Time bar (total: 25.7s)
| 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)
| 1.8s | 5512× | body | 256 | valid |
| 1.1s | 1196× | body | 2048 | valid |
| 471.0ms | 421× | body | 4096 | valid |
| 410.0ms | 741× | body | 1024 | valid |
| 335.0ms | 1604× | body | 256 | invalid |
| 102.0ms | 386× | 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 |
|---|---|---|
| ▶ | 34.6b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| ▶ | 34.7b | (*.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 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 a (*.f64 c -4) (*.f64 b b)) |
| ✓ | 0.2b | (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a)) |
| ✓ | 1.3b | (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) |
| ✓ | 25.2b | (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) |
Compiled 60 to 30 computations (50% saved)
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | 0 | (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a)) |
| 1.0ms | b | @ | 0 | (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) |
| 1.0ms | a | @ | inf | (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a)) |
| 1.0ms | c | @ | inf | (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) |
| 1.0ms | a | @ | 0 | (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a)) |
| 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 | 62 |
| 1 | 280 | 62 |
| 2 | 3646 | 59 |
| 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)) |
(fma.f64 a (*.f64 c -4) (*.f64 b b)) |
| 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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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b b) (*.f64 (*.f64 a c) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 b b (*.f64 (*.f64 a c) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 a c) -4) 1) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (cbrt.f64 (exp.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 b b (*.f64 (*.f64 a c) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) (*.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 2) (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) (*.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 3) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (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 (+.f64 (pow.f64 (*.f64 (*.f64 a c) -4) 3) (pow.f64 (*.f64 b b) 3)) (fma.f64 (*.f64 (*.f64 a c) -4) (*.f64 (*.f64 a c) -4) (-.f64 (pow.f64 b 4) (*.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (*.f64 a c) -4) (*.f64 (*.f64 a c) -4)) (pow.f64 b 4)) (-.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 b) b) (exp.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b b))) (exp.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (*.f64 a c) -4)) (+.f64 1 (expm1.f64 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 b b (*.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)))))) |
| 1× | egg-herbie |
| 978× | times-frac_binary64 |
| 978× | fma-def_binary64 |
| 643× | associate-/l*_binary64 |
| 582× | 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 |
|---|
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))))) |
(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 -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))) |
| 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 -2 (*.f64 (/.f64 c b) a) (/.f64 -4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))))) |
(+.f64 b (fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.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) |
(+.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 -2 (*.f64 (/.f64 c b) a) (/.f64 -4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))))) |
(+.f64 b (fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 (/.f64 -4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) 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 1 (*.f64 c a))) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) 1/2)))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (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 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) 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 (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))) (*.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) |
(+.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 -2 (*.f64 (/.f64 c b) a) (/.f64 -4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))))) |
(+.f64 b (fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.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)) |
(fma.f64 (*.f64 (/.f64 c b) a) 2 (neg.f64 b)) |
(-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))) |
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b))) |
(-.f64 (*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 (*.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 4 (pow.f64 a 3)) (pow.f64 c 3)) (pow.f64 b 5))) b)) |
(fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 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 -2 (/.f64 b (*.f64 c 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 -2 (*.f64 (/.f64 c b) a) (/.f64 -4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))) |
(fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 (/.f64 -4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (*.f64 -2 (/.f64 (*.f64 c c) (pow.f64 b 3))) 2))) b) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))) |
(fma.f64 -2 (*.f64 (/.f64 (*.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 -2 (*.f64 (/.f64 c b) a) (/.f64 -4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))))) |
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 c 4) b) (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20)) (fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.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 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 -2 (*.f64 (/.f64 c b) a) (/.f64 -4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))) |
(fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 (/.f64 -4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
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(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b)) |
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(*.f64 -2 b) |
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(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))) |
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(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 4 (pow.f64 a 3)) (pow.f64 c 3)) (pow.f64 b 5))))) |
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(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b))) |
(-.f64 (neg.f64 (/.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))) |
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(-.f64 (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.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 (neg.f64 (/.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))) |
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(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 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))) (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)) |
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(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2) (*.f64 -1/2 (/.f64 b a))) |
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(*.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 (neg.f64 (/.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 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (neg.f64 (/.f64 c b))) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(-.f64 (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))) (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 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (neg.f64 (/.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 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))) (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 c b) (+.f64 (-.f64 (*.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))) (/.f64 b a)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))) |
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 b b (*.f64 c (*.f64 a -4))) |
(fma.f64 b b (*.f64 a (*.f64 c -4))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 b b (*.f64 c (*.f64 a -4))) |
(fma.f64 b b (*.f64 a (*.f64 c -4))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 b b (*.f64 c (*.f64 a -4))) |
(fma.f64 b b (*.f64 a (*.f64 c -4))) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 b b (*.f64 c (*.f64 a -4))) |
(fma.f64 b b (*.f64 a (*.f64 c -4))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 b b (*.f64 c (*.f64 a -4))) |
(fma.f64 b b (*.f64 a (*.f64 c -4))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 b b (*.f64 c (*.f64 a -4))) |
(fma.f64 b b (*.f64 a (*.f64 c -4))) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 b b (*.f64 c (*.f64 a -4))) |
(fma.f64 b b (*.f64 a (*.f64 c -4))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 b b (*.f64 c (*.f64 a -4))) |
(fma.f64 b b (*.f64 a (*.f64 c -4))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 b b (*.f64 c (*.f64 a -4))) |
(fma.f64 b b (*.f64 a (*.f64 c -4))) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 b b (*.f64 c (*.f64 a -4))) |
(fma.f64 b b (*.f64 a (*.f64 c -4))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 b b (*.f64 c (*.f64 a -4))) |
(fma.f64 b b (*.f64 a (*.f64 c -4))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 b b (*.f64 c (*.f64 a -4))) |
(fma.f64 b b (*.f64 a (*.f64 c -4))) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 b b (*.f64 c (*.f64 a -4))) |
(fma.f64 b b (*.f64 a (*.f64 c -4))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 b b (*.f64 c (*.f64 a -4))) |
(fma.f64 b b (*.f64 a (*.f64 c -4))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 b b (*.f64 c (*.f64 a -4))) |
(fma.f64 b b (*.f64 a (*.f64 c -4))) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 b b (*.f64 c (*.f64 a -4))) |
(fma.f64 b b (*.f64 a (*.f64 c -4))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 b b (*.f64 c (*.f64 a -4))) |
(fma.f64 b b (*.f64 a (*.f64 c -4))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 b b (*.f64 c (*.f64 a -4))) |
(fma.f64 b b (*.f64 a (*.f64 c -4))) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 a (*.f64 c -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 b b (*.f64 c (*.f64 a -4))) |
(fma.f64 b b (*.f64 a (*.f64 c -4))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 b b (*.f64 c (*.f64 a -4))) |
(fma.f64 b b (*.f64 a (*.f64 c -4))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 b b (*.f64 c (*.f64 a -4))) |
(fma.f64 b b (*.f64 a (*.f64 c -4))) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 b b (*.f64 c (*.f64 a -4))) |
(fma.f64 b b (*.f64 a (*.f64 c -4))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 b b (*.f64 c (*.f64 a -4))) |
(fma.f64 b b (*.f64 a (*.f64 c -4))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 b b (*.f64 c (*.f64 a -4))) |
(fma.f64 b b (*.f64 a (*.f64 c -4))) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 b b (*.f64 c (*.f64 a -4))) |
(fma.f64 b b (*.f64 a (*.f64 c -4))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 b b (*.f64 c (*.f64 a -4))) |
(fma.f64 b b (*.f64 a (*.f64 c -4))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 b b (*.f64 c (*.f64 a -4))) |
(fma.f64 b b (*.f64 a (*.f64 c -4))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (*.f64 4 a) c) |
| ✓ | 0.4b | (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) |
| ✓ | 1.3b | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) |
| ✓ | 25.2b | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) |
Compiled 73 to 38 computations (47.9% saved)
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 38.0ms | c | @ | -inf | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) |
| 1.0ms | b | @ | 0 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) |
| 1.0ms | b | @ | 0 | (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) |
| 1.0ms | c | @ | -inf | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) |
| 0.0ms | c | @ | inf | (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) |
| 1× | batch-egg-rewrite |
| 704× | fma-def_binary64 |
| 631× | log-prod_binary64 |
| 357× | fma-neg_binary64 |
| 327× | pow2_binary64 |
| 223× | expm1-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 55 |
| 1 | 276 | 47 |
| 2 | 3931 | 45 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) |
(*.f64 (*.f64 4 a) c) |
| Outputs |
|---|
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(sqrt.f64 (*.f64 c (*.f64 a -4)))) (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (fma.f64 (neg.f64 (*.f64 a c)) 4 (*.f64 4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (fma.f64 (*.f64 c (*.f64 a -4)) 1 (*.f64 4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 4 (*.f64 a c)))) (pow.f64 (cbrt.f64 (*.f64 4 (*.f64 a c))) 2) (*.f64 4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 a c))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (+.f64 (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 a c))) (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 a c))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 4 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) 4) c)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) 4) c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) 4) c))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) 4) c))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 4 (*.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (*.f64 a c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (*.f64 a c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (sqrt.f64 (*.f64 a c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 64 (pow.f64 (*.f64 a c) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16 (pow.f64 (*.f64 a c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a) 4) c))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 64 (pow.f64 (*.f64 a c) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 4 (*.f64 a c))) 1)))))) |
| 1× | egg-herbie |
| 712× | times-frac_binary64 |
| 666× | associate-*r*_binary64 |
| 633× | associate-*l*_binary64 |
| 621× | fma-def_binary64 |
| 437× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 1929 |
| 1 | 397 | 1849 |
| 2 | 1375 | 1750 |
| 3 | 7828 | 1750 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -1 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -2 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (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 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 4 (*.f64 c a)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))) |
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (/.f64 (*.f64 -2 (*.f64 c a)) b)) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
(fma.f64 -2 (/.f64 (*.f64 c a) b) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (/.f64 (*.f64 -2 (*.f64 c a)) b))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b)) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (/.f64 (*.f64 -2 (*.f64 c a)) b)))) |
(+.f64 b (fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (*.f64 -2 c) (/.f64 b a))))) |
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b)) (*.f64 -4 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))))) |
(*.f64 -1 b) |
(neg.f64 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b)) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (neg.f64 b)) |
(-.f64 (/.f64 (*.f64 c 2) (/.f64 b a)) b) |
(-.f64 (/.f64 (*.f64 c a) (/.f64 b 2)) b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b))) |
(-.f64 (*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)))) b) |
(fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b)) (neg.f64 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b)))) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (-.f64 (fma.f64 2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))) b)) |
(fma.f64 4 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b)) (neg.f64 b))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (/.f64 (*.f64 -2 (*.f64 c a)) b)) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
(fma.f64 -2 (/.f64 (*.f64 c a) b) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (/.f64 (*.f64 -2 (*.f64 c a)) b))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b)) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (/.f64 (*.f64 -2 (*.f64 c a)) b)))) |
(+.f64 b (fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (*.f64 -2 c) (/.f64 b a))))) |
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b)) (*.f64 -4 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (/.f64 (*.f64 -2 (*.f64 c a)) b)) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
(fma.f64 -2 (/.f64 (*.f64 c a) b) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (/.f64 (*.f64 -2 (*.f64 c a)) b))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b)) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (/.f64 (*.f64 -2 (*.f64 c a)) b)))) |
(+.f64 b (fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (*.f64 -2 c) (/.f64 b a))))) |
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b)) (*.f64 -4 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b)))) b)) |
(-.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b)))) b))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)) b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 -2 c) (/.f64 b a)) |
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(*.f64 -2 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 (*.f64 c a) b))) |
(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)))) |
(*.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b))) |
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(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (/.f64 (*.f64 -2 (*.f64 c a)) b))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (*.f64 -2 c) (/.f64 b a)))) |
(fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b)) (*.f64 -4 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (*.f64 c c) (*.f64 a a))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (/.f64 (*.f64 -2 (*.f64 c a)) b)))) |
(fma.f64 -1/2 (/.f64 (fma.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 4 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (*.f64 -2 c) (/.f64 b a))))) |
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b)) (*.f64 -4 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))))) |
(*.f64 -2 b) |
(*.f64 b -2) |
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(fma.f64 2 (/.f64 (*.f64 c a) b) (*.f64 b -2)) |
(fma.f64 b -2 (/.f64 (*.f64 c 2) (/.f64 b a))) |
(fma.f64 b -2 (/.f64 (*.f64 c a) (/.f64 b 2))) |
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(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 -2 b (*.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a)))))) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 b -2 (*.f64 2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a))))) |
(fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b)) (*.f64 b -2)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 -2 b (fma.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (*.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))))))) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 b -2 (fma.f64 2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4)) (fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b)) (*.f64 b -2))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 -2 c) (/.f64 b a)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(*.f64 -2 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 (*.f64 c a) b))) |
(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)))) |
(*.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.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)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (/.f64 (*.f64 -2 (*.f64 c a)) b))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (*.f64 -2 c) (/.f64 b a)))) |
(fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b)) (*.f64 -4 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))))) |
(+.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 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (/.f64 (*.f64 -2 (*.f64 c a)) b)))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 a 4) b) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6))))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (*.f64 -2 c) (/.f64 b a))))) |
(fma.f64 -1/2 (*.f64 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 20) (/.f64 (pow.f64 a 4) b)) (fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b)) (*.f64 -4 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 -2 (*.f64 c a)) b) |
(/.f64 (*.f64 -2 c) (/.f64 b a)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(*.f64 -2 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 (*.f64 c a) b))) |
(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)))) |
(*.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.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)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (/.f64 (*.f64 -2 (*.f64 c a)) b))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (*.f64 -2 c) (/.f64 b a)))) |
(fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b)) (*.f64 -4 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 (pow.f64 a 4) (/.f64 b (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (*.f64 -2 (/.f64 (*.f64 c c) (pow.f64 b 3))) 2)))) (fma.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (/.f64 (*.f64 -2 (*.f64 c a)) b)))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 a 4) b) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6))))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (*.f64 -2 c) (/.f64 b a))))) |
