Time bar (total: 16.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 0% | 0% | 93.6% | 0.1% | 0% | 6.2% | 0% | 7 |
| 6.7% | 6.2% | 87.4% | 0.1% | 0% | 6.2% | 0% | 8 |
| 11.1% | 10.1% | 81.1% | 0.1% | 0% | 8.6% | 0% | 9 |
| 18% | 15.6% | 71% | 0.1% | 0% | 13.3% | 0% | 10 |
| 25.9% | 22% | 63% | 0.1% | 0.8% | 14% | 0% | 11 |
| 35.5% | 29.1% | 52.9% | 0.1% | 1.6% | 16.4% | 0% | 12 |
Compiled 21 to 15 computations (28.6% saved)
| 1.0s | 5551× | body | 256 | valid |
| 621.0ms | 1178× | body | 2048 | valid |
| 393.0ms | 436× | body | 4096 | valid |
| 356.0ms | 713× | body | 1024 | valid |
| 174.0ms | 1032× | body | 256 | invalid |
| 107.0ms | 378× | body | 512 | valid |
| 91.0ms | 554× | body | 256 | infinite |
| 2× | egg-herbie |
| 551× | associate-/l*_binary64 |
| 461× | fma-neg_binary64 |
| 449× | div-sub_binary64 |
| 441× | associate-/r*_binary64 |
| 321× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 104 |
| 1 | 115 | 96 |
| 2 | 308 | 96 |
| 3 | 784 | 88 |
| 4 | 1483 | 88 |
| 5 | 2847 | 88 |
| 6 | 6570 | 88 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) |
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 4 (*.f64 b c))))) (*.f64 2 b)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 c a))))) (*.f64 2 c)) |
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 4 (*.f64 a b))))) (*.f64 2 a)) |
| Outputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 a 2)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (*.f64 a 2)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)))) (*.f64 a 2)) |
(*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) a)) |
(*.f64 (/.f64 -1/2 a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))))) |
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) |
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 4 (*.f64 b c))))) (*.f64 2 b)) |
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 4 (*.f64 b c))))) (*.f64 b 2)) |
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (fma.f64 a a (*.f64 (*.f64 b c) -4)))) (*.f64 b 2)) |
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (fma.f64 a a (*.f64 c (*.f64 b -4))))) (*.f64 b 2)) |
(*.f64 -1/2 (/.f64 (+.f64 a (sqrt.f64 (fma.f64 b (*.f64 c -4) (*.f64 a a)))) b)) |
(*.f64 (/.f64 -1/2 b) (+.f64 a (sqrt.f64 (fma.f64 b (*.f64 c -4) (*.f64 a a))))) |
(*.f64 (+.f64 a (sqrt.f64 (fma.f64 b (*.f64 c -4) (*.f64 a a)))) (/.f64 -1/2 b)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 c a))))) (*.f64 2 c)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 c 2)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (*.f64 c 2)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)))) (*.f64 c 2)) |
(*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) c)) |
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 4 (*.f64 a b))))) (*.f64 2 a)) |
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 4 (*.f64 b a))))) (*.f64 a 2)) |
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 c c (*.f64 (*.f64 b a) -4)))) (*.f64 a 2)) |
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 (*.f64 b a) -4 (*.f64 c c)))) (*.f64 a 2)) |
(*.f64 -1/2 (/.f64 (+.f64 c (sqrt.f64 (fma.f64 c c (*.f64 (*.f64 b a) -4)))) a)) |
(*.f64 (/.f64 -1/2 a) (+.f64 c (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c))))) |
(*.f64 (+.f64 c (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c)))) (/.f64 -1/2 a)) |
Compiled 23 to 17 computations (26.1% saved)
| 1× | egg-herbie |
| 1217× | fma-neg_binary64 |
| 846× | fma-def_binary64 |
| 776× | div-sub_binary64 |
| 405× | times-frac_binary64 |
| 325× | cancel-sign-sub-inv_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 26 |
| 1 | 38 | 24 |
| 2 | 100 | 24 |
| 3 | 259 | 22 |
| 4 | 461 | 22 |
| 5 | 840 | 22 |
| 6 | 1793 | 22 |
| 7 | 3010 | 22 |
| 8 | 3701 | 22 |
| 9 | 4761 | 22 |
| 10 | 6491 | 22 |
| 11 | 7461 | 22 |
| 12 | 7587 | 22 |
| 13 | 7682 | 22 |
| 14 | 7714 | 22 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) |
| Outputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 a 2)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (*.f64 a 2)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (*.f64 a 2)) |
(*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)))) a)) |
(*.f64 (/.f64 -1/2 a) (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b))))) |
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)))) (/.f64 -1/2 a)) |
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) |
Compiled 35 to 23 computations (34.3% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 35.0b | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) |
| ▶ | 35.1b | (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) |
Compiled 38 to 26 computations (31.6% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 24.0b | (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) | |
| 1.5b | (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) | |
| 0.8b | (fma.f64 b b (*.f64 a (*.f64 c -4))) | |
| 0.2b | (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) | |
| ✓ | 0.2b | (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) |
| ✓ | 0.8b | (fma.f64 b b (*.f64 a (*.f64 c -4))) |
| ✓ | 1.5b | (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) |
| ✓ | 24.0b | (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) |
Compiled 62 to 36 computations (41.9% saved)
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | 0 | (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) |
| 2.0ms | a | @ | inf | (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) |
| 2.0ms | b | @ | 0 | (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) |
| 1.0ms | c | @ | inf | (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) |
| 1.0ms | a | @ | inf | (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) |
| 1× | batch-egg-rewrite |
| 955× | prod-diff_binary64 |
| 667× | log-prod_binary64 |
| 286× | fma-def_binary64 |
| 247× | expm1-udef_binary64 |
| 247× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 62 |
| 1 | 280 | 59 |
| 2 | 3655 | 59 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) |
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) |
(fma.f64 b b (*.f64 a (*.f64 c -4))) |
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b b) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (/.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) 2) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1/2 a) (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))) (-.f64 (fma.f64 b b (fma.f64 a (*.f64 c -4) (*.f64 b b))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1/2 a) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b)))) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 -1/2 a)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 3) (pow.f64 (/.f64 -1/2 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 -1/2 a) 3) (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (/.f64 -1/2 a) (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a) (*.f64 b (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 a) b (*.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (*.f64 (/.f64 -1/2 a) b)))))) |
| 1× | egg-herbie |
| 665× | fma-def_binary64 |
| 609× | fma-neg_binary64 |
| 573× | associate-*r*_binary64 |
| 570× | times-frac_binary64 |
| 534× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 146 | 2203 |
| 1 | 440 | 2105 |
| 2 | 1480 | 1988 |
| 3 | 7150 | 1952 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -1 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(*.f64 2 b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)))) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))) |
(*.f64 2 b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)))) |
(*.f64 2 b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))) |
(+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
(*.f64 -1 (/.f64 c b)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 c a) 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))) |
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))) |
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 c a) 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
(fma.f64 -2 (*.f64 a (/.f64 c b)) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))) |
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))) |
(+.f64 (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))) (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) b)) |
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -4))) |
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b) (/.f64 (pow.f64 (*.f64 c a) 3) (/.f64 (pow.f64 b 5) -4))) |
(*.f64 -1 b) |
(neg.f64 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b)) |
(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b)) |
(-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b) |
(-.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))) |
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (neg.f64 b))) |
(-.f64 (*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)))) b) |
(-.f64 (*.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))))) b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))) |
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (neg.f64 b)))) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (neg.f64 b)))) |
(-.f64 (fma.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (*.f64 (/.f64 4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) b) |
(-.f64 (fma.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (*.f64 (/.f64 4 (pow.f64 b 5)) (pow.f64 (*.f64 c a) 3))) b) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
(fma.f64 -2 (*.f64 a (/.f64 c b)) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))) |
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))) |
(+.f64 (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))) (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) b)) |
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -4))) |
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b) (/.f64 (pow.f64 (*.f64 c a) 3) (/.f64 (pow.f64 b 5) -4))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
(fma.f64 -2 (*.f64 a (/.f64 c b)) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))) |
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))) |
(+.f64 (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))) (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) b)) |
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -4))) |
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b) (/.f64 (pow.f64 (*.f64 c a) 3) (/.f64 (pow.f64 b 5) -4))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) |
(+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 b (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))) |
(+.f64 b (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) b)) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 b (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))) |
(+.f64 b (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) b))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 c a) 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) b))) |
(*.f64 2 b) |
(*.f64 b 2) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) |
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2)) |
(fma.f64 b 2 (/.f64 -2 (/.f64 b (*.f64 c a)))) |
(fma.f64 b 2 (*.f64 (/.f64 c b) (*.f64 a -2))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))) |
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 b 2 (/.f64 -2 (/.f64 b (*.f64 c a))))) |
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (*.f64 b 2)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)))) |
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(fma.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (*.f64 b 2))) |
(fma.f64 -4 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (*.f64 b 2))) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(*.f64 (/.f64 c b) (*.f64 a 2)) |
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(*.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)))) |
(*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)))) |
(*.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))))) |
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(fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))) (*.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)))) |
(fma.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (*.f64 (/.f64 4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) |
(fma.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (*.f64 (/.f64 4 (pow.f64 b 5)) (pow.f64 (*.f64 c a) 3))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))) |
(fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (*.f64 c c) (*.f64 a a))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))))) |
(fma.f64 1/2 (/.f64 (fma.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 4 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))) (*.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))))) |
(fma.f64 1/2 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (fma.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (*.f64 (/.f64 4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) |
(fma.f64 1/2 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (fma.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (*.f64 (/.f64 4 (pow.f64 b 5)) (pow.f64 (*.f64 c a) 3)))) |
(*.f64 2 b) |
(*.f64 b 2) |
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(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2)) |
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(fma.f64 b 2 (*.f64 (/.f64 c b) (*.f64 a -2))) |
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(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))) |
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 b 2 (/.f64 -2 (/.f64 b (*.f64 c a))))) |
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (*.f64 b 2)) |
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(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2)))) |
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 b 2 (/.f64 -2 (/.f64 b (*.f64 c a)))))) |
(fma.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (*.f64 b 2))) |
(fma.f64 -4 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (*.f64 b 2))) |
(*.f64 2 b) |
(*.f64 b 2) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) |
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2)) |
(fma.f64 b 2 (/.f64 -2 (/.f64 b (*.f64 c a)))) |
(fma.f64 b 2 (*.f64 (/.f64 c b) (*.f64 a -2))) |
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(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))) |
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 b 2 (/.f64 -2 (/.f64 b (*.f64 c a))))) |
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (*.f64 b 2)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2)))) |
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 b 2 (/.f64 -2 (/.f64 b (*.f64 c a)))))) |
(fma.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (*.f64 b 2))) |
(fma.f64 -4 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (*.f64 b 2))) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(*.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) -1/2)) |
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(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))))) |
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (/.f64 b a))) |
(*.f64 -1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
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(fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)))))) |
(fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (*.f64 -1/4 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))))))) |
(fma.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (*.f64 -1/4 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 -1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) |
(+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))) |
(fma.f64 1/16 (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5))))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))))))) |
(fma.f64 1/16 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4))) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3)))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (*.f64 -1/4 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))))))) |
(+.f64 (fma.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (*.f64 -1/4 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 -1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) -1/64)) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))) |
(+.f64 (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))) |
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))) |
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a)) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 b) a)))) |
(+.f64 (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))))) |
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a)) |
(fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a))) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(*.f64 -1 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (/.f64 c b))) |
(-.f64 (neg.f64 (/.f64 c b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))) |
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))) |
(-.f64 (-.f64 (*.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (/.f64 c b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 a (*.f64 a -2))) (pow.f64 b 5)) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (*.f64 c c) (*.f64 a a))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7))) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))) |
(-.f64 (fma.f64 -1/4 (/.f64 (fma.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 4 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7))) (-.f64 (*.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (/.f64 c b))) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))) |
(fma.f64 (/.f64 -1/4 a) (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (-.f64 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 a (*.f64 a -2))) (pow.f64 b 5)) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (/.f64 -1/4 a) (-.f64 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 a (*.f64 a -2))) (pow.f64 b 5)) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))) |
(+.f64 (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))) |
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))) |
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a)) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 b) a)))) |
(+.f64 (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))))) |
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a)) |
(fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a))) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))) |
(+.f64 (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))) |
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))) |
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a)) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 b) a)))) |
(+.f64 (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))))) |
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a)) |
(fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a))) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.5b | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) | |
| 0.6b | (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))) | |
| 0.1b | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) | |
| 0.0b | (*.f64 4 (*.f64 a c)) | |
| ✓ | 0.1b | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) |
| ✓ | 0.6b | (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))) |
| ✓ | 1.5b | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) |
| ✓ | 24.0b | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) |
Compiled 73 to 32 computations (56.2% saved)
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | c | @ | inf | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) |
| 1.0ms | a | @ | inf | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) |
| 1.0ms | a | @ | inf | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) |
| 1.0ms | b | @ | -inf | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) |
| 1.0ms | b | @ | 0 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) |
| 1× | batch-egg-rewrite |
| 750× | fma-def_binary64 |
| 382× | fma-neg_binary64 |
| 283× | expm1-udef_binary64 |
| 283× | log1p-udef_binary64 |
| 229× | log-pow_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 74 |
| 1 | 347 | 62 |
| 2 | 5126 | 59 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) |
(-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) |
| Outputs |
|---|
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(*.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) a) (/.f64 (sqrt.f64 b) 2) (neg.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) 2) (/.f64 (sqrt.f64 b) a) (neg.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 a) (/.f64 b 2) (neg.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 2) (/.f64 (cbrt.f64 b) a) (neg.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (/.f64 b a) (neg.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (*.f64 a 2)) (neg.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (*.f64 a 2)) (neg.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 (*.f64 4 (*.f64 a a)))) (/.f64 (cbrt.f64 b) (cbrt.f64 (*.f64 a 2))) (neg.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) (cbrt.f64 (*.f64 4 (*.f64 a a)))) (/.f64 (sqrt.f64 b) (cbrt.f64 (*.f64 a 2))) (neg.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (cbrt.f64 (*.f64 4 (*.f64 a a)))) (/.f64 b (cbrt.f64 (*.f64 a 2))) (neg.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (*.f64 a 2))) (/.f64 (cbrt.f64 b) (sqrt.f64 (*.f64 a 2))) (neg.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) (sqrt.f64 (*.f64 a 2))) (/.f64 (sqrt.f64 b) (sqrt.f64 (*.f64 a 2))) (neg.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (sqrt.f64 (*.f64 a 2))) (/.f64 b (sqrt.f64 (*.f64 a 2))) (neg.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (/.f64 1/2 a)))))))) |
| 1× | egg-herbie |
| 708× | fma-neg_binary64 |
| 706× | fma-def_binary64 |
| 596× | associate-*r*_binary64 |
| 579× | times-frac_binary64 |
| 561× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 151 | 2214 |
| 1 | 462 | 2111 |
| 2 | 1564 | 2000 |
| 3 | 7491 | 2000 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -1 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)) |
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))) |
(+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)))) |
(*.f64 -2 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -2 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))) |
(*.f64 -2 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))) |
(+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
(*.f64 -1 (/.f64 c b)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))) |
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
(fma.f64 -2 (*.f64 a (/.f64 c b)) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(+.f64 (fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) (/.f64 -4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) |
(+.f64 b (fma.f64 -4 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (*.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))))))) |
(*.f64 -1 b) |
(neg.f64 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b)) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (neg.f64 b)) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (neg.f64 b)) |
(-.f64 (/.f64 (*.f64 c a) (/.f64 b 2)) b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b))) |
(-.f64 (*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))))) b) |
(-.f64 (*.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))))) b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b)))) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b)))) |
