Time bar (total: 16.1s)
| 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)
| 1.8s | 5579× | body | 256 | valid |
| 843.0ms | 1132× | body | 2048 | valid |
| 706.0ms | 747× | body | 1024 | valid |
| 400.0ms | 1559× | body | 256 | invalid |
| 321.0ms | 421× | body | 4096 | valid |
| 196.0ms | 377× | 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 |
|---|---|---|
| ▶ | 32.8b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| ▶ | 32.9b | (*.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)) |
| ✓ | 0.5b | (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) |
| ✓ | 21.0b | (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 | c | @ | -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)) |
| 1.0ms | 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 |
|---|---|---|
| ✓ | 0.2b | (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) |
| ✓ | 0.2b | (*.f64 (*.f64 4 a) c) |
| ✓ | 0.5b | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) |
| ✓ | 21.0b | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) |
Compiled 73 to 38 computations (47.9% saved)
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | b | @ | 0 | (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) |
| 1.0ms | a | @ | inf | (*.f64 (*.f64 4 a) c) |
| 1.0ms | b | @ | 0 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) |
| 1.0ms | c | @ | 0 | (*.f64 (*.f64 4 a) c) |
| 1.0ms | a | @ | 0 | (*.f64 (*.f64 4 a) c) |
| 1× | batch-egg-rewrite |
| 704× | fma-def_binary64 |
| 631× | log-prod_binary64 |
| 357× | fma-neg_binary64 |
| 327× | pow2_binary64 |
| 223× | expm1-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 55 |
| 1 | 276 | 47 |
| 2 | 3931 | 45 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) |
(*.f64 (*.f64 4 a) c) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) |
| Outputs |
|---|
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(sqrt.f64 (*.f64 c (*.f64 a -4)))) (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (fma.f64 (neg.f64 (*.f64 a c)) 4 (*.f64 4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (fma.f64 (*.f64 c (*.f64 a -4)) 1 (*.f64 4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 4 (*.f64 a c)))) (pow.f64 (cbrt.f64 (*.f64 4 (*.f64 a c))) 2) (*.f64 4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 a c))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (+.f64 (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 a c))) (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 a c))))))))) |
| 1× | egg-herbie |
| 712× | times-frac_binary64 |
| 667× | associate-*r*_binary64 |
| 633× | associate-*l*_binary64 |
| 621× | fma-def_binary64 |
| 437× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 1929 |
| 1 | 397 | 1849 |
| 2 | 1375 | 1750 |
| 3 | 7829 | 1750 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -1 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -2 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (*.f64 1/2 (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 (*.f64 1/2 (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 (*.f64 1/2 (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 (*.f64 -2 (*.f64 c a)) b)) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
(fma.f64 -2 (/.f64 (*.f64 c a) b) 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 (*.f64 -2 (*.f64 c a)) b))) |
(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 c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b)) 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 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (/.f64 (*.f64 -2 (*.f64 c a)) b)))) |
(+.f64 b (fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (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 (*.f64 -2 c) (/.f64 b a))))) |
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b)) (*.f64 (*.f64 -4 (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (pow.f64 a 3)))) |
(*.f64 -1 b) |
(neg.f64 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b)) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (neg.f64 b)) |
(-.f64 (/.f64 (*.f64 c 2) (/.f64 b a)) b) |
(-.f64 (/.f64 (*.f64 c a) (/.f64 b 2)) b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b))) |
(-.f64 (*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)))) b) |
(fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b)) (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 (*.f64 c a) b) (fma.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (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 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))) b)) |
(fma.f64 4 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b)) (neg.f64 b))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (/.f64 (*.f64 -2 (*.f64 c a)) b)) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
(fma.f64 -2 (/.f64 (*.f64 c a) b) 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 (*.f64 -2 (*.f64 c a)) b))) |
(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 c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b)) 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 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (/.f64 (*.f64 -2 (*.f64 c a)) b)))) |
(+.f64 b (fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (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 (*.f64 -2 c) (/.f64 b a))))) |
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b)) (*.f64 (*.f64 -4 (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (pow.f64 a 3)))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (/.f64 (*.f64 -2 (*.f64 c a)) b)) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
(fma.f64 -2 (/.f64 (*.f64 c a) b) 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 (*.f64 -2 (*.f64 c a)) b))) |
(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 c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b)) 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 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (/.f64 (*.f64 -2 (*.f64 c a)) b)))) |
(+.f64 b (fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (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 (*.f64 -2 c) (/.f64 b a))))) |
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b)) (*.f64 (*.f64 -4 (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (pow.f64 a 3)))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 (*.f64 1/2 (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 (*.f64 1/2 (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))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.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 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 -2 c) (/.f64 b a)) |
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(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 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (*.f64 -2 c) (/.f64 b a))))) |
(fma.f64 -1/2 (*.f64 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 20) (/.f64 (pow.f64 a 4) b)) (fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b)) (*.f64 (*.f64 -4 (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (pow.f64 a 3)))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 -2 c) (/.f64 b a)) |
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(*.f64 -2 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 (*.f64 c a) b))) |
(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)))) |
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(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (/.f64 (*.f64 -2 (*.f64 c a)) b))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (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 (*.f64 -2 c) (/.f64 b a)))) |
(fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b)) (*.f64 (*.f64 -4 (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (pow.f64 a 3))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 (pow.f64 a 4) (/.f64 b (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (*.f64 -2 (/.f64 (*.f64 c c) (pow.f64 b 3))) 2)))) (fma.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (/.f64 (*.f64 -2 (*.f64 c a)) b)))) |
(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 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (*.f64 -2 c) (/.f64 b a))))) |
(fma.f64 -1/2 (*.f64 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 20) (/.f64 (pow.f64 a 4) b)) (fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b)) (*.f64 (*.f64 -4 (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (pow.f64 a 3)))) |
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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)) |
(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 (*.f64 -4 a) c) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 (*.f64 -4 a) c) |
(*.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)) |
Compiled 17488 to 10498 computations (40% saved)
24 alts after pruning (23 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 601 | 23 | 624 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 602 | 24 | 626 |
| Status | Error | Program |
|---|---|---|
| ▶ | 41.3b | (*.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2)) b) (/.f64 1/2 a)) |
| 44.1b | (/.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 b b)) (*.f64 (*.f64 a 2) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) | |
| 33.0b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (pow.f64 (cbrt.f64 (*.f64 4 (*.f64 a c))) 3)))) (*.f64 2 a)) | |
| 45.7b | (/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (*.f64 2 a)) | |
| 34.3b | (/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 1/4) 2)) (*.f64 2 a)) | |
| ▶ | 44.9b | (*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a)) |
| ▶ | 30.8b | (/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2))) |
| ▶ | 55.4b | (*.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b) (/.f64 1/2 a)) |
| 34.3b | (*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2) b) (/.f64 1/2 a)) | |
| 43.0b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) | |
| 47.3b | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| 55.3b | (*.f64 (-.f64 b b) (/.f64 1/2 a)) | |
| 47.8b | (*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a)) | |
| ▶ | 47.1b | (/.f64 (neg.f64 b) a) |
| 38.8b | (/.f64 (neg.f64 c) b) | |
| 47.2b | (*.f64 (*.f64 b -2) (/.f64 1/2 a)) | |
| 42.9b | (/.f64 (/.f64 (-.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (*.f64 2 a)) | |
| 44.5b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1) (*.f64 2 a)) | |
| 44.8b | (/.f64 (/.f64 (*.f64 -2 c) (/.f64 b a)) (*.f64 2 a)) | |
| 48.0b | (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) | |
| 32.7b | (+.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (/.f64 1/2 a)) (*.f64 (neg.f64 b) (/.f64 1/2 a))) | |
| ✓ | 32.8b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| 30.8b | (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) b) (/.f64 1/2 a)) | |
| 44.9b | (/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a)) |
Compiled 814 to 572 computations (29.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) |
| ✓ | 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))) |
| ✓ | 12.0b | (sqrt.f64 (*.f64 (*.f64 a c) -4)) |
Compiled 83 to 46 computations (44.6% saved)
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | c | @ | inf | (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2)) |
| 8.0ms | a | @ | 0 | (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) |
| 6.0ms | c | @ | inf | (/.f64 1 (/.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))) |
| 5.0ms | c | @ | -inf | (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2)) |
| 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 | 4220 | 66 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (*.f64 a c) -4)) |
(/.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)) |
(-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (*.f64 c -4))) (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))) (cbrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (pow.f64 (*.f64 c -4) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 1/4) (pow.f64 (*.f64 a (*.f64 c -4)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 16 (pow.f64 (*.f64 a c) 2)))) (sqrt.f64 (cbrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 16 (pow.f64 (*.f64 a c) 2))) 1/2) (pow.f64 (cbrt.f64 (*.f64 a (*.f64 c -4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 c -4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 c -4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (/.f64 a 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (/.f64 a 1/2)))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (/.f64 a 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (/.f64 a 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (/.f64 a 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (/.f64 a 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (/.f64 a 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (/.f64 a 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1/2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (/.f64 a 1/2))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (/.f64 a 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (/.f64 a 1/2))) 2) (cbrt.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (/.f64 a 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (/.f64 a 1/2))) (sqrt.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (/.f64 a 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 (neg.f64 a) (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (/.f64 a 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (pow.f64 (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b))) 2)) -1) (pow.f64 (cbrt.f64 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 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a (*.f64 c -4))) b)) (sqrt.f64 b)) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) (sqrt.f64 b)) (-.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) (sqrt.f64 b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (cbrt.f64 (*.f64 b b)) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) (sqrt.f64 b)) (-.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) (sqrt.f64 b)) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 b b))) (cbrt.f64 b) (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))) |
| 1× | egg-herbie |
| 828× | 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 | 2829 | 1348 |
| 3 | 7355 | 1341 |
| 1× | node limit |
| 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 1/4 (*.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)))))) |
(*.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)))))) |
| Outputs |
|---|
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(*.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 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))) |
(+.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 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))) |
(fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))) |
(fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))) |
(+.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 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.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 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 (*.f64 -1/16 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5))))) (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4)) (*.f64 -1/2 (/.f64 b a))))) |
(fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (/.f64 (pow.f64 b 4) (sqrt.f64 -4)) -4)) (*.f64 (/.f64 -1/2 a) b)))) |
(*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) |
(/.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 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b) (*.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 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a 16)) c)) (/.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))))) |
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(+.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 -1/8 (*.f64 (/.f64 (*.f64 c c) (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 c c) (/.f64 (pow.f64 b 5) 16)) (pow.f64 a 3)))) (/.f64 a b))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) |
(+.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 -4) (sqrt.f64 (*.f64 c a))) b) |
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (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 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (*.f64 c a))))))) |
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (-.f64 (*.f64 1/2 (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (sqrt.f64 (/.f64 1 (*.f64 c a))))) b)) |
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (fma.f64 1/2 (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (sqrt.f64 (/.f64 (/.f64 1 c) a))) (neg.f64 b))) |
(fma.f64 1/2 (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (sqrt.f64 (/.f64 (/.f64 1 c) a))) (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (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 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 a 3) (pow.f64 c 3))))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 1/2 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (*.f64 c a)))))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 a 3) (pow.f64 c 3))))) (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (-.f64 (*.f64 1/2 (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (sqrt.f64 (/.f64 1 (*.f64 c a))))) b))) |
(fma.f64 -1/8 (*.f64 (/.f64 (/.f64 (pow.f64 b 4) (sqrt.f64 -4)) -4) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3)))) (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (fma.f64 1/2 (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (sqrt.f64 (/.f64 (/.f64 1 c) a))) (neg.f64 b)))) |
(fma.f64 -1/8 (*.f64 (/.f64 (/.f64 (pow.f64 b 4) (sqrt.f64 -4)) -4) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3)))) (fma.f64 1/2 (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (sqrt.f64 (/.f64 (/.f64 1 c) a))) (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (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 (/.f64 1/2 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 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)))) (*.f64 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))))) |
(fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3))) |
