Time bar (total: 14.7s)
| 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)
| 1.0s | 5505× | body | 256 | valid |
| 647.0ms | 1183× | body | 2048 | valid |
| 298.0ms | 780× | body | 1024 | valid |
| 258.0ms | 1590× | body | 256 | invalid |
| 234.0ms | 398× | body | 4096 | valid |
| 104.0ms | 390× | 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 |
|---|---|---|
| ▶ | 34.4b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| ▶ | 34.5b | (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a)) |
Compiled 38 to 26 computations (31.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a)) |
| ✓ | 0.3b | (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) |
| ✓ | 21.2b | (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 | (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 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 | a | @ | inf | (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) |
| 1× | batch-egg-rewrite |
| 781× | prod-diff_binary64 |
| 636× | log-prod_binary64 |
| 366× | fma-def_binary64 |
| 244× | expm1-udef_binary64 |
| 244× | log1p-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 51 |
| 1 | 280 | 51 |
| 2 | 3646 | 48 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) |
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b)))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) (fma.f64 -1 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) 1 (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4)))))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2))) (sqrt.f64 (cbrt.f64 (pow.f64 b 4))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4)))))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2))) (sqrt.f64 (cbrt.f64 (pow.f64 b 4))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (fma.f64 b 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| 1× | egg-herbie |
| 978× | times-frac_binary64 |
| 970× | fma-def_binary64 |
| 643× | associate-/l*_binary64 |
| 581× | associate-/r*_binary64 |
| 421× | associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 182 | 2075 |
| 1 | 576 | 2019 |
| 2 | 2099 | 1854 |
| 1× | node limit |
| Inputs |
|---|
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -1 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -2 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))) |
(*.f64 -1 (/.f64 c b)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(*.f64 -1 (/.f64 c b)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (*.f64 a b))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))))))) |
(*.f64 -1 (/.f64 c b)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
| Outputs |
|---|
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))) |
(+.f64 b (fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (*.f64 c -2) (/.f64 b a))))) |
(+.f64 b (fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))) |
(+.f64 b (fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (*.f64 c -2) (/.f64 b a))))) |
(+.f64 b (fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/2))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (*.f64 b b) 1/2) (sqrt.f64 -4)))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/2)))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/2))))) |
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))) |
(+.f64 b (fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (*.f64 c -2) (/.f64 b a))))) |
(+.f64 b (fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))))) |
(*.f64 -1 b) |
(neg.f64 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b)) |
(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b)) |
(-.f64 (/.f64 (*.f64 (*.f64 2 a) c) b) b) |
(-.f64 (/.f64 (*.f64 c 2) (/.f64 b a)) b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))) |
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b))) |
(-.f64 (*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)))) b) |
(fma.f64 2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (neg.f64 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))) |
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b)))) |
(fma.f64 (*.f64 (/.f64 c b) a) 2 (-.f64 (fma.f64 2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) 4)) b)) |
(fma.f64 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) 4 (fma.f64 2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (neg.f64 b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 c -2) (/.f64 b a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(*.f64 -2 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 c (/.f64 b a)))) |
(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)))) |
(*.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (*.f64 c -2) (/.f64 b a)))) |
(fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 (pow.f64 a 4) (/.f64 b (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (*.f64 -2 (/.f64 (*.f64 c c) (pow.f64 b 3))) 2)))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 a 4) b) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6))))) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (*.f64 c -2) (/.f64 b a))))) |
(fma.f64 -1/2 (*.f64 (pow.f64 c 4) (/.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) b)) (fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 c -2) (/.f64 b a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(*.f64 -2 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 c (/.f64 b a)))) |
(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)))) |
(*.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (*.f64 c -2) (/.f64 b a)))) |
(fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 (pow.f64 a 4) (/.f64 b (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (*.f64 -2 (/.f64 (*.f64 c c) (pow.f64 b 3))) 2)))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 a 4) b) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6))))) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (*.f64 c -2) (/.f64 b a))))) |
(fma.f64 -1/2 (*.f64 (pow.f64 c 4) (/.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) b)) (fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b)) |
(-.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/2)) b)) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (*.f64 b b) 1/2) (sqrt.f64 -4)) (neg.f64 b))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/2)) b))) |
(-.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 c -2) (/.f64 b a)) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(*.f64 -2 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 c (/.f64 b a)))) |
(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)))) |
(*.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (*.f64 c -2) (/.f64 b a)))) |
(fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (*.f64 c c) (*.f64 a a))) 2) (*.f64 16 (*.f64 (pow.f64 a 4) (pow.f64 c 4)))) (pow.f64 b 7)) (fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))) |
(fma.f64 -1/2 (/.f64 (fma.f64 16 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (*.f64 4 (*.f64 (pow.f64 a 4) (pow.f64 c 4)))) (pow.f64 b 7)) (fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (*.f64 c -2) (/.f64 b a))))) |
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) 20) (pow.f64 b 7)) (fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))))) |
(*.f64 -2 b) |
(*.f64 b -2) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) |
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2)) |
(fma.f64 b -2 (/.f64 (*.f64 (*.f64 2 a) c) b)) |
(fma.f64 b -2 (/.f64 (*.f64 c 2) (/.f64 b a))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))) |
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 -2 b (/.f64 (*.f64 2 (*.f64 (*.f64 c c) (*.f64 a a))) (pow.f64 b 3)))) |
(fma.f64 (*.f64 (/.f64 c b) a) 2 (fma.f64 2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (*.f64 b -2))) |
(fma.f64 b -2 (*.f64 2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))) |
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 -2 b (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (*.f64 2 (*.f64 (*.f64 c c) (*.f64 a a))) (pow.f64 b 3))))) |
(fma.f64 (*.f64 (/.f64 c b) a) 2 (fma.f64 b -2 (fma.f64 2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) 4)))) |
(+.f64 (fma.f64 b -2 (*.f64 2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)))) (*.f64 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) 4)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(*.f64 -1 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (/.f64 c b))) |
(-.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))) |
(-.f64 (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 c) b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(-.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (fma.f64 -1/4 (/.f64 (pow.f64 a 3) (/.f64 b (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (*.f64 -2 (/.f64 (*.f64 c c) (pow.f64 b 3))) 2)))) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))) |
(-.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 -1/4 (/.f64 b (*.f64 (pow.f64 a 3) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))))))) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(-.f64 (fma.f64 -2 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (pow.f64 c 3)) (*.f64 (/.f64 -1/4 b) (*.f64 (pow.f64 a 3) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 20)))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(*.f64 -1 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (/.f64 c b))) |
(-.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))) |
(-.f64 (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 c) b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(-.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (*.f64 a b))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (/.f64 (pow.f64 c 4) (/.f64 (*.f64 b a) (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (*.f64 -2 (/.f64 (*.f64 a a) (pow.f64 b 3))) 2)))) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))) |
(-.f64 (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 c 4) b) (/.f64 (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 a 4) (pow.f64 b 6)))) a)) (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 c) b))) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 c 4) (*.f64 b a)) (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20)) (-.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))) |
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(*.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)) |
(*.f64 (*.f64 1/2 (sqrt.f64 -4)) (sqrt.f64 (/.f64 c a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (/.f64 -1/2 (/.f64 a b))) |
(fma.f64 (*.f64 1/2 (sqrt.f64 -4)) (sqrt.f64 (/.f64 c a)) (*.f64 -1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))) |
(fma.f64 1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 b a)))) |
(fma.f64 1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (/.f64 -1/2 (/.f64 a b)))) |
(fma.f64 (sqrt.f64 -4) (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (fma.f64 -1/2 (/.f64 b a) (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (*.f64 1/4 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))))))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))))))) |
(fma.f64 1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (fma.f64 -1/2 (/.f64 b a) (*.f64 -1/16 (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5))))))))) |
(fma.f64 1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (fma.f64 -1/2 (/.f64 b a) (*.f64 (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4))) (*.f64 -1/16 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5))))))))) |
(fma.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (*.f64 1/4 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (fma.f64 (sqrt.f64 -4) (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (fma.f64 -1/2 (/.f64 b a) (*.f64 (/.f64 (pow.f64 b 4) (/.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3))))) 1/64)))) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(*.f64 -1 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (/.f64 c b))) |
(-.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))) |
(-.f64 (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 c) b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(-.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (*.f64 c c) (*.f64 a a))) 2) (*.f64 16 (*.f64 (pow.f64 a 4) (pow.f64 c 4)))) (*.f64 a (pow.f64 b 7))) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))) |
(-.f64 (fma.f64 -1/4 (/.f64 (fma.f64 16 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (*.f64 4 (*.f64 (pow.f64 a 4) (pow.f64 c 4)))) (*.f64 a (pow.f64 b 7))) (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 c) b))) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(fma.f64 -1/4 (/.f64 (*.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) 20) (*.f64 a (pow.f64 b 7))) (-.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))) |
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))) |
(+.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a) (-.f64 (/.f64 c b) (/.f64 b a))) |
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (-.f64 (/.f64 c b) (/.f64 b a))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 b) a)))) |
(+.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))))) |
(-.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 2 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (pow.f64 c 3)) (/.f64 c b))) (/.f64 b a)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| ✓ | 0.3b | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) |
| ✓ | 0.6b | (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) |
| ✓ | 21.2b | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) |
Compiled 73 to 38 computations (47.9% saved)
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | c | @ | -inf | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| 1.0ms | b | @ | 0 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) |
| 0.0ms | b | @ | 0 | (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) |
| 0.0ms | a | @ | 0 | (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) |
| 0.0ms | a | @ | inf | (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) |
| 1× | batch-egg-rewrite |
| 823× | log-prod_binary64 |
| 734× | fma-def_binary64 |
| 373× | fma-neg_binary64 |
| 278× | expm1-udef_binary64 |
| 278× | log1p-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 74 |
| 1 | 342 | 62 |
| 2 | 4924 | 59 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) |
(-.f64 (*.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 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| Outputs |
|---|
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egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 a -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 a -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 a -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 a -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 3) (pow.f64 (+.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 a -2))) 1)))))) |
| 1× | egg-herbie |
| 978× | times-frac_binary64 |
| 978× | fma-def_binary64 |
| 643× | associate-/l*_binary64 |
| 575× | 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 -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 (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 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 c (/.f64 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 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c 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 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))))) |
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c c))) (*.f64 (/.f64 -4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (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 c (/.f64 b a)) (neg.f64 b)) |
(-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b) |
(-.f64 (*.f64 (/.f64 (*.f64 2 c) 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 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)))) b) |
(-.f64 (*.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c 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) (fma.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (neg.f64 b)))) |
(fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (-.f64 (*.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c 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 c (/.f64 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 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c 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 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))))) |
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c c))) (*.f64 (/.f64 -4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 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) |
(fma.f64 -2 (/.f64 c (/.f64 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 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c 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 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))))) |
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c c))) (*.f64 (/.f64 -4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.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)))))) |
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(*.f64 -2 b) |
(*.f64 b -2) |
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(*.f64 -2 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 c (/.f64 b a)))) |
(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)))) |
(*.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c c)))) |
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(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c c))) (*.f64 (/.f64 -4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) |
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(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (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)))))) |
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(*.f64 -2 (/.f64 (*.f64 c a) b)) |
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(/.f64 -2 (/.f64 b (*.f64 c a))) |
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(*.f64 -2 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 c (/.f64 b a)))) |
(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)))) |
(*.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c c)))) |
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(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 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c c))) (*.f64 (/.f64 -4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) |
(*.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))) |
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(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 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (*.f64 1/4 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2) (*.f64 -1/2 (/.f64 b a)))) |
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(fma.f64 1/4 (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (*.f64 (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4))) -1/16))))) |
(fma.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (*.f64 1/4 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 (sqrt.f64 -4) (*.f64 1/2 (sqrt.f64 (/.f64 c 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) |
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(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 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
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(-.f64 (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (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 (/.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 (*.f64 -2 (*.f64 c c)) (*.f64 a a)) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7))) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))) |
