b 3)) (/.f64 a b)) (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 (neg.f64 c) (*.f64 a a)) (pow.f64 b 3)) (-.f64 (fma.f64 2 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 4)) -5/2) (pow.f64 b 7)) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 a 3) (*.f64 c c)) (pow.f64 b 5)) 16))) (/.f64 a b))) |
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 a 3) (*.f64 c c)) (pow.f64 b 5)) 16) (/.f64 (*.f64 (neg.f64 c) (*.f64 a a)) (pow.f64 b 3))) (fma.f64 (/.f64 2 (pow.f64 b 7)) (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 4)) -5/2) (/.f64 (neg.f64 a) b))) |
Compiled 8 to 4 computations (50% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (/.f64 c b) (/.f64 b a)) |
Compiled 19 to 6 computations (68.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | 0 | (-.f64 (/.f64 c b) (/.f64 b a)) |
| 1.0ms | c | @ | 0 | (-.f64 (/.f64 c b) (/.f64 b a)) |
| 0.0ms | b | @ | inf | (-.f64 (/.f64 c b) (/.f64 b a)) |
| 0.0ms | a | @ | -inf | (-.f64 (/.f64 c b) (/.f64 b a)) |
| 0.0ms | b | @ | 0 | (-.f64 (/.f64 c b) (/.f64 b a)) |
| 1× | batch-egg-rewrite |
| 470× | log-prod_binary64 |
| 351× | exp-prod_binary64 |
| 337× | pow-prod-down_binary64 |
| 309× | fma-def_binary64 |
| 241× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 164 | 10 |
| 2 | 2652 | 10 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 c b) (/.f64 b a)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 c b) (*.f64 (/.f64 (neg.f64 b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (fma.f64 (neg.f64 (/.f64 1 a)) b (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (fma.f64 (/.f64 (neg.f64 b) a) 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b a))) (cbrt.f64 (pow.f64 (/.f64 a b) -2)) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 c b) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 c 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3)) (/.f64 1 (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (pow.f64 (/.f64 c b) 2))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b a))) (cbrt.f64 (pow.f64 (/.f64 a b) -2)) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 c b) 3) (pow.f64 (/.f64 b a) 3)) (/.f64 1 (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (pow.f64 (/.f64 c b) 2))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 b) c (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 b) c (*.f64 (/.f64 (neg.f64 b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 c b) 2) (pow.f64 (/.f64 a b) -2)) (/.f64 1 (+.f64 (/.f64 c b) (/.f64 b a))) (fma.f64 (neg.f64 (/.f64 1 a)) b (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 c b) 2) (pow.f64 (/.f64 a b) -2)) (/.f64 1 (+.f64 (/.f64 c b) (/.f64 b a))) (fma.f64 (/.f64 (neg.f64 b) a) 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 c b) 2) (pow.f64 (/.f64 a b) -2)) (/.f64 1 (+.f64 (/.f64 c b) (/.f64 b a))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b a))) (cbrt.f64 (pow.f64 (/.f64 a b) -2)) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 c b) 2) (pow.f64 (/.f64 a b) -2)) (/.f64 1 (+.f64 (/.f64 c b) (/.f64 b a))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 b) a)) 2) (cbrt.f64 (/.f64 (neg.f64 b) a)) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (neg.f64 b) a)) (sqrt.f64 (/.f64 (neg.f64 b) a)) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 b a))) (sqrt.f64 (/.f64 b a)) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 b a) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) -2) (/.f64 c (cbrt.f64 b)) (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) -2) (/.f64 c (cbrt.f64 b)) (*.f64 (/.f64 (neg.f64 b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 b -1/2) (/.f64 c (sqrt.f64 b)) (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 b -1/2) (/.f64 c (sqrt.f64 b)) (*.f64 (/.f64 (neg.f64 b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) 1) (/.f64 (cbrt.f64 c) b) (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) 1) (/.f64 (cbrt.f64 c) b) (*.f64 (/.f64 (neg.f64 b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 c) 1) (/.f64 (sqrt.f64 c) b) (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 c) 1) (/.f64 (sqrt.f64 c) b) (*.f64 (/.f64 (neg.f64 b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (/.f64 c b)) (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (/.f64 c b)) (*.f64 (/.f64 (neg.f64 b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 c) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 c) (cbrt.f64 b)) (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 c) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 c) (cbrt.f64 b)) (*.f64 (/.f64 (neg.f64 b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (sqrt.f64 b)) (/.f64 (cbrt.f64 c) (sqrt.f64 b)) (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (sqrt.f64 b)) (/.f64 (cbrt.f64 c) (sqrt.f64 b)) (*.f64 (/.f64 (neg.f64 b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (-.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (fma.f64 (neg.f64 (/.f64 1 a)) b (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (-.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (fma.f64 (/.f64 (neg.f64 b) a) 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (-.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b a))) (cbrt.f64 (pow.f64 (/.f64 a b) -2)) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (-.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 a b) -2))) (cbrt.f64 (/.f64 b a)) (/.f64 c b)))))) |
| 1× | egg-herbie |
| 506× | fma-def_binary64 |
| 266× | fma-neg_binary64 |
| 120× | associate-/l*_binary64 |
| 96× | cancel-sign-sub-inv_binary64 |
| 94× | times-frac_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 368 |
| 1 | 14 | 314 |
| 2 | 24 | 314 |
| 3 | 34 | 314 |
| 4 | 47 | 314 |
| 5 | 71 | 314 |
| 6 | 119 | 314 |
| 7 | 175 | 314 |
| 8 | 257 | 314 |
| 9 | 408 | 314 |
| 10 | 679 | 314 |
| 11 | 1121 | 314 |
| 12 | 1656 | 314 |
| 13 | 2118 | 314 |
| 14 | 2220 | 314 |
| 15 | 2224 | 314 |
| 16 | 2236 | 314 |
| 17 | 2246 | 314 |
| 1× | saturated |
| Inputs |
|---|
(*.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 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.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 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.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 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.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 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
| 15.6b | (sqrt.f64 (*.f64 c (*.f64 a -4))) |
Compiled 49 to 30 computations (38.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | inf | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
| 1.0ms | a | @ | -inf | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
| 1.0ms | b | @ | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
| 1.0ms | c | @ | -inf | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
| 1.0ms | c | @ | inf | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
| 1× | batch-egg-rewrite |
| 680× | log-prod_binary64 |
| 387× | fma-def_binary64 |
| 334× | pow2_binary64 |
| 247× | pow-unpow_binary64 |
| 234× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 20 |
| 1 | 284 | 18 |
| 2 | 3968 | 18 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)) (/.f64 1/2 a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)) (/.f64 1/2 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a))) 2) (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)) 2) (*.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a))) (sqrt.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)) (*.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 1 (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) 1/2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)) 2) a) (/.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)) a) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)) 2) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)) 2) 2) (/.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)) 1) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)) 2) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)) 2) (sqrt.f64 (+.f64 a a))) (/.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 a (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) 3) (pow.f64 (+.f64 a a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 2 (/.f64 a (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) 3) (pow.f64 (+.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a))) 1)))))) |
| 1× | egg-herbie |
| 10× | fma-def_binary64 |
| 8× | *-commutative_binary64 |
| 3× | associate-*r*_binary64 |
| 3× | associate-*l*_binary64 |
| 2× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 231 |
| 1 | 24 | 231 |
| 2 | 39 | 231 |
| 3 | 49 | 231 |
| 4 | 51 | 231 |
| 5 | 52 | 231 |
| 1× | saturated |
| Inputs |
|---|
(*.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 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(*.f64 -1/2 (/.f64 b a)) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(*.f64 -1/2 (/.f64 b a)) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
| Outputs |
|---|
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a)) |
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b))) |
(+.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 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a)) |
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b))) |
(+.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 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a)) |
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b))) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 (*.f64 -1/2 b) a) |
(/.f64 -1/2 (/.f64 a b)) |
(+.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 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a)) |
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b))) |
(+.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 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a)) |
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b))) |
(+.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 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a)) |
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b))) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 (*.f64 -1/2 b) a) |
(/.f64 -1/2 (/.f64 a b)) |
(+.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 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a)) |
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b))) |
(+.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 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a)) |
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b))) |
(+.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 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a)) |
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b))) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 (*.f64 -1/2 b) a) |
(/.f64 -1/2 (/.f64 a b)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 (*.f64 -1/2 b) a) |