(fma.f64 1/2 (*.f64 (*.f64 (/.f64 c b) -4) a) (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -2) (pow.f64 b 3))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)))) (fma.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 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))))) |
(+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3)) (fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (*.f64 1/16 (/.f64 (*.f64 (pow.f64 a 3) (*.f64 (pow.f64 c 3) -64)) (pow.f64 b 5))))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -2) (pow.f64 b 3)) (fma.f64 1/2 (*.f64 (*.f64 (/.f64 c b) -4) a) (*.f64 (/.f64 1/16 (pow.f64 b 5)) (*.f64 (pow.f64 a 3) (*.f64 (pow.f64 c 3) -64))))) |
(+.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 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)))) (fma.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 -1/2 (/.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 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)))) 2)) (pow.f64 b 7)) (*.f64 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))))))) |
(+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (*.f64 (pow.f64 a 3) (*.f64 (pow.f64 c 3) -64)) (pow.f64 b 5)) (fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) 2)) (pow.f64 b 7)))))) |
(+.f64 (fma.f64 1/2 (*.f64 (*.f64 (/.f64 c b) -4) a) (/.f64 (*.f64 (*.f64 (*.f64 c 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 -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 b -2)) |
(fma.f64 -1/2 (*.f64 (*.f64 (/.f64 c b) -4) a) (*.f64 b -2)) |
(+.f64 (*.f64 -2 b) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))))) |
(fma.f64 -2 b (fma.f64 -1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)))) 1/8))) |
(fma.f64 b -2 (fma.f64 -1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (/.f64 (*.f64 (*.f64 c c) 1/8) (/.f64 (pow.f64 b 3) (*.f64 a (*.f64 a 16)))))) |
(fma.f64 b -2 (fma.f64 -1/2 (*.f64 (*.f64 (/.f64 c b) -4) a) (*.f64 (/.f64 (*.f64 (*.f64 c c) 1/8) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))))) |
(+.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 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)))) (*.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 b -2 (fma.f64 -1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (fma.f64 -1/16 (/.f64 (*.f64 (pow.f64 a 3) (*.f64 (pow.f64 c 3) -64)) (pow.f64 b 5)) (/.f64 (*.f64 (*.f64 c c) 1/8) (/.f64 (pow.f64 b 3) (*.f64 a (*.f64 a 16))))))) |
(fma.f64 b -2 (fma.f64 -1/2 (*.f64 (*.f64 (/.f64 c b) -4) a) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) (*.f64 (/.f64 (*.f64 (*.f64 c c) 1/8) (pow.f64 b 3)) (*.f64 a (*.f64 a 16)))))) |
Compiled 11 to 5 computations (54.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 3.5b | (*.f64 (/.f64 -2 b) (*.f64 c a)) |
| ✓ | 10.1b | (*.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 | |
|---|---|---|---|---|
| 1.0ms | b | @ | inf | (*.f64 (/.f64 -2 b) (*.f64 c a)) |
| 1.0ms | c | @ | 0 | (*.f64 (/.f64 -2 b) (*.f64 c a)) |
| 1.0ms | c | @ | inf | (*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 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 | (fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
| ✓ | 1.3b | (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b) |
| ✓ | 4.0b | (*.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b) (/.f64 1/2 a)) |
| ✓ | 5.5b | (*.f64 (/.f64 c b) a) |
Compiled 51 to 20 computations (60.8% saved)
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | -inf | (*.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b) (/.f64 1/2 a)) |
| 1.0ms | a | @ | -inf | (*.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b) (/.f64 1/2 a)) |
| 1.0ms | c | @ | -inf | (*.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b) (/.f64 1/2 a)) |
| 1.0ms | a | @ | inf | (*.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b) (/.f64 1/2 a)) |
| 1.0ms | c | @ | 0 | (*.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b) (/.f64 1/2 a)) |
| 1× | batch-egg-rewrite |
| 666× | log-prod_binary64 |
| 470× | prod-diff_binary64 |
| 355× | pow2_binary64 |
| 251× | fma-def_binary64 |
| 250× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 52 |
| 1 | 268 | 52 |
| 2 | 3673 | 52 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 c b) a) |
(*.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b) (/.f64 1/2 a)) |
(-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 c b) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 c b) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c a) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 c a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) a) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (neg.f64 c)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 c b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 c b) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 c b) 3) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 a 3) (pow.f64 (/.f64 c b) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (*.f64 c a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 c b) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 c b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 c b) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (/.f64 c b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 c b) a)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 b) b) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 b) (/.f64 1/2 a)) (*.f64 (neg.f64 b) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 a) (fma.f64 (*.f64 (/.f64 c b) a) -2 b)) (*.f64 (/.f64 1/2 a) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (-.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 b) b))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (-.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (-.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 b) b)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (-.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 b (*.f64 (*.f64 (/.f64 c b) a) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 c b) a) -2) b)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (*.f64 (/.f64 c b) a) -2 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 (/.f64 c b) a) -2) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 b))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 b)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 (/.f64 c b) a) -2 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 b)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 b)) 2) (cbrt.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 b)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 c b) a) -2) 3) (pow.f64 b 3)) (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 c b) a) -2) 2) (-.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 (/.f64 c b) a) -2) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 c b) a) -2) 2) (*.f64 b b)) (fma.f64 (*.f64 (/.f64 c b) a) -2 (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 b) (exp.f64 (*.f64 (*.f64 (/.f64 c b) a) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (*.f64 (*.f64 (/.f64 c b) a) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (/.f64 c b) a) -2)) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 b)) 1)))))) |
| 1× | egg-herbie |
| 1650× | fma-neg_binary64 |
| 735× | div-sub_binary64 |
| 433× | cancel-sign-sub-inv_binary64 |
| 352× | associate-/r/_binary64 |
| 323× | distribute-neg-frac_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 1233 |
| 1 | 23 | 1179 |
| 2 | 45 | 1179 |
| 3 | 78 | 1179 |
| 4 | 118 | 1179 |
| 5 | 146 | 1179 |
| 6 | 156 | 1179 |
| 7 | 177 | 1179 |
| 8 | 266 | 1179 |
| 9 | 385 | 1179 |
| 10 | 410 | 1179 |
| 11 | 450 | 1179 |
| 12 | 563 | 1179 |
| 13 | 1158 | 1179 |
| 14 | 3164 | 1179 |
| 15 | 5822 | 1179 |
| 16 | 6776 | 1179 |
| 17 | 7041 | 1179 |
| 18 | 7160 | 1179 |
| 19 | 7255 | 1179 |
| 20 | 7726 | 1179 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -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)) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
| Outputs |
|---|
(/.f64 (*.f64 c a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(/.f64 (*.f64 c a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(/.f64 (*.f64 c a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(/.f64 (*.f64 c a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(/.f64 (*.f64 c a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(/.f64 (*.f64 c a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(/.f64 (*.f64 c a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(/.f64 (*.f64 c a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(/.f64 (*.f64 c a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(/.f64 (*.f64 c a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(/.f64 (*.f64 c a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(/.f64 (*.f64 c a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(/.f64 (*.f64 c a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(/.f64 (*.f64 c a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(/.f64 (*.f64 c a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(/.f64 (*.f64 c a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(/.f64 (*.f64 c a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(/.f64 (*.f64 c a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(/.f64 (*.f64 c a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(/.f64 (*.f64 c a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(/.f64 (*.f64 c a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(/.f64 (*.f64 c a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(/.f64 (*.f64 c a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(/.f64 (*.f64 c a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(/.f64 (*.f64 c a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(/.f64 (*.f64 c a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(/.f64 (*.f64 c a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(/.f64 (*.f64 c a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(/.f64 (*.f64 c a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(/.f64 (*.f64 c a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(/.f64 (*.f64 c a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(/.f64 (*.f64 c a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(/.f64 (*.f64 c a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(/.f64 (*.f64 c a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(/.f64 (*.f64 c a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(/.f64 (*.f64 c a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c (neg.f64 b)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c (neg.f64 b)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c (neg.f64 b)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c (neg.f64 b)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c (neg.f64 b)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c (neg.f64 b)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c (neg.f64 b)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c (neg.f64 b)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c (neg.f64 b)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c (neg.f64 b)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c (neg.f64 b)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c (neg.f64 b)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c (neg.f64 b)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c (neg.f64 b)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c (neg.f64 b)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c (neg.f64 b)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c (neg.f64 b)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c (neg.f64 b)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c (neg.f64 b)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c (neg.f64 b)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c (neg.f64 b)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c (neg.f64 b)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c (neg.f64 b)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c (neg.f64 b)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c (neg.f64 b)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c (neg.f64 b)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c (neg.f64 b)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c (neg.f64 b)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c (neg.f64 b)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c (neg.f64 b)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c (neg.f64 b)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c (neg.f64 b)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c (neg.f64 b)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c (neg.f64 b)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c (neg.f64 b)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c (neg.f64 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 (/.f64 (*.f64 c a) b) -2) |
(/.f64 (*.f64 a -2) (/.f64 b c)) |
(*.f64 (*.f64 -2 (/.f64 a b)) c) |
(*.f64 c (*.f64 a (/.f64 -2 b))) |
(*.f64 c (/.f64 -2 (/.f64 b a))) |
(*.f64 c (/.f64 a (*.f64 b -1/2))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 (/.f64 (*.f64 c a) b) -2) |
(/.f64 (*.f64 a -2) (/.f64 b c)) |
(*.f64 (*.f64 -2 (/.f64 a b)) c) |
(*.f64 c (*.f64 a (/.f64 -2 b))) |
(*.f64 c (/.f64 -2 (/.f64 b a))) |
(*.f64 c (/.f64 a (*.f64 b -1/2))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 (/.f64 (*.f64 c a) b) -2) |
(/.f64 (*.f64 a -2) (/.f64 b c)) |
(*.f64 (*.f64 -2 (/.f64 a b)) c) |
(*.f64 c (*.f64 a (/.f64 -2 b))) |
(*.f64 c (/.f64 -2 (/.f64 b a))) |
(*.f64 c (/.f64 a (*.f64 b -1/2))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 (/.f64 (*.f64 c a) b) -2) |
(/.f64 (*.f64 a -2) (/.f64 b c)) |
(*.f64 (*.f64 -2 (/.f64 a b)) c) |
(*.f64 c (*.f64 a (/.f64 -2 b))) |
(*.f64 c (/.f64 -2 (/.f64 b a))) |
(*.f64 c (/.f64 a (*.f64 b -1/2))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 (/.f64 (*.f64 c a) b) -2) |
(/.f64 (*.f64 a -2) (/.f64 b c)) |
(*.f64 (*.f64 -2 (/.f64 a b)) c) |
(*.f64 c (*.f64 a (/.f64 -2 b))) |
(*.f64 c (/.f64 -2 (/.f64 b a))) |
(*.f64 c (/.f64 a (*.f64 b -1/2))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 (/.f64 (*.f64 c a) b) -2) |
(/.f64 (*.f64 a -2) (/.f64 b c)) |
(*.f64 (*.f64 -2 (/.f64 a b)) c) |
(*.f64 c (*.f64 a (/.f64 -2 b))) |
(*.f64 c (/.f64 -2 (/.f64 b a))) |
(*.f64 c (/.f64 a (*.f64 b -1/2))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 (/.f64 (*.f64 c a) b) -2) |
(/.f64 (*.f64 a -2) (/.f64 b c)) |
(*.f64 (*.f64 -2 (/.f64 a b)) c) |
(*.f64 c (*.f64 a (/.f64 -2 b))) |
(*.f64 c (/.f64 -2 (/.f64 b a))) |
(*.f64 c (/.f64 a (*.f64 b -1/2))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 (/.f64 (*.f64 c a) b) -2) |
(/.f64 (*.f64 a -2) (/.f64 b c)) |
(*.f64 (*.f64 -2 (/.f64 a b)) c) |
(*.f64 c (*.f64 a (/.f64 -2 b))) |
(*.f64 c (/.f64 -2 (/.f64 b a))) |
(*.f64 c (/.f64 a (*.f64 b -1/2))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 (/.f64 (*.f64 c a) b) -2) |
(/.f64 (*.f64 a -2) (/.f64 b c)) |
(*.f64 (*.f64 -2 (/.f64 a b)) c) |
(*.f64 c (*.f64 a (/.f64 -2 b))) |
(*.f64 c (/.f64 -2 (/.f64 b a))) |
(*.f64 c (/.f64 a (*.f64 b -1/2))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 (/.f64 (*.f64 c a) b) -2) |
(/.f64 (*.f64 a -2) (/.f64 b c)) |
(*.f64 (*.f64 -2 (/.f64 a b)) c) |
(*.f64 c (*.f64 a (/.f64 -2 b))) |
(*.f64 c (/.f64 -2 (/.f64 b a))) |
(*.f64 c (/.f64 a (*.f64 b -1/2))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 (/.f64 (*.f64 c a) b) -2) |
(/.f64 (*.f64 a -2) (/.f64 b c)) |
(*.f64 (*.f64 -2 (/.f64 a b)) c) |
(*.f64 c (*.f64 a (/.f64 -2 b))) |
(*.f64 c (/.f64 -2 (/.f64 b a))) |
(*.f64 c (/.f64 a (*.f64 b -1/2))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 (/.f64 (*.f64 c a) b) -2) |
(/.f64 (*.f64 a -2) (/.f64 b c)) |
(*.f64 (*.f64 -2 (/.f64 a b)) c) |
(*.f64 c (*.f64 a (/.f64 -2 b))) |
(*.f64 c (/.f64 -2 (/.f64 b a))) |
(*.f64 c (/.f64 a (*.f64 b -1/2))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 (/.f64 (*.f64 c a) b) -2) |
(/.f64 (*.f64 a -2) (/.f64 b c)) |
(*.f64 (*.f64 -2 (/.f64 a b)) c) |
(*.f64 c (*.f64 a (/.f64 -2 b))) |
(*.f64 c (/.f64 -2 (/.f64 b a))) |
(*.f64 c (/.f64 a (*.f64 b -1/2))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 (/.f64 (*.f64 c a) b) -2) |
(/.f64 (*.f64 a -2) (/.f64 b c)) |
(*.f64 (*.f64 -2 (/.f64 a b)) c) |
(*.f64 c (*.f64 a (/.f64 -2 b))) |
(*.f64 c (/.f64 -2 (/.f64 b a))) |
(*.f64 c (/.f64 a (*.f64 b -1/2))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 (/.f64 (*.f64 c a) b) -2) |
(/.f64 (*.f64 a -2) (/.f64 b c)) |
(*.f64 (*.f64 -2 (/.f64 a b)) c) |
(*.f64 c (*.f64 a (/.f64 -2 b))) |
(*.f64 c (/.f64 -2 (/.f64 b a))) |
(*.f64 c (/.f64 a (*.f64 b -1/2))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 (/.f64 (*.f64 c a) b) -2) |
(/.f64 (*.f64 a -2) (/.f64 b c)) |
(*.f64 (*.f64 -2 (/.f64 a b)) c) |
(*.f64 c (*.f64 a (/.f64 -2 b))) |
(*.f64 c (/.f64 -2 (/.f64 b a))) |
(*.f64 c (/.f64 a (*.f64 b -1/2))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 (/.f64 (*.f64 c a) b) -2) |
(/.f64 (*.f64 a -2) (/.f64 b c)) |
(*.f64 (*.f64 -2 (/.f64 a b)) c) |
(*.f64 c (*.f64 a (/.f64 -2 b))) |
(*.f64 c (/.f64 -2 (/.f64 b a))) |
(*.f64 c (/.f64 a (*.f64 b -1/2))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 (/.f64 (*.f64 c a) b) -2) |
(/.f64 (*.f64 a -2) (/.f64 b c)) |
(*.f64 (*.f64 -2 (/.f64 a b)) c) |
(*.f64 c (*.f64 a (/.f64 -2 b))) |
(*.f64 c (/.f64 -2 (/.f64 b a))) |
(*.f64 c (/.f64 a (*.f64 b -1/2))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 (/.f64 (*.f64 c a) b) -2) |
(/.f64 (*.f64 a -2) (/.f64 b c)) |
(*.f64 (*.f64 -2 (/.f64 a b)) c) |
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(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (*.f64 (/.f64 (*.f64 c a) b) -2)) |
(fma.f64 (/.f64 (*.f64 c a) b) -2 b) |
(fma.f64 (*.f64 a (/.f64 c b)) -2 b) |
(fma.f64 (/.f64 c b) (*.f64 a -2) b) |
(fma.f64 c (*.f64 a (/.f64 -2 b)) b) |
(fma.f64 c (/.f64 -2 (/.f64 b a)) b) |
(fma.f64 c (/.f64 a (*.f64 b -1/2)) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 (/.f64 (*.f64 c a) b) -2) |
(/.f64 (*.f64 a -2) (/.f64 b c)) |
(*.f64 (*.f64 -2 (/.f64 a b)) c) |
(*.f64 c (*.f64 a (/.f64 -2 b))) |
(*.f64 c (/.f64 -2 (/.f64 b a))) |
(*.f64 c (/.f64 a (*.f64 b -1/2))) |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (*.f64 (/.f64 (*.f64 c a) b) -2)) |
(fma.f64 (/.f64 (*.f64 c a) b) -2 b) |
(fma.f64 (*.f64 a (/.f64 c b)) -2 b) |
(fma.f64 (/.f64 c b) (*.f64 a -2) b) |
(fma.f64 c (*.f64 a (/.f64 -2 b)) b) |
