Time bar (total: 5.8s)
| 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% | 95.2% | 4.8% | 7 |
| 6.2% | 88.2% | 5.6% | 8 |
| 10.1% | 80.4% | 9.5% | 9 |
| 15.2% | 72.2% | 12.6% | 10 |
| 22.2% | 62.5% | 15.3% | 11 |
| 29.1% | 52.5% | 18.5% | 12 |
| 33.9% | 45.7% | 20.4% | 13 |
| 38.9% | 38.6% | 22.5% | 14 |
Compiled 17 to 11 computations (35.3% saved)
| 688.0ms | 5328× | body | 128 | valid |
| 680.0ms | 1166× | body | 2048 | valid |
| 320.0ms | 802× | body | 1024 | valid |
| 230.0ms | 392× | body | 4096 | valid |
| 120.0ms | 1023× | body | 128 | invalid |
| 111.0ms | 359× | body | 512 | valid |
| 48.0ms | 209× | body | 256 | valid |
| 2× | egg-herbie |
| 749× | rule-a-/a1_binary64 |
| 291× | fma-def_binary64 |
| 289× | fma-neg_binary64 |
| 154× | rule-/ab-*+aa/1/2b_binary64 |
| 149× | rule-*a-bc-*nega-cb_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 80 |
| 1 | 215 | 72 |
| 2 | 815 | 72 |
| 3 | 4483 | 72 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b_2 c)))) b_2) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) c) |
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 a b_2)))) a) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) |
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b_2 c)))) b_2) |
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b_2 c))) a) b_2) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) c) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) c) |
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) c) |
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 a b_2)))) a) |
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 b_2 a)))) a) |
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 b_2 a))) c) a) |
Compiled 16 to 10 computations (37.5% saved)
| 1× | egg-herbie |
| 258× | rule-a-*a1_binary64 |
| 258× | rule-a--a0_binary64 |
| 258× | rule-a-+a0_binary64 |
| 255× | rule-a-/a1_binary64 |
| 242× | rule-*b-ac--*ab*bc_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 20 |
| 1 | 76 | 18 |
| 2 | 306 | 18 |
| 3 | 1507 | 18 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 34.3b | (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) |
Compiled 58 to 30 computations (48.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) |
| ✓ | 0.7b | (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) |
| ✓ | 1.0b | (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
| ✓ | 23.6b | (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | a | @ | 0 | (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) |
| 2.0ms | a | @ | -inf | (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) |
| 1.0ms | a | @ | inf | (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) |
| 1.0ms | c | @ | inf | (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) |
| 1.0ms | a | @ | inf | (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) |
| 1× | batch-egg-rewrite |
| 283× | rule-*aa-fabs*aa_binary64 |
| 226× | rule-nega--0a_binary64 |
| 226× | rule-nega-/a-1_binary64 |
| 226× | rule-nega-*a-1_binary64 |
| 132× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 55 |
| 1 | 277 | 55 |
| 2 | 4276 | 55 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) |
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 a c) 2) (+.f64 (pow.f64 b_2 4) (*.f64 a (*.f64 (*.f64 b_2 b_2) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b_2 b_2) (neg.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (fma.f64 (neg.f64 a) c (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (fma.f64 -1 (*.f64 a c) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (cbrt.f64 (pow.f64 (*.f64 a c) 2)) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) (sqrt.f64 (*.f64 a c)) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a c) (*.f64 b_2 b_2)) (*.f64 (*.f64 a c) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 b_2 b_2 (*.f64 a c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3)) (-.f64 (pow.f64 b_2 6) (pow.f64 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a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (sqrt.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) b_2)) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) 2) (cbrt.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (sqrt.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) b_2)) (/.f64 1/2 a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a))))))) |
| 1× | egg-herbie |
| 402× | fma-def_binary64 |
| 303× | fma-neg_binary64 |
| 274× | rule-/ab-*+aa/1/2b_binary64 |
| 262× | rule-a-*a1_binary64 |
| 262× | rule-a--a0_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 158 | 2318 |
| 1 | 1226 | 2242 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (neg.f64 (*.f64 c a))) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a)))))) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))) (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a))))))) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a))))) (*.f64 1/16 (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 5)))))) |
b_2 |
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(*.f64 -1 b_2) |
(+.f64 (*.f64 -1 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))))) |
b_2 |
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
b_2 |
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(*.f64 -1 (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(pow.f64 b_2 2) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(pow.f64 b_2 2) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(pow.f64 b_2 2) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(*.f64 -1 (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(*.f64 -1 (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(pow.f64 b_2 2) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(*.f64 -1 (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(*.f64 -1 (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(sqrt.f64 (neg.f64 (*.f64 c a))) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (*.f64 -1 b_2)) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (+.f64 (*.f64 -1 b_2) (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a))))))) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))) (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a)))))))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (pow.f64 b_2 7))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(*.f64 -2 b_2) |
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (*.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (pow.f64 a 4)) b_2)) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6))) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) 2))) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a) |
(+.f64 (*.f64 -1 (/.f64 b_2 a)) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)) |
(+.f64 (*.f64 -1 (/.f64 b_2 a)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (*.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (*.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3) a))) (+.f64 (*.f64 -1 (/.f64 b_2 a)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (*.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)))) |
(*.f64 -1/2 (/.f64 c b_2)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (*.f64 a (pow.f64 b_2 7)))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))) |
(*.f64 -2 (/.f64 b_2 a)) |