(fma.f64 -1/2 (*.f64 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 20) (/.f64 (pow.f64 a 4) b)) (fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b)) (*.f64 -4 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))))) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
(*.f64 4 (*.f64 c a)) |
(*.f64 (*.f64 c a) 4) |
(*.f64 c (*.f64 a 4)) |
Compiled 18341 to 10994 computations (40.1% saved)
25 alts after pruning (25 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 639 | 25 | 664 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 641 | 25 | 666 |
| Status | Error | Program |
|---|---|---|
| 54.9b | (*.f64 (-.f64 b b) (/.f64 1/2 a)) | |
| 41.4b | (/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 3/2))) (*.f64 2 a)) | |
| 44.3b | (*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a)) | |
| ▶ | 44.3b | (/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a)) |
| 34.6b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 a c))))))) (*.f64 2 a)) | |
| 46.3b | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| 39.7b | (*.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) b) (/.f64 1/2 a)) | |
| 50.0b | (*.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (/.f64 1/2 a)) | |
| 42.1b | (neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) | |
| 34.7b | (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))) b) (/.f64 1/2 a)) | |
| 52.7b | (/.f64 (*.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b))) (*.f64 2 a)) | |
| 46.8b | (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a)) | |
| 47.5b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1) (*.f64 2 a)) | |
| ▶ | 33.8b | (/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2))) |
| 46.5b | (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) | |
| 39.4b | (/.f64 (neg.f64 c) b) | |
| 46.0b | (*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a)) | |
| 46.2b | (*.f64 (*.f64 b -2) (/.f64 1/2 a)) | |
| 36.4b | (*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2) b) (/.f64 1/2 a)) | |
| 44.0b | (/.f64 (/.f64 (*.f64 -2 c) (/.f64 b a)) (*.f64 2 a)) | |
| 41.5b | (*.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2)) b) (/.f64 1/2 a)) | |
| ▶ | 46.2b | (/.f64 (neg.f64 b) a) |
| 35.1b | (+.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (/.f64 1/2 a)) (*.f64 (neg.f64 b) (/.f64 1/2 a))) | |
| ▶ | 46.0b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
| ▶ | 48.3b | (*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a)) |
Compiled 830 to 584 computations (29.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2)) |
| ✓ | 0.1b | (/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2))) |
| ✓ | 0.3b | (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) |
| ✓ | 14.2b | (sqrt.f64 (*.f64 (*.f64 a c) -4)) |
Compiled 83 to 46 computations (44.6% saved)
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | b | @ | inf | (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2)) |
| 9.0ms | c | @ | 0 | (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2)) |
| 9.0ms | c | @ | 0 | (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) |
| 7.0ms | a | @ | inf | (/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2))) |
| 6.0ms | a | @ | -inf | (/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2))) |
| 1× | batch-egg-rewrite |
| 804× | log-prod_binary64 |
| 579× | prod-diff_binary64 |
| 276× | expm1-udef_binary64 |
| 276× | log1p-udef_binary64 |
| 244× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 69 |
| 1 | 323 | 66 |
| 2 | 4221 | 66 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (*.f64 a c) -4)) |
(-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) |
(/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2))) |
(/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (*.f64 c -4))) (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))) (cbrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (pow.f64 (*.f64 c -4) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 1/4) (pow.f64 (*.f64 a (*.f64 c -4)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 16 (pow.f64 (*.f64 a c) 2)))) (sqrt.f64 (cbrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 16 (pow.f64 (*.f64 a c) 2))) 1/2) (pow.f64 (cbrt.f64 (*.f64 a (*.f64 c -4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 c -4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 c -4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (fma.f64 -1 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x 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1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1/2))) (/.f64 (cbrt.f64 a) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a 1/2) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 a 1/2) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 a 1/2) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 a 1/2) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (/.f64 a 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 a 1/2) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (/.f64 2 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 a 1/2) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 a 1/2) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) 1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 a 1/2) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 a 1/2) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 a 1/2) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 a 1/2) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b))) 1)))))) |
| 1× | egg-herbie |
| 825× | associate-/r*_binary64 |
| 635× | unswap-sqr_binary64 |
| 444× | associate-*l/_binary64 |
| 393× | associate-*r/_binary64 |
| 257× | associate-+l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 222 | 1791 |
| 1 | 688 | 1412 |
| 2 | 2828 | 1348 |
| 3 | 7352 | 1341 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))))) |
(*.f64 -2 b) |
(+.f64 (*.f64 -2 b) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))) |
(+.f64 (*.f64 -2 b) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))))) |
(+.f64 (*.f64 -2 b) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))) |
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))))))) |
(*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)))) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))) |
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
(*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))) |
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))) |
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))) |
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 b 3) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4)))))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))))) |
(*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) |
(+.f64 (/.f64 a b) (*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))))) |
(+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (/.f64 a b) (*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))))) |
(+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (/.f64 a b) (+.f64 (*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -2 (/.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 1/4 (*.f64 c (*.f64 a (*.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))))))))) (pow.f64 b 5)))))) |
(*.f64 -1 (/.f64 a b)) |
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3)))) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))))) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6)))) (*.f64 1/128 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b)) |
(-.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (sqrt.f64 -4) (*.f64 b b)))) b)) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b 1/2) (/.f64 (sqrt.f64 -4) b))) b)) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b 1/2) (/.f64 (sqrt.f64 -4) b)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (sqrt.f64 -4) (*.f64 b b)))) b))) |
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(fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)) (/.f64 (neg.f64 b) a)))) |
(+.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a -64))) -1/32 (/.f64 (neg.f64 b) a)) (fma.f64 1/16 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) (/.f64 (*.f64 1 c) b))) |
(+.f64 (-.f64 (fma.f64 1/16 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) (/.f64 c b)) (/.f64 b a)) (*.f64 (/.f64 -1/32 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (*.f64 a (*.f64 a -64))))) |
(fma.f64 1/16 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) (fma.f64 (/.f64 (*.f64 -1/32 (pow.f64 c 3)) (pow.f64 b 5)) (*.f64 a (*.f64 a -64)) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))) |
(*.f64 2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4))) |
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))) |
(*.f64 2 (+.f64 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))) |
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b c))) |
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (/.f64 (*.f64 b -1/2) c)) |
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))) |
(fma.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -2 (*.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2)) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/2 (/.f64 b c)) (fma.f64 2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (*.f64 (*.f64 b b) (*.f64 (*.f64 (/.f64 -1/4 (sqrt.f64 -4)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) -1/2)) -2)))) |
(+.f64 (fma.f64 2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (/.f64 (*.f64 b -1/2) c)) (*.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (/.f64 1/8 (sqrt.f64 -4))) -2))) |
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 b 3) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4)))))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))))) |
(fma.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -2 (*.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2)) (fma.f64 -2 (*.f64 (pow.f64 b 3) (+.f64 (/.f64 1/2 (*.f64 (*.f64 c c) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2) (sqrt.f64 -4))))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))))) |
(+.f64 (*.f64 -2 (+.f64 (*.f64 b (*.f64 b (*.f64 (/.f64 -1/4 (sqrt.f64 -4)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) -1/2)))) (*.f64 (pow.f64 b 3) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (/.f64 -1/4 (sqrt.f64 -4))) (/.f64 (sqrt.f64 -4) -1/2)) (/.f64 1/2 (*.f64 a (*.f64 16 (*.f64 c c)))))))) (fma.f64 2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b c)))) |
(+.f64 (fma.f64 2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (/.f64 (*.f64 b -1/2) c)) (*.f64 -2 (*.f64 (*.f64 b b) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (/.f64 1/8 (sqrt.f64 -4))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) -1/2) 16) (/.f64 1/32 (*.f64 c (*.f64 c a)))) b))))) |
(*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) |
(*.f64 -1 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(+.f64 (/.f64 a b) (*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))))) |
(+.f64 (*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (/.f64 a b)) |
(+.f64 (*.f64 -1 (/.f64 b c)) (/.f64 a b)) |
(+.f64 (/.f64 (neg.f64 b) c) (/.f64 a b)) |
(-.f64 (/.f64 a b) (/.f64 b c)) |
(+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (/.f64 a b) (*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a))) 1/8) (pow.f64 b 3)) (+.f64 (*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (/.f64 a b))) |
(+.f64 (*.f64 -1 (/.f64 b c)) (fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (/.f64 a b))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (+.f64 (/.f64 (neg.f64 b) c) (/.f64 a b))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (-.f64 (/.f64 a b) (/.f64 b c))) |
(+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (/.f64 a b) (+.f64 (*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -2 (/.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 1/4 (*.f64 c (*.f64 a (*.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))))))))) (pow.f64 b 5)))))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a))) 1/8) (pow.f64 b 3)) (+.f64 (/.f64 a b) (fma.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 -2 (/.f64 (fma.f64 -2 (/.f64 (fma.f64 1/16 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (sqrt.f64 -4) 8)) (pow.f64 (*.f64 (*.f64 -1/8 (*.f64 c c)) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) 2)) (*.f64 (*.f64 c c) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/16 (*.f64 (*.f64 c c) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (*.f64 1/4 (*.f64 c (*.f64 a (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a))) 1/8))))))) (pow.f64 b 5)))))) |
(+.f64 (fma.f64 -2 (/.f64 (fma.f64 -2 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) 2)) (*.f64 a (*.f64 16 (*.f64 c c)))) (fma.f64 1/4 (*.f64 c (*.f64 (*.f64 a -4) (*.f64 (*.f64 c (*.f64 a a)) -1/2))) (*.f64 (*.f64 c (*.f64 c (pow.f64 a 3))) 1))) (pow.f64 b 5)) (*.f64 -1 (/.f64 b c))) (fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (/.f64 a b))) |
(+.f64 (fma.f64 -2 (/.f64 (+.f64 (*.f64 (/.f64 -1/8 a) (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) (*.f64 c c))) (fma.f64 1/4 (*.f64 (*.f64 c a) (*.f64 (*.f64 a (*.f64 a 16)) (*.f64 c 1/8))) (*.f64 (pow.f64 a 3) (*.f64 c c)))) (pow.f64 b 5)) (/.f64 (neg.f64 b) c)) (fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (/.f64 a b))) |
(+.f64 (-.f64 (/.f64 a b) (/.f64 b c)) (*.f64 -2 (+.f64 (/.f64 (+.f64 (*.f64 (/.f64 -1/8 a) (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) (*.f64 c c))) (fma.f64 1/4 (*.f64 (*.f64 c a) (*.f64 (*.f64 a (*.f64 a 16)) (*.f64 c 1/8))) (*.f64 (pow.f64 a 3) (*.f64 c c)))) (pow.f64 b 5)) (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3))))) |
(*.f64 -1 (/.f64 a b)) |
(neg.f64 (/.f64 a b)) |
(/.f64 (neg.f64 a) b) |
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3)))) |
(fma.f64 -1 (/.f64 a b) (*.f64 1/4 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 -1 c) (*.f64 a a)) (pow.f64 b 3)) (/.f64 a b)) |
(-.f64 (/.f64 (*.f64 (neg.f64 c) (*.f64 a a)) (pow.f64 b 3)) (/.f64 a b)) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))))) |
(fma.f64 -1 (/.f64 a b) (fma.f64 1/4 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a)))) (*.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))))))) |
(-.f64 (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 16)) (/.f64 (*.f64 (*.f64 -1 c) (*.f64 a a)) (pow.f64 b 3))) (/.f64 a b)) |
(-.f64 (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 a 3) (*.f64 c c)) (pow.f64 b 5)) 16) (/.f64 (*.f64 (neg.f64 c) (*.f64 a a)) (pow.f64 b 3))) (/.f64 a b)) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6)))) (*.f64 1/128 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))) |
(fma.f64 -1 (/.f64 a b) (fma.f64 1/4 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a)))) (fma.f64 2 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -4) 6) (pow.f64 a 4))) 5/128) (pow.f64 b 7)) (*.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4)))))))) |
(+.f64 (-.f64 (/.f64 (*.f64 (*.f64 -1 c) (*.f64 a a)) (pow.f64 b 3)) (/.f64 a b)) (fma.f64 2 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 4)) -5/2) (pow.f64 b 7)) (/.f64 (*.f64 -1/8 (*.f64 c c)) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) 16))))) |
(+.f64 (/.f64 (*.f64 (neg.f64 c) (*.f64 a a)) (pow.f64 b 3)) (-.f64 (fma.f64 2 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 4)) -5/2) (pow.f64 b 7)) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 a 3) (*.f64 c c)) (pow.f64 b 5)) 16))) (/.f64 a b))) |
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 a 3) (*.f64 c c)) (pow.f64 b 5)) 16) (/.f64 (*.f64 (neg.f64 c) (*.f64 a a)) (pow.f64 b 3))) (fma.f64 (/.f64 2 (pow.f64 b 7)) (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 4)) -5/2) (/.f64 (neg.f64 a) b))) |
Compiled 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)) |
| ✓ | 5.4b | (/.f64 (*.f64 c a) b) |
| ✓ | 10.8b | (/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a)) |
Compiled 37 to 16 computations (56.8% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | c | @ | inf | (/.f64 (*.f64 c a) b) |
| 1.0ms | c | @ | 0 | (/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a)) |
| 1.0ms | c | @ | inf | (/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a)) |
| 1.0ms | a | @ | 0 | (/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a)) |
| 1.0ms | b | @ | inf | (/.f64 (*.f64 c a) b) |
| 1× | batch-egg-rewrite |
| 731× | log-prod_binary64 |
| 389× | pow-prod-down_binary64 |
| 314× | pow2_binary64 |
| 263× | pow-unpow_binary64 |
| 223× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 30 |
| 1 | 242 | 29 |
| 2 | 3476 | 29 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a)) |
(/.f64 (*.f64 c a) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
| Outputs |
|---|
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| 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 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
| ✓ | 0.2b | (*.f64 c (*.f64 a -4)) |
| ✓ | 14.2b | (sqrt.f64 (*.f64 c (*.f64 a -4))) |
Compiled 49 to 30 computations (38.8% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | inf | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
| 1.0ms | a | @ | -inf | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
| 1.0ms | 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)) |
| 1.0ms | b | @ | 0 | (/.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 | 36 |
| 1 | 284 | 34 |
| 2 | 3968 | 34 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 c (*.f64 a -4))) |
(*.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 c -4) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) -4) c)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) -4) c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) -4) c))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) -4) c))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 c -4) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 c -4) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 c -4) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 c 3) (pow.f64 (*.f64 a -4) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 a -4) 3) (pow.f64 c 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a) -4) c))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 c -4) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 (*.f64 a -4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 a -4) 3) (pow.f64 c 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.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 |
| 13× | *-commutative_binary64 |
| 10× | fma-def_binary64 |
| 6× | associate-*r*_binary64 |
| 6× | associate-*l*_binary64 |
| 2× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 399 |
| 1 | 30 | 399 |
| 2 | 52 | 399 |
| 3 | 64 | 399 |
| 4 | 66 | 399 |
| 5 | 67 | 399 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 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 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))) |
(*.f64 -1/2 (/.f64 b a)) |
(+.f64 (*.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 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))) |
(*.f64 -1/2 (/.f64 b a)) |
(+.f64 (*.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 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) |
| ✓ | 0.1b | (*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a)) |
| ✓ | 0.1b | (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) |
| ✓ | 0.2b | (sqrt.f64 (*.f64 c -4)) |
Compiled 62 to 37 computations (40.3% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | a | @ | -inf | (*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a)) |
| 2.0ms | a | @ | inf | (*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a)) |
| 2.0ms | a | @ | -inf | (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) |
| 2.0ms | a | @ | inf | (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) |
| 2.0ms | a | @ | -inf | (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) |
| 1× | batch-egg-rewrite |
| 708× | log-prod_binary64 |
| 503× | prod-diff_binary64 |
| 262× | pow1/3_binary64 |
| 259× | expm1-udef_binary64 |
| 259× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 51 |
| 1 | 302 | 51 |
| 2 | 3828 | 51 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 c -4)) |
(*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) |
(*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a)) |
(-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) |
| Outputs |
|---|
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(*.f64 b b)))) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (fma.f64 (*.f64 c -4) a (*.f64 b b)) (*.f64 b b)) (/.f64 1 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b))) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (fma.f64 (*.f64 c -4) a (*.f64 b b)) (*.f64 b b)) (/.f64 1 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b))) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (fma.f64 (*.f64 c -4) a (*.f64 b b)) (*.f64 b b)) (/.f64 1 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b))) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (neg.f64 b)) (cbrt.f64 (neg.f64 b))) (cbrt.f64 (neg.f64 b)) (hypot.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b)) (hypot.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) (hypot.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 b (hypot.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (sqrt.f64 b)) (-.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (sqrt.f64 b)) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (sqrt.f64 b)) (-.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (sqrt.f64 b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (sqrt.f64 b)) (-.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (sqrt.f64 b)) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (hypot.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)))))) |
| 1× | egg-herbie |