(-.f64 (fma.f64 -1/4 (/.f64 (fma.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 4 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7))) (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (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 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))) |
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))) |
(+.f64 (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))) (-.f64 (/.f64 c b) (/.f64 b a))) |
(-.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)) (/.f64 b a)) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 b) a)))) |
(+.f64 (/.f64 c b) (+.f64 (fma.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (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 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 c b))) (/.f64 b a)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(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 (/.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 a (/.f64 (pow.f64 b 3) (*.f64 c c)))) |
(-.f64 (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (fma.f64 -1/4 (/.f64 (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 (*.f64 -1/4 (*.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)))))) b)) (/.f64 c b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))) |
(-.f64 (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (*.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))) |
(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 (/.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 a (/.f64 (pow.f64 b 3) (*.f64 c c)))) |
(-.f64 (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (*.f64 a b))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 4) (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))) (*.f64 a 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) a) (/.f64 (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 a 4) (pow.f64 b 6)))) b)) (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (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 (pow.f64 c 4) a) (/.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) b)) (-.f64 (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))) |
Compiled 18806 to 11501 computations (38.8% saved)
24 alts after pruning (23 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 650 | 23 | 673 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 651 | 24 | 675 |
| Status | Error | Program |
|---|---|---|
| 51.3b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 b b))) (*.f64 2 a)) | |
| ✓ | 34.4b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| 36.2b | (*.f64 (fma.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) (neg.f64 b)) (/.f64 1/2 a)) | |
| ▶ | 44.8b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
| 34.5b | (/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2))) | |
| 47.7b | (*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a)) | |
| 56.3b | (*.f64 (-.f64 b b) (/.f64 1/2 a)) | |
| 34.9b | (pow.f64 (cbrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 a -2))) 3) | |
| 46.9b | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| 37.5b | (/.f64 (neg.f64 c) b) | |
| 46.7b | (*.f64 (*.f64 b -2) (/.f64 1/2 a)) | |
| ▶ | 43.2b | (*.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 1/2 a)) |
| ▶ | 34.5b | (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) b) (/.f64 1/2 a)) |
| 46.0b | (*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) | |
| 45.1b | (/.f64 (*.f64 (/.f64 1/2 a) (-.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 b b))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) | |
| 43.2b | (/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a)) | |
| 35.3b | (*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2) b) (/.f64 1/2 a)) | |
| ▶ | 46.6b | (/.f64 (neg.f64 b) a) |
| 43.2b | (/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a)) | |
| 48.1b | (/.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)))))) | |
| 37.6b | (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 1/2)) b) (/.f64 1/2 a)) | |
| 47.8b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (*.f64 (*.f64 c (*.f64 a -4)) (*.f64 c (*.f64 a -4)))) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))))) (*.f64 2 a)) | |
| ▶ | 44.1b | (*.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2)) b) (/.f64 1/2 a)) |
| 47.1b | (*.f64 (-.f64 (-.f64 (/.f64 (*.f64 c 2) (/.f64 b a)) b) b) (/.f64 1/2 a)) |
Compiled 846 to 584 computations (31% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (*.f64 a c) -4) |
| ✓ | 0.1b | (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) b) (/.f64 1/2 a)) |
| ✓ | 11.8b | (sqrt.f64 (*.f64 (*.f64 a c) -4)) |
Compiled 57 to 30 computations (47.4% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | a | @ | inf | (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) b) (/.f64 1/2 a)) |
| 6.0ms | a | @ | -inf | (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) b) (/.f64 1/2 a)) |
| 6.0ms | c | @ | -inf | (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) b) (/.f64 1/2 a)) |
| 4.0ms | c | @ | inf | (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) b) (/.f64 1/2 a)) |
| 4.0ms | c | @ | 0 | (*.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 | 37 |
| 1 | 283 | 37 |
| 2 | 3647 | 37 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (*.f64 a c) -4)) |
(*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) b) (/.f64 1/2 a)) |
(*.f64 (*.f64 a c) -4) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 a c) -4)) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4))) (cbrt.f64 (*.f64 (*.f64 a 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 (*.f64 a c) -4) 1/4) (pow.f64 (*.f64 (*.f64 a 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 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (*.f64 a 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 (*.f64 a c) -4)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 a c) -4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 a c) -4) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 a c) -4) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 a c) -4) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 a c) -4)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4))) 1)))))) |
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| 1× | egg-herbie |
| 678× | associate-*r*_binary64 |
| 674× | unswap-sqr_binary64 |
| 627× | associate-*l*_binary64 |
| 438× | times-frac_binary64 |
| 321× | associate-/l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 101 | 716 |
| 1 | 288 | 612 |
| 2 | 991 | 576 |
| 3 | 5763 | 553 |
| 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)) |
| Outputs |
|---|
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(*.f64 (*.f64 1/2 (sqrt.f64 -4)) (sqrt.f64 (/.f64 c a))) |
(*.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 (*.f64 1/2 (sqrt.f64 -4)) (sqrt.f64 (/.f64 c a)))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 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 1 (*.f64 c (pow.f64 a 3)))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 -1/2 (/.f64 b a) (*.f64 (*.f64 1/2 (sqrt.f64 -4)) (sqrt.f64 (/.f64 c a))))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (*.f64 b 1/4) (/.f64 (sqrt.f64 -4) b)) (/.f64 -1/2 (/.f64 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 (*.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 -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 -1/2 (/.f64 b a) (*.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))))))) |
(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 1 (*.f64 (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)))) |
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (*.f64 -1/16 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)))) |
(fma.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) 16)) (/.f64 (*.f64 -1 c) b)) |
(+.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 -1 a))) |
(+.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a))) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))) |
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/16 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (*.f64 1/32 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6))))))) |
(+.f64 (/.f64 (*.f64 -1 c) b) (fma.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) 16)) (*.f64 1/32 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a -64)))))) |
(+.f64 (+.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 -1 a))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (*.f64 a a) -2))) |
(+.f64 (+.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (*.f64 a a) -2))) |
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))) |
(fma.f64 -1/4 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (*.f64 (*.f64 -1/8 (*.f64 c c)) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a))) 2)) (*.f64 a (pow.f64 b 7))) (fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/16 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (*.f64 1/32 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6)))))))) |
(+.f64 (fma.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) 16)) (*.f64 1/32 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a -64))))) (fma.f64 -1/4 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -2) 2)) (*.f64 a (pow.f64 b 7))) (/.f64 (*.f64 -1 c) b))) |
(+.f64 (/.f64 (neg.f64 c) b) (fma.f64 -1/4 (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) (*.f64 a (pow.f64 b 7))) (+.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 -1 a)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (*.f64 a a) -2))))) |
(+.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a)) (+.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (*.f64 a a) -2)) (fma.f64 (/.f64 -1/4 a) (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (/.f64 (neg.f64 c) b)))) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a))) |
(fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 (*.f64 1 c) b) (/.f64 b a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))) |
(fma.f64 1/16 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (neg.f64 (/.f64 b a)))) |
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) 16)) 1/16 (/.f64 (*.f64 1 c) b)) (/.f64 b a)) |
(+.f64 (/.f64 c b) (-.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 1 a)) (/.f64 b a))) |
(+.f64 (/.f64 c b) (-.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) (/.f64 b a))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
(fma.f64 1/16 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/32 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6)))) (neg.f64 (/.f64 b a))))) |
(+.f64 (-.f64 (fma.f64 (/.f64 (*.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) 16)) 1/16 (/.f64 (*.f64 1 c) b)) (/.f64 b a)) (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a -64))) -1/32)) |
(+.f64 (/.f64 c b) (+.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 2 (*.f64 a a))) (-.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 1 a)) (/.f64 b a)))) |
(fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 2 (*.f64 a a)) (+.f64 (/.f64 c b) (-.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) (/.f64 b a)))) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
Compiled 11 to 5 computations (54.5% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 -2 (/.f64 (*.f64 c a) b)) |
| ✓ | 3.6b | (/.f64 (*.f64 c a) b) |
| ✓ | 12.2b | (*.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 1/2 a)) |
Compiled 37 to 16 computations (56.8% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | c | @ | inf | (*.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 1/2 a)) |
| 1.0ms | c | @ | 0 | (*.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 1/2 a)) |
| 1.0ms | a | @ | 0 | (*.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 1/2 a)) |
| 1.0ms | b | @ | inf | (/.f64 (*.f64 c a) b) |
| 1.0ms | b | @ | inf | (*.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 1/2 a)) |
| 1× | batch-egg-rewrite |
| 649× | log-prod_binary64 |
| 409× | pow-prod-down_binary64 |
| 311× | pow2_binary64 |
| 257× | pow-unpow_binary64 |
| 221× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 33 |
| 1 | 240 | 30 |
| 2 | 3230 | 30 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 1/2 a)) |
(/.f64 (*.f64 c a) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 -2 c) a) b) (*.f64 a 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 c b) a) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -2 c) a) (*.f64 (*.f64 a 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 (/.f64 c b) a) -1)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 -2 c) a) 1/2) (*.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 -2 c) a) 1) (*.f64 b (*.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 -2 c) a) -1/2) (*.f64 b (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (*.f64 (*.f64 -2 c) a)) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (*.f64 (*.f64 -2 c) a)) (*.f64 (neg.f64 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 -2 c) a) (/.f64 1/2 a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (/.f64 (*.f64 (*.f64 -2 c) a) b)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 (*.f64 -2 c) a) b) -1/2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 a) (*.f64 (*.f64 -2 c) a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 (*.f64 (/.f64 c b) a) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a))) 2)))))) |
((#(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 (exp.f64 (*.f64 (/.f64 c b) a))) 2)) (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 (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 (pow.f64 b -1/2) (/.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) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (*.f64 c a)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.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 b (*.f64 c a)) -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 b (*.f64 c a)) 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 b (*.f64 c 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 exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 b (*.f64 c a)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 c b) a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 c b) a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 b (*.f64 c a))) -1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 (*.f64 -2 c) a) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -2) (/.f64 c b)) a)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -2) (/.f64 c b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -2) (/.f64 c b)) a))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -2) (/.f64 c b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 -2 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 1 (/.f64 b (*.f64 (*.f64 -2 c) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -2 c) a) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 -2 c) a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 -2 c) a) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 -2 c) a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 -2 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 (*.f64 (*.f64 -2 c) a) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (pow.f64 (*.f64 (/.f64 c b) a) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (*.f64 -2 c) a) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 -2 c) a) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 -2 c) a) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (*.f64 (*.f64 -2 c) a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (*.f64 (/.f64 c b) a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -2) (/.f64 c b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (*.f64 -2 c) a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (*.f64 -2 c) a) b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 -2 c) a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 (*.f64 -2 c) a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 (*.f64 -2 c) a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 -2 c) a) b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (*.f64 (*.f64 -2 c) a) b))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 -2 c) a) b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 -2 c) a) b))) 2)))))) |
| 1× | egg-herbie |
| 14× | fma-def_binary64 |
| 8× | sub-neg_binary64 |
| 4× | +-commutative_binary64 |
| 4× | fma-neg_binary64 |
| 3× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 216 |
| 1 | 10 | 216 |
| 2 | 17 | 216 |
| 3 | 23 | 216 |
| 4 | 29 | 216 |
| 5 | 37 | 216 |
| 6 | 45 | 216 |
| 7 | 55 | 216 |
| 8 | 63 | 216 |
| 9 | 77 | 216 |
| 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)) |
| 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) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
| ✓ | 11.8b | (sqrt.f64 (*.f64 c (*.f64 a -4))) |
Compiled 49 to 30 computations (38.8% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | b | @ | -inf | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
| 1.0ms | a | @ | inf | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
| 1.0ms | a | @ | -inf | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
| 1.0ms | c | @ | -inf | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
| 1.0ms | c | @ | inf | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
| 1× | batch-egg-rewrite |
| 680× | log-prod_binary64 |
| 387× | fma-def_binary64 |
| 334× | pow2_binary64 |
| 247× | pow-unpow_binary64 |
| 234× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 29 |
| 1 | 284 | 27 |
| 2 | 3968 | 27 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 c (*.f64 a -4))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 c -4) a)) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))) (cbrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) (pow.f64 (*.f64 (*.f64 c -4) a) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 2))) (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 c -4) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 c -4) a) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 c -4) a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))) 2) (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) 2) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))) (sqrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (/.f64 1 (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) 1/2) (pow.f64 a -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1) (*.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) 2) a) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) a) (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) 2) (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) 2) 2) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) 1) (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) 2) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) 2) (sqrt.f64 (+.f64 a a))) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) 3) (pow.f64 (+.f64 a a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) 3) (pow.f64 (+.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))) 1)))))) |
| 1× | egg-herbie |
| 10× | fma-def_binary64 |
| 8× | *-commutative_binary64 |
| 3× | associate-*r*_binary64 |
| 3× | associate-*l*_binary64 |
| 2× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 231 |
| 1 | 24 | 231 |
| 2 | 39 | 231 |
| 3 | 49 | 231 |
| 4 | 51 | 231 |
| 5 | 52 | 231 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(*.f64 -1/2 (/.f64 b a)) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(*.f64 -1/2 (/.f64 b a)) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
| Outputs |
|---|
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a)) |