(fma.f64 4 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (-.f64 (*.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))))) b)) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
(fma.f64 -2 (*.f64 a (/.f64 c b)) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(+.f64 (fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) (/.f64 -4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) |
(+.f64 b (fma.f64 -4 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (*.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))))))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
(fma.f64 -2 (*.f64 a (/.f64 c b)) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(+.f64 (fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) (/.f64 -4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) |
(+.f64 b (fma.f64 -4 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (*.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))))))) |
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(neg.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -4))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)) |
(fma.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (neg.f64 b)) |
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)) |
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))) |
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (fma.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (neg.f64 b))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) -1/2 (neg.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b -1/2) (/.f64 (sqrt.f64 -4) b))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)) |
(+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)))) |
(fma.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (fma.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (neg.f64 b)))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) 1/8 (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) -1/2 (neg.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b -1/2) (/.f64 (sqrt.f64 -4) b)) (-.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) -1/32) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b))) |
(*.f64 -2 b) |
(*.f64 b -2) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (*.f64 b -2)) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) |
(fma.f64 b -2 (/.f64 (*.f64 c a) (/.f64 b 2))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 -2 b (*.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a)))))) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 b -2 (*.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a)))))) |
(fma.f64 b -2 (*.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 -2 b (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))))))) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 b -2 (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))))) |
(+.f64 (*.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))))) (fma.f64 b -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4)))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 -2 (*.f64 a (/.f64 c b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(*.f64 -2 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 (*.f64 c a) b))) |
(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))))) |
(*.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (*.f64 -2 (*.f64 (/.f64 c b) a)))) |
(fma.f64 -4 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (*.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (*.f64 c c) (*.f64 a a))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -1/2 (/.f64 (fma.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 4 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (*.f64 -2 (*.f64 (/.f64 c b) a))))) |
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (fma.f64 -4 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (*.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))))))) |
(*.f64 -2 b) |
(*.f64 b -2) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (*.f64 b -2)) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) |
(fma.f64 b -2 (/.f64 (*.f64 c a) (/.f64 b 2))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 -2 b (*.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a)))))) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 b -2 (*.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a)))))) |
(fma.f64 b -2 (*.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 -2 b (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))))))) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 b -2 (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))))) |
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(*.f64 -2 b) |
(*.f64 b -2) |
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(fma.f64 2 (/.f64 (*.f64 c a) b) (*.f64 b -2)) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) |
(fma.f64 b -2 (/.f64 (*.f64 c a) (/.f64 b 2))) |
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(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 -2 b (*.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a)))))) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 b -2 (*.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a)))))) |
(fma.f64 b -2 (*.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 -2 b (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))))))) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 b -2 (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))))) |
(+.f64 (*.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))))) (fma.f64 b -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4)))) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
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(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(*.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) -1/2)) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))))) |
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (/.f64 b a))) |
(*.f64 -1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))) |
(fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)))))) |
(fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (*.f64 -1/4 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))))))) |
(fma.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (*.f64 -1/4 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 -1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) |
(+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))) |
(fma.f64 1/16 (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5))))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))))))) |
(fma.f64 1/16 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4))) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5))))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (*.f64 -1/4 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))))))) |
(+.f64 (fma.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (*.f64 -1/4 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 -1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) (*.f64 (/.f64 (pow.f64 b 4) (/.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3))))) -1/64)) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))) |
(+.f64 (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))) |
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a)) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5)) (/.f64 (neg.f64 b) a)))) |
(+.f64 (fma.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 b) a)) (+.f64 (/.f64 c b) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))) |
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b))) |
(-.f64 (neg.f64 (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5))))) |
(-.f64 (-.f64 (*.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(-.f64 (*.f64 -2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (*.f64 c c) (*.f64 a a))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7))) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5)))))) |
(-.f64 (fma.f64 -1/4 (/.f64 (fma.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 4 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7))) (-.f64 (*.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (/.f64 c b))) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(fma.f64 -1/4 (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) a) (pow.f64 b 7)) (-.f64 (*.f64 -2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))) |
(+.f64 (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))) |
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a)) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5)) (/.f64 (neg.f64 b) a)))) |
(+.f64 (fma.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 b) a)) (+.f64 (/.f64 c b) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))) |
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))) |
(+.f64 (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))) |
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a)) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5)) (/.f64 (neg.f64 b) a)))) |
(+.f64 (fma.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 b) a)) (+.f64 (/.f64 c b) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))) |
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a)) |
Compiled 19038 to 11081 computations (41.8% saved)
30 alts after pruning (29 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 676 | 29 | 705 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 677 | 30 | 707 |
| Status | Error | Program |
|---|---|---|
| 37.9b | (*.f64 (+.f64 b (exp.f64 (*.f64 (log.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 1/2))) (/.f64 -1/2 a)) | |
| 46.1b | (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) | |
| 47.5b | (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b))) (/.f64 -1/2 a)) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) | |
| ▶ | 32.4b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a) |
| 39.6b | (neg.f64 (/.f64 c b)) | |
| 49.5b | (/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b))) (*.f64 (*.f64 a -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) | |
| 44.8b | (/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a)) | |
| 55.4b | (*.f64 (+.f64 b (-.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) b)) (/.f64 -1/2 a)) | |
| 50.8b | (*.f64 (+.f64 b (sqrt.f64 (*.f64 b b))) (/.f64 -1/2 a)) | |
| 32.5b | (/.f64 1 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2))) | |
| 55.6b | (*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a)) | |
| ✓ | 35.0b | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) |
| 45.7b | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| 45.8b | (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a)) | |
| 45.6b | (*.f64 (*.f64 b 2) (/.f64 -1/2 a)) | |
| ▶ | 47.2b | (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
| 33.0b | (pow.f64 (cbrt.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))) 3) | |
| 35.7b | (*.f64 (+.f64 b (pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a)) | |
| 45.8b | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 2 a)) | |
| 45.9b | (*.f64 (+.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b)) (/.f64 -1/2 a)) | |
| 34.0b | (+.f64 (*.f64 b (/.f64 -1/2 a)) (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a))) | |
| ▶ | 45.5b | (/.f64 (neg.f64 b) a) |
| 47.3b | (*.f64 (+.f64 b (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) (/.f64 -1/2 a)) | |
| ▶ | 36.0b | (fma.f64 b (/.f64 -1/2 a) (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a))) |
| 48.4b | (*.f64 (+.f64 b (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (pow.f64 (*.f64 a (*.f64 c -4)) 2)) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))))) (/.f64 -1/2 a)) | |
| 34.5b | (*.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (/.f64 -1/2 a)) | |
| 45.3b | (neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))) | |
| 44.4b | (*.f64 (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))) (/.f64 -1/2 a)) | |
| 55.5b | (/.f64 (-.f64 (neg.f64 b) (-.f64 (/.f64 (*.f64 c a) (/.f64 b 2)) b)) (*.f64 2 a)) | |
| ▶ | 35.1b | (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b)))) (/.f64 -1/2 a)) |
Compiled 1062 to 730 computations (31.3% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 14.0b | (sqrt.f64 (*.f64 a (*.f64 c -4))) | |
| 0.7b | (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) | |
| 0.1b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a) | |
| 0.0b | (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) | |
| ✓ | 0.0b | (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) |
| ✓ | 0.1b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a) |
| ✓ | 0.7b | (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) |
| ✓ | 14.0b | (sqrt.f64 (*.f64 a (*.f64 c -4))) |
Compiled 66 to 42 computations (36.4% saved)
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | a | @ | inf | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a) |
| 6.0ms | c | @ | 0 | (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) |
| 4.0ms | a | @ | -inf | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a) |
| 4.0ms | c | @ | -inf | (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) |
| 4.0ms | a | @ | 0 | (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) |
| 1× | batch-egg-rewrite |
| 710× | log-prod_binary64 |
| 680× | prod-diff_binary64 |
| 249× | expm1-udef_binary64 |
| 249× | log1p-udef_binary64 |
| 239× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 57 |
| 1 | 282 | 57 |
| 2 | 3728 | 57 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 a (*.f64 c -4))) |
(+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) |
(/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a) |
(hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (cbrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 2))) (sqrt.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 2)) 1/2) (pow.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a c) 1/2) (sqrt.f64 -4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (*.f64 -4 a)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 -4 a))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b b) (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b))) (/.f64 (fma.f64 b b (*.f64 c (*.f64 -4 a))) (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b))) (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b))) 2) (cbrt.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b))))))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b))) (cbrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 -4 a)))) (cbrt.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (*.f64 c (*.f64 -4 a))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 -4 a))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 -4 a))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) 1)))))) |
| 1× | egg-herbie |
| 955× | times-frac_binary64 |
| 715× | associate-/l*_binary64 |
| 642× | fma-def_binary64 |
| 603× | unswap-sqr_binary64 |
| 526× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 164 | 1607 |
| 1 | 491 | 1348 |
| 2 | 1763 | 1293 |
| 3 | 7292 | 1293 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(*.f64 2 b) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)))) |
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7)))))) |
(*.f64 2 b) |
(*.f64 2 b) |
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))) |
(+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
(*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)))) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))) |
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
b |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) b) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) b)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) b))) |
(*.f64 -1 b) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 -1 b)) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 b)))) |
b |
b |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) |
(+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 b (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))) |
(+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) 1/2))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 1/2 (*.f64 (/.f64 b (sqrt.f64 -4)) b)) b)) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 b (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))) (+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) 1/2)))) |
(+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 1/2 (*.f64 (/.f64 b (sqrt.f64 -4)) b)) b)) (*.f64 1/32 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))))) |
(*.f64 2 b) |
(*.f64 b 2) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)) |
(fma.f64 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 b 2)) |
(fma.f64 1/2 (/.f64 c (/.f64 b (*.f64 a -4))) (*.f64 b 2)) |
(fma.f64 b 2 (*.f64 (/.f64 1/2 b) (*.f64 a (*.f64 c -4)))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 b 2))) |
(+.f64 (fma.f64 1/2 (/.f64 c (/.f64 b (*.f64 a -4))) (*.f64 b 2)) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3))) |
(fma.f64 b 2 (fma.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b)) (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -2) (pow.f64 b 3)))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (fma.f64 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 b 2)))) |
(+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3)) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) (fma.f64 1/2 (/.f64 c (/.f64 b (*.f64 a -4))) (*.f64 b 2)))) |
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(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) 1/2)))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 1/32 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 a 5) (pow.f64 c 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 5))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) 1/2))))) |
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 5))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 1/32 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))))))) |
b |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) b) |
(fma.f64 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) b) |
(fma.f64 1/2 (/.f64 c (/.f64 b (*.f64 a -4))) b) |
(fma.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b)) b) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) b)) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) b)) |
(+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3)) (fma.f64 1/2 (/.f64 c (/.f64 b (*.f64 a -4))) b)) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -2) (pow.f64 b 3)) (fma.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b)) b)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) b))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (fma.f64 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) b))) |
(+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3)) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) (fma.f64 1/2 (/.f64 c (/.f64 b (*.f64 a -4))) b))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -2) (pow.f64 b 3)) (fma.f64 1/16 (*.f64 (*.f64 (pow.f64 a 3) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b)) b))) |
(*.f64 -1 b) |
(neg.f64 b) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 -1 b)) |
(fma.f64 -1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (neg.f64 b)) |
(-.f64 (*.f64 (/.f64 c (/.f64 b (*.f64 a -4))) -1/2) b) |
(-.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) b) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1 b))) |
(fma.f64 -1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (neg.f64 b))) |
(-.f64 (fma.f64 (/.f64 c (/.f64 b (*.f64 a -4))) -1/2 (/.f64 1/8 (/.f64 (pow.f64 b 3) (*.f64 (*.f64 c c) (*.f64 a (*.f64 a 16)))))) b) |
(-.f64 (fma.f64 (*.f64 (*.f64 a -4) (/.f64 c b)) -1/2 (*.f64 (*.f64 (*.f64 a (*.f64 a 16)) (/.f64 (*.f64 c c) (pow.f64 b 3))) 1/8)) b) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 b)))) |
(fma.f64 -1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (neg.f64 b)))) |
(fma.f64 (/.f64 c (/.f64 b (*.f64 a -4))) -1/2 (-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) 1/8 (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) -1/16)) b)) |
(-.f64 (fma.f64 (*.f64 (*.f64 a -4) (/.f64 c b)) -1/2 (fma.f64 (*.f64 (*.f64 a (*.f64 a 16)) (/.f64 (*.f64 c c) (pow.f64 b 3))) 1/8 (*.f64 (*.f64 (*.f64 (pow.f64 a 3) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) -1/16))) b) |
(fma.f64 (*.f64 (*.f64 a -4) (/.f64 c b)) -1/2 (fma.f64 (*.f64 (*.f64 a (*.f64 a 16)) (/.f64 (*.f64 c c) (pow.f64 b 3))) 1/8 (fma.f64 (/.f64 (*.f64 (pow.f64 c 3) -1/16) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64) (neg.f64 b)))) |
b |
b |
Compiled 11 to 5 computations (54.5% saved)
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 5.5b | (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) | |
| 5.0b | (/.f64 (*.f64 c a) b) | |
| 0.0b | (*.f64 2 (/.f64 (*.f64 c a) b)) | |
| ✓ | 0.0b | (*.f64 2 (/.f64 (*.f64 c a) b)) |
| ✓ | 5.0b | (/.f64 (*.f64 c a) b) |
| ✓ | 5.5b | (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
Compiled 55 to 26 computations (52.7% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | b | @ | inf | (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
| 2.0ms | c | @ | 0 | (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
| 2.0ms | b | @ | 0 | (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
| 2.0ms | c | @ | inf | (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
| 2.0ms | a | @ | inf | (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
| 1× | batch-egg-rewrite |
| 807× | log-prod_binary64 |
| 340× | fma-def_binary64 |
| 267× | pow1/3_binary64 |
| 261× | expm1-udef_binary64 |
| 261× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 37 |
| 1 | 288 | 37 |
| 2 | 4127 | 37 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