(/.f64 -1/2 (/.f64 a b)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) |
| ✓ | 0.1b | (*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a)) |
| ✓ | 0.1b | (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) |
| ✓ | 0.5b | (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) |
Compiled 62 to 37 computations (40.3% saved)
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | a | @ | -inf | (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) |
| 4.0ms | a | @ | -inf | (*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a)) |
| 2.0ms | c | @ | 0 | (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) |
| 1.0ms | a | @ | -inf | (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) |
| 1.0ms | c | @ | inf | (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) |
| 1× | batch-egg-rewrite |
| 708× | log-prod_binary64 |
| 503× | prod-diff_binary64 |
| 262× | pow1/3_binary64 |
| 259× | expm1-udef_binary64 |
| 259× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 57 |
| 1 | 302 | 57 |
| 2 | 3827 | 57 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) |
(*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) |
(*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a)) |
(hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (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 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) (cbrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) (cbrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) 1)))))) |
| 1× | egg-herbie |
| 955× | times-frac_binary64 |
| 715× | associate-/l*_binary64 |
| 667× | fma-def_binary64 |
| 603× | unswap-sqr_binary64 |
| 527× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 169 | 1590 |
| 1 | 499 | 1328 |
| 2 | 1771 | 1283 |
| 3 | 7345 | 1283 |
| 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))))) |
b |
b |
(*.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 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) 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)) 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)) b))) |
(*.f64 -1 b) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 -1 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 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 (*.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 b)))) |
| 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 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a))))) b)) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 1/2 b) (/.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) (-.f64 (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a))))) 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 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) |
(*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) |
(/.f64 (*.f64 1/2 (*.f64 (*.f64 c a) -4)) b) |
(/.f64 (*.f64 a (*.f64 c -4)) (/.f64 b 1/2)) |
(+.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 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 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))) |
(fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3))) |
(fma.f64 1/2 (*.f64 (/.f64 -4 (/.f64 b c)) a) (/.f64 (*.f64 -2 (*.f64 c (*.f64 c (*.f64 a a)))) (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)))) |
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(fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 b a))) |
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(*.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) |
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(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 c (/.f64 (pow.f64 b 3) c))) (/.f64 (neg.f64 c) b)) |
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(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
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(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)) |
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(fma.f64 1/16 (*.f64 (*.f64 a 16) (/.f64 c (/.f64 (pow.f64 b 3) c))) (-.f64 (/.f64 c b) (/.f64 b a))) |
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(-.f64 (fma.f64 1/16 (*.f64 (*.f64 a 16) (/.f64 c (/.f64 (pow.f64 b 3) c))) (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)) |
(fma.f64 1/16 (*.f64 (*.f64 a 16) (/.f64 c (/.f64 (pow.f64 b 3) c))) (fma.f64 (*.f64 (*.f64 (*.f64 a a) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) -1/32 (-.f64 (/.f64 c b) (/.f64 b a)))) |
b |
b |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
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(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 1/2 b) (/.f64 (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 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 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a))))))) |
(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 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 (*.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 a 5) (pow.f64 c 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 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))) (fma.f64 1/16 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 5) (pow.f64 b 6))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))))))) |
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (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 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 |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) b) |
(fma.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) b) |
(fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) b) |
(fma.f64 1/2 (*.f64 (/.f64 -4 (/.f64 b c)) a) 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)) 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 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) b)) |
(+.f64 b (fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3)))) |
(fma.f64 1/2 (*.f64 (/.f64 -4 (/.f64 b c)) a) (+.f64 b (/.f64 (*.f64 -2 (*.f64 c (*.f64 c (*.f64 a a)))) (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)) 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 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) b))) |
(+.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 a 3)) (/.f64 (pow.f64 b 5) -64)) (fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) b))) |
(+.f64 (/.f64 (*.f64 -2 (*.f64 c (*.f64 c (*.f64 a a)))) (pow.f64 b 3)) (fma.f64 1/16 (*.f64 (*.f64 (pow.f64 a 3) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 1/2 (*.f64 (/.f64 -4 (/.f64 b c)) a) b))) |
(*.f64 -1 b) |
(neg.f64 b) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 -1 b)) |
(fma.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) (neg.f64 b)) |
(-.f64 (*.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2) b) |
(-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 c -4)) -1/2) b) 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 b))) |
(fma.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)))) (neg.f64 b))) |
(-.f64 (fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (/.f64 (*.f64 (*.f64 1/8 (*.f64 c c)) (*.f64 a (*.f64 a 16))) (pow.f64 b 3))) b) |
(-.f64 (fma.f64 (*.f64 (/.f64 -4 (/.f64 b c)) a) -1/2 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a (*.f64 a 16)) 1/8)) (pow.f64 b 3))) 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 (*.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 b)))) |
(fma.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)))) (neg.f64 b)))) |
(fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) 1/8 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -64)) -1/16)) b)) |
(fma.f64 (*.f64 (/.f64 -4 (/.f64 b c)) a) -1/2 (fma.f64 (*.f64 (*.f64 (pow.f64 a 3) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) -1/16 (-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a (*.f64 a 16)) 1/8)) (pow.f64 b 3)) b))) |
Compiled 17582 to 10487 computations (40.4% saved)
36 alts after pruning (29 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 727 | 16 | 743 |
| Fresh | 7 | 13 | 20 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 6 | 8 |
| Total | 736 | 36 | 772 |
| Status | Error | Program |
|---|---|---|
| 52.1b | (pow.f64 (*.f64 2 (/.f64 a (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b))) -1) | |
| 59.7b | (*.f64 (*.f64 (*.f64 c a) (*.f64 (cbrt.f64 b) -2)) (/.f64 1/2 a)) | |
| 47.2b | (/.f64 1 (*.f64 (/.f64 2 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)) b) b)) a)) | |
| ▶ | 40.6b | (/.f64 (neg.f64 c) b) |
| 47.6b | (pow.f64 (sqrt.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (/.f64 a 1/2))) 2) | |
| ✓ | 36.4b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| ✓ | 44.7b | (-.f64 (/.f64 c b) (/.f64 b a)) |
| 47.0b | (/.f64 (+.f64 (neg.f64 b) (exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 a -4))) 1/2))) (*.f64 2 a)) | |
| 52.2b | (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a))) 3) | |
| 57.2b | (/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (*.f64 (/.f64 a b) c) b)) (*.f64 2 a)) | |
| 51.5b | (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 3/2) 1/3) b) (/.f64 1/2 a)) | |
| ✓ | 44.5b | (/.f64 (neg.f64 b) a) |
| ✓ | 47.2b | (*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a)) |
| 46.0b | (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 1 (*.f64 a -2))) | |
| 41.0b | (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) | |
| ✓ | 62.3b | (/.f64 b a) |
| 44.6b | (/.f64 1 (*.f64 (/.f64 2 (*.f64 b -2)) a)) | |
| ▶ | 57.6b | (/.f64 c b) |
| 44.6b | (*.f64 (*.f64 b -2) (/.f64 1/2 a)) | |
| 47.5b | (/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)))) | |
| 45.7b | (*.f64 (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 c -4)) -1/2) b) b) b) (/.f64 1/2 a)) | |
| ✓ | 46.0b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
| 61.3b | (*.f64 (cbrt.f64 b) (neg.f64 c)) | |
| ✓ | 45.9b | (*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a)) |
| 62.2b | (*.f64 -1 (*.f64 c (pow.f64 (*.f64 1 b) 1/3))) | |
| 62.3b | (*.f64 (/.f64 1/2 a) (+.f64 b b)) | |
| ▶ | 54.3b | (/.f64 (-.f64 a (*.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)) |
| 50.7b | (/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 3/2))) (*.f64 2 a)) | |
| ▶ | 56.9b | (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 b b) 3/2) 1/3) b) (/.f64 1/2 a)) |
| 51.2b | (/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a)) | |
| 44.6b | (/.f64 1 (/.f64 (neg.f64 a) b)) | |
| 53.9b | (/.f64 (/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) b) a) | |
| 46.4b | (/.f64 (*.f64 (/.f64 1/2 a) (-.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (*.f64 b b))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) | |
| 46.0b | (/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 1/4) 2)) (*.f64 2 a)) | |
| 47.2b | (/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))) b) 1/2))) | |
| ▶ | 52.1b | (*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a)) |
Compiled 991 to 718 computations (27.5% saved)
Compiled 11 to 5 computations (54.5% saved)