(fma.f64 c (/.f64 -2 (/.f64 b a)) b) |
(fma.f64 c (/.f64 a (*.f64 b -1/2)) b) |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (*.f64 (/.f64 (*.f64 c a) b) -2)) |
(fma.f64 (/.f64 (*.f64 c a) b) -2 b) |
(fma.f64 (*.f64 a (/.f64 c b)) -2 b) |
(fma.f64 (/.f64 c b) (*.f64 a -2) b) |
(fma.f64 c (*.f64 a (/.f64 -2 b)) b) |
(fma.f64 c (/.f64 -2 (/.f64 b a)) b) |
(fma.f64 c (/.f64 a (*.f64 b -1/2)) b) |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (*.f64 (/.f64 (*.f64 c a) b) -2)) |
(fma.f64 (/.f64 (*.f64 c a) b) -2 b) |
(fma.f64 (*.f64 a (/.f64 c b)) -2 b) |
(fma.f64 (/.f64 c b) (*.f64 a -2) b) |
(fma.f64 c (*.f64 a (/.f64 -2 b)) b) |
(fma.f64 c (/.f64 -2 (/.f64 b a)) b) |
(fma.f64 c (/.f64 a (*.f64 b -1/2)) b) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2)) b) (/.f64 1/2 a)) |
| ✓ | 0.3b | (fma.f64 b b (*.f64 (*.f64 a c) -4)) |
| ✓ | 0.5b | (-.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2)) b) |
| ✓ | 32.2b | (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2)) |
Compiled 79 to 42 computations (46.8% saved)
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 106.0ms | b | @ | -inf | (*.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2)) b) (/.f64 1/2 a)) |
| 1.0ms | b | @ | 0 | (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2)) |
| 1.0ms | a | @ | -inf | (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2)) |
| 1.0ms | c | @ | -inf | (*.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2)) b) (/.f64 1/2 a)) |
| 1.0ms | b | @ | inf | (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2)) |
| 1× | batch-egg-rewrite |
| 724× | log-prod_binary64 |
| 603× | prod-diff_binary64 |
| 291× | fma-def_binary64 |
| 275× | expm1-udef_binary64 |
| 275× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 71 |
| 1 | 327 | 59 |
| 2 | 4139 | 59 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2)) |
(-.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2)) b) |
(fma.f64 b b (*.f64 (*.f64 a c) -4)) |
(*.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2)) b) (/.f64 1/2 a)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (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 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/4) 1/3) (pow.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/4) 1/3))))) (#(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 pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) 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 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 2)))) (#(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 fabs.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 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 a (*.f64 c -4)))) b) (fma.f64 (neg.f64 (cbrt.f64 b)) (cbrt.f64 (*.f64 b b)) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (fma.f64 -1 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 b b))) (cbrt.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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(2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2) (pow.f64 b 3))) (neg.f64 (fma.f64 b (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (fma.f64 c (*.f64 a -4) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (*.f64 b b))) (neg.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2) (pow.f64 (neg.f64 b) 3)) (+.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (-.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (neg.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (*.f64 (neg.f64 b) (neg.f64 b))) (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) 1)))) 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| 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)))))) |
(+.f64 (fma.f64 b -2 (*.f64 (/.f64 4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 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)) |
(*.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 -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 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)) |
(*.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 -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)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (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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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
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(fma.f64 (*.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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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
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(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
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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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(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))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.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 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))) |
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(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))) |
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(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 21069 to 12825 computations (39.1% saved)
28 alts after pruning (24 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 857 | 15 | 872 |
| Fresh | 9 | 9 | 18 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 4 | 5 |
| Total | 868 | 28 | 896 |
| Status | Error | Program |
|---|---|---|
| ▶ | 38.8b | (/.f64 (neg.f64 c) b) |
| 45.7b | (/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (*.f64 2 a)) | |
| ✓ | 44.9b | (*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a)) |
| 47.3b | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| ✓ | 30.8b | (/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2))) |
| 48.0b | (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) | |
| 55.3b | (*.f64 (-.f64 b b) (/.f64 1/2 a)) | |
| ▶ | 38.8b | (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
| 34.3b | (*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2) b) (/.f64 1/2 a)) | |
| 55.4b | (/.f64 (/.f64 (*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 b) b) 1/2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a)) | |
| 43.0b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) | |
| ✓ | 32.8b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| 44.1b | (/.f64 (-.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 a 2) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) | |
| 48.0b | (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a)) | |
| 30.8b | (/.f64 1 (*.f64 (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)) a)) | |
| ▶ | 47.5b | (*.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 3/2)) b) (/.f64 1/2 a)) |
| 47.8b | (*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a)) | |
| ✓ | 47.1b | (/.f64 (neg.f64 b) a) |
| 47.2b | (*.f64 (*.f64 b -2) (/.f64 1/2 a)) | |
| ▶ | 30.8b | (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) b) (/.f64 1/2 a)) |
| 44.9b | (/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 a 2)) | |
| 42.9b | (/.f64 (/.f64 (-.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (*.f64 2 a)) | |
| 44.5b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1) (*.f64 2 a)) | |
| ▶ | 30.8b | (/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (pow.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 1/4) 2)) b) 1/2))) |
| 39.1b | (/.f64 1 (/.f64 (neg.f64 b) c)) | |
| 30.8b | (*.f64 (/.f64 1 a) (pow.f64 (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)) -1)) | |
| 47.2b | (/.f64 1 (/.f64 (neg.f64 a) b)) | |
| 44.8b | (*.f64 (*.f64 c (/.f64 a (*.f64 b -1/2))) (/.f64 1/2 a)) |
Compiled 866 to 613 computations (29.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) b) |
| ✓ | 0.0b | (*.f64 (*.f64 a c) -4) |
| ✓ | 0.2b | (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) b) (/.f64 1/2 a)) |
| 12.0b | (sqrt.f64 (*.f64 (*.f64 a c) -4)) |
Compiled 57 to 30 computations (47.4% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | 0 | (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) b) |
| 2.0ms | c | @ | inf | (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) b) (/.f64 1/2 a)) |
| 2.0ms | a | @ | inf | (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) b) (/.f64 1/2 a)) |
| 2.0ms | a | @ | -inf | (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) b) (/.f64 1/2 a)) |
| 2.0ms | c | @ | -inf | (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) b) (/.f64 1/2 a)) |
| 1× | batch-egg-rewrite |
| 685× | log-prod_binary64 |
| 546× | prod-diff_binary64 |
| 359× | pow2_binary64 |
| 266× | fma-def_binary64 |
| 251× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 43 |
| 1 | 283 | 43 |
| 2 | 3647 | 43 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) b) (/.f64 1/2 a)) |
(*.f64 (*.f64 a c) -4) |
(-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) b) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) b) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) (/.f64 1/2 a)) (*.f64 (neg.f64 b) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 a) (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b)) (*.f64 (/.f64 1/2 a) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) b))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) b)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (-.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 b b))) (*.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (-.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 b b))) (*.f64 (neg.f64 a) (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) b) 1/2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) b) 1/2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) b) 1/2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2) (pow.f64 b 3)) (/.f64 1/2 a)) (fma.f64 b (+.f64 b 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b)) (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b)) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b)) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b)) (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) b)) (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) b)) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) b)) (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) b)) (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) b)) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2) (pow.f64 b 3)) (/.f64 1 (fma.f64 b (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b)) (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2) (pow.f64 b 3)) (/.f64 1 (fma.f64 b (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b)) (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2) (pow.f64 b 3)) (/.f64 1 (fma.f64 b (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b)) (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 b b)) (/.f64 1 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b))) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 b b)) (/.f64 1 (+.f64 b (hypot.f64 (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 fma.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 b b)) (/.f64 1 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b))) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 b)) 2) (cbrt.f64 (neg.f64 b)) (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b)) (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 b (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b)) (sqrt.f64 b)) (-.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b)) (sqrt.f64 b)) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b)) (sqrt.f64 b)) (-.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b)) (sqrt.f64 b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b)) (sqrt.f64 b)) (-.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b)) (sqrt.f64 b)) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b)))))) |
| 1× | egg-herbie |
| 919× | times-frac_binary64 |
| 685× | associate-/l*_binary64 |
| 557× | unswap-sqr_binary64 |
| 492× | associate-/r*_binary64 |
| 483× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 147 | 1261 |
| 1 | 427 | 1061 |
| 2 | 1548 | 1022 |
| 3 | 6637 | 1022 |
| 1× | node limit |
| 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 1/4 (*.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 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (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)))))) |
| 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 -1/2 (/.f64 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 (/.f64 -1/2 a) b)) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))) |
(fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))) |
(fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 1/4 (*.f64 (/.f64 b (sqrt.f64 -4)) b))))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))))))) |
(fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (*.f64 (*.f64 -1/16 (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 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3))) (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4))) (/.f64 -1/2 (/.f64 a b))))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (fma.f64 -1/2 (/.f64 b a) (*.f64 1/64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (sqrt.f64 -4) (pow.f64 b 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)))) |
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(fma.f64 -1/2 (*.f64 (*.f64 -4 (/.f64 c b)) a) (fma.f64 (*.f64 (*.f64 a (*.f64 a 16)) (/.f64 c (/.f64 (pow.f64 b 3) c))) 1/8 (*.f64 b -2))) |
(+.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 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a))) (pow.f64 b 3)) (*.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 b -2 (fma.f64 -1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) (*.f64 (/.f64 (*.f64 a (*.f64 a 16)) (/.f64 (pow.f64 b 3) (*.f64 c c))) 1/8)))) |
(fma.f64 b -2 (fma.f64 -1/16 (*.f64 (*.f64 (pow.f64 a 3) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 (*.f64 (*.f64 a (*.f64 a 16)) (/.f64 c (/.f64 (pow.f64 b 3) c))) 1/8 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4)))))) |
Compiled 11 to 5 computations (54.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.7b | (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
Compiled 29 to 9 computations (69% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | 0 | (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
| 1.0ms | a | @ | inf | (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
| 1.0ms | b | @ | -inf | (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
| 1.0ms | b | @ | inf | (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
| 1.0ms | b | @ | 0 | (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
| 1× | batch-egg-rewrite |
| 535× | log-prod_binary64 |
| 369× | pow-prod-down_binary64 |
| 313× | fma-def_binary64 |
| 279× | pow2_binary64 |
| 211× | log-div_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 13 |
| 1 | 203 | 13 |
| 2 | 3082 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -2)) (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2) (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (/.f64 a b) 3) (pow.f64 (/.f64 b c) 3))) (fma.f64 (/.f64 b c) (+.f64 (/.f64 a b) (/.f64 b c)) (pow.f64 (/.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (/.f64 a b) 2) (pow.f64 (/.f64 b c) 2))) (+.f64 (/.f64 a b) (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2) (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 2)))))) |
| 1× | egg-herbie |
| 730× | associate-*l/_binary64 |
| 699× | associate-/r/_binary64 |
| 517× | unswap-sqr_binary64 |
| 493× | associate-*r/_binary64 |
| 343× | times-frac_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 1091 |
| 1 | 151 | 1067 |
| 2 | 576 | 1027 |
| 3 | 3325 | 1023 |
| 1× | node limit |
| Inputs |
|---|
(*.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 -1 (/.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 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(*.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 -1 (/.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 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.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 -1 (/.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 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.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 -1 (/.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 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
| Outputs |
|---|
(*.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 (*.f64 c c)) (/.f64 (pow.f64 b 3) a)) (/.f64 c b)) |
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) |
(*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.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) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))) |
(-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b)))) |
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a 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 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.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 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3) (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3))))) |
(-.f64 (*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a))) (*.f64 (*.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (/.f64 (*.f64 a (pow.f64 c 4)) (pow.f64 b 7))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))))) |
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))))) |
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))))) |
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 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))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b))) |
(-.f64 (/.f64 (neg.f64 (*.f64 c c)) (/.f64 (pow.f64 b 3) a)) (/.f64 c b)) |
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) |
(*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.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) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))) |
(-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b)))) |