| 919× | times-frac_binary64 |
| 685× | associate-/l*_binary64 |
| 557× | unswap-sqr_binary64 |
| 489× | associate-/r*_binary64 |
| 483× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 146 | 1093 |
| 1 | 423 | 893 |
| 2 | 1543 | 854 |
| 3 | 6630 | 854 |
| 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 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))))) |
(*.f64 -2 b) |
(+.f64 (*.f64 -2 b) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))) |
(+.f64 (*.f64 -2 b) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))))) |
(+.f64 (*.f64 -2 b) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))) |
| Outputs |
|---|
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 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 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))) |
(fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 1/4 (*.f64 (/.f64 b (sqrt.f64 -4)) b))))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))))))) |
(fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (*.f64 -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 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3))) (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4))) (/.f64 (*.f64 -1/2 b) a)))) |
(fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (fma.f64 -1/2 (/.f64 b a) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 1/64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))))))) |
(*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) |
(*.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2)))) |
(/.f64 (*.f64 -1 c) b) |
(/.f64 (neg.f64 c) b) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)))) |
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (*.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))))) |
(fma.f64 -1/16 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) (/.f64 (*.f64 -1 c) b)) |
(fma.f64 -1/16 (/.f64 a (/.f64 (/.f64 (pow.f64 b 3) 16) (*.f64 c c))) (/.f64 (neg.f64 c) b)) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))) |
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 1/32 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6))))))) |
(+.f64 (/.f64 (*.f64 -1 c) b) (fma.f64 1/32 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a -64))) (*.f64 -1/16 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16))))) |
(fma.f64 -1/16 (/.f64 a (/.f64 (/.f64 (pow.f64 b 3) 16) (*.f64 c c))) (fma.f64 1/32 (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) -64)) (*.f64 a a)) (/.f64 (neg.f64 c) b))) |
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.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 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (sqrt.f64 -4) 8)) (pow.f64 (*.f64 (*.f64 -1/8 (*.f64 c c)) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a))) 2)) (*.f64 a (pow.f64 b 7))) (fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 1/32 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6)))))))) |
(+.f64 (fma.f64 1/32 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a -64))) (*.f64 -1/16 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)))) (fma.f64 -1/4 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) 2)) (*.f64 a (pow.f64 b 7))) (/.f64 (*.f64 -1 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))) (fma.f64 -1/16 (/.f64 a (/.f64 (/.f64 (pow.f64 b 3) 16) (*.f64 c c))) (fma.f64 1/32 (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) -64)) (*.f64 a a)) (/.f64 (neg.f64 c) b)))) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a))) |
(fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (/.f64 (neg.f64 b) a)) |
(-.f64 (/.f64 (*.f64 1 c) b) (/.f64 b a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))) |
(fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (/.f64 (neg.f64 b) a))) |
(-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) 1/16 (/.f64 (*.f64 1 c) b)) (/.f64 b a)) |
(-.f64 (fma.f64 (/.f64 a (/.f64 (/.f64 (pow.f64 b 3) 16) (*.f64 c c))) 1/16 (/.f64 c b)) (/.f64 b a)) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
(fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/32 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6)))) (/.f64 (neg.f64 b) a)))) |
(+.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a -64))) -1/32 (/.f64 (neg.f64 b) a)) (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) 1/16 (/.f64 (*.f64 1 c) b))) |
(-.f64 (fma.f64 (/.f64 a (/.f64 (/.f64 (pow.f64 b 3) 16) (*.f64 c c))) 1/16 (fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) -64)) (*.f64 a a)) -1/32 (/.f64 c b))) (/.f64 b a)) |
(fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) -64)) (*.f64 a a)) -1/32 (-.f64 (fma.f64 (/.f64 a (/.f64 (/.f64 (pow.f64 b 3) 16) (*.f64 c c))) 1/16 (/.f64 c b)) (/.f64 b a))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b)) |
(-.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 1/2 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 (/.f64 1 c) a)))))) |
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (-.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) 1/2)) b)) |
(-.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 1/2 (*.f64 (/.f64 b (sqrt.f64 -4)) b)))) b) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 a 3) (pow.f64 c 3))))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 1/2 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 (/.f64 1 c) a))))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 a 3) (pow.f64 c 3))))) (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (-.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) 1/2)) b))) |
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (-.f64 (fma.f64 1/2 (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (sqrt.f64 (/.f64 1 (*.f64 c a)))) (*.f64 1/32 (/.f64 (pow.f64 b 4) (/.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))))))) b)) |
(*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) |
(*.f64 1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b)) |
(/.f64 (*.f64 c 1/2) (/.f64 (/.f64 b a) -4)) |
(*.f64 (/.f64 1/2 b) (*.f64 a (*.f64 c -4))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)))) (*.f64 1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b))) |
(fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3))) |
(fma.f64 1/2 (*.f64 (*.f64 -4 (/.f64 c b)) a) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (/.f64 (pow.f64 b 3) -2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)))) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (*.f64 1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b)))) |
(+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3)) (fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (/.f64 (*.f64 1/16 (pow.f64 c 3)) (/.f64 (/.f64 (pow.f64 b 5) -64) (pow.f64 a 3))))) |
(fma.f64 1/2 (*.f64 (*.f64 -4 (/.f64 c b)) a) (fma.f64 1/16 (*.f64 (*.f64 (pow.f64 a 3) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (/.f64 (pow.f64 b 3) -2)))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)))) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (sqrt.f64 -4) 8)) (pow.f64 (*.f64 (*.f64 -1/8 (*.f64 c c)) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a))) 2)) (pow.f64 b 7)) (*.f64 1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b))))) |
(+.f64 (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) (/.f64 -1/2 (/.f64 (pow.f64 b 7) (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) 2))))) (fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3)))) |
(+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (/.f64 (pow.f64 b 3) -2)) (fma.f64 1/2 (*.f64 (*.f64 -4 (/.f64 c b)) a) (fma.f64 1/16 (*.f64 (*.f64 (pow.f64 a 3) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (*.f64 (/.f64 -1/2 (pow.f64 b 7)) (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))))))) |
(*.f64 -2 b) |
(*.f64 b -2) |
(+.f64 (*.f64 -2 b) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))) |
(fma.f64 -2 b (*.f64 -1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b))) |
(fma.f64 -1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (*.f64 b -2)) |
(fma.f64 -1/2 (*.f64 (*.f64 -4 (/.f64 c b)) a) (*.f64 b -2)) |
(+.f64 (*.f64 -2 b) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))))) |
(fma.f64 -2 b (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (*.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)))) 1/8))) |
(fma.f64 b -2 (fma.f64 -1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (*.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) 1/8))) |
(fma.f64 -1/2 (*.f64 (*.f64 -4 (/.f64 c b)) a) (fma.f64 (/.f64 (*.f64 a 16) (/.f64 (/.f64 (pow.f64 b 3) (*.f64 c c)) a)) 1/8 (*.f64 b -2))) |
(+.f64 (*.f64 -2 b) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))) |
(fma.f64 -2 b (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)))) (*.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))))))) |
(fma.f64 b -2 (fma.f64 -1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) (*.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) 1/8)))) |
(fma.f64 b -2 (fma.f64 -1/16 (*.f64 (*.f64 (pow.f64 a 3) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -1/2 (*.f64 (*.f64 -4 (/.f64 c b)) a) (*.f64 (/.f64 (*.f64 a 16) (/.f64 (/.f64 (pow.f64 b 3) (*.f64 c c)) a)) 1/8)))) |
Compiled 17550 to 11319 computations (35.5% saved)
29 alts after pruning (27 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 748 | 21 | 769 |
| Fresh | 14 | 6 | 20 |
| Picked | 0 | 1 | 1 |
| Done | 3 | 1 | 4 |
| Total | 765 | 29 | 794 |
| Status | Error | Program |
|---|---|---|
| 59.4b | (*.f64 -1/2 (/.f64 b a)) | |
| 54.9b | (*.f64 (-.f64 b b) (/.f64 1/2 a)) | |
| 48.2b | (/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))) b) 1/2))) | |
| 46.2b | (/.f64 1 (/.f64 (neg.f64 a) b)) | |
| 46.2b | (*.f64 (*.f64 b -2) (/.f64 1/2 a)) | |
| ▶ | 39.1b | (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
| 49.3b | (/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a)) | |
| 49.9b | (/.f64 (exp.f64 (log.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)))) (*.f64 2 a)) | |
| ✓ | 46.2b | (/.f64 (neg.f64 b) a) |
| 39.7b | (/.f64 1 (/.f64 (neg.f64 b) c)) | |
| 44.8b | (/.f64 1 (/.f64 a (*.f64 (/.f64 1/2 (/.f64 b (*.f64 a (*.f64 c -4)))) 1/2))) | |
| 49.3b | (/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 3/2))) (*.f64 2 a)) | |
| 46.8b | (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a)) | |
| ▶ | 46.3b | (-.f64 (/.f64 c b) (/.f64 b a)) |
| ▶ | 46.0b | (pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1) |
| 46.5b | (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) | |
| ▶ | 39.4b | (/.f64 (neg.f64 c) b) |
| 42.8b | (/.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) (*.f64 2 a)) | |
| 48.3b | (*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (pow.f64 (pow.f64 (*.f64 c -4) 1/4) 2)) b) b) (/.f64 1/2 a)) | |
| 46.0b | (*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a)) | |
| 46.0b | (/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)) (*.f64 2 a)) | |
| 43.1b | (neg.f64 (/.f64 c (*.f64 a (/.f64 b a)))) | |
| 46.3b | (pow.f64 (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))) 3) | |
| 47.6b | (*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a)) | |
| 56.9b | (*.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (sqrt.f64 (+.f64 a a)))) | |
| 46.5b | (*.f64 (fma.f64 -1/2 (*.f64 (*.f64 -4 (/.f64 c b)) a) (*.f64 b -2)) (/.f64 1/2 a)) | |
| ▶ | 50.0b | (*.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (/.f64 1/2 a)) |
| 50.5b | (*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (cbrt.f64 (pow.f64 (*.f64 c -4) 3/2))) b) b) (/.f64 1/2 a)) | |
| ✓ | 48.3b | (*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a)) |
Compiled 835 to 610 computations (26.9% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
Compiled 29 to 9 computations (69% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | b | @ | -inf | (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
| 2.0ms | c | @ | 0 | (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
| 1.0ms | a | @ | 0 | (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
| 1.0ms | a | @ | inf | (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
| 1.0ms | b | @ | inf | (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
| 1× | batch-egg-rewrite |
| 535× | log-prod_binary64 |
| 369× | pow-prod-down_binary64 |
| 313× | fma-def_binary64 |
| 279× | pow2_binary64 |
| 211× | log-div_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 13 |
| 1 | 203 | 13 |
| 2 | 3082 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -2)) (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2) (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (/.f64 a b) 3) (pow.f64 (/.f64 b c) 3))) (fma.f64 (/.f64 b c) (+.f64 (/.f64 a b) (/.f64 b c)) (pow.f64 (/.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (/.f64 a b) 2) (pow.f64 (/.f64 b c) 2))) (+.f64 (/.f64 a b) (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2) (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 2)))))) |
| 1× | egg-herbie |
| 730× | associate-*l/_binary64 |
| 699× | associate-/r/_binary64 |
| 517× | unswap-sqr_binary64 |
| 493× | associate-*r/_binary64 |
| 343× | times-frac_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 1091 |
| 1 | 151 | 1067 |
| 2 | 576 | 1027 |
| 3 | 3325 | 1023 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 c b)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(*.f64 -1 (/.f64 c b)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(*.f64 -1 (/.f64 c b)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(*.f64 -1 (/.f64 c b)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b))) |
(-.f64 (/.f64 (neg.f64 (*.f64 c c)) (/.f64 (pow.f64 b 3) a)) (/.f64 c b)) |
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) |
(*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))) |
(-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b)))) |
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3) (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3))))) |
(-.f64 (*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a))) (*.f64 (*.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (/.f64 (*.f64 a (pow.f64 c 4)) (pow.f64 b 7))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))))) |
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))))) |
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))))) |
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b))) |
(-.f64 (/.f64 (neg.f64 (*.f64 c c)) (/.f64 (pow.f64 b 3) a)) (/.f64 c b)) |
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) |
(*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))) |
(-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b)))) |
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3) (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3))))) |
(-.f64 (*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a))) (*.f64 (*.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (/.f64 (*.f64 a (pow.f64 c 4)) (pow.f64 b 7))))) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b))) |
(-.f64 (/.f64 (neg.f64 (*.f64 c c)) (/.f64 (pow.f64 b 3) a)) (/.f64 c b)) |
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) |
(*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))) |
(-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b)))) |
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3) (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3))))) |
(-.f64 (*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a))) (*.f64 (*.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (/.f64 (*.f64 a (pow.f64 c 4)) (pow.f64 b 7))))) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b))) |
(-.f64 (/.f64 (neg.f64 (*.f64 c c)) (/.f64 (pow.f64 b 3) a)) (/.f64 c b)) |
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) |
(*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))) |
(-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b)))) |
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3) (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3))))) |
(-.f64 (*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a))) (*.f64 (*.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (/.f64 (*.f64 a (pow.f64 c 4)) (pow.f64 b 7))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))))) |
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))))) |
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
Compiled 11 to 5 computations (54.5% saved)
Compiled 19 to 6 computations (68.4% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (/.f64 1/2 a)) |
| ✓ | 31.1b | (sqrt.f64 (*.f64 b b)) |
Compiled 32 to 12 computations (62.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | -inf | (*.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (/.f64 1/2 a)) |
| 1.0ms | b | @ | -inf | (*.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (/.f64 1/2 a)) |
| 1.0ms | b | @ | inf | (sqrt.f64 (*.f64 b b)) |
| 0.0ms | b | @ | 0 | (sqrt.f64 (*.f64 b b)) |
| 0.0ms | b | @ | -inf | (sqrt.f64 (*.f64 b b)) |
| 1× | batch-egg-rewrite |
| 733× | pow1_binary64 |
| 688× | add-log-exp_binary64 |
| 687× | log1p-expm1-u_binary64 |
| 687× | expm1-log1p-u_binary64 |
| 673× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 11 |
| 1 | 199 | 2 |
| 2 | 2613 | 2 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 b b)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (/.f64 1/2 a)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 b 4))) (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 b 4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 b) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (cbrt.f64 b) 2)) (fabs.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 b 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b b) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 b) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 b 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 b)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x . b)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 b)))))) |
((#(struct:change #<rule egg-rr> (2) ((x . 0))))) |
| 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 | 8 | 64 |
| 1 | 13 | 64 |
| 2 | 19 | 64 |
| 3 | 25 | 64 |
| 4 | 30 | 64 |
| 5 | 40 | 64 |
| 6 | 49 | 64 |
| 7 | 62 | 64 |
| 8 | 76 | 64 |
| 1× | saturated |
| Inputs |
|---|
b |
b |
b |
b |
b |
b |
b |
b |
(*.f64 -1 b) |
(*.f64 -1 b) |
(*.f64 -1 b) |
(*.f64 -1 b) |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
| Outputs |
|---|
b |
b |
b |
b |
b |
b |
b |
b |
(*.f64 -1 b) |
(neg.f64 b) |
(*.f64 -1 b) |
(neg.f64 b) |
(*.f64 -1 b) |
(neg.f64 b) |
(*.f64 -1 b) |
(neg.f64 b) |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) |
| ✓ | 0.2b | (pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1) |
| ✓ | 14.2b | (sqrt.f64 (*.f64 (*.f64 c -4) a)) |
Compiled 60 to 40 computations (33.3% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | b | @ | inf | (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) |
| 10.0ms | c | @ | inf | (pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1) |
| 8.0ms | c | @ | -inf | (pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1) |
| 8.0ms | a | @ | inf | (pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1) |
| 6.0ms | a | @ | -inf | (pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1) |
| 1× | batch-egg-rewrite |
| 875× | prod-diff_binary64 |
| 744× | log-prod_binary64 |
| 353× | fma-def_binary64 |
| 258× | expm1-udef_binary64 |
| 258× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 48 |
| 1 | 304 | 45 |
| 2 | 4018 | 45 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (*.f64 c -4) a)) |
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1) |
(/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) |
| Outputs |
|---|
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(cbrt.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a -2)) 2) (*.f64 (cbrt.f64 (*.f64 a -2)) (/.f64 1 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) (sqrt.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a -2)) (*.f64 (sqrt.f64 (*.f64 a -2)) (/.f64 1 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a 2) (/.f64 1 (neg.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (*.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a 1) (/.f64 -2 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a -2)) 2) 1) (/.f64 (cbrt.f64 (*.f64 a -2)) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 a -2)) 1) (/.f64 (sqrt.f64 (*.f64 a -2)) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2)) (/.f64 -2 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2)) (/.f64 a (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2)) (/.f64 (*.f64 a -2) (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a -2)) 2) (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2)) (cbrt.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 a -2)) (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2)) (/.f64 (sqrt.f64 (*.f64 a -2)) (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) (/.f64 -2 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) (/.f64 a (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) (/.f64 (*.f64 a -2) (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a -2)) 2) (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) (/.f64 (cbrt.f64 (*.f64 a -2)) (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a -2) (-.f64 (pow.f64 b 3) (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2))) (fma.f64 b b (fma.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a -2) (-.f64 (*.f64 b b) (*.f64 c (*.f64 -4 a)))) (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 a -2) (neg.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 a -2) 3) (pow.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) 1)))))) |
| 1× | egg-herbie |
| 679× | fma-def_binary64 |
| 642× | times-frac_binary64 |
| 529× | associate-*r*_binary64 |
| 517× | associate-*l*_binary64 |