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2))) |
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 c b_2)))) |
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 c b_2))))) |
(*.f64 -1/2 (/.f64 c b_2)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (*.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (pow.f64 a 3)) b_2)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))) |
(*.f64 -1/2 (/.f64 c b_2)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6))) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) 2))) (*.f64 a b_2))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))) |
| Outputs |
|---|
(sqrt.f64 (neg.f64 (*.f64 c a))) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a)))))) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (*.f64 1/2 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 (neg.f64 (*.f64 c a)))))) |
(fma.f64 1/2 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 c a))))) (sqrt.f64 (neg.f64 (*.f64 c a)))) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))) (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a))))))) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (fma.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3)) (*.f64 1/2 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 (neg.f64 (*.f64 c a))))))) |
(fma.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3)) (fma.f64 1/2 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 c a))))) (sqrt.f64 (neg.f64 (*.f64 c a))))) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a))))) (*.f64 1/16 (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 5)))))) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (fma.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3)) (fma.f64 1/2 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 (neg.f64 (*.f64 c a)))) (*.f64 1/16 (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 5)))))) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (fma.f64 1/2 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 c a))))) (fma.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3)) (*.f64 1/16 (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 5)))))) |
b_2 |
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 b_2 (*.f64 -1/2 (*.f64 a (/.f64 c b_2)))) |
(fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (*.f64 a (/.f64 c b_2))))) |
(fma.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 a (/.f64 a (pow.f64 b_2 3)))) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2)) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(fma.f64 -1/16 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (*.f64 a (/.f64 c b_2)))))) |
(fma.f64 -1/16 (*.f64 (pow.f64 c 3) (/.f64 (pow.f64 a 3) (pow.f64 b_2 5))) (fma.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 a (/.f64 a (pow.f64 b_2 3)))) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2))) |
(*.f64 -1 b_2) |
(*.f64 b_2 -1) |
(neg.f64 b_2) |
(+.f64 (*.f64 -1 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) |
(fma.f64 -1 b_2 (/.f64 (*.f64 (*.f64 c a) 1/2) b_2)) |
(fma.f64 1/2 (/.f64 a (/.f64 b_2 c)) (neg.f64 b_2)) |
(+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))) |
(fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (/.f64 (*.f64 (*.f64 c a) 1/2) b_2))) |
(fma.f64 (*.f64 (*.f64 c c) (*.f64 a (/.f64 a (pow.f64 b_2 3)))) 1/8 (fma.f64 1/2 (/.f64 a (/.f64 b_2 c)) (neg.f64 b_2))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))))) |
(fma.f64 1/16 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (/.f64 (*.f64 (*.f64 c a) 1/2) b_2)))) |
(fma.f64 1/16 (*.f64 (pow.f64 c 3) (/.f64 (pow.f64 a 3) (pow.f64 b_2 5))) (fma.f64 (*.f64 (*.f64 c c) (*.f64 a (/.f64 a (pow.f64 b_2 3)))) 1/8 (fma.f64 1/2 (/.f64 a (/.f64 b_2 c)) (neg.f64 b_2)))) |
b_2 |
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 b_2 (*.f64 -1/2 (*.f64 a (/.f64 c b_2)))) |
(fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (*.f64 a (/.f64 c b_2))))) |
(fma.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 a (/.f64 a (pow.f64 b_2 3)))) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2)) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(fma.f64 -1/16 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (*.f64 a (/.f64 c b_2)))))) |
(fma.f64 -1/16 (*.f64 (pow.f64 c 3) (/.f64 (pow.f64 a 3) (pow.f64 b_2 5))) (fma.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 a (/.f64 a (pow.f64 b_2 3)))) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2))) |
b_2 |
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 b_2 (*.f64 -1/2 (*.f64 a (/.f64 c b_2)))) |
(fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (*.f64 a (/.f64 c b_2))))) |
(fma.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 a (/.f64 a (pow.f64 b_2 3)))) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2)) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(fma.f64 -1/16 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (*.f64 a (/.f64 c b_2)))))) |
(fma.f64 -1/16 (*.f64 (pow.f64 c 3) (/.f64 (pow.f64 a 3) (pow.f64 b_2 5))) (fma.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 a (/.f64 a (pow.f64 b_2 3)))) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2))) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(pow.f64 b_2 2) |
(*.f64 b_2 b_2) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(pow.f64 b_2 2) |
(*.f64 b_2 b_2) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(pow.f64 b_2 2) |
(*.f64 b_2 b_2) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(pow.f64 b_2 2) |
(*.f64 b_2 b_2) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(sqrt.f64 (neg.f64 (*.f64 c a))) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (*.f64 -1 b_2)) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (*.f64 b_2 -1)) |
(fma.f64 b_2 -1 (sqrt.f64 (neg.f64 (*.f64 c a)))) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (+.f64 (*.f64 -1 b_2) (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a))))))) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (fma.f64 -1 b_2 (*.f64 1/2 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 (neg.f64 (*.f64 c a))))))) |
(fma.f64 b_2 -1 (fma.f64 1/2 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 c a))))) (sqrt.f64 (neg.f64 (*.f64 c a))))) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))) (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a)))))))) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (fma.f64 -1 b_2 (fma.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3)) (*.f64 1/2 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 (neg.f64 (*.f64 c a)))))))) |
(fma.f64 b_2 -1 (fma.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3)) (fma.f64 1/2 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 c a))))) (sqrt.f64 (neg.f64 (*.f64 c a)))))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(*.f64 -1/2 (*.f64 a (/.f64 c b_2))) |
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
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(fma.f64 -1/8 (*.f64 a (*.f64 c (/.f64 c (pow.f64 b_2 3)))) (fma.f64 -1/16 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (*.f64 -1/2 (+.f64 (*.f64 (pow.f64 a 3) (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) (pow.f64 (*.f64 -1/8 (*.f64 c (/.f64 c (pow.f64 b_2 3)))) 2)) b_2)) (/.f64 c b_2))))) |
(*.f64 -1/2 (/.f64 c b_2)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2))) |