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a 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 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.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 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3) (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3))))) |
(-.f64 (*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a))) (*.f64 (*.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (/.f64 (*.f64 a (pow.f64 c 4)) (pow.f64 b 7))))) |
(*.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 (*.f64 c c)) (/.f64 (pow.f64 b 3) a)) (/.f64 c b)) |
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) |
(*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.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) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))) |
(-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b)))) |
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a 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 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.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 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3) (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3))))) |
(-.f64 (*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a))) (*.f64 (*.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (/.f64 (*.f64 a (pow.f64 c 4)) (pow.f64 b 7))))) |
(*.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 (*.f64 c c)) (/.f64 (pow.f64 b 3) a)) (/.f64 c b)) |
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) |
(*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.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) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))) |
(-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b)))) |
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a 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 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.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 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3) (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3))))) |
(-.f64 (*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a))) (*.f64 (*.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (/.f64 (*.f64 a (pow.f64 c 4)) (pow.f64 b 7))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))))) |
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))))) |
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 3/2)) b) (/.f64 1/2 a)) |
| ✓ | 0.2b | (*.f64 c (*.f64 a -4)) |
| ✓ | 3.6b | (pow.f64 (*.f64 c (*.f64 a -4)) 3/2) |
| ✓ | 17.2b | (cbrt.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 3/2)) |
Compiled 59 to 41 computations (30.5% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 81.0ms | a | @ | 0 | (pow.f64 (*.f64 c (*.f64 a -4)) 3/2) |
| 56.0ms | c | @ | 0 | (pow.f64 (*.f64 c (*.f64 a -4)) 3/2) |
| 36.0ms | c | @ | -inf | (pow.f64 (*.f64 c (*.f64 a -4)) 3/2) |
| 23.0ms | a | @ | -inf | (pow.f64 (*.f64 c (*.f64 a -4)) 3/2) |
| 8.0ms | a | @ | inf | (pow.f64 (*.f64 c (*.f64 a -4)) 3/2) |
| 1× | batch-egg-rewrite |
| 742× | prod-diff_binary64 |
| 709× | log-prod_binary64 |
| 375× | fma-def_binary64 |
| 261× | expm1-udef_binary64 |
| 261× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 50 |
| 1 | 310 | 44 |
| 2 | 3991 | 44 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 3/2)) |
(pow.f64 (*.f64 c (*.f64 a -4)) 3/2) |
(*.f64 c (*.f64 a -4)) |
(*.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 3/2)) b) (/.f64 1/2 a)) |
| Outputs |
|---|
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a)) 3/2) (pow.f64 b 3))) (fma.f64 b (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (*.f64 -4 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 a) (-.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))) (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (/.f64 1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (/.f64 1/2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (/.f64 1/2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (/.f64 1/2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (/.f64 1/2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (/.f64 1/2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 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 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (/.f64 1/2 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (/.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) (sqrt.f64 (*.f64 -4 (*.f64 c a))) (*.f64 (/.f64 1/2 a) (neg.f64 b))))))) |
| 1× | egg-herbie |
| 703× | fma-neg_binary64 |
| 638× | div-sub_binary64 |
| 534× | fma-def_binary64 |
| 465× | exp-sum_binary64 |
| 361× | exp-diff_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 783 |
| 1 | 153 | 783 |
| 2 | 374 | 711 |
| 3 | 885 | 639 |
| 4 | 2361 | 639 |
| 5 | 6082 | 639 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -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))) |
| Outputs |
|---|
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 3/2) (pow.f64 c 3/2)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 3/2) |
(pow.f64 (*.f64 c (*.f64 a -4)) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 3/2) (pow.f64 c 3/2)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 3/2) |
(pow.f64 (*.f64 c (*.f64 a -4)) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 3/2) (pow.f64 c 3/2)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 3/2) |
(pow.f64 (*.f64 c (*.f64 a -4)) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 3/2) (pow.f64 c 3/2)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 3/2) |
(pow.f64 (*.f64 c (*.f64 a -4)) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 3/2) (pow.f64 c 3/2)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 3/2) |
(pow.f64 (*.f64 c (*.f64 a -4)) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 3/2) (pow.f64 c 3/2)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 3/2) |
(pow.f64 (*.f64 c (*.f64 a -4)) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 3/2) (pow.f64 c 3/2)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 3/2) |
(pow.f64 (*.f64 c (*.f64 a -4)) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 3/2) (pow.f64 c 3/2)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 3/2) |
(pow.f64 (*.f64 c (*.f64 a -4)) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 3/2) (pow.f64 c 3/2)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 3/2) |
(pow.f64 (*.f64 c (*.f64 a -4)) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 3/2) (pow.f64 c 3/2)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 3/2) |
(pow.f64 (*.f64 c (*.f64 a -4)) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 3/2) (pow.f64 c 3/2)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 3/2) |
(pow.f64 (*.f64 c (*.f64 a -4)) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 3/2) (pow.f64 c 3/2)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 3/2) |
(pow.f64 (*.f64 c (*.f64 a -4)) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 3/2) (pow.f64 c 3/2)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 3/2) |
(pow.f64 (*.f64 c (*.f64 a -4)) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 3/2) (pow.f64 c 3/2)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 3/2) |
(pow.f64 (*.f64 c (*.f64 a -4)) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 3/2) (pow.f64 c 3/2)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 3/2) |
(pow.f64 (*.f64 c (*.f64 a -4)) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 3/2) (pow.f64 c 3/2)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 3/2) |
(pow.f64 (*.f64 c (*.f64 a -4)) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 3/2) (pow.f64 c 3/2)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 3/2) |
(pow.f64 (*.f64 c (*.f64 a -4)) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 3/2) (pow.f64 c 3/2)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 3/2) |
(pow.f64 (*.f64 c (*.f64 a -4)) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 3/2) (pow.f64 c 3/2)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 3/2) |
(pow.f64 (*.f64 c (*.f64 a -4)) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 3/2) (pow.f64 c 3/2)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 3/2) |
(pow.f64 (*.f64 c (*.f64 a -4)) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 3/2) (pow.f64 c 3/2)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 3/2) |
(pow.f64 (*.f64 c (*.f64 a -4)) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 3/2) (pow.f64 c 3/2)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 3/2) |
(pow.f64 (*.f64 c (*.f64 a -4)) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 3/2) (pow.f64 c 3/2)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 3/2) |
(pow.f64 (*.f64 c (*.f64 a -4)) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 3/2) (pow.f64 c 3/2)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 3/2) |
(pow.f64 (*.f64 c (*.f64 a -4)) 3/2) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 -4 a)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 -4 a)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 -4 a)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 -4 a)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 -4 a)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 -4 a)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 -4 a)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 -4 a)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 -4 a)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 -4 a)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 -4 a)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 -4 a)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 -4 a)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 -4 a)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 -4 a)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 -4 a)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 -4 a)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 -4 a)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 -4 a)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 -4 a)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 -4 a)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 -4 a)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 -4 a)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 c (*.f64 -4 a)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 b (/.f64 a -1/2)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 b (/.f64 a -1/2)) |
(*.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))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 (sqrt.f64 -4) (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b (/.f64 a -1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (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))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 (sqrt.f64 -4) (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b (/.f64 a -1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (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))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 (sqrt.f64 -4) (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b (/.f64 a -1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 b (/.f64 a -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 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 (sqrt.f64 -4) (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b (/.f64 a -1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (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))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 (sqrt.f64 -4) (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b (/.f64 a -1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (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))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 (sqrt.f64 -4) (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b (/.f64 a -1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 b (/.f64 a -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 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 (sqrt.f64 -4) (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b (/.f64 a -1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (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))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 (sqrt.f64 -4) (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b (/.f64 a -1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (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))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 (sqrt.f64 -4) (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b (/.f64 a -1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 a (*.f64 (-.f64 (hypot.f64 b (pow.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 1/4) 2)) b) 1/2)) |
| ✓ | 0.1b | (/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (pow.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 1/4) 2)) b) 1/2))) |
| ✓ | 0.3b | (pow.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 1/4) 2) |
| ✓ | 12.3b | (pow.f64 (*.f64 a (*.f64 c -4)) 1/4) |
Compiled 110 to 79 computations (28.2% saved)
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | c | @ | -inf | (/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (pow.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 1/4) 2)) b) 1/2))) |
| 8.0ms | a | @ | inf | (/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (pow.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 1/4) 2)) b) 1/2))) |
| 6.0ms | a | @ | -inf | (/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (pow.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 1/4) 2)) b) 1/2))) |
| 2.0ms | c | @ | inf | (/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (pow.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 1/4) 2)) b) 1/2))) |
| 2.0ms | c | @ | 0 | (/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (pow.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 1/4) 2)) b) 1/2))) |
| 1× | batch-egg-rewrite |
| 579× | prod-diff_binary64 |
| 315× | expm1-udef_binary64 |
| 315× | log1p-udef_binary64 |
| 268× | log-pow_binary64 |
| 254× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 67 |
| 1 | 395 | 61 |
| 2 | 4948 | 61 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (*.f64 a (*.f64 c -4)) 1/4) |
(pow.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 1/4) 2) |
(/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (pow.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 1/4) 2)) b) 1/2))) |
(/.f64 a (*.f64 (-.f64 (hypot.f64 b (pow.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 1/4) 2)) b) 1/2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4)) (cbrt.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))) (cbrt.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a 1/4) (pow.f64 (*.f64 c -4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/8) (pow.f64 (*.f64 -4 (*.f64 a c)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 -4 (*.f64 a c)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/4) (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 2)) 1/4) (pow.f64 (cbrt.f64 (*.f64 -4 (*.f64 a c))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) 1/4) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a c) 1/4) (pow.f64 -4 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/4 (log.f64 (*.f64 -4 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 -4 (*.f64 a c)))) 1)))))) |
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b) b)))))) (#(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 -4 (*.f64 a c))) b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b) 1/2)) 2)) (/.f64 a (cbrt.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b) 1/2)) 2)) (cbrt.f64 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b) 1/2)) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b) 1/2))) (/.f64 a (sqrt.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b) 1/2))) (/.f64 (cbrt.f64 a) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b) a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) 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 -4 (*.f64 a c))) b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (/.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 a 3) (pow.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b) 1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b)))) 1)))))) |
| 1× | egg-herbie |
| 916× | fma-def_binary64 |
| 748× | associate-/l*_binary64 |
| 639× | associate-/r*_binary64 |
| 345× | associate-*l/_binary64 |
| 298× | associate-*r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 276 | 3974 |
| 1 | 812 | 3387 |
| 2 | 2934 | 3024 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) |
(*.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 4) (pow.f64 b 2))) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 4) (pow.f64 b 2))) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 4) (pow.f64 b 2))) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 4) (pow.f64 b 2))) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 4))) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 4))) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 4))) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 4))) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 4))) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 4))) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 4))) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 4))) 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 -1/2 (/.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 1/2 (/.f64 (-.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 4) (pow.f64 b 2))) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 4) (pow.f64 b 2))) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 4) (pow.f64 b 2))) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 4) (pow.f64 b 2))) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 4))) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 4))) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 4))) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 4))) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 4))) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 4))) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 4))) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 4))) b) a)) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 4) (pow.f64 b 2))) b))) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 4) (pow.f64 b 2))) b))) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 4) (pow.f64 b 2))) b))) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 4) (pow.f64 b 2))) b))) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 4))) b))) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 4))) b))) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 4))) b))) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 4))) b))) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 4))) b))) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 4))) b))) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 4))) b))) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 4))) b))) |