Compiled 8 to 4 computations (50% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 a (*.f64 (/.f64 b c) b)) |
| ✓ | 0.2b | (*.f64 (/.f64 b c) b) |
| ✓ | 5.1b | (*.f64 (/.f64 b c) a) |
| ✓ | 20.8b | (/.f64 (-.f64 a (*.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)) |
Compiled 39 to 8 computations (79.5% saved)
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | c | @ | 0 | (*.f64 (/.f64 b c) a) |
| 1.0ms | b | @ | inf | (/.f64 (-.f64 a (*.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)) |
| 1.0ms | c | @ | 0 | (/.f64 (-.f64 a (*.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)) |
| 1.0ms | a | @ | 0 | (/.f64 (-.f64 a (*.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)) |
| 1.0ms | c | @ | inf | (/.f64 (-.f64 a (*.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)) |
| 1× | batch-egg-rewrite |
| 707× | log-prod_binary64 |
| 304× | pow2_binary64 |
| 246× | fma-def_binary64 |
| 227× | log-div_binary64 |
| 226× | pow-unpow_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 43 |
| 1 | 212 | 43 |
| 2 | 3525 | 37 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 a (*.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)) |
(*.f64 (/.f64 b c) a) |
(*.f64 (/.f64 b c) b) |
(-.f64 a (*.f64 (/.f64 b c) b)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 c b) (neg.f64 (*.f64 1 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 c b) (*.f64 1 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 c b) (*.f64 1 (/.f64 b a))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 c b) (*.f64 1 (/.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 c b) (*.f64 1 (/.f64 b a)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 c b) (*.f64 1 (/.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 c b) (*.f64 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (/.f64 c b) (*.f64 1 (/.f64 b a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 a (/.f64 b (/.f64 c b))) (/.f64 (/.f64 c b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 c b) (*.f64 1 (/.f64 b a))) 1)))) 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| 1× | egg-herbie |
| 762× | div-sub_binary64 |
| 573× | fma-neg_binary64 |
| 546× | fma-def_binary64 |
| 486× | times-frac_binary64 |
| 358× | associate-*l/_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 1153 |
| 1 | 33 | 1045 |
| 2 | 64 | 1045 |
| 3 | 126 | 1045 |
| 4 | 334 | 1045 |
| 5 | 1153 | 1045 |
| 6 | 3354 | 1045 |
| 7 | 6566 | 1045 |
| 1× | node limit |
| Inputs |
|---|
(*.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))) |
(/.f64 (*.f64 a b) c) |
(/.f64 (*.f64 a b) c) |
(/.f64 (*.f64 a b) c) |
(/.f64 (*.f64 a b) c) |
(/.f64 (*.f64 a b) c) |
(/.f64 (*.f64 a b) c) |
(/.f64 (*.f64 a b) c) |
(/.f64 (*.f64 a b) c) |
(/.f64 (*.f64 a b) c) |
(/.f64 (*.f64 a b) c) |
(/.f64 (*.f64 a b) c) |
(/.f64 (*.f64 a b) c) |
(/.f64 (*.f64 a b) c) |
(/.f64 (*.f64 a b) c) |
(/.f64 (*.f64 a b) c) |
(/.f64 (*.f64 a b) c) |
(/.f64 (*.f64 a b) c) |
(/.f64 (*.f64 a b) c) |
(/.f64 (*.f64 a b) c) |
(/.f64 (*.f64 a b) c) |
(/.f64 (*.f64 a b) c) |
(/.f64 (*.f64 a b) c) |
(/.f64 (*.f64 a b) c) |
(/.f64 (*.f64 a b) c) |
(/.f64 (*.f64 a b) c) |
(/.f64 (*.f64 a b) c) |
(/.f64 (*.f64 a b) c) |
(/.f64 (*.f64 a b) c) |
(/.f64 (*.f64 a b) c) |
(/.f64 (*.f64 a b) c) |
(/.f64 (*.f64 a b) c) |
(/.f64 (*.f64 a b) c) |
(/.f64 (*.f64 a b) c) |
(/.f64 (*.f64 a b) c) |
(/.f64 (*.f64 a b) c) |
(/.f64 (*.f64 a b) c) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (pow.f64 b 2) c) |
(*.f64 -1 (/.f64 (pow.f64 b 2) c)) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
a |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
a |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
a |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) c)) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) c)) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) c)) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
a |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
a |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
| Outputs |
|---|
(*.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 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.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 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.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 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.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 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 (*.f64 a b) c) |
(/.f64 a (/.f64 c b)) |
(/.f64 b (/.f64 c a)) |
(*.f64 (/.f64 b c) a) |
(*.f64 b (/.f64 a c)) |
(/.f64 (*.f64 a b) c) |
(/.f64 a (/.f64 c b)) |
(/.f64 b (/.f64 c a)) |
(*.f64 (/.f64 b c) a) |
(*.f64 b (/.f64 a c)) |
(/.f64 (*.f64 a b) c) |
(/.f64 a (/.f64 c b)) |
(/.f64 b (/.f64 c a)) |
(*.f64 (/.f64 b c) a) |
(*.f64 b (/.f64 a c)) |
(/.f64 (*.f64 a b) c) |
(/.f64 a (/.f64 c b)) |
(/.f64 b (/.f64 c a)) |
(*.f64 (/.f64 b c) a) |
(*.f64 b (/.f64 a c)) |
(/.f64 (*.f64 a b) c) |
(/.f64 a (/.f64 c b)) |
(/.f64 b (/.f64 c a)) |
(*.f64 (/.f64 b c) a) |
(*.f64 b (/.f64 a c)) |
(/.f64 (*.f64 a b) c) |
(/.f64 a (/.f64 c b)) |
(/.f64 b (/.f64 c a)) |
(*.f64 (/.f64 b c) a) |
(*.f64 b (/.f64 a c)) |
(/.f64 (*.f64 a b) c) |
(/.f64 a (/.f64 c b)) |
(/.f64 b (/.f64 c a)) |
(*.f64 (/.f64 b c) a) |
(*.f64 b (/.f64 a c)) |
(/.f64 (*.f64 a b) c) |
(/.f64 a (/.f64 c b)) |
(/.f64 b (/.f64 c a)) |
(*.f64 (/.f64 b c) a) |
(*.f64 b (/.f64 a c)) |
(/.f64 (*.f64 a b) c) |
(/.f64 a (/.f64 c b)) |
(/.f64 b (/.f64 c a)) |
(*.f64 (/.f64 b c) a) |
(*.f64 b (/.f64 a c)) |
(/.f64 (*.f64 a b) c) |
(/.f64 a (/.f64 c b)) |
(/.f64 b (/.f64 c a)) |
(*.f64 (/.f64 b c) a) |
(*.f64 b (/.f64 a c)) |
(/.f64 (*.f64 a b) c) |
(/.f64 a (/.f64 c b)) |
(/.f64 b (/.f64 c a)) |
(*.f64 (/.f64 b c) a) |
(*.f64 b (/.f64 a c)) |
(/.f64 (*.f64 a b) c) |
(/.f64 a (/.f64 c b)) |
(/.f64 b (/.f64 c a)) |
(*.f64 (/.f64 b c) a) |
(*.f64 b (/.f64 a c)) |
(/.f64 (*.f64 a b) c) |
(/.f64 a (/.f64 c b)) |
(/.f64 b (/.f64 c a)) |
(*.f64 (/.f64 b c) a) |
(*.f64 b (/.f64 a c)) |
(/.f64 (*.f64 a b) c) |
(/.f64 a (/.f64 c b)) |
(/.f64 b (/.f64 c a)) |
(*.f64 (/.f64 b c) a) |
(*.f64 b (/.f64 a c)) |
(/.f64 (*.f64 a b) c) |
(/.f64 a (/.f64 c b)) |
(/.f64 b (/.f64 c a)) |
(*.f64 (/.f64 b c) a) |
(*.f64 b (/.f64 a c)) |
(/.f64 (*.f64 a b) c) |
(/.f64 a (/.f64 c b)) |
(/.f64 b (/.f64 c a)) |
(*.f64 (/.f64 b c) a) |
(*.f64 b (/.f64 a c)) |
(/.f64 (*.f64 a b) c) |
(/.f64 a (/.f64 c b)) |
(/.f64 b (/.f64 c a)) |
(*.f64 (/.f64 b c) a) |
(*.f64 b (/.f64 a c)) |
(/.f64 (*.f64 a b) c) |
(/.f64 a (/.f64 c b)) |
(/.f64 b (/.f64 c a)) |
(*.f64 (/.f64 b c) a) |
(*.f64 b (/.f64 a c)) |
(/.f64 (*.f64 a b) c) |
(/.f64 a (/.f64 c b)) |
(/.f64 b (/.f64 c a)) |
(*.f64 (/.f64 b c) a) |
(*.f64 b (/.f64 a c)) |
(/.f64 (*.f64 a b) c) |
(/.f64 a (/.f64 c b)) |
(/.f64 b (/.f64 c a)) |
(*.f64 (/.f64 b c) a) |
(*.f64 b (/.f64 a c)) |
(/.f64 (*.f64 a b) c) |
(/.f64 a (/.f64 c b)) |
(/.f64 b (/.f64 c a)) |
(*.f64 (/.f64 b c) a) |
(*.f64 b (/.f64 a c)) |
(/.f64 (*.f64 a b) c) |
(/.f64 a (/.f64 c b)) |
(/.f64 b (/.f64 c a)) |
(*.f64 (/.f64 b c) a) |
(*.f64 b (/.f64 a c)) |
(/.f64 (*.f64 a b) c) |
(/.f64 a (/.f64 c b)) |
(/.f64 b (/.f64 c a)) |
(*.f64 (/.f64 b c) a) |
(*.f64 b (/.f64 a c)) |
(/.f64 (*.f64 a b) c) |
(/.f64 a (/.f64 c b)) |
(/.f64 b (/.f64 c a)) |
(*.f64 (/.f64 b c) a) |
(*.f64 b (/.f64 a c)) |
(/.f64 (*.f64 a b) c) |
(/.f64 a (/.f64 c b)) |
(/.f64 b (/.f64 c a)) |
(*.f64 (/.f64 b c) a) |
(*.f64 b (/.f64 a c)) |
(/.f64 (*.f64 a b) c) |
(/.f64 a (/.f64 c b)) |
(/.f64 b (/.f64 c a)) |
(*.f64 (/.f64 b c) a) |
(*.f64 b (/.f64 a c)) |
(/.f64 (*.f64 a b) c) |
(/.f64 a (/.f64 c b)) |
(/.f64 b (/.f64 c a)) |
(*.f64 (/.f64 b c) a) |
(*.f64 b (/.f64 a c)) |
(/.f64 (*.f64 a b) c) |
(/.f64 a (/.f64 c b)) |
(/.f64 b (/.f64 c a)) |
(*.f64 (/.f64 b c) a) |
(*.f64 b (/.f64 a c)) |
(/.f64 (*.f64 a b) c) |
(/.f64 a (/.f64 c b)) |
(/.f64 b (/.f64 c a)) |
(*.f64 (/.f64 b c) a) |
(*.f64 b (/.f64 a c)) |
(/.f64 (*.f64 a b) c) |
(/.f64 a (/.f64 c b)) |
(/.f64 b (/.f64 c a)) |
(*.f64 (/.f64 b c) a) |
(*.f64 b (/.f64 a c)) |
(/.f64 (*.f64 a b) c) |
(/.f64 a (/.f64 c b)) |
(/.f64 b (/.f64 c a)) |
(*.f64 (/.f64 b c) a) |
(*.f64 b (/.f64 a c)) |
(/.f64 (*.f64 a b) c) |
(/.f64 a (/.f64 c b)) |
(/.f64 b (/.f64 c a)) |
(*.f64 (/.f64 b c) a) |
(*.f64 b (/.f64 a c)) |
(/.f64 (*.f64 a b) c) |
(/.f64 a (/.f64 c b)) |
(/.f64 b (/.f64 c a)) |
(*.f64 (/.f64 b c) a) |
(*.f64 b (/.f64 a c)) |
(/.f64 (*.f64 a b) c) |
(/.f64 a (/.f64 c b)) |
(/.f64 b (/.f64 c a)) |
(*.f64 (/.f64 b c) a) |
(*.f64 b (/.f64 a c)) |
(/.f64 (*.f64 a b) c) |
(/.f64 a (/.f64 c b)) |
(/.f64 b (/.f64 c a)) |
(*.f64 (/.f64 b c) a) |
(*.f64 b (/.f64 a c)) |
(/.f64 (*.f64 a b) c) |
(/.f64 a (/.f64 c b)) |
(/.f64 b (/.f64 c a)) |
(*.f64 (/.f64 b c) a) |
(*.f64 b (/.f64 a c)) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (*.f64 b b) c) |
(*.f64 b (/.f64 b c)) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (*.f64 b b) c) |
(*.f64 b (/.f64 b c)) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (*.f64 b b) c) |
(*.f64 b (/.f64 b c)) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (*.f64 b b) c) |
(*.f64 b (/.f64 b c)) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (*.f64 b b) c) |
(*.f64 b (/.f64 b c)) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (*.f64 b b) c) |
(*.f64 b (/.f64 b c)) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (*.f64 b b) c) |
(*.f64 b (/.f64 b c)) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (*.f64 b b) c) |
(*.f64 b (/.f64 b c)) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (*.f64 b b) c) |
(*.f64 b (/.f64 b c)) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (*.f64 b b) c) |
(*.f64 b (/.f64 b c)) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (*.f64 b b) c) |
(*.f64 b (/.f64 b c)) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (*.f64 b b) c) |
(*.f64 b (/.f64 b c)) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (*.f64 b b) c) |
(*.f64 b (/.f64 b c)) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (*.f64 b b) c) |
(*.f64 b (/.f64 b c)) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (*.f64 b b) c) |
(*.f64 b (/.f64 b c)) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (*.f64 b b) c) |
(*.f64 b (/.f64 b c)) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (*.f64 b b) c) |
(*.f64 b (/.f64 b c)) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (*.f64 b b) c) |
(*.f64 b (/.f64 b c)) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (*.f64 b b) c) |
(*.f64 b (/.f64 b c)) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (*.f64 b b) c) |
(*.f64 b (/.f64 b c)) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (*.f64 b b) c) |
(*.f64 b (/.f64 b c)) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (*.f64 b b) c) |
(*.f64 b (/.f64 b c)) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (*.f64 b b) c) |
(*.f64 b (/.f64 b c)) |
(/.f64 (pow.f64 b 2) c) |
(/.f64 (*.f64 b b) c) |
(*.f64 b (/.f64 b c)) |