(fma.f64 -1/8 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c b_2))) |
(fma.f64 -1/8 (*.f64 a (*.f64 c (/.f64 c (pow.f64 b_2 3)))) (*.f64 -1/2 (/.f64 c b_2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))) |
(fma.f64 -1/8 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b_2 3)) (fma.f64 -1/16 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))) |
(fma.f64 -1/8 (*.f64 a (*.f64 c (/.f64 c (pow.f64 b_2 3)))) (fma.f64 -1/2 (/.f64 c b_2) (*.f64 (*.f64 a a) (*.f64 -1/16 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6))) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) 2))) (*.f64 a b_2))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))) |
(fma.f64 -1/2 (*.f64 (fma.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) (pow.f64 (*.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 b_2 3))) 2)) (/.f64 (pow.f64 c 4) (*.f64 a b_2))) (fma.f64 -1/8 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b_2 3)) (fma.f64 -1/16 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))) |
(fma.f64 -1/2 (*.f64 (fma.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) (pow.f64 (*.f64 -1/8 (*.f64 a (/.f64 a (pow.f64 b_2 3)))) 2)) (/.f64 (pow.f64 c 4) (*.f64 a b_2))) (fma.f64 -1/8 (*.f64 a (*.f64 c (/.f64 c (pow.f64 b_2 3)))) (fma.f64 -1/2 (/.f64 c b_2) (*.f64 (*.f64 a a) (*.f64 -1/16 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))))))) |
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 249 | 11 | 260 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 250 | 11 | 261 |
| Status | Error | Program |
|---|---|---|
| 45.7b | (pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) 3) | |
| 41.2b | (*.f64 -1/2 (/.f64 c b_2)) | |
| 43.3b | (/.f64 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)) b_2) a) | |
| 42.5b | (fma.f64 -1/8 (*.f64 a (*.f64 c (/.f64 c (pow.f64 b_2 3)))) (*.f64 -1/2 (/.f64 c b_2))) | |
| 57.0b | (/.f64 (-.f64 b_2 b_2) a) | |
| 54.4b | (pow.f64 (sqrt.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) 2) | |
| 35.4b | (/.f64 (-.f64 (sqrt.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2))) b_2) a) | |
| 45.5b | (*.f64 (sqrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (/.f64 (sqrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a)) | |
| ▶ | 34.3b | (-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a)) |
| 45.9b | (/.f64 (-.f64 (neg.f64 b_2) b_2) a) | |
| 45.9b | (fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a))) |
Compiled 6179 to 2330 computations (62.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) |
| 1.0b | (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) | |
| ✓ | 7.3b | (-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a)) |
| 23.6b | (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | -inf | (-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a)) |
| 1.0ms | b_2 | @ | inf | (-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a)) |
| 1.0ms | b_2 | @ | 0 | (-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a)) |
| 1.0ms | c | @ | inf | (-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a)) |
| 1.0ms | a | @ | inf | (-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a)) |
| 1× | batch-egg-rewrite |
| 246× | rule-nega-/a-1_binary64 |
| 246× | rule-nega-*a-1_binary64 |
| 143× | add-sqr-sqrt_binary64 |
| 139× | pow1_binary64 |
| 139× | rules-30_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 33 |
| 1 | 302 | 33 |
| 2 | 4635 | 33 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a)) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (fma.f64 -1 (/.f64 b_2 a) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b_2 a))) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 b_2 a))) (sqrt.f64 (/.f64 b_2 a)) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (fma.f64 (neg.f64 (/.f64 1/2 a)) (+.f64 b_2 b_2) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 b_2 a) (neg.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))) (*.f64 (/.f64 b_2 a) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)) 2) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)) (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) 3) (pow.f64 (/.f64 b_2 a) 3)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) 3) (pow.f64 (/.f64 b_2 a) 3))) (/.f64 1/2 (+.f64 (pow.f64 (/.f64 b_2 a) 2) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) 2) (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) (sqrt.f64 (/.f64 b_2 a))) (+.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) (sqrt.f64 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) 3) (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) 3) (pow.f64 (/.f64 b_2 a) 3)) (+.f64 (pow.f64 (/.f64 b_2 a) 2) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) 2) (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) 3) (pow.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) 3)) (+.f64 (*.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (+.f64 (*.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) 1 (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)) 2) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) 2) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)) (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 1/2 a) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) 2) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) 2) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 1/2 a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))))))) |
| 1× | egg-herbie |
| 751× | rule-a-+a0_binary64 |
| 738× | rule-a-/a1_binary64 |
| 261× | fma-def_binary64 |
| 219× | fma-neg_binary64 |
| 195× | rule-a-*a1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 117 | 1253 |
| 1 | 903 | 1227 |
| 2 | 4008 | 1227 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a) |
(+.f64 (*.f64 -1 (/.f64 b_2 a)) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)) |
(+.f64 (*.f64 -1 (/.f64 b_2 a)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (*.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (*.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3) a))) (+.f64 (*.f64 -1 (/.f64 b_2 a)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (*.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)))) |
(*.f64 -1/2 (/.f64 c b_2)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (*.f64 a (pow.f64 b_2 7)))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))) |
(*.f64 -2 (/.f64 b_2 a)) |
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2))) |
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 c b_2)))) |
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 c b_2))))) |
(*.f64 -1/2 (/.f64 c b_2)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (*.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (pow.f64 a 3)) b_2)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))) |
(*.f64 -1/2 (/.f64 c b_2)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6))) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) 2))) (*.f64 a b_2))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))) |
(/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (*.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (*.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3) a))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (*.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (*.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3) a))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 b_2 6) (*.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 5) a))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (*.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)))) |