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a)) |
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a)) |
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b))) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 (*.f64 -1/2 b) a) |
(/.f64 -1/2 (/.f64 a b)) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a)) |
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a)) |
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a)) |
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b))) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 (*.f64 -1/2 b) a) |
(/.f64 -1/2 (/.f64 a b)) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a)) |
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a)) |
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a)) |
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b))) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 (*.f64 -1/2 b) a) |
(/.f64 -1/2 (/.f64 a b)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 (*.f64 -1/2 b) a) |
(/.f64 -1/2 (/.f64 a b)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2)) b) (/.f64 1/2 a)) |
| ✓ | 0.3b | (-.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2)) b) |
| ✓ | 0.7b | (fma.f64 b b (*.f64 (*.f64 a c) -4)) |
| ✓ | 33.7b | (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 | |
|---|---|---|---|---|
| 2.0ms | a | @ | -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)) |
| 0.0ms | a | @ | -inf | (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2)) |
| 0.0ms | a | @ | inf | (-.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2)) b) |
| 0.0ms | c | @ | -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)) |
(fma.f64 b b (*.f64 (*.f64 a c) -4)) |
(-.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2)) b) |
(*.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 (*.f64 a (*.f64 c -4)) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 c (*.f64 a -4) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 b b) 1) (*.f64 a (*.f64 c -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))) (cbrt.f64 (exp.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 c (*.f64 a -4) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) (*.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 2) (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (*.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/4) (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (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 (+.f64 (pow.f64 (*.f64 b b) 3) (pow.f64 (*.f64 a (*.f64 c -4)) 3)) (fma.f64 (*.f64 b b) (*.f64 b b) (-.f64 (*.f64 16 (pow.f64 (*.f64 a c) 2)) (*.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 16 (pow.f64 (*.f64 a c) 2))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 a) c) -4) (exp.f64 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a (*.f64 c -4)))) (exp.f64 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 b b)) (+.f64 1 (expm1.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 1)))))) |
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| 1× | egg-herbie |
| 978× | times-frac_binary64 |
| 978× | fma-def_binary64 |
| 643× | associate-/l*_binary64 |
| 575× | 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 -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 (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 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 c (/.f64 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 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c 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 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))))) |
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c c))) (*.f64 (/.f64 -4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (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 c (/.f64 b a)) (neg.f64 b)) |
(-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b) |
(-.f64 (*.f64 (/.f64 (*.f64 2 c) 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 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)))) b) |
(-.f64 (*.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c 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) (fma.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (neg.f64 b)))) |
(fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (-.f64 (*.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c 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 c (/.f64 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 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c 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 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))))) |
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c c))) (*.f64 (/.f64 -4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 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) |
(fma.f64 -2 (/.f64 c (/.f64 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 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c 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 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))))) |
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c c))) (*.f64 (/.f64 -4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 -4 c) a)) |
(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 -4 c) a)) |
(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 -4 c) a)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (neg.f64 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) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (neg.f64 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 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)))) |
(*.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c 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 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a))))) |
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c c))) (*.f64 (/.f64 -4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 -2 (*.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 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))))) |
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c c))) (*.f64 (/.f64 -4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) |
(*.f64 -2 b) |
(*.f64 b -2) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) |
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2)) |
(fma.f64 b -2 (/.f64 2 (/.f64 b (*.f64 c a)))) |
(fma.f64 b -2 (*.f64 (/.f64 (*.f64 2 c) 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 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 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))))) |
(fma.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c c))) (*.f64 b -2)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))) |
(fma.f64 2 (/.f64 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 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (*.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)))))) |
(+.f64 (fma.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c c))) (*.f64 b -2)) (*.f64 (/.f64 4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) |
(*.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 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)))) |
(*.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c 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 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a))))) |
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(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
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(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
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(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 (/.f64 c (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 -1/4 (/.f64 (*.f64 (pow.f64 c 4) (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))) (*.f64 a 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) a) (/.f64 (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 a 4) (pow.f64 b 6)))) b)) (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (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 (pow.f64 c 4) a) (/.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) b)) (-.f64 (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))) |
Compiled 13212 to 8230 computations (37.7% saved)
38 alts after pruning (35 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 589 | 26 | 615 |
| Fresh | 9 | 9 | 18 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 3 | 5 |
| Total | 601 | 38 | 639 |
| Status | Error | Program |
|---|---|---|
| 51.3b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 b b))) (*.f64 2 a)) | |
| ✓ | 34.4b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| 43.9b | (*.f64 (*.f64 -2 (*.f64 c (/.f64 1 (/.f64 b a)))) (/.f64 1/2 a)) | |
| ▶ | 46.2b | (*.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) |
| 44.1b | (*.f64 (-.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))) 3/2)) b) (/.f64 1/2 a)) | |
| 46.1b | (*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a)) | |
| ▶ | 51.8b | (/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a)) |
| 53.3b | (pow.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a) 3) 1/3) | |
| 45.0b | (/.f64 (*.f64 (/.f64 1/2 a) (-.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (*.f64 b b))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) | |
| 45.0b | (/.f64 (+.f64 (neg.f64 b) (*.f64 (cbrt.f64 (*.f64 (*.f64 c -4) a)) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))))) (*.f64 2 a)) | |
| 43.9b | (*.f64 (/.f64 (*.f64 c -2) (/.f64 b a)) (/.f64 1/2 a)) | |
| ▶ | 36.2b | (*.f64 (fma.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) (neg.f64 b)) (/.f64 1/2 a)) |
| ✓ | 44.8b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
| 42.1b | (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a) | |
| 47.7b | (*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a)) | |
| 56.3b | (*.f64 (-.f64 b b) (/.f64 1/2 a)) | |
| ▶ | 42.4b | (/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 c b) a) -1))) |
| 46.9b | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| 41.5b | (/.f64 (*.f64 (/.f64 1/2 a) (*.f64 (*.f64 -2 c) a)) b) | |
| 43.2b | (/.f64 (/.f64 (*.f64 (*.f64 -2 c) a) b) (*.f64 a 2)) | |
| ▶ | 37.5b | (/.f64 (neg.f64 c) b) |
| 46.7b | (*.f64 (*.f64 b -2) (/.f64 1/2 a)) | |
| 50.2b | (exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a))) 1/3)) | |
| 46.0b | (*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) | |
| ✓ | 46.6b | (/.f64 (neg.f64 b) a) |
| 50.0b | (*.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 3/2)) b) (/.f64 1/2 a)) | |
| 44.9b | (/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)) (*.f64 2 a)) | |
| 43.2b | (*.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (/.f64 1/2 a)) | |
| 43.4b | (expm1.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a))) | |
| 47.1b | (*.f64 (-.f64 (-.f64 (/.f64 (*.f64 c 2) (/.f64 b a)) b) b) (/.f64 1/2 a)) | |
| 59.5b | (*.f64 -1/2 (/.f64 b a)) | |
| 44.9b | (pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1) | |
| 39.3b | (+.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a))) | |
| 42.4b | (pow.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a)) 3) | |
| 45.1b | (/.f64 (+.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))) 3)) (*.f64 2 a)) | |
| 54.9b | (pow.f64 (sqrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))) 2) | |
| 42.1b | (*.f64 (*.f64 -2 (*.f64 a (*.f64 c (/.f64 1 b)))) (/.f64 1/2 a)) | |
| 44.9b | (*.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (/.f64 1 (*.f64 a -2))) |
Compiled 1175 to 847 computations (27.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (fma.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) (neg.f64 b)) (/.f64 1/2 a)) |
| 0.7b | (fma.f64 b b (*.f64 (*.f64 a c) -4)) | |
| ✓ | 21.8b | (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) |
| ✓ | 24.6b | (fma.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) (neg.f64 b)) |
Compiled 90 to 45 computations (50% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | a | @ | inf | (*.f64 (fma.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) (neg.f64 b)) (/.f64 1/2 a)) |
| 9.0ms | a | @ | inf | (fma.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) (neg.f64 b)) |
| 9.0ms | c | @ | inf | (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) |
| 6.0ms | a | @ | 0 | (fma.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) (neg.f64 b)) |
| 6.0ms | c | @ | 0 | (fma.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) (neg.f64 b)) |
| 1× | batch-egg-rewrite |
| 673× | log-prod_binary64 |
| 362× | pow2_binary64 |
| 329× | prod-diff_binary64 |
| 259× | pow-unpow_binary64 |
| 253× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 86 |
| 1 | 317 | 50 |
| 2 | 3765 | 50 |
| 1× | node limit |
| Inputs |
|---|
(fma.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) (neg.f64 b)) |
(pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) |
(*.f64 (fma.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) (neg.f64 b)) (/.f64 1/2 a)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (fma.f64 -1 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (fma.f64 1 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (fma.f64 b 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) b))))) (#(struct:change #<rule egg-rr> 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(sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 1/2 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 a) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (*.f64 (/.f64 1/2 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 1/2 a) (*.f64 b (/.f64 1/2 a))))))) |
| 1× | egg-herbie |
| 862× | fma-def_binary64 |
| 632× | associate-*r*_binary64 |
| 474× | associate-*l*_binary64 |
| 424× | times-frac_binary64 |
| 393× | associate-/l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 675 | 8627 |
| 1 | 2400 | 7575 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 (pow.f64 b 4) (+.f64 (*.f64 1/256 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -4))) (*.f64 -3/256 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -4)))))))) |
(*.f64 -1 b) |
(+.f64 b (*.f64 -1 b)) |
(+.f64 b (+.f64 (*.f64 -1 b) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 b (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1 b) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))) |
(*.f64 -1 b) |
(*.f64 2 (*.f64 -1 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (*.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 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 2 (*.f64 -1 b))))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) b))) (pow.f64 a 2)) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) b))) (pow.f64 a 2)) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (*.f64 -16/3 (/.f64 (pow.f64 c 3) (pow.f64 b 6))))) b)) (*.f64 -2 (/.f64 (*.f64 c (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))))) b))) (pow.f64 a 3)) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) b))) (pow.f64 a 2)) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (*.f64 -16/3 (/.f64 (pow.f64 c 3) (pow.f64 b 6))))) b)) (*.f64 -2 (/.f64 (*.f64 c (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))))) b))) (pow.f64 a 3)) (+.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 (pow.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) 2) b) (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/24 (/.f64 (pow.f64 c 4) (pow.f64 b 8))) (+.f64 (*.f64 2 (/.f64 (pow.f64 c 4) (pow.f64 b 8))) (+.f64 (*.f64 -16 (/.f64 (pow.f64 c 4) (pow.f64 b 8))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 c 4) (pow.f64 b 8))) (*.f64 16/3 (/.f64 (pow.f64 c 4) (pow.f64 b 8))))))) b)) (*.f64 -2 (/.f64 (*.f64 c (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (*.f64 -16/3 (/.f64 (pow.f64 c 3) (pow.f64 b 6)))))) b))))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b) |
(-.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (pow.f64 b 2)) (*.f64 c a)))) b) |
(-.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2))) (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2))))))) b) |
(-.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (+.f64 (*.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (*.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (*.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))) (pow.f64 a 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (*.f64 (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 b 2))) (*.f64 c (pow.f64 a 3)))) (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2))))))))) b) |
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b) |
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(*.f64 -2 (/.f64 (*.f64 c a) b)) |
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(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b) |
(-.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a)))) b) |
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(-.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2))) (*.f64 (pow.f64 c 3) a))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) (pow.f64 c 3))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a)))))))) b) |
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) b) |
(-.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) b) |
(-.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))) b) |
(-.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.f64 (*.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))))) (*.f64 1/8 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2))) a))) (pow.f64 c 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))))) b) |
(pow.f64 (*.f64 -4 (*.f64 c a)) 1/4) |
(+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4)) |
(+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (*.f64 -3/512 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4))) |
(+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (*.f64 -3/512 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (+.f64 (*.f64 -7/8192 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6))) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4)))) |
(sqrt.f64 b) |
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(*.f64 (sqrt.f64 -1) (sqrt.f64 b)) |
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(*.f64 (pow.f64 1 1/4) (sqrt.f64 b)) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 c a) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 c a) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (*.f64 (pow.f64 1 1/4) (*.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 a 2)) (sqrt.f64 b))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))) |
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(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
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(+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b) a)) (*.f64 -1/16 (/.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)))))) 2)) (*.f64 c (pow.f64 a 2))))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b) a)) (+.f64 (*.f64 -1/16 (/.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)))))) 2)) (*.f64 c (pow.f64 a 2)))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b 4)) (pow.f64 c 2)))) (pow.f64 a 3))))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b) a)) (+.f64 (*.f64 -1/16 (/.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)))))) 2)) (*.f64 c (pow.f64 a 2)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b 4)) (pow.f64 c 2)))) (pow.f64 a 3))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (*.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)))))) 2))) c)) (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (*.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (*.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (*.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))))) (pow.f64 a 4)))))) |