(*.f64 -1 (/.f64 (pow.f64 b 2) c)) |
(neg.f64 (/.f64 (*.f64 b b) c)) |
(/.f64 (*.f64 (neg.f64 b) b) c) |
(/.f64 (neg.f64 b) (/.f64 c b)) |
(*.f64 (/.f64 b c) (neg.f64 b)) |
(/.f64 (*.f64 b (neg.f64 b)) c) |
(*.f64 b (/.f64 (neg.f64 b) c)) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (neg.f64 (/.f64 (*.f64 b b) c))) |
(-.f64 a (/.f64 (*.f64 b b) c)) |
(-.f64 a (*.f64 b (/.f64 b c))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (neg.f64 (/.f64 (*.f64 b b) c))) |
(-.f64 a (/.f64 (*.f64 b b) c)) |
(-.f64 a (*.f64 b (/.f64 b c))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (neg.f64 (/.f64 (*.f64 b b) c))) |
(-.f64 a (/.f64 (*.f64 b b) c)) |
(-.f64 a (*.f64 b (/.f64 b c))) |
a |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (neg.f64 (/.f64 (*.f64 b b) c))) |
(-.f64 a (/.f64 (*.f64 b b) c)) |
(-.f64 a (*.f64 b (/.f64 b c))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (neg.f64 (/.f64 (*.f64 b b) c))) |
(-.f64 a (/.f64 (*.f64 b b) c)) |
(-.f64 a (*.f64 b (/.f64 b c))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (neg.f64 (/.f64 (*.f64 b b) c))) |
(-.f64 a (/.f64 (*.f64 b b) c)) |
(-.f64 a (*.f64 b (/.f64 b c))) |
a |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (neg.f64 (/.f64 (*.f64 b b) c))) |
(-.f64 a (/.f64 (*.f64 b b) c)) |
(-.f64 a (*.f64 b (/.f64 b c))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (neg.f64 (/.f64 (*.f64 b b) c))) |
(-.f64 a (/.f64 (*.f64 b b) c)) |
(-.f64 a (*.f64 b (/.f64 b c))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (neg.f64 (/.f64 (*.f64 b b) c))) |
(-.f64 a (/.f64 (*.f64 b b) c)) |
(-.f64 a (*.f64 b (/.f64 b c))) |
a |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (neg.f64 (/.f64 (*.f64 b b) c))) |
(-.f64 a (/.f64 (*.f64 b b) c)) |
(-.f64 a (*.f64 b (/.f64 b c))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (neg.f64 (/.f64 (*.f64 b b) c))) |
(-.f64 a (/.f64 (*.f64 b b) c)) |
(-.f64 a (*.f64 b (/.f64 b c))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (neg.f64 (/.f64 (*.f64 b b) c))) |
(-.f64 a (/.f64 (*.f64 b b) c)) |
(-.f64 a (*.f64 b (/.f64 b c))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) c)) |
(neg.f64 (/.f64 (*.f64 b b) c)) |
(/.f64 (*.f64 (neg.f64 b) b) c) |
(/.f64 (neg.f64 b) (/.f64 c b)) |
(*.f64 (/.f64 b c) (neg.f64 b)) |
(/.f64 (*.f64 b (neg.f64 b)) c) |
(*.f64 b (/.f64 (neg.f64 b) c)) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (neg.f64 (/.f64 (*.f64 b b) c))) |
(-.f64 a (/.f64 (*.f64 b b) c)) |
(-.f64 a (*.f64 b (/.f64 b c))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (neg.f64 (/.f64 (*.f64 b b) c))) |
(-.f64 a (/.f64 (*.f64 b b) c)) |
(-.f64 a (*.f64 b (/.f64 b c))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (neg.f64 (/.f64 (*.f64 b b) c))) |
(-.f64 a (/.f64 (*.f64 b b) c)) |
(-.f64 a (*.f64 b (/.f64 b c))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) c)) |
(neg.f64 (/.f64 (*.f64 b b) c)) |
(/.f64 (*.f64 (neg.f64 b) b) c) |
(/.f64 (neg.f64 b) (/.f64 c b)) |
(*.f64 (/.f64 b c) (neg.f64 b)) |
(/.f64 (*.f64 b (neg.f64 b)) c) |
(*.f64 b (/.f64 (neg.f64 b) c)) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (neg.f64 (/.f64 (*.f64 b b) c))) |
(-.f64 a (/.f64 (*.f64 b b) c)) |
(-.f64 a (*.f64 b (/.f64 b c))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (neg.f64 (/.f64 (*.f64 b b) c))) |
(-.f64 a (/.f64 (*.f64 b b) c)) |
(-.f64 a (*.f64 b (/.f64 b c))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (neg.f64 (/.f64 (*.f64 b b) c))) |
(-.f64 a (/.f64 (*.f64 b b) c)) |
(-.f64 a (*.f64 b (/.f64 b c))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) c)) |
(neg.f64 (/.f64 (*.f64 b b) c)) |
(/.f64 (*.f64 (neg.f64 b) b) c) |
(/.f64 (neg.f64 b) (/.f64 c b)) |
(*.f64 (/.f64 b c) (neg.f64 b)) |
(/.f64 (*.f64 b (neg.f64 b)) c) |
(*.f64 b (/.f64 (neg.f64 b) c)) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (neg.f64 (/.f64 (*.f64 b b) c))) |
(-.f64 a (/.f64 (*.f64 b b) c)) |
(-.f64 a (*.f64 b (/.f64 b c))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (neg.f64 (/.f64 (*.f64 b b) c))) |
(-.f64 a (/.f64 (*.f64 b b) c)) |
(-.f64 a (*.f64 b (/.f64 b c))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (neg.f64 (/.f64 (*.f64 b b) c))) |
(-.f64 a (/.f64 (*.f64 b b) c)) |
(-.f64 a (*.f64 b (/.f64 b c))) |
a |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (neg.f64 (/.f64 (*.f64 b b) c))) |
(-.f64 a (/.f64 (*.f64 b b) c)) |
(-.f64 a (*.f64 b (/.f64 b c))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (neg.f64 (/.f64 (*.f64 b b) c))) |
(-.f64 a (/.f64 (*.f64 b b) c)) |
(-.f64 a (*.f64 b (/.f64 b c))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (neg.f64 (/.f64 (*.f64 b b) c))) |
(-.f64 a (/.f64 (*.f64 b b) c)) |
(-.f64 a (*.f64 b (/.f64 b c))) |
a |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (neg.f64 (/.f64 (*.f64 b b) c))) |
(-.f64 a (/.f64 (*.f64 b b) c)) |
(-.f64 a (*.f64 b (/.f64 b c))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (neg.f64 (/.f64 (*.f64 b b) c))) |
(-.f64 a (/.f64 (*.f64 b b) c)) |
(-.f64 a (*.f64 b (/.f64 b c))) |
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) c))) |
(+.f64 a (neg.f64 (/.f64 (*.f64 b b) c))) |
(-.f64 a (/.f64 (*.f64 b b) c)) |
(-.f64 a (*.f64 b (/.f64 b c))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (pow.f64 (*.f64 b b) 3/2) |
| ✓ | 1.4b | (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 b b) 3/2) 1/3) b) (/.f64 1/2 a)) |
| ✓ | 32.1b | (-.f64 (pow.f64 (pow.f64 (*.f64 b b) 3/2) 1/3) b) |
| ✓ | 39.3b | (pow.f64 (pow.f64 (*.f64 b b) 3/2) 1/3) |
Compiled 48 to 28 computations (41.7% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.9s | a | @ | 0 | (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 b b) 3/2) 1/3) b) (/.f64 1/2 a)) |
| 51.0ms | b | @ | 0 | (pow.f64 (pow.f64 (*.f64 b b) 3/2) 1/3) |
| 11.0ms | b | @ | inf | (pow.f64 (pow.f64 (*.f64 b b) 3/2) 1/3) |
| 1.0ms | a | @ | inf | (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 b b) 3/2) 1/3) b) (/.f64 1/2 a)) |
| 1.0ms | b | @ | 0 | (pow.f64 (*.f64 b b) 3/2) |
| 1× | batch-egg-rewrite |
| 720× | prod-diff_binary64 |
| 495× | log-prod_binary64 |
| 292× | pow2_binary64 |
| 269× | fma-def_binary64 |
| 201× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 40 |
| 1 | 277 | 19 |
| 2 | 3531 | 19 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (pow.f64 (*.f64 b b) 3/2) 1/3) |
(-.f64 (pow.f64 (pow.f64 (*.f64 b b) 3/2) 1/3) b) |
(*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 b b) 3/2) 1/3) b) (/.f64 1/2 a)) |
(pow.f64 (*.f64 b b) 3/2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 b)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2)) (log.f64 (cbrt.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 b))) (log.f64 (sqrt.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 b 4))) (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) b)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 b)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x . b)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 b)) 1/2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 b (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 b (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b b) (-.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b b) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b b) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 b) b)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b 1 (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4)))))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2))) (sqrt.f64 (cbrt.f64 (pow.f64 b 4))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 b (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 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(sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 b 3) (pow.f64 b 3)) (/.f64 1/2 a)) (pow.f64 (hypot.f64 b (hypot.f64 b b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (/.f64 1/2 a)) (+.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (-.f64 b b)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 b b) -1/2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 a) (-.f64 (pow.f64 b 3) (pow.f64 b 3))) (pow.f64 (hypot.f64 b (hypot.f64 b b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 a) (-.f64 (*.f64 b b) (*.f64 b b))) (+.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 b b) (/.f64 1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 b b) (/.f64 1/2 a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 b b) (/.f64 1/2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 b b) (/.f64 1/2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 b b) (/.f64 1/2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 b b) 3) (pow.f64 (/.f64 1/2 a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 1/2 a) 3) (pow.f64 (-.f64 b b) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 (-.f64 b b) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 b b) (/.f64 1/2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (-.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 b b) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 b b) (/.f64 1/2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 b 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 b b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 b b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 b b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 b b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 b b) (/.f64 1/2 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (/.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) b (*.f64 (/.f64 1/2 a) (neg.f64 b))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 b 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 b 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 b 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b b) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 b 4)) (*.f64 (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b 3/2) (pow.f64 b 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 3/2) (pow.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 b 4)) 3/2) (pow.f64 (pow.f64 (cbrt.f64 b) 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 b b) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 b b) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 b b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 b 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 b)) 1)))))) |
| 1× | egg-herbie |
| 708× | fma-neg_binary64 |
| 606× | distribute-rgt-neg-in_binary64 |
| 540× | distribute-lft-neg-in_binary64 |
| 526× | associate-*l*_binary64 |
| 362× | unswap-sqr_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 233 |
| 1 | 51 | 158 |
| 2 | 113 | 158 |
| 3 | 168 | 158 |
| 4 | 301 | 158 |
| 5 | 638 | 158 |
| 6 | 1798 | 158 |
| 7 | 3170 | 158 |
| 8 | 4231 | 158 |
| 9 | 5498 | 158 |
| 10 | 6571 | 158 |
| 11 | 7367 | 158 |
| 1× | node limit |
| Inputs |
|---|
b |
b |
b |
b |
b |
b |
b |
b |
(*.f64 -1 b) |
(*.f64 -1 b) |
(*.f64 -1 b) |
(*.f64 -1 b) |
b |
(+.f64 b (*.f64 -1 b)) |