(/.f64 b_2 a) |
(+.f64 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2)))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (/.f64 b_2 a) (+.f64 (*.f64 -1/2 (/.f64 c b_2)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5)))))) |
(*.f64 -1 (/.f64 b_2 a)) |
(+.f64 (*.f64 -1 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2))))) |
(/.f64 b_2 a) |
(+.f64 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2)))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (/.f64 b_2 a) (+.f64 (*.f64 -1/2 (/.f64 c b_2)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5)))))) |
(/.f64 b_2 a) |
(+.f64 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2)))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (/.f64 b_2 a) (+.f64 (*.f64 -1/2 (/.f64 c b_2)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5)))))) |
| Outputs |
|---|
(/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a) |
(/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a) |
(+.f64 (*.f64 -1 (/.f64 b_2 a)) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)) |
(fma.f64 -1 (/.f64 b_2 a) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)) |
(/.f64 (+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (neg.f64 b_2)) a) |
(/.f64 (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) (neg.f64 b_2)) a) |
(+.f64 (*.f64 -1 (/.f64 b_2 a)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (*.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))) |
(fma.f64 -1 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 (neg.f64 (*.f64 c a)))) a) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))) |
(fma.f64 1/2 (/.f64 (*.f64 b_2 b_2) (*.f64 a (sqrt.f64 (neg.f64 (*.f64 c a))))) (/.f64 (+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (neg.f64 b_2)) a)) |
(fma.f64 1/2 (/.f64 (*.f64 b_2 b_2) (*.f64 a (sqrt.f64 (*.f64 c (neg.f64 a))))) (/.f64 (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) (neg.f64 b_2)) a)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (*.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3) a))) (+.f64 (*.f64 -1 (/.f64 b_2 a)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (*.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)))) |
(fma.f64 -1/8 (/.f64 (pow.f64 b_2 4) (*.f64 a (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))) (fma.f64 -1 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 (neg.f64 (*.f64 c a)))) a) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)))) |
(fma.f64 -1/8 (/.f64 (pow.f64 b_2 4) (*.f64 a (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))) (fma.f64 1/2 (/.f64 (*.f64 b_2 b_2) (*.f64 a (sqrt.f64 (neg.f64 (*.f64 c a))))) (/.f64 (+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (neg.f64 b_2)) a))) |
(fma.f64 -1/8 (/.f64 (pow.f64 b_2 4) (*.f64 a (pow.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) 3))) (fma.f64 1/2 (/.f64 (*.f64 b_2 b_2) (*.f64 a (sqrt.f64 (*.f64 c (neg.f64 a))))) (/.f64 (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) (neg.f64 b_2)) a))) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 -1/2 (/.f64 b_2 c)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2))) |
(fma.f64 -1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (/.f64 -1/2 (/.f64 b_2 c))) |
(fma.f64 -1/8 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c b_2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))) |
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(+.f64 (/.f64 b_2 a) (fma.f64 -1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (/.f64 -1/2 (/.f64 b_2 c)))) |
(fma.f64 -1/8 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b_2 3)) (fma.f64 -1/2 (/.f64 c b_2) (/.f64 b_2 a))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (/.f64 b_2 a) (+.f64 (*.f64 -1/2 (/.f64 c b_2)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5)))))) |
(+.f64 (/.f64 b_2 a) (fma.f64 -1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 c b_2) (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) -1/16) (pow.f64 b_2 5))))) |
(+.f64 (*.f64 -1/16 (*.f64 (pow.f64 c 3) (/.f64 (*.f64 a a) (pow.f64 b_2 5)))) (fma.f64 -1/8 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b_2 3)) (fma.f64 -1/2 (/.f64 c b_2) (/.f64 b_2 a)))) |
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 256 | 2 | 258 |
| Fresh | 2 | 8 | 10 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 258 | 11 | 269 |
| Status | Error | Program |
|---|---|---|
| 35.2b | (-.f64 (/.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2) a) (/.f64 b_2 a)) | |
| 54.4b | (pow.f64 (sqrt.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) 2) | |
| ✓ | 34.3b | (-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a)) |
| ▶ | 34.3b | (/.f64 1 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))) |
| 43.3b | (/.f64 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)) b_2) a) | |
| 42.5b | (fma.f64 -1/8 (*.f64 a (*.f64 c (/.f64 c (pow.f64 b_2 3)))) (*.f64 -1/2 (/.f64 c b_2))) | |
| 57.0b | (/.f64 (-.f64 b_2 b_2) a) | |
| 41.2b | (*.f64 -1/2 (/.f64 c b_2)) | |
| 35.4b | (/.f64 (-.f64 (sqrt.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2))) b_2) a) | |
| 45.9b | (/.f64 (-.f64 (neg.f64 b_2) b_2) a) | |
| 45.9b | (fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a))) |
Compiled 6285 to 2045 computations (67.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 1 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))) |
| 0.7b | (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) | |
| 1.0b | (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) | |
| 23.6b | (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | a | @ | -inf | (/.f64 1 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))) |
| 0.0ms | a | @ | 0 | (/.f64 1 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))) |
| 0.0ms | a | @ | inf | (/.f64 1 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))) |
| 0.0ms | c | @ | -inf | (/.f64 1 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))) |
| 0.0ms | c | @ | inf | (/.f64 1 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))) |
| 1× | batch-egg-rewrite |
| 247× | rule-nega-*a-1_binary64 |
| 147× | add-sqr-sqrt_binary64 |
| 142× | pow1_binary64 |
| 142× | rules-30_binary64 |
| 142× | rules-31_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 18 |
| 1 | 325 | 18 |
| 2 | 4756 | 18 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) a) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c))))) a) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c))))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a)) 2) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2)) 2) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a)) (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2)) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2)) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2))) -1) (pow.f64 (sqrt.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 a a) -1) (pow.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a)) 2) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a)) (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (*.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) a))))))) |