(*.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)))))) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 4) (pow.f64 b 2))) b))) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 4) (pow.f64 b 2))) b))) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 4) (pow.f64 b 2))) b))) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 4) (pow.f64 b 2))) b))) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 4))) b))) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 4))) b))) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 4))) b))) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 4))) b))) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 4))) b))) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 4))) b))) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 4))) b))) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 4))) b))) |
| Outputs |
|---|
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) |
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) |
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) |
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) |
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) |
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) |
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) |
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) |
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) |
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) |
(*.f64 (pow.f64 (*.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) |
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) |
(*.f64 (pow.f64 (*.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) |
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) |
(*.f64 (pow.f64 (*.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) |
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) |
(*.f64 (pow.f64 (*.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) |
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) |
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) |
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) |
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) |
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) |
(*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) |
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(fma.f64 -1 (/.f64 b c) (fma.f64 -2 (/.f64 (*.f64 c (*.f64 a a)) (/.f64 (pow.f64 b 3) -1/2)) (/.f64 a b))) |
(+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (/.f64 a b) (+.f64 (*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -2 (/.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 1/4 (*.f64 c (*.f64 a (*.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))))))))) (pow.f64 b 5)))))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a))) 1/8) (pow.f64 b 3)) (+.f64 (/.f64 a b) (fma.f64 4 (/.f64 (/.f64 b c) (pow.f64 (sqrt.f64 -4) 2)) (*.f64 -2 (/.f64 (fma.f64 -2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)))) 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 c) (*.f64 a a)) -2) 2)) (*.f64 c (*.f64 c (*.f64 a 16)))) (fma.f64 1/4 (*.f64 c (*.f64 a (*.f64 (*.f64 (*.f64 c -4) (*.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))) |
(fma.f64 -2 (/.f64 (*.f64 c (*.f64 a a)) (/.f64 (pow.f64 b 3) -1/2)) (fma.f64 -1 (/.f64 b c) (fma.f64 -2 (/.f64 (fma.f64 1/4 (*.f64 a (*.f64 c (*.f64 (*.f64 a (*.f64 a 16)) (*.f64 c 1/8)))) (fma.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)) (*.f64 (pow.f64 a 3) (*.f64 c c)))) (pow.f64 b 5)) (/.f64 a b)))) |
(*.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 c (/.f64 (/.f64 (pow.f64 b 5) 16) (pow.f64 a 3))) c) (/.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 (*.f64 c c) -1/8) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) 16))))) |
(-.f64 (fma.f64 2 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 4)) -5/2) (pow.f64 b 7)) (fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (/.f64 (pow.f64 b 5) 16) (pow.f64 a 3))) c) (/.f64 (*.f64 (neg.f64 c) (*.f64 a a)) (pow.f64 b 3)))) (/.f64 a b)) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 4) (pow.f64 b 2))) b))) |
(/.f64 (*.f64 2 a) (-.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 4) (*.f64 b b))) b)) |
(*.f64 2 (/.f64 a (-.f64 (hypot.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) 2) b) b))) |
(*.f64 (/.f64 2 (-.f64 (hypot.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2) b) b)) a) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 4) (pow.f64 b 2))) b))) |
(/.f64 (*.f64 2 a) (-.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 4) (*.f64 b b))) b)) |
(*.f64 2 (/.f64 a (-.f64 (hypot.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) 2) b) b))) |
(*.f64 (/.f64 2 (-.f64 (hypot.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2) b) b)) a) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 4) (pow.f64 b 2))) b))) |
(/.f64 (*.f64 2 a) (-.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 4) (*.f64 b b))) b)) |
(*.f64 2 (/.f64 a (-.f64 (hypot.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) 2) b) b))) |
(*.f64 (/.f64 2 (-.f64 (hypot.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2) b) b)) a) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 4) (pow.f64 b 2))) b))) |
(/.f64 (*.f64 2 a) (-.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 4) (*.f64 b b))) b)) |
(*.f64 2 (/.f64 a (-.f64 (hypot.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) 2) b) b))) |
(*.f64 (/.f64 2 (-.f64 (hypot.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2) b) b)) a) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 4))) b))) |
(/.f64 (*.f64 2 a) (-.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 4) (*.f64 b b))) b)) |
(*.f64 2 (/.f64 a (-.f64 (hypot.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) 2) b) b))) |
(*.f64 (/.f64 2 (-.f64 (hypot.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2) b) b)) a) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 4))) b))) |
(/.f64 (*.f64 2 a) (-.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 4) (*.f64 b b))) b)) |
(*.f64 2 (/.f64 a (-.f64 (hypot.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) 2) b) b))) |
(*.f64 (/.f64 2 (-.f64 (hypot.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2) b) b)) a) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 4))) b))) |
(/.f64 (*.f64 2 a) (-.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 4) (*.f64 b b))) b)) |
(*.f64 2 (/.f64 a (-.f64 (hypot.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) 2) b) b))) |
(*.f64 (/.f64 2 (-.f64 (hypot.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2) b) b)) a) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 4))) b))) |
(/.f64 (*.f64 2 a) (-.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 4) (*.f64 b b))) b)) |
(*.f64 2 (/.f64 a (-.f64 (hypot.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) 2) b) b))) |
(*.f64 (/.f64 2 (-.f64 (hypot.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2) b) b)) a) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 4))) b))) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 4))) b))) |
(*.f64 2 (/.f64 a (-.f64 (hypot.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) b) b))) |
(/.f64 (*.f64 a 2) (-.f64 (hypot.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2) b) b)) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 4))) b))) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 4))) b))) |
(*.f64 2 (/.f64 a (-.f64 (hypot.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) b) b))) |
(/.f64 (*.f64 a 2) (-.f64 (hypot.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2) b) b)) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 4))) b))) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 4))) b))) |
(*.f64 2 (/.f64 a (-.f64 (hypot.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) b) b))) |
(/.f64 (*.f64 a 2) (-.f64 (hypot.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2) b) b)) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 4))) b))) |
(*.f64 2 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 4))) b))) |
(*.f64 2 (/.f64 a (-.f64 (hypot.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) b) b))) |
(/.f64 (*.f64 a 2) (-.f64 (hypot.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2) b) b)) |
Compiled 14871 to 9579 computations (35.6% saved)
24 alts after pruning (19 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 640 | 13 | 653 |
| Fresh | 13 | 6 | 19 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 5 | 8 |
| Total | 657 | 24 | 681 |
| Status | Error | Program |
|---|---|---|
| ✓ | 38.8b | (/.f64 (neg.f64 c) b) |
| ▶ | 43.0b | (+.f64 (*.f64 (/.f64 1/2 a) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 (/.f64 1/2 a) (neg.f64 b))) |
| ✓ | 44.9b | (*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a)) |
| 47.3b | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| 47.2b | (/.f64 1 (/.f64 (neg.f64 a) b)) | |
| 45.9b | (*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c)) | |
| ▶ | 48.0b | (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
| ✓ | 38.8b | (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
| 44.7b | (/.f64 (-.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b)) (*.f64 (*.f64 a 2) (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b))) | |
| ▶ | 62.2b | (/.f64 b a) |
| ✓ | 32.8b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| 48.0b | (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a)) | |
| ✓ | 47.1b | (/.f64 (neg.f64 b) a) |
| 47.2b | (*.f64 (*.f64 b -2) (/.f64 1/2 a)) | |
| 43.0b | (/.f64 1 (/.f64 a (*.f64 (-.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) 1/2))) | |
| 44.9b | (/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 a 2)) | |
| 43.0b | (/.f64 (-.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (*.f64 a 2)) | |
| 47.8b | (*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a)) | |
| 48.8b | (*.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)) b) (/.f64 1/2 a)) | |
| ▶ | 39.1b | (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -3) |
| 43.7b | (/.f64 (*.f64 (/.f64 1/2 a) (-.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))) (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b)) | |
| 43.0b | (*.f64 (-.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (/.f64 1/2 a)) | |
| 43.5b | (*.f64 (/.f64 1/2 a) (-.f64 (hypot.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2) b) b)) | |
| ▶ | 44.8b | (*.f64 (*.f64 c (/.f64 a (*.f64 b -1/2))) (/.f64 1/2 a)) |
Compiled 666 to 472 computations (29.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -3) |
| ✓ | 16.4b | (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) |
Compiled 38 to 10 computations (73.7% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | b | @ | inf | (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -3) |
| 6.0ms | a | @ | 0 | (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -3) |
| 4.0ms | c | @ | inf | (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -3) |
| 3.0ms | c | @ | -inf | (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -3) |
| 2.0ms | a | @ | 0 | (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) |
| 1× | batch-egg-rewrite |
| 575× | log-prod_binary64 |
| 397× | pow-prod-down_binary64 |
| 330× | fma-def_binary64 |
| 310× | pow2_binary64 |
| 211× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 27 |
| 1 | 229 | 25 |
| 2 | 3341 | 25 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) |
(pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) 1/6) (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 a b) 2) (pow.f64 (/.f64 b c) 2))) (cbrt.f64 (+.f64 (/.f64 a b) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 a b) 3) (pow.f64 (/.f64 c b) -3))) (cbrt.f64 (fma.f64 (/.f64 b c) (+.f64 (/.f64 a b) (/.f64 b c)) (pow.f64 (/.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (*.f64 a c) (*.f64 b b))) (cbrt.f64 (*.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -1) (cbrt.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -2)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2) (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) -6) (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 1)))))) |
| 1× | egg-herbie |
| 667× | associate-*l/_binary64 |
| 513× | distribute-rgt-in_binary64 |
| 509× | distribute-lft-in_binary64 |
| 329× | associate-*r*_binary64 |
| 324× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 351 | 3044 |
| 1 | 1202 | 2686 |
| 2 | 4558 | 2548 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 (/.f64 (*.f64 1 b) c) 1/3) (cbrt.f64 -1)) |
(+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 b) c) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 1 4)) (pow.f64 b 11)) 1/9) (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))))) |
(+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 b) c) 1/3) (cbrt.f64 -1)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 1 4)) (pow.f64 b 11)) 1/9) (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 7) (pow.f64 1 4)) (pow.f64 b 25)) 1/9) (*.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3)))))) |
(+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 b) c) 1/3) (cbrt.f64 -1)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 1 4)) (pow.f64 b 11)) 1/9) (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) 1) (pow.f64 b 2)) 1/3) (/.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 11)) 1/3) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) 1) (pow.f64 b 11)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 7) (pow.f64 1 4)) (pow.f64 b 25)) 1/9) (*.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3))))))) |
(pow.f64 (/.f64 a b) 1/3) |
(+.f64 (*.f64 -1/3 (*.f64 (/.f64 1 c) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 11)) (pow.f64 a 2)) 1/9))) (pow.f64 (/.f64 a b) 1/3)) |
(+.f64 (*.f64 -1/3 (*.f64 (/.f64 1 c) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 11)) (pow.f64 a 2)) 1/9))) (+.f64 (pow.f64 (/.f64 a b) 1/3) (*.f64 -1/9 (*.f64 (/.f64 1 (pow.f64 c 2)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 25)) (pow.f64 a 7)) 1/9))))) |
(+.f64 (*.f64 -1/3 (*.f64 (/.f64 1 c) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 11)) (pow.f64 a 2)) 1/9))) (+.f64 (pow.f64 (/.f64 a b) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (/.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 (pow.f64 b 11) (pow.f64 a 2)) 1/3))) (*.f64 -1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 11)) (pow.f64 a 2)) 1/3))) (pow.f64 c 3)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 2)) (pow.f64 a 2)) 1/3))) (*.f64 -1/9 (*.f64 (/.f64 1 (pow.f64 c 2)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 25)) (pow.f64 a 7)) 1/9)))))) |
(pow.f64 (/.f64 a b) 1/3) |
(+.f64 (*.f64 -1/3 (*.f64 (/.f64 1 c) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 11)) (pow.f64 a 2)) 1/9))) (pow.f64 (/.f64 a b) 1/3)) |
(+.f64 (*.f64 -1/3 (*.f64 (/.f64 1 c) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 11)) (pow.f64 a 2)) 1/9))) (+.f64 (pow.f64 (/.f64 a b) 1/3) (*.f64 -1/9 (*.f64 (/.f64 1 (pow.f64 c 2)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 25)) (pow.f64 a 7)) 1/9))))) |
(+.f64 (*.f64 -1/3 (*.f64 (/.f64 1 c) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 11)) (pow.f64 a 2)) 1/9))) (+.f64 (pow.f64 (/.f64 a b) 1/3) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 (pow.f64 b 11) (pow.f64 a 2)) 1/3))) (*.f64 1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 11)) (pow.f64 a 2)) 1/3))) (pow.f64 c 3)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 2)) (pow.f64 a 2)) 1/3))) (*.f64 -1/9 (*.f64 (/.f64 1 (pow.f64 c 2)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 25)) (pow.f64 a 7)) 1/9)))))) |
(*.f64 -1 (*.f64 (/.f64 c b) (pow.f64 1 1/3))) |
(+.f64 (*.f64 -1 (*.f64 (/.f64 c b) (pow.f64 1 1/3))) (*.f64 a (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 14) (pow.f64 1 4)) (pow.f64 b 23)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 14)) 1/3))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 14) (pow.f64 1 4)) (pow.f64 b 23)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 14)) 1/3)))))) |
(+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 4/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 19) (pow.f64 1 4)) (pow.f64 b 37)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 19)) 1/3))) (*.f64 (pow.f64 (/.f64 (*.f64 c 1) b) 1/3) (/.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 16) (pow.f64 1 4)) (pow.f64 b 34)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 16)) 1/3))) (*.f64 4/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 16) (pow.f64 1 4)) (pow.f64 b 34)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 16)) 1/3)))) (cbrt.f64 -1))))) (+.f64 (*.f64 -1 (*.f64 (/.f64 c b) (pow.f64 1 1/3))) (*.f64 a (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 14) (pow.f64 1 4)) (pow.f64 b 23)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 14)) 1/3))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 14) (pow.f64 1 4)) (pow.f64 b 23)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 14)) 1/3))))))) |