(/.f64 (*.f64 c a) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a)))) (cbrt.f64 (exp.f64 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a))))) (#(struct:change #<rule 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(/.f64 (cbrt.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2))) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 a (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) 3) (pow.f64 (+.f64 a a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 2 (/.f64 a (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) 3) (pow.f64 (+.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 c b) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 c b) a))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 c b) a))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 c b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 c b) a)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 c b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 c b) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (/.f64 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (*.f64 a (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (*.f64 c (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c a) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 c b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) (*.f64 (cbrt.f64 (*.f64 c a)) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 2) (cbrt.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 c b) a)) (sqrt.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c (neg.f64 a)) (/.f64 1 (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b) (*.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c 1) (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a 1) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c b) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) 1) (/.f64 (cbrt.f64 (*.f64 c a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 c a)) 1) (/.f64 (sqrt.f64 (*.f64 c a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (pow.f64 (cbrt.f64 b) 2)) (/.f64 a (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (pow.f64 (cbrt.f64 b) 2)) (/.f64 c (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 b) 2)) (/.f64 (*.f64 c a) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 (*.f64 c a)) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (sqrt.f64 b)) (/.f64 a (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (sqrt.f64 b)) (/.f64 c (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 b)) (/.f64 (*.f64 c a) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) (sqrt.f64 b)) (/.f64 (cbrt.f64 (*.f64 c a)) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 c b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 c b) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 b a) c) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (/.f64 b a) c) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 c a) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 c b) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 c b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 c b) a)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c b) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (/.f64 (/.f64 b a) c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 2 (/.f64 (/.f64 b a) c)))) (cbrt.f64 (exp.f64 (/.f64 2 (/.f64 (/.f64 b a) c)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (/.f64 (/.f64 b a) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (/.f64 (/.f64 b a) c))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (/.f64 (/.f64 b a) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 (/.f64 (/.f64 b a) c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 b a) c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 2 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 c a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 c a))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 c a)) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 c a)) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 c a)) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c 2) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c (neg.f64 a)) 2) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 c) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 c (neg.f64 a))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (/.f64 (/.f64 b a) c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (/.f64 (/.f64 b a) c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 (/.f64 (/.f64 b a) c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8 (pow.f64 (*.f64 (/.f64 c b) a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (*.f64 2 (*.f64 c a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 2 (/.f64 (/.f64 b a) c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (/.f64 (/.f64 b a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (/.f64 (/.f64 b a) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 8 (pow.f64 (*.f64 (/.f64 c b) a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (/.f64 (/.f64 b a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (/.f64 (/.f64 b a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (/.f64 (/.f64 b a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2 (/.f64 (/.f64 b a) c))) 1)))))) |
| 1× | egg-herbie |
| 506× | fma-def_binary64 |
| 266× | fma-neg_binary64 |
| 120× | associate-/l*_binary64 |
| 96× | cancel-sign-sub-inv_binary64 |
| 94× | times-frac_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 368 |
| 1 | 14 | 314 |
| 2 | 24 | 314 |
| 3 | 34 | 314 |
| 4 | 47 | 314 |
| 5 | 71 | 314 |
| 6 | 119 | 314 |
| 7 | 175 | 314 |
| 8 | 257 | 314 |
| 9 | 408 | 314 |
| 10 | 679 | 314 |
| 11 | 1121 | 314 |
| 12 | 1656 | 314 |
| 13 | 2118 | 314 |
| 14 | 2220 | 314 |
| 15 | 2224 | 314 |
| 16 | 2236 | 314 |
| 17 | 2246 | 314 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 24.0b | (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b))) | |
| 1.5b | (+.f64 b (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b)))) | |
| 0.6b | (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b)) | |
| 0.2b | (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b)))) (/.f64 -1/2 a)) | |
| ✓ | 0.2b | (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b)))) (/.f64 -1/2 a)) |
| ✓ | 0.6b | (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b)) |
| ✓ | 1.5b | (+.f64 b (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b)))) |
| ✓ | 24.0b | (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b))) |
Compiled 69 to 37 computations (46.4% saved)
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | -inf | (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b)))) (/.f64 -1/2 a)) |
| 1.0ms | c | @ | -inf | (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b)))) (/.f64 -1/2 a)) |
| 1.0ms | a | @ | inf | (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b))) |
| 0.0ms | a | @ | inf | (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b)))) (/.f64 -1/2 a)) |
| 0.0ms | c | @ | inf | (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b)))) (/.f64 -1/2 a)) |
| 1× | batch-egg-rewrite |
| 743× | log-prod_binary64 |
| 583× | fma-def_binary64 |
| 326× | fma-neg_binary64 |
| 272× | expm1-udef_binary64 |
| 272× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 62 |
| 1 | 311 | 59 |
| 2 | 4317 | 59 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b))) |
(+.f64 b (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b)))) |
(+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b)) |
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b)))) (/.f64 -1/2 a)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 a c) 3) -64 (pow.f64 b 6))) (hypot.f64 (*.f64 c (*.f64 -4 a)) (sqrt.f64 (-.f64 (pow.f64 b 4) (*.f64 a (*.f64 (*.f64 c -4) (*.f64 b b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 2) (pow.f64 b 4))) (sqrt.f64 (-.f64 (*.f64 c (*.f64 -4 a)) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b b) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) (/.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) 2) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2)) (/.f64 1 (-.f64 (fma.f64 b b (fma.f64 a (*.f64 c -4) (*.f64 b b))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b))) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 b b (fma.f64 a (*.f64 c -4) (*.f64 b b))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2)) (-.f64 (fma.f64 b b (fma.f64 a (*.f64 c -4) (*.f64 b b))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2)) (+.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b))) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))) (neg.f64 (-.f64 (fma.f64 b b (fma.f64 a (*.f64 c -4) (*.f64 b b))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b)))) (neg.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (*.f64 b b)) (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 b) (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b 1 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 1 b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1/2 a) (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))) (-.f64 (fma.f64 b b (fma.f64 a (*.f64 c -4) (*.f64 b b))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1/2 a) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b)))) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (/.f64 -1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (/.f64 -1/2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (/.f64 -1/2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (/.f64 -1/2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (/.f64 -1/2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (/.f64 -1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (/.f64 -1/2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 3) (pow.f64 (/.f64 -1/2 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 -1/2 a) 3) (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (/.f64 -1/2 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (/.f64 -1/2 a) (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 -1/2 a) (*.f64 b (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 a) b (*.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (*.f64 (/.f64 -1/2 a) b)))))) |
| 1× | egg-herbie |
| 665× | fma-def_binary64 |
| 609× | fma-neg_binary64 |
| 572× | associate-*r*_binary64 |
| 570× | times-frac_binary64 |
| 537× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 146 | 2203 |
| 1 | 440 | 2105 |
| 2 | 1480 | 1988 |
| 3 | 7150 | 1952 |
| 1× | node limit |
| Inputs |
|---|
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -1 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(*.f64 2 b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)))) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))) |
(*.f64 2 b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)))) |
(*.f64 2 b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))) |
(+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
(*.f64 -1 (/.f64 c b)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
| Outputs |
|---|
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
(fma.f64 -2 (*.f64 a (/.f64 c b)) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))))) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))) |
(+.f64 (fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) (/.f64 -4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) |
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))))) b) (*.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)))) |
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))))) b) (*.f64 (/.f64 -4 (pow.f64 b 5)) (pow.f64 (*.f64 c a) 3))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
(fma.f64 -2 (*.f64 a (/.f64 c b)) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))))) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))) |
(+.f64 (fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) (/.f64 -4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) |
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))))) b) (*.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)))) |
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))))) b) (*.f64 (/.f64 -4 (pow.f64 b 5)) (pow.f64 (*.f64 c a) 3))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/2))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (*.f64 b b) 1/2) (sqrt.f64 -4)))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/2)))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 c a) 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/2))))) |
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))) |
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 c a) 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
(fma.f64 -2 (*.f64 a (/.f64 c b)) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))))) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))) |
(+.f64 (fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) (/.f64 -4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) |
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))))) b) (*.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)))) |
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))))) b) (*.f64 (/.f64 -4 (pow.f64 b 5)) (pow.f64 (*.f64 c a) 3))) |
(*.f64 -1 b) |
(neg.f64 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b)) |
(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b)) |
(fma.f64 (*.f64 (/.f64 c b) a) 2 (neg.f64 b)) |
(-.f64 (*.f64 (*.f64 2 (/.f64 c b)) a) b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))) |
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b))) |
(-.f64 (*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)))) b) |
(-.f64 (*.f64 2 (fma.f64 (/.f64 c b) a (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))))) b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))) |
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b)))) |
(fma.f64 (*.f64 (/.f64 c b) a) 2 (-.f64 (fma.f64 2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (/.f64 4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) b)) |
(-.f64 (fma.f64 2 (fma.f64 (/.f64 c b) a (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))))) (*.f64 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) 4)) b) |
(fma.f64 2 (fma.f64 (/.f64 c b) a (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))))) (-.f64 (*.f64 (/.f64 4 (pow.f64 b 5)) (pow.f64 (*.f64 c a) 3)) b)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) |
(+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 b (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))) |
(+.f64 b (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/2)))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (*.f64 b b) 1/2) (sqrt.f64 -4)) b)) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 b (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))) |
(+.f64 b (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/2))))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (*.f64 b b) 1/2) (sqrt.f64 -4)) b))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 c a) 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (*.f64 b b) 1/2) (sqrt.f64 -4)) b))) |
(*.f64 2 b) |
(*.f64 b 2) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) |
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2)) |
(fma.f64 b 2 (/.f64 (*.f64 -2 c) (/.f64 b a))) |
(fma.f64 b 2 (*.f64 (/.f64 c b) (*.f64 -2 a))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 b 2 (/.f64 (*.f64 -2 c) (/.f64 b a)))) |
(fma.f64 b 2 (*.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))))))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2)))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 b 2 (/.f64 (*.f64 -2 c) (/.f64 b a))))) |
(fma.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) (fma.f64 b 2 (*.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))))))) |
(fma.f64 -4 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) (fma.f64 b 2 (*.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))))))) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 (/.f64 c (/.f64 b a)) 2) |
(*.f64 (*.f64 (/.f64 c b) a) 2) |
(*.f64 (*.f64 2 (/.f64 c b)) a) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) |
(*.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))))) |
(*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)))) |
(*.f64 2 (fma.f64 (/.f64 c b) a (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) |
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) 4))) |
(fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a))) (/.f64 4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) |
(fma.f64 2 (fma.f64 (/.f64 c b) a (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))))) (*.f64 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) 4)) |
(fma.f64 2 (fma.f64 (/.f64 c b) a (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))))) (*.f64 (/.f64 4 (pow.f64 b 5)) (pow.f64 (*.f64 c a) 3))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))) |
(fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (*.f64 c c) (*.f64 a a))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) 4)))) |
(fma.f64 1/2 (/.f64 (fma.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 4 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a))) (/.f64 4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))) |
(fma.f64 1/2 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (fma.f64 2 (fma.f64 (/.f64 c b) a (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))))) (*.f64 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) 4))) |
(fma.f64 1/2 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (fma.f64 2 (fma.f64 (/.f64 c b) a (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))))) (*.f64 (/.f64 4 (pow.f64 b 5)) (pow.f64 (*.f64 c a) 3)))) |
(*.f64 2 b) |
(*.f64 b 2) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) |
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2)) |
(fma.f64 b 2 (/.f64 (*.f64 -2 c) (/.f64 b a))) |
(fma.f64 b 2 (*.f64 (/.f64 c b) (*.f64 -2 a))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 b 2 (/.f64 (*.f64 -2 c) (/.f64 b a)))) |
(fma.f64 b 2 (*.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))))))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2)))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 b 2 (/.f64 (*.f64 -2 c) (/.f64 b a))))) |
(fma.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) (fma.f64 b 2 (*.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))))))) |
(fma.f64 -4 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) (fma.f64 b 2 (*.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))))))) |
(*.f64 2 b) |
(*.f64 b 2) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) |
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2)) |
(fma.f64 b 2 (/.f64 (*.f64 -2 c) (/.f64 b a))) |
(fma.f64 b 2 (*.f64 (/.f64 c b) (*.f64 -2 a))) |
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(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 b 2 (/.f64 (*.f64 -2 c) (/.f64 b a)))) |
(fma.f64 b 2 (*.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))))))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2)))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 b 2 (/.f64 (*.f64 -2 c) (/.f64 b a))))) |
(fma.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) (fma.f64 b 2 (*.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))))))) |
(fma.f64 -4 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) (fma.f64 b 2 (*.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))))))) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(*.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) -1/2)) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))))) |
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (/.f64 b a))) |
(*.f64 -1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))) |
(fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)))))) |
(fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) -1/4)))) |
(fma.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (*.f64 -1/4 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 -1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) |
(+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))) |
(fma.f64 1/16 (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5))))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))))))) |
(fma.f64 1/16 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4))) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5))))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) -1/4))))) |
(+.f64 (fma.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (*.f64 -1/4 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 -1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) (*.f64 (/.f64 (pow.f64 b 4) (/.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))))) -1/64)) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))) |
(+.f64 (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))) |
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))) |
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (-.f64 (/.f64 c b) (/.f64 b a))) |
(-.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)) (/.f64 b a)) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 b) a)))) |
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 2 (*.f64 (*.f64 a a) (pow.f64 c 3))) (pow.f64 b 5)))) |
(-.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a)) |
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 2 (*.f64 a a)) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(*.f64 -1 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (/.f64 c b))) |
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))) |
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))) |
(-.f64 (-.f64 (*.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))) |
(-.f64 (*.f64 -2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (*.f64 c c) (*.f64 a a))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7))) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))) |
(-.f64 (fma.f64 -1/4 (/.f64 (fma.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 4 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7))) (-.f64 (*.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (/.f64 c b))) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))) |
(fma.f64 -1/4 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (*.f64 a (pow.f64 b 7))) (-.f64 (*.f64 -2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))) |
(-.f64 (fma.f64 -2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (*.f64 (/.f64 -1/4 (*.f64 a (pow.f64 b 7))) (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))) |
(+.f64 (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))) |
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))) |
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (-.f64 (/.f64 c b) (/.f64 b a))) |
(-.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)) (/.f64 b a)) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 b) a)))) |
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 2 (*.f64 (*.f64 a a) (pow.f64 c 3))) (pow.f64 b 5)))) |
(-.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a)) |
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 2 (*.f64 a a)) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))) |
(+.f64 (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))) |
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))) |
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (-.f64 (/.f64 c b) (/.f64 b a))) |
(-.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)) (/.f64 b a)) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 b) a)))) |
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 2 (*.f64 (*.f64 a a) (pow.f64 c 3))) (pow.f64 b 5)))) |
(-.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a)) |
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 2 (*.f64 a a)) (-.f64 (/.f64 c b) (/.f64 b a)))) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 14.0b | (sqrt.f64 (*.f64 a (*.f64 c -4))) | |
| 11.9b | (fma.f64 b (/.f64 -1/2 a) (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a))) | |
| 0.2b | (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a)) | |
| 0.0b | (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) | |
| 0.0b | (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) | |
| ✓ | 0.2b | (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a)) |
| ✓ | 11.9b | (fma.f64 b (/.f64 -1/2 a) (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a))) |
| 14.0b | (sqrt.f64 (*.f64 a (*.f64 c -4))) |
Compiled 62 to 40 computations (35.5% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | -inf | (fma.f64 b (/.f64 -1/2 a) (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a))) |
| 2.0ms | c | @ | inf | (fma.f64 b (/.f64 -1/2 a) (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a))) |
| 2.0ms | c | @ | inf | (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a)) |
| 2.0ms | c | @ | -inf | (fma.f64 b (/.f64 -1/2 a) (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a))) |
| 2.0ms | a | @ | inf | (fma.f64 b (/.f64 -1/2 a) (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a))) |
| 1× | batch-egg-rewrite |
| 652× | log-prod_binary64 |
| 462× | prod-diff_binary64 |
| 339× | pow2_binary64 |
| 239× | pow1/3_binary64 |
| 238× | pow-unpow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 43 |
| 1 | 272 | 39 |
| 2 | 3255 | 39 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 b (/.f64 -1/2 a) (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a))) |