(*.f64 -1 (/.f64 c b)) |
(+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 1/2 (*.f64 (pow.f64 c 2) (+.f64 (/.f64 a (pow.f64 b 3)) (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))) b) a)))))) |
(+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 c 3) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))) b)) (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (*.f64 -16/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6))))) b) a))))) (*.f64 1/2 (*.f64 (pow.f64 c 2) (+.f64 (/.f64 a (pow.f64 b 3)) (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))) b) a))))))) |
(+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 c 4) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))) 2) b) a) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (*.f64 -16/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6))))) b)) (*.f64 2 (/.f64 (*.f64 b (+.f64 (*.f64 2 (/.f64 (pow.f64 a 4) (pow.f64 b 8))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 8))) (+.f64 (*.f64 16/3 (/.f64 (pow.f64 a 4) (pow.f64 b 8))) (+.f64 (*.f64 -16 (/.f64 (pow.f64 a 4) (pow.f64 b 8))) (*.f64 1/24 (/.f64 (pow.f64 a 4) (pow.f64 b 8)))))))) a)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 c 3) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))) b)) (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (*.f64 -16/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6))))) b) a))))) (*.f64 1/2 (*.f64 (pow.f64 c 2) (+.f64 (/.f64 a (pow.f64 b 3)) (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))) b) a)))))))) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b) a)) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b) a)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2)) (*.f64 c (pow.f64 a 2))))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 4)) (pow.f64 a 3))) (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) a))) (pow.f64 c 2))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b) a)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2)) (*.f64 c (pow.f64 a 2)))))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 4)) (pow.f64 a 3))) (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) a))) (pow.f64 c 2))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b) a)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2)) (*.f64 c (pow.f64 a 2)))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2))) (pow.f64 a 2))) (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) a))) (pow.f64 c 3)))))) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) b) a)) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) b) a)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c (pow.f64 a 2))))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) b) a)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (pow.f64 a 3))) (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) a))) (pow.f64 c 2))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c (pow.f64 a 2)))))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) b) a)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2))) (pow.f64 a 2))) (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.f64 (*.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3)))))) a))) (pow.f64 c 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (pow.f64 a 3))) (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) a))) (pow.f64 c 2))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c (pow.f64 a 2))))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b)) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -4) (*.f64 b b))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))) |
(-.f64 (fma.f64 -1/8 (*.f64 (sqrt.f64 -4) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 1 (*.f64 c a))))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 (pow.f64 b 4) (+.f64 (*.f64 1/256 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -4))) (*.f64 -3/256 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -4)))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -4) (*.f64 b b))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 (pow.f64 b 4) (*.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) -1/128))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 -4) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 1 (*.f64 c a))))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (sqrt.f64 -4) -1/128)) (neg.f64 b)))) |
(*.f64 -1 b) |
(neg.f64 b) |
(+.f64 b (*.f64 -1 b)) |
(*.f64 0 b) |
0 |
(+.f64 b (+.f64 (*.f64 -1 b) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 0 b) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 0 (/.f64 -2 (/.f64 b (*.f64 c a)))) |
(+.f64 b (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1 b) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))) |
(+.f64 b (fma.f64 2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -1 b (fma.f64 -4 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (*.f64 -2 (/.f64 (*.f64 c a) b)))))) |
(+.f64 b (fma.f64 2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (-.f64 (fma.f64 -4 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (/.f64 -2 (/.f64 b (*.f64 c a)))) b))) |
(*.f64 -1 b) |
(neg.f64 b) |
(*.f64 2 (*.f64 -1 b)) |
(*.f64 -2 b) |
(*.f64 b -2) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (*.f64 -1 b))) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (*.f64 -2 b)) |
(*.f64 2 (-.f64 (*.f64 (/.f64 c 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 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 2 (*.f64 -1 b))))) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 4 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (*.f64 -2 b)))) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (+.f64 (*.f64 2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a))) (*.f64 b -2))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) b))) (pow.f64 a 2)) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(fma.f64 (+.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 2 (*.f64 b (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 4)) -3/2)))) (*.f64 a a) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(fma.f64 (*.f64 a a) (fma.f64 2 (*.f64 b (/.f64 (*.f64 (*.f64 c c) -3/2) (pow.f64 b 4))) (/.f64 c (/.f64 (pow.f64 b 3) c))) (/.f64 -2 (/.f64 b (*.f64 c a)))) |
(+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) b))) (pow.f64 a 2)) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (*.f64 -16/3 (/.f64 (pow.f64 c 3) (pow.f64 b 6))))) b)) (*.f64 -2 (/.f64 (*.f64 c (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))))) b))) (pow.f64 a 3)) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 (+.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 2 (*.f64 b (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 4)) -3/2)))) (*.f64 a a) (fma.f64 (fma.f64 2 (*.f64 b (fma.f64 -1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 6)) -10/3))) (*.f64 -2 (/.f64 c (/.f64 b (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 4)) -3/2))))) (pow.f64 a 3) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
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(pow.f64 (*.f64 -4 (*.f64 c a)) 1/4) |
(pow.f64 (*.f64 (*.f64 c -4) a) 1/4) |
(pow.f64 (*.f64 c (*.f64 a -4)) 1/4) |
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(sqrt.f64 b) |
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(*.f64 (pow.f64 1 1/4) (sqrt.f64 b)) |
(sqrt.f64 b) |
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(*.f64 0 b) |
0 |
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(fma.f64 1/2 (/.f64 (fma.f64 1/256 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (/.f64 (pow.f64 a 3) (pow.f64 b 4))) (/.f64 (*.f64 2 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512))) a)) (*.f64 c c)) (fma.f64 1/2 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) 2) b) a) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) 2) c) (/.f64 (*.f64 b b) (*.f64 a a))) (*.f64 1/2 (/.f64 (fma.f64 -1/8 (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) 2)))) (*.f64 2 (/.f64 (fma.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) -11/8192)) (/.f64 a (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) 2))))) (pow.f64 c 3)))))) |
(fma.f64 1/2 (/.f64 (fma.f64 2 (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) a) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (log.f64 c))) 2)) (/.f64 (*.f64 (*.f64 1/256 (pow.f64 b 4)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (log.f64 c))) 2)) (pow.f64 a 3))) (*.f64 c c)) (fma.f64 1/2 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (log.f64 c))) 2) b) a) (fma.f64 1/2 (/.f64 (fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (log.f64 c))) 2) (/.f64 a (*.f64 b b))) (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) a)) (*.f64 2 (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) -7/8192) a) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (log.f64 c))) 2)))) (pow.f64 c 3)) (/.f64 (*.f64 (*.f64 -1/16 (*.f64 b b)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (log.f64 c))) 2)) (*.f64 c (*.f64 a a)))))) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) b) a)) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) b) a)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c (pow.f64 a 2))))) |
(fma.f64 1/2 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) b) a) (*.f64 -1/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))))) |
(fma.f64 1/2 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) b) a) (*.f64 -1/16 (/.f64 (*.f64 b b) (/.f64 (*.f64 c (*.f64 a a)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2))))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) b) a)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (pow.f64 a 3))) (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) a))) (pow.f64 c 2))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c (pow.f64 a 2)))))) |
(fma.f64 1/2 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) b) a) (fma.f64 1/2 (/.f64 (fma.f64 1/256 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (/.f64 (pow.f64 a 3) (pow.f64 b 4))) (*.f64 2 (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (/.f64 a (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))))) (*.f64 c c)) (*.f64 -1/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b)))))) |
(fma.f64 1/2 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) b) a) (fma.f64 1/2 (/.f64 (fma.f64 2 (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) a) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2)) (*.f64 1/256 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) (/.f64 (pow.f64 a 3) (pow.f64 b 4))))) (*.f64 c c)) (*.f64 -1/16 (/.f64 (*.f64 b b) (/.f64 (*.f64 c (*.f64 a a)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2)))))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) b) a)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2))) (pow.f64 a 2))) (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.f64 (*.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3)))))) a))) (pow.f64 c 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (pow.f64 a 3))) (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) a))) (pow.f64 c 2))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c (pow.f64 a 2))))))) |
(fma.f64 1/2 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) b) a) (fma.f64 -1/2 (/.f64 (fma.f64 1/8 (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (*.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))))) 2))) (*.f64 a a)) (*.f64 2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (/.f64 a (fma.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) 5/6144)))))) (pow.f64 c 3)) (fma.f64 1/2 (/.f64 (fma.f64 1/256 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (/.f64 (pow.f64 a 3) (pow.f64 b 4))) (*.f64 2 (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (/.f64 a (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))))) (*.f64 c c)) (*.f64 -1/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))))))) |
(fma.f64 1/2 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) b) a) (fma.f64 -1/2 (/.f64 (fma.f64 2 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) a) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) 7/8192)) (*.f64 (/.f64 1/8 a) (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) a) (*.f64 b (*.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2)))))) (pow.f64 c 3)) (fma.f64 1/2 (/.f64 (fma.f64 2 (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) a) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2)) (*.f64 1/256 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) (/.f64 (pow.f64 a 3) (pow.f64 b 4))))) (*.f64 c c)) (*.f64 -1/16 (/.f64 (*.f64 b b) (/.f64 (*.f64 c (*.f64 a a)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2))))))) |
Compiled 11 to 5 computations (54.5% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.8b | (/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 c b) a) -1))) |
| ✓ | 5.7b | (*.f64 (/.f64 c b) a) |
| ✓ | 12.0b | (/.f64 a (*.f64 (*.f64 (/.f64 c b) a) -1)) |
Compiled 43 to 17 computations (60.5% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | c | @ | -inf | (/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 c b) a) -1))) |
| 1.0ms | a | @ | 0 | (/.f64 a (*.f64 (*.f64 (/.f64 c b) a) -1)) |
| 1.0ms | b | @ | 0 | (/.f64 a (*.f64 (*.f64 (/.f64 c b) a) -1)) |
| 1.0ms | c | @ | 0 | (/.f64 a (*.f64 (*.f64 (/.f64 c b) a) -1)) |
| 1.0ms | b | @ | inf | (/.f64 a (*.f64 (*.f64 (/.f64 c b) a) -1)) |
| 1× | batch-egg-rewrite |
| 582× | log-prod_binary64 |
| 321× | pow-prod-down_binary64 |
| 314× | pow-unpow_binary64 |
| 261× | pow2_binary64 |
| 185× | pow1/3_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 36 |
| 1 | 230 | 27 |
| 2 | 3315 | 15 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 a (*.f64 (*.f64 (/.f64 c b) a) -1)) |
(*.f64 (/.f64 c b) a) |
(/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 c b) a) -1))) |
| Outputs |
|---|
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((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 a (/.f64 b c))) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (/.f64 a (/.f64 b c))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 a (/.f64 b c))) (sqrt.f64 a)) (/.f64 (sqrt.f64 (/.f64 a (/.f64 b c))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1/2) (/.f64 (/.f64 a (/.f64 b c)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 a (/.f64 b c)) 1) (/.f64 -1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 a)) (/.f64 a (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b c)) -2) (cbrt.f64 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 a) (/.f64 c b)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 a) -1) (/.f64 a (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 a) 1) (/.f64 a (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 a) (pow.f64 (cbrt.f64 (/.f64 a (/.f64 b c))) 2)) (cbrt.f64 (/.f64 a (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 a) (sqrt.f64 (/.f64 a (/.f64 b c)))) (sqrt.f64 (/.f64 a (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b c) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b c) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 c b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b c) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 c b) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 c b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b c)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 c b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b c)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 a (/.f64 b c)) 3) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 a (/.f64 b c))) (sqrt.f64 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 c (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b c) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 c b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 a (/.f64 b c)) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 b c)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 c b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 c b) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 c b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 c b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 b c)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 b c)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 c b)) 1) 1)))))) |
| 1× | egg-herbie |
| 46× | fma-def_binary64 |
| 20× | sub-neg_binary64 |
| 12× | fma-neg_binary64 |
| 11× | +-commutative_binary64 |
| 10× | div-sub_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 684 |
| 1 | 22 | 684 |
| 2 | 35 | 684 |
| 3 | 50 | 684 |
| 4 | 62 | 684 |
| 5 | 78 | 684 |
| 6 | 93 | 684 |
| 7 | 114 | 684 |
| 8 | 156 | 684 |
| 9 | 210 | 684 |
| 10 | 213 | 684 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(*.f64 -1 (/.f64 b c)) |
(/.f64 (*.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)) |
| Outputs |
|---|
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(*.f64 -1 (/.f64 b c)) |
(neg.f64 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) |
| ✓ | 0.2b | (*.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) |
| ✓ | 11.8b | (sqrt.f64 (*.f64 (*.f64 c -4) a)) |
Compiled 45 to 29 computations (35.6% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | inf | (*.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) |
| 1.0ms | a | @ | -inf | (*.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) |
| 1.0ms | c | @ | inf | (*.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) |
| 1.0ms | b | @ | 0 | (*.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) |
| 1.0ms | c | @ | -inf | (*.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) |
| 1× | batch-egg-rewrite |
| 666× | log-prod_binary64 |
| 423× | fma-def_binary64 |
| 340× | pow2_binary64 |
| 252× | fma-neg_binary64 |
| 239× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 39 |
| 1 | 267 | 39 |
| 2 | 3666 | 39 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (*.f64 c -4) a)) |
(*.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) |
(+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (cbrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(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 c) (sqrt.f64 (*.f64 -4 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (*.f64 -4 a)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 -4 a))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) (/.f64 1/2 a)) (*.f64 (/.f64 1/2 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 a) b) (*.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) (/.f64 1/2 a)) 1) (*.f64 (*.f64 (/.f64 1/2 a) b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 a (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) (*.f64 a 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 1/2 (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2) (pow.f64 b 3)) (*.f64 (*.f64 a 2) (fma.f64 b (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 c (*.f64 -4 a)) (*.f64 b b)) (*.f64 (*.f64 a 2) (-.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/2 (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (+.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2) (pow.f64 b 3))) (*.f64 a (fma.f64 b (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (+.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2) (pow.f64 b 3))) (*.f64 (neg.f64 a) (fma.f64 b (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (-.f64 (*.f64 c (*.f64 -4 a)) (*.f64 b b))) (*.f64 a (-.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (-.f64 (*.f64 c (*.f64 -4 a)) (*.f64 b b))) (*.f64 (neg.f64 a) (-.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2) (pow.f64 b 3)) 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(sqrt.f64 (*.f64 c (*.f64 -4 a))) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 b (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (*.f64 c (*.f64 -4 a))) (+.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2) (pow.f64 b 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) (-.f64 (*.f64 c (*.f64 -4 a)) (*.f64 b b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 b) (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) 1 b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b 1 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (cbrt.f64 (*.f64 c (*.f64 -4 a))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 c (*.f64 -4 a))) b))))) |