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 8) (pow.f64 1 4)) (pow.f64 b 17)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 16) (pow.f64 1 4)) (pow.f64 b 34)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 16)) 1/3))) (*.f64 4/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 16) (pow.f64 1 4)) (pow.f64 b 34)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 16)) 1/3))))))) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 c 1) b) 1/3) (/.f64 (+.f64 (*.f64 -4/27 (*.f64 (pow.f64 (/.f64 (pow.f64 c 7) (pow.f64 b 16)) 1/3) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (*.f64 -2 (*.f64 (pow.f64 (/.f64 (*.f64 c 1) b) 1/3) (/.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 4) 1) (pow.f64 b 4)) 1/3) (/.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 11)) 1/3) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) 1) (pow.f64 b 11)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (pow.f64 (cbrt.f64 -1) 4)))) (+.f64 (*.f64 2/27 (*.f64 (/.f64 (pow.f64 c 2) (*.f64 (pow.f64 (cbrt.f64 -1) 6) (pow.f64 b 5))) (pow.f64 1 1/9))) (*.f64 1/27 (*.f64 (/.f64 (pow.f64 c 2) (*.f64 (pow.f64 (cbrt.f64 -1) 6) (pow.f64 b 5))) (pow.f64 1 1/9))))) (cbrt.f64 -1))))) (cbrt.f64 -1))) (+.f64 (*.f64 -4/27 (*.f64 (pow.f64 (/.f64 (pow.f64 c 8) (pow.f64 b 17)) 1/3) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (/.f64 1 (pow.f64 (cbrt.f64 -1) 8))))) (*.f64 -1 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) 1) (pow.f64 b 2)) 1/3) (/.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 4) 1) (pow.f64 b 4)) 1/3) (/.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 11)) 1/3) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) 1) (pow.f64 b 11)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (pow.f64 (cbrt.f64 -1) 4)))) (+.f64 (*.f64 2/27 (*.f64 (/.f64 (pow.f64 c 2) (*.f64 (pow.f64 (cbrt.f64 -1) 6) (pow.f64 b 5))) (pow.f64 1 1/9))) (*.f64 1/27 (*.f64 (/.f64 (pow.f64 c 2) (*.f64 (pow.f64 (cbrt.f64 -1) 6) (pow.f64 b 5))) (pow.f64 1 1/9))))) (pow.f64 (cbrt.f64 -1) 2)))))))) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 4/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 19) (pow.f64 1 4)) (pow.f64 b 37)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 19)) 1/3))) (*.f64 (pow.f64 (/.f64 (*.f64 c 1) b) 1/3) (/.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 16) (pow.f64 1 4)) (pow.f64 b 34)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 16)) 1/3))) (*.f64 4/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 16) (pow.f64 1 4)) (pow.f64 b 34)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 16)) 1/3)))) (cbrt.f64 -1))))) (+.f64 (*.f64 -1 (*.f64 (/.f64 c b) (pow.f64 1 1/3))) (*.f64 a (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 14) (pow.f64 1 4)) (pow.f64 b 23)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 14)) 1/3))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 14) (pow.f64 1 4)) (pow.f64 b 23)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 14)) 1/3)))))))) |
(*.f64 (pow.f64 1 1/3) (/.f64 b a)) |
(+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 b a)) (+.f64 (*.f64 1/3 (*.f64 (/.f64 1 c) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 23)) (pow.f64 a 14)) 1/9))) (*.f64 2/3 (*.f64 (/.f64 1 c) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 23)) (pow.f64 a 14)) 1/9))))) |
(+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 b a)) (+.f64 (*.f64 (/.f64 (+.f64 (*.f64 1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 34)) (pow.f64 a 16)) 1/9)) (*.f64 4/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 34)) (pow.f64 a 16)) 1/9))) (pow.f64 c 2)) (pow.f64 (/.f64 (*.f64 1 b) a) 1/3)) (+.f64 (*.f64 1/3 (*.f64 (/.f64 1 c) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 23)) (pow.f64 a 14)) 1/9))) (+.f64 (*.f64 2/3 (*.f64 (/.f64 1 c) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 23)) (pow.f64 a 14)) 1/9))) (*.f64 4/9 (*.f64 (/.f64 1 (pow.f64 c 2)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 37)) (pow.f64 a 19)) 1/9))))))) |
(+.f64 (*.f64 4/27 (*.f64 (/.f64 1 (pow.f64 c 3)) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 (pow.f64 b 17) (pow.f64 a 8)) 1/3)))) (+.f64 (*.f64 1/3 (*.f64 (/.f64 1 c) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 23)) (pow.f64 a 14)) 1/9))) (+.f64 (*.f64 -1 (*.f64 (/.f64 (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 b 5) (pow.f64 a 2)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 4)) (pow.f64 a 4)) 1/3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 (pow.f64 b 11) (pow.f64 a 2)) 1/3))) (*.f64 -1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 11)) (pow.f64 a 2)) 1/3))))) (*.f64 -1/27 (*.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 b 5) (pow.f64 a 2)))))) (pow.f64 c 3)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 2)) (pow.f64 a 2)) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (+.f64 (*.f64 1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 34)) (pow.f64 a 16)) 1/9)) (*.f64 4/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 34)) (pow.f64 a 16)) 1/9))) (pow.f64 c 3)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 17)) (pow.f64 a 8)) 1/9))) (+.f64 (*.f64 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 b 5) (pow.f64 a 2)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 4)) (pow.f64 a 4)) 1/3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 (pow.f64 b 11) (pow.f64 a 2)) 1/3))) (*.f64 -1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 11)) (pow.f64 a 2)) 1/3))))) (*.f64 -1/27 (*.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 b 5) (pow.f64 a 2)))))) (pow.f64 (/.f64 (*.f64 1 b) a) 1/3))) (+.f64 (*.f64 4/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 (pow.f64 b 16) (pow.f64 a 7)) 1/3))) (*.f64 -1 (*.f64 (pow.f64 (/.f64 (*.f64 1 b) a) 1/3) (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 b 5) (pow.f64 a 2)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 4)) (pow.f64 a 4)) 1/3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 (pow.f64 b 11) (pow.f64 a 2)) 1/3))) (*.f64 -1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 11)) (pow.f64 a 2)) 1/3))))) (*.f64 -1/27 (*.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 b 5) (pow.f64 a 2)))))))))) (pow.f64 c 3)) (pow.f64 (/.f64 (*.f64 1 b) a) 1/3)) (+.f64 (*.f64 2/3 (*.f64 (/.f64 1 c) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 23)) (pow.f64 a 14)) 1/9))) (+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 b a)) (+.f64 (*.f64 (/.f64 (+.f64 (*.f64 1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 34)) (pow.f64 a 16)) 1/9)) (*.f64 4/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 34)) (pow.f64 a 16)) 1/9))) (pow.f64 c 2)) (pow.f64 (/.f64 (*.f64 1 b) a) 1/3)) (*.f64 4/9 (*.f64 (/.f64 1 (pow.f64 c 2)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 37)) (pow.f64 a 19)) 1/9))))))))))) |
(*.f64 (pow.f64 1 1/3) (/.f64 b a)) |
(+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 b a)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 23)) (pow.f64 a 14)) 1/9)) (*.f64 -2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 23)) (pow.f64 a 14)) 1/9))) c))) |
(+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 b a)) (+.f64 (*.f64 (/.f64 (+.f64 (*.f64 1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 34)) (pow.f64 a 16)) 1/9)) (*.f64 4/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 34)) (pow.f64 a 16)) 1/9))) (pow.f64 c 2)) (pow.f64 (/.f64 (*.f64 1 b) a) 1/3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 23)) (pow.f64 a 14)) 1/9)) (*.f64 -2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 23)) (pow.f64 a 14)) 1/9))) c)) (*.f64 4/9 (*.f64 (/.f64 1 (pow.f64 c 2)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 37)) (pow.f64 a 19)) 1/9)))))) |
(+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 b a)) (+.f64 (*.f64 (/.f64 (+.f64 (*.f64 1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 34)) (pow.f64 a 16)) 1/9)) (*.f64 4/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 34)) (pow.f64 a 16)) 1/9))) (pow.f64 c 2)) (pow.f64 (/.f64 (*.f64 1 b) a) 1/3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 23)) (pow.f64 a 14)) 1/9)) (*.f64 -2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 23)) (pow.f64 a 14)) 1/9))) c)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 2)) (pow.f64 a 2)) 1/3) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 b 5) (pow.f64 a 2)))) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 b 5) (pow.f64 a 2)))) (*.f64 -1/3 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 (pow.f64 b 11) (pow.f64 a 2)) 1/3))) (*.f64 1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 11)) (pow.f64 a 2)) 1/3))) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 4)) (pow.f64 a 4)) 1/3))))))) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 b) a) 1/3) (+.f64 (*.f64 -2 (*.f64 (pow.f64 (/.f64 (*.f64 1 b) a) 1/3) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 b 5) (pow.f64 a 2)))) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 b 5) (pow.f64 a 2)))) (*.f64 -1/3 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 (pow.f64 b 11) (pow.f64 a 2)) 1/3))) (*.f64 1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 11)) (pow.f64 a 2)) 1/3))) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 4)) (pow.f64 a 4)) 1/3))))))) (*.f64 -4/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 (pow.f64 b 16) (pow.f64 a 7)) 1/3))))) (+.f64 (*.f64 -4/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 (pow.f64 b 17) (pow.f64 a 8)) 1/3))) (*.f64 -1/3 (*.f64 (+.f64 (*.f64 1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 34)) (pow.f64 a 16)) 1/9)) (*.f64 4/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 34)) (pow.f64 a 16)) 1/9))) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 17)) (pow.f64 a 8)) 1/9)))))) (pow.f64 c 3))) (*.f64 4/9 (*.f64 (/.f64 1 (pow.f64 c 2)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 37)) (pow.f64 a 19)) 1/9))))))) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (*.f64 1 b) c) 1/3) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 (/.f64 b c)) (cbrt.f64 -1)) |
(+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 b) c) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 1 4)) (pow.f64 b 11)) 1/9) (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))))) |
(fma.f64 (cbrt.f64 (/.f64 b c)) (cbrt.f64 -1) (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 c c) (pow.f64 b 11)) 1/18) (pow.f64 (/.f64 (*.f64 c c) (pow.f64 b 11)) 1/18))) (*.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) |
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 c (/.f64 (pow.f64 b 11) c)) 1/18) (pow.f64 (/.f64 c (/.f64 (pow.f64 b 11) c)) 1/18)) (*.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 (cbrt.f64 (/.f64 b c)) (cbrt.f64 -1))) |
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (*.f64 c (/.f64 c (pow.f64 b 11))) 1/18) (pow.f64 (*.f64 c (/.f64 c (pow.f64 b 11))) 1/18)) (*.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 (cbrt.f64 (/.f64 b c)) (cbrt.f64 -1))) |
(+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 b) c) 1/3) (cbrt.f64 -1)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 1 4)) (pow.f64 b 11)) 1/9) (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 7) (pow.f64 1 4)) (pow.f64 b 25)) 1/9) (*.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3)))))) |
(fma.f64 (cbrt.f64 (/.f64 b c)) (cbrt.f64 -1) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (*.f64 c c) (pow.f64 b 11)) 1/18) (pow.f64 (/.f64 (*.f64 c c) (pow.f64 b 11)) 1/18)) (*.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 c 7) (pow.f64 b 25)) 1/18) (pow.f64 (/.f64 (pow.f64 c 7) (pow.f64 b 25)) 1/18))) (*.f64 (*.f64 a a) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))))) |
(fma.f64 (cbrt.f64 (/.f64 b c)) (cbrt.f64 -1) (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (*.f64 (pow.f64 (/.f64 (pow.f64 c 7) (pow.f64 b 25)) 1/18) (*.f64 (pow.f64 (/.f64 (pow.f64 c 7) (pow.f64 b 25)) 1/18) (*.f64 a a)))) (*.f64 (*.f64 (pow.f64 (/.f64 c (/.f64 (pow.f64 b 11) c)) 1/18) (pow.f64 (/.f64 c (/.f64 (pow.f64 b 11) c)) 1/18)) (*.f64 (*.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) 1/3)))) |
(fma.f64 (cbrt.f64 (/.f64 b c)) (cbrt.f64 -1) (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (*.f64 (pow.f64 (/.f64 (pow.f64 c 7) (pow.f64 b 25)) 1/18) (*.f64 (pow.f64 (/.f64 (pow.f64 c 7) (pow.f64 b 25)) 1/18) (*.f64 a a)))) (*.f64 (*.f64 (pow.f64 (*.f64 c (/.f64 c (pow.f64 b 11))) 1/18) (pow.f64 (*.f64 c (/.f64 c (pow.f64 b 11))) 1/18)) (*.f64 (*.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) 1/3)))) |
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(+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 b a)) (+.f64 (*.f64 (/.f64 (+.f64 (*.f64 1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 34)) (pow.f64 a 16)) 1/9)) (*.f64 4/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 34)) (pow.f64 a 16)) 1/9))) (pow.f64 c 2)) (pow.f64 (/.f64 (*.f64 1 b) a) 1/3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 23)) (pow.f64 a 14)) 1/9)) (*.f64 -2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 23)) (pow.f64 a 14)) 1/9))) c)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 2)) (pow.f64 a 2)) 1/3) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 b 5) (pow.f64 a 2)))) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 b 5) (pow.f64 a 2)))) (*.f64 -1/3 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 (pow.f64 b 11) (pow.f64 a 2)) 1/3))) (*.f64 1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 11)) (pow.f64 a 2)) 1/3))) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 4)) (pow.f64 a 4)) 1/3))))))) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 b) a) 1/3) (+.f64 (*.f64 -2 (*.f64 (pow.f64 (/.f64 (*.f64 1 b) a) 1/3) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 b 5) (pow.f64 a 2)))) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 b 5) (pow.f64 a 2)))) (*.f64 -1/3 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 (pow.f64 b 11) (pow.f64 a 2)) 1/3))) (*.f64 1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 11)) (pow.f64 a 2)) 1/3))) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 4)) (pow.f64 a 4)) 1/3))))))) (*.f64 -4/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 (pow.f64 b 16) (pow.f64 a 7)) 1/3))))) (+.f64 (*.f64 -4/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 (pow.f64 b 17) (pow.f64 a 8)) 1/3))) (*.f64 -1/3 (*.f64 (+.f64 (*.f64 1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 34)) (pow.f64 a 16)) 1/9)) (*.f64 4/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 34)) (pow.f64 a 16)) 1/9))) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 17)) (pow.f64 a 8)) 1/9)))))) (pow.f64 c 3))) (*.f64 4/9 (*.f64 (/.f64 1 (pow.f64 c 2)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 37)) (pow.f64 a 19)) 1/9))))))) |
(+.f64 (/.f64 b a) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 b 34) (pow.f64 a 16)) 1/18) (pow.f64 (/.f64 (pow.f64 b 34) (pow.f64 a 16)) 1/18)) 5/9) (*.f64 c c)) (cbrt.f64 (/.f64 b a)) (fma.f64 -1 (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 b 23) (pow.f64 a 14)) 1/18) (pow.f64 (/.f64 (pow.f64 b 23) (pow.f64 a 14)) 1/18)) -1) c) (fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (cbrt.f64 (/.f64 (*.f64 b b) (*.f64 a a))) (+.f64 (+.f64 (*.f64 2/27 (/.f64 (pow.f64 b 5) (*.f64 a a))) (*.f64 1/27 (/.f64 (pow.f64 b 5) (*.f64 a a)))) (*.f64 -1/3 (*.f64 (+.f64 (*.f64 -2/9 (cbrt.f64 (/.f64 (pow.f64 b 11) (*.f64 a a)))) (*.f64 1/27 (cbrt.f64 (/.f64 (pow.f64 b 11) (*.f64 a a))))) (cbrt.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))))) (fma.f64 (cbrt.f64 (/.f64 b a)) (fma.f64 -2 (*.f64 (cbrt.f64 (/.f64 b a)) (+.f64 (+.f64 (*.f64 2/27 (/.f64 (pow.f64 b 5) (*.f64 a a))) (*.f64 1/27 (/.f64 (pow.f64 b 5) (*.f64 a a)))) (*.f64 -1/3 (*.f64 (+.f64 (*.f64 -2/9 (cbrt.f64 (/.f64 (pow.f64 b 11) (*.f64 a a)))) (*.f64 1/27 (cbrt.f64 (/.f64 (pow.f64 b 11) (*.f64 a a))))) (cbrt.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))))) (*.f64 -4/27 (cbrt.f64 (/.f64 (pow.f64 b 16) (pow.f64 a 7))))) (+.f64 (*.f64 -4/27 (cbrt.f64 (/.f64 (pow.f64 b 17) (pow.f64 a 8)))) (*.f64 -1/3 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 b 34) (pow.f64 a 16)) 1/18) (pow.f64 (/.f64 (pow.f64 b 34) (pow.f64 a 16)) 1/18)) 5/9) (*.f64 (pow.f64 (/.f64 (pow.f64 b 17) (pow.f64 a 8)) 1/18) (pow.f64 (/.f64 (pow.f64 b 17) (pow.f64 a 8)) 1/18))))))) (pow.f64 c 3)) (*.f64 (*.f64 4/9 (/.f64 1 (*.f64 c c))) (*.f64 (pow.f64 (/.f64 (pow.f64 b 37) (pow.f64 a 19)) 1/18) (pow.f64 (/.f64 (pow.f64 b 37) (pow.f64 a 19)) 1/18))))))) |
(+.f64 (/.f64 b a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 b 34) (pow.f64 a 16)) 1/18) (pow.f64 (/.f64 (pow.f64 b 34) (pow.f64 a 16)) 1/18)) c) (/.f64 5/9 c)) (cbrt.f64 (/.f64 b a)) (-.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 b 37) (pow.f64 a 19)) 1/18) (pow.f64 (/.f64 (pow.f64 b 37) (pow.f64 a 19)) 1/18)) (/.f64 4/9 (*.f64 c c))) (/.f64 (-.f64 (fma.f64 (cbrt.f64 (/.f64 b a)) (fma.f64 -4/27 (cbrt.f64 (/.f64 (pow.f64 b 16) (pow.f64 a 7))) (*.f64 (cbrt.f64 (/.f64 b a)) (*.f64 (+.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 b 11) (*.f64 a a))) -5/27) (*.f64 -1/3 (cbrt.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))) (*.f64 (/.f64 (pow.f64 b 5) (*.f64 a a)) 1/9)) -2))) (fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 b 34) (pow.f64 a 16)) 1/18) (pow.f64 (/.f64 (pow.f64 b 34) (pow.f64 a 16)) 1/18)) (*.f64 5/9 (*.f64 (pow.f64 (/.f64 (pow.f64 b 17) (pow.f64 a 8)) 1/18) (pow.f64 (/.f64 (pow.f64 b 17) (pow.f64 a 8)) 1/18)))) (*.f64 -4/27 (cbrt.f64 (/.f64 (pow.f64 b 17) (pow.f64 a 8)))))) (*.f64 (cbrt.f64 (*.f64 (/.f64 b a) (/.f64 b a))) (+.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 b 11) (*.f64 a a))) -5/27) (*.f64 -1/3 (cbrt.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))) (*.f64 (/.f64 (pow.f64 b 5) (*.f64 a a)) 1/9)))) (pow.f64 c 3))) (/.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 b 23) (pow.f64 a 14)) 1/18) (pow.f64 (/.f64 (pow.f64 b 23) (pow.f64 a 14)) 1/18)) (/.f64 c -1))))) |
(+.f64 (/.f64 b a) (-.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 b 34) (pow.f64 a 16)) 1/18) (pow.f64 (/.f64 (pow.f64 b 34) (pow.f64 a 16)) 1/18)) (/.f64 5/9 (*.f64 c c))) (cbrt.f64 (/.f64 b a)) (fma.f64 4/9 (*.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 b 37) (pow.f64 a 19)) 1/18) (*.f64 c c)) (pow.f64 (/.f64 (pow.f64 b 37) (pow.f64 a 19)) 1/18)) (*.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 b 23) (pow.f64 a 14)) 1/18) c) (pow.f64 (/.f64 (pow.f64 b 23) (pow.f64 a 14)) 1/18)))) (/.f64 (+.f64 (fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 b 34) (pow.f64 a 16)) 1/18) (pow.f64 (/.f64 (pow.f64 b 34) (pow.f64 a 16)) 1/18)) (*.f64 5/9 (*.f64 (pow.f64 (/.f64 (pow.f64 b 17) (pow.f64 a 8)) 1/18) (pow.f64 (/.f64 (pow.f64 b 17) (pow.f64 a 8)) 1/18)))) (*.f64 -4/27 (cbrt.f64 (/.f64 (pow.f64 b 17) (pow.f64 a 8))))) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 b 11) (*.f64 a a))) -5/27) (*.f64 -1/3 (cbrt.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))) (/.f64 (*.f64 (pow.f64 b 5) 1/9) (*.f64 a a))) (+.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 b a) (/.f64 b a)))) (*.f64 (cbrt.f64 (/.f64 b a)) (*.f64 -2 (cbrt.f64 (/.f64 b a)))))) (*.f64 -4/27 (*.f64 (cbrt.f64 (/.f64 (pow.f64 b 16) (pow.f64 a 7))) (cbrt.f64 (/.f64 b a)))))) (pow.f64 c 3)))) |