(*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (/.f64 (*.f64 b -1/2) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 b -1/2) a) (*.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 -1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 b -1/2) a) 1) (*.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 a)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 a)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 a)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 a)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 -1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 -1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 -1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 -1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 -1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))))) 2) (cbrt.f64 (*.f64 (/.f64 -1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 -1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))))) (sqrt.f64 (*.f64 (/.f64 -1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (*.f64 b -1/2) a) 3) (pow.f64 (*.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 3)) (+.f64 (pow.f64 (/.f64 (*.f64 b -1/2) a) 2) (-.f64 (*.f64 (/.f64 1/4 (*.f64 a a)) (fma.f64 b b (*.f64 -4 (*.f64 a c)))) (*.f64 (/.f64 (*.f64 b -1/2) a) (*.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b -1/2) a) 2) (*.f64 (/.f64 1/4 (*.f64 a a)) (fma.f64 b b (*.f64 -4 (*.f64 a c))))) (-.f64 (/.f64 (*.f64 b -1/2) a) (*.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 -1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 -1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 -1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 -1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 -1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 -1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 -1/2 a)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 -1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 -1/2 a)) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (exp.f64 (/.f64 (*.f64 b -1/2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))))) (exp.f64 (/.f64 (*.f64 b -1/2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (*.f64 b -1/2) a)) (+.f64 1 (expm1.f64 (*.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 -1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 -1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 -1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 -1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 -1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 a)) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 a)) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 a)) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 a)) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))) (*.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 -1/2 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -1/2 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))) 1/2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1/4 (*.f64 a a)) (fma.f64 b b (*.f64 -4 (*.f64 a c)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 -1/2 a) 3) (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))) 3) (pow.f64 (/.f64 -1/2 a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 -1/2 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 1/4 (*.f64 a a)) (fma.f64 b b (*.f64 -4 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 -1/2 a)) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 -1/2 a) 3) (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))) 3) (pow.f64 (/.f64 -1/2 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) 1)))))) |
| 1× | egg-herbie |
| 724× | associate-*r*_binary64 |
| 669× | associate-*l*_binary64 |
| 476× | times-frac_binary64 |
| 409× | fma-def_binary64 |
| 362× | fma-neg_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 122 | 1099 |
| 1 | 364 | 919 |
| 2 | 1223 | 851 |
| 3 | 6591 | 820 |
| 4 | 7913 | 816 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))) |
(+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
(*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)))) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))) |
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))) |
(+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 -1/32 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 7)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))) |
(*.f64 -1/2 (/.f64 b a)) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))) |
(*.f64 1/2 (/.f64 b a)) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/2 (/.f64 b a)))) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/2 (/.f64 b a))))) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
| Outputs |
|---|
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) -1/2)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 -1/2 (sqrt.f64 -4))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a))) |
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))) |
(fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))) |
(fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) c)) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) -1/4)))) |
(fma.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 -1/4 (*.f64 (/.f64 b (sqrt.f64 -4)) b)))) |
(+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))) |
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))) |
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) c)) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) -1/4))))) |
(+.f64 (*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a))) (fma.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) -1/64))) |
(+.f64 (*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a))) (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (+.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (*.f64 (*.f64 1/16 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3)))) (/.f64 b (/.f64 -4 b)))))) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a))) |
(fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 (*.f64 1 c) b) (/.f64 b a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))) |
(fma.f64 1/16 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (neg.f64 (/.f64 b a)))) |
(-.f64 (fma.f64 1/16 (/.f64 (*.f64 16 (*.f64 a (*.f64 c c))) (pow.f64 b 3)) (/.f64 (*.f64 1 c) b)) (/.f64 b a)) |
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 1 a))) |
(+.f64 (/.f64 c b) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 (neg.f64 b) a))) |
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (-.f64 (/.f64 c b) (/.f64 b a))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
(fma.f64 1/16 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/32 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 b 5)) (neg.f64 (/.f64 b a))))) |
(fma.f64 1/16 (/.f64 (*.f64 16 (*.f64 a (*.f64 c c))) (pow.f64 b 3)) (-.f64 (fma.f64 -1/32 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a -64))) (/.f64 (*.f64 1 c) b)) (/.f64 b a))) |
(+.f64 (/.f64 c b) (+.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 2 (*.f64 a a))) (-.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 1 a)) (/.f64 b a)))) |
(fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 2 (*.f64 a a)) (+.f64 (/.f64 c b) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 (neg.f64 b) a)))) |
(fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 2 (*.f64 a a)) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (-.f64 (/.f64 c b) (/.f64 b a)))) |
(*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) |
(*.f64 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) 1/4) |
(/.f64 (*.f64 -1 c) b) |
(/.f64 (neg.f64 c) b) |
(neg.f64 (/.f64 c b)) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)))) |
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) -1/16)) |
(fma.f64 (/.f64 (*.f64 16 (*.f64 a (*.f64 c c))) (pow.f64 b 3)) -1/16 (/.f64 (*.f64 -1 c) b)) |
(+.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 -1 a))) |
(+.f64 (neg.f64 (/.f64 c b)) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a))) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))) |
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/16 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 b 5)) 1/32))) |
(+.f64 (/.f64 (*.f64 -1 c) b) (fma.f64 (/.f64 (*.f64 16 (*.f64 a (*.f64 c c))) (pow.f64 b 3)) -1/16 (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a -64))) 1/32))) |
(+.f64 (/.f64 (neg.f64 c) b) (+.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 -1 a)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (*.f64 a a) -2)))) |
(+.f64 (neg.f64 (/.f64 c b)) (+.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (*.f64 a a) -2)))) |
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))) |
(fma.f64 -1/4 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 4))) 2)) (*.f64 a (pow.f64 b 7))) (fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/16 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 b 5)) 1/32)))) |
(+.f64 (fma.f64 (/.f64 (*.f64 16 (*.f64 a (*.f64 c c))) (pow.f64 b 3)) -1/16 (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a -64))) 1/32)) (fma.f64 -1/4 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) 2)) (*.f64 a (pow.f64 b 7))) (/.f64 (*.f64 -1 c) b))) |
(+.f64 (/.f64 (neg.f64 c) b) (fma.f64 -1/4 (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) (*.f64 a (pow.f64 b 7))) (+.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 -1 a)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (*.f64 a a) -2))))) |
(+.f64 (neg.f64 (/.f64 c b)) (fma.f64 -1/4 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (*.f64 a (pow.f64 b 7))) (+.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (*.f64 a a) -2))))) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) -1/2)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 -1/2 (sqrt.f64 -4))) |
(+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(fma.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) c)) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) -1/4))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 -1/2 (sqrt.f64 -4)) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 -1/4 (*.f64 (/.f64 b (sqrt.f64 -4)) b)))) |
(+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))) |
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))) |
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) c)) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) -1/4)))) |
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) -1/64))) |
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (+.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (*.f64 (*.f64 1/16 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3)))) (/.f64 b (/.f64 -4 b)))))) |
(+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 -1/32 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 7)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))) |
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 -1/32 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 7))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))) |
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4))) (fma.f64 -1/32 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 7))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) c)) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) -1/4))))) |
(fma.f64 -1/32 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 7)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) -1/64)))) |
(fma.f64 -1/32 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 7)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (+.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (*.f64 (*.f64 1/16 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3)))) (/.f64 b (/.f64 -4 b))))))) |
(*.f64 -1/2 (/.f64 b a)) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))) |
(fma.f64 -1/2 (/.f64 b a) (*.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))))) |
(fma.f64 -1/2 (/.f64 b a) (/.f64 (*.f64 1 c) b)) |
(fma.f64 -1/2 (/.f64 b a) (/.f64 c b)) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)))) |
(fma.f64 1/16 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 b a) (*.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2)))))) |
(fma.f64 1/16 (/.f64 (*.f64 16 (*.f64 a (*.f64 c c))) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 b a) (/.f64 (*.f64 1 c) b))) |
(+.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 1 a)) (fma.f64 -1/2 (/.f64 b a) (/.f64 c b))) |
(+.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) (fma.f64 -1/2 (/.f64 b a) (/.f64 c b))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))) |
(fma.f64 1/16 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (*.f64 -1/32 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 b 5)))))) |
(fma.f64 1/16 (/.f64 (*.f64 16 (*.f64 a (*.f64 c c))) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/32 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a -64))) (/.f64 (*.f64 1 c) b)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 2 (*.f64 a a))) (+.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 1 a)) (fma.f64 -1/2 (/.f64 b a) (/.f64 c b)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 2 (*.f64 a a))) (+.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) (fma.f64 -1/2 (/.f64 b a) (/.f64 c b)))) |
(*.f64 1/2 (/.f64 b a)) |
(*.f64 (/.f64 b a) 1/2) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 1/2 (/.f64 b a))) |
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (*.f64 (/.f64 b a) 1/2)) |
(fma.f64 (/.f64 b a) 1/2 (/.f64 (*.f64 -1 c) b)) |
(fma.f64 (/.f64 b a) 1/2 (/.f64 (neg.f64 c) b)) |
(fma.f64 (/.f64 b a) 1/2 (neg.f64 (/.f64 c b))) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/2 (/.f64 b a)))) |
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/16 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (*.f64 (/.f64 b a) 1/2))) |
(+.f64 (/.f64 (*.f64 -1 c) b) (fma.f64 (/.f64 (*.f64 16 (*.f64 a (*.f64 c c))) (pow.f64 b 3)) -1/16 (*.f64 (/.f64 b a) 1/2))) |
(+.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 -1 a)) (fma.f64 (/.f64 b a) 1/2 (/.f64 (neg.f64 c) b))) |
(+.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a)) (fma.f64 (/.f64 b a) 1/2 (neg.f64 (/.f64 c b)))) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/2 (/.f64 b a))))) |
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 1/32 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 b 5)) (fma.f64 -1/16 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (*.f64 (/.f64 b a) 1/2)))) |
(+.f64 (/.f64 (*.f64 -1 c) b) (fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a -64))) 1/32 (fma.f64 (/.f64 (*.f64 16 (*.f64 a (*.f64 c c))) (pow.f64 b 3)) -1/16 (*.f64 (/.f64 b a) 1/2)))) |
(+.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 -1 a)) (+.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (*.f64 a a) -2)) (fma.f64 (/.f64 b a) 1/2 (/.f64 (neg.f64 c) b)))) |
(+.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a)) (+.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (*.f64 a a) -2)) (fma.f64 (/.f64 b a) 1/2 (neg.f64 (/.f64 c b))))) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
Compiled 18775 to 12086 computations (35.6% saved)
38 alts after pruning (32 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 769 | 21 | 790 |
| Fresh | 13 | 11 | 24 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 782 | 38 | 820 |
| Status | Error | Program |
|---|---|---|
| 46.1b | (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) | |
| 47.5b | (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b))) (/.f64 -1/2 a)) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) | |
| ✓ | 32.4b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a) |
| 61.5b | (fma.f64 b (/.f64 -1/2 a) (*.f64 1/2 (/.f64 b a))) | |
| ▶ | 33.5b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 -4 a))) 1/2)))) -1/2) a) |
| 50.8b | (*.f64 (+.f64 b (sqrt.f64 (*.f64 b b))) (/.f64 -1/2 a)) | |
| 44.8b | (/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a)) | |
| 32.9b | (*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) -1/2)) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) -1/2)) (/.f64 1 a))) | |
| 32.5b | (/.f64 1 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2))) | |
| ▶ | 41.2b | (+.f64 (neg.f64 (/.f64 c b)) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a))) |
| 47.1b | (/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (*.f64 c (*.f64 -4 a))) 3/2)) (+.f64 (fma.f64 b b (*.f64 c (*.f64 -4 a))) (-.f64 (*.f64 b b) (*.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b))))) -1/2) a) | |
| ✓ | 35.0b | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) |
| 45.6b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))))) -1/2) a) | |
| ▶ | 55.8b | (/.f64 c b) |
| 55.6b | (fma.f64 b (/.f64 -1/2 a) (sqrt.f64 (*.f64 (/.f64 1/4 (*.f64 a a)) (fma.f64 b b (*.f64 -4 (*.f64 a c)))))) | |
| 39.6b | (neg.f64 (/.f64 c b)) | |
| 38.0b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2)))) -1/2) a) | |
| 34.0b | (+.f64 (*.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (*.f64 (/.f64 -1/2 a) b)) | |
| 44.8b | (/.f64 (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2) a) | |
| 45.7b | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| 45.8b | (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a)) | |
| 45.6b | (*.f64 (*.f64 b 2) (/.f64 -1/2 a)) | |
| 47.9b | (fma.f64 b (/.f64 -1/2 a) (*.f64 (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))) (/.f64 -1/2 a))) | |
| 55.5b | (/.f64 (-.f64 (neg.f64 b) (-.f64 (/.f64 (*.f64 c a) (/.f64 b 2)) b)) (*.f64 2 a)) | |
| ✓ | 47.2b | (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
| 45.5b | (fma.f64 b (/.f64 -1/2 a) (*.f64 -1/2 (/.f64 b a))) | |
| ▶ | 55.4b | (*.f64 (+.f64 b (-.f64 (*.f64 (*.f64 2 (/.f64 c b)) a) b)) (/.f64 -1/2 a)) |
| 47.3b | (*.f64 (+.f64 b (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) (/.f64 -1/2 a)) | |
| 45.8b | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 2 a)) | |
| 55.6b | (*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a)) | |
| 32.7b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 3))) -1/2) a) | |
| ✓ | 36.0b | (fma.f64 b (/.f64 -1/2 a) (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a))) |
| 48.4b | (*.f64 (+.f64 b (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (pow.f64 (*.f64 a (*.f64 c -4)) 2)) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))))) (/.f64 -1/2 a)) | |
| 55.8b | (cbrt.f64 (pow.f64 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a)) 3)) | |
| ✓ | 35.1b | (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b)))) (/.f64 -1/2 a)) |
| 45.9b | (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a)) | |
| ▶ | 32.5b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2))) -1/2) a) |
| ✓ | 45.5b | (/.f64 (neg.f64 b) a) |
Compiled 1303 to 911 computations (30.1% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.7b | (+.f64 b (hypot.f64 b (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2))) | |
| 0.4b | (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2) | |
| 0.1b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2))) -1/2) a) | |
| 0.0b | (hypot.f64 b (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2)) | |
| ✓ | 0.1b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2))) -1/2) a) |
| ✓ | 0.4b | (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2) |
| ✓ | 0.7b | (+.f64 b (hypot.f64 b (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2))) |
| ✓ | 14.8b | (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) |
Compiled 90 to 64 computations (28.9% saved)
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 59.0ms | a | @ | 0 | (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) |
| 38.0ms | c | @ | 0 | (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) |
| 23.0ms | a | @ | -inf | (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) |
| 16.0ms | c | @ | -inf | (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) |
| 10.0ms | a | @ | inf | (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) |
| 1× | batch-egg-rewrite |
| 811× | log-prod_binary64 |
| 687× | prod-diff_binary64 |
| 291× | expm1-udef_binary64 |
| 291× | log1p-udef_binary64 |
| 247× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 58 |
| 1 | 356 | 55 |
| 2 | 4461 | 55 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) |
(+.f64 b (hypot.f64 b (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2))) |
(pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2) |
(/.f64 (*.f64 (+.f64 b (hypot.f64 b (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2))) -1/2) a) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4))) (cbrt.f64 (exp.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)) (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 c 1/4) (pow.f64 (*.f64 -4 a) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/8) (pow.f64 (*.f64 c (*.f64 -4 a)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/4) (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) 2) 1/4) (pow.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) 1/4) (pow.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/4 (log.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 c (*.f64 -4 a)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b b) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) (/.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) 2) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2)) (/.f64 1 (-.f64 (fma.f64 b b (fma.f64 a (*.f64 c -4) (*.f64 b b))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b))) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 b b (fma.f64 a (*.f64 c -4) (*.f64 b b))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c 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(*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b)))) (neg.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (*.f64 b b)) (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 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| 1× | egg-herbie |
| 925× | times-frac_binary64 |
| 694× | associate-/l*_binary64 |
| 581× | fma-def_binary64 |
| 499× | associate-/r*_binary64 |
| 386× | *-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 226 | 3674 |
| 1 | 631 | 3173 |
| 2 | 2136 | 2836 |
| 3 | 7953 | 2836 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
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(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
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(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) |
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(*.f64 -1 (/.f64 b a)) |
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(*.f64 -1/2 (/.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 4) (pow.f64 b 2))) b) a)) |
(*.f64 -1/2 (/.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 4) (pow.f64 b 2))) b) a)) |
(*.f64 -1/2 (/.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 4))) b) a)) |
(*.f64 -1/2 (/.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 4))) b) a)) |
(*.f64 -1/2 (/.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 4))) b) a)) |
(*.f64 -1/2 (/.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 4))) b) a)) |
(*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 4)))) a)) |
(*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 4)))) a)) |
(*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 4)))) a)) |
(*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 4)))) a)) |
| Outputs |
|---|
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) |
(*.f64 (pow.f64 c 1/4) (pow.f64 (*.f64 a -4) 1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) |
(*.f64 (pow.f64 c 1/4) (pow.f64 (*.f64 a -4) 1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) |
(*.f64 (pow.f64 c 1/4) (pow.f64 (*.f64 a -4) 1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) |
(*.f64 (pow.f64 c 1/4) (pow.f64 (*.f64 a -4) 1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) |
(*.f64 (pow.f64 c 1/4) (pow.f64 (*.f64 a -4) 1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) |
(*.f64 (pow.f64 c 1/4) (pow.f64 (*.f64 a -4) 1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) |
(*.f64 (pow.f64 c 1/4) (pow.f64 (*.f64 a -4) 1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) |
(*.f64 (pow.f64 c 1/4) (pow.f64 (*.f64 a -4) 1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) |