(+.f64 b (*.f64 -1 b)) |
(+.f64 b (*.f64 -1 b)) |
(*.f64 -1 b) |
(+.f64 b (*.f64 -1 b)) |
(+.f64 b (*.f64 -1 b)) |
(+.f64 b (*.f64 -1 b)) |
(*.f64 -1 b) |
(*.f64 2 (*.f64 -1 b)) |
(*.f64 2 (*.f64 -1 b)) |
(*.f64 2 (*.f64 -1 b)) |
(*.f64 1/2 (/.f64 b a)) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 1/2 (/.f64 b a))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 1/2 (/.f64 b a))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 1/2 (/.f64 b a))) |
(*.f64 -1/2 (/.f64 b a)) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 1/2 (/.f64 b a))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 1/2 (/.f64 b a))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 1/2 (/.f64 b a))) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 2 (*.f64 -1/2 (/.f64 b a))) |
(*.f64 2 (*.f64 -1/2 (/.f64 b a))) |
(*.f64 2 (*.f64 -1/2 (/.f64 b a))) |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
(pow.f64 b 3) |
(pow.f64 b 3) |
(pow.f64 b 3) |
(pow.f64 b 3) |
(pow.f64 b 3) |
(pow.f64 b 3) |
(pow.f64 b 3) |
(pow.f64 b 3) |
(*.f64 -1 (pow.f64 b 3)) |
(*.f64 -1 (pow.f64 b 3)) |
(*.f64 -1 (pow.f64 b 3)) |
(*.f64 -1 (pow.f64 b 3)) |
| Outputs |
|---|
b |
b |
b |
b |
b |
b |
b |
b |
(*.f64 -1 b) |
(neg.f64 b) |
(*.f64 -1 b) |
(neg.f64 b) |
(*.f64 -1 b) |
(neg.f64 b) |
(*.f64 -1 b) |
(neg.f64 b) |
b |
(+.f64 b (*.f64 -1 b)) |
(*.f64 0 b) |
0 |
(+.f64 b (*.f64 -1 b)) |
(*.f64 0 b) |
0 |
(+.f64 b (*.f64 -1 b)) |
(*.f64 0 b) |
0 |
(*.f64 -1 b) |
(neg.f64 b) |
(+.f64 b (*.f64 -1 b)) |
(*.f64 0 b) |
0 |
(+.f64 b (*.f64 -1 b)) |
(*.f64 0 b) |
0 |
(+.f64 b (*.f64 -1 b)) |
(*.f64 0 b) |
0 |
(*.f64 -1 b) |
(neg.f64 b) |
(*.f64 2 (*.f64 -1 b)) |
(*.f64 -2 b) |
(*.f64 b -2) |
(*.f64 2 (*.f64 -1 b)) |
(*.f64 -2 b) |
(*.f64 b -2) |
(*.f64 2 (*.f64 -1 b)) |
(*.f64 -2 b) |
(*.f64 b -2) |
(*.f64 1/2 (/.f64 b a)) |
(*.f64 b (/.f64 1/2 a)) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 1/2 (/.f64 b a))) |
(*.f64 0 b) |
0 |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 1/2 (/.f64 b a))) |
(*.f64 0 b) |
0 |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 1/2 (/.f64 b a))) |
(*.f64 0 b) |
0 |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 (*.f64 -1/2 b) a) |
(/.f64 -1/2 (/.f64 a b)) |
(/.f64 b (/.f64 a -1/2)) |
(*.f64 (/.f64 b a) -1/2) |
(*.f64 b (/.f64 -1/2 a)) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 1/2 (/.f64 b a))) |
(*.f64 0 b) |
0 |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 1/2 (/.f64 b a))) |
(*.f64 0 b) |
0 |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 1/2 (/.f64 b a))) |
(*.f64 0 b) |
0 |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 (*.f64 -1/2 b) a) |
(/.f64 -1/2 (/.f64 a b)) |
(/.f64 b (/.f64 a -1/2)) |
(*.f64 (/.f64 b a) -1/2) |
(*.f64 b (/.f64 -1/2 a)) |
(*.f64 2 (*.f64 -1/2 (/.f64 b a))) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 2 (*.f64 -1/2 (/.f64 b a))) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 2 (*.f64 -1/2 (/.f64 b a))) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
0 |
(*.f64 0 b) |
0 |
(*.f64 0 b) |
0 |
(*.f64 0 b) |
0 |
(*.f64 0 b) |
0 |
(*.f64 0 b) |
0 |
(*.f64 0 b) |
0 |
(*.f64 0 b) |
0 |
(*.f64 0 b) |
0 |
(*.f64 0 b) |
0 |
(*.f64 0 b) |
0 |
(*.f64 0 b) |
0 |
(*.f64 0 b) |
(pow.f64 b 3) |
(pow.f64 b 3) |
(pow.f64 b 3) |
(pow.f64 b 3) |
(pow.f64 b 3) |
(pow.f64 b 3) |
(pow.f64 b 3) |
(pow.f64 b 3) |
(*.f64 -1 (pow.f64 b 3)) |
(neg.f64 (pow.f64 b 3)) |
(*.f64 -1 (pow.f64 b 3)) |
(neg.f64 (pow.f64 b 3)) |
(*.f64 -1 (pow.f64 b 3)) |
(neg.f64 (pow.f64 b 3)) |
(*.f64 -1 (pow.f64 b 3)) |
(neg.f64 (pow.f64 b 3)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) |
| ✓ | 0.1b | (*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a)) |
Compiled 40 to 24 computations (40% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | a | @ | inf | (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) |
| 2.0ms | a | @ | inf | (*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a)) |
| 2.0ms | c | @ | -inf | (*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a)) |
| 1.0ms | a | @ | -inf | (*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a)) |
| 1.0ms | a | @ | 0 | (*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a)) |
| 1× | batch-egg-rewrite |
| 557× | log-prod_binary64 |
| 417× | exp-prod_binary64 |
| 363× | pow-prod-down_binary64 |
| 301× | pow2_binary64 |
| 210× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 30 |
| 1 | 248 | 30 |
| 2 | 2884 | 30 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a)) |
(fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c)) (/.f64 1/2 a)) (*.f64 b (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 a) (sqrt.f64 (*.f64 (*.f64 a -4) c))) (*.f64 (/.f64 1/2 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) (/.f64 1/2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) (*.f64 a 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) 1/2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) 1/2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) 1/2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) 1/2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) 1/2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c)))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) -1/2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) (/.f64 1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) (/.f64 1/2 a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) (/.f64 1/2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) (/.f64 1/2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) (/.f64 1/2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) (/.f64 1/2 a)))) 2)) (cbrt.f64 (log.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) (/.f64 1/2 a))))) (sqrt.f64 (log.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) (/.f64 1/2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) (/.f64 1/2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) (/.f64 1/2 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) (/.f64 1/2 a)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) (/.f64 1/2 a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) (/.f64 1/2 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) (/.f64 1/2 a))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 a) (sqrt.f64 (*.f64 (*.f64 a -4) c)) (*.f64 (/.f64 1/2 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c)) (/.f64 1/2 a) (*.f64 b (/.f64 1/2 a))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c)) b)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) 1/2) (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c)) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c)))) (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c)))) 2) (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c)))) (sqrt.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a -4) c) 3/2) (pow.f64 b 3)) (+.f64 (*.f64 (*.f64 a -4) c) (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c)) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 a -4) c) (*.f64 b b)) (-.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c)) b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))))) 2)) (cbrt.f64 (log.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c)))))) (sqrt.f64 (log.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c)))) 1) 1)))))) |
| 1× | egg-herbie |
| 14× | fma-def_binary64 |
| 11× | *-commutative_binary64 |
| 3× | +-commutative_binary64 |
| 3× | associate-*r*_binary64 |
| 3× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 345 |
| 1 | 33 | 327 |
| 2 | 54 | 327 |
| 3 | 64 | 327 |
| 4 | 66 | 327 |
| 5 | 67 | 327 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 1/2 (/.f64 b a)) |
(*.f64 1/2 (/.f64 b 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 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a))) |
(*.f64 1/2 (/.f64 b a)) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a))) |
(*.f64 1/2 (/.f64 b a)) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a))) |
b |
b |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
b |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b) |
b |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 b a)) |
(/.f64 (*.f64 1/2 b) a) |
(*.f64 1/2 (/.f64 b a)) |
(/.f64 (*.f64 1/2 b) a) |
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4))) |
(+.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 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a))) |
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a))) |
(+.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 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a))) |
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a))) |
(+.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 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a))) |
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a))) |
(*.f64 1/2 (/.f64 b a)) |
(/.f64 (*.f64 1/2 b) a) |
(+.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 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a))) |
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a))) |
(+.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 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a))) |
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a))) |
(+.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 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a))) |
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a))) |
(*.f64 1/2 (/.f64 b a)) |
(/.f64 (*.f64 1/2 b) a) |
(+.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 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a))) |
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a))) |
(+.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 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a))) |
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a))) |
(+.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 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a))) |
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a))) |
b |
b |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) |
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) b) |
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)) b) |
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) b) |
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)) b) |
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) b) |
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)) b) |
b |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) b) |
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)) b) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) b) |
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)) b) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) b) |
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)) b) |
b |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) b) |
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)) b) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) b) |