| 396× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 124 | 965 |
| 1 | 389 | 746 |
| 2 | 1524 | 688 |
| 3 | 7725 | 688 |
| 1× | node limit |
| Inputs |
|---|
(*.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 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4))))) (pow.f64 b 2))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4))))) (pow.f64 b 3)) (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 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4))))) (pow.f64 b 2)))))) |
(*.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 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) b)))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) a)) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) a)) (pow.f64 (sqrt.f64 -4) 3))) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 -4) (+.f64 (*.f64 -1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))))))))) (pow.f64 b 2))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) b))))) |
(*.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 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) a)) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) a)) (pow.f64 (sqrt.f64 -4) 3))) (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 -4) (+.f64 (*.f64 -1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))))))) (pow.f64 b 2))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)))))) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -2 (/.f64 a b)) |
(*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))) |
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))) |
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3)))))) |
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3))))))) |
(*.f64 -2 (/.f64 a b)) |
(+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b)))) |
(+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b))))) |
(*.f64 -2 (/.f64 a b)) |
(+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b)))) |
(+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b))))) |
(*.f64 -2 (/.f64 a b)) |
| Outputs |
|---|
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 (*.f64 -1/2 b) a) |
(/.f64 -1/2 (/.f64 a b)) |
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a)) |
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (/.f64 -1/2 (/.f64 a b))) |
(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 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4))))) (pow.f64 b 2))))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1 (sqrt.f64 -4))) 0) (*.f64 b b))))) |
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (fma.f64 -1/2 (/.f64 b a) (*.f64 b (*.f64 b 0)))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) 0)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4))))) (pow.f64 b 3)) (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 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4))))) (pow.f64 b 2)))))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1 (sqrt.f64 -4))) 0) (*.f64 b b))))) |
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (fma.f64 -1/2 (/.f64 b a) (*.f64 b (*.f64 b 0)))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) 0)) |
(*.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 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (/.f64 -1/2 (/.f64 a b))) |
(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 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) b)))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1 (sqrt.f64 -4))) 0) (*.f64 b b))))) |
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (fma.f64 -1/2 (/.f64 b a) (*.f64 b (*.f64 b 0)))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) 0)) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) a)) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) a)) (pow.f64 (sqrt.f64 -4) 3))) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 -4) (+.f64 (*.f64 -1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))))))))) (pow.f64 b 2))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) b))))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1 (sqrt.f64 -4))) 0) (*.f64 b b))))) |
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (fma.f64 -1/2 (/.f64 b a) (*.f64 b (*.f64 b 0)))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) 0)) |
(*.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 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (/.f64 -1/2 (/.f64 a b))) |
(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 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1 (sqrt.f64 -4))) 0) (*.f64 b b))))) |
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (fma.f64 -1/2 (/.f64 b a) (*.f64 b (*.f64 b 0)))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) 0)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) a)) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) a)) (pow.f64 (sqrt.f64 -4) 3))) (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 -4) (+.f64 (*.f64 -1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))))))) (pow.f64 b 2))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)))))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1 (sqrt.f64 -4))) 0) (*.f64 b b))))) |
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (fma.f64 -1/2 (/.f64 b a) (*.f64 b (*.f64 b 0)))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) 0)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 (*.f64 -1/2 b) a) |
(/.f64 -1/2 (/.f64 a b)) |
(*.f64 -2 (/.f64 a b)) |
(*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))) |
(*.f64 2 (*.f64 (/.f64 1 (sqrt.f64 -4)) (sqrt.f64 (/.f64 a c)))) |
(*.f64 2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4))) |
(*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 2 (sqrt.f64 -4))) |
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))) |
(*.f64 2 (+.f64 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 (/.f64 1 (sqrt.f64 -4)) (sqrt.f64 (/.f64 a c))))) |
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b c))) |
(fma.f64 (sqrt.f64 (/.f64 a c)) (/.f64 2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b c))) |
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3)))))) |
(fma.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 2 (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -4)) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (/.f64 (*.f64 b b) (pow.f64 (sqrt.f64 -4) 3)))))) |
(fma.f64 2 (+.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (pow.f64 c 3))) (*.f64 (/.f64 b -4) (/.f64 b (sqrt.f64 -4))))) (*.f64 -1/2 (/.f64 b c))) |
(fma.f64 -1/2 (/.f64 b c) (*.f64 2 (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (*.f64 (/.f64 b -4) (/.f64 b (sqrt.f64 -4))) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4))))) |
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3))))))) |
(fma.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 2 (/.f64 (pow.f64 b 3) (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4))) (*.f64 2 (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -4)) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (/.f64 (*.f64 b b) (pow.f64 (sqrt.f64 -4) 3))))))) |
(+.f64 (*.f64 -1/2 (/.f64 b c)) (*.f64 2 (+.f64 (+.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (pow.f64 c 3))) (*.f64 (/.f64 b -4) (/.f64 b (sqrt.f64 -4))))) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 c (*.f64 a 16))))))) |
(fma.f64 -1/2 (/.f64 b c) (fma.f64 2 (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (*.f64 (/.f64 b -4) (/.f64 b (sqrt.f64 -4))) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4))) (*.f64 (/.f64 (pow.f64 b 3) (*.f64 c c)) (/.f64 1/8 a)))) |
(*.f64 -2 (/.f64 a b)) |
(+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b))) |
(*.f64 -2 (+.f64 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b))) (/.f64 a b))) |
(*.f64 -2 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 a b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b)))) |
(fma.f64 -2 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a)))) (*.f64 -2 (+.f64 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b))) (/.f64 a b)))) |
(*.f64 -2 (+.f64 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 a b)) (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 a (*.f64 a -4))))) |
(fma.f64 -2 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 a b)) (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 8 (*.f64 a a)))) |
(+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b))))) |
(fma.f64 -2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4))) (fma.f64 -2 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a)))) (*.f64 -2 (+.f64 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b))) (/.f64 a b))))) |
(fma.f64 -2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 (*.f64 (sqrt.f64 -4) -4) (pow.f64 b 4))) (*.f64 -2 (+.f64 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 a b)) (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 a (*.f64 a -4)))))) |
(fma.f64 -2 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 a b)) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 8 (/.f64 (pow.f64 b 4) (sqrt.f64 -4))) (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 8 (*.f64 a a))))) |
(*.f64 -2 (/.f64 a b)) |
(+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b))) |
(*.f64 -2 (+.f64 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b))) (/.f64 a b))) |
(*.f64 -2 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 a b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b)))) |
(fma.f64 -2 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a)))) (*.f64 -2 (+.f64 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b))) (/.f64 a b)))) |
(*.f64 -2 (+.f64 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 a b)) (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 a (*.f64 a -4))))) |
(fma.f64 -2 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 a b)) (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 8 (*.f64 a a)))) |
(+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b))))) |
(fma.f64 -2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4))) (fma.f64 -2 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a)))) (*.f64 -2 (+.f64 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b))) (/.f64 a b))))) |
(fma.f64 -2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 (*.f64 (sqrt.f64 -4) -4) (pow.f64 b 4))) (*.f64 -2 (+.f64 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 a b)) (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 a (*.f64 a -4)))))) |
(fma.f64 -2 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 a b)) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 8 (/.f64 (pow.f64 b 4) (sqrt.f64 -4))) (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 8 (*.f64 a a))))) |
(*.f64 -2 (/.f64 a b)) |
Compiled 4844 to 3312 computations (31.6% saved)
36 alts after pruning (31 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 228 | 14 | 242 |
| Fresh | 5 | 17 | 22 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 5 | 6 |
| Total | 235 | 36 | 271 |
| Status | Error | Program |
|---|---|---|
| 46.0b | (/.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a) -2) | |
| 49.3b | (pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a))))) -1) | |
| 46.2b | (/.f64 1 (/.f64 (neg.f64 a) b)) | |
| ▶ | 46.0b | (-.f64 (/.f64 b (*.f64 a -2)) (/.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) (*.f64 a -2))) |
| 44.5b | (*.f64 (-.f64 (*.f64 (fabs.f64 (pow.f64 (cbrt.f64 b) 2)) (fabs.f64 (cbrt.f64 b))) b) (/.f64 1/2 a)) | |
| 48.1b | (*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c)) | |
| ✓ | 50.0b | (*.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (/.f64 1/2 a)) |
| 46.2b | (*.f64 (*.f64 b -2) (/.f64 1/2 a)) | |
| ✓ | 39.1b | (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
| 49.3b | (/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a)) | |
| 49.9b | (/.f64 (exp.f64 (log.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)))) (*.f64 2 a)) | |
| 51.0b | (exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) 3)) | |
| ✓ | 46.2b | (/.f64 (neg.f64 b) a) |
| 39.7b | (/.f64 1 (/.f64 (neg.f64 b) c)) | |
| 44.8b | (/.f64 1 (/.f64 a (*.f64 (/.f64 1/2 (/.f64 b (*.f64 a (*.f64 c -4)))) 1/2))) | |
| 49.3b | (/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 3/2))) (*.f64 2 a)) | |
| 46.0b | (/.f64 1 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) | |
| 50.5b | (*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (cbrt.f64 (pow.f64 (*.f64 c -4) 3/2))) b) b) (/.f64 1/2 a)) | |
| ▶ | 62.3b | (/.f64 b a) |
| ▶ | 46.8b | (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a)) |
| ✓ | 46.3b | (-.f64 (/.f64 c b) (/.f64 b a)) |
| 50.9b | (exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) | |
| 46.5b | (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) | |
| ✓ | 39.4b | (/.f64 (neg.f64 c) b) |
| 42.8b | (/.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) (*.f64 2 a)) | |
| 53.7b | (pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1) | |
| 48.3b | (*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (pow.f64 (pow.f64 (*.f64 c -4) 1/4) 2)) b) b) (/.f64 1/2 a)) | |
| 46.0b | (*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a)) | |
| ▶ | 46.0b | (/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)) (*.f64 2 a)) |
| 43.1b | (neg.f64 (/.f64 c (*.f64 a (/.f64 b a)))) | |
| 46.3b | (pow.f64 (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))) 3) | |
| 54.9b | 0 | |
| 49.5b | (/.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 -4 a))) (*.f64 (*.f64 a -2) (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b))) | |
| 46.5b | (*.f64 (fma.f64 -1/2 (*.f64 (*.f64 -4 (/.f64 c b)) a) (*.f64 b -2)) (/.f64 1/2 a)) | |
| ▶ | 39.4b | (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3) |
| 39.4b | (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -3) |
Compiled 1011 to 743 computations (26.5% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) |
| ✓ | 0.5b | (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3) |
| ✓ | 18.7b | (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) |
Compiled 51 to 15 computations (70.6% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 46.0ms | a | @ | -inf | (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3) |
| 41.0ms | a | @ | 0 | (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3) |
| 34.0ms | c | @ | -inf | (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) |
| 25.0ms | c | @ | inf | (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3) |
| 10.0ms | c | @ | 0 | (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3) |
| 1× | batch-egg-rewrite |
| 632× | log-prod_binary64 |
| 350× | fma-def_binary64 |
| 337× | pow2_binary64 |
| 229× | pow1/3_binary64 |
| 229× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 45 |
| 1 | 272 | 40 |
| 2 | 3746 | 40 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) |
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3) |
(/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) 1/6) (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) 2)) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) 1/6) (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 a b) 2) (pow.f64 (/.f64 b c) 2))) (cbrt.f64 (+.f64 (/.f64 a b) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 a b) 3) (pow.f64 (/.f64 b c) 3))) (cbrt.f64 (fma.f64 (/.f64 b c) (+.f64 (/.f64 a b) (/.f64 b c)) (pow.f64 (/.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 a c (neg.f64 (*.f64 b b)))) (cbrt.f64 (*.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2) (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2)) (*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -1/2) (*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -1/2) (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))) (sqrt.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2) 1) (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2) (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -1/2)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (/.f64 a b) (/.f64 b c)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2) (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (pow.f64 (neg.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2)) (neg.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2) 1) (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2) -1) (neg.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2)) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -1/2) (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) 2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/3 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/3 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 1)))))) |
| 1× | egg-herbie |
| 750× | distribute-lft-in_binary64 |
| 747× | distribute-rgt-in_binary64 |
| 380× | associate-*r*_binary64 |
| 377× | fma-def_binary64 |
| 303× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 394 | 5791 |
| 1 | 1359 | 5546 |
| 2 | 5376 | 5363 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 (/.f64 (*.f64 1 b) c) 1/3) (cbrt.f64 -1)) |
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(pow.f64 (/.f64 a b) 1/3) |
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(pow.f64 (/.f64 a b) 1/3) |
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(*.f64 (pow.f64 1 1/3) (/.f64 b a)) |
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(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 31)) (pow.f64 a 22)) 1/9)) (*.f64 -1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 31)) (pow.f64 a 22)) 1/9))) c)) (*.f64 (pow.f64 1 1/3) (/.f64 b a))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 31)) (pow.f64 a 22)) 1/9)) (*.f64 -1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 31)) (pow.f64 a 22)) 1/9))) c)) (+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 b a)) (+.f64 (*.f64 (/.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 a) b) 1/3) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 53)) (pow.f64 a 35)) 1/9)) (*.f64 -1 (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))) (*.f64 1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 50)) (pow.f64 a 32)) 1/9))) (pow.f64 c 2)) (pow.f64 (/.f64 (*.f64 1 b) a) 1/3)) (+.f64 (*.f64 -1/3 (*.f64 (/.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 53)) (pow.f64 a 35)) 1/9)) (*.f64 -1 (/.f64 (pow.f64 b 5) (pow.f64 a 3)))) (pow.f64 c 2)) (pow.f64 1 1/3))) (*.f64 2/9 (*.f64 (/.f64 1 (pow.f64 c 2)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 53)) (pow.f64 a 35)) 1/9))))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 31)) (pow.f64 a 22)) 1/9)) (*.f64 -1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 31)) (pow.f64 a 22)) 1/9))) c)) (+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 b a)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 a) b) 1/3) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 53)) (pow.f64 a 35)) 1/9)) (*.f64 -1 (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))) (*.f64 1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 50)) (pow.f64 a 32)) 1/9))) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 25)) (pow.f64 a 16)) 1/9))) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 b) a) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 a) b) 1/3) (+.f64 (/.f64 (pow.f64 b 7) (pow.f64 a 4)) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 22)) (pow.f64 a 13)) 1/9) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 53)) (pow.f64 a 35)) 1/9)) (*.f64 -1 (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))) (*.f64 -1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 25)) (pow.f64 a 16)) 1/3)))))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 19)) (pow.f64 a 10)) 1/9) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 53)) (pow.f64 a 35)) 1/9)) (*.f64 -1 (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 22)) (pow.f64 a 13)) 1/9) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 53)) (pow.f64 a 35)) 1/9)) (*.f64 -1 (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (/.f64 (pow.f64 b 7) (pow.f64 a 4)) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 22)) (pow.f64 a 13)) 1/9) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 53)) (pow.f64 a 35)) 1/9)) (*.f64 -1 (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))) (*.f64 -1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 25)) (pow.f64 a 16)) 1/3))))))))) (pow.f64 c 3))) (+.f64 (*.f64 (/.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 a) b) 1/3) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 53)) (pow.f64 a 35)) 1/9)) (*.f64 -1 (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))) (*.f64 1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 50)) (pow.f64 a 32)) 1/9))) (pow.f64 c 2)) (pow.f64 (/.f64 (*.f64 1 b) a) 1/3)) (+.f64 (*.f64 -1/3 (*.f64 (/.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 53)) (pow.f64 a 35)) 1/9)) (*.f64 -1 (/.f64 (pow.f64 b 5) (pow.f64 a 3)))) (pow.f64 c 2)) (pow.f64 1 1/3))) (*.f64 2/9 (*.f64 (/.f64 1 (pow.f64 c 2)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 53)) (pow.f64 a 35)) 1/9)))))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 c 1) b) 1/3) (cbrt.f64 -1)) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 16) (pow.f64 1 4)) (pow.f64 b 25)) 1/9) (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (*.f64 (pow.f64 (/.f64 (*.f64 c 1) b) 1/3) (cbrt.f64 -1))) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 2)) (pow.f64 c 2)) 1/3) (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 35) (pow.f64 1 4)) (pow.f64 b 53)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (pow.f64 a 2)) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 16) (pow.f64 1 4)) (pow.f64 b 25)) 1/9) (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (*.f64 (pow.f64 (/.f64 (*.f64 c 1) b) 1/3) (cbrt.f64 -1)))) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 2)) (pow.f64 c 2)) 1/3) (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 35) (pow.f64 1 4)) (pow.f64 b 53)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (pow.f64 a 2)) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 16) (pow.f64 1 4)) (pow.f64 b 25)) 1/9) (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (+.f64 (*.f64 -1/3 (*.f64 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 16) 1) (pow.f64 b 25)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 13) (pow.f64 1 4)) (pow.f64 b 22)) 1/9) (*.f64 (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 35) (pow.f64 1 4)) (pow.f64 b 53)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3)))))) (pow.f64 a 3)) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 2)) (pow.f64 c 2)) 1/3))) (*.f64 (pow.f64 (/.f64 (*.f64 c 1) b) 1/3) (cbrt.f64 -1))))) |