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) |
(*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) |
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) |
(*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) |
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) |
(*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) |
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) |
(*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) |
(*.f64 (pow.f64 c 1/4) (pow.f64 (*.f64 a -4) 1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) |
(*.f64 (pow.f64 c 1/4) (pow.f64 (*.f64 a -4) 1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) |
(*.f64 (pow.f64 c 1/4) (pow.f64 (*.f64 a -4) 1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) |
(*.f64 (pow.f64 c 1/4) (pow.f64 (*.f64 a -4) 1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) |
(*.f64 (pow.f64 c 1/4) (pow.f64 (*.f64 a -4) 1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) |
(*.f64 (pow.f64 c 1/4) (pow.f64 (*.f64 a -4) 1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) |
(*.f64 (pow.f64 c 1/4) (pow.f64 (*.f64 a -4) 1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) |
(*.f64 (pow.f64 c 1/4) (pow.f64 (*.f64 a -4) 1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) |
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) |
(*.f64 (pow.f64 (*.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) |
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) |
(*.f64 (pow.f64 (*.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) |
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) |
(*.f64 (pow.f64 (*.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) |
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) |
(*.f64 (pow.f64 (*.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) |
(+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 b (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))) |
(+.f64 b (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 1/2 (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 b (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4))) (+.f64 b (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 1/2 (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)) (*.f64 1/32 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))))) |
(*.f64 2 b) |
(*.f64 b 2) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)) |
(fma.f64 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 b 2)) |
(fma.f64 b 2 (*.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)))) |
(fma.f64 b 2 (*.f64 (/.f64 1/2 b) (*.f64 (*.f64 c a) -4))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b))) |
(fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)) (fma.f64 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 b 2))) |
(+.f64 (fma.f64 b 2 (*.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)))) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3))) |
(fma.f64 b 2 (fma.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c a))) -2) (pow.f64 b 3)))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)))) |
(fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (fma.f64 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 b 2)))) |
(+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3)) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) (fma.f64 b 2 (*.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)))))) |
(fma.f64 1/16 (*.f64 (*.f64 (pow.f64 a 3) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 b 2 (fma.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c a))) -2) (pow.f64 b 3))))) |
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) |
(*.f64 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) -1/2) |
(*.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2) |
(*.f64 (/.f64 -1/2 b) (*.f64 (*.f64 c a) -4)) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))) |
(fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)) (*.f64 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) -1/2)) |
(fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (/.f64 (*.f64 (*.f64 1/8 (*.f64 c c)) (*.f64 a (*.f64 a 16))) (pow.f64 b 3))) |
(fma.f64 (*.f64 (*.f64 a -4) (/.f64 c b)) -1/2 (*.f64 (*.f64 (*.f64 (*.f64 a a) 16) (/.f64 c (/.f64 (pow.f64 b 3) c))) 1/8)) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))) |
(fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (/.f64 (*.f64 -1/16 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (pow.f64 b 5)))) |
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(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) 2) |
(pow.f64 (exp.f64 (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) 1/2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) 2) |
(pow.f64 (exp.f64 (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) 1/2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) 2) |
(pow.f64 (exp.f64 (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) 1/2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) |
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(pow.f64 (exp.f64 (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) 1/2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) 2) |
(pow.f64 (exp.f64 (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) 1/2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) 2) |
(pow.f64 (exp.f64 (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) 1/2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) 2) |
(pow.f64 (exp.f64 (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) 1/2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) 2) |
(pow.f64 (exp.f64 (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) 1/2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) 2) |
(pow.f64 (exp.f64 (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) 1/2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) 2) |
(pow.f64 (exp.f64 (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) 1/2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) 2) |
(pow.f64 (exp.f64 (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) 1/2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) 2) |
(pow.f64 (exp.f64 (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) 1/2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) 2) |
(pow.f64 (exp.f64 (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) 1/2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) 2) |
(pow.f64 (exp.f64 (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) 1/2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) 2) |
(pow.f64 (exp.f64 (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) 1/2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2) |
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(*.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)))) |
(*.f64 (sqrt.f64 -4) (*.f64 -1/2 (sqrt.f64 (/.f64 c a)))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))))) |
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (/.f64 b a))) |
(*.f64 -1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
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(fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)))))) |
(fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) -1/4)))) |
(fma.f64 -1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) -1/4))) |
(+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))) |
(fma.f64 1/16 (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5)))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))))))) |
(fma.f64 1/16 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4)) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5)))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) -1/4))))) |
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(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a))) |
(fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 (*.f64 1 c) b) (/.f64 b a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))) |
(fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (neg.f64 (/.f64 b a)))) |
(fma.f64 1/16 (/.f64 (*.f64 (*.f64 c c) (*.f64 a 16)) (pow.f64 b 3)) (-.f64 (/.f64 (*.f64 1 c) b) (/.f64 b a))) |
(fma.f64 1/16 (/.f64 (*.f64 16 (*.f64 c (*.f64 c a))) (pow.f64 b 3)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
(fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/32 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6)))) (neg.f64 (/.f64 b a))))) |
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(-.f64 (fma.f64 1/16 (/.f64 (*.f64 16 (*.f64 c (*.f64 c a))) (pow.f64 b 3)) (fma.f64 -1/32 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a (*.f64 a -64)))) (/.f64 c b))) (/.f64 b a)) |
(*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) |
(*.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2)))) |
(/.f64 (*.f64 -1 c) b) |
(/.f64 (neg.f64 c) b) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)))) |
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (/.f64 (*.f64 -1/16 (*.f64 (*.f64 c c) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (pow.f64 b 3))) |
(fma.f64 -1/16 (/.f64 (*.f64 (*.f64 c c) (*.f64 a 16)) (pow.f64 b 3)) (/.f64 (*.f64 -1 c) b)) |
(fma.f64 -1/16 (/.f64 (*.f64 16 (*.f64 c (*.f64 c a))) (pow.f64 b 3)) (/.f64 (neg.f64 c) b)) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))) |
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6)))) 1/32))) |
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(*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2))) a)) |
(*.f64 (/.f64 -1/2 a) (+.f64 b (hypot.f64 b (pow.f64 (*.f64 (pow.f64 (*.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2)))) |
(*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 4)))) a)) |
(*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 4)))) a)) |
(*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2))) a)) |
(*.f64 (/.f64 -1/2 a) (+.f64 b (hypot.f64 b (pow.f64 (*.f64 (pow.f64 (*.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2)))) |
(*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 4)))) a)) |
(*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 4)))) a)) |
(*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2))) a)) |
(*.f64 (/.f64 -1/2 a) (+.f64 b (hypot.f64 b (pow.f64 (*.f64 (pow.f64 (*.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2)))) |
Compiled 8 to 4 computations (50% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 4.8b | (*.f64 (*.f64 2 (/.f64 c b)) a) | |
| 2.6b | (+.f64 b (-.f64 (*.f64 (*.f64 2 (/.f64 c b)) a) b)) | |
| 0.0b | (*.f64 2 (/.f64 c b)) | |
| 0.0b | (-.f64 (*.f64 (*.f64 2 (/.f64 c b)) a) b) | |
| ✓ | 0.0b | (*.f64 2 (/.f64 c b)) |
| ✓ | 2.6b | (+.f64 b (-.f64 (*.f64 (*.f64 2 (/.f64 c b)) a) b)) |
| ✓ | 4.8b | (*.f64 (*.f64 2 (/.f64 c b)) a) |
| ✓ | 5.5b | (*.f64 (+.f64 b (-.f64 (*.f64 (*.f64 2 (/.f64 c b)) a) b)) (/.f64 -1/2 a)) |
Compiled 61 to 30 computations (50.8% saved)
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | c | @ | 0 | (*.f64 (*.f64 2 (/.f64 c b)) a) |
| 1.0ms | c | @ | 0 | (*.f64 (+.f64 b (-.f64 (*.f64 (*.f64 2 (/.f64 c b)) a) b)) (/.f64 -1/2 a)) |
| 1.0ms | b | @ | 0 | (*.f64 (+.f64 b (-.f64 (*.f64 (*.f64 2 (/.f64 c b)) a) b)) (/.f64 -1/2 a)) |
| 1.0ms | b | @ | inf | (*.f64 (+.f64 b (-.f64 (*.f64 (*.f64 2 (/.f64 c b)) a) b)) (/.f64 -1/2 a)) |
| 1.0ms | c | @ | inf | (*.f64 (+.f64 b (-.f64 (*.f64 (*.f64 2 (/.f64 c b)) a) b)) (/.f64 -1/2 a)) |
| 1× | batch-egg-rewrite |
| 776× | log-prod_binary64 |
| 529× | fma-def_binary64 |
| 304× | fma-neg_binary64 |
| 275× | expm1-udef_binary64 |
| 275× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 55 |
| 1 | 301 | 51 |
| 2 | 4352 | 51 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 b (-.f64 (*.f64 (*.f64 2 (/.f64 c b)) a) b)) (/.f64 -1/2 a)) |
(*.f64 (*.f64 2 (/.f64 c b)) a) |
(+.f64 b (-.f64 (*.f64 (*.f64 2 (/.f64 c b)) a) b)) |
(*.f64 2 (/.f64 c b)) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (/.f64 c b))) (*.f64 (sqrt.f64 (*.f64 2 (/.f64 c b))) a) (fma.f64 -1 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (/.f64 c b))) (*.f64 (sqrt.f64 (*.f64 2 (/.f64 c b))) a) (neg.f64 (-.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (*.f64 2 (/.f64 c b))) (fma.f64 -1 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (*.f64 2 (/.f64 c b))) (neg.f64 (-.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 8 (pow.f64 (*.f64 (/.f64 c b) a) 3)) (pow.f64 b 3)) (/.f64 1 (fma.f64 b (fma.f64 2 (*.f64 (/.f64 c b) a) b) (pow.f64 (*.f64 2 (*.f64 (/.f64 c b) a)) 2))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 c b) a)) 2) (*.f64 b b)) (/.f64 1 (fma.f64 2 (*.f64 (/.f64 c b) a) b)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 c b) a) 2 (fma.f64 -1 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 c b) a) 2 (neg.f64 (-.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) b)) (cbrt.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) b))) (cbrt.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) b)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) b)) (sqrt.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) b)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 (/.f64 c b) a)) (sqrt.f64 b)) (-.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 c b) a))) (sqrt.f64 b)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 2 (/.f64 c b)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (fma.f64 -1 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 2 (/.f64 c b)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (neg.f64 (-.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 2 (/.f64 c b)) (sqrt.f64 a)) (sqrt.f64 a) (fma.f64 -1 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 2 (/.f64 c b)) (sqrt.f64 a)) (sqrt.f64 a) (neg.f64 (-.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a 2) (/.f64 c b) (fma.f64 -1 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a 2) (/.f64 c b) (neg.f64 (-.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (cbrt.f64 (pow.f64 (*.f64 2 (/.f64 c b)) 2))) (cbrt.f64 (*.f64 2 (/.f64 c b))) (fma.f64 -1 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (cbrt.f64 (pow.f64 (*.f64 2 (/.f64 c b)) 2))) (cbrt.f64 (*.f64 2 (/.f64 c b))) (neg.f64 (-.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 (*.f64 2 (/.f64 c b)))) (sqrt.f64 (*.f64 2 (/.f64 c b))) (fma.f64 -1 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 (*.f64 2 (/.f64 c b)))) (sqrt.f64 (*.f64 2 (/.f64 c b))) (neg.f64 (-.f64 b b))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 c b) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 c b)) 2)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 c b)) 2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 c b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 c b)) 2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 c b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 c b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 c) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 c)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 c) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 c) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 c) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) 2) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 c)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 c b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 c b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (/.f64 c b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (/.f64 c b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (/.f64 c b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 c b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (/.f64 c b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 c b))) 1)))))) |
| 1× | egg-herbie |
| 100× | fma-def_binary64 |
| 24× | fma-neg_binary64 |
| 19× | *-commutative_binary64 |
| 17× | associate-/l*_binary64 |
| 16× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 936 |
| 1 | 21 | 936 |
| 2 | 41 | 936 |
| 3 | 74 | 936 |
| 4 | 110 | 936 |
| 5 | 129 | 936 |
| 6 | 137 | 936 |
| 7 | 158 | 936 |
| 8 | 244 | 936 |
| 9 | 344 | 936 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
| Outputs |
|---|
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 6.7b | (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a)) | |
| 5.0b | (/.f64 (pow.f64 b 3) c) | |
| 4.4b | (/.f64 c (/.f64 (pow.f64 b 3) c)) | |
| 4.1b | (+.f64 (neg.f64 (/.f64 c b)) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a))) | |
| ✓ | 4.1b | (+.f64 (neg.f64 (/.f64 c b)) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a))) |
| ✓ | 4.4b | (/.f64 c (/.f64 (pow.f64 b 3) c)) |
| ✓ | 5.0b | (/.f64 (pow.f64 b 3) c) |
| ✓ | 6.7b | (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a)) |
Compiled 56 to 27 computations (51.8% saved)
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | b | @ | 0 | (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a)) |
| 2.0ms | c | @ | 0 | (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a)) |
| 1.0ms | a | @ | 0 | (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a)) |
| 1.0ms | c | @ | inf | (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a)) |
| 1.0ms | a | @ | inf | (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a)) |
| 1× | batch-egg-rewrite |
| 729× | log-prod_binary64 |
| 273× | fma-def_binary64 |
| 229× | pow1/3_binary64 |
| 226× | expm1-udef_binary64 |
| 226× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 55 |
| 1 | 302 | 47 |
| 2 | 4532 | 47 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a)) |
(/.f64 (pow.f64 b 3) c) |
(/.f64 c (/.f64 (pow.f64 b 3) c)) |
(+.f64 (neg.f64 (/.f64 c b)) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a))) |
| Outputs |
|---|
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fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (sqrt.f64 a)) (sqrt.f64 a) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) -1) a (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (pow.f64 (/.f64 (cbrt.f64 c) (/.f64 b (cbrt.f64 c))) 2)) (/.f64 (cbrt.f64 c) (/.f64 b (cbrt.f64 c))) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)))) (sqrt.f64 (/.f64 (*.f64 c c) (pow.f64 b 3))) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (/.f64 c (pow.f64 b 3))) c (/.f64 c b)))))) |
| 1× | egg-herbie |
| 766× | fma-neg_binary64 |
| 664× | distribute-neg-frac_binary64 |
| 464× | fma-def_binary64 |
| 442× | times-frac_binary64 |
| 392× | cancel-sign-sub-inv_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 1473 |
| 1 | 43 | 1446 |
| 2 | 138 | 1392 |
| 3 | 578 | 1392 |
| 4 | 3272 | 1392 |
| 5 | 6171 | 1392 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(/.f64 (pow.f64 c 2) (pow.f64 b 3)) |
(/.f64 (pow.f64 c 2) (pow.f64 b 3)) |
(/.f64 (pow.f64 c 2) (pow.f64 b 3)) |
(/.f64 (pow.f64 c 2) (pow.f64 b 3)) |
(/.f64 (pow.f64 c 2) (pow.f64 b 3)) |
(/.f64 (pow.f64 c 2) (pow.f64 b 3)) |
(/.f64 (pow.f64 c 2) (pow.f64 b 3)) |
(/.f64 (pow.f64 c 2) (pow.f64 b 3)) |
(/.f64 (pow.f64 c 2) (pow.f64 b 3)) |
(/.f64 (pow.f64 c 2) (pow.f64 b 3)) |
(/.f64 (pow.f64 c 2) (pow.f64 b 3)) |
(/.f64 (pow.f64 c 2) (pow.f64 b 3)) |
(/.f64 (pow.f64 c 2) (pow.f64 b 3)) |
(/.f64 (pow.f64 c 2) (pow.f64 b 3)) |
(/.f64 (pow.f64 c 2) (pow.f64 b 3)) |
(/.f64 (pow.f64 c 2) (pow.f64 b 3)) |
(/.f64 (pow.f64 c 2) (pow.f64 b 3)) |
(/.f64 (pow.f64 c 2) (pow.f64 b 3)) |
(/.f64 (pow.f64 c 2) (pow.f64 b 3)) |
(/.f64 (pow.f64 c 2) (pow.f64 b 3)) |
(/.f64 (pow.f64 c 2) (pow.f64 b 3)) |
(/.f64 (pow.f64 c 2) (pow.f64 b 3)) |
(/.f64 (pow.f64 c 2) (pow.f64 b 3)) |
(/.f64 (pow.f64 c 2) (pow.f64 b 3)) |
(*.f64 -1 (/.f64 c b)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(*.f64 -1 (/.f64 c b)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(*.f64 -1 (/.f64 c b)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(*.f64 -1 (/.f64 c b)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (neg.f64 a)) |
(*.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c (neg.f64 c))) |
(*.f64 (*.f64 c (neg.f64 c)) (/.f64 a (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (neg.f64 a)) |
(*.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c (neg.f64 c))) |
(*.f64 (*.f64 c (neg.f64 c)) (/.f64 a (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (neg.f64 a)) |
(*.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c (neg.f64 c))) |
(*.f64 (*.f64 c (neg.f64 c)) (/.f64 a (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (neg.f64 a)) |
(*.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c (neg.f64 c))) |
(*.f64 (*.f64 c (neg.f64 c)) (/.f64 a (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (neg.f64 a)) |
(*.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c (neg.f64 c))) |
(*.f64 (*.f64 c (neg.f64 c)) (/.f64 a (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (neg.f64 a)) |
(*.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c (neg.f64 c))) |
(*.f64 (*.f64 c (neg.f64 c)) (/.f64 a (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (neg.f64 a)) |
(*.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c (neg.f64 c))) |
(*.f64 (*.f64 c (neg.f64 c)) (/.f64 a (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (neg.f64 a)) |
(*.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c (neg.f64 c))) |
(*.f64 (*.f64 c (neg.f64 c)) (/.f64 a (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (neg.f64 a)) |
(*.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c (neg.f64 c))) |
(*.f64 (*.f64 c (neg.f64 c)) (/.f64 a (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (neg.f64 a)) |
(*.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c (neg.f64 c))) |
(*.f64 (*.f64 c (neg.f64 c)) (/.f64 a (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (neg.f64 a)) |
(*.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c (neg.f64 c))) |
(*.f64 (*.f64 c (neg.f64 c)) (/.f64 a (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (neg.f64 a)) |
(*.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c (neg.f64 c))) |
(*.f64 (*.f64 c (neg.f64 c)) (/.f64 a (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (neg.f64 a)) |
(*.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c (neg.f64 c))) |
(*.f64 (*.f64 c (neg.f64 c)) (/.f64 a (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (neg.f64 a)) |
(*.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c (neg.f64 c))) |
(*.f64 (*.f64 c (neg.f64 c)) (/.f64 a (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (neg.f64 a)) |
(*.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c (neg.f64 c))) |
(*.f64 (*.f64 c (neg.f64 c)) (/.f64 a (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (neg.f64 a)) |
(*.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c (neg.f64 c))) |
(*.f64 (*.f64 c (neg.f64 c)) (/.f64 a (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (neg.f64 a)) |
(*.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c (neg.f64 c))) |
(*.f64 (*.f64 c (neg.f64 c)) (/.f64 a (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (neg.f64 a)) |
(*.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c (neg.f64 c))) |
(*.f64 (*.f64 c (neg.f64 c)) (/.f64 a (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (neg.f64 a)) |
(*.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c (neg.f64 c))) |
(*.f64 (*.f64 c (neg.f64 c)) (/.f64 a (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (neg.f64 a)) |
(*.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c (neg.f64 c))) |
(*.f64 (*.f64 c (neg.f64 c)) (/.f64 a (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (neg.f64 a)) |
(*.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c (neg.f64 c))) |
(*.f64 (*.f64 c (neg.f64 c)) (/.f64 a (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (neg.f64 a)) |
(*.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c (neg.f64 c))) |
(*.f64 (*.f64 c (neg.f64 c)) (/.f64 a (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (neg.f64 a)) |
(*.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c (neg.f64 c))) |