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)) b) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) b) |
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)) b) |
Compiled 9708 to 4312 computations (55.6% saved)
39 alts after pruning (29 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 549 | 9 | 558 |
| Fresh | 4 | 20 | 24 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 9 | 11 |
| Total | 555 | 39 | 594 |
| Status | Error | Program |
|---|---|---|
| 52.1b | (pow.f64 (*.f64 2 (/.f64 a (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b))) -1) | |
| 54.2b | (/.f64 (*.f64 b (/.f64 (neg.f64 b) c)) (*.f64 (/.f64 b c) a)) | |
| 47.2b | (/.f64 1 (*.f64 (/.f64 2 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)) b) b)) a)) | |
| 47.9b | (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 a -4) c) (*.f64 b b)) (-.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c)) b)) (/.f64 1/2 a)) | |
| 57.2b | (*.f64 0 b) | |
| ✓ | 40.6b | (/.f64 (neg.f64 c) b) |
| ✓ | 36.4b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| ✓ | 44.7b | (-.f64 (/.f64 c b) (/.f64 b a)) |
| 55.6b | (pow.f64 (sqrt.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) (/.f64 1/2 a))) 2) | |
| 47.0b | (/.f64 (+.f64 (neg.f64 b) (exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 a -4))) 1/2))) (*.f64 2 a)) | |
| 52.2b | (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a))) 3) | |
| 57.2b | (/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (*.f64 (/.f64 a b) c) b)) (*.f64 2 a)) | |
| 51.5b | (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 3/2) 1/3) b) (/.f64 1/2 a)) | |
| ✓ | 44.5b | (/.f64 (neg.f64 b) a) |
| 41.0b | (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) | |
| ✓ | 62.3b | (/.f64 b a) |
| 44.6b | (/.f64 1 (*.f64 (/.f64 2 (*.f64 b -2)) a)) | |
| ✓ | 57.6b | (/.f64 c b) |
| 45.7b | (*.f64 (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 c -4)) -1/2) b) b) b) (/.f64 1/2 a)) | |
| ✓ | 46.0b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
| 61.3b | (*.f64 (cbrt.f64 b) (neg.f64 c)) | |
| ✓ | 45.9b | (*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a)) |
| 62.2b | (*.f64 -1 (*.f64 c (pow.f64 (*.f64 1 b) 1/3))) | |
| 62.3b | (*.f64 (/.f64 1/2 a) (+.f64 b b)) | |
| 47.7b | (*.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c)) b) (/.f64 1/2 a)) | |
| 57.7b | (/.f64 a (*.f64 (/.f64 b c) a)) | |
| ✓ | 52.1b | (*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a)) |
| 50.7b | (/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 3/2))) (*.f64 2 a)) | |
| 47.7b | (/.f64 1 (/.f64 a (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) 1/2))) | |
| 57.4b | (*.f64 (-.f64 (pow.f64 (neg.f64 (pow.f64 b 3)) 1/3) b) (/.f64 1/2 a)) | |
| 51.2b | (/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a)) | |
| 47.7b | (/.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) (*.f64 a 2)) | |
| 44.6b | (/.f64 1 (/.f64 (neg.f64 a) b)) | |
| ✓ | 47.2b | (*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a)) |
| 53.9b | (/.f64 (/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) b) a) | |
| 44.6b | (*.f64 (*.f64 b -2) (/.f64 1/2 a)) | |
| 46.4b | (/.f64 (*.f64 (/.f64 1/2 a) (-.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (*.f64 b b))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) | |
| 46.0b | (/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 1/4) 2)) (*.f64 2 a)) | |
| 47.2b | (/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))) b) 1/2))) |
Compiled 576 to 418 computations (27.4% saved)
| Inputs |
|---|
(*.f64 0 b) |
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 b) a) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 a (*.f64 (/.f64 b c) a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(*.f64 (/.f64 1/2 a) (+.f64 b b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(*.f64 (-.f64 b b) (/.f64 1/2 a)) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 1 (*.f64 (/.f64 2 (*.f64 b -2)) a)) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 (/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) b) a) |
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a)) |
(*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a)) |
(*.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 1/2 a)) |
(/.f64 (*.f64 b (/.f64 (neg.f64 b) c)) (*.f64 (/.f64 b c) a)) |
(/.f64 (-.f64 a (*.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)) |
(*.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (/.f64 1/2 a)) |
(*.f64 (-.f64 (-.f64 (/.f64 (*.f64 c 2) (/.f64 b a)) b) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 c -4)) -1/2) b) b) b) (/.f64 1/2 a)) |
(*.f64 (cbrt.f64 b) (neg.f64 c)) |
(*.f64 -1 (*.f64 c (pow.f64 (*.f64 1 b) 1/3))) |
(*.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c)) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) (*.f64 a 2)) |
(*.f64 (*.f64 (*.f64 c a) (*.f64 (cbrt.f64 b) -2)) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
(/.f64 1 (/.f64 a (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) 1/2))) |
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 1 (*.f64 a -2))) |
(*.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (*.f64 (/.f64 a b) c) b)) (*.f64 2 a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 a -4) c) (*.f64 b b)) (-.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c)) b)) (/.f64 1/2 a)) |
(*.f64 (-.f64 (pow.f64 (neg.f64 (pow.f64 b 3)) 1/3) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 b b) 3/2) 1/3) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a)) |
(/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)))) |
(*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) |
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 3/2))) (*.f64 2 a)) |
(*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 3/2) 1/3) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (fma.f64 -2 (*.f64 c (*.f64 a (cbrt.f64 b))) b) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 a -4))) 1/2))) (*.f64 2 a)) |
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 1/4) 2)) (*.f64 2 a)) |
(/.f64 1 (*.f64 (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)) a)) |
(/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a)) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) (/.f64 1/2 a))) 2) |
(*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))))) |
(*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a)) |
(pow.f64 (*.f64 2 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) -1) |
(/.f64 1 (*.f64 (/.f64 2 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)) b) b)) 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 b b (*.f64 (*.f64 a c) -4)) 3/2)) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2))) (*.f64 2 a)) |
(*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2) 1/3) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (exp.f64 (*.f64 (log.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 1/2))) (*.f64 2 a)) |
(/.f64 (*.f64 (/.f64 1/2 a) (-.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (*.f64 b b))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) |
(/.f64 (*.f64 (/.f64 1/2 a) (-.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 b b))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) |
(pow.f64 (*.f64 2 (/.f64 a (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b))) -1) |
(/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (*.f64 2 a)) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (/.f64 a 1/2))) 2) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 a -2))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a))) 3) |
| Outputs |
|---|
(/.f64 (neg.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 2 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)) b) b)) a)) |
(/.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:
| 407.0ms | c |
| 219.0ms | a |
| 206.0ms | b |
| 81.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| Error | Segments | Branch |
|---|---|---|
| 23.6b | 6 | a |
| 10.0b | 5 | b |
| 26.0b | 7 | c |
| 15.8b | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
Compiled 955 to 569 computations (40.4% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 222.0ms | 7.433584621236147e-26 | 5.327900929299429e-25 |
| 6.0ms | -8.788463235712444e-226 | -7.189063235950455e-232 |
| 12.0ms | -6.001061881899384e-165 | -7.19694211736994e-180 |
| 106.0ms | -2.7260503461486867e+162 | -9.50009772919301e+147 |
Compiled 574 to 417 computations (27.4% saved)
| Inputs |
|---|
(*.f64 0 b) |
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 b) a) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 a (*.f64 (/.f64 b c) a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(*.f64 (/.f64 1/2 a) (+.f64 b b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(*.f64 (-.f64 b b) (/.f64 1/2 a)) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 1 (*.f64 (/.f64 2 (*.f64 b -2)) a)) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 (/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) b) a) |
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a)) |
(*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a)) |
(*.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 1/2 a)) |
(/.f64 (*.f64 b (/.f64 (neg.f64 b) c)) (*.f64 (/.f64 b c) a)) |
(/.f64 (-.f64 a (*.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)) |
(*.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (/.f64 1/2 a)) |
(*.f64 (-.f64 (-.f64 (/.f64 (*.f64 c 2) (/.f64 b a)) b) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 c -4)) -1/2) b) b) b) (/.f64 1/2 a)) |
(*.f64 (cbrt.f64 b) (neg.f64 c)) |
(*.f64 -1 (*.f64 c (pow.f64 (*.f64 1 b) 1/3))) |
(*.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c)) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) (*.f64 a 2)) |
(*.f64 (*.f64 (*.f64 c a) (*.f64 (cbrt.f64 b) -2)) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
(/.f64 1 (/.f64 a (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) 1/2))) |
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 1 (*.f64 a -2))) |
(*.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (*.f64 (/.f64 a b) c) b)) (*.f64 2 a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 a -4) c) (*.f64 b b)) (-.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c)) b)) (/.f64 1/2 a)) |
(*.f64 (-.f64 (pow.f64 (neg.f64 (pow.f64 b 3)) 1/3) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 b b) 3/2) 1/3) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a)) |
(/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)))) |
(*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) |
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 3/2))) (*.f64 2 a)) |
(*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 3/2) 1/3) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (fma.f64 -2 (*.f64 c (*.f64 a (cbrt.f64 b))) b) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 a -4))) 1/2))) (*.f64 2 a)) |
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 1/4) 2)) (*.f64 2 a)) |
(/.f64 1 (*.f64 (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)) a)) |