(pow.f64 (/.f64 b a) 1/3) |
(+.f64 (pow.f64 (/.f64 b a) 1/3) (*.f64 1/3 (*.f64 (/.f64 1 c) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 25)) (pow.f64 a 16)) 1/9)))) |
(+.f64 (pow.f64 (/.f64 b a) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (/.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 53)) (pow.f64 a 35)) 1/9)) (*.f64 -1 (/.f64 (pow.f64 b 5) (pow.f64 a 3)))) (pow.f64 c 2)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 a 2)) (pow.f64 b 2)) 1/3))) (*.f64 1/3 (*.f64 (/.f64 1 c) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 25)) (pow.f64 a 16)) 1/9))))) |
(+.f64 (*.f64 -1/3 (*.f64 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 7) (pow.f64 a 4))) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 22)) (pow.f64 a 13)) 1/9) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 53)) (pow.f64 a 35)) 1/9)) (*.f64 -1 (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))) (*.f64 1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 25)) (pow.f64 a 16)) 1/3)))) (pow.f64 c 3)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 a 2)) (pow.f64 b 2)) 1/3))) (+.f64 (pow.f64 (/.f64 b a) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (/.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 53)) (pow.f64 a 35)) 1/9)) (*.f64 -1 (/.f64 (pow.f64 b 5) (pow.f64 a 3)))) (pow.f64 c 2)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 a 2)) (pow.f64 b 2)) 1/3))) (*.f64 1/3 (*.f64 (/.f64 1 c) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 25)) (pow.f64 a 16)) 1/9)))))) |
(pow.f64 (/.f64 b a) 1/3) |
(+.f64 (pow.f64 (/.f64 b a) 1/3) (*.f64 1/3 (*.f64 (/.f64 1 c) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 25)) (pow.f64 a 16)) 1/9)))) |
(+.f64 (pow.f64 (/.f64 b a) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (/.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 53)) (pow.f64 a 35)) 1/9)) (*.f64 -1 (/.f64 (pow.f64 b 5) (pow.f64 a 3)))) (pow.f64 c 2)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 a 2)) (pow.f64 b 2)) 1/3))) (*.f64 1/3 (*.f64 (/.f64 1 c) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 25)) (pow.f64 a 16)) 1/9))))) |
(+.f64 (pow.f64 (/.f64 b a) 1/3) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (+.f64 (/.f64 (pow.f64 b 7) (pow.f64 a 4)) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 22)) (pow.f64 a 13)) 1/9) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 53)) (pow.f64 a 35)) 1/9)) (*.f64 -1 (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))) (*.f64 -1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 25)) (pow.f64 a 16)) 1/3)))) (pow.f64 c 3)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 a 2)) (pow.f64 b 2)) 1/3))) (+.f64 (*.f64 -1/3 (*.f64 (/.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 53)) (pow.f64 a 35)) 1/9)) (*.f64 -1 (/.f64 (pow.f64 b 5) (pow.f64 a 3)))) (pow.f64 c 2)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 a 2)) (pow.f64 b 2)) 1/3))) (*.f64 1/3 (*.f64 (/.f64 1 c) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 25)) (pow.f64 a 16)) 1/9)))))) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (*.f64 1 b) c) 1/3) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 (/.f64 b c)) (cbrt.f64 -1)) |
(+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 b) c) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 1 4)) (pow.f64 b 11)) 1/9) (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))))) |
(fma.f64 (cbrt.f64 (/.f64 b c)) (cbrt.f64 -1) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (*.f64 c c) (pow.f64 b 11)) 1/18) (pow.f64 (/.f64 (*.f64 c c) (pow.f64 b 11)) 1/18)) (*.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))) |
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 c (/.f64 (pow.f64 b 11) c)) 1/18) (pow.f64 (/.f64 c (/.f64 (pow.f64 b 11) c)) 1/18)) (*.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 (cbrt.f64 (/.f64 b c)) (cbrt.f64 -1))) |
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (*.f64 c (/.f64 c (pow.f64 b 11))) 1/18) (pow.f64 (*.f64 c (/.f64 c (pow.f64 b 11))) 1/18)) (*.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 (cbrt.f64 (/.f64 b c)) (cbrt.f64 -1))) |
(+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 b) c) 1/3) (cbrt.f64 -1)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 1 4)) (pow.f64 b 11)) 1/9) (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 7) (pow.f64 1 4)) (pow.f64 b 25)) 1/9) (*.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3)))))) |
(fma.f64 (cbrt.f64 (/.f64 b c)) (cbrt.f64 -1) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (*.f64 c c) (pow.f64 b 11)) 1/18) (pow.f64 (/.f64 (*.f64 c c) (pow.f64 b 11)) 1/18)) (*.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 c 7) (pow.f64 b 25)) 1/18) (pow.f64 (/.f64 (pow.f64 c 7) (pow.f64 b 25)) 1/18)) (*.f64 (*.f64 a a) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)))))))) |
(fma.f64 (cbrt.f64 (/.f64 b c)) (cbrt.f64 -1) (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 c 7) (pow.f64 b 25)) 1/18) a) (*.f64 (pow.f64 (/.f64 (pow.f64 c 7) (pow.f64 b 25)) 1/18) a))) (*.f64 (*.f64 (pow.f64 (/.f64 c (/.f64 (pow.f64 b 11) c)) 1/18) (pow.f64 (/.f64 c (/.f64 (pow.f64 b 11) c)) 1/18)) (*.f64 (*.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) 1/3)))) |
(fma.f64 (cbrt.f64 (/.f64 b c)) (cbrt.f64 -1) (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 c 7) (pow.f64 b 25)) 1/18) a) (*.f64 (pow.f64 (/.f64 (pow.f64 c 7) (pow.f64 b 25)) 1/18) a))) (*.f64 (*.f64 (pow.f64 (*.f64 c (/.f64 c (pow.f64 b 11))) 1/18) (pow.f64 (*.f64 c (/.f64 c (pow.f64 b 11))) 1/18)) (*.f64 (*.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) 1/3)))) |
(+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 b) c) 1/3) (cbrt.f64 -1)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 1 4)) (pow.f64 b 11)) 1/9) (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) 1) (pow.f64 b 2)) 1/3) (/.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 11)) 1/3) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) 1) (pow.f64 b 11)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 7) (pow.f64 1 4)) (pow.f64 b 25)) 1/9) (*.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3))))))) |
(fma.f64 (cbrt.f64 (/.f64 b c)) (cbrt.f64 -1) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (*.f64 c c) (pow.f64 b 11)) 1/18) (pow.f64 (/.f64 (*.f64 c c) (pow.f64 b 11)) 1/18)) (*.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 (*.f64 c c) (*.f64 b b))) (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (fma.f64 -2/9 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 (*.f64 c c) (pow.f64 b 11)))) (*.f64 (*.f64 1/27 (cbrt.f64 (/.f64 (*.f64 c c) (pow.f64 b 11)))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))) (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 c 7) (pow.f64 b 25)) 1/18) (pow.f64 (/.f64 (pow.f64 c 7) (pow.f64 b 25)) 1/18)) (*.f64 (*.f64 a a) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))))))) |
(fma.f64 (cbrt.f64 (/.f64 b c)) (cbrt.f64 -1) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 c (/.f64 (pow.f64 b 11) c)) 1/18) (pow.f64 (/.f64 c (/.f64 (pow.f64 b 11) c)) 1/18)) (*.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 c 7) (pow.f64 b 25)) 1/18) a) (*.f64 (pow.f64 (/.f64 (pow.f64 c 7) (pow.f64 b 25)) 1/18) a))) (*.f64 (cbrt.f64 (*.f64 (/.f64 c b) (/.f64 c b))) (*.f64 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 (/.f64 (cbrt.f64 (/.f64 c (/.f64 (pow.f64 b 11) c))) (pow.f64 (cbrt.f64 -1) 2)) -5/27)) -1/3))))) |
(fma.f64 (cbrt.f64 (/.f64 b c)) (cbrt.f64 -1) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (*.f64 c (/.f64 c (pow.f64 b 11))) 1/18) (pow.f64 (*.f64 c (/.f64 c (pow.f64 b 11))) 1/18)) (*.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 c 7) (pow.f64 b 25)) 1/18) a) (*.f64 (pow.f64 (/.f64 (pow.f64 c 7) (pow.f64 b 25)) 1/18) a))) (*.f64 (cbrt.f64 (*.f64 c (/.f64 c (*.f64 b b)))) (*.f64 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 (/.f64 (cbrt.f64 (*.f64 c (/.f64 c (pow.f64 b 11)))) (pow.f64 (cbrt.f64 -1) 2)) -5/27)) -1/3))))) |
(pow.f64 (/.f64 a b) 1/3) |
(cbrt.f64 (/.f64 a b)) |
(+.f64 (*.f64 -1/3 (*.f64 (/.f64 1 c) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 11)) (pow.f64 a 2)) 1/9))) (pow.f64 (/.f64 a b) 1/3)) |
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(pow.f64 (/.f64 a b) 1/3) |
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(+.f64 (cbrt.f64 (/.f64 b a)) (fma.f64 -1/3 (*.f64 (/.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 b 53) (pow.f64 a 35)) 1/18) (pow.f64 (/.f64 (pow.f64 b 53) (pow.f64 a 35)) 1/18)) (/.f64 (neg.f64 (pow.f64 b 5)) (pow.f64 a 3))) (*.f64 c c)) (cbrt.f64 (*.f64 (/.f64 a b) (/.f64 a b)))) (*.f64 (*.f64 (/.f64 1/3 c) (pow.f64 (/.f64 (pow.f64 b 25) (pow.f64 a 16)) 1/18)) (pow.f64 (/.f64 (pow.f64 b 25) (pow.f64 a 16)) 1/18)))) |
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(+.f64 (pow.f64 (/.f64 b a) 1/3) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (+.f64 (/.f64 (pow.f64 b 7) (pow.f64 a 4)) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 22)) (pow.f64 a 13)) 1/9) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 53)) (pow.f64 a 35)) 1/9)) (*.f64 -1 (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))) (*.f64 -1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 25)) (pow.f64 a 16)) 1/3)))) (pow.f64 c 3)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 a 2)) (pow.f64 b 2)) 1/3))) (+.f64 (*.f64 -1/3 (*.f64 (/.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 53)) (pow.f64 a 35)) 1/9)) (*.f64 -1 (/.f64 (pow.f64 b 5) (pow.f64 a 3)))) (pow.f64 c 2)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 a 2)) (pow.f64 b 2)) 1/3))) (*.f64 1/3 (*.f64 (/.f64 1 c) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 25)) (pow.f64 a 16)) 1/9)))))) |
(+.f64 (cbrt.f64 (/.f64 b a)) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 (*.f64 a a) (*.f64 b b))) (/.f64 (+.f64 (/.f64 (pow.f64 b 7) (pow.f64 a 4)) (fma.f64 2/3 (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 b 53) (pow.f64 a 35)) 1/18) (pow.f64 (/.f64 (pow.f64 b 53) (pow.f64 a 35)) 1/18)) (neg.f64 (/.f64 (pow.f64 b 5) (pow.f64 a 3)))) (*.f64 (pow.f64 (/.f64 (pow.f64 b 22) (pow.f64 a 13)) 1/18) (pow.f64 (/.f64 (pow.f64 b 22) (pow.f64 a 13)) 1/18))) (*.f64 -1/27 (cbrt.f64 (/.f64 (pow.f64 b 25) (pow.f64 a 16)))))) (pow.f64 c 3))) (fma.f64 -1/3 (*.f64 (/.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 b 53) (pow.f64 a 35)) 1/18) (pow.f64 (/.f64 (pow.f64 b 53) (pow.f64 a 35)) 1/18)) (neg.f64 (/.f64 (pow.f64 b 5) (pow.f64 a 3)))) (*.f64 c c)) (cbrt.f64 (/.f64 (*.f64 a a) (*.f64 b b)))) (*.f64 (*.f64 1/3 (/.f64 1 c)) (*.f64 (pow.f64 (/.f64 (pow.f64 b 25) (pow.f64 a 16)) 1/18) (pow.f64 (/.f64 (pow.f64 b 25) (pow.f64 a 16)) 1/18)))))) |
(+.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 a b) (/.f64 a b))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 (/.f64 (pow.f64 b 7) (pow.f64 a 4)) (fma.f64 (*.f64 (*.f64 2/3 (pow.f64 (/.f64 (pow.f64 b 22) (pow.f64 a 13)) 1/18)) (pow.f64 (/.f64 (pow.f64 b 22) (pow.f64 a 13)) 1/18)) (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 b 53) (pow.f64 a 35)) 1/18) (pow.f64 (/.f64 (pow.f64 b 53) (pow.f64 a 35)) 1/18)) (/.f64 (neg.f64 (pow.f64 b 5)) (pow.f64 a 3))) (*.f64 -1/27 (cbrt.f64 (/.f64 (pow.f64 b 25) (pow.f64 a 16)))))) (pow.f64 c 3))) (*.f64 -1/3 (/.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 b 53) (pow.f64 a 35)) 1/18) (pow.f64 (/.f64 (pow.f64 b 53) (pow.f64 a 35)) 1/18)) (/.f64 (neg.f64 (pow.f64 b 5)) (pow.f64 a 3))) (*.f64 c c))))) (fma.f64 (/.f64 1/3 c) (*.f64 (pow.f64 (/.f64 (pow.f64 b 25) (pow.f64 a 16)) 1/18) (pow.f64 (/.f64 (pow.f64 b 25) (pow.f64 a 16)) 1/18)) (cbrt.f64 (/.f64 b a)))) |
(+.f64 (*.f64 (cbrt.f64 (*.f64 a (/.f64 a (*.f64 b b)))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 (/.f64 (pow.f64 b 7) (pow.f64 a 4)) (fma.f64 (*.f64 (*.f64 2/3 (pow.f64 (/.f64 (pow.f64 b 22) (pow.f64 a 13)) 1/18)) (pow.f64 (/.f64 (pow.f64 b 22) (pow.f64 a 13)) 1/18)) (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 b 53) (pow.f64 a 35)) 1/18) (pow.f64 (/.f64 (pow.f64 b 53) (pow.f64 a 35)) 1/18)) (/.f64 (neg.f64 (pow.f64 b 5)) (pow.f64 a 3))) (*.f64 -1/27 (cbrt.f64 (/.f64 (pow.f64 b 25) (pow.f64 a 16)))))) (pow.f64 c 3))) (*.f64 -1/3 (/.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 b 53) (pow.f64 a 35)) 1/18) (pow.f64 (/.f64 (pow.f64 b 53) (pow.f64 a 35)) 1/18)) (/.f64 (neg.f64 (pow.f64 b 5)) (pow.f64 a 3))) (*.f64 c c))))) (fma.f64 (/.f64 1/3 c) (*.f64 (pow.f64 (/.f64 (pow.f64 b 25) (pow.f64 a 16)) 1/18) (pow.f64 (/.f64 (pow.f64 b 25) (pow.f64 a 16)) 1/18)) (cbrt.f64 (/.f64 b a)))) |
Compiled 8 to 4 computations (50% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) |
| ✓ | 5.4b | (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a)) |
| ✓ | 5.5b | (*.f64 (/.f64 2 b) (*.f64 c a)) |
Compiled 59 to 30 computations (49.2% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | b | @ | inf | (*.f64 (/.f64 2 b) (*.f64 c a)) |
| 1.0ms | b | @ | 0 | (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a)) |
| 1.0ms | b | @ | inf | (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a)) |
| 1.0ms | c | @ | 0 | (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a)) |
| 1.0ms | a | @ | 0 | (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a)) |
| 1× | batch-egg-rewrite |
| 768× | log-prod_binary64 |
| 636× | fma-def_binary64 |
| 392× | fma-neg_binary64 |
| 276× | expm1-udef_binary64 |
| 276× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 48 |
| 1 | 302 | 48 |
| 2 | 4276 | 48 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 2 b) (*.f64 c a)) |
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a)) |
(-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 2 b) (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) c) (/.f64 2 b))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) c) (/.f64 2 b))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) c) (/.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) c) (/.f64 2 b)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) c) (/.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 2 b) (*.f64 c a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 b (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c a) (*.f64 b 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 2 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 c a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 c a))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 c a)) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 c a)) (cbrt.f64 (*.f64 b b))) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 c a)) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (*.f64 c a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c a) -2) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 2 b) (*.f64 c a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 2 b) (*.f64 c a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a) c) (/.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 2 b) (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 2 b) (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 2 b) (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 2 b) (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 b) (*.f64 c a))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (+.f64 b b)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 (/.f64 2 b) (*.f64 c a) (neg.f64 b)) (/.f64 1/2 a)) (*.f64 (neg.f64 b) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 a) (fma.f64 (/.f64 2 b) (*.f64 c a) (neg.f64 b))) (*.f64 (/.f64 1/2 a) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (+.f64 b b)))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (+.f64 b b)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (+.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (+.f64 b b))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 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2 b) (*.f64 c a))) (sqrt.f64 b)) (-.f64 (sqrt.f64 (*.f64 (/.f64 2 b) (*.f64 c a))) (sqrt.f64 b)) (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 (/.f64 2 b) (*.f64 c a) (neg.f64 b))) (sqrt.f64 b)) (-.f64 (sqrt.f64 (fma.f64 (/.f64 2 b) (*.f64 c a) (neg.f64 b))) (sqrt.f64 b)) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 (/.f64 2 b) (*.f64 c a) (neg.f64 b))) (sqrt.f64 b)) (-.f64 (sqrt.f64 (fma.f64 (/.f64 2 b) (*.f64 c a) (neg.f64 b))) (sqrt.f64 b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (cbrt.f64 (*.f64 b b)) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 (/.f64 2 b) (*.f64 c a) (neg.f64 b))) (sqrt.f64 b)) (-.f64 (sqrt.f64 (fma.f64 (/.f64 2 b) (*.f64 c a) (neg.f64 b))) (sqrt.f64 b)) (fma.f64 -1 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 b b))) (cbrt.f64 b) (fma.f64 (/.f64 2 b) (*.f64 c a) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 2 b) a) c (neg.f64 (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 2 b) a) c (-.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 2 b) a) c (neg.f64 (-.f64 b (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 2 b) (pow.f64 (cbrt.f64 (*.f64 c a)) 2)) (cbrt.f64 (*.f64 c a)) (neg.f64 (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 2 b) (pow.f64 (cbrt.f64 (*.f64 c a)) 2)) (cbrt.f64 (*.f64 c a)) (-.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 2 b) (pow.f64 (cbrt.f64 (*.f64 c a)) 2)) (cbrt.f64 (*.f64 c a)) (neg.f64 (-.f64 b (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 2 b) (sqrt.f64 (*.f64 c a))) (sqrt.f64 (*.f64 c a)) (neg.f64 (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 2 b) (sqrt.f64 (*.f64 c a))) (sqrt.f64 (*.f64 c a)) (-.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 2 b) (sqrt.f64 (*.f64 c a))) (sqrt.f64 (*.f64 c a)) (neg.f64 (-.f64 b (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 c a) (pow.f64 (cbrt.f64 (/.f64 2 b)) 2)) (cbrt.f64 (/.f64 2 b)) (neg.f64 (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 c a) (pow.f64 (cbrt.f64 (/.f64 2 b)) 2)) (cbrt.f64 (/.f64 2 b)) (-.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 c a) (pow.f64 (cbrt.f64 (/.f64 2 b)) 2)) (cbrt.f64 (/.f64 2 b)) (neg.f64 (-.f64 b (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 2 b))) (sqrt.f64 (/.f64 2 b)) (neg.f64 (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 2 b))) (sqrt.f64 (/.f64 2 b)) (-.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 2 b))) (sqrt.f64 (/.f64 2 b)) (neg.f64 (-.f64 b (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (/.f64 2 b) c) 1) a (neg.f64 (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (/.f64 2 b) c) 1) a (-.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (/.f64 2 b) c) 1) a (neg.f64 (-.f64 b (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (/.f64 2 b) c) (cbrt.f64 (*.f64 a a))) (cbrt.f64 a) (neg.f64 (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (/.f64 2 b) c) (cbrt.f64 (*.f64 a a))) (cbrt.f64 a) (-.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (/.f64 2 b) c) (cbrt.f64 (*.f64 a a))) (cbrt.f64 a) (neg.f64 (-.f64 b (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (/.f64 2 b) c) (sqrt.f64 a)) (sqrt.f64 a) (neg.f64 (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (/.f64 2 b) c) (sqrt.f64 a)) (sqrt.f64 a) (-.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (/.f64 2 b) c) (sqrt.f64 a)) (sqrt.f64 a) (neg.f64 (-.f64 b (neg.f64 b)))))))) |
| 1× | egg-herbie |
| 1032× | fma-def_binary64 |
| 939× | fma-neg_binary64 |
| 801× | div-sub_binary64 |
| 426× | times-frac_binary64 |
| 383× | distribute-rgt-in_binary64 |
Useful iterations: 9 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 1172 |
| 1 | 29 | 1118 |
| 2 | 56 | 1118 |
| 3 | 91 | 1118 |
| 4 | 138 | 1118 |
| 5 | 198 | 1118 |
| 6 | 314 | 1118 |
| 7 | 417 | 1118 |
| 8 | 783 | 1118 |
| 9 | 1770 | 1091 |
| 10 | 4230 | 1091 |
| 11 | 5288 | 1091 |
| 12 | 6138 | 1091 |
| 13 | 6281 | 1091 |
| 14 | 6345 | 1091 |
| 15 | 6345 | 1091 |
| 16 | 7824 | 1091 |
| 1× | node limit |
| Inputs |
|---|
(*.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)) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.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 -2 b)) |
(*.f64 -2 b) |
(+.f64 (*.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 -2 b)) |
(*.f64 -2 b) |
(+.f64 (*.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 -2 b)) |
(*.f64 -2 b) |
(+.f64 (*.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 -2 b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.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 -2 b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.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 -2 b)) |
(*.f64 -2 b) |
(+.f64 (*.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 -2 b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.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 -2 b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.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 -2 b)) |
| Outputs |
|---|
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 c) a) b) |
(/.f64 (*.f64 c (*.f64 2 a)) b) |
(*.f64 (/.f64 a b) (*.f64 2 c)) |
(*.f64 c (*.f64 2 (/.f64 a b))) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 a (/.f64 (/.f64 b c) 2)) |