| 1× | egg-herbie |
| 671× | rule-a--a0_binary64 |
| 671× | rule-a-+a0_binary64 |
| 658× | rule-a-/a1_binary64 |
| 198× | fma-neg_binary64 |
| 183× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 101 | 698 |
| 1 | 778 | 688 |
| 2 | 3544 | 688 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 (/.f64 c b_2)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (*.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (pow.f64 a 3)) b_2)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))) |
(/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a) |
(+.f64 (*.f64 -1 (/.f64 b_2 a)) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)) |
(+.f64 (*.f64 -1 (/.f64 b_2 a)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (*.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (*.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3) a))) (+.f64 (*.f64 -1 (/.f64 b_2 a)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (*.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)))) |
(*.f64 -1/2 (/.f64 c b_2)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (*.f64 a (pow.f64 b_2 7)))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))) |
(*.f64 -2 (/.f64 b_2 a)) |
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2))) |
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 c b_2)))) |
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 c b_2))))) |
(*.f64 -1/2 (/.f64 c b_2)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6))) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) 2))) (*.f64 a b_2))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))) |
| Outputs |
|---|
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 c -1/2) b_2) |
(/.f64 (*.f64 -1/2 c) b_2) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2))) |
(fma.f64 -1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (/.f64 (*.f64 c -1/2) b_2)) |
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (*.f64 (*.f64 c c) a)))) |
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (*.f64 c (*.f64 c a))))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))) |
(fma.f64 -1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/16 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (/.f64 (*.f64 c -1/2) b_2))) |
(fma.f64 -1/8 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 c b_2) (/.f64 (*.f64 -1/16 (*.f64 a (*.f64 (pow.f64 c 3) a))) (pow.f64 b_2 5)))) |
(fma.f64 -1/8 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/16 (/.f64 (/.f64 (pow.f64 b_2 5) (*.f64 a a)) (pow.f64 c 3))))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (*.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (pow.f64 a 3)) b_2)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))) |
(fma.f64 -1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -1/8 (/.f64 (*.f64 c c) (pow.f64 b_2 3))) 2) (*.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (pow.f64 a 3)) b_2) (fma.f64 -1/16 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (/.f64 (*.f64 c -1/2) b_2)))) |
(fma.f64 -1/8 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b_2 3))) (fma.f64 -1/16 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (fma.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) (pow.f64 (*.f64 -1/8 (/.f64 (*.f64 c c) (pow.f64 b_2 3))) 2)) (pow.f64 a 3))) (*.f64 -1/2 c)) b_2))) |
(fma.f64 -1/8 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b_2 3))) (fma.f64 -1/16 (*.f64 (pow.f64 c 3) (/.f64 (*.f64 a a) (pow.f64 b_2 5))) (*.f64 -1/2 (+.f64 (*.f64 (fma.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) (pow.f64 (*.f64 -1/8 (*.f64 c (/.f64 c (pow.f64 b_2 3)))) 2)) (/.f64 (pow.f64 a 3) b_2)) (/.f64 c b_2))))) |
(/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a) |
(/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a) |
(+.f64 (*.f64 -1 (/.f64 b_2 a)) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)) |
(fma.f64 -1 (/.f64 b_2 a) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 c a)))) a) |
(/.f64 (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) (neg.f64 b_2)) a) |
(+.f64 (*.f64 -1 (/.f64 b_2 a)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (*.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))) |
(fma.f64 -1 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 (neg.f64 (*.f64 c a)))) a) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))) |
(fma.f64 1/2 (*.f64 b_2 (/.f64 b_2 (*.f64 a (sqrt.f64 (neg.f64 (*.f64 c a)))))) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 c a)))) a)) |
(fma.f64 1/2 (/.f64 (*.f64 b_2 b_2) (*.f64 a (sqrt.f64 (*.f64 c (neg.f64 a))))) (/.f64 (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) (neg.f64 b_2)) a)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (*.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3) a))) (+.f64 (*.f64 -1 (/.f64 b_2 a)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (*.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)))) |
(fma.f64 -1/8 (/.f64 (pow.f64 b_2 4) (*.f64 a (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))) (fma.f64 -1 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 (neg.f64 (*.f64 c a)))) a) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)))) |
(fma.f64 -1/8 (/.f64 (/.f64 (pow.f64 b_2 4) a) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3)) (fma.f64 1/2 (*.f64 b_2 (/.f64 b_2 (*.f64 a (sqrt.f64 (neg.f64 (*.f64 c a)))))) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 c a)))) a))) |
(fma.f64 -1/8 (/.f64 (pow.f64 b_2 4) (*.f64 a (pow.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) 3))) (fma.f64 1/2 (/.f64 (*.f64 b_2 b_2) (*.f64 a (sqrt.f64 (*.f64 c (neg.f64 a))))) (/.f64 (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) (neg.f64 b_2)) a))) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 c -1/2) b_2) |
(/.f64 (*.f64 -1/2 c) b_2) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2))) |
(fma.f64 -1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (/.f64 (*.f64 c -1/2) b_2)) |
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (*.f64 (*.f64 c c) a)))) |
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (*.f64 c (*.f64 c a))))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))) |
(fma.f64 -1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/16 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (/.f64 (*.f64 c -1/2) b_2))) |
(fma.f64 -1/8 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 c b_2) (/.f64 (*.f64 -1/16 (*.f64 a (*.f64 (pow.f64 c 3) a))) (pow.f64 b_2 5)))) |
(fma.f64 -1/8 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/16 (/.f64 (/.f64 (pow.f64 b_2 5) (*.f64 a a)) (pow.f64 c 3))))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (*.f64 a (pow.f64 b_2 7)))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))) |
(fma.f64 -1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 a a))) 2)) (*.f64 a (pow.f64 b_2 7))) (fma.f64 -1/16 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (/.f64 (*.f64 c -1/2) b_2)))) |
(fma.f64 -1/8 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b_2 3))) (fma.f64 -1/16 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (*.f64 -1/2 (+.f64 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 a a))) 2)) (*.f64 a (pow.f64 b_2 7))) (/.f64 c b_2))))) |