(/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a)) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) (/.f64 1/2 a))) 2) |
(*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))))) |
(*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a)) |
(pow.f64 (*.f64 2 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) -1) |
| Outputs |
|---|
(/.f64 (neg.f64 b) a) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
(*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) 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 (neg.f64 c) b) |
4 calls:
| 208.0ms | c |
| 164.0ms | a |
| 136.0ms | b |
| 120.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| Error | Segments | Branch |
|---|---|---|
| 23.6b | 6 | a |
| 10.0b | 5 | b |
| 26.0b | 7 | c |
| 15.8b | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
Compiled 698 to 413 computations (40.8% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 145.0ms | 7.433584621236147e-26 | 5.327900929299429e-25 |
| 7.0ms | -8.788463235712444e-226 | -7.189063235950455e-232 |
| 6.0ms | -6.001061881899384e-165 | -7.19694211736994e-180 |
| 94.0ms | -2.7260503461486867e+162 | -9.50009772919301e+147 |
Compiled 570 to 413 computations (27.5% saved)
| Inputs |
|---|
(*.f64 0 b) |
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 b) a) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 a (*.f64 (/.f64 b c) a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(*.f64 (/.f64 1/2 a) (+.f64 b b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(*.f64 (-.f64 b b) (/.f64 1/2 a)) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 1 (*.f64 (/.f64 2 (*.f64 b -2)) a)) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 (/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) b) a) |
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a)) |
(*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a)) |
(*.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 1/2 a)) |
(/.f64 (*.f64 b (/.f64 (neg.f64 b) c)) (*.f64 (/.f64 b c) a)) |
(/.f64 (-.f64 a (*.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)) |
(*.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (/.f64 1/2 a)) |
(*.f64 (-.f64 (-.f64 (/.f64 (*.f64 c 2) (/.f64 b a)) b) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 c -4)) -1/2) b) b) b) (/.f64 1/2 a)) |
(*.f64 (cbrt.f64 b) (neg.f64 c)) |
(*.f64 -1 (*.f64 c (pow.f64 (*.f64 1 b) 1/3))) |
(*.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c)) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) (*.f64 a 2)) |
(*.f64 (*.f64 (*.f64 c a) (*.f64 (cbrt.f64 b) -2)) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
(/.f64 1 (/.f64 a (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) 1/2))) |
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 1 (*.f64 a -2))) |
(*.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (*.f64 (/.f64 a b) c) b)) (*.f64 2 a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 a -4) c) (*.f64 b b)) (-.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c)) b)) (/.f64 1/2 a)) |
(*.f64 (-.f64 (pow.f64 (neg.f64 (pow.f64 b 3)) 1/3) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 b b) 3/2) 1/3) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a)) |
(/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)))) |
(*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) |
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 3/2))) (*.f64 2 a)) |
(*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 3/2) 1/3) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (fma.f64 -2 (*.f64 c (*.f64 a (cbrt.f64 b))) b) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 a -4))) 1/2))) (*.f64 2 a)) |
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 1/4) 2)) (*.f64 2 a)) |
(/.f64 1 (*.f64 (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)) a)) |
(/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(*.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) (/.f64 1/2 a)) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) (/.f64 1/2 a))) 2) |
(*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))))) |
| Outputs |
|---|
(/.f64 (neg.f64 b) a) |
(/.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:
| 190.0ms | a |
| 179.0ms | c |
| 109.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| 80.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 25.9b | 7 | a |
| 11.1b | 3 | b |
| 29.5b | 4 | c |
| 15.8b | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
Compiled 667 to 392 computations (41.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 146.0ms | 7.433584621236147e-26 | 5.327900929299429e-25 |
| 94.0ms | -2.7260503461486867e+162 | -9.50009772919301e+147 |
Compiled 490 to 355 computations (27.6% saved)
| Inputs |
|---|
(*.f64 0 b) |
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 b) a) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 a (*.f64 (/.f64 b c) a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(*.f64 (/.f64 1/2 a) (+.f64 b b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(*.f64 (-.f64 b b) (/.f64 1/2 a)) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 1 (*.f64 (/.f64 2 (*.f64 b -2)) a)) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 (/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) b) a) |
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a)) |
(*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a)) |
(*.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 1/2 a)) |
(/.f64 (*.f64 b (/.f64 (neg.f64 b) c)) (*.f64 (/.f64 b c) a)) |
(/.f64 (-.f64 a (*.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)) |
(*.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (/.f64 1/2 a)) |
(*.f64 (-.f64 (-.f64 (/.f64 (*.f64 c 2) (/.f64 b a)) b) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 c -4)) -1/2) b) b) b) (/.f64 1/2 a)) |
(*.f64 (cbrt.f64 b) (neg.f64 c)) |
(*.f64 -1 (*.f64 c (pow.f64 (*.f64 1 b) 1/3))) |
(*.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c)) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) (*.f64 a 2)) |
(*.f64 (*.f64 (*.f64 c a) (*.f64 (cbrt.f64 b) -2)) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
(/.f64 1 (/.f64 a (*.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) 1/2))) |
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 1 (*.f64 a -2))) |
(*.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (*.f64 (/.f64 a b) c) b)) (*.f64 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 (neg.f64 c) b) |
3 calls:
| 260.0ms | c |
| 180.0ms | a |
| 77.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 32.5b | 8 | a |
| 14.5b | 3 | b |
| 33.3b | 10 | c |
Compiled 358 to 193 computations (46.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 262.0ms | 7.433584621236147e-26 | 5.327900929299429e-25 |
| 30.0ms | -1.27187114696786e-164 | -6.001061881899384e-165 |
Compiled 316 to 233 computations (26.3% saved)
| Inputs |
|---|
(*.f64 0 b) |
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 b) a) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 a (*.f64 (/.f64 b c) a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(*.f64 (/.f64 1/2 a) (+.f64 b b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(*.f64 (-.f64 b b) (/.f64 1/2 a)) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 1 (*.f64 (/.f64 2 (*.f64 b -2)) a)) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 (/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) b) a) |
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a)) |
(*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a)) |
(*.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 1/2 a)) |
(/.f64 (*.f64 b (/.f64 (neg.f64 b) c)) (*.f64 (/.f64 b c) a)) |
(/.f64 (-.f64 a (*.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)) |
(*.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (/.f64 1/2 a)) |
(*.f64 (-.f64 (-.f64 (/.f64 (*.f64 c 2) (/.f64 b a)) b) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 c -4)) -1/2) b) b) b) (/.f64 1/2 a)) |
(*.f64 (cbrt.f64 b) (neg.f64 c)) |
(*.f64 -1 (*.f64 c (pow.f64 (*.f64 1 b) 1/3))) |
(*.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c)) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) (*.f64 a 2)) |
(*.f64 (*.f64 (*.f64 c a) (*.f64 (cbrt.f64 b) -2)) (/.f64 1/2 a)) |
| Outputs |
|---|
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) (*.f64 a 2)) |
(/.f64 (neg.f64 c) b) |
3 calls:
| 298.0ms | c |
| 181.0ms | a |
| 47.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 32.5b | 8 | a |
| 14.7b | 3 | b |
| 33.3b | 10 | c |
Compiled 288 to 152 computations (47.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 357.0ms | 7.433584621236147e-26 | 5.327900929299429e-25 |
| 60.0ms | -1.27187114696786e-164 | -6.001061881899384e-165 |
Compiled 305 to 222 computations (27.2% saved)
| Inputs |
|---|
(*.f64 0 b) |
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 b) a) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 a (*.f64 (/.f64 b c) a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(*.f64 (/.f64 1/2 a) (+.f64 b b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(*.f64 (-.f64 b b) (/.f64 1/2 a)) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 1 (*.f64 (/.f64 2 (*.f64 b -2)) a)) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 (/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) b) a) |
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a)) |
(*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a)) |
(*.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 1/2 a)) |
(/.f64 (*.f64 b (/.f64 (neg.f64 b) c)) (*.f64 (/.f64 b c) a)) |
(/.f64 (-.f64 a (*.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)) |
(*.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (/.f64 1/2 a)) |
(*.f64 (-.f64 (-.f64 (/.f64 (*.f64 c 2) (/.f64 b a)) b) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 c -4)) -1/2) b) b) b) (/.f64 1/2 a)) |
(*.f64 (cbrt.f64 b) (neg.f64 c)) |
(*.f64 -1 (*.f64 c (pow.f64 (*.f64 1 b) 1/3))) |
(*.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c)) b) (/.f64 1/2 a)) |
| Outputs |
|---|
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c)) b) (/.f64 1/2 a)) |
(/.f64 (neg.f64 c) b) |
3 calls:
| 206.0ms | c |
| 144.0ms | a |
| 61.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 32.5b | 8 | a |
| 14.7b | 3 | b |
| 33.3b | 10 | c |
Compiled 264 to 138 computations (47.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 158.0ms | 7.433584621236147e-26 | 5.327900929299429e-25 |
| 30.0ms | -1.27187114696786e-164 | -6.001061881899384e-165 |
Compiled 305 to 222 computations (27.2% saved)
| Inputs |
|---|
(*.f64 0 b) |
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 b) a) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 a (*.f64 (/.f64 b c) a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(*.f64 (/.f64 1/2 a) (+.f64 b b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(*.f64 (-.f64 b b) (/.f64 1/2 a)) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 1 (*.f64 (/.f64 2 (*.f64 b -2)) a)) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 (/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) b) a) |