(*.f64 (/.f64 c b) (*.f64 2 a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 c) a) b) |
(/.f64 (*.f64 c (*.f64 2 a)) b) |
(*.f64 (/.f64 a b) (*.f64 2 c)) |
(*.f64 c (*.f64 2 (/.f64 a b))) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 a (/.f64 (/.f64 b c) 2)) |
(*.f64 (/.f64 c b) (*.f64 2 a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 c) a) b) |
(/.f64 (*.f64 c (*.f64 2 a)) b) |
(*.f64 (/.f64 a b) (*.f64 2 c)) |
(*.f64 c (*.f64 2 (/.f64 a b))) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 a (/.f64 (/.f64 b c) 2)) |
(*.f64 (/.f64 c b) (*.f64 2 a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 c) a) b) |
(/.f64 (*.f64 c (*.f64 2 a)) b) |
(*.f64 (/.f64 a b) (*.f64 2 c)) |
(*.f64 c (*.f64 2 (/.f64 a b))) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 a (/.f64 (/.f64 b c) 2)) |
(*.f64 (/.f64 c b) (*.f64 2 a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 c) a) b) |
(/.f64 (*.f64 c (*.f64 2 a)) b) |
(*.f64 (/.f64 a b) (*.f64 2 c)) |
(*.f64 c (*.f64 2 (/.f64 a b))) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 a (/.f64 (/.f64 b c) 2)) |
(*.f64 (/.f64 c b) (*.f64 2 a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 c) a) b) |
(/.f64 (*.f64 c (*.f64 2 a)) b) |
(*.f64 (/.f64 a b) (*.f64 2 c)) |
(*.f64 c (*.f64 2 (/.f64 a b))) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 a (/.f64 (/.f64 b c) 2)) |
(*.f64 (/.f64 c b) (*.f64 2 a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 c) a) b) |
(/.f64 (*.f64 c (*.f64 2 a)) b) |
(*.f64 (/.f64 a b) (*.f64 2 c)) |
(*.f64 c (*.f64 2 (/.f64 a b))) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 a (/.f64 (/.f64 b c) 2)) |
(*.f64 (/.f64 c b) (*.f64 2 a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 c) a) b) |
(/.f64 (*.f64 c (*.f64 2 a)) b) |
(*.f64 (/.f64 a b) (*.f64 2 c)) |
(*.f64 c (*.f64 2 (/.f64 a b))) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 a (/.f64 (/.f64 b c) 2)) |
(*.f64 (/.f64 c b) (*.f64 2 a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 c) a) b) |
(/.f64 (*.f64 c (*.f64 2 a)) b) |
(*.f64 (/.f64 a b) (*.f64 2 c)) |
(*.f64 c (*.f64 2 (/.f64 a b))) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 a (/.f64 (/.f64 b c) 2)) |
(*.f64 (/.f64 c b) (*.f64 2 a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 c) a) b) |
(/.f64 (*.f64 c (*.f64 2 a)) b) |
(*.f64 (/.f64 a b) (*.f64 2 c)) |
(*.f64 c (*.f64 2 (/.f64 a b))) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 a (/.f64 (/.f64 b c) 2)) |
(*.f64 (/.f64 c b) (*.f64 2 a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 c) a) b) |
(/.f64 (*.f64 c (*.f64 2 a)) b) |
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(*.f64 -2 (fma.f64 a (/.f64 c (neg.f64 b)) b)) |
(+.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 c) a) b)) |
(fma.f64 b -2 (/.f64 (*.f64 c (*.f64 2 a)) b)) |
(fma.f64 b -2 (*.f64 (/.f64 a b) (*.f64 2 c))) |
(fma.f64 a (*.f64 2 (/.f64 c b)) (*.f64 b -2)) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (*.f64 b -2)) |
(fma.f64 2 (/.f64 a (/.f64 b c)) (*.f64 b -2)) |
(*.f64 -2 (-.f64 b (*.f64 c (/.f64 a b)))) |
(*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b)) |
(*.f64 -2 (fma.f64 a (/.f64 c (neg.f64 b)) b)) |
(+.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 c) a) b)) |
(fma.f64 b -2 (/.f64 (*.f64 c (*.f64 2 a)) b)) |
(fma.f64 b -2 (*.f64 (/.f64 a b) (*.f64 2 c))) |
(fma.f64 a (*.f64 2 (/.f64 c b)) (*.f64 b -2)) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (*.f64 b -2)) |
(fma.f64 2 (/.f64 a (/.f64 b c)) (*.f64 b -2)) |
(*.f64 -2 (-.f64 b (*.f64 c (/.f64 a b)))) |
(*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b)) |
(*.f64 -2 (fma.f64 a (/.f64 c (neg.f64 b)) b)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) (*.f64 a -2)) |
| ✓ | 0.2b | (*.f64 c (*.f64 -4 a)) |
| ✓ | 0.2b | (/.f64 b (*.f64 a -2)) |
| ✓ | 14.2b | (sqrt.f64 (*.f64 c (*.f64 -4 a))) |
Compiled 56 to 37 computations (33.9% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | c | @ | 0 | (*.f64 c (*.f64 -4 a)) |
| 1.0ms | c | @ | 0 | (/.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) (*.f64 a -2)) |
| 1.0ms | c | @ | inf | (/.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) (*.f64 a -2)) |
| 1.0ms | b | @ | 0 | (/.f64 b (*.f64 a -2)) |
| 1.0ms | c | @ | -inf | (/.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) (*.f64 a -2)) |
| 1× | batch-egg-rewrite |
| 715× | log-prod_binary64 |
| 399× | pow-prod-down_binary64 |
| 324× | pow2_binary64 |
| 260× | pow-unpow_binary64 |
| 229× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 38 |
| 1 | 256 | 38 |
| 2 | 3405 | 38 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 c (*.f64 -4 a))) |
(/.f64 b (*.f64 a -2)) |
(*.f64 c (*.f64 -4 a)) |
(/.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) (*.f64 a -2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 -4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 -4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -4 (*.f64 a c))) (pow.f64 (*.f64 -4 (*.f64 a c)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/6) (cbrt.f64 (*.f64 -4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -4 a)) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4) (pow.f64 (*.f64 -4 (*.f64 a c)) 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 (pow.f64 1 1/2) (sqrt.f64 (*.f64 -4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -4 (*.f64 a c)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -4 (*.f64 a c))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -4 (*.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 b (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (/.f64 -1/2 a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (/.f64 -1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (/.f64 -1/2 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (/.f64 -1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 b (/.f64 -1/2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 -1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b (/.f64 -1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 b (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 b (/.f64 -1/2 a))) (pow.f64 (cbrt.f64 (*.f64 b (/.f64 -1/2 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 b (/.f64 -1/2 a))) 2) (cbrt.f64 (*.f64 b (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 b (/.f64 -1/2 a))) (sqrt.f64 (*.f64 b (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (*.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 a) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) a) (/.f64 (sqrt.f64 b) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 b -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) a) (/.f64 (cbrt.f64 b) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) -2) (/.f64 (sqrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) -2) (/.f64 (cbrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a -2)) -2) (/.f64 b (cbrt.f64 (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 (*.f64 4 (*.f64 a a)))) (cbrt.f64 (*.f64 b (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (cbrt.f64 (*.f64 4 (*.f64 a a)))) (/.f64 (sqrt.f64 b) (cbrt.f64 (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a -2) -1/2) (/.f64 b (sqrt.f64 (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (*.f64 a -2))) (/.f64 (cbrt.f64 b) (sqrt.f64 (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (/.f64 -1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 b a) 2) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 b (/.f64 -1/2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 b (/.f64 -1/2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 b (/.f64 -1/2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (/.f64 b -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 b 3) (pow.f64 (*.f64 a -2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a (/.f64 b -2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (*.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (/.f64 b a) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 b (/.f64 -1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 b (/.f64 -1/2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 (*.f64 a -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 b (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 b (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 b (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 b (/.f64 -1/2 a))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -4 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -4) a) c)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -4) a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -4) a) c))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -4) a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -4 (*.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -4 (*.f64 a c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -4 (*.f64 a c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -4) a) c))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -4 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -4 (*.f64 a c))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))) (/.f64 -1/2 a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))) (/.f64 -1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))) (/.f64 -1/2 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))) (/.f64 -1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 -1/2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 -1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 -1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 -1/2 a))) (cbrt.f64 (/.f64 (*.f64 -4 (*.f64 a c)) (*.f64 4 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 -4 (*.f64 a c)) (*.f64 4 (*.f64 a a)))) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -4 (*.f64 a c))) (*.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/6) (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 (*.f64 -4 a)) (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 -1/2 a))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4) (*.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4) (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))) (/.f64 1 (*.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 a) (sqrt.f64 (*.f64 -4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) a) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 -4 (*.f64 a c))) 1) (/.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/6) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) 1) (/.f64 (sqrt.f64 (*.f64 -4 a)) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4) 1) (/.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4) a) (/.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a -2)) -2) (/.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (cbrt.f64 (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a -2) -1/2) (/.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (sqrt.f64 (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 -4 (*.f64 a c))) a) (/.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/6) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) a) (/.f64 (sqrt.f64 (*.f64 -4 a)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4) -2) (/.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 -4 (*.f64 a c))) -2) (/.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/6) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) -2) (/.f64 (sqrt.f64 (*.f64 -4 a)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 -4 (*.f64 a c))) (cbrt.f64 (*.f64 4 (*.f64 a a)))) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) (cbrt.f64 (*.f64 4 (*.f64 a a)))) (/.f64 (sqrt.f64 (*.f64 -4 a)) (cbrt.f64 (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4) (cbrt.f64 (*.f64 4 (*.f64 a a)))) (/.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4) (cbrt.f64 (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 -4 (*.f64 a c))) (sqrt.f64 (*.f64 a -2))) (/.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/6) (sqrt.f64 (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -2))) (/.f64 (sqrt.f64 (*.f64 -4 a)) (sqrt.f64 (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 -1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 -4 (*.f64 a c)) (*.f64 4 (*.f64 a a))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 -1/2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 -1/2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 -1/2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (/.f64 a (sqrt.f64 (*.f64 -4 (*.f64 a c))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 3/2) (pow.f64 (*.f64 a -2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 -2 (/.f64 a (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (*.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 -4 (*.f64 a c)) (*.f64 4 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))) (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 -1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 -1/2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 3/2) (pow.f64 (*.f64 a -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 -1/2 a))) 1)))))) |
| 1× | egg-herbie |
| 8× | *-commutative_binary64 |
| 3× | associate-*r*_binary64 |
| 3× | associate-*l*_binary64 |
| 2× | associate-/l*_binary64 |
| 1× | associate-*r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 336 |
| 1 | 17 | 336 |
| 2 | 28 | 336 |
| 3 | 34 | 336 |
| 4 | 35 | 336 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -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 b a)) |
(/.f64 -1/2 (/.f64 a b)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 -1/2 (/.f64 a b)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 -1/2 (/.f64 a b)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 -1/2 (/.f64 a b)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 -1/2 (/.f64 a b)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 -1/2 (/.f64 a b)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 -1/2 (/.f64 a b)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 -1/2 (/.f64 a b)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 -1/2 (/.f64 a b)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 -1/2 (/.f64 a b)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 -1/2 (/.f64 a b)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 -1/2 (/.f64 a b)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 -1/2 (/.f64 a b)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 -1/2 (/.f64 a b)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 -1/2 (/.f64 a b)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 -1/2 (/.f64 a b)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 -1/2 (/.f64 a b)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 -1/2 (/.f64 a b)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 -1/2 (/.f64 a b)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 -1/2 (/.f64 a b)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 -1/2 (/.f64 a b)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 -1/2 (/.f64 a b)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 -1/2 (/.f64 a b)) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 -1/2 (/.f64 a b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 a c)) |
(*.f64 a (*.f64 -4 c)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 a c)) |
(*.f64 a (*.f64 -4 c)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 a c)) |
(*.f64 a (*.f64 -4 c)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 a c)) |
(*.f64 a (*.f64 -4 c)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 a c)) |
(*.f64 a (*.f64 -4 c)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 a c)) |
(*.f64 a (*.f64 -4 c)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 a c)) |
(*.f64 a (*.f64 -4 c)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 a c)) |
(*.f64 a (*.f64 -4 c)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 a c)) |
(*.f64 a (*.f64 -4 c)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 a c)) |
(*.f64 a (*.f64 -4 c)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 a c)) |
(*.f64 a (*.f64 -4 c)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 a c)) |
(*.f64 a (*.f64 -4 c)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 a c)) |
(*.f64 a (*.f64 -4 c)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 a c)) |
(*.f64 a (*.f64 -4 c)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 a c)) |
(*.f64 a (*.f64 -4 c)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 a c)) |
(*.f64 a (*.f64 -4 c)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 a c)) |
(*.f64 a (*.f64 -4 c)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 a c)) |
(*.f64 a (*.f64 -4 c)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 a c)) |
(*.f64 a (*.f64 -4 c)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 a c)) |
(*.f64 a (*.f64 -4 c)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 a c)) |
(*.f64 a (*.f64 -4 c)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 a c)) |
(*.f64 a (*.f64 -4 c)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 a c)) |
(*.f64 a (*.f64 -4 c)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 a c)) |
(*.f64 a (*.f64 -4 c)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)) (*.f64 2 a)) |
| ✓ | 0.3b | (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2) |
| ✓ | 14.8b | (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) |
Compiled 66 to 45 computations (31.8% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 129.0ms | c | @ | 0 | (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) |
| 49.0ms | a | @ | inf | (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) |
| 31.0ms | c | @ | -inf | (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) |
| 29.0ms | a | @ | -inf | (/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)) (*.f64 2 a)) |
| 27.0ms | a | @ | 0 | (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) |
| 1× | batch-egg-rewrite |
| 761× | log-prod_binary64 |
| 316× | fma-def_binary64 |
| 263× | expm1-udef_binary64 |
| 263× | log1p-udef_binary64 |
| 261× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 41 |
| 1 | 338 | 37 |
| 2 | 4459 | 37 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (*.f64 (*.f64 c -4) a) 1/4) |
(pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2) |
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)) (*.f64 2 a)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4))) (cbrt.f64 (exp.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)) (cbrt.f64 (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 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a 1/4) (pow.f64 (*.f64 c -4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/8) (pow.f64 (*.f64 c (*.f64 -4 a)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/4) (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 c 1/4) (pow.f64 (*.f64 -4 a) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) 2) 1/4) (pow.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) 1/4) (pow.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/4 (log.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 c (*.f64 -4 a)))) 1)))))) |
((#(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 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (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 (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 (*.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 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (*.f64 (cbrt.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 (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 (sqrt.f64 c) (pow.f64 (*.f64 -4 a) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c -4) 1/4) (*.f64 (pow.f64 a 1/4) (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/8) (*.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/8) (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/8) 3) (pow.f64 (*.f64 c (*.f64 -4 a)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 (*.f64 c -4) 1/4)) (*.f64 (pow.f64 a 1/4) (pow.f64 a 1/4)))))) (#(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 *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 c -4) 1/4) 2) (pow.f64 (pow.f64 a 1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) (pow.f64 (*.f64 c -4) 1/4)) (pow.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 c (*.f64 -4 a)))))) (#(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 0 (*.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) (/.f64 1/2 a)))) (cbrt.f64 (exp.f64 (*.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) (/.f64 1/2 a)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) (/.f64 1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) (/.f64 1/2 a))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) (/.f64 1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) (/.f64 1/2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) (/.f64 1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) (/.f64 1/2 a))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) (/.f64 1/2 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) (/.f64 1/2 a))) 2) (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b)) 2) (*.f64 (cbrt.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 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| 1× | egg-herbie |
| 633× | fma-neg_binary64 |
| 455× | fma-def_binary64 |
| 371× | exp-sum_binary64 |
| 308× | unsub-neg_binary64 |
| 286× | exp-diff_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 1849 |
| 1 | 239 | 1801 |
| 2 | 585 | 1585 |
| 3 | 1446 | 1177 |
| 4 | 5698 | 1177 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) |