| 1× | egg-herbie |
| 14× | fma-def_binary64 |
| 11× | *-commutative_binary64 |
| 3× | +-commutative_binary64 |
| 3× | associate-*r*_binary64 |
| 3× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 345 |
| 1 | 33 | 327 |
| 2 | 54 | 327 |
| 3 | 64 | 327 |
| 4 | 66 | 327 |
| 5 | 67 | 327 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 1/2 (/.f64 b a)) |
(*.f64 1/2 (/.f64 b a)) |
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a))) |
(*.f64 1/2 (/.f64 b a)) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a))) |
(*.f64 1/2 (/.f64 b a)) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a))) |
b |
b |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
b |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b) |
b |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 b a)) |
(/.f64 (*.f64 1/2 b) a) |
(*.f64 1/2 (/.f64 b a)) |
(/.f64 (*.f64 1/2 b) a) |
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a))) |
(*.f64 1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a))) |
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a))) |
(*.f64 1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a))) |
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a))) |
(*.f64 1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a))) |
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a))) |
(*.f64 1/2 (/.f64 b a)) |
(/.f64 (*.f64 1/2 b) a) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a))) |
(*.f64 1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a))) |
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a))) |
(*.f64 1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a))) |
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a))) |
(*.f64 1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a))) |
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a))) |
(*.f64 1/2 (/.f64 b a)) |
(/.f64 (*.f64 1/2 b) a) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a))) |
(*.f64 1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a))) |
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a))) |
(*.f64 1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a))) |
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a))) |
(*.f64 1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a))) |
(*.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a))) |
b |
b |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c))) |
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) b) |
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)) b) |
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) b) |
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)) b) |
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) b) |
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)) b) |
b |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) b) |
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)) b) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) b) |
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)) b) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) b) |
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)) b) |
b |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) b) |
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)) b) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) b) |
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)) b) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) b) |
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)) b) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a)) |
| ✓ | 0.1b | (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)) |
Compiled 53 to 31 computations (41.5% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | c | @ | -inf | (/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a)) |
| 1.0ms | c | @ | -inf | (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)) |
| 1.0ms | a | @ | 0 | (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)) |
| 0.0ms | a | @ | inf | (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)) |
| 0.0ms | c | @ | inf | (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)) |
| 1× | batch-egg-rewrite |
| 706× | log-prod_binary64 |
| 348× | pow2_binary64 |
| 328× | fma-def_binary64 |
| 258× | pow-unpow_binary64 |
| 243× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 29 |
| 1 | 303 | 27 |
| 2 | 4073 | 27 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)) |
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a)) |
| 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 pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 1)))) (#(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 (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))) 2)))) (#(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 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 (sqrt.f64 (*.f64 a (*.f64 -4 c)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (/.f64 1/2 a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (/.f64 1/2 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2))) 2) (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) 2) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2))) (sqrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (/.f64 1 (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) -2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) 2) a) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) a) (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) 2) (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) 2) 2) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) 1) (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 a a) 2))) (/.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) 2) (cbrt.f64 (pow.f64 (+.f64 a a) 2))) (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (cbrt.f64 (pow.f64 (+.f64 a a) 2))) (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) 2) (sqrt.f64 (+.f64 a a))) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) 3) (pow.f64 (+.f64 a a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c))))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) 3) (pow.f64 (+.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2))) 1)))))) |
| 1× | egg-herbie |
| 10× | fma-def_binary64 |
| 8× | *-commutative_binary64 |
| 3× | associate-*r*_binary64 |
| 3× | associate-*l*_binary64 |
| 2× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 231 |
| 1 | 24 | 231 |
| 2 | 39 | 231 |
| 3 | 49 | 231 |
| 4 | 51 | 231 |
| 5 | 52 | 231 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(*.f64 -1/2 (/.f64 b a)) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(*.f64 -1/2 (/.f64 b a)) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
| Outputs |
|---|
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a)) |
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a)) |
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a)) |
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b))) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 (*.f64 -1/2 b) a) |
(/.f64 -1/2 (/.f64 a b)) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a)) |
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a)) |
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a)) |
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b))) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 (*.f64 -1/2 b) a) |
(/.f64 -1/2 (/.f64 a b)) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a)) |
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a)) |
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a)) |
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b))) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 (*.f64 -1/2 b) a) |
(/.f64 -1/2 (/.f64 a b)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 (*.f64 -1/2 b) a) |
(/.f64 -1/2 (/.f64 a b)) |
Compiled 31863 to 21118 computations (33.7% saved)
45 alts after pruning (39 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 930 | 27 | 957 |
| Fresh | 18 | 12 | 30 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 5 | 7 |
| Total | 950 | 45 | 995 |
| Status | Error | Program |
|---|---|---|
| 56.9b | (/.f64 1 (/.f64 a (*.f64 (/.f64 1 (/.f64 (/.f64 b c) (neg.f64 a))) -1))) | |
| 51.3b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 b b))) (*.f64 2 a)) | |
| ✓ | 34.4b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| ▶ | 43.9b | (*.f64 (*.f64 -2 (*.f64 c (/.f64 1 (/.f64 b a)))) (/.f64 1/2 a)) |
| ✓ | 46.2b | (*.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) |
| 44.2b | (/.f64 1 (/.f64 a (*.f64 (/.f64 c (/.f64 b a)) -1))) | |
| 44.1b | (*.f64 (-.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))) 3/2)) b) (/.f64 1/2 a)) | |
| 42.4b | (/.f64 1 (*.f64 (/.f64 (/.f64 b c) (neg.f64 a)) a)) | |
| ✓ | 51.8b | (/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a)) |
| 42.4b | (pow.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a)) 3) | |
| 46.7b | (*.f64 (*.f64 b -2) (/.f64 1/2 a)) | |
| 44.9b | (*.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) -2) (/.f64 1 a)) | |
| 41.3b | (*.f64 (*.f64 (/.f64 1 a) (/.f64 c b)) (neg.f64 a)) | |
| 56.8b | (/.f64 1 (+.f64 0 (/.f64 b c))) | |
| 42.1b | (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a) | |
| ✓ | 44.8b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
| ▶ | 42.5b | (*.f64 (/.f64 1 (neg.f64 a)) (/.f64 a (/.f64 b c))) |
| 53.1b | (*.f64 (/.f64 1/2 a) (+.f64 (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)) b)) | |
| ▶ | 58.1b | (exp.f64 (log.f64 (/.f64 c b))) |
| 47.7b | (*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a)) | |
| 46.9b | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| 41.5b | (/.f64 (*.f64 (/.f64 1/2 a) (*.f64 (*.f64 -2 c) a)) b) | |
| 43.2b | (/.f64 (/.f64 (*.f64 (*.f64 -2 c) a) b) (*.f64 a 2)) | |
| ✓ | 37.5b | (/.f64 (neg.f64 c) b) |
| ▶ | 62.2b | (*.f64 (/.f64 1/2 a) b) |
| 44.1b | (/.f64 1 (/.f64 a (*.f64 (*.f64 c (/.f64 a b)) -1))) | |
| 52.3b | (*.f64 (/.f64 1/2 a) (+.f64 (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a))) b)) | |
| 56.8b | (pow.f64 (cbrt.f64 (/.f64 c b)) 3) | |
| 49.3b | (/.f64 (-.f64 (*.f64 c (*.f64 -4 a)) (*.f64 b b)) (*.f64 (*.f64 a 2) (-.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b))) | |
| 38.2b | (/.f64 1 (/.f64 (neg.f64 b) c)) | |
| 53.1b | (*.f64 (/.f64 1/2 a) (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) | |
| 52.0b | (*.f64 (/.f64 (/.f64 c b) (sqrt.f64 a)) (/.f64 (neg.f64 a) (sqrt.f64 a))) | |
| 43.4b | (expm1.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a))) | |
| 56.4b | (log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 c b))))) | |
| 46.1b | (/.f64 (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) (*.f64 a 2)) | |
| 43.2b | (*.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (/.f64 1/2 a)) | |
| 56.8b | (+.f64 0 (/.f64 c b)) | |
| 39.3b | (+.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a))) | |
| 46.2b | (/.f64 1/2 (/.f64 a (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b))) | |
| 56.8b | (*.f64 (/.f64 1 b) c) | |
| 46.4b | (/.f64 (*.f64 (/.f64 1/2 a) (-.f64 (*.f64 c (*.f64 -4 a)) (*.f64 b b))) (-.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) | |
| ✓ | 46.6b | (/.f64 (neg.f64 b) a) |
| ▶ | 36.2b | (*.f64 (fma.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))) 1/4) (neg.f64 b)) (/.f64 1/2 a)) |
| 42.1b | (*.f64 (*.f64 -2 (*.f64 a (*.f64 c (/.f64 1 b)))) (/.f64 1/2 a)) | |
| 56.8b | (/.f64 1 (*.f64 (/.f64 1 a) (/.f64 a (/.f64 c b)))) |
Compiled 1214 to 874 computations (28% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.7b | (fma.f64 b b (*.f64 (*.f64 a c) -4)) | |
| ✓ | 21.8b | (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))) 1/4) |
| 21.8b | (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) | |
| ✓ | 24.6b | (fma.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))) 1/4) (neg.f64 b)) |
Compiled 123 to 63 computations (48.8% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | -inf | (fma.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))) 1/4) (neg.f64 b)) |
| 1.0ms | a | @ | inf | (fma.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))) 1/4) (neg.f64 b)) |
| 1.0ms | a | @ | 0 | (fma.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))) 1/4) (neg.f64 b)) |
| 1.0ms | c | @ | inf | (fma.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))) 1/4) (neg.f64 b)) |
| 1.0ms | c | @ | -inf | (fma.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))) 1/4) (neg.f64 b)) |
| 1× | batch-egg-rewrite |
| 659× | log-prod_binary64 |
| 356× | fma-def_binary64 |
| 345× | pow2_binary64 |
| 267× | pow-unpow_binary64 |
| 239× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 47 |
| 1 | 372 | 29 |
| 2 | 3893 | 29 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))) 1/4) (neg.f64 b)) |
(pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))) 1/4) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) 0) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) 2) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) 3) (pow.f64 b 3)) (+.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) (-.f64 (*.f64 b b) (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 b) (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)) (cbrt.f64 (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 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/8) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/4) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) 2) 1/4) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) 1/4) (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/4 (log.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) 1)))))) |
| 1× | egg-herbie |
| 620× | fma-def_binary64 |
| 489× | associate-*r*_binary64 |
| 394× | *-commutative_binary64 |
| 361× | associate-*l*_binary64 |
| 326× | times-frac_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 502 | 5344 |
| 1 | 1811 | 4690 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 (pow.f64 b 4) (+.f64 (*.f64 1/256 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -4))) (*.f64 -3/256 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -4)))))))) |
(*.f64 -1 b) |
(+.f64 b (*.f64 -1 b)) |
(+.f64 b (+.f64 (*.f64 -1 b) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 b (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1 b) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))) |
(*.f64 -1 b) |
(*.f64 2 (*.f64 -1 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (*.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 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 2 (*.f64 -1 b))))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) b))) (pow.f64 a 2)) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) b))) (pow.f64 a 2)) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (*.f64 -16/3 (/.f64 (pow.f64 c 3) (pow.f64 b 6))))) b)) (*.f64 -2 (/.f64 (*.f64 c (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))))) b))) (pow.f64 a 3)) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
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(pow.f64 (*.f64 -4 (*.f64 c a)) 1/4) |
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(sqrt.f64 b) |
(+.f64 (sqrt.f64 b) (*.f64 -1 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (*.f64 -1 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 2 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 -16/3 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (*.f64 -1 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 b)) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (*.f64 (*.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 2 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 -16/3 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (sqrt.f64 (/.f64 1 (pow.f64 b 11)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b))))) |
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b)) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 c a) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 c a) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (*.f64 (pow.f64 1 1/4) (*.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 a 2)) (sqrt.f64 b))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 c a) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (*.f64 (pow.f64 1 1/4) (*.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (*.f64 -16/3 (/.f64 (pow.f64 c 3) (pow.f64 b 6)))))) (sqrt.f64 b))) (+.f64 (*.f64 (pow.f64 1 1/4) (*.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 a 2)) (sqrt.f64 b))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b))))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (pow.f64 b 2)) (*.f64 c a))) (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2)) (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (+.f64 (*.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (*.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (*.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))) (pow.f64 a 3))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))) (*.f64 c a)))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))) (pow.f64 a 2)) (+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))) (*.f64 c a))))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))) (pow.f64 a 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (*.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (*.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (*.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))) (pow.f64 a 3))) (+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))) (*.f64 c a)))))) |
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b)) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 c a) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 c a) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)) (*.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b))))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 c a) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (*.f64 (*.f64 (pow.f64 c 3) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (*.f64 -16/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b))) (+.f64 (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)) (*.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (*.f64 c a))) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 3)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)) (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)))))) |
(+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (*.f64 -1/16 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a)))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 2)) (+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (*.f64 -1/16 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (+.f64 (*.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3)))))) (pow.f64 c 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 2)) (+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (*.f64 -1/16 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.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 b)) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b)) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -4) (*.f64 b b))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 -4) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 1 (*.f64 c a))))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 (pow.f64 b 4) (+.f64 (*.f64 1/256 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -4))) (*.f64 -3/256 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -4)))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -4) (*.f64 b b))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 (pow.f64 b 4) (*.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) -1/128))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 -4) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 1 (*.f64 c a))))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (sqrt.f64 -4) -1/128)) (neg.f64 b)))) |