Compiled 8 to 4 computations (50% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 2.5b | (*.f64 c (/.f64 a (*.f64 b -1/2))) |
| ✓ | 10.1b | (*.f64 (*.f64 c (/.f64 a (*.f64 b -1/2))) (/.f64 1/2 a)) |
Compiled 37 to 23 computations (37.8% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | c | @ | 0 | (*.f64 (*.f64 c (/.f64 a (*.f64 b -1/2))) (/.f64 1/2 a)) |
| 0.0ms | a | @ | -inf | (*.f64 (*.f64 c (/.f64 a (*.f64 b -1/2))) (/.f64 1/2 a)) |
| 0.0ms | c | @ | -inf | (*.f64 (*.f64 c (/.f64 a (*.f64 b -1/2))) (/.f64 1/2 a)) |
| 0.0ms | b | @ | inf | (*.f64 (*.f64 c (/.f64 a (*.f64 b -1/2))) (/.f64 1/2 a)) |
| 0.0ms | b | @ | -inf | (*.f64 (*.f64 c (/.f64 a (*.f64 b -1/2))) (/.f64 1/2 a)) |
| 1× | batch-egg-rewrite |
| 637× | log-prod_binary64 |
| 422× | pow-prod-down_binary64 |
| 302× | pow2_binary64 |
| 262× | pow-unpow_binary64 |
| 215× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 26 |
| 1 | 237 | 26 |
| 2 | 3172 | 26 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 c (/.f64 a (*.f64 b -1/2))) (/.f64 1/2 a)) |
(*.f64 c (/.f64 a (*.f64 b -1/2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c (/.f64 a (*.f64 (*.f64 b -1/2) (/.f64 a 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 c) (/.f64 -2 b)) a) (/.f64 1/2 a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 c) (/.f64 -2 b)) a) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 c) (/.f64 -2 b)) a) (/.f64 1/2 a)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 c) (/.f64 -2 b)) a) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b -1/2) (/.f64 a 1/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c a) (/.f64 -2 b)) (/.f64 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 c (*.f64 (*.f64 a (/.f64 -2 b)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (*.f64 (*.f64 a (/.f64 -2 b)) 1/2)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c a) (*.f64 (/.f64 a 1/2) (*.f64 b -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 c (*.f64 (*.f64 a (/.f64 -2 b)) 1/2))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c a) -1/2) (*.f64 (*.f64 b -1/2) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c a) 1/2) (*.f64 (*.f64 b -1/2) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c a) 1) (*.f64 (*.f64 b -1/2) (/.f64 a 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (*.f64 c a)) (*.f64 (neg.f64 a) (*.f64 b -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (*.f64 c a)) (*.f64 a (*.f64 b -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c (*.f64 (*.f64 a (/.f64 -2 b)) 1/2)) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c (*.f64 (*.f64 a (/.f64 -2 b)) 1/2)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c (*.f64 (*.f64 a (/.f64 -2 b)) 1/2)) (sqrt.f64 a)) (sqrt.f64 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 (*.f64 -1/2 (*.f64 (*.f64 c a) (/.f64 -2 b))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 c a) (/.f64 -2 b)) -1/2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 a) (*.f64 c a)) (*.f64 b -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b -1/2) (/.f64 a 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b -1/2) (/.f64 a 1/2)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b -1/2) (/.f64 a 1/2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b -1/2) (/.f64 a 1/2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b -1/2) (/.f64 a 1/2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 c (*.f64 (*.f64 a (/.f64 -2 b)) 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b -1/2) (/.f64 a 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 c) (/.f64 -2 b)) a) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b -1/2) (/.f64 a 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b -1/2) (/.f64 a 1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b -1/2) (/.f64 a 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b -1/2) (/.f64 a 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b -1/2) (/.f64 a 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b -1/2) (/.f64 a 1/2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b -1/2) (/.f64 a 1/2)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b -1/2) (/.f64 a 1/2)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b -1/2) (/.f64 a 1/2)))))) 2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 c a) (/.f64 -2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 c) (/.f64 -2 b)) a)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 c) (/.f64 -2 b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 c) (/.f64 -2 b)) a))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 c) (/.f64 -2 b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 c a) (/.f64 -2 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (*.f64 -1/2 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 b -1/2) (*.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 (neg.f64 (*.f64 c a)) (*.f64 b 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) b) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) -1/2) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) 1) (*.f64 b -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) (pow.f64 (cbrt.f64 (*.f64 b -1/2)) 2)) (cbrt.f64 (*.f64 b -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) (sqrt.f64 (*.f64 b -1/2))) (sqrt.f64 (*.f64 b -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a) c) (*.f64 b 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a b) c) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (neg.f64 a)) (*.f64 b 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (/.f64 a b)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 c a) (/.f64 -2 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 c a) (/.f64 -2 b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 c a) (/.f64 -2 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 b -1/2) (*.f64 c a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 c a) (/.f64 -2 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 c) (/.f64 -2 b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 c a) (/.f64 -2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 c a) (/.f64 -2 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 c a) (/.f64 -2 b)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 c a) (/.f64 -2 b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 c a) (/.f64 -2 b)))) 2)))))) |
| 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 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 2 (/.f64 (*.f64 c a) b)) |
| ✓ | 3.4b | (/.f64 (*.f64 c a) b) |
| ✓ | 4.0b | (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
Compiled 55 to 26 computations (52.7% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | c | @ | 0 | (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
| 1.0ms | b | @ | 0 | (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
| 1.0ms | b | @ | inf | (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
| 1.0ms | a | @ | 0 | (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
| 1.0ms | c | @ | -inf | (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
| 1× | batch-egg-rewrite |
| 807× | log-prod_binary64 |
| 340× | fma-def_binary64 |
| 267× | pow1/3_binary64 |
| 261× | expm1-udef_binary64 |
| 261× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 37 |
| 1 | 288 | 37 |
| 2 | 4127 | 37 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
(/.f64 (*.f64 c a) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a)))) (cbrt.f64 (exp.f64 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a))))) (#(struct:change #<rule 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(/.f64 c b) a) (*.f64 b -2))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a))) (sqrt.f64 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2))) (/.f64 1 (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) 1/2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2))) 2) 2) (/.f64 (cbrt.f64 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(*.f64 b -2)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) 3) (pow.f64 (+.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 c b) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 c b) a))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 c b) a))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 c b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 c b) a)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 c b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 c b) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (/.f64 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (*.f64 a (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (*.f64 c (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c a) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 c b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) (*.f64 (cbrt.f64 (*.f64 c a)) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 2) (cbrt.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 c b) a)) (sqrt.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c (neg.f64 a)) (/.f64 1 (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b) (*.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c 1) (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a 1) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c b) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) 1) (/.f64 (cbrt.f64 (*.f64 c a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 c a)) 1) (/.f64 (sqrt.f64 (*.f64 c a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (pow.f64 (cbrt.f64 b) 2)) (/.f64 a (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (pow.f64 (cbrt.f64 b) 2)) (/.f64 c (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 b) 2)) (/.f64 (*.f64 c a) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 (*.f64 c a)) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (sqrt.f64 b)) (/.f64 a (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (sqrt.f64 b)) (/.f64 c (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 b)) (/.f64 (*.f64 c a) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) (sqrt.f64 b)) (/.f64 (cbrt.f64 (*.f64 c a)) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 c b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 c b) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 b a) c) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (/.f64 b a) c) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 c a) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 c b) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 c b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 c b) a)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c b) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (/.f64 (/.f64 b a) c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 2 (/.f64 (/.f64 b a) c)))) (cbrt.f64 (exp.f64 (/.f64 2 (/.f64 (/.f64 b a) c)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (/.f64 (/.f64 b a) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (/.f64 (/.f64 b a) c))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (/.f64 (/.f64 b a) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 (/.f64 (/.f64 b a) c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 b a) c))))) (#(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 c 2) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c (neg.f64 a)) 2) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 c) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 c (neg.f64 a))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (/.f64 (/.f64 b a) c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (/.f64 (/.f64 b a) c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 (/.f64 (/.f64 b a) c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8 (pow.f64 (*.f64 (/.f64 c b) a) 3)) 1/3)))) (#(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 b a) c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (/.f64 (/.f64 b a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (/.f64 (/.f64 b a) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 8 (pow.f64 (*.f64 (/.f64 c b) a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (/.f64 (/.f64 b a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (/.f64 (/.f64 b a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (/.f64 (/.f64 b a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2 (/.f64 (/.f64 b a) c))) 1)))))) |
| 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 -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))) |
| 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 -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)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 (/.f64 1/2 a) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 (/.f64 1/2 a) (neg.f64 b))) |
| ✓ | 0.2b | (*.f64 (/.f64 1/2 a) (neg.f64 b)) |
| ✓ | 0.3b | (*.f64 (/.f64 1/2 a) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) |
| ✓ | 12.0b | (sqrt.f64 (*.f64 -4 (*.f64 c a))) |
Compiled 60 to 33 computations (45% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | c | @ | 0 | (+.f64 (*.f64 (/.f64 1/2 a) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 (/.f64 1/2 a) (neg.f64 b))) |
| 1.0ms | c | @ | 0 | (*.f64 (/.f64 1/2 a) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) |
| 1.0ms | b | @ | 0 | (+.f64 (*.f64 (/.f64 1/2 a) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 (/.f64 1/2 a) (neg.f64 b))) |
| 1.0ms | a | @ | -inf | (*.f64 (/.f64 1/2 a) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) |
| 1.0ms | a | @ | 0 | (*.f64 (/.f64 1/2 a) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) |
| 1× | batch-egg-rewrite |
| 748× | log-prod_binary64 |
| 359× | pow2_binary64 |
| 350× | fma-def_binary64 |
| 251× | expm1-udef_binary64 |
| 251× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 53 |
| 1 | 311 | 49 |
| 2 | 4260 | 49 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 -4 (*.f64 c a))) |
(*.f64 (/.f64 1/2 a) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) |
(*.f64 (/.f64 1/2 a) (neg.f64 b)) |
(+.f64 (*.f64 (/.f64 1/2 a) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 (/.f64 1/2 a) (neg.f64 b))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 a (*.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 a (*.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (*.f64 -4 c))) (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (cbrt.f64 (*.f64 a (*.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a (*.f64 -4 c))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 a (*.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a (*.f64 -4 c))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 a (*.f64 -4 c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -4 c) 1/2) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 -4 c)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 -4 c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (sqrt.f64 (*.f64 a (*.f64 -4 c))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (sqrt.f64 (*.f64 a (*.f64 -4 c)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) (/.f64 1/2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) (*.f64 a 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 a (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 1/2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 1/2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 1/2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 1/2) (cbrt.f64 (*.f64 a a))) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 1/2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) -1/2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) (/.f64 1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) (/.f64 1/2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) (/.f64 1/2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) (/.f64 1/2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 a (*.f64 -4 c)) (/.f64 1/4 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) (/.f64 1/2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) (/.f64 1/2 a))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1/2 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (/.f64 1/2 a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (/.f64 1/2 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (/.f64 1/2 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1/2 a) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (*.f64 a 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 1/2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 b) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 b) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 b) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 b) (cbrt.f64 (*.f64 a a))) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 b) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b -1/2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1/2 a) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 1/2 a) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 1/2 a) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 1/2 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 1/2 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 1/2 a) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1/2 a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1/2 a) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 1/2 a) b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 1/2 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 1/2 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 1/2 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/2 a) b)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) (/.f64 1/2 a)) (*.f64 (/.f64 1/2 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1/2 a) (fma.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a) b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 a (*.f64 -4 c)) (/.f64 1/4 (*.f64 a a))) (*.f64 (/.f64 1/2 a) (fma.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a) b))) (/.f64 (pow.f64 (*.f64 (/.f64 1/2 a) b) 2) (*.f64 (/.f64 1/2 a) (fma.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 1 a) (fma.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (fma.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 1/2 a) (fma.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 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(/.f64 1/2 a) (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4)) (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) (*.f64 (/.f64 1/2 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/2 a) (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4)) (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 1/2 a) b) 2))) (cbrt.f64 (*.f64 (/.f64 1/2 a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/2 a) (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4)) (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 1/2 a) b))) (sqrt.f64 (*.f64 (/.f64 1/2 a) b)))))))) |