(*.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 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 2) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 2) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 2) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 2) 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 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 (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 (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 (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 (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 (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 (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 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b) a)) |
(*.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 1/2 (/.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 1/2 (/.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 1/2 (/.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)) |
| Outputs |
|---|
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 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 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) |
(pow.f64 (*.f64 4 (/.f64 a (/.f64 -1 c))) 1/4) |
(pow.f64 (*.f64 a (*.f64 (*.f64 -1 c) 4)) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 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 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) |
(pow.f64 (*.f64 4 (/.f64 a (/.f64 -1 c))) 1/4) |
(pow.f64 (*.f64 a (*.f64 (*.f64 -1 c) 4)) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 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 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) |
(pow.f64 (*.f64 4 (/.f64 a (/.f64 -1 c))) 1/4) |
(pow.f64 (*.f64 a (*.f64 (*.f64 -1 c) 4)) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 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 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) |
(pow.f64 (*.f64 4 (/.f64 a (/.f64 -1 c))) 1/4) |
(pow.f64 (*.f64 a (*.f64 (*.f64 -1 c) 4)) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) |
(pow.f64 (*.f64 a (*.f64 c -4)) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 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 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) |
(pow.f64 (*.f64 4 (/.f64 a (/.f64 -1 c))) 1/4) |
(pow.f64 (*.f64 a (*.f64 (*.f64 -1 c) 4)) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 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)))) |
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(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 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 c) (log.f64 (*.f64 -4 a)))) 2) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) b) a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 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 c) (log.f64 (*.f64 -4 a)))) 2) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) b) a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 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 c) (log.f64 (*.f64 -4 a)))) 2) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) b) a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 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 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 1/2) b) a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 4 (/.f64 a (/.f64 -1 c)))) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 (*.f64 -1 c) 4))) b) (/.f64 1/2 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 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 1/2) b) a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 4 (/.f64 a (/.f64 -1 c)))) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 (*.f64 -1 c) 4))) b) (/.f64 1/2 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 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 1/2) b) a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 4 (/.f64 a (/.f64 -1 c)))) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 (*.f64 -1 c) 4))) b) (/.f64 1/2 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 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 1/2) b) a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 4 (/.f64 a (/.f64 -1 c)))) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 (*.f64 -1 c) 4))) b) (/.f64 1/2 a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) b) a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) b) a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) b) a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) b) a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) b) a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) b) a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) b) a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b) a)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) b) a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a)) |
(*.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 1/2 (/.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 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 1/2) b) a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 4 (/.f64 a (/.f64 -1 c)))) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 (*.f64 -1 c) 4))) b) (/.f64 1/2 a)) |
(*.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 1/2 (/.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 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 1/2) b) a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 4 (/.f64 a (/.f64 -1 c)))) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 (*.f64 -1 c) 4))) b) (/.f64 1/2 a)) |
(*.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 1/2 (/.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 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 1/2) b) a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 4 (/.f64 a (/.f64 -1 c)))) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 (*.f64 -1 c) 4))) b) (/.f64 1/2 a)) |
(*.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 1/2 (/.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 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 1/2) b) a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 4 (/.f64 a (/.f64 -1 c)))) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 (*.f64 -1 c) 4))) b) (/.f64 1/2 a)) |
Compiled 20252 to 12928 computations (36.2% saved)
42 alts after pruning (34 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 677 | 19 | 696 |
| Fresh | 11 | 15 | 26 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 8 | 9 |
| Total | 690 | 42 | 732 |
| Status | Error | Program |
|---|---|---|
| 50.3b | (-.f64 (/.f64 b (*.f64 a -2)) (*.f64 (/.f64 (sqrt.f64 c) a) (/.f64 (sqrt.f64 (*.f64 -4 a)) -2))) | |
| 62.3b | (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 a b))) 3) | |
| 39.4b | (/.f64 -1 (pow.f64 (neg.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)) | |
| 46.0b | (/.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a) -2) | |
| 46.2b | (/.f64 1 (/.f64 (neg.f64 a) b)) | |
| 53.7b | (/.f64 (+.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)) (*.f64 2 a)) | |
| 39.7b | (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) 3) 3) | |
| 53.6b | (/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a))) (*.f64 2 a)) | |
| 55.2b | (/.f64 c b) | |
| 50.9b | (exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) | |
| 39.4b | (*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))) | |
| ✓ | 46.0b | (-.f64 (/.f64 b (*.f64 a -2)) (/.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) (*.f64 a -2))) |
| 46.5b | (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 c b) (*.f64 2 a)) b) b) (/.f64 1/2 a)) | |
| 48.1b | (*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c)) | |
| ✓ | 50.0b | (*.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (/.f64 1/2 a)) |
| 49.3b | (/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a)) | |
| 49.9b | (/.f64 (exp.f64 (log.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)))) (*.f64 2 a)) | |
| ✓ | 39.1b | (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
| 46.8b | (*.f64 (-.f64 (-.f64 (/.f64 (*.f64 c a) (*.f64 b 1/2)) b) b) (/.f64 1/2 a)) | |
| ✓ | 46.2b | (/.f64 (neg.f64 b) a) |
| 46.8b | (*.f64 (-.f64 (-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b) b) (/.f64 1/2 a)) | |
| 49.3b | (cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) 3)) | |
| 39.7b | (/.f64 1 (/.f64 (neg.f64 b) c)) | |
| 44.8b | (/.f64 1 (/.f64 a (*.f64 (/.f64 1/2 (/.f64 b (*.f64 a (*.f64 c -4)))) 1/2))) | |
| 49.3b | (/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 3/2))) (*.f64 2 a)) | |
| 62.3b | (pow.f64 (cbrt.f64 (/.f64 b a)) 3) | |
| 46.0b | (/.f64 1 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) | |
| ✓ | 62.3b | (/.f64 b a) |
| 46.2b | (*.f64 (*.f64 b -2) (/.f64 1/2 a)) | |
| ✓ | 46.3b | (-.f64 (/.f64 c b) (/.f64 b a)) |
| ✓ | 46.8b | (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a)) |
| 39.4b | (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))) 3) | |
| ✓ | 39.4b | (/.f64 (neg.f64 c) b) |
| 42.8b | (/.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) (*.f64 2 a)) | |
| 48.3b | (*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (pow.f64 (pow.f64 (*.f64 c -4) 1/4) 2)) b) b) (/.f64 1/2 a)) | |
| 46.0b | (*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a)) | |
| 54.1b | (*.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)) | |
| 54.9b | 0 | |
| 49.5b | (/.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 -4 a))) (*.f64 (*.f64 a -2) (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b))) | |
| 46.0b | (-.f64 (/.f64 b (*.f64 a -2)) (*.f64 (/.f64 -1/2 a) (sqrt.f64 (*.f64 -4 (*.f64 a c))))) | |
| 54.5b | (*.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b)) a) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b)) 2)) | |
| 43.1b | (neg.f64 (/.f64 c (*.f64 a (/.f64 b a)))) |
Compiled 649 to 465 computations (28.4% saved)
| Inputs |
|---|
0 |
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 1 (/.f64 (neg.f64 b) c)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (-.f64 b b) (/.f64 1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(neg.f64 (/.f64 c (*.f64 a (/.f64 b a)))) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) (*.f64 2 a)) |
(*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a)) |
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a)) |
(/.f64 (/.f64 (*.f64 -2 c) (/.f64 b a)) (*.f64 2 a)) |
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c)) |
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 c b) (*.f64 2 a)) b) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (-.f64 (/.f64 (*.f64 c a) (*.f64 b 1/2)) b) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b) b) (/.f64 1/2 a)) |
(/.f64 1 (/.f64 a (*.f64 (/.f64 1/2 (/.f64 b (*.f64 a (*.f64 c -4)))) 1/2))) |
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (/.f64 1/2 a)) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a) -2) |
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
(/.f64 1 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) |
(-.f64 (/.f64 b (*.f64 a -2)) (*.f64 (/.f64 -1/2 a) (sqrt.f64 (*.f64 -4 (*.f64 a c))))) |
(-.f64 (/.f64 b (*.f64 a -2)) (/.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) (*.f64 a -2))) |
(*.f64 (fma.f64 -1/2 (*.f64 (*.f64 -4 (/.f64 c b)) a) (*.f64 b -2)) (/.f64 1/2 a)) |
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 -4 a))) (*.f64 (*.f64 a -2) (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b))) |
(pow.f64 (cbrt.f64 (/.f64 b a)) 3) |
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 a b))) 3) |
(exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) |
(exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) |
(pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -3) |
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) 3)) |
(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))) 3) |
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3) |
(/.f64 -1 (pow.f64 (neg.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)) |
(/.f64 (exp.f64 (log.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)))) (*.f64 2 a)) |
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a))) (*.f64 2 a)) |
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a)) |
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1) |
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 3/2))) (*.f64 2 a)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)) (*.f64 2 a)) |
(/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1) (*.f64 2 a)) |
(/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2))) |
(-.f64 (/.f64 b (*.f64 a -2)) (*.f64 (/.f64 (sqrt.f64 c) a) (/.f64 (sqrt.f64 (*.f64 -4 a)) -2))) |
(+.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (/.f64 1/2 a)) (*.f64 (neg.f64 b) (/.f64 1/2 a))) |
(/.f64 (*.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b))) (*.f64 2 a)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) 3)) |
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a))))) -1) |
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))) 3) |
(*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a)) |
(/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))) b) 1/2))) |
(*.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2)) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)) (*.f64 2 a)) |
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 3/2))) (*.f64 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 1 (sqrt.f64 (+.f64 a a))) (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (sqrt.f64 (+.f64 a a)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 a c))))))) (*.f64 2 a)) |
(pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) 3) 3) |
(*.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (cbrt.f64 (pow.f64 (*.f64 c -4) 3/2))) b) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (pow.f64 (pow.f64 (*.f64 c -4) 1/4) 2)) b) b) (/.f64 1/2 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 (*.f64 (fabs.f64 (pow.f64 (cbrt.f64 b) 2)) (fabs.f64 (cbrt.f64 b))) b) (/.f64 1/2 a)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b)) a) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b)) 2)) |
| Outputs |
|---|
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 a c))))))) (*.f64 2 a)) |
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a))))) -1) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 a c))))))) (*.f64 2 a)) |
(/.f64 (neg.f64 c) b) |
5 calls:
| 791.0ms | c |
| 457.0ms | a |
| 293.0ms | b |
| 158.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| 107.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| Error | Segments | Branch |
|---|---|---|
| 22.3b | 8 | a |
| 9.2b | 5 | b |
| 21.4b | 11 | c |
| 14.0b | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| 14.0b | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
Compiled 1134 to 649 computations (42.8% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 131.0ms | 3.578855098262083e-64 | 2.42839220699169e-55 |
| 40.0ms | 6.575670088517655e-243 | 4.6419380103729e-230 |
| 37.0ms | -5.313242367827225e-252 | -2.6057028874078343e-258 |
| 160.0ms | -6089270135047660.0 | -1575393226950.9604 |
Compiled 1663 to 1170 computations (29.6% saved)
| Inputs |
|---|
0 |
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 1 (/.f64 (neg.f64 b) c)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (-.f64 b b) (/.f64 1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(neg.f64 (/.f64 c (*.f64 a (/.f64 b a)))) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) (*.f64 2 a)) |
(*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a)) |
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a)) |
(/.f64 (/.f64 (*.f64 -2 c) (/.f64 b a)) (*.f64 2 a)) |
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c)) |
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 c b) (*.f64 2 a)) b) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (-.f64 (/.f64 (*.f64 c a) (*.f64 b 1/2)) b) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b) b) (/.f64 1/2 a)) |
(/.f64 1 (/.f64 a (*.f64 (/.f64 1/2 (/.f64 b (*.f64 a (*.f64 c -4)))) 1/2))) |
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (/.f64 1/2 a)) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a) -2) |
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
(/.f64 1 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) |
(-.f64 (/.f64 b (*.f64 a -2)) (*.f64 (/.f64 -1/2 a) (sqrt.f64 (*.f64 -4 (*.f64 a c))))) |
(-.f64 (/.f64 b (*.f64 a -2)) (/.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) (*.f64 a -2))) |
(*.f64 (fma.f64 -1/2 (*.f64 (*.f64 -4 (/.f64 c b)) a) (*.f64 b -2)) (/.f64 1/2 a)) |
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 -4 a))) (*.f64 (*.f64 a -2) (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b))) |
(pow.f64 (cbrt.f64 (/.f64 b a)) 3) |
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 a b))) 3) |
(exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) |
(exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) |
(pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -3) |
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) 3)) |
(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))) 3) |
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3) |
(/.f64 -1 (pow.f64 (neg.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)) |
(/.f64 (exp.f64 (log.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)))) (*.f64 2 a)) |
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a))) (*.f64 2 a)) |
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a)) |
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1) |
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 3/2))) (*.f64 2 a)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)) (*.f64 2 a)) |
(/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1) (*.f64 2 a)) |
(/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2))) |
(-.f64 (/.f64 b (*.f64 a -2)) (*.f64 (/.f64 (sqrt.f64 c) a) (/.f64 (sqrt.f64 (*.f64 -4 a)) -2))) |
(+.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (/.f64 1/2 a)) (*.f64 (neg.f64 b) (/.f64 1/2 a))) |
(/.f64 (*.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b))) (*.f64 2 a)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) 3)) |
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a))))) -1) |
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))) 3) |
(*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a)) |
(/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))) b) 1/2))) |
(*.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2)) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)) (*.f64 2 a)) |
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 3/2))) (*.f64 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 1 (sqrt.f64 (+.f64 a a))) (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (sqrt.f64 (+.f64 a 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)) |
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a))))) -1) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
(/.f64 (neg.f64 c) b) |
5 calls:
| 586.0ms | a |
| 464.0ms | c |
| 228.0ms | b |
| 106.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| 96.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| Error | Segments | Branch |
|---|---|---|
| 22.3b | 8 | a |
| 9.2b | 5 | b |
| 21.4b | 11 | c |
| 14.1b | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| 14.1b | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
Compiled 947 to 544 computations (42.6% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 212.0ms | 3.578855098262083e-64 | 2.42839220699169e-55 |
| 69.0ms | 6.575670088517655e-243 | 4.6419380103729e-230 |
| 68.0ms | -5.313242367827225e-252 | -2.6057028874078343e-258 |
| 377.0ms | -6089270135047660.0 | -1575393226950.9604 |
Compiled 1303 to 954 computations (26.8% saved)
| Inputs |
|---|
0 |
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 1 (/.f64 (neg.f64 b) c)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (-.f64 b b) (/.f64 1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(neg.f64 (/.f64 c (*.f64 a (/.f64 b a)))) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) (*.f64 2 a)) |
(*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a)) |
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a)) |
(/.f64 (/.f64 (*.f64 -2 c) (/.f64 b a)) (*.f64 2 a)) |
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c)) |
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 c b) (*.f64 2 a)) b) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (-.f64 (/.f64 (*.f64 c a) (*.f64 b 1/2)) b) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b) b) (/.f64 1/2 a)) |
(/.f64 1 (/.f64 a (*.f64 (/.f64 1/2 (/.f64 b (*.f64 a (*.f64 c -4)))) 1/2))) |
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (/.f64 1/2 a)) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a) -2) |
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
(/.f64 1 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) |
(-.f64 (/.f64 b (*.f64 a -2)) (*.f64 (/.f64 -1/2 a) (sqrt.f64 (*.f64 -4 (*.f64 a c))))) |
(-.f64 (/.f64 b (*.f64 a -2)) (/.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) (*.f64 a -2))) |
(*.f64 (fma.f64 -1/2 (*.f64 (*.f64 -4 (/.f64 c b)) a) (*.f64 b -2)) (/.f64 1/2 a)) |
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 -4 a))) (*.f64 (*.f64 a -2) (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b))) |
(pow.f64 (cbrt.f64 (/.f64 b a)) 3) |
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 a b))) 3) |
(exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) |
(exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) |
(pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -3) |
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) 3)) |
(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))) 3) |
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3) |
(/.f64 -1 (pow.f64 (neg.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)) |
(/.f64 (exp.f64 (log.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)))) (*.f64 2 a)) |
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a))) (*.f64 2 a)) |