(fma.f64 -1/8 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b_2 3))) (fma.f64 -1/16 (*.f64 (pow.f64 c 3) (/.f64 (*.f64 a a) (pow.f64 b_2 5))) (*.f64 -1/2 (+.f64 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 a a))) 2)) (*.f64 a (pow.f64 b_2 7))) (/.f64 c b_2))))) |
(*.f64 -2 (/.f64 b_2 a)) |
(*.f64 (/.f64 b_2 a) -2) |
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2))) |
(fma.f64 -2 (/.f64 b_2 a) (*.f64 (/.f64 c b_2) 1/2)) |
(fma.f64 (/.f64 c b_2) 1/2 (*.f64 (/.f64 b_2 a) -2)) |
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 c b_2)))) |
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (*.f64 (/.f64 c b_2) 1/2))) |
(fma.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b_2 3))) 1/8 (fma.f64 (/.f64 c b_2) 1/2 (*.f64 (/.f64 b_2 a) -2))) |
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 c b_2))))) |
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 1/16 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (*.f64 (/.f64 c b_2) 1/2)))) |
(fma.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b_2 3))) 1/8 (fma.f64 (/.f64 b_2 a) -2 (fma.f64 (/.f64 c b_2) 1/2 (*.f64 (*.f64 a a) (*.f64 1/16 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))))))) |
(*.f64 -1/2 (/.f64 c b_2)) |
(/.f64 (*.f64 c -1/2) b_2) |
(/.f64 (*.f64 -1/2 c) b_2) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2))) |
(fma.f64 -1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (/.f64 (*.f64 c -1/2) b_2)) |
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (*.f64 (*.f64 c c) a)))) |
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (*.f64 c (*.f64 c a))))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))) |
(fma.f64 -1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/16 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (/.f64 (*.f64 c -1/2) b_2))) |
(fma.f64 -1/8 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 c b_2) (/.f64 (*.f64 -1/16 (*.f64 a (*.f64 (pow.f64 c 3) a))) (pow.f64 b_2 5)))) |
(fma.f64 -1/8 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/16 (/.f64 (/.f64 (pow.f64 b_2 5) (*.f64 a a)) (pow.f64 c 3))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6))) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) 2))) (*.f64 a b_2))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))) |
(fma.f64 -1/2 (*.f64 (fma.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) (pow.f64 (/.f64 (*.f64 (*.f64 a a) -1/8) (pow.f64 b_2 3)) 2)) (/.f64 (pow.f64 c 4) (*.f64 b_2 a))) (fma.f64 -1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/16 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (/.f64 (*.f64 c -1/2) b_2)))) |
(fma.f64 -1/2 (*.f64 (pow.f64 c 4) (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) (pow.f64 (*.f64 -1/8 (*.f64 a (/.f64 a (pow.f64 b_2 3)))) 2)) (*.f64 b_2 a))) (fma.f64 -1/8 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 c b_2) (/.f64 (*.f64 -1/16 (*.f64 a (*.f64 (pow.f64 c 3) a))) (pow.f64 b_2 5))))) |
(fma.f64 -1/2 (*.f64 (pow.f64 c 4) (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) (pow.f64 (*.f64 -1/8 (*.f64 a (/.f64 a (pow.f64 b_2 3)))) 2)) (*.f64 b_2 a))) (fma.f64 -1/8 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/16 (/.f64 (/.f64 (pow.f64 b_2 5) (*.f64 a a)) (pow.f64 c 3)))))) |
14 alts after pruning (12 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 264 | 5 | 269 |
| Fresh | 2 | 7 | 9 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 266 | 14 | 280 |
| Status | Error | Program |
|---|---|---|
| 35.2b | (-.f64 (/.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2) a) (/.f64 b_2 a)) | |
| 54.4b | (pow.f64 (sqrt.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) 2) | |
| ✓ | 34.3b | (-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a)) |
| ✓ | 34.3b | (/.f64 1 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))) |
| 45.9b | (/.f64 1 (/.f64 a (*.f64 b_2 -2))) | |
| 42.5b | (fma.f64 -1/8 (*.f64 a (*.f64 c (/.f64 c (pow.f64 b_2 3)))) (*.f64 -1/2 (/.f64 c b_2))) | |
| 57.0b | (/.f64 (-.f64 b_2 b_2) a) | |
| 41.2b | (*.f64 -1/2 (/.f64 c b_2)) | |
| 35.4b | (/.f64 (-.f64 (sqrt.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2))) b_2) a) | |
| 35.9b | (/.f64 1 (/.f64 a (-.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 3) b_2))) | |
| 53.2b | (sqrt.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2)) -2)) | |
| ▶ | 34.4b | (*.f64 (pow.f64 (+.f64 a a) -1) (pow.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2)) -1)) |
| 45.9b | (fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a))) | |
| 46.1b | (/.f64 1 (/.f64 a (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))))) |
Compiled 6742 to 2819 computations (58.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (pow.f64 (+.f64 a a) -1) (pow.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2)) -1)) |
| ✓ | 0.7b | (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) |
| ✓ | 1.2b | (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c))) |
| ✓ | 23.6b | (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | c | @ | inf | (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) |
| 1.0ms | a | @ | -inf | (*.f64 (pow.f64 (+.f64 a a) -1) (pow.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2)) -1)) |
| 1.0ms | a | @ | inf | (*.f64 (pow.f64 (+.f64 a a) -1) (pow.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2)) -1)) |
| 1.0ms | b_2 | @ | 0 | (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) |
| 0.0ms | a | @ | 0 | (*.f64 (pow.f64 (+.f64 a a) -1) (pow.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2)) -1)) |
| 1× | batch-egg-rewrite |
| 185× | add-sqr-sqrt_binary64 |
| 180× | pow1_binary64 |
| 180× | rules-30_binary64 |
| 180× | rules-31_binary64 |
| 180× | rules-32_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 64 |
| 1 | 424 | 58 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) |
(fma.f64 b_2 b_2 (neg.f64 (*.f64 a c))) |
(-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2) |
(*.f64 (pow.f64 (+.f64 a a) -1) (pow.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2)) -1)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1) (*.f64 (/.f64 1 (+.f64 a a)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1) (*.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) 1/2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1) (*.f64 (/.f64 1 (+.f64 a a)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1) (*.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) 1/2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1) (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1)) (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (+.f64 a a)) (/.f64 1/2 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) 1/2) (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) 1/2) (/.f64 1 (/.f64 1 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1) (*.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1) (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 a a)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) 1/2) (/.f64 1 (+.f64 a a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1)) (cbrt.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1))) (cbrt.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1)) (sqrt.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1))))))) |
| 1× | egg-herbie |
| 402× | fma-def_binary64 |
| 303× | fma-neg_binary64 |
| 274× | rule-/ab-*+aa/1/2b_binary64 |