(*.f64 (*.f64 c (neg.f64 c)) (/.f64 a (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (neg.f64 a)) |
(*.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c (neg.f64 c))) |
(*.f64 (*.f64 c (neg.f64 c)) (/.f64 a (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (neg.f64 a)) |
(*.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c (neg.f64 c))) |
(*.f64 (*.f64 c (neg.f64 c)) (/.f64 a (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (neg.f64 a)) |
(*.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c (neg.f64 c))) |
(*.f64 (*.f64 c (neg.f64 c)) (/.f64 a (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (neg.f64 a)) |
(*.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c (neg.f64 c))) |
(*.f64 (*.f64 c (neg.f64 c)) (/.f64 a (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (neg.f64 a)) |
(*.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c (neg.f64 c))) |
(*.f64 (*.f64 c (neg.f64 c)) (/.f64 a (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (neg.f64 a)) |
(*.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c (neg.f64 c))) |
(*.f64 (*.f64 c (neg.f64 c)) (/.f64 a (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (neg.f64 a)) |
(*.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c (neg.f64 c))) |
(*.f64 (*.f64 c (neg.f64 c)) (/.f64 a (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (neg.f64 a)) |
(*.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c (neg.f64 c))) |
(*.f64 (*.f64 c (neg.f64 c)) (/.f64 a (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (neg.f64 a)) |
(*.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c (neg.f64 c))) |
(*.f64 (*.f64 c (neg.f64 c)) (/.f64 a (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (neg.f64 a)) |
(*.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c (neg.f64 c))) |
(*.f64 (*.f64 c (neg.f64 c)) (/.f64 a (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (neg.f64 a)) |
(*.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c (neg.f64 c))) |
(*.f64 (*.f64 c (neg.f64 c)) (/.f64 a (pow.f64 b 3))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) |
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(*.f64 (/.f64 c b) (-.f64 -1 (*.f64 c (/.f64 a (*.f64 b b))))) |
(*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 a (pow.f64 b 3)) c))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(*.f64 -1 (+.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3)) (/.f64 c b))) |
(-.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) (/.f64 c b)) |
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
(*.f64 (/.f64 c b) (-.f64 -1 (*.f64 c (/.f64 a (*.f64 b b))))) |
(*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 a (pow.f64 b 3)) c))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(*.f64 -1 (+.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3)) (/.f64 c b))) |
(-.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) (/.f64 c b)) |
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
(*.f64 (/.f64 c b) (-.f64 -1 (*.f64 c (/.f64 a (*.f64 b b))))) |
(*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 a (pow.f64 b 3)) c))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (neg.f64 a)) |
(*.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c (neg.f64 c))) |
(*.f64 (*.f64 c (neg.f64 c)) (/.f64 a (pow.f64 b 3))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(*.f64 -1 (+.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3)) (/.f64 c b))) |
(-.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) (/.f64 c b)) |
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
(*.f64 (/.f64 c b) (-.f64 -1 (*.f64 c (/.f64 a (*.f64 b b))))) |
(*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 a (pow.f64 b 3)) c))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(*.f64 -1 (+.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3)) (/.f64 c b))) |
(-.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) (/.f64 c b)) |
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
(*.f64 (/.f64 c b) (-.f64 -1 (*.f64 c (/.f64 a (*.f64 b b))))) |
(*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 a (pow.f64 b 3)) c))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(*.f64 -1 (+.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3)) (/.f64 c b))) |
(-.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) (/.f64 c b)) |
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
(*.f64 (/.f64 c b) (-.f64 -1 (*.f64 c (/.f64 a (*.f64 b b))))) |
(*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 a (pow.f64 b 3)) c))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (neg.f64 a)) |
(*.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c (neg.f64 c))) |
(*.f64 (*.f64 c (neg.f64 c)) (/.f64 a (pow.f64 b 3))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(*.f64 -1 (+.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3)) (/.f64 c b))) |
(-.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) (/.f64 c b)) |
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
(*.f64 (/.f64 c b) (-.f64 -1 (*.f64 c (/.f64 a (*.f64 b b))))) |
(*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 a (pow.f64 b 3)) c))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(*.f64 -1 (+.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3)) (/.f64 c b))) |
(-.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) (/.f64 c b)) |
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
(*.f64 (/.f64 c b) (-.f64 -1 (*.f64 c (/.f64 a (*.f64 b b))))) |
(*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 a (pow.f64 b 3)) c))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(*.f64 -1 (+.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3)) (/.f64 c b))) |
(-.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b 3)) (/.f64 c b)) |
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
(*.f64 (/.f64 c b) (-.f64 -1 (*.f64 c (/.f64 a (*.f64 b b))))) |
(*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 a (pow.f64 b 3)) c))) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 3.7b | (exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 -4 a))) 1/2)) | |
| 0.7b | (+.f64 b (hypot.f64 b (exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 -4 a))) 1/2)))) | |
| 0.1b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 -4 a))) 1/2)))) -1/2) a) | |
| 0.0b | (hypot.f64 b (exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 -4 a))) 1/2))) | |
| ✓ | 0.1b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 -4 a))) 1/2)))) -1/2) a) |
| ✓ | 0.7b | (+.f64 b (hypot.f64 b (exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 -4 a))) 1/2)))) |
| ✓ | 3.7b | (exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 -4 a))) 1/2)) |
| ✓ | 14.3b | (log.f64 (*.f64 c (*.f64 -4 a))) |
Compiled 96 to 68 computations (29.2% saved)
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | c | @ | inf | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 -4 a))) 1/2)))) -1/2) a) |
| 3.0ms | a | @ | inf | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 -4 a))) 1/2)))) -1/2) a) |
| 3.0ms | b | @ | 0 | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 -4 a))) 1/2)))) -1/2) a) |
| 3.0ms | c | @ | inf | (+.f64 b (hypot.f64 b (exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 -4 a))) 1/2)))) |
| 2.0ms | a | @ | inf | (+.f64 b (hypot.f64 b (exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 -4 a))) 1/2)))) |
| 1× | batch-egg-rewrite |
| 809× | log-prod_binary64 |
| 698× | prod-diff_binary64 |
| 286× | expm1-udef_binary64 |
| 286× | log1p-udef_binary64 |
| 263× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 57 |
| 1 | 336 | 54 |
| 2 | 4308 | 54 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (*.f64 c (*.f64 -4 a))) |
(exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 -4 a))) 1/2)) |
(+.f64 b (hypot.f64 b (exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 -4 a))) 1/2)))) |
(/.f64 (*.f64 (+.f64 b (hypot.f64 b (exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 -4 a))) 1/2)))) -1/2) a) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 c (*.f64 -4 a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (log.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 -4) (log.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 a) (log.f64 (*.f64 c -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (log.f64 (cbrt.f64 c))) (log.f64 (*.f64 (cbrt.f64 c) (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)) (log.f64 (*.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 -4 a)) 2)) (log.f64 (*.f64 (cbrt.f64 (*.f64 -4 a)) c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (*.f64 -4 a))) (log.f64 (*.f64 (sqrt.f64 (*.f64 -4 a)) c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 c -4)) (log.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) 2)) (log.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 c)) (log.f64 (*.f64 (sqrt.f64 c) (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a)))) (log.f64 (pow.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a)))) (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 c) 1) (*.f64 (log.f64 (*.f64 -4 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4))) (log.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) (cbrt.f64 (*.f64 c (*.f64 -4 a))))) (log.f64 (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 c a)) (log.f64 -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 c (pow.f64 (cbrt.f64 (*.f64 -4 a)) 2))) (log.f64 (cbrt.f64 (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 c (sqrt.f64 (*.f64 -4 a)))) (log.f64 (sqrt.f64 (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (*.f64 -4 a) (pow.f64 (cbrt.f64 c) 2))) (log.f64 (cbrt.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (*.f64 -4 a) (sqrt.f64 c))) (log.f64 (sqrt.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (*.f64 c -4) 1)) (log.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (*.f64 c -4) (pow.f64 (cbrt.f64 a) 2))) (log.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (*.f64 c -4) (sqrt.f64 a))) (log.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 c (*.f64 -4 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (*.f64 c (*.f64 -4 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (log.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (*.f64 c (*.f64 -4 a)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 c (*.f64 -4 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 c (*.f64 -4 a)))) 2) (cbrt.f64 (log.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (*.f64 c (*.f64 -4 a)))) (sqrt.f64 (log.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (log.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (log.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 c) 3) (pow.f64 (log.f64 (*.f64 -4 a)) 3)) (fma.f64 (log.f64 c) (log.f64 c) (-.f64 (*.f64 (log.f64 (*.f64 -4 a)) (log.f64 (*.f64 -4 a))) (*.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 c) (log.f64 c)) (*.f64 (log.f64 (*.f64 -4 a)) (log.f64 (*.f64 -4 a)))) (log.f64 (/.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (*.f64 c (*.f64 -4 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (*.f64 c (*.f64 -4 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (*.f64 c (*.f64 -4 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (*.f64 c (*.f64 -4 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (*.f64 c (*.f64 -4 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (*.f64 c (*.f64 -4 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (fma.f64 c (*.f64 -4 a) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 c (*.f64 -4 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 (*.f64 c (*.f64 -4 a))) 1/2 (log.f64 (sqrt.f64 (*.f64 c (*.f64 -4 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-1/2 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b))) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (*.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) 1) (/.f64 -1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) a) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) -1/2)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) -1/2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) -1/2)) 1) (/.f64 (sqrt.f64 (*.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) -1/2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 -1/2 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (*.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) -1/2) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) -1/2)) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) -1/2)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (*.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) -1/2)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) (sqrt.f64 a)) (/.f64 -1/2 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (sqrt.f64 a)) (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (*.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) -1/2) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) -1/2)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (*.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) -1/2)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) -1/2) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) -1/2) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) a))) 1)))))) |
| 1× | egg-herbie |
| 919× | times-frac_binary64 |
| 683× | associate-/l*_binary64 |
| 557× | unswap-sqr_binary64 |
| 488× | associate-/r*_binary64 |
| 488× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 169 | 1414 |
| 1 | 472 | 1201 |
| 2 | 1632 | 1152 |
| 3 | 6870 | 1152 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))) |
(+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))) |
(+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))) |
(+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))) |
(+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))) |
(+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))) |
(+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))) |
(+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))) |
(+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))) |
(+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))) |
(+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))) |
(+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))) |
(+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)) |
(+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)) |
(+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)) |
(+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))) |
(+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))) |
(+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))) |
(+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))) |
(+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(*.f64 2 b) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)))) |
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7)))))) |
(*.f64 2 b) |
(*.f64 2 b) |
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))) |
(+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
(*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)))) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))) |
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
| Outputs |
|---|
(+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))) |
(+.f64 (log.f64 c) (log.f64 (*.f64 a -4))) |
(+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))) |
(+.f64 (log.f64 c) (log.f64 (*.f64 a -4))) |
(+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))) |
(+.f64 (log.f64 c) (log.f64 (*.f64 a -4))) |
(+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))) |
(+.f64 (log.f64 c) (log.f64 (*.f64 a -4))) |
(+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))) |
(+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))) |
(+.f64 (log.f64 c) (log.f64 (*.f64 a -4))) |
(+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))) |
(+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))) |
(+.f64 (log.f64 c) (log.f64 (*.f64 a -4))) |
(+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))) |
(+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))) |
(+.f64 (log.f64 c) (log.f64 (*.f64 a -4))) |
(+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))) |
(+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))) |
(+.f64 (log.f64 c) (log.f64 (*.f64 a -4))) |
(+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))) |
(+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c)))) |
(-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c))) |
(+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))) |
(+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c)))) |
(-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c))) |
(+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))) |
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(*.f64 2 b) |
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(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
(fma.f64 1/16 (/.f64 (*.f64 (*.f64 c c) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/32 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 b 5)) (neg.f64 (/.f64 b a))))) |
(+.f64 (fma.f64 -1/32 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a -64))) (/.f64 (neg.f64 b) a)) (fma.f64 1/16 (/.f64 (*.f64 a (*.f64 c c)) (/.f64 (pow.f64 b 3) 16)) (/.f64 (*.f64 1 c) b))) |
(-.f64 (fma.f64 1/16 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a 16)))) (fma.f64 -1/32 (*.f64 (/.f64 (*.f64 a (*.f64 a -64)) (pow.f64 b 5)) (pow.f64 c 3)) (/.f64 c b))) (/.f64 b a)) |
(*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) |
(*.f64 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) 1/4) |
(/.f64 (*.f64 -1 c) b) |
(/.f64 (neg.f64 c) b) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)))) |
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (*.f64 -1/16 (/.f64 (*.f64 (*.f64 c c) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)))) |
(fma.f64 -1/16 (/.f64 (*.f64 a (*.f64 c c)) (/.f64 (pow.f64 b 3) 16)) (/.f64 (*.f64 -1 c) b)) |
(fma.f64 -1/16 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a 16)))) (/.f64 (neg.f64 c) b)) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))) |
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/16 (/.f64 (*.f64 (*.f64 c c) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 b 5)) 1/32))) |
(+.f64 (/.f64 (*.f64 -1 c) b) (fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a -64))) 1/32 (*.f64 -1/16 (/.f64 (*.f64 a (*.f64 c c)) (/.f64 (pow.f64 b 3) 16))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 a (*.f64 a -64)) (pow.f64 b 5)) (pow.f64 c 3)) 1/32 (fma.f64 -1/16 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a 16)))) (/.f64 (neg.f64 c) b))) |
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))) |
(fma.f64 -1/4 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 a (pow.f64 b 7))) (fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/16 (/.f64 (*.f64 (*.f64 c c) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 b 5)) 1/32)))) |
(fma.f64 -1/4 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 (*.f64 a (*.f64 c c)) a) -2) 2)) (*.f64 a (pow.f64 b 7))) (+.f64 (/.f64 (*.f64 -1 c) b) (fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a -64))) 1/32 (*.f64 -1/16 (/.f64 (*.f64 a (*.f64 c c)) (/.f64 (pow.f64 b 3) 16)))))) |
(fma.f64 -1/4 (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) (*.f64 a (pow.f64 b 7))) (fma.f64 (*.f64 (/.f64 (*.f64 a (*.f64 a -64)) (pow.f64 b 5)) (pow.f64 c 3)) 1/32 (fma.f64 -1/16 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a 16)))) (/.f64 (neg.f64 c) b)))) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
Compiled 23564 to 13301 computations (43.6% saved)
36 alts after pruning (29 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 987 | 12 | 999 |
| Fresh | 10 | 17 | 27 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 7 | 10 |
| Total | 1001 | 36 | 1037 |
| Status | Error | Program |
|---|---|---|
| 44.8b | (/.f64 (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 (*.f64 c a) -4)) -1/2) a) | |
| 40.4b | (*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 a (pow.f64 b 3)) c))) | |
| 55.4b | (*.f64 (+.f64 b (-.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 c b))) 3) a) b)) (/.f64 -1/2 a)) | |
| 47.5b | (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b))) (/.f64 -1/2 a)) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) | |
| ✓ | 32.4b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a) |
| 45.9b | (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a)) | |
| 44.8b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (pow.f64 (*.f64 (pow.f64 c 1/4) (pow.f64 (*.f64 -4 a) 1/4)) 2))) -1/2) a) | |
| 50.8b | (*.f64 (+.f64 b (sqrt.f64 (*.f64 b b))) (/.f64 -1/2 a)) | |
| 45.6b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2) a) | |
| 44.8b | (/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a)) | |
| ▶ | 32.5b | (/.f64 1 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2))) |
| 44.8b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a))))) -1/2) a) | |
| ✓ | 35.0b | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) |
| ✓ | 55.8b | (/.f64 c b) |
| ▶ | 38.0b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2)))) -1/2) a) |
| 40.9b | (+.f64 (neg.f64 (/.f64 c b)) (*.f64 (/.f64 c (*.f64 (*.f64 b b) (/.f64 b c))) (neg.f64 a))) | |
| 45.7b | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| 45.8b | (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a)) | |
| 45.6b | (*.f64 (*.f64 b 2) (/.f64 -1/2 a)) | |
| 47.9b | (fma.f64 b (/.f64 -1/2 a) (*.f64 (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))) (/.f64 -1/2 a))) | |
| 55.5b | (/.f64 (-.f64 (neg.f64 b) (-.f64 (/.f64 (*.f64 c a) (/.f64 b 2)) b)) (*.f64 2 a)) | |
| 49.0b | (fma.f64 (neg.f64 (sqrt.f64 (/.f64 c b))) (sqrt.f64 (/.f64 c b)) (*.f64 (neg.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 c a)) (/.f64 b (cbrt.f64 c))) 2)) (/.f64 (cbrt.f64 (*.f64 c a)) (/.f64 b (cbrt.f64 c))))) | |
| ✓ | 47.2b | (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
| 45.5b | (fma.f64 b (/.f64 -1/2 a) (*.f64 -1/2 (/.f64 b a))) | |
| ▶ | 39.6b | (/.f64 (neg.f64 c) b) |
| ▶ | 47.3b | (*.f64 (+.f64 b (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) (/.f64 -1/2 a)) |
| 45.6b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (pow.f64 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2))) -1/2) a) | |
| ✓ | 32.5b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2))) -1/2) a) |
| 55.4b | (*.f64 (+.f64 b (-.f64 (*.f64 (/.f64 2 (/.f64 b c)) a) b)) (/.f64 -1/2 a)) | |
| ▶ | 45.8b | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 2 a)) |
| 55.6b | (*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a)) | |
| 44.8b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (*.f64 (pow.f64 (pow.f64 c 1/4) 2) (pow.f64 (pow.f64 (*.f64 -4 a) 1/4) 2)))) -1/2) a) | |
| ✓ | 35.1b | (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b)))) (/.f64 -1/2 a)) |
| 61.5b | (fma.f64 b (/.f64 -1/2 a) (*.f64 1/2 (/.f64 b a))) | |
| ✓ | 45.5b | (/.f64 (neg.f64 b) a) |
| 48.4b | (*.f64 (+.f64 b (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (pow.f64 (*.f64 a (*.f64 c -4)) 2)) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))))) (/.f64 -1/2 a)) |
Compiled 1167 to 802 computations (31.3% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.7b | (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) | |
| 0.2b | (/.f64 1 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2))) | |
| 0.1b | (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)) | |
| 0.0b | (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) | |
| ✓ | 0.1b | (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)) |
| ✓ | 0.2b | (/.f64 1 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2))) |
| 0.7b | (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) | |
| 14.0b | (sqrt.f64 (*.f64 a (*.f64 c -4))) |