| 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 | 399 |
| 1 | 24 | 399 |
| 2 | 39 | 399 |
| 3 | 49 | 399 |
| 4 | 51 | 399 |
| 5 | 52 | 399 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.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))) |
| Outputs |
|---|
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 b (/.f64 a -1/2)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 b (/.f64 a -1/2)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 b (/.f64 a -1/2)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 b (/.f64 a -1/2)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 b (/.f64 a -1/2)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 b (/.f64 a -1/2)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 b (/.f64 a -1/2)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 b (/.f64 a -1/2)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 b (/.f64 a -1/2)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 b (/.f64 a -1/2)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 b (/.f64 a -1/2)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 b (/.f64 a -1/2)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 b (/.f64 a -1/2)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 b (/.f64 a -1/2)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 b (/.f64 a -1/2)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 b (/.f64 a -1/2)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 b (/.f64 a -1/2)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 b (/.f64 a -1/2)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 b (/.f64 a -1/2)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 b (/.f64 a -1/2)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 b (/.f64 a -1/2)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 b (/.f64 a -1/2)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 b (/.f64 a -1/2)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 b (/.f64 a -1/2)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 b (/.f64 a -1/2)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 b (/.f64 a -1/2)) |
(*.f64 1/2 (*.f64 (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 -1/2 (/.f64 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 b (/.f64 a -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 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 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 b (/.f64 a -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 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 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 b (/.f64 a -1/2))) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 b (/.f64 a -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 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 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 b (/.f64 a -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 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 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 b (/.f64 a -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 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 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 b (/.f64 a -1/2))) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 b (/.f64 a -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 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 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 b (/.f64 a -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 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 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 b (/.f64 a -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 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 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 b (/.f64 a -1/2))) |
Compiled 15208 to 10214 computations (32.8% saved)
31 alts after pruning (23 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 555 | 9 | 564 |
| Fresh | 0 | 14 | 14 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 8 | 9 |
| Total | 557 | 31 | 588 |
| Status | Error | Program |
|---|---|---|
| ✓ | 44.9b | (*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a)) |
| 47.3b | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| 47.2b | (/.f64 1 (/.f64 (neg.f64 a) b)) | |
| 45.9b | (*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c)) | |
| ✓ | 48.0b | (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
| 55.6b | (/.f64 c b) | |
| 51.6b | (/.f64 (+.f64 (*.f64 2 (exp.f64 (log.f64 (*.f64 (/.f64 c b) a)))) (*.f64 -2 b)) (*.f64 2 a)) | |
| 54.6b | (*.f64 (sqrt.f64 (/.f64 1/2 a)) (*.f64 (sqrt.f64 (/.f64 1/2 a)) (fma.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a) b))) | |
| ✓ | 38.8b | (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
| 44.7b | (/.f64 (-.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b)) (*.f64 (*.f64 a 2) (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b))) | |
| ✓ | 62.2b | (/.f64 b a) |
| 54.6b | (pow.f64 (sqrt.f64 (*.f64 (/.f64 1/2 a) (fma.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a) b))) 2) | |
| ✓ | 32.8b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| 48.0b | (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a)) | |
| ✓ | 47.1b | (/.f64 (neg.f64 b) a) |
| 47.2b | (*.f64 (*.f64 b -2) (/.f64 1/2 a)) | |
| 43.0b | (/.f64 1 (/.f64 a (*.f64 (-.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) 1/2))) | |
| 57.7b | (+.f64 (sqrt.f64 (*.f64 (*.f64 a (*.f64 -4 c)) (/.f64 1/4 (*.f64 a a)))) (*.f64 (/.f64 1/2 a) (neg.f64 b))) | |
| 44.9b | (/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 a 2)) | |
| 43.0b | (-.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) (/.f64 1/2 a)) (*.f64 (/.f64 1/2 a) b)) | |
| 43.0b | (/.f64 (-.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (*.f64 a 2)) | |
| 47.8b | (*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a)) | |
| 53.4b | (+.f64 (*.f64 (/.f64 1/2 a) (*.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a))) (*.f64 (/.f64 1/2 a) (neg.f64 b))) | |
| 48.8b | (*.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)) b) (/.f64 1/2 a)) | |
| 43.7b | (/.f64 (*.f64 (/.f64 1/2 a) (-.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))) (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b)) | |
| 43.0b | (*.f64 (-.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (/.f64 1/2 a)) | |
| 62.2b | (pow.f64 (cbrt.f64 (/.f64 a b)) -3) | |
| 47.4b | (/.f64 (+.f64 (*.f64 2 (*.f64 c (*.f64 a (/.f64 1 b)))) (*.f64 -2 b)) (*.f64 2 a)) | |
| ✓ | 44.8b | (*.f64 (*.f64 c (/.f64 a (*.f64 b -1/2))) (/.f64 1/2 a)) |
| ✓ | 38.8b | (/.f64 (neg.f64 c) b) |
| 43.5b | (*.f64 (/.f64 1/2 a) (-.f64 (hypot.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2) b) b)) |
Compiled 486 to 350 computations (28% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 b) a) |
(/.f64 (neg.f64 c) b) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 1 (/.f64 (neg.f64 b) c)) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (-.f64 b b) (/.f64 1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (-.f64 b b) (/.f64 1/2 a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 a 2)) |
(*.f64 (*.f64 c (/.f64 a (*.f64 b -1/2))) (/.f64 1/2 a)) |
(*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a)) |
(/.f64 (/.f64 (*.f64 -2 c) (/.f64 b a)) (*.f64 2 a)) |
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a)) |
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c)) |
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
(/.f64 (+.f64 (*.f64 2 (*.f64 c (*.f64 a (/.f64 1 b)))) (*.f64 -2 b)) (*.f64 2 a)) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (*.f64 a 2)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (/.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 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) 1/2))) |
(*.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b) (/.f64 1/2 a)) |
(-.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) (/.f64 1/2 a)) (*.f64 (/.f64 1/2 a) b)) |
(+.f64 (*.f64 (/.f64 1/2 a) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 (/.f64 1/2 a) (neg.f64 b))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
(+.f64 (sqrt.f64 (*.f64 (*.f64 a (*.f64 -4 c)) (/.f64 1/4 (*.f64 a a)))) (*.f64 (/.f64 1/2 a) (neg.f64 b))) |
(/.f64 (-.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b)) (*.f64 (*.f64 a 2) (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b))) |
(/.f64 (*.f64 (/.f64 1/2 a) (-.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))) (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b)) |
(pow.f64 (cbrt.f64 (/.f64 a b)) -3) |
(pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -3) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 3/2)) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) 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 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 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1) (*.f64 2 a)) |
(/.f64 (+.f64 (*.f64 2 (exp.f64 (log.f64 (*.f64 (/.f64 c b) a)))) (*.f64 -2 b)) (*.f64 2 a)) |
(+.f64 (*.f64 (/.f64 1/2 a) (*.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a))) (*.f64 (/.f64 1/2 a) (neg.f64 b))) |
(+.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (/.f64 1/2 a)) (*.f64 (neg.f64 b) (/.f64 1/2 a))) |
(*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2)) b) (/.f64 1/2 a)) |
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)) -1)) |
(*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2) b) (/.f64 1/2 a)) |
(/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (pow.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 1/4) 2)) b) 1/2))) |
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 1/4) 2)) (*.f64 2 a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (pow.f64 (cbrt.f64 (*.f64 4 (*.f64 a c))) 3)))) (*.f64 2 a)) |
(/.f64 (-.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 a 2) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) |
(/.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 b b)) (*.f64 (*.f64 a 2) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) |
(/.f64 (/.f64 (-.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (*.f64 2 a)) |
(/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (*.f64 2 a)) |
(/.f64 (/.f64 (*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 c b) a) -2 b) b) 1/2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a)) |
(*.f64 (/.f64 1/2 a) (-.f64 (hypot.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2) b) b)) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1/2 a) (fma.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a) b))) 2) |
(*.f64 (sqrt.f64 (/.f64 1/2 a)) (*.f64 (sqrt.f64 (/.f64 1/2 a)) (fma.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a) b))) |
| 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:
| 243.0ms | a |
| 237.0ms | c |
| 197.0ms | b |
| 109.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| Error | Segments | Branch |
|---|---|---|
| 21.3b | 5 | a |
| 8.9b | 3 | b |
| 21.3b | 6 | c |
| 10.7b | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
Compiled 894 to 523 computations (41.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 235.0ms | 0.0024148245359729634 | 0.011214487783014598 |
| 131.0ms | -248421322691510.9 | -1094075122890.457 |
Compiled 403 to 292 computations (27.5% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 b) a) |
(/.f64 (neg.f64 c) b) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 1 (/.f64 (neg.f64 b) c)) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (-.f64 b b) (/.f64 1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (-.f64 b b) (/.f64 1/2 a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 a 2)) |
(*.f64 (*.f64 c (/.f64 a (*.f64 b -1/2))) (/.f64 1/2 a)) |
(*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a)) |
(/.f64 (/.f64 (*.f64 -2 c) (/.f64 b a)) (*.f64 2 a)) |
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a)) |
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c)) |
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
(/.f64 (+.f64 (*.f64 2 (*.f64 c (*.f64 a (/.f64 1 b)))) (*.f64 -2 b)) (*.f64 2 a)) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (*.f64 a 2)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (/.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 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) 1/2))) |
(*.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b) (/.f64 1/2 a)) |
(-.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) (/.f64 1/2 a)) (*.f64 (/.f64 1/2 a) b)) |
(+.f64 (*.f64 (/.f64 1/2 a) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 (/.f64 1/2 a) (neg.f64 b))) |
| Outputs |
|---|
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (*.f64 a 2)) |
(/.f64 (neg.f64 c) b) |
3 calls:
| 147.0ms | c |
| 145.0ms | a |
| 41.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 28.6b | 10 | a |
| 10.2b | 3 | b |
| 31.2b | 7 | c |
Compiled 308 to 170 computations (44.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 191.0ms | 0.0024148245359729634 | 0.011214487783014598 |
| 133.0ms | -36.03438871011904 | -0.012872346137363433 |
Compiled 386 to 279 computations (27.7% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 b) a) |
(/.f64 (neg.f64 c) b) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 1 (/.f64 (neg.f64 b) c)) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (-.f64 b b) (/.f64 1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (-.f64 b b) (/.f64 1/2 a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 a 2)) |
(*.f64 (*.f64 c (/.f64 a (*.f64 b -1/2))) (/.f64 1/2 a)) |
(*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a)) |
(/.f64 (/.f64 (*.f64 -2 c) (/.f64 b a)) (*.f64 2 a)) |
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a)) |
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c)) |
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
(/.f64 (+.f64 (*.f64 2 (*.f64 c (*.f64 a (/.f64 1 b)))) (*.f64 -2 b)) (*.f64 2 a)) |
| Outputs |
|---|
(/.f64 (neg.f64 b) a) |
(/.f64 (neg.f64 c) b) |
3 calls:
| 60.0ms | a |
| 52.0ms | c |
| 24.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 36.3b | 5 | a |
| 23.2b | 2 | b |
| 36.1b | 5 | c |
Compiled 210 to 111 computations (47.1% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 59.0ms | -3.785311422898734e-306 | 1.8709535496419837e-305 |
Compiled 170 to 127 computations (25.3% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
| Outputs |
|---|
(/.f64 (neg.f64 c) b) |
3 calls:
| 5.0ms | b |
| 4.0ms | c |
| 4.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 38.8b | 1 | a |
| 38.8b | 1 | b |
| 38.8b | 1 | c |
Compiled 25 to 16 computations (36% saved)
Total -7.4b remaining (-13.3%)
Threshold costs -7.4b (-13.3%)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 b a) |
| Outputs |
|---|
(/.f64 c b) |
3 calls:
| 4.0ms | b |
| 4.0ms | c |
| 3.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 55.6b | 1 | a |
| 55.6b | 1 | b |
| 55.6b | 1 | c |
Compiled 21 to 14 computations (33.3% saved)
| 1× | egg-herbie |
| 12× | *-commutative_binary64 |
| 11× | +-commutative_binary64 |
| 10× | sub-neg_binary64 |
| 7× | neg-sub0_binary64 |
| 7× | neg-mul-1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 124 |
| 1 | 64 | 122 |
| 2 | 90 | 122 |
| 3 | 102 | 122 |
| 4 | 108 | 122 |
| 5 | 109 | 122 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 b -1100000000000) (/.f64 (neg.f64 b) a) (if (<=.f64 b 2824657686286775/1152921504606846976) (/.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 -7493989779944505/576460752303423488) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2824657686286775/1152921504606846976) (/.f64 (-.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b -22854258338533/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488) (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c b) |
| Outputs |
|---|
(if (<=.f64 b -1100000000000) (/.f64 (neg.f64 b) a) (if (<=.f64 b 2824657686286775/1152921504606846976) (/.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 -1100000000000) (neg.f64 (/.f64 b a)) (if (<=.f64 b 2824657686286775/1152921504606846976) (/.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 -1100000000000) (neg.f64 (/.f64 b a)) (if (<=.f64 b 2824657686286775/1152921504606846976) (/.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 -1100000000000) (/.f64 (neg.f64 b) a) (if (<=.f64 b 2824657686286775/1152921504606846976) (/.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 -7493989779944505/576460752303423488) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2824657686286775/1152921504606846976) (/.f64 (-.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b -7493989779944505/576460752303423488) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2824657686286775/1152921504606846976) (/.f64 (-.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b -22854258338533/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488) (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 c) b)) |
(if (<=.f64 b -22854258338533/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488) (neg.f64 (/.f64 b a)) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c b) |
Compiled 97 to 64 computations (34% saved)
| 4× | egg-herbie |
| 981× | fma-def_binary64 |
| 981× | fma-def_binary64 |
| 978× | times-frac_binary64 |
| 970× | fma-def_binary64 |
| 828× | associate-/r*_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 | 222 | 1791 |
| 1 | 688 | 1412 |
| 2 | 2829 | 1348 |
| 3 | 7355 | 1341 |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
Compiled 932 to 670 computations (28.1% saved)
Compiled 85 to 44 computations (48.2% saved)
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