(*.f64 -1 b) |
(neg.f64 b) |
(+.f64 b (*.f64 -1 b)) |
(*.f64 0 b) |
0 |
(+.f64 b (+.f64 (*.f64 -1 b) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 0 b) (*.f64 -2 (/.f64 c (/.f64 b a)))) |
(+.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) 0) |
(+.f64 b (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1 b) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))) |
(+.f64 b (fma.f64 2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -1 b (fma.f64 -4 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 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)) (-.f64 (fma.f64 -4 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (/.f64 -2 (/.f64 b (*.f64 c a)))) b))) |
(*.f64 -1 b) |
(neg.f64 b) |
(*.f64 2 (*.f64 -1 b)) |
(*.f64 -2 b) |
(*.f64 b -2) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (*.f64 -1 b))) |
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 -2 b)) |
(*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) |
(+.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 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 2 (*.f64 -1 b))))) |
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 4 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (*.f64 -2 b)))) |
(+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a))) (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(/.f64 -2 (/.f64 b (*.f64 c a))) |
(+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) b))) (pow.f64 a 2)) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(fma.f64 (+.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 2 (*.f64 b (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 4)) -3/2)))) (*.f64 a a) (*.f64 -2 (/.f64 c (/.f64 b a)))) |
(fma.f64 (*.f64 a a) (fma.f64 2 (*.f64 b (/.f64 (*.f64 (*.f64 c c) -3/2) (pow.f64 b 4))) (/.f64 (*.f64 c c) (pow.f64 b 3))) (/.f64 -2 (/.f64 b (*.f64 c a)))) |
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(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) b) |
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(pow.f64 (*.f64 -4 (*.f64 c a)) 1/4) |
(pow.f64 (*.f64 (*.f64 c -4) a) 1/4) |
(pow.f64 (*.f64 c (*.f64 a -4)) 1/4) |
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(fma.f64 -1/16 (*.f64 b (*.f64 b (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 3)) (pow.f64 a 3)) 1/4))) (fma.f64 -3/512 (*.f64 (pow.f64 b 4) (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4)) (fma.f64 -7/8192 (*.f64 (pow.f64 b 6) (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4)) (pow.f64 (*.f64 c (*.f64 a -4)) 1/4)))) |
(sqrt.f64 b) |
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(+.f64 (sqrt.f64 b) (neg.f64 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) |
(-.f64 (sqrt.f64 b) (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) |
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(sqrt.f64 b) |
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(+.f64 (sqrt.f64 b) (neg.f64 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) |
(-.f64 (sqrt.f64 b) (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 c a) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)) (*.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b))))) |
(fma.f64 -1 (*.f64 (*.f64 (*.f64 c a) 1) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) (*.f64 (+.f64 (*.f64 (*.f64 c c) (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 4)) -3/2)) 1) (*.f64 1 (sqrt.f64 b)))) |
(-.f64 (*.f64 (sqrt.f64 b) (fma.f64 (*.f64 c c) (/.f64 (*.f64 (*.f64 a a) -3/2) (pow.f64 b 4)) 1)) (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 c a) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (*.f64 (*.f64 (pow.f64 c 3) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (*.f64 -16/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b))) (+.f64 (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)) (*.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))))) |
(fma.f64 -1 (*.f64 (*.f64 (*.f64 c a) 1) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) (fma.f64 (*.f64 (pow.f64 c 3) (fma.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) -10/3))) (*.f64 1 (sqrt.f64 b)) (*.f64 (+.f64 (*.f64 (*.f64 c c) (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 4)) -3/2)) 1) (*.f64 1 (sqrt.f64 b))))) |
(-.f64 (*.f64 (sqrt.f64 b) (+.f64 (fma.f64 (*.f64 c c) (/.f64 (*.f64 (*.f64 a a) -3/2) (pow.f64 b 4)) 1) (*.f64 (pow.f64 c 3) (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) -7/2)))) (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (*.f64 c -4)))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (log.f64 c))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (*.f64 c a))) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))) |
(fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (*.f64 c -4)))) (/.f64 (*.f64 c a) (*.f64 b b))) (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (*.f64 c -4))))) |
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (log.f64 c))) (*.f64 c a)) (*.f64 b b)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (log.f64 c)))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))))) |
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) c) (/.f64 (*.f64 b b) a)) (+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (/.f64 (*.f64 c c) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))))))) |
(+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (log.f64 c))) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (log.f64 c))) (*.f64 c a)) (*.f64 b b)) (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 b 4) -3/512) (*.f64 a a)) (*.f64 c c)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (log.f64 c)))))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 3)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))))) |
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) c) (/.f64 (*.f64 b b) a)) (+.f64 (+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (/.f64 (*.f64 c c) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c)))))))) (/.f64 (fma.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) -11/8192)) (/.f64 (pow.f64 c 3) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))))))) |
(+.f64 (+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (log.f64 c))) (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 b 4) -3/512) (*.f64 a a)) (*.f64 c c)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (log.f64 c))))) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (log.f64 c))) (*.f64 c a)) (*.f64 b b)) (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) -7/8192) (pow.f64 c 3)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (log.f64 c)))))) |
(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 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) |
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) |
(+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (*.f64 -1/16 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a)))) |
(+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) (*.f64 -1/16 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) (/.f64 (*.f64 c a) (*.f64 b b))))) |
(fma.f64 -1/16 (*.f64 (/.f64 (*.f64 b b) a) (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) c)) (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c))))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 2)) (+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (*.f64 -1/16 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a))))) |
(+.f64 (+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) (*.f64 -1/16 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) (/.f64 (*.f64 c a) (*.f64 b b))))) (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (/.f64 (*.f64 c c) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c)))))))) |
(+.f64 (fma.f64 -1/16 (*.f64 (/.f64 (*.f64 b b) a) (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) c)) (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c))))) (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 b 4) -3/512) (*.f64 a a)) (*.f64 c c)) (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (+.f64 (*.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3)))))) (pow.f64 c 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 2)) (+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (*.f64 -1/16 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a)))))) |
(fma.f64 -1 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) (/.f64 (pow.f64 c 3) (fma.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) 5/6144)))) (+.f64 (+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) (*.f64 -1/16 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) (/.f64 (*.f64 c a) (*.f64 b b))))) (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (/.f64 (*.f64 c c) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))))))) |
(-.f64 (+.f64 (fma.f64 -1/16 (*.f64 (/.f64 (*.f64 b b) a) (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) c)) (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c))))) (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 b 4) -3/512) (*.f64 a a)) (*.f64 c c)) (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))))) (*.f64 (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) (pow.f64 c 3)) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) 7/8192))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (/.f64 1/2 a) b) |
Compiled 14 to 9 computations (35.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | 0 | (*.f64 (/.f64 1/2 a) b) |
| 1.0ms | a | @ | 0 | (*.f64 (/.f64 1/2 a) b) |
| 1.0ms | b | @ | inf | (*.f64 (/.f64 1/2 a) b) |
| 1.0ms | b | @ | -inf | (*.f64 (/.f64 1/2 a) b) |
| 1.0ms | a | @ | inf | (*.f64 (/.f64 1/2 a) b) |
| 1× | batch-egg-rewrite |
| 617× | pow1_binary64 |
| 573× | add-log-exp_binary64 |
| 573× | log1p-expm1-u_binary64 |
| 573× | expm1-log1p-u_binary64 |
| 562× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 128 | 7 |
| 2 | 1560 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1/2 a) b) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/2 (/.f64 b a))) 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 (neg.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) (pow.f64 (cbrt.f64 a) 2)) (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 -1/2 b) (neg.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 1/2 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (/.f64 b a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 b a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/2 (/.f64 b a)) 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 cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (/.f64 b a)))))))) |
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 2× | associate-/l*_binary64 |
| 1× | associate-*r/_binary64 |
| 1× | associate-*l/_binary64 |
| 1× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 168 |
| 1 | 9 | 168 |
| 2 | 13 | 168 |
| 3 | 17 | 168 |
| 4 | 18 | 168 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 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)) |
| Outputs |
|---|
(*.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)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 6.1b | (/.f64 a (/.f64 b c)) |
| ✓ | 12.3b | (*.f64 (/.f64 1 (neg.f64 a)) (/.f64 a (/.f64 b c))) |
Compiled 31 to 12 computations (61.3% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | -inf | (*.f64 (/.f64 1 (neg.f64 a)) (/.f64 a (/.f64 b c))) |
| 1.0ms | a | @ | 0 | (*.f64 (/.f64 1 (neg.f64 a)) (/.f64 a (/.f64 b c))) |
| 0.0ms | a | @ | inf | (*.f64 (/.f64 1 (neg.f64 a)) (/.f64 a (/.f64 b c))) |
| 0.0ms | b | @ | -inf | (*.f64 (/.f64 1 (neg.f64 a)) (/.f64 a (/.f64 b c))) |
| 0.0ms | b | @ | inf | (*.f64 (/.f64 1 (neg.f64 a)) (/.f64 a (/.f64 b c))) |
| 1× | batch-egg-rewrite |
| 570× | log-prod_binary64 |
| 349× | pow-prod-down_binary64 |
| 252× | pow2_binary64 |
| 246× | pow-unpow_binary64 |
| 193× | log-div_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 19 |
| 1 | 215 | 17 |
| 2 | 3276 | 11 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (neg.f64 a)) (/.f64 a (/.f64 b c))) |
(/.f64 a (/.f64 b c)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 c b))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 c b)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 c b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 a (/.f64 b (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 b (*.f64 a c)) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 b c) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 a (/.f64 b c)) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 c (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (*.f64 a (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 a) (/.f64 b (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (/.f64 a b)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 c (/.f64 a b))) 2) (/.f64 a (cbrt.f64 (*.f64 c (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 a) 2) (/.f64 (*.f64 a (/.f64 b c)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 c) 2) (/.f64 b (cbrt.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 c (/.f64 a b))) (/.f64 a (sqrt.f64 (*.f64 c (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 a) (/.f64 (*.f64 a (/.f64 b c)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 c) (/.f64 b (sqrt.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 a (/.f64 b (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 b (*.f64 a c)) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 c) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a b) (/.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 b) (/.f64 1 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 b c)) -2) (cbrt.f64 (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c (/.f64 a b)) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c (/.f64 a b)) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c (/.f64 a b)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c (/.f64 a b)) -1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 c (/.f64 a b))) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c (/.f64 a b)) -1) a)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b c) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b c) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b c) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 c b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b c)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 c b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b c)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 c b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 c (/.f64 a b)) 3) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (/.f64 b (*.f64 a c))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 b (*.f64 a c)) a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 c) (sqrt.f64 b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 b c) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a (/.f64 b c)) a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 c (/.f64 a b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b c) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 c b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 c (/.f64 a b)) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 c b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 c b))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 c b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 c b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 b c)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 c b)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 b c)) 1) -1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c (/.f64 a b)))))) (#(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 c (/.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (/.f64 b c)) (*.f64 c (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 c (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c (/.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 c (/.f64 a b))) (pow.f64 (cbrt.f64 (*.f64 c (/.f64 a b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 c (/.f64 a b))) 2) (cbrt.f64 (*.f64 c (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c (/.f64 a b))) (sqrt.f64 (*.f64 c (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 c b)) (/.f64 a (sqrt.f64 (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c b) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a b) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a b) (neg.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) b) (/.f64 (sqrt.f64 a) (/.f64 1 c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b) (/.f64 a (/.f64 1 c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) b) (/.f64 (cbrt.f64 a) (/.f64 1 c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b c)) -2) (/.f64 a (cbrt.f64 (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (pow.f64 (/.f64 b c) 2))) (cbrt.f64 (*.f64 c (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) (cbrt.f64 (pow.f64 (/.f64 b c) 2))) (/.f64 (sqrt.f64 a) (cbrt.f64 (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (/.f64 b c))) (/.f64 (cbrt.f64 a) (sqrt.f64 (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 a b) 1) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 a b) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 a b) (sqrt.f64 c)) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (/.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (/.f64 a b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (/.f64 a b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c (/.f64 a b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c (/.f64 a b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (*.f64 a c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 a 3) (pow.f64 (/.f64 b c) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 b (*.f64 a c)) 1) -1)))) (#(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 (pow.f64 (/.f64 c b) 3) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (/.f64 c b)) (cbrt.f64 a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 c (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 c (/.f64 a b)) 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 c (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 c (/.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c (/.f64 a b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (/.f64 b c) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c (/.f64 a b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 c (/.f64 a b)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 c (/.f64 a b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c (/.f64 a b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 b (*.f64 a c))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 c (/.f64 a b))) 1) 1)))))) |
| 1× | egg-herbie |
| 32× | fma-def_binary64 |
| 9× | sub-neg_binary64 |
| 8× | fma-neg_binary64 |
| 6× | *-commutative_binary64 |
| 6× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 468 |
| 1 | 16 | 468 |
| 2 | 25 | 468 |
| 3 | 34 | 468 |
| 4 | 41 | 468 |
| 5 | 49 | 468 |