Compiled 83 to 54 computations (34.9% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | c | @ | inf | (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)) |
| 5.0ms | c | @ | -inf | (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)) |
| 4.0ms | a | @ | inf | (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)) |
| 3.0ms | a | @ | -inf | (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)) |
| 3.0ms | c | @ | 0 | (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)) |
| 1× | batch-egg-rewrite |
| 796× | log-prod_binary64 |
| 689× | prod-diff_binary64 |
| 275× | expm1-udef_binary64 |
| 275× | log1p-udef_binary64 |
| 243× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 45 |
| 1 | 323 | 42 |
| 2 | 4237 | 42 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2))) |
(/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) a)))) (cbrt.f64 (exp.f64 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) a)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) a))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) a))) (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) a))) 2) (cbrt.f64 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) a))) (sqrt.f64 (*.f64 -1/2 (/.f64 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| 1× | egg-herbie |
| 767× | fma-def_binary64 |
| 725× | associate-/l*_binary64 |
| 609× | associate-/r*_binary64 |
| 475× | unswap-sqr_binary64 |
| 303× | associate-*l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 177 | 1272 |
| 1 | 550 | 985 |
| 2 | 2264 | 906 |
| 3 | 7326 | 903 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))) |
(+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
(*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)))) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))) |
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 a b)) |
(*.f64 -2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))) |
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))) |
(+.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))) |
(+.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4))))))) (+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))))) |
(*.f64 -1 (/.f64 a b)) |
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3)))) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))))) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6)))) (*.f64 1/128 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))) |
(*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) |
(+.f64 (/.f64 a b) (*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))))) |
(+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (/.f64 a b) (*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))))) |
(+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (/.f64 a b) (+.f64 (*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -2 (/.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 1/4 (*.f64 c (*.f64 a (*.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))))))))) (pow.f64 b 5)))))) |
(*.f64 -1 (/.f64 a b)) |
| Outputs |
|---|
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(*.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) -1/2)) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))) |
(fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (*.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4)))) |
(fma.f64 (/.f64 b a) -1/2 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))) |
(fma.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) -1/4))) |
(+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))) |
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (*.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4))))) |
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4))) (fma.f64 (/.f64 b a) -1/2 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))) |
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4))) (fma.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) -1/4)))) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a))) |
(fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 (*.f64 1 c) b) (/.f64 b a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))) |
(fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (neg.f64 (/.f64 b a)))) |
(fma.f64 1/16 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) (-.f64 (/.f64 (*.f64 1 c) b) (/.f64 b a))) |
(fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) 16)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(-.f64 (fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) 16)) (/.f64 c b)) (/.f64 b a)) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
(fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/32 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6)))) (neg.f64 (/.f64 b a))))) |
(fma.f64 1/16 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) (+.f64 (/.f64 (*.f64 1 c) b) (-.f64 (/.f64 (*.f64 (*.f64 -1/32 (pow.f64 c 3)) (*.f64 a (*.f64 a -64))) (pow.f64 b 5)) (/.f64 b a)))) |
(-.f64 (fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) 16)) (fma.f64 -1/32 (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) -64)) (*.f64 a a)) (/.f64 c b))) (/.f64 b a)) |
(fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) 16)) (fma.f64 (/.f64 -1/32 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (*.f64 a (*.f64 a -64))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) |
(*.f64 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) 1/4) |
(/.f64 (*.f64 -1 c) b) |
(/.f64 (neg.f64 c) b) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)))) |
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (*.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) -1/16)) |
(fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) -1/16 (/.f64 (*.f64 -1 c) b)) |
(fma.f64 (/.f64 (*.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) 16)) -1/16 (/.f64 (neg.f64 c) b)) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))) |
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6)))) 1/32))) |
(+.f64 (/.f64 (*.f64 -1 c) b) (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) -1/16 (/.f64 (*.f64 (*.f64 1/32 (*.f64 (*.f64 a (pow.f64 c 3)) a)) -64) (pow.f64 b 5)))) |
(fma.f64 (/.f64 (*.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) 16)) -1/16 (fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) -64)) (*.f64 a a)) 1/32 (/.f64 (neg.f64 c) b))) |
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))) |
(fma.f64 -1/4 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)))) 2)) (*.f64 a (pow.f64 b 7))) (fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6)))) 1/32)))) |
(fma.f64 -1/4 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) 2)) (*.f64 a (pow.f64 b 7))) (+.f64 (/.f64 (*.f64 -1 c) b) (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) -1/16 (/.f64 (*.f64 (*.f64 1/32 (*.f64 (*.f64 a (pow.f64 c 3)) a)) -64) (pow.f64 b 5))))) |
(fma.f64 -1/4 (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) (*.f64 a (pow.f64 b 7))) (fma.f64 (/.f64 (*.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) 16)) -1/16 (fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) -64)) (*.f64 a a)) 1/32 (/.f64 (neg.f64 c) b)))) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 a b)) |
(neg.f64 (/.f64 a b)) |
(*.f64 -2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))) |
(*.f64 -2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4))) |
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))) |
(fma.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 -2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))) |
(fma.f64 -2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b c))) |
(+.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))) |
(fma.f64 2 (*.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2)) (fma.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 -2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))) |
(fma.f64 2 (*.f64 b (*.f64 b (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (*.f64 (/.f64 -1/4 (sqrt.f64 -4)) -1/2)))) (fma.f64 -2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b c)))) |
(fma.f64 -1/2 (/.f64 b c) (fma.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) a)) (/.f64 1/8 (sqrt.f64 -4))) 2) (*.f64 -2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4))))) |
(+.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4))))))) (+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))))) |
(fma.f64 2 (*.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2)) (fma.f64 -2 (*.f64 (pow.f64 b 3) (-.f64 (/.f64 1/2 (*.f64 (*.f64 c c) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a c))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2) (sqrt.f64 -4)))))) (fma.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 -2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))))) |
(fma.f64 2 (*.f64 b (*.f64 b (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (*.f64 (/.f64 -1/4 (sqrt.f64 -4)) -1/2)))) (fma.f64 -2 (*.f64 (pow.f64 b 3) (+.f64 (/.f64 1/2 (*.f64 a (*.f64 16 (*.f64 c c)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (*.f64 (/.f64 -1/4 (sqrt.f64 -4)) -1/2)) (sqrt.f64 (/.f64 1 (*.f64 a c)))) (sqrt.f64 -4)))) (fma.f64 -2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b c))))) |
(fma.f64 2 (*.f64 b (*.f64 b (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) a)) (/.f64 1/8 (sqrt.f64 -4))))) (fma.f64 -1/2 (/.f64 b c) (*.f64 -2 (+.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (*.f64 (pow.f64 b 3) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) a)) -1/2) 16) (/.f64 (/.f64 1/32 a) (*.f64 c c)))))))) |
(*.f64 -1 (/.f64 a b)) |
(neg.f64 (/.f64 a b)) |
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3)))) |
(fma.f64 -1 (/.f64 a b) (*.f64 1/4 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) (pow.f64 b 3)))) |
(-.f64 (/.f64 (*.f64 (*.f64 -1 c) (*.f64 a a)) (pow.f64 b 3)) (/.f64 a b)) |
(-.f64 (/.f64 (*.f64 (neg.f64 c) (*.f64 a a)) (pow.f64 b 3)) (/.f64 a b)) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))))) |
(fma.f64 -1 (/.f64 a b) (fma.f64 1/4 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) (pow.f64 b 3)) (*.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))))))) |
(-.f64 (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) 16))) (/.f64 (*.f64 (*.f64 -1 c) (*.f64 a a)) (pow.f64 b 3))) (/.f64 a b)) |
(-.f64 (fma.f64 -1/8 (/.f64 (pow.f64 a 3) (/.f64 (/.f64 (/.f64 (pow.f64 b 5) c) c) 16)) (/.f64 (*.f64 (neg.f64 c) (*.f64 a a)) (pow.f64 b 3))) (/.f64 a b)) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6)))) (*.f64 1/128 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))) |
(fma.f64 -1 (/.f64 a b) (fma.f64 1/4 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) (pow.f64 b 3)) (fma.f64 2 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -4) 6) (pow.f64 a 4))) 5/128) (pow.f64 b 7)) (*.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4)))))))) |
(+.f64 (-.f64 (/.f64 (*.f64 (*.f64 -1 c) (*.f64 a a)) (pow.f64 b 3)) (/.f64 a b)) (fma.f64 2 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 4)) -5/2) (pow.f64 b 7)) (*.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) 16)))))) |
(-.f64 (fma.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 4)) (/.f64 (pow.f64 b 7) -5/2)) (fma.f64 -1/8 (/.f64 (pow.f64 a 3) (/.f64 (/.f64 (/.f64 (pow.f64 b 5) c) c) 16)) (/.f64 (*.f64 (neg.f64 c) (*.f64 a a)) (pow.f64 b 3)))) (/.f64 a b)) |
(*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) |
(/.f64 (*.f64 4 b) (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) |
(*.f64 -1 (/.f64 b c)) |
(/.f64 (neg.f64 b) c) |
(+.f64 (/.f64 a b) (*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))))) |
(+.f64 (/.f64 a b) (/.f64 (*.f64 4 b) (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) |
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c))) |
(fma.f64 -1 (/.f64 b c) (/.f64 a b)) |
(-.f64 (/.f64 a b) (/.f64 b c)) |
(+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (/.f64 a b) (*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 (*.f64 c (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) 1/8) (pow.f64 b 3)) (+.f64 (/.f64 a b) (/.f64 (*.f64 4 b) (*.f64 c (pow.f64 (sqrt.f64 -4) 2))))) |
(+.f64 (*.f64 -1 (/.f64 b c)) (fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (/.f64 a b))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (fma.f64 -1 (/.f64 b c) (/.f64 a b))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (-.f64 (/.f64 a b) (/.f64 b c))) |
(+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (/.f64 a b) (+.f64 (*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -2 (/.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 1/4 (*.f64 c (*.f64 a (*.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))))))))) (pow.f64 b 5)))))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 (*.f64 c (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) 1/8) (pow.f64 b 3)) (+.f64 (/.f64 a b) (fma.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 -2 (/.f64 (fma.f64 -2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)))) 2)) (*.f64 (*.f64 c c) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/16 (*.f64 (*.f64 c c) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (*.f64 1/4 (*.f64 c (*.f64 a (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 (*.f64 (*.f64 c (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) 1/8))))))) (pow.f64 b 5)))))) |
(+.f64 (fma.f64 -2 (/.f64 (fma.f64 -2 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) 2)) (*.f64 a (*.f64 16 (*.f64 c c)))) (fma.f64 1/4 (*.f64 a (*.f64 c (*.f64 -4 (*.f64 (*.f64 c (*.f64 a a)) -1/2)))) (*.f64 (*.f64 c (*.f64 c (pow.f64 a 3))) 1))) (pow.f64 b 5)) (*.f64 -1 (/.f64 b c))) (fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (/.f64 a b))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (fma.f64 -1 (/.f64 b c) (fma.f64 -2 (/.f64 (fma.f64 c (*.f64 (*.f64 a (*.f64 (*.f64 -4 (*.f64 c (*.f64 a a))) -1/2)) 1/4) (fma.f64 (/.f64 -1/8 a) (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) (*.f64 c c)) (*.f64 (pow.f64 a 3) (*.f64 c c)))) (pow.f64 b 5)) (/.f64 a b)))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (-.f64 (fma.f64 -2 (/.f64 (fma.f64 c (*.f64 (*.f64 a (*.f64 (*.f64 -4 (*.f64 c (*.f64 a a))) -1/2)) 1/4) (fma.f64 (/.f64 -1/8 a) (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) (*.f64 c c)) (*.f64 (pow.f64 a 3) (*.f64 c c)))) (pow.f64 b 5)) (/.f64 a b)) (/.f64 b c))) |
(*.f64 -1 (/.f64 a b)) |
(neg.f64 (/.f64 a b)) |
Compiled 11 to 5 computations (54.5% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 5.0b | (/.f64 (*.f64 c a) b) | |
| 0.0b | (*.f64 -2 (/.f64 (*.f64 c a) b)) | |
| 0.0b | (+.f64 b (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) | |
| 0.0b | (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) | |
| ✓ | 0.0b | (+.f64 b (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
| ✓ | 0.0b | (*.f64 -2 (/.f64 (*.f64 c a) b)) |
| 5.0b | (/.f64 (*.f64 c a) b) | |
| ✓ | 5.6b | (*.f64 (+.f64 b (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) (/.f64 -1/2 a)) |
Compiled 61 to 25 computations (59% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | a | @ | -inf | (*.f64 (+.f64 b (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) (/.f64 -1/2 a)) |
| 1.0ms | b | @ | 0 | (*.f64 (+.f64 b (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) (/.f64 -1/2 a)) |
| 1.0ms | c | @ | 0 | (*.f64 (+.f64 b (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) (/.f64 -1/2 a)) |
| 1.0ms | a | @ | inf | (*.f64 (+.f64 b (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) (/.f64 -1/2 a)) |
| 1.0ms | a | @ | 0 | (*.f64 (+.f64 b (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) (/.f64 -1/2 a)) |
| 1× | batch-egg-rewrite |
| 795× | log-prod_binary64 |
| 499× | fma-def_binary64 |
| 277× | expm1-udef_binary64 |
| 277× | log1p-udef_binary64 |
| 256× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 48 |
| 1 | 300 | 44 |
| 2 | 4463 | 44 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 b (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) (/.f64 -1/2 a)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 b (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
| Outputs |
|---|
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/.f64 (+.f64 (pow.f64 (+.f64 b b) 3) (pow.f64 (/.f64 (*.f64 -2 c) (/.f64 b a)) 3)) (fma.f64 (+.f64 b b) (+.f64 b b) (-.f64 (*.f64 4 (pow.f64 (*.f64 (/.f64 c b) a) 2)) (*.f64 (+.f64 b b) (/.f64 (*.f64 -2 c) (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) 2) (*.f64 b b)) (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 b b) (+.f64 b b)) (*.f64 4 (pow.f64 (*.f64 (/.f64 c b) a) 2))) (-.f64 (+.f64 b b) (/.f64 (*.f64 -2 c) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b 2 (/.f64 (*.f64 -2 c) (/.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b 2 (/.f64 (*.f64 -2 c) (/.f64 b a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 b 2 (/.f64 (*.f64 -2 c) (/.f64 b a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 b 2 (/.f64 (*.f64 -2 c) (/.f64 b a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 b 2 (/.f64 (*.f64 -2 c) (/.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 b 2 (/.f64 (*.f64 -2 c) (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 b 2 (/.f64 (*.f64 -2 c) (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 b) (+.f64 1 (expm1.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (+.f64 1 (expm1.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (*.f64 -2 c) (/.f64 b a))) (exp.f64 (+.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 -2 c) (/.f64 b a)))) (exp.f64 (+.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (*.f64 -2 c) (/.f64 b a))) (*.f64 (exp.f64 b) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 -2 c) (/.f64 b a)))) (*.f64 (exp.f64 b) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (exp.f64 b) (exp.f64 b)) (exp.f64 (/.f64 (*.f64 -2 c) (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 b b)) (+.f64 1 (expm1.f64 (/.f64 (*.f64 -2 c) (/.f64 b a))))))))) 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#<rule egg-rr> (2) ((x fma.f64 (*.f64 c a) (*.f64 (/.f64 1 b) -2) (+.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 c b) a) -2 (+.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 -2 c) (/.f64 b a)) 1 (+.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) 1 b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b (fma.f64 -2 (*.f64 (/.f64 c b) a) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (*.f64 -2 c) (/.f64 b a)) (+.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 b b) (/.f64 (*.f64 -2 c) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (*.f64 -2 c) (/.f64 b a))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 -2 c) (/.f64 b a))) 2) (+.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 -2 c) (/.f64 b a))) 2) (cbrt.f64 (/.f64 (*.f64 -2 c) (/.f64 b a))) (+.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 b) (+.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (*.f64 -2 c) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (+.f64 (cbrt.f64 b) (cbrt.f64 b)) (/.f64 (*.f64 -2 c) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) (pow.f64 (cbrt.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) 2) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) 2) (cbrt.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 2) (*.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) -2) (+.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (*.f64 -2 c) (/.f64 b a))) (sqrt.f64 (/.f64 (*.f64 -2 c) (/.f64 b a))) (+.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (+.f64 (sqrt.f64 b) (sqrt.f64 b)) (/.f64 (*.f64 -2 c) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) (sqrt.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 c b) a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c b) a)) -2) (+.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -8 (pow.f64 (*.f64 (/.f64 c b) a) 3) (pow.f64 b 3)) (/.f64 1 (fma.f64 (/.f64 (*.f64 -2 c) (/.f64 b a)) (-.f64 (/.f64 (*.f64 -2 c) (/.f64 b a)) b) (*.f64 b b))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 b b) (*.f64 4 (pow.f64 (*.f64 (/.f64 c b) a) 2))) (/.f64 1 (-.f64 b (/.f64 (*.f64 -2 c) (/.f64 b a)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (*.f64 c a)) (/.f64 1 b) (+.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 b b) 1 (/.f64 (*.f64 -2 c) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 b b)) (cbrt.f64 (+.f64 b b))) (cbrt.f64 (+.f64 b b)) (/.f64 (*.f64 -2 c) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 b b)) (sqrt.f64 (+.f64 b b)) (/.f64 (*.f64 -2 c) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 b (/.f64 (*.f64 -2 c) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 (pow.f64 (cbrt.f64 b) 2)) (/.f64 (*.f64 c a) (cbrt.f64 b)) (+.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 (sqrt.f64 b)) (/.f64 (*.f64 c a) (sqrt.f64 b)) (+.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 2)) (cbrt.f64 (*.f64 (/.f64 c b) a)) (+.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (sqrt.f64 (*.f64 (/.f64 c b) a))) (sqrt.f64 (*.f64 (/.f64 c b) a)) (+.f64 b b)))))) |
| 1× | egg-herbie |
| 1032× | fma-def_binary64 |
| 941× | fma-neg_binary64 |
| 801× | div-sub_binary64 |
| 426× | times-frac_binary64 |
| 383× | distribute-rgt-in_binary64 |
Useful iterations: 9 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 812 |
| 1 | 30 | 758 |
| 2 | 56 | 758 |
| 3 | 92 | 758 |
| 4 | 139 | 758 |
| 5 | 199 | 758 |
| 6 | 315 | 758 |
| 7 | 418 | 758 |
| 8 | 783 | 758 |
| 9 | 1758 | 731 |
| 10 | 4209 | 731 |
| 11 | 5274 | 731 |
| 12 | 6124 | 731 |
| 13 | 6267 | 731 |
| 14 | 6331 | 731 |
| 15 | 6331 | 731 |
| 16 | 7828 | 731 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 2 b) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 2 b) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 2 b) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(*.f64 2 b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) |
(*.f64 2 b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) |
(*.f64 2 b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 2 b) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 2 b) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 2 b) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 2 b) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 2 b) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 2 b) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(*.f64 2 b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 2 b) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 2 b) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 2 b) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 2 b) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 2 b) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 2 b) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
| Outputs |
|---|
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(/.f64 b (neg.f64 a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
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(fma.f64 b 2 (/.f64 a (/.f64 (/.f64 b -2) c))) |
(*.f64 2 (-.f64 b (*.f64 c (/.f64 a b)))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 c b) (*.f64 a -2)) |
(*.f64 c (*.f64 a (/.f64 -2 b))) |
(/.f64 a (/.f64 (/.f64 b -2) c)) |
(+.f64 (*.f64 2 b) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2)) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) (*.f64 b 2)) |
(fma.f64 b 2 (*.f64 (/.f64 c b) (*.f64 a -2))) |
(fma.f64 b 2 (*.f64 c (*.f64 a (/.f64 -2 b)))) |
(fma.f64 (/.f64 c b) (*.f64 a -2) (*.f64 b 2)) |
(fma.f64 b 2 (/.f64 a (/.f64 (/.f64 b -2) c))) |
(*.f64 2 (-.f64 b (*.f64 c (/.f64 a b)))) |
(+.f64 (*.f64 2 b) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2)) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) (*.f64 b 2)) |
(fma.f64 b 2 (*.f64 (/.f64 c b) (*.f64 a -2))) |
(fma.f64 b 2 (*.f64 c (*.f64 a (/.f64 -2 b)))) |
(fma.f64 (/.f64 c b) (*.f64 a -2) (*.f64 b 2)) |
(fma.f64 b 2 (/.f64 a (/.f64 (/.f64 b -2) c))) |