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a)) |
(*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a)) |
(*.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 1/2 a)) |
(/.f64 (*.f64 b (/.f64 (neg.f64 b) c)) (*.f64 (/.f64 b c) a)) |
(/.f64 (-.f64 a (*.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)) |
(*.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (/.f64 1/2 a)) |
(*.f64 (-.f64 (-.f64 (/.f64 (*.f64 c 2) (/.f64 b a)) b) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 c -4)) -1/2) b) b) b) (/.f64 1/2 a)) |
(*.f64 (cbrt.f64 b) (neg.f64 c)) |
(*.f64 -1 (*.f64 c (pow.f64 (*.f64 1 b) 1/3))) |
| Outputs |
|---|
(/.f64 (neg.f64 b) a) |
(/.f64 (neg.f64 c) b) |
3 calls:
| 413.0ms | a |
| 111.0ms | c |
| 51.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 33.1b | 8 | a |
| 22.5b | 2 | b |
| 37.2b | 5 | c |
Compiled 252 to 130 computations (48.4% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 86.0ms | 4.062956994504182e-239 | 5.535262371551062e-231 |
Compiled 170 to 127 computations (25.3% saved)
| Inputs |
|---|
(*.f64 0 b) |
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
| Outputs |
|---|
(/.f64 (neg.f64 c) b) |
3 calls:
| 7.0ms | a |
| 6.0ms | c |
| 6.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 40.6b | 1 | a |
| 40.6b | 1 | b |
| 40.6b | 1 | c |
Compiled 32 to 18 computations (43.8% saved)
Total -5.9b remaining (-10.4%)
Threshold costs -5.9b (-10.4%)
| Inputs |
|---|
(*.f64 0 b) |
(/.f64 c b) |
(/.f64 b a) |
| Outputs |
|---|
(*.f64 0 b) |
3 calls:
| 4.0ms | b |
| 4.0ms | a |
| 4.0ms | c |
| Error | Segments | Branch |
|---|---|---|
| 57.2b | 1 | a |
| 57.2b | 1 | b |
| 57.2b | 1 | c |
Compiled 24 to 16 computations (33.3% saved)
| 1× | egg-herbie |
| 18× | *-commutative_binary64 |
| 13× | +-commutative_binary64 |
| 11× | sub-neg_binary64 |
| 7× | neg-sub0_binary64 |
| 7× | neg-mul-1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 443 |
| 1 | 111 | 431 |
| 2 | 137 | 431 |
| 3 | 149 | 431 |
| 4 | 155 | 431 |
| 5 | 156 | 431 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 b -9600000000000000072686647772284979294731921795142661607304787670188551114056540982235711993759364733403154561853048740873708952592344760682446585856) (/.f64 (neg.f64 b) a) (if (<=.f64 b -5438853046443695/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (if (<=.f64 b -8739899877464283/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (/.f64 1 (*.f64 (/.f64 2 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)) b) b)) a)) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (/.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 -9600000000000000072686647772284979294731921795142661607304787670188551114056540982235711993759364733403154561853048740873708952592344760682446585856) (/.f64 (neg.f64 b) a) (if (<=.f64 b -5438853046443695/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (if (<=.f64 b -8739899877464283/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a)) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (/.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 -9600000000000000072686647772284979294731921795142661607304787670188551114056540982235711993759364733403154561853048740873708952592344760682446585856) (/.f64 (neg.f64 b) a) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (/.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 -6479883512364558336/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b -6479883512364558336/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (/.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) (*.f64 a 2)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b -6479883512364558336/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (*.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c)) b) (/.f64 1/2 a)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b 4926807918903085/117304950450073441093299338992332138457996243649210992760592177980666118165925495436678284352817677825758656549761022853424729541660972550965022826666248518125620733165482852770884817967017897067499683873717228533661411547573197142488509591988118713532416) (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 0 b) |
| Outputs |
|---|
(if (<=.f64 b -9600000000000000072686647772284979294731921795142661607304787670188551114056540982235711993759364733403154561853048740873708952592344760682446585856) (/.f64 (neg.f64 b) a) (if (<=.f64 b -5438853046443695/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (if (<=.f64 b -8739899877464283/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (/.f64 1 (*.f64 (/.f64 2 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)) b) b)) a)) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (/.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 -9600000000000000072686647772284979294731921795142661607304787670188551114056540982235711993759364733403154561853048740873708952592344760682446585856) (/.f64 (neg.f64 b) a) (if (<=.f64 b -5438853046443695/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a 4) c)))) (*.f64 a 2)) (if (<=.f64 b -8739899877464283/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (/.f64 1 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)) b) b)))) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (/.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 -9600000000000000072686647772284979294731921795142661607304787670188551114056540982235711993759364733403154561853048740873708952592344760682446585856) (/.f64 (neg.f64 b) a) (if (<=.f64 b -5438853046443695/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b) (*.f64 a 2)) (if (<=.f64 b -8739899877464283/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (/.f64 1 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)) b) b)))) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (/.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 -9600000000000000072686647772284979294731921795142661607304787670188551114056540982235711993759364733403154561853048740873708952592344760682446585856) (/.f64 (neg.f64 b) a) (if (<=.f64 b -5438853046443695/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (if (<=.f64 b -8739899877464283/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a)) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (/.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 -9600000000000000072686647772284979294731921795142661607304787670188551114056540982235711993759364733403154561853048740873708952592344760682446585856) (/.f64 (neg.f64 b) a) (if (<=.f64 b -5438853046443695/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a 4) c)))) (*.f64 a 2)) (if (<=.f64 b -8739899877464283/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)) b) b) (/.f64 1/2 a)) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (/.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 -9600000000000000072686647772284979294731921795142661607304787670188551114056540982235711993759364733403154561853048740873708952592344760682446585856) (/.f64 (neg.f64 b) a) (if (<=.f64 b -5438853046443695/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b) (*.f64 a 2)) (if (<=.f64 b -8739899877464283/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)) b) b) (/.f64 1/2 a)) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (/.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 -9600000000000000072686647772284979294731921795142661607304787670188551114056540982235711993759364733403154561853048740873708952592344760682446585856) (/.f64 (neg.f64 b) a) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (/.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 -9600000000000000072686647772284979294731921795142661607304787670188551114056540982235711993759364733403154561853048740873708952592344760682446585856) (/.f64 (neg.f64 b) a) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (/.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 -9600000000000000072686647772284979294731921795142661607304787670188551114056540982235711993759364733403154561853048740873708952592344760682446585856) (/.f64 (neg.f64 b) a) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (/.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 -6479883512364558336/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b -3164005621271757/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 a 2)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b -3164005621271757/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b -6479883512364558336/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (/.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 a -4) c))) (*.f64 a 2)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b -3164005621271757/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 a 2)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b -6479883512364558336/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (*.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c)) b) (/.f64 1/2 a)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b -3164005621271757/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (*.f64 (/.f64 1/2 a) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b 4926807918903085/117304950450073441093299338992332138457996243649210992760592177980666118165925495436678284352817677825758656549761022853424729541660972550965022826666248518125620733165482852770884817967017897067499683873717228533661411547573197142488509591988118713532416) (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 0 b) |
(*.f64 b 0) |
Compiled 315 to 207 computations (34.3% saved)
| 5× | egg-herbie |
| 981× | fma-def_binary64 |
| 981× | fma-def_binary64 |
| 981× | fma-def_binary64 |
| 978× | times-frac_binary64 |
| 970× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 26 |
| 1 | 33 | 22 |
| 2 | 72 | 22 |
| 3 | 163 | 22 |
| 4 | 266 | 22 |
| 5 | 435 | 22 |
| 6 | 747 | 22 |
| 7 | 1334 | 22 |
| 8 | 2704 | 22 |
| 9 | 4100 | 22 |
| 10 | 5724 | 22 |
| 11 | 6429 | 22 |
| 12 | 7085 | 22 |
| 13 | 7173 | 22 |
| 14 | 7735 | 22 |
| 15 | 7877 | 22 |
| 0 | 182 | 2075 |
| 1 | 576 | 2019 |
| 2 | 2099 | 1854 |
| 0 | 15 | 26 |
| 1 | 33 | 22 |
| 2 | 72 | 22 |
| 3 | 163 | 22 |
| 4 | 266 | 22 |
| 5 | 435 | 22 |
| 6 | 747 | 22 |
| 7 | 1334 | 22 |
| 8 | 2704 | 22 |
| 9 | 4100 | 22 |
| 10 | 5724 | 22 |
| 11 | 6429 | 22 |
| 12 | 7085 | 22 |
| 13 | 7173 | 22 |
| 14 | 7735 | 22 |
| 15 | 7877 | 22 |
| 0 | 15 | 26 |
| 1 | 33 | 22 |
| 2 | 72 | 22 |
| 3 | 163 | 22 |
| 4 | 266 | 22 |
| 5 | 435 | 22 |
| 6 | 747 | 22 |
| 7 | 1334 | 22 |
| 8 | 2704 | 22 |
| 9 | 4100 | 22 |
| 10 | 5724 | 22 |
| 11 | 6429 | 22 |
| 12 | 7085 | 22 |
| 13 | 7173 | 22 |
| 14 | 7735 | 22 |
| 15 | 7877 | 22 |
| 0 | 716 | 16463 |
| 1 | 2478 | 14324 |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
Compiled 1375 to 967 computations (29.7% saved)
Compiled 291 to 154 computations (47.1% saved)
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