| 6 | 57 | 468 |
| 7 | 71 | 468 |
| 8 | 100 | 468 |
| 9 | 133 | 468 |
| 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 (*.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) |
| 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 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 -2 (*.f64 c (/.f64 1 (/.f64 b a)))) |
| ✓ | 0.3b | (/.f64 1 (/.f64 b a)) |
| ✓ | 3.3b | (*.f64 c (/.f64 1 (/.f64 b a))) |
| ✓ | 12.2b | (*.f64 (*.f64 -2 (*.f64 c (/.f64 1 (/.f64 b a)))) (/.f64 1/2 a)) |
Compiled 49 to 27 computations (44.9% saved)
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | b | @ | -inf | (/.f64 1 (/.f64 b a)) |
| 0.0ms | a | @ | 0 | (/.f64 1 (/.f64 b a)) |
| 0.0ms | a | @ | -inf | (/.f64 1 (/.f64 b a)) |
| 0.0ms | a | @ | inf | (/.f64 1 (/.f64 b a)) |
| 0.0ms | b | @ | 0 | (/.f64 1 (/.f64 b a)) |
| 1× | batch-egg-rewrite |
| 714× | log-prod_binary64 |
| 352× | pow-unpow_binary64 |
| 339× | pow2_binary64 |
| 241× | pow1/3_binary64 |
| 236× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 40 |
| 1 | 280 | 34 |
| 2 | 3573 | 34 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 -2 (*.f64 c (/.f64 1 (/.f64 b a)))) (/.f64 1/2 a)) |
(*.f64 c (/.f64 1 (/.f64 b a))) |
(/.f64 1 (/.f64 b a)) |
(*.f64 -2 (*.f64 c (/.f64 1 (/.f64 b a)))) |
| Outputs |
|---|
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((#(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 (exp.f64 (*.f64 (/.f64 c b) a))) 2)) (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 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 b a) c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 c c)) (/.f64 (/.f64 b a) (cbrt.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 c) (/.f64 (/.f64 b a) (sqrt.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 c) (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c (sqrt.f64 (/.f64 b a))) (sqrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c 1) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c b) (pow.f64 a -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c (cbrt.f64 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 c) (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c -1) (/.f64 (neg.f64 b) a))))) (#(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) 2) 1/2)))) (#(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 c 3) (pow.f64 (/.f64 b a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 c 3) (pow.f64 (/.f64 b a) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 b a) -3) (pow.f64 c 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 b a) c) -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 (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 c 3) (pow.f64 (/.f64 b a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 (/.f64 b a) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 b a) -3) (pow.f64 c 3)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 a b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 a b))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 a b)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 a b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (pow.f64 b -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 a b)) (cbrt.f64 (pow.f64 (/.f64 b a) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 b a) -2)) (cbrt.f64 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 a b)) (sqrt.f64 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b -1) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 a a)) 1) (/.f64 (cbrt.f64 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) -2) (/.f64 a (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 a a)) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (cbrt.f64 a) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b -1/2) (/.f64 a (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 a a)) (sqrt.f64 b)) (/.f64 (cbrt.f64 a) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) (sqrt.f64 b)) (/.f64 (sqrt.f64 a) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) -2) (cbrt.f64 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 b)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 b -1) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 b -1) (cbrt.f64 (*.f64 a a))) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 b -1) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 a b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b a)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 a b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b a)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (/.f64 (neg.f64 b) a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 a) (sqrt.f64 b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b a) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b a) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 b a)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 a b)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 (/.f64 c b) a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 (/.f64 c b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (*.f64 (/.f64 c b) a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (*.f64 (/.f64 c b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2 (*.f64 (/.f64 c b) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 c) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -2 c) 1) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -2 c) -1) (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (*.f64 (/.f64 c b) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (pow.f64 (*.f64 (/.f64 c b) a) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2 (*.f64 (/.f64 c b) a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (*.f64 (/.f64 c b) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -2 (*.f64 (/.f64 c b) a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (*.f64 (/.f64 c b) a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (*.f64 (/.f64 c b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (*.f64 (/.f64 c b) a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (*.f64 (/.f64 c b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (*.f64 (/.f64 c b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (*.f64 (/.f64 c b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2 (*.f64 (/.f64 c b) a))) 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 | 12 | 924 |
| 1 | 22 | 924 |
| 2 | 42 | 924 |
| 3 | 73 | 924 |
| 4 | 109 | 924 |
| 5 | 128 | 924 |
| 6 | 136 | 924 |
| 7 | 157 | 924 |
| 8 | 243 | 924 |
| 9 | 343 | 924 |
| 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 (*.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 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 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)) |
(*.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 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(*.f64 (/.f64 -2 b) (*.f64 c a)) |
(*.f64 (*.f64 c a) (/.f64 -2 b)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 2.3b | (exp.f64 (log.f64 (/.f64 c b))) |
| ✓ | 10.8b | (log.f64 (/.f64 c b)) |
Compiled 17 to 6 computations (64.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 68.0ms | c | @ | 0 | (log.f64 (/.f64 c b)) |
| 34.0ms | c | @ | -inf | (log.f64 (/.f64 c b)) |
| 28.0ms | c | @ | inf | (log.f64 (/.f64 c b)) |
| 17.0ms | b | @ | 0 | (log.f64 (/.f64 c b)) |
| 12.0ms | b | @ | -inf | (log.f64 (/.f64 c b)) |
| 1× | batch-egg-rewrite |
| 537× | pow1_binary64 |
| 512× | add-sqr-sqrt_binary64 |
| 496× | add-log-exp_binary64 |
| 496× | log1p-expm1-u_binary64 |
| 496× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 10 |
| 1 | 109 | 10 |
| 2 | 1324 | 10 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (/.f64 c b)) |
(exp.f64 (log.f64 (/.f64 c b))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 c) (neg.f64 (log.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 c b)) 2)) (log.f64 (cbrt.f64 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 c b))) (log.f64 (sqrt.f64 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 c) (log.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (/.f64 c b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 c)) (log.f64 (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 c b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 c b))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 c b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 c b))) 2) (cbrt.f64 (log.f64 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 c b))) (sqrt.f64 (log.f64 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 c) 3) (pow.f64 (log.f64 b) 3)) (+.f64 (*.f64 (log.f64 c) (log.f64 c)) (+.f64 (*.f64 (log.f64 b) (log.f64 b)) (*.f64 (log.f64 c) (log.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 c) (log.f64 c)) (*.f64 (log.f64 b) (log.f64 b))) (+.f64 (log.f64 c) (log.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 c b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 c b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 c b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 c b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 c b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 c b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 c b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 c b)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 c b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 c b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (pow.f64 b -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 c b)) (pow.f64 (cbrt.f64 (/.f64 c b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 c b)) 2) (cbrt.f64 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 c) 2) (*.f64 (cbrt.f64 c) (pow.f64 b -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) (pow.f64 b -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 c) (/.f64 1 (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b -1) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) 1) (/.f64 (cbrt.f64 c) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) 1) (/.f64 (sqrt.f64 c) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 b) 2)) (/.f64 c (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 c) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 b)) (/.f64 c (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (sqrt.f64 b)) (/.f64 (cbrt.f64 c) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 b c) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 c) 2) (/.f64 b (cbrt.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 c) (/.f64 b (sqrt.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 c) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 c b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 c b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 c b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b c) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 c b)))) (sqrt.f64 (log.f64 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 c b))) 2)) (cbrt.f64 (log.f64 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 c (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 c b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 c b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 c b))))))) |
| 1× | egg-herbie |
| 1848× | fma-neg_binary64 |
| 1195× | distribute-rgt-in_binary64 |
| 702× | distribute-lft-in_binary64 |
| 434× | fma-def_binary64 |
| 298× | distribute-neg-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 348 |
| 1 | 48 | 308 |
| 2 | 93 | 308 |
| 3 | 226 | 308 |
| 4 | 526 | 308 |
| 5 | 1013 | 308 |
| 6 | 2095 | 308 |
| 7 | 2699 | 308 |
| 8 | 3324 | 308 |
| 9 | 3745 | 308 |
| 10 | 3956 | 308 |
| 11 | 3988 | 308 |
| 12 | 5462 | 308 |
| 13 | 5466 | 308 |
| 14 | 5546 | 308 |
| 15 | 5766 | 308 |
| 16 | 7821 | 308 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (log.f64 c) (log.f64 (/.f64 1 b))) |
(+.f64 (log.f64 c) (log.f64 (/.f64 1 b))) |
(+.f64 (log.f64 c) (log.f64 (/.f64 1 b))) |
(+.f64 (log.f64 c) (log.f64 (/.f64 1 b))) |
(+.f64 (log.f64 (/.f64 1 b)) (*.f64 -1 (log.f64 (/.f64 1 c)))) |
(+.f64 (log.f64 (/.f64 1 b)) (*.f64 -1 (log.f64 (/.f64 1 c)))) |
(+.f64 (log.f64 (/.f64 1 b)) (*.f64 -1 (log.f64 (/.f64 1 c)))) |
(+.f64 (log.f64 (/.f64 1 b)) (*.f64 -1 (log.f64 (/.f64 1 c)))) |
(+.f64 (log.f64 (/.f64 -1 b)) (*.f64 -1 (log.f64 (/.f64 -1 c)))) |
(+.f64 (log.f64 (/.f64 -1 b)) (*.f64 -1 (log.f64 (/.f64 -1 c)))) |
(+.f64 (log.f64 (/.f64 -1 b)) (*.f64 -1 (log.f64 (/.f64 -1 c)))) |
(+.f64 (log.f64 (/.f64 -1 b)) (*.f64 -1 (log.f64 (/.f64 -1 c)))) |
(+.f64 (log.f64 c) (*.f64 -1 (log.f64 b))) |
(+.f64 (log.f64 c) (*.f64 -1 (log.f64 b))) |
(+.f64 (log.f64 c) (*.f64 -1 (log.f64 b))) |
(+.f64 (log.f64 c) (*.f64 -1 (log.f64 b))) |
(+.f64 (log.f64 c) (log.f64 (/.f64 1 b))) |
(+.f64 (log.f64 c) (log.f64 (/.f64 1 b))) |
(+.f64 (log.f64 c) (log.f64 (/.f64 1 b))) |
(+.f64 (log.f64 c) (log.f64 (/.f64 1 b))) |
(+.f64 (log.f64 (/.f64 -1 b)) (log.f64 (*.f64 -1 c))) |
(+.f64 (log.f64 (/.f64 -1 b)) (log.f64 (*.f64 -1 c))) |
(+.f64 (log.f64 (/.f64 -1 b)) (log.f64 (*.f64 -1 c))) |
(+.f64 (log.f64 (/.f64 -1 b)) (log.f64 (*.f64 -1 c))) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
| Outputs |
|---|
(+.f64 (log.f64 c) (log.f64 (/.f64 1 b))) |
(+.f64 (log.f64 c) (neg.f64 (log.f64 b))) |
(-.f64 (log.f64 c) (log.f64 b)) |
(+.f64 (log.f64 c) (log.f64 (/.f64 1 b))) |
(+.f64 (log.f64 c) (neg.f64 (log.f64 b))) |
(-.f64 (log.f64 c) (log.f64 b)) |
(+.f64 (log.f64 c) (log.f64 (/.f64 1 b))) |
(+.f64 (log.f64 c) (neg.f64 (log.f64 b))) |
(-.f64 (log.f64 c) (log.f64 b)) |
(+.f64 (log.f64 c) (log.f64 (/.f64 1 b))) |
(+.f64 (log.f64 c) (neg.f64 (log.f64 b))) |
(-.f64 (log.f64 c) (log.f64 b)) |
(+.f64 (log.f64 (/.f64 1 b)) (*.f64 -1 (log.f64 (/.f64 1 c)))) |
(+.f64 (log.f64 c) (neg.f64 (log.f64 b))) |
(-.f64 (log.f64 c) (log.f64 b)) |
(+.f64 (log.f64 (/.f64 1 b)) (*.f64 -1 (log.f64 (/.f64 1 c)))) |
(+.f64 (log.f64 c) (neg.f64 (log.f64 b))) |
(-.f64 (log.f64 c) (log.f64 b)) |
(+.f64 (log.f64 (/.f64 1 b)) (*.f64 -1 (log.f64 (/.f64 1 c)))) |
(+.f64 (log.f64 c) (neg.f64 (log.f64 b))) |
(-.f64 (log.f64 c) (log.f64 b)) |
(+.f64 (log.f64 (/.f64 1 b)) (*.f64 -1 (log.f64 (/.f64 1 c)))) |
(+.f64 (log.f64 c) (neg.f64 (log.f64 b))) |
(-.f64 (log.f64 c) (log.f64 b)) |
(+.f64 (log.f64 (/.f64 -1 b)) (*.f64 -1 (log.f64 (/.f64 -1 c)))) |
(+.f64 (log.f64 c) (neg.f64 (log.f64 b))) |
(-.f64 (log.f64 c) (log.f64 b)) |
(+.f64 (log.f64 (/.f64 -1 b)) (*.f64 -1 (log.f64 (/.f64 -1 c)))) |
(+.f64 (log.f64 c) (neg.f64 (log.f64 b))) |
(-.f64 (log.f64 c) (log.f64 b)) |
(+.f64 (log.f64 (/.f64 -1 b)) (*.f64 -1 (log.f64 (/.f64 -1 c)))) |
(+.f64 (log.f64 c) (neg.f64 (log.f64 b))) |
(-.f64 (log.f64 c) (log.f64 b)) |
(+.f64 (log.f64 (/.f64 -1 b)) (*.f64 -1 (log.f64 (/.f64 -1 c)))) |
(+.f64 (log.f64 c) (neg.f64 (log.f64 b))) |
(-.f64 (log.f64 c) (log.f64 b)) |
(+.f64 (log.f64 c) (*.f64 -1 (log.f64 b))) |
(+.f64 (log.f64 c) (neg.f64 (log.f64 b))) |
(-.f64 (log.f64 c) (log.f64 b)) |
(+.f64 (log.f64 c) (*.f64 -1 (log.f64 b))) |
(+.f64 (log.f64 c) (neg.f64 (log.f64 b))) |
(-.f64 (log.f64 c) (log.f64 b)) |
(+.f64 (log.f64 c) (*.f64 -1 (log.f64 b))) |
(+.f64 (log.f64 c) (neg.f64 (log.f64 b))) |
(-.f64 (log.f64 c) (log.f64 b)) |
(+.f64 (log.f64 c) (*.f64 -1 (log.f64 b))) |
(+.f64 (log.f64 c) (neg.f64 (log.f64 b))) |
(-.f64 (log.f64 c) (log.f64 b)) |
(+.f64 (log.f64 c) (log.f64 (/.f64 1 b))) |
(+.f64 (log.f64 c) (neg.f64 (log.f64 b))) |
(-.f64 (log.f64 c) (log.f64 b)) |
(+.f64 (log.f64 c) (log.f64 (/.f64 1 b))) |
(+.f64 (log.f64 c) (neg.f64 (log.f64 b))) |
(-.f64 (log.f64 c) (log.f64 b)) |
(+.f64 (log.f64 c) (log.f64 (/.f64 1 b))) |
(+.f64 (log.f64 c) (neg.f64 (log.f64 b))) |
(-.f64 (log.f64 c) (log.f64 b)) |
(+.f64 (log.f64 c) (log.f64 (/.f64 1 b))) |
(+.f64 (log.f64 c) (neg.f64 (log.f64 b))) |
(-.f64 (log.f64 c) (log.f64 b)) |
(+.f64 (log.f64 (/.f64 -1 b)) (log.f64 (*.f64 -1 c))) |
(+.f64 (log.f64 (/.f64 -1 b)) (log.f64 (neg.f64 c))) |
(+.f64 (log.f64 (/.f64 -1 b)) (log.f64 (*.f64 -1 c))) |
(+.f64 (log.f64 (/.f64 -1 b)) (log.f64 (neg.f64 c))) |
(+.f64 (log.f64 (/.f64 -1 b)) (log.f64 (*.f64 -1 c))) |
(+.f64 (log.f64 (/.f64 -1 b)) (log.f64 (neg.f64 c))) |
(+.f64 (log.f64 (/.f64 -1 b)) (log.f64 (*.f64 -1 c))) |
(+.f64 (log.f64 (/.f64 -1 b)) (log.f64 (neg.f64 c))) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
(/.f64 c b) |
Compiled 20555 to 13248 computations (35.5% saved)
46 alts after pruning (37 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 661 | 15 | 676 |
| Fresh | 12 | 22 | 34 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 8 | 10 |
| Total | 675 | 46 | 721 |
| Status | Error | Program |
|---|---|---|
| 51.3b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 b b))) (*.f64 2 a)) | |
| 56.9b | (/.f64 (/.f64 1 a) (/.f64 b (*.f64 a c))) | |
| ✓ | 34.4b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| ✓ | 43.9b | (*.f64 (*.f64 -2 (*.f64 c (/.f64 1 (/.f64 b a)))) (/.f64 1/2 a)) |
| 42.4b | (/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 c b) a) -1))) | |
| ✓ | 46.2b | (*.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) |
| 43.2b | (*.f64 (/.f64 1 (neg.f64 a)) (*.f64 (/.f64 1 b) (/.f64 a (/.f64 1 c)))) | |
| 44.2b | (/.f64 1 (/.f64 a (*.f64 (/.f64 c (/.f64 b a)) -1))) | |
| 44.1b | (*.f64 (-.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))) 3/2)) b) (/.f64 1/2 a)) | |
| ✓ | 51.8b | (/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a)) |
| 42.4b | (pow.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a)) 3) | |
| 44.9b | (*.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) -2) (/.f64 1 a)) | |
| 41.3b | (*.f64 (*.f64 (/.f64 1 a) (/.f64 c b)) (neg.f64 a)) | |
| 46.4b | (/.f64 (*.f64 (/.f64 1/2 a) (-.f64 (*.f64 c (*.f64 -4 a)) (*.f64 b b))) (-.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) | |
| 62.2b | (/.f64 1/2 (/.f64 a b)) | |
| ✓ | 44.8b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
| 43.5b | (/.f64 -1 (*.f64 (/.f64 b (*.f64 a c)) a)) | |
| ✓ | 42.5b | (*.f64 (/.f64 1 (neg.f64 a)) (/.f64 a (/.f64 b c))) |
| 56.9b | (/.f64 1 (*.f64 (/.f64 b (*.f64 a c)) a)) | |
| 53.1b | (*.f64 (/.f64 1/2 a) (+.f64 (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)) b)) | |
| ✓ | 58.1b | (exp.f64 (log.f64 (/.f64 c b))) |
| 47.7b | (*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a)) | |
| 38.2b | (/.f64 -1 (/.f64 b c)) | |
| 46.9b | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| 41.5b | (/.f64 (*.f64 (/.f64 1/2 a) (*.f64 (*.f64 -2 c) a)) b) | |
| ✓ | 37.5b | (/.f64 (neg.f64 c) b) |
| 52.3b | (*.f64 (/.f64 1/2 a) (+.f64 (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a))) b)) | |
| 56.8b | (pow.f64 (cbrt.f64 (/.f64 c b)) 3) | |
| 56.8b | (/.f64 c b) | |
| ✓ | 46.6b | (/.f64 (neg.f64 b) a) |
| 46.7b | (*.f64 (*.f64 b -2) (/.f64 1/2 a)) | |
| 43.7b | (/.f64 (/.f64 (*.f64 c (/.f64 a b)) -1) a) | |
| 49.3b | (/.f64 (-.f64 (*.f64 c (*.f64 -4 a)) (*.f64 b b)) (*.f64 (*.f64 a 2) (-.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b))) | |
| 43.4b | (expm1.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a))) | |
| 53.1b | (*.f64 (/.f64 1/2 a) (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) | |
| 52.0b | (*.f64 (/.f64 (/.f64 c b) (sqrt.f64 a)) (/.f64 (neg.f64 a) (sqrt.f64 a))) | |
| 56.4b | (log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 c b))))) | |
| 46.1b | (/.f64 (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) (*.f64 a 2)) | |
| 39.3b | (+.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a))) | |
| 56.8b | (/.f64 1 (/.f64 b c)) | |
| 43.2b | (*.f64 (/.f64 1 (neg.f64 a)) (/.f64 (*.f64 c a) b)) | |
| 36.2b | (*.f64 (fma.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))) 1/4) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))) 1/4) (neg.f64 b)) (/.f64 1/2 a)) | |
| 46.2b | (/.f64 1/2 (/.f64 a (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b))) | |