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a)) |
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1) |
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 3/2))) (*.f64 2 a)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)) (*.f64 2 a)) |
(/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1) (*.f64 2 a)) |
(/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2))) |
(-.f64 (/.f64 b (*.f64 a -2)) (*.f64 (/.f64 (sqrt.f64 c) a) (/.f64 (sqrt.f64 (*.f64 -4 a)) -2))) |
(+.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (/.f64 1/2 a)) (*.f64 (neg.f64 b) (/.f64 1/2 a))) |
(/.f64 (*.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b))) (*.f64 2 a)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) 3)) |
| 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 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
(/.f64 (neg.f64 c) b) |
5 calls:
| 521.0ms | c |
| 307.0ms | a |
| 179.0ms | b |
| 118.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| 80.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| Error | Segments | Branch |
|---|---|---|
| 22.7b | 10 | a |
| 9.2b | 5 | b |
| 22.3b | 11 | c |
| 14.1b | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| 14.1b | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
Compiled 779 to 437 computations (43.9% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 247.0ms | 3.578855098262083e-64 | 2.42839220699169e-55 |
| 64.0ms | 6.575670088517655e-243 | 4.6419380103729e-230 |
| 146.0ms | -5.313242367827225e-252 | -2.6057028874078343e-258 |
| 280.0ms | -6089270135047660.0 | -1575393226950.9604 |
Compiled 1284 to 935 computations (27.2% saved)
| Inputs |
|---|
0 |
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 1 (/.f64 (neg.f64 b) c)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (-.f64 b b) (/.f64 1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(neg.f64 (/.f64 c (*.f64 a (/.f64 b a)))) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) (*.f64 2 a)) |
(*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a)) |
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a)) |
(/.f64 (/.f64 (*.f64 -2 c) (/.f64 b a)) (*.f64 2 a)) |
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c)) |
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 c b) (*.f64 2 a)) b) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (-.f64 (/.f64 (*.f64 c a) (*.f64 b 1/2)) b) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b) b) (/.f64 1/2 a)) |
(/.f64 1 (/.f64 a (*.f64 (/.f64 1/2 (/.f64 b (*.f64 a (*.f64 c -4)))) 1/2))) |
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (/.f64 1/2 a)) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a) -2) |
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
(/.f64 1 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) |
(-.f64 (/.f64 b (*.f64 a -2)) (*.f64 (/.f64 -1/2 a) (sqrt.f64 (*.f64 -4 (*.f64 a c))))) |
(-.f64 (/.f64 b (*.f64 a -2)) (/.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) (*.f64 a -2))) |
(*.f64 (fma.f64 -1/2 (*.f64 (*.f64 -4 (/.f64 c b)) a) (*.f64 b -2)) (/.f64 1/2 a)) |
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 -4 a))) (*.f64 (*.f64 a -2) (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b))) |
(pow.f64 (cbrt.f64 (/.f64 b a)) 3) |
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 a b))) 3) |
(exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) |
(exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) |
(pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -3) |
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) 3)) |
(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))) 3) |
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3) |
(/.f64 -1 (pow.f64 (neg.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)) |
(/.f64 (exp.f64 (log.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)))) (*.f64 2 a)) |
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a))) (*.f64 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) |
5 calls:
| 1.1s | c |
| 945.0ms | a |
| 538.0ms | b |
| 191.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| 71.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| Error | Segments | Branch |
|---|---|---|
| 27.3b | 9 | a |
| 10.6b | 3 | b |
| 24.1b | 12 | c |
| 14.1b | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| 14.1b | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
Compiled 602 to 330 computations (45.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 134.0ms | 3.578855098262083e-64 | 2.42839220699169e-55 |
| 174.0ms | -6089270135047660.0 | -1575393226950.9604 |
Compiled 543 to 384 computations (29.3% saved)
| Inputs |
|---|
0 |
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 1 (/.f64 (neg.f64 b) c)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (-.f64 b b) (/.f64 1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(neg.f64 (/.f64 c (*.f64 a (/.f64 b a)))) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) (*.f64 2 a)) |
(*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a)) |
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a)) |
(/.f64 (/.f64 (*.f64 -2 c) (/.f64 b a)) (*.f64 2 a)) |
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c)) |
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 c b) (*.f64 2 a)) b) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (-.f64 (/.f64 (*.f64 c a) (*.f64 b 1/2)) b) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b) b) (/.f64 1/2 a)) |
(/.f64 1 (/.f64 a (*.f64 (/.f64 1/2 (/.f64 b (*.f64 a (*.f64 c -4)))) 1/2))) |
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (/.f64 1/2 a)) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a) -2) |
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
(/.f64 1 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) |
(-.f64 (/.f64 b (*.f64 a -2)) (*.f64 (/.f64 -1/2 a) (sqrt.f64 (*.f64 -4 (*.f64 a c))))) |
(-.f64 (/.f64 b (*.f64 a -2)) (/.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) (*.f64 a -2))) |
(*.f64 (fma.f64 -1/2 (*.f64 (*.f64 -4 (/.f64 c b)) a) (*.f64 b -2)) (/.f64 1/2 a)) |
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))) b) (/.f64 1/2 a)) |
| Outputs |
|---|
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))) b) (/.f64 1/2 a)) |
(/.f64 (neg.f64 c) b) |
3 calls:
| 226.0ms | c |
| 203.0ms | a |
| 60.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 27.4b | 10 | a |
| 10.6b | 3 | b |
| 25.7b | 12 | c |
Compiled 390 to 225 computations (42.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 124.0ms | 3.578855098262083e-64 | 2.42839220699169e-55 |
| 160.0ms | -6089270135047660.0 | -1575393226950.9604 |
Compiled 526 to 367 computations (30.2% saved)
| Inputs |
|---|
0 |
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 1 (/.f64 (neg.f64 b) c)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (-.f64 b b) (/.f64 1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(neg.f64 (/.f64 c (*.f64 a (/.f64 b a)))) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) (*.f64 2 a)) |
(*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a)) |
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a)) |
(/.f64 (/.f64 (*.f64 -2 c) (/.f64 b a)) (*.f64 2 a)) |
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c)) |
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 c b) (*.f64 2 a)) b) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (-.f64 (/.f64 (*.f64 c a) (*.f64 b 1/2)) b) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b) b) (/.f64 1/2 a)) |
(/.f64 1 (/.f64 a (*.f64 (/.f64 1/2 (/.f64 b (*.f64 a (*.f64 c -4)))) 1/2))) |
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (/.f64 1/2 a)) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a) -2) |
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
(/.f64 1 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) |
(-.f64 (/.f64 b (*.f64 a -2)) (*.f64 (/.f64 -1/2 a) (sqrt.f64 (*.f64 -4 (*.f64 a c))))) |
(-.f64 (/.f64 b (*.f64 a -2)) (/.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) (*.f64 a -2))) |
(*.f64 (fma.f64 -1/2 (*.f64 (*.f64 -4 (/.f64 c b)) a) (*.f64 b -2)) (/.f64 1/2 a)) |
| Outputs |
|---|
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a) -2) |
(/.f64 (neg.f64 c) b) |
3 calls:
| 331.0ms | a |
| 92.0ms | b |
| 81.0ms | c |
| Error | Segments | Branch |
|---|---|---|
| 33.1b | 10 | a |
| 12.1b | 3 | b |
| 33.3b | 5 | c |
Compiled 374 to 217 computations (42% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 163.0ms | 3.578855098262083e-64 | 2.42839220699169e-55 |
| 65.0ms | -3.503392325488546e-69 | -7.529114573712174e-71 |
Compiled 431 to 314 computations (27.1% saved)
| Inputs |
|---|
0 |
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 1 (/.f64 (neg.f64 b) c)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (-.f64 b b) (/.f64 1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(neg.f64 (/.f64 c (*.f64 a (/.f64 b a)))) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) (*.f64 2 a)) |
(*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a)) |
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a)) |
(/.f64 (/.f64 (*.f64 -2 c) (/.f64 b a)) (*.f64 2 a)) |
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c)) |
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 c b) (*.f64 2 a)) b) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (-.f64 (/.f64 (*.f64 c a) (*.f64 b 1/2)) b) b) (/.f64 1/2 a)) |
(*.f64 (-.f64 (-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b) b) (/.f64 1/2 a)) |
(/.f64 1 (/.f64 a (*.f64 (/.f64 1/2 (/.f64 b (*.f64 a (*.f64 c -4)))) 1/2))) |
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a)) |
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (/.f64 1/2 a)) |
| Outputs |
|---|
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
3 calls:
| 92.0ms | a |
| 75.0ms | c |
| 27.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 35.2b | 6 | a |
| 22.9b | 2 | b |
| 35.9b | 5 | c |
Compiled 263 to 144 computations (45.2% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 48.0ms | -7.055550237231443e-266 | -4.298158151089885e-274 |
Compiled 242 to 163 computations (32.6% saved)
| Inputs |
|---|
0 |
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 1 (/.f64 (neg.f64 b) c)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (-.f64 b b) (/.f64 1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(neg.f64 (/.f64 c (*.f64 a (/.f64 b a)))) |
| Outputs |
|---|
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 (neg.f64 c) b) |
3 calls:
| 171.0ms | a |
| 142.0ms | c |
| 18.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 35.6b | 6 | a |
| 23.0b | 2 | b |
| 34.6b | 9 | c |
Compiled 97 to 51 computations (47.4% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 60.0ms | -1.7559595417701517e-304 | -1.1269570309735567e-307 |
Compiled 178 to 123 computations (30.9% saved)
| Inputs |
|---|
0 |
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 1 (/.f64 (neg.f64 a) b)) |
(/.f64 1 (/.f64 (neg.f64 b) c)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
(*.f64 (*.f64 b -2) (/.f64 1/2 a)) |
| Outputs |
|---|
(/.f64 (neg.f64 b) a) |
(/.f64 (neg.f64 c) b) |
3 calls:
| 104.0ms | c |
| 43.0ms | a |
| 18.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 35.7b | 6 | a |
| 23.0b | 2 | b |
| 34.6b | 9 | c |
Compiled 61 to 38 computations (37.7% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 62.0ms | 1.2015892780092275e-278 | 1.7900162886927156e-272 |
Compiled 170 to 127 computations (25.3% saved)
| Inputs |
|---|
0 |
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
| Outputs |
|---|
(/.f64 (neg.f64 c) b) |
3 calls:
| 6.0ms | b |
| 4.0ms | c |
| 4.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 39.4b | 1 | a |
| 39.4b | 1 | b |
| 39.4b | 1 | c |
Compiled 26 to 17 computations (34.6% saved)
Total -8.1b remaining (-14.8%)
Threshold costs -8.1b (-14.8%)
| Inputs |
|---|
0 |
(/.f64 c b) |
(/.f64 b a) |
| Outputs |
|---|
0 |
3 calls:
| 4.0ms | a |
| 4.0ms | b |
| 4.0ms | c |
| Error | Segments | Branch |
|---|---|---|
| 54.9b | 1 | a |
| 54.9b | 1 | b |
| 54.9b | 1 | c |
Compiled 22 to 15 computations (31.8% saved)
| 1× | egg-herbie |
| 24× | *-commutative_binary64 |
| 23× | +-commutative_binary64 |
| 18× | sub-neg_binary64 |
| 12× | neg-sub0_binary64 |
| 12× | neg-mul-1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 600 |
| 1 | 142 | 584 |
| 2 | 186 | 584 |
| 3 | 208 | 584 |
| 4 | 220 | 584 |
| 5 | 222 | 584 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 b -209715200000000000/131072) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -5734320158758965/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 a c))))))) (*.f64 2 a)) (if (<=.f64 b 811820827772699008/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a))))) -1) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 a c))))))) (*.f64 2 a)) (/.f64 (neg.f64 c) b))))) |
(if (<=.f64 b -209715200000000000/131072) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -5734320158758965/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (if (<=.f64 b 811820827772699008/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a))))) -1) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.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 -209715200000000000/131072) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -5734320158758965/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (if (<=.f64 b 811820827772699008/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.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 -209715200000000000/131072) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.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 -209715200000000000/131072) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))) b) (/.f64 1/2 a)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b -37796565967143784/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a) -2) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b -8575876330031999/19490628022799998160706764775750376621752453715190015053735812914425897381532852204931230131764020518450609832462817336366918339730406188093155974592625306839062555399912946059741579310980107296705599186958436757747371195850789749891492727230937931225655477606208555094163657179983828221952) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))) |
(if (<=.f64 b -1454766195646295/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (neg.f64 c) b)) |
(if (<=.f64 b 3895880284211773/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568) (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
0 |
| Outputs |
|---|
(if (<=.f64 b -209715200000000000/131072) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -5734320158758965/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 a c))))))) (*.f64 2 a)) (if (<=.f64 b 811820827772699008/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a))))) -1) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 a c))))))) (*.f64 2 a)) (/.f64 (neg.f64 c) b))))) |
(if (<=.f64 b -1600000000000) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -5734320158758965/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 c a))))))) (*.f64 a 2)) (if (<=.f64 b 6342350216974211/960962154087001629436308185025184878247905227974336452694771122017616840015261658617268505418282416748614914455642299215255384405286687137505466996049907860485085046091635529899088428785810612776957410293491536147754283397719630991265870577566668501257551872) (pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4))))) -1) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 c a))))))) (*.f64 a 2)) (/.f64 (neg.f64 c) b))))) |
(if (<=.f64 b -1600000000000) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -5734320158758965/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 c a)))))) b) (*.f64 a 2)) (if (<=.f64 b 6342350216974211/960962154087001629436308185025184878247905227974336452694771122017616840015261658617268505418282416748614914455642299215255384405286687137505466996049907860485085046091635529899088428785810612776957410293491536147754283397719630991265870577566668501257551872) (pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4))))) -1) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 c a)))))) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b))))) |
(if (<=.f64 b -209715200000000000/131072) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -5734320158758965/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (if (<=.f64 b 811820827772699008/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a))))) -1) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.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 -1600000000000) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -5734320158758965/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))) (*.f64 a 2)) (if (<=.f64 b 6342350216974211/960962154087001629436308185025184878247905227974336452694771122017616840015261658617268505418282416748614914455642299215255384405286687137505466996049907860485085046091635529899088428785810612776957410293491536147754283397719630991265870577566668501257551872) (pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4))))) -1) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.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 -1600000000000) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -5734320158758965/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b) (*.f64 a 2)) (if (<=.f64 b 6342350216974211/960962154087001629436308185025184878247905227974336452694771122017616840015261658617268505418282416748614914455642299215255384405286687137505466996049907860485085046091635529899088428785810612776957410293491536147754283397719630991265870577566668501257551872) (pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4))))) -1) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.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 -209715200000000000/131072) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -5734320158758965/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (if (<=.f64 b 811820827772699008/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.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 -1600000000000) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -5734320158758965/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))) (*.f64 a 2)) (if (<=.f64 b 6342350216974211/960962154087001629436308185025184878247905227974336452694771122017616840015261658617268505418282416748614914455642299215255384405286687137505466996049907860485085046091635529899088428785810612776957410293491536147754283397719630991265870577566668501257551872) (/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4)))) (*.f64 a 2)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.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 -1600000000000) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -5734320158758965/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b) (*.f64 a 2)) (if (<=.f64 b 6342350216974211/960962154087001629436308185025184878247905227974336452694771122017616840015261658617268505418282416748614914455642299215255384405286687137505466996049907860485085046091635529899088428785810612776957410293491536147754283397719630991265870577566668501257551872) (/.f64 (-.f64 (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4))) b) (*.f64 a 2)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.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 -209715200000000000/131072) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.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 -1600000000000) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.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 -1600000000000) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.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 -209715200000000000/131072) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))) b) (/.f64 1/2 a)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b -1600000000000) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 -4 (*.f64 c a)))) b) (/.f64 1/2 a)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b -37796565967143784/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a) -2) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b -4724570745892973/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) a) -2) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b -8575876330031999/19490628022799998160706764775750376621752453715190015053735812914425897381532852204931230131764020518450609832462817336366918339730406188093155974592625306839062555399912946059741579310980107296705599186958436757747371195850789749891492727230937931225655477606208555094163657179983828221952) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))) |
(if (<=.f64 b -1454766195646295/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (neg.f64 c) b)) |
(if (<=.f64 b 3895880284211773/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568) (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 c) b)) |
(if (<=.f64 b 3895880284211773/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568) (neg.f64 (/.f64 b a)) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
0 |
Compiled 426 to 273 computations (35.9% saved)
| 5× | egg-herbie |
| 981× | fma-def_binary64 |
| 981× | fma-def_binary64 |
| 978× | times-frac_binary64 |
| 978× | fma-def_binary64 |
| 919× | times-frac_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 | 146 | 1093 |
| 1 | 423 | 893 |
| 2 | 1543 | 854 |
| 3 | 6630 | 854 |
| 0 | 127 | 1929 |
| 1 | 397 | 1849 |
| 2 | 1375 | 1750 |
| 3 | 7828 | 1750 |
| 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 | 184 | 2477 |
| 1 | 582 | 2367 |
| 2 | 2117 | 2202 |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
Compiled 1024 to 732 computations (28.5% saved)
Compiled 396 to 198 computations (50% saved)
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