| 262× | rule-a-*a1_binary64 |
| 262× | rule-a--a0_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 158 | 2318 |
| 1 | 1226 | 2242 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (neg.f64 (*.f64 c a))) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a)))))) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))) (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a))))))) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a))))) (*.f64 1/16 (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 5)))))) |
b_2 |
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(*.f64 -1 b_2) |
(+.f64 (*.f64 -1 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))))) |
b_2 |
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
b_2 |
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(*.f64 -1 (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(pow.f64 b_2 2) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(pow.f64 b_2 2) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(pow.f64 b_2 2) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(*.f64 -1 (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(*.f64 -1 (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(pow.f64 b_2 2) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(*.f64 -1 (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(*.f64 -1 (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(sqrt.f64 (neg.f64 (*.f64 c a))) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (*.f64 -1 b_2)) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (+.f64 (*.f64 -1 b_2) (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a))))))) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))) (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a)))))))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (pow.f64 b_2 7))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(*.f64 -2 b_2) |
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (*.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (pow.f64 a 4)) b_2)) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6))) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) 2))) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(*.f64 -1/2 (/.f64 c b_2)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (*.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (pow.f64 a 3)) b_2)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))) |
(/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a) |
(+.f64 (*.f64 -1 (/.f64 b_2 a)) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)) |
(+.f64 (*.f64 -1 (/.f64 b_2 a)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (*.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (*.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3) a))) (+.f64 (*.f64 -1 (/.f64 b_2 a)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (*.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)))) |
(*.f64 -1/2 (/.f64 c b_2)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (*.f64 a (pow.f64 b_2 7)))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))) |
(*.f64 -2 (/.f64 b_2 a)) |
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2))) |
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 c b_2)))) |
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 c b_2))))) |
(*.f64 -1/2 (/.f64 c b_2)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6))) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) 2))) (*.f64 a b_2))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))) |
| Outputs |
|---|
(sqrt.f64 (neg.f64 (*.f64 c a))) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a)))))) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (*.f64 1/2 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 (neg.f64 (*.f64 c a)))))) |
(fma.f64 1/2 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 c a))))) (sqrt.f64 (neg.f64 (*.f64 c a)))) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))) (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a))))))) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (fma.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3)) (*.f64 1/2 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 (neg.f64 (*.f64 c a))))))) |
(fma.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3)) (fma.f64 1/2 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 c a))))) (sqrt.f64 (neg.f64 (*.f64 c a))))) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a))))) (*.f64 1/16 (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 5)))))) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (fma.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3)) (fma.f64 1/2 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 (neg.f64 (*.f64 c a)))) (*.f64 1/16 (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 5)))))) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (fma.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3)) (fma.f64 1/2 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 c a))))) (*.f64 1/16 (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 5)))))) |
b_2 |
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 b_2 (*.f64 -1/2 (*.f64 a (/.f64 c b_2)))) |
(fma.f64 -1/2 (*.f64 a (/.f64 c b_2)) b_2) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (*.f64 a (/.f64 c b_2))))) |
(fma.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 a (/.f64 a (pow.f64 b_2 3)))) (fma.f64 -1/2 (*.f64 a (/.f64 c b_2)) b_2)) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(fma.f64 -1/16 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (*.f64 a (/.f64 c b_2)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 a (/.f64 a (pow.f64 b_2 3)))) (fma.f64 -1/16 (*.f64 (pow.f64 c 3) (/.f64 (pow.f64 a 3) (pow.f64 b_2 5))) (fma.f64 -1/2 (*.f64 a (/.f64 c b_2)) b_2))) |
(*.f64 -1 b_2) |
(*.f64 b_2 -1) |
(neg.f64 b_2) |
(+.f64 (*.f64 -1 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) |
(fma.f64 -1 b_2 (*.f64 1/2 (*.f64 a (/.f64 c b_2)))) |
(fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (neg.f64 b_2)) |
(+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))) |
(fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (*.f64 1/2 (*.f64 a (/.f64 c b_2))))) |
(fma.f64 (*.f64 (*.f64 c c) (*.f64 a (/.f64 a (pow.f64 b_2 3)))) 1/8 (fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (neg.f64 b_2))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))))) |
(fma.f64 1/16 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (*.f64 1/2 (*.f64 a (/.f64 c b_2)))))) |
(fma.f64 1/16 (*.f64 (pow.f64 c 3) (/.f64 (pow.f64 a 3) (pow.f64 b_2 5))) (fma.f64 (*.f64 (*.f64 c c) (*.f64 a (/.f64 a (pow.f64 b_2 3)))) 1/8 (fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (neg.f64 b_2)))) |
b_2 |
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 b_2 (*.f64 -1/2 (*.f64 a (/.f64 c b_2)))) |
(fma.f64 -1/2 (*.f64 a (/.f64 c b_2)) b_2) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (*.f64 a (/.f64 c b_2))))) |
(fma.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 a (/.f64 a (pow.f64 b_2 3)))) (fma.f64 -1/2 (*.f64 a (/.f64 c b_2)) b_2)) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(fma.f64 -1/16 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (*.f64 a (/.f64 c b_2)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 a (/.f64 a (pow.f64 b_2 3)))) (fma.f64 -1/16 (*.f64 (pow.f64 c 3) (/.f64 (pow.f64 a 3) (pow.f64 b_2 5))) (fma.f64 -1/2 (*.f64 a (/.f64 c b_2)) b_2))) |