| 56.9b | (/.f64 (*.f64 c (/.f64 a b)) a) | |
| 42.1b | (*.f64 (*.f64 -2 (*.f64 a (*.f64 c (/.f64 1 b)))) (/.f64 1/2 a)) | |
| 56.8b | (/.f64 1 (*.f64 (/.f64 1 a) (/.f64 a (/.f64 c b)))) |
Compiled 654 to 466 computations (28.7% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 b) a) |
(/.f64 1/2 (/.f64 a b)) |
(/.f64 -1 (/.f64 b c)) |
(/.f64 1 (/.f64 b c)) |
(*.f64 (/.f64 1/2 a) b) |
(+.f64 0 (/.f64 c b)) |
(*.f64 (/.f64 1 b) c) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 1 (/.f64 (neg.f64 b) c)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(/.f64 (*.f64 c (/.f64 a b)) a) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(/.f64 1 (+.f64 0 (/.f64 b c))) |
(*.f64 (-.f64 b b) (/.f64 1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(/.f64 (/.f64 1 a) (/.f64 b (*.f64 a c))) |
(/.f64 -1 (*.f64 (/.f64 b (*.f64 a c)) a)) |
(/.f64 1 (*.f64 (/.f64 b (*.f64 a c)) a)) |
(/.f64 (/.f64 (*.f64 c (/.f64 a b)) -1) a) |
(/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a) |
(*.f64 (/.f64 1 (neg.f64 a)) (/.f64 (*.f64 c a) b)) |
(/.f64 1 (*.f64 (/.f64 (/.f64 b c) (neg.f64 a)) a)) |
(*.f64 (*.f64 (/.f64 1 a) (/.f64 c b)) (neg.f64 a)) |
(*.f64 (/.f64 1 (neg.f64 a)) (/.f64 a (/.f64 b c))) |
(/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 c b) a) -1))) |
(/.f64 1 (/.f64 a (*.f64 (/.f64 c (/.f64 b a)) -1))) |
(/.f64 1 (/.f64 a (*.f64 (*.f64 c (/.f64 a b)) -1))) |
(*.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (/.f64 1/2 a)) |
(/.f64 1 (*.f64 (/.f64 1 a) (/.f64 a (/.f64 c b)))) |
(*.f64 (/.f64 (*.f64 c -2) (/.f64 b a)) (/.f64 1/2 a)) |
(/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 c b) a) -1))) |
(/.f64 (*.f64 (/.f64 1/2 a) (*.f64 (*.f64 -2 c) a)) b) |
(/.f64 (/.f64 (*.f64 (*.f64 -2 c) a) b) (*.f64 a 2)) |
(*.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (/.f64 1/2 a)) |
(*.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 1/2 a)) |
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a)) |
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a)) |
(*.f64 (*.f64 -2 (*.f64 c (/.f64 1 (/.f64 b a)))) (/.f64 1/2 a)) |
(*.f64 (*.f64 -2 (*.f64 a (*.f64 c (/.f64 1 b)))) (/.f64 1/2 a)) |
(*.f64 (/.f64 1 (neg.f64 a)) (*.f64 (/.f64 1 b) (/.f64 a (/.f64 1 c)))) |
(/.f64 1 (/.f64 a (*.f64 (/.f64 1 (/.f64 (/.f64 b c) (neg.f64 a))) -1))) |
(*.f64 (-.f64 (-.f64 (/.f64 (*.f64 c 2) (/.f64 b a)) b) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 b b))) (*.f64 2 a)) |
(/.f64 (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) (*.f64 a 2)) |
(/.f64 1/2 (/.f64 a (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b))) |
(*.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) |
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) -2) (/.f64 1 a)) |
(*.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (/.f64 1 (*.f64 a -2))) |
(+.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
(/.f64 (-.f64 (*.f64 c (*.f64 -4 a)) (*.f64 b b)) (*.f64 (*.f64 a 2) (-.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b))) |
(/.f64 (*.f64 (/.f64 1/2 a) (-.f64 (*.f64 c (*.f64 -4 a)) (*.f64 b b))) (-.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) |
(exp.f64 (log.f64 (/.f64 c b))) |
(pow.f64 (cbrt.f64 (/.f64 c b)) 3) |
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 c b))))) |
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a))) |
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a))) |
(*.f64 (/.f64 (/.f64 c b) (sqrt.f64 a)) (/.f64 (neg.f64 a) (sqrt.f64 a))) |
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a)) 3) |
(*.f64 (/.f64 1/2 a) (+.f64 (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)) b)) |
(*.f64 (/.f64 1/2 a) (+.f64 (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a))) b)) |
(pow.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a) 3) 1/3) |
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a)) |
(*.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 3/2)) b) (/.f64 1/2 a)) |
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1) |
(*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) b) (/.f64 1/2 a)) |
(*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a))) 1/3)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)) (*.f64 2 a)) |
(/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2))) |
(*.f64 (-.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))) 3/2)) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (*.f64 (*.f64 c (*.f64 a -4)) (*.f64 c (*.f64 a -4)))) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))))) (*.f64 2 a)) |
(*.f64 (/.f64 1/2 a) (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))) 2) |
(*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))) 3)) (*.f64 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 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 1/2)) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (*.f64 (cbrt.f64 (*.f64 (*.f64 c -4) a)) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))))) (*.f64 2 a)) |
(/.f64 (*.f64 (/.f64 1/2 a) (-.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (*.f64 b b))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) |
(/.f64 (*.f64 (/.f64 1/2 a) (-.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 b b))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) |
(/.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 (fma.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))) 1/4) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))) 1/4) (neg.f64 b)) (/.f64 1/2 a)) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 a -2))) 3) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))) 1/4) (neg.f64 b)) (/.f64 1/2 a)) |
(*.f64 (fma.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) (neg.f64 b)) (/.f64 1/2 a)) |
| Outputs |
|---|
(-.f64 (/.f64 c b) (/.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:
| 613.0ms | c |
| 526.0ms | a |
| 178.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| 140.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 23.0b | 6 | a |
| 7.6b | 3 | b |
| 23.5b | 10 | c |
| 11.1b | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
Compiled 1211 to 685 computations (43.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 210.0ms | 5.219241473833618e-29 | 4.648559144091898e-26 |
| 278.0ms | -9.545366004348992e+114 | -1.6425937394093643e+100 |
Compiled 578 to 407 computations (29.6% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 b) a) |
(/.f64 1/2 (/.f64 a b)) |
(/.f64 -1 (/.f64 b c)) |
(/.f64 1 (/.f64 b c)) |
(*.f64 (/.f64 1/2 a) b) |
(+.f64 0 (/.f64 c b)) |
(*.f64 (/.f64 1 b) c) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 1 (/.f64 (neg.f64 b) c)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(/.f64 (*.f64 c (/.f64 a b)) a) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(/.f64 1 (+.f64 0 (/.f64 b c))) |
(*.f64 (-.f64 b b) (/.f64 1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(/.f64 (/.f64 1 a) (/.f64 b (*.f64 a c))) |
(/.f64 -1 (*.f64 (/.f64 b (*.f64 a c)) a)) |
(/.f64 1 (*.f64 (/.f64 b (*.f64 a c)) a)) |
(/.f64 (/.f64 (*.f64 c (/.f64 a b)) -1) a) |
(/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a) |
(*.f64 (/.f64 1 (neg.f64 a)) (/.f64 (*.f64 c a) b)) |
(/.f64 1 (*.f64 (/.f64 (/.f64 b c) (neg.f64 a)) a)) |
(*.f64 (*.f64 (/.f64 1 a) (/.f64 c b)) (neg.f64 a)) |
(*.f64 (/.f64 1 (neg.f64 a)) (/.f64 a (/.f64 b c))) |
(/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 c b) a) -1))) |
(/.f64 1 (/.f64 a (*.f64 (/.f64 c (/.f64 b a)) -1))) |
(/.f64 1 (/.f64 a (*.f64 (*.f64 c (/.f64 a b)) -1))) |
(*.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (/.f64 1/2 a)) |
(/.f64 1 (*.f64 (/.f64 1 a) (/.f64 a (/.f64 c b)))) |
(*.f64 (/.f64 (*.f64 c -2) (/.f64 b a)) (/.f64 1/2 a)) |
(/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 c b) a) -1))) |
(/.f64 (*.f64 (/.f64 1/2 a) (*.f64 (*.f64 -2 c) a)) b) |
(/.f64 (/.f64 (*.f64 (*.f64 -2 c) a) b) (*.f64 a 2)) |
(*.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (/.f64 1/2 a)) |
(*.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 1/2 a)) |
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a)) |
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a)) |
(*.f64 (*.f64 -2 (*.f64 c (/.f64 1 (/.f64 b a)))) (/.f64 1/2 a)) |
(*.f64 (*.f64 -2 (*.f64 a (*.f64 c (/.f64 1 b)))) (/.f64 1/2 a)) |
(*.f64 (/.f64 1 (neg.f64 a)) (*.f64 (/.f64 1 b) (/.f64 a (/.f64 1 c)))) |
(/.f64 1 (/.f64 a (*.f64 (/.f64 1 (/.f64 (/.f64 b c) (neg.f64 a))) -1))) |
(*.f64 (-.f64 (-.f64 (/.f64 (*.f64 c 2) (/.f64 b a)) b) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 b b))) (*.f64 2 a)) |
(/.f64 (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) (*.f64 a 2)) |
(/.f64 1/2 (/.f64 a (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b))) |
(*.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) |
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) -2) (/.f64 1 a)) |
(*.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (/.f64 1 (*.f64 a -2))) |
(+.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a))) |
| Outputs |
|---|
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
(/.f64 (neg.f64 c) b) |
3 calls:
| 355.0ms | a |
| 164.0ms | c |
| 134.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 28.9b | 13 | a |
| 10.6b | 3 | b |
| 34.0b | 4 | c |
Compiled 528 to 286 computations (45.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 155.0ms | 5.219241473833618e-29 | 4.648559144091898e-26 |
| 70.0ms | -1.5383196332578343e-88 | -3.4074766029137446e-93 |
Compiled 450 to 331 computations (26.4% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 b) a) |
(/.f64 1/2 (/.f64 a b)) |
(/.f64 -1 (/.f64 b c)) |
(/.f64 1 (/.f64 b c)) |
(*.f64 (/.f64 1/2 a) b) |
(+.f64 0 (/.f64 c b)) |
(*.f64 (/.f64 1 b) c) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 1 (/.f64 (neg.f64 b) c)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(/.f64 (*.f64 c (/.f64 a b)) a) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(/.f64 1 (+.f64 0 (/.f64 b c))) |
(*.f64 (-.f64 b b) (/.f64 1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(/.f64 (/.f64 1 a) (/.f64 b (*.f64 a c))) |
(/.f64 -1 (*.f64 (/.f64 b (*.f64 a c)) a)) |
(/.f64 1 (*.f64 (/.f64 b (*.f64 a c)) a)) |
(/.f64 (/.f64 (*.f64 c (/.f64 a b)) -1) a) |
(/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a) |
(*.f64 (/.f64 1 (neg.f64 a)) (/.f64 (*.f64 c a) b)) |
(/.f64 1 (*.f64 (/.f64 (/.f64 b c) (neg.f64 a)) a)) |
(*.f64 (*.f64 (/.f64 1 a) (/.f64 c b)) (neg.f64 a)) |
(*.f64 (/.f64 1 (neg.f64 a)) (/.f64 a (/.f64 b c))) |
(/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 c b) a) -1))) |
(/.f64 1 (/.f64 a (*.f64 (/.f64 c (/.f64 b a)) -1))) |
(/.f64 1 (/.f64 a (*.f64 (*.f64 c (/.f64 a b)) -1))) |
(*.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (/.f64 1/2 a)) |
(/.f64 1 (*.f64 (/.f64 1 a) (/.f64 a (/.f64 c b)))) |
(*.f64 (/.f64 (*.f64 c -2) (/.f64 b a)) (/.f64 1/2 a)) |
(/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 c b) a) -1))) |
(/.f64 (*.f64 (/.f64 1/2 a) (*.f64 (*.f64 -2 c) a)) b) |
(/.f64 (/.f64 (*.f64 (*.f64 -2 c) a) b) (*.f64 a 2)) |
(*.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (/.f64 1/2 a)) |
(*.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 1/2 a)) |
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a)) |
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a)) |
(*.f64 (*.f64 -2 (*.f64 c (/.f64 1 (/.f64 b a)))) (/.f64 1/2 a)) |
(*.f64 (*.f64 -2 (*.f64 a (*.f64 c (/.f64 1 b)))) (/.f64 1/2 a)) |
(*.f64 (/.f64 1 (neg.f64 a)) (*.f64 (/.f64 1 b) (/.f64 a (/.f64 1 c)))) |
(/.f64 1 (/.f64 a (*.f64 (/.f64 1 (/.f64 (/.f64 b c) (neg.f64 a))) -1))) |
(*.f64 (-.f64 (-.f64 (/.f64 (*.f64 c 2) (/.f64 b a)) b) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 b b))) (*.f64 2 a)) |
(/.f64 (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) (*.f64 a 2)) |
(/.f64 1/2 (/.f64 a (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b))) |
(*.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) |
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a)) |
| Outputs |
|---|
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) (*.f64 a 2)) |
(/.f64 (neg.f64 c) b) |
3 calls:
| 323.0ms | a |
| 97.0ms | c |
| 65.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 29.2b | 13 | a |
| 10.7b | 3 | b |
| 34.3b | 4 | c |
Compiled 472 to 252 computations (46.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 156.0ms | 5.219241473833618e-29 | 4.648559144091898e-26 |
| 64.0ms | -1.5383196332578343e-88 | -3.4074766029137446e-93 |
Compiled 434 to 315 computations (27.4% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 b) a) |
(/.f64 1/2 (/.f64 a b)) |
(/.f64 -1 (/.f64 b c)) |
(/.f64 1 (/.f64 b c)) |
(*.f64 (/.f64 1/2 a) b) |
(+.f64 0 (/.f64 c b)) |
(*.f64 (/.f64 1 b) c) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 1 (/.f64 (neg.f64 b) c)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(/.f64 (*.f64 c (/.f64 a b)) a) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(/.f64 1 (+.f64 0 (/.f64 b c))) |
(*.f64 (-.f64 b b) (/.f64 1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(/.f64 (/.f64 1 a) (/.f64 b (*.f64 a c))) |
(/.f64 -1 (*.f64 (/.f64 b (*.f64 a c)) a)) |
(/.f64 1 (*.f64 (/.f64 b (*.f64 a c)) a)) |
(/.f64 (/.f64 (*.f64 c (/.f64 a b)) -1) a) |
(/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1) a) |
(*.f64 (/.f64 1 (neg.f64 a)) (/.f64 (*.f64 c a) b)) |
(/.f64 1 (*.f64 (/.f64 (/.f64 b c) (neg.f64 a)) a)) |
(*.f64 (*.f64 (/.f64 1 a) (/.f64 c b)) (neg.f64 a)) |
(*.f64 (/.f64 1 (neg.f64 a)) (/.f64 a (/.f64 b c))) |
(/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 c b) a) -1))) |
(/.f64 1 (/.f64 a (*.f64 (/.f64 c (/.f64 b a)) -1))) |
(/.f64 1 (/.f64 a (*.f64 (*.f64 c (/.f64 a b)) -1))) |
(*.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (/.f64 1/2 a)) |
(/.f64 1 (*.f64 (/.f64 1 a) (/.f64 a (/.f64 c b)))) |
(*.f64 (/.f64 (*.f64 c -2) (/.f64 b a)) (/.f64 1/2 a)) |
(/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 c b) a) -1))) |
(/.f64 (*.f64 (/.f64 1/2 a) (*.f64 (*.f64 -2 c) a)) b) |
(/.f64 (/.f64 (*.f64 (*.f64 -2 c) a) b) (*.f64 a 2)) |
(*.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (/.f64 1/2 a)) |
(*.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 1/2 a)) |
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a)) |
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a)) |
(*.f64 (*.f64 -2 (*.f64 c (/.f64 1 (/.f64 b a)))) (/.f64 1/2 a)) |
(*.f64 (*.f64 -2 (*.f64 a (*.f64 c (/.f64 1 b)))) (/.f64 1/2 a)) |
(*.f64 (/.f64 1 (neg.f64 a)) (*.f64 (/.f64 1 b) (/.f64 a (/.f64 1 c)))) |
(/.f64 1 (/.f64 a (*.f64 (/.f64 1 (/.f64 (/.f64 b c) (neg.f64 a))) -1))) |
(*.f64 (-.f64 (-.f64 (/.f64 (*.f64 c 2) (/.f64 b a)) b) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 b b))) (*.f64 2 a)) |
| Outputs |
|---|
(/.f64 (neg.f64 b) a) |
(/.f64 (neg.f64 c) b) |
3 calls:
| 132.0ms | a |
| 47.0ms | b |
| 25.0ms | c |
| Error | Segments | Branch |
|---|---|---|
| 32.8b | 6 | a |
| 21.7b | 2 | b |
| 37.5b | 1 | c |
Compiled 424 to 220 computations (48.1% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 32.0ms | 7.7378279598941015e-208 | 1.191247931508725e-206 |
Compiled 122 to 91 computations (25.4% saved)
Total -19.7b remaining (-52.6%)
Threshold costs -19.7b (-52.6%)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 (neg.f64 c) b) |
| Outputs |
|---|
(/.f64 (neg.f64 c) b) |
3 calls:
| 3.0ms | b |
| 3.0ms | a |
| 3.0ms | c |
| Error | Segments | Branch |
|---|---|---|
| 37.5b | 1 | a |
| 37.5b | 1 | b |
| 37.5b | 1 | c |
Compiled 22 to 15 computations (31.8% saved)
| 1× | egg-herbie |
| 12× | +-commutative_binary64 |
| 12× | *-commutative_binary64 |
| 9× | sub-neg_binary64 |
| 7× | neg-sub0_binary64 |
| 7× | neg-mul-1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 176 |
| 1 | 73 | 172 |
| 2 | 98 | 172 |
| 3 | 110 | 172 |
| 4 | 116 | 172 |
| 5 | 117 | 172 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 b -16500000000000000553798037144898008410714620154037550289500216328104862161852990211177868257445019648) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 4816960962882615/89202980794122492566142873090593446023921664) (/.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 -32108980623861/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 4816960962882615/89202980794122492566142873090593446023921664) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b -32108980623861/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 4816960962882615/89202980794122492566142873090593446023921664) (/.f64 (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b 578358058743443/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c b) |
| Outputs |
|---|
(if (<=.f64 b -16500000000000000553798037144898008410714620154037550289500216328104862161852990211177868257445019648) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 4816960962882615/89202980794122492566142873090593446023921664) (/.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 -16500000000000000553798037144898008410714620154037550289500216328104862161852990211177868257445019648) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 4816960962882615/89202980794122492566142873090593446023921664) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))) (*.f64 a 2)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b -16500000000000000553798037144898008410714620154037550289500216328104862161852990211177868257445019648) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 4816960962882615/89202980794122492566142873090593446023921664) (/.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 -32108980623861/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 4816960962882615/89202980794122492566142873090593446023921664) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b -32108980623861/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 4816960962882615/89202980794122492566142873090593446023921664) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 a 2)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b -32108980623861/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 4816960962882615/89202980794122492566142873090593446023921664) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b -32108980623861/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 4816960962882615/89202980794122492566142873090593446023921664) (/.f64 (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b -32108980623861/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 4816960962882615/89202980794122492566142873090593446023921664) (/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 a 2)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b 578358058743443/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c b) |
Compiled 134 to 87 computations (35.1% saved)
| 4× | egg-herbie |
| 981× | fma-def_binary64 |
| 981× | fma-def_binary64 |
| 978× | times-frac_binary64 |
| 978× | times-frac_binary64 |
| 970× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 26 |
| 1 | 33 | 22 |
| 2 | 72 | 22 |
| 3 | 163 | 22 |
| 4 | 266 | 22 |
| 5 | 435 | 22 |
| 6 | 747 | 22 |
| 7 | 1334 | 22 |
| 8 | 2704 | 22 |
| 9 | 4100 | 22 |
| 10 | 5724 | 22 |
| 11 | 6429 | 22 |
| 12 | 7085 | 22 |
| 13 | 7173 | 22 |
| 14 | 7735 | 22 |
| 15 | 7877 | 22 |
| 0 | 182 | 2075 |
| 1 | 576 | 2019 |
| 2 | 2099 | 1854 |
| 0 | 15 | 26 |
| 1 | 33 | 22 |
| 2 | 72 | 22 |
| 3 | 163 | 22 |
| 4 | 266 | 22 |
| 5 | 435 | 22 |
| 6 | 747 | 22 |
| 7 | 1334 | 22 |
| 8 | 2704 | 22 |
| 9 | 4100 | 22 |
| 10 | 5724 | 22 |
| 11 | 6429 | 22 |
| 12 | 7085 | 22 |
| 13 | 7173 | 22 |
| 14 | 7735 | 22 |
| 15 | 7877 | 22 |
| 0 | 182 | 2075 |
| 1 | 576 | 2019 |
| 2 | 2099 | 1854 |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
Compiled 874 to 616 computations (29.5% saved)
Compiled 119 to 57 computations (52.1% saved)
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