b_2 |
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) |
(+.f64 b_2 (*.f64 -1/2 (*.f64 a (/.f64 c b_2)))) |
(fma.f64 -1/2 (*.f64 a (/.f64 c b_2)) b_2) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))) |
(fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (*.f64 a (/.f64 c b_2))))) |
(fma.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 a (/.f64 a (pow.f64 b_2 3)))) (fma.f64 -1/2 (*.f64 a (/.f64 c b_2)) b_2)) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) |
(fma.f64 -1/16 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (*.f64 a (/.f64 c b_2)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 a (/.f64 a (pow.f64 b_2 3)))) (fma.f64 -1/16 (*.f64 (pow.f64 c 3) (/.f64 (pow.f64 a 3) (pow.f64 b_2 5))) (fma.f64 -1/2 (*.f64 a (/.f64 c b_2)) b_2))) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(pow.f64 b_2 2) |
(*.f64 b_2 b_2) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(pow.f64 b_2 2) |
(*.f64 b_2 b_2) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(pow.f64 b_2 2) |
(*.f64 b_2 b_2) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(pow.f64 b_2 2) |
(*.f64 b_2 b_2) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(*.f64 -1 (*.f64 c a)) |
(neg.f64 (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2)) |
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(sqrt.f64 (neg.f64 (*.f64 c a))) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (*.f64 -1 b_2)) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (*.f64 b_2 -1)) |
(fma.f64 b_2 -1 (sqrt.f64 (neg.f64 (*.f64 c a)))) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (+.f64 (*.f64 -1 b_2) (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a))))))) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (fma.f64 -1 b_2 (*.f64 1/2 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 (neg.f64 (*.f64 c a))))))) |
(fma.f64 b_2 -1 (fma.f64 1/2 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 c a))))) (sqrt.f64 (neg.f64 (*.f64 c a))))) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))) (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a)))))))) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (fma.f64 -1 b_2 (fma.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3)) (*.f64 1/2 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 (neg.f64 (*.f64 c a)))))))) |
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(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 c b_2)))) |
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b_2 3)) (*.f64 1/2 (/.f64 c b_2)))) |
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (*.f64 a (*.f64 1/8 (/.f64 (*.f64 c c) (pow.f64 b_2 3)))))) |
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 c b_2))))) |
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b_2 3)) (fma.f64 1/16 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 c b_2))))) |
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/16 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 1/2 (/.f64 c b_2) (*.f64 a (*.f64 1/8 (/.f64 (*.f64 c c) (pow.f64 b_2 3))))))) |
(*.f64 -1/2 (/.f64 c b_2)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2))) |
(fma.f64 -1/8 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c b_2))) |
(fma.f64 -1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))) |
(fma.f64 -1/8 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b_2 3)) (fma.f64 -1/16 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))) |
(fma.f64 -1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 c b_2) (*.f64 -1/16 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6))) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) 2))) (*.f64 a b_2))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))) |
(fma.f64 -1/2 (*.f64 (fma.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) (pow.f64 (*.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 b_2 3))) 2)) (/.f64 (pow.f64 c 4) (*.f64 a b_2))) (fma.f64 -1/8 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b_2 3)) (fma.f64 -1/16 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))) |
(fma.f64 -1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (*.f64 (pow.f64 c 4) (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) (pow.f64 (*.f64 -1/8 (*.f64 a (/.f64 a (pow.f64 b_2 3)))) 2)) (*.f64 a b_2))) (fma.f64 -1/2 (/.f64 c b_2) (*.f64 -1/16 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))))))) |
14 alts after pruning (12 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 204 | 2 | 206 |
| Fresh | 1 | 10 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 206 | 14 | 220 |
| Status | Error | Program |
|---|---|---|
| 35.9b | (/.f64 1 (/.f64 a (-.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 3) b_2))) | |
| 46.1b | (*.f64 (pow.f64 (+.f64 a a) -1) (pow.f64 (/.f64 1/2 (fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (*.f64 b_2 -2))) -1)) | |
| ✓ | 34.3b | (-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a)) |
| ✓ | 34.3b | (/.f64 1 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))) |
| 45.9b | (/.f64 1 (/.f64 a (*.f64 b_2 -2))) | |
| 42.5b | (fma.f64 -1/8 (*.f64 a (*.f64 c (/.f64 c (pow.f64 b_2 3)))) (*.f64 -1/2 (/.f64 c b_2))) | |
| 57.0b | (/.f64 (-.f64 b_2 b_2) a) | |
| 35.2b | (-.f64 (/.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2) a) (/.f64 b_2 a)) | |
| 41.2b | (*.f64 -1/2 (/.f64 c b_2)) | |
| 35.4b | (/.f64 (-.f64 (sqrt.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2))) b_2) a) | |
| 34.4b | (/.f64 (/.f64 1 (+.f64 a a)) (/.f64 1/2 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))) | |
| 53.2b | (sqrt.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) b_2)) -2)) | |
| 45.9b | (fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a))) | |
| 46.1b | (/.f64 1 (/.f64 a (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))))) |
Compiled 6169 to 2874 computations (53.4% saved)
Total -53.4b remaining (-525%)
Threshold costs -53.4b (-525%)
Compiled 1131 to 410 computations (63.7% saved)
| 2× | binary-search |
2 calls:
| 211.0ms | b_2 |
| 38.0ms | b_2 |
| Iters | Point | Range | ||||
|---|---|---|---|---|---|---|
2.7e-81 | ∈ [ | 2.6726617853347307e-81 | , | 7.562297873224683e-70 | ] | |
-5.7e+127 | ∈ [ | -1.521675437607327e+129 | , | -5.636670454337873e+127 | ] | |
Compiled 593 to 391 computations (34.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 70 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 b_2 -57000000000000004284945754241537891765871456668087268168525818834392657738817666665878842762572208019411159437214594000620617728) (fma.f64 1/8 (*.f64 a (*.f64 c (/.f64 c (pow.f64 b_2 3)))) (fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))) (if (<=.f64 b_2 5767164996986457/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 c b_2)))) |
| Outputs |
|---|
(if (<=.f64 b_2 -57000000000000004284945754241537891765871456668087268168525818834392657738817666665878842762572208019411159437214594000620617728) (fma.f64 1/8 (*.f64 a (*.f64 c (/.f64 c (pow.f64 b_2 3)))) (fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))) (if (<=.f64 b_2 5767164996986457/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 c b_2)))) |
| 1× | fuel |
Compiled 295 to 139 computations (52.9% saved)
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