(*.f64 2 (-.f64 b (*.f64 c (/.f64 a b)))) |
(+.f64 (*.f64 2 b) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2)) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) (*.f64 b 2)) |
(fma.f64 b 2 (*.f64 (/.f64 c b) (*.f64 a -2))) |
(fma.f64 b 2 (*.f64 c (*.f64 a (/.f64 -2 b)))) |
(fma.f64 (/.f64 c b) (*.f64 a -2) (*.f64 b 2)) |
(fma.f64 b 2 (/.f64 a (/.f64 (/.f64 b -2) c))) |
(*.f64 2 (-.f64 b (*.f64 c (/.f64 a b)))) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 14.0b | (sqrt.f64 (*.f64 -4 (*.f64 c a))) | |
| 0.1b | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 2 a)) | |
| 0.0b | (*.f64 -4 (*.f64 c a)) | |
| 0.0b | (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) | |
| ✓ | 0.0b | (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) |
| ✓ | 0.0b | (*.f64 -4 (*.f64 c a)) |
| ✓ | 0.1b | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 2 a)) |
| ✓ | 14.0b | (sqrt.f64 (*.f64 -4 (*.f64 c a))) |
Compiled 49 to 25 computations (49% saved)
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | -inf | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 2 a)) |
| 1.0ms | a | @ | inf | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 2 a)) |
| 1.0ms | c | @ | -inf | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 2 a)) |
| 1.0ms | c | @ | inf | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 2 a)) |
| 1.0ms | b | @ | 0 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 2 a)) |
| 1× | batch-egg-rewrite |
| 737× | log-prod_binary64 |
| 382× | fma-def_binary64 |
| 344× | pow2_binary64 |
| 241× | pow1/3_binary64 |
| 239× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 50 |
| 1 | 288 | 46 |
| 2 | 4168 | 46 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 -4 (*.f64 c a))) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 2 a)) |
(*.f64 -4 (*.f64 c a)) |
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b (/.f64 1/2 a)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) (*.f64 a -2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) (*.f64 a -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) (*.f64 a -2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) (*.f64 a -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 b (/.f64 1/2 a)) (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) 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(sqrt.f64 (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (*.f64 (neg.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 b)) (sqrt.f64 b) (neg.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 b)) (sqrt.f64 b) (*.f64 (neg.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))) 1)))))) |
| 1× | egg-herbie |
| 946× | fma-def_binary64 |
| 652× | fma-neg_binary64 |
| 272× | associate-*r*_binary64 |
| 270× | div-sub_binary64 |
| 209× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 400 |
| 1 | 44 | 373 |
| 2 | 89 | 355 |
| 3 | 120 | 355 |
| 4 | 174 | 355 |
| 5 | 246 | 355 |
| 6 | 464 | 355 |
| 7 | 1003 | 355 |
| 8 | 1729 | 355 |
| 9 | 2387 | 355 |
| 10 | 2469 | 355 |
| 11 | 2615 | 355 |
| 12 | 2832 | 355 |
| 13 | 3177 | 355 |
| 14 | 3922 | 355 |
| 15 | 4491 | 355 |
| 16 | 5193 | 355 |
| 17 | 5287 | 355 |
| 18 | 5399 | 355 |
| 19 | 5453 | 355 |
| 20 | 5503 | 355 |
| 21 | 5503 | 355 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(*.f64 -1/2 (/.f64 b a)) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(*.f64 -1/2 (/.f64 b a)) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1/2 (/.f64 b a)) |
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)) |
(*.f64 -1 b) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)) |
(*.f64 -1 b) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)) |
(*.f64 -1 b) |
(*.f64 -1 b) |
| Outputs |
|---|
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(*.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) -1/2)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 -1/2 (sqrt.f64 -4))) |
(*.f64 (sqrt.f64 -4) (*.f64 -1/2 (sqrt.f64 (/.f64 c a)))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a))) |
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a))) |
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a))) |
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a))) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 (*.f64 -1/2 b) a) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a))) |
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a))) |
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a))) |
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a))) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 (*.f64 -1/2 b) a) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a))) |
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a))) |
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a))) |
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a))) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 (*.f64 -1/2 b) a) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 (*.f64 -1/2 b) a) |
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(neg.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -4))) |
(*.f64 (sqrt.f64 -4) (neg.f64 (sqrt.f64 (*.f64 c a)))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)) |
(*.f64 -1 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)) |
(neg.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b)) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)) |
(*.f64 -1 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)) |
(neg.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b)) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)) |
(*.f64 -1 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)) |
(neg.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b)) |
(*.f64 -1 b) |
(neg.f64 b) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)) |
(*.f64 -1 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)) |
(neg.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b)) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)) |
(*.f64 -1 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)) |
(neg.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b)) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)) |
(*.f64 -1 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)) |
(neg.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b)) |
(*.f64 -1 b) |
(neg.f64 b) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)) |
(*.f64 -1 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)) |
(neg.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b)) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)) |
(*.f64 -1 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)) |
(neg.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b)) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)) |
(*.f64 -1 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)) |
(neg.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b)) |
(*.f64 -1 b) |
(neg.f64 b) |
(*.f64 -1 b) |
(neg.f64 b) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 3.2b | (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2) | |
| 0.7b | (+.f64 b (hypot.f64 b (cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2)))) | |
| 0.1b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2)))) -1/2) a) | |
| 0.0b | (hypot.f64 b (cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2))) | |
| ✓ | 0.1b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2)))) -1/2) a) |
| ✓ | 0.7b | (+.f64 b (hypot.f64 b (cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2)))) |
| ✓ | 3.2b | (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2) |
| ✓ | 19.8b | (cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2)) |
Compiled 84 to 58 computations (31% saved)
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | inf | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2)))) -1/2) a) |
| 1.0ms | c | @ | inf | (+.f64 b (hypot.f64 b (cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2)))) |
| 1.0ms | c | @ | inf | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2)))) -1/2) a) |
| 1.0ms | a | @ | inf | (+.f64 b (hypot.f64 b (cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2)))) |
| 1.0ms | a | @ | -inf | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2)))) -1/2) a) |
| 1× | batch-egg-rewrite |
| 784× | log-prod_binary64 |
| 687× | prod-diff_binary64 |
| 280× | expm1-udef_binary64 |
| 280× | log1p-udef_binary64 |
| 242× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 64 |
| 1 | 329 | 55 |
| 2 | 4283 | 55 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2)) |
(pow.f64 (*.f64 c (*.f64 -4 a)) 3/2) |
(+.f64 b (hypot.f64 b (cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2)))) |
(/.f64 (*.f64 (+.f64 b (hypot.f64 b (cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2)))) -1/2) a) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (cbrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (sqrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -4 a)) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 c 3/2)) (cbrt.f64 (pow.f64 (*.f64 -4 a) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 c 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 -4 a) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/4) 1/3) (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/4) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (*.f64 -4 a)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 c (*.f64 -4 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 c (*.f64 -4 a)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 1)))))) |
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-1/2)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (*.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) -1/2)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) (sqrt.f64 a)) (/.f64 -1/2 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (sqrt.f64 a)) (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (*.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) -1/2) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) -1/2)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (*.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) -1/2)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a -2) (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) -1/2) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) -1/2) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) a))) 1)))))) |
| 1× | egg-herbie |
| 919× | times-frac_binary64 |
| 682× | associate-/l*_binary64 |
| 528× | fma-def_binary64 |
| 493× | associate-/r*_binary64 |
| 353× | *-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 182 | 1534 |
| 1 | 529 | 1321 |
| 2 | 1846 | 1200 |
| 3 | 7382 | 1128 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(*.f64 2 b) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)))) |
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7)))))) |
(*.f64 2 b) |
(*.f64 2 b) |
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))) |
(+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
(*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)))) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))) |
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
| Outputs |
|---|
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) |
(*.f64 (pow.f64 a 3/2) (pow.f64 (*.f64 c -4) 3/2)) |
(pow.f64 (*.f64 (*.f64 c a) -4) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) |
(*.f64 (pow.f64 a 3/2) (pow.f64 (*.f64 c -4) 3/2)) |
(pow.f64 (*.f64 (*.f64 c a) -4) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) |
(*.f64 (pow.f64 a 3/2) (pow.f64 (*.f64 c -4) 3/2)) |
(pow.f64 (*.f64 (*.f64 c a) -4) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) |
(*.f64 (pow.f64 a 3/2) (pow.f64 (*.f64 c -4) 3/2)) |
(pow.f64 (*.f64 (*.f64 c a) -4) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) |
(*.f64 (pow.f64 a 3/2) (pow.f64 (*.f64 c -4) 3/2)) |
(pow.f64 (*.f64 (*.f64 c a) -4) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) |
(*.f64 (pow.f64 a 3/2) (pow.f64 (*.f64 c -4) 3/2)) |
(pow.f64 (*.f64 (*.f64 c a) -4) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) |
(*.f64 (pow.f64 a 3/2) (pow.f64 (*.f64 c -4) 3/2)) |
(pow.f64 (*.f64 (*.f64 c a) -4) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) |
(*.f64 (pow.f64 a 3/2) (pow.f64 (*.f64 c -4) 3/2)) |
(pow.f64 (*.f64 (*.f64 c a) -4) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) |
(*.f64 (pow.f64 (*.f64 a 4) 3/2) (pow.f64 (/.f64 -1 c) -3/2)) |
(pow.f64 (*.f64 4 (/.f64 a (/.f64 -1 c))) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) |
(*.f64 (pow.f64 (*.f64 a 4) 3/2) (pow.f64 (/.f64 -1 c) -3/2)) |
(pow.f64 (*.f64 4 (/.f64 a (/.f64 -1 c))) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) |
(*.f64 (pow.f64 (*.f64 a 4) 3/2) (pow.f64 (/.f64 -1 c) -3/2)) |
(pow.f64 (*.f64 4 (/.f64 a (/.f64 -1 c))) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) |
(*.f64 (pow.f64 (*.f64 a 4) 3/2) (pow.f64 (/.f64 -1 c) -3/2)) |
(pow.f64 (*.f64 4 (/.f64 a (/.f64 -1 c))) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) |
(*.f64 (pow.f64 a 3/2) (pow.f64 (*.f64 c -4) 3/2)) |
(pow.f64 (*.f64 (*.f64 c a) -4) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) |
(*.f64 (pow.f64 a 3/2) (pow.f64 (*.f64 c -4) 3/2)) |
(pow.f64 (*.f64 (*.f64 c a) -4) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) |
(*.f64 (pow.f64 a 3/2) (pow.f64 (*.f64 c -4) 3/2)) |
(pow.f64 (*.f64 (*.f64 c a) -4) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) |
(*.f64 (pow.f64 a 3/2) (pow.f64 (*.f64 c -4) 3/2)) |
(pow.f64 (*.f64 (*.f64 c a) -4) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) |
(*.f64 (pow.f64 a 3/2) (pow.f64 (*.f64 c -4) 3/2)) |
(pow.f64 (*.f64 (*.f64 c a) -4) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) |
(*.f64 (pow.f64 a 3/2) (pow.f64 (*.f64 c -4) 3/2)) |
(pow.f64 (*.f64 (*.f64 c a) -4) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) |
(*.f64 (pow.f64 a 3/2) (pow.f64 (*.f64 c -4) 3/2)) |
(pow.f64 (*.f64 (*.f64 c a) -4) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 a -4)))) |
(*.f64 (pow.f64 a 3/2) (pow.f64 (*.f64 c -4) 3/2)) |
(pow.f64 (*.f64 (*.f64 c a) -4) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) |
(*.f64 (pow.f64 (*.f64 c 4) 3/2) (pow.f64 (/.f64 -1 a) -3/2)) |
(pow.f64 (*.f64 4 (/.f64 c (/.f64 -1 a))) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) |
(*.f64 (pow.f64 (*.f64 c 4) 3/2) (pow.f64 (/.f64 -1 a) -3/2)) |
(pow.f64 (*.f64 4 (/.f64 c (/.f64 -1 a))) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) |
(*.f64 (pow.f64 (*.f64 c 4) 3/2) (pow.f64 (/.f64 -1 a) -3/2)) |
(pow.f64 (*.f64 4 (/.f64 c (/.f64 -1 a))) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) |
(*.f64 (pow.f64 (*.f64 c 4) 3/2) (pow.f64 (/.f64 -1 a) -3/2)) |
(pow.f64 (*.f64 4 (/.f64 c (/.f64 -1 a))) 3/2) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) |
(+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 b (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))) |
(+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/2))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b 1/2) (/.f64 (sqrt.f64 -4) b)) b)) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 b (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4))) (+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/2)))) |
(+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 1/32 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4)))))) |
(*.f64 2 b) |
(*.f64 b 2) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)) |
(fma.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) (*.f64 b 2)) |
(fma.f64 b 2 (*.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)))) |
(fma.f64 b 2 (/.f64 (*.f64 (*.f64 c a) -4) (/.f64 b 1/2))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b))) |
(fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)) (fma.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) (*.f64 b 2))) |
(+.f64 (fma.f64 b 2 (*.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)))) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3))) |
(fma.f64 b 2 (fma.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b)) (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3)))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)))) |
(fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (fma.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) (*.f64 b 2)))) |
(+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3)) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) (fma.f64 b 2 (*.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)))))) |
(fma.f64 1/16 (/.f64 (pow.f64 a 3) (/.f64 (/.f64 (pow.f64 b 5) -64) (pow.f64 c 3))) (fma.f64 b 2 (fma.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b)) (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3))))) |
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) |
(*.f64 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) -1/2) |
(*.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2) |
(*.f64 (/.f64 (*.f64 c -1/2) b) (*.f64 a -4)) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))) |
(fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)) (*.f64 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) -1/2)) |
(fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (/.f64 (*.f64 (*.f64 1/8 (*.f64 c c)) (*.f64 (*.f64 a a) 16)) (pow.f64 b 3))) |
(fma.f64 (*.f64 (*.f64 a -4) (/.f64 c b)) -1/2 (*.f64 (*.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) 16)) (*.f64 a a)) 1/8)) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))) |
(fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) (/.f64 (*.f64 -1/16 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (pow.f64 b 5)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 a a) 16) (/.f64 (pow.f64 b 3) (*.f64 c c))) 1/8 (fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (/.f64 (*.f64 -1/16 (pow.f64 c 3)) (/.f64 (/.f64 (pow.f64 b 5) -64) (pow.f64 a 3))))) |
(fma.f64 (*.f64 (*.f64 a -4) (/.f64 c b)) -1/2 (fma.f64 (*.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) 16)) (*.f64 a a)) 1/8 (*.f64 (/.f64 (pow.f64 a 3) (/.f64 (/.f64 (pow.f64 b 5) -64) (pow.f64 c 3))) -1/16))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7)))))) |
(fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (*.f64 1/2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7)))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 a a) 16) (/.f64 (pow.f64 b 3) (*.f64 c c))) 1/8 (fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (fma.f64 1/2 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) 2)) (pow.f64 b 7)) (/.f64 (*.f64 -1/16 (pow.f64 c 3)) (/.f64 (/.f64 (pow.f64 b 5) -64) (pow.f64 a 3)))))) |
(fma.f64 (*.f64 (*.f64 a -4) (/.f64 c b)) -1/2 (fma.f64 (*.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) 16)) (*.f64 a a)) 1/8 (fma.f64 1/2 (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) (pow.f64 b 7)) (*.f64 (/.f64 (pow.f64 a 3) (/.f64 (/.f64 (pow.f64 b 5) -64) (pow.f64 c 3))) -1/16)))) |
(*.f64 2 b) |
(*.f64 b 2) |
(*.f64 2 b) |
(*.f64 b 2) |
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(*.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)))) |
(*.f64 (sqrt.f64 -4) (*.f64 -1/2 (sqrt.f64 (/.f64 c a)))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) -1/2)) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))) |
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))))) |
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (/.f64 b a))) |
(*.f64 -1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))) |
(fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)))))) |
(fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) -1/4)))) |
(fma.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (*.f64 -1/4 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (*.f64 -1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) |
(fma.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (*.f64 -1/4 (sqrt.f64 (/.f64 (pow.f64 c -1) (pow.f64 a 3)))) (*.f64 -1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) |
(+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))) |
(fma.f64 1/16 (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5))))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))))))) |
(fma.f64 1/16 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4)) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3)))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) -1/4))))) |
(+.f64 (fma.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (*.f64 -1/4 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (*.f64 -1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) -1/64)) |
(+.f64 (fma.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (*.f64 -1/4 (sqrt.f64 (/.f64 (pow.f64 c -1) (pow.f64 a 3)))) (*.f64 -1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) -1/64)) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a))) |
(fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 (*.f64 1 c) b) (/.f64 b a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))) |
(fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (neg.f64 (/.f64 b a)))) |
(-.f64 (fma.f64 1/16 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a 16)) c)) (/.f64 (*.f64 1 c) b)) (/.f64 b a)) |
(fma.f64 1/16 (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 (*.f64 c c) 16))) (-.f64 (/.f64 c b) (/.f64 b a))) |
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
(fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/32 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6)))) (neg.f64 (/.f64 b a))))) |
(+.f64 (-.f64 (fma.f64 1/16 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a 16)) c)) (/.f64 (*.f64 1 c) b)) (/.f64 b a)) (/.f64 (*.f64 -1/32 (*.f64 (pow.f64 c 3) (*.f64 a (*.f64 a -64)))) (pow.f64 b 5))) |
(-.f64 (fma.f64 1/16 (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 (*.f64 c c) 16))) (fma.f64 -1/32 (/.f64 a (/.f64 (/.f64 (pow.f64 b 5) (pow.f64 c 3)) (*.f64 a -64))) (/.f64 c b))) (/.f64 b a)) |
(*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) |
(*.f64 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) 1/4) |
(/.f64 (*.f64 -1 c) b) |
(/.f64 (neg.f64 c) b) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)))) |
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (*.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))))) |
(fma.f64 -1/16 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a 16)) c)) (/.f64 (*.f64 -1 c) b)) |
(fma.f64 -1/16 (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 (*.f64 c c) 16))) (/.f64 (neg.f64 c) b)) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))) |
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6)))) 1/32))) |
(+.f64 (fma.f64 -1/16 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a 16)) c)) (/.f64 (*.f64 -1 c) b)) (/.f64 (*.f64 1/32 (pow.f64 c 3)) (/.f64 (pow.f64 b 5) (*.f64 a (*.f64 a -64))))) |
(fma.f64 -1/16 (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 (*.f64 c c) 16))) (fma.f64 (/.f64 a (/.f64 (/.f64 (pow.f64 b 5) (pow.f64 c 3)) (*.f64 a -64))) 1/32 (/.f64 (neg.f64 c) b))) |
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))) |
(fma.f64 -1/4 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 a (pow.f64 b 7))) (fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6)))) 1/32)))) |
(fma.f64 -1/4 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) 2)) (*.f64 a (pow.f64 b 7))) (+.f64 (fma.f64 -1/16 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a 16)) c)) (/.f64 (*.f64 -1 c) b)) (/.f64 (*.f64 1/32 (pow.f64 c 3)) (/.f64 (pow.f64 b 5) (*.f64 a (*.f64 a -64)))))) |
(fma.f64 -1/4 (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) (*.f64 a (pow.f64 b 7))) (fma.f64 -1/16 (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 (*.f64 c c) 16))) (fma.f64 (/.f64 a (/.f64 (/.f64 (pow.f64 b 5) (pow.f64 c 3)) (*.f64 a -64))) 1/32 (/.f64 (neg.f64 c) b)))) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
Compiled 21098 to 13696 computations (35.1% saved)
37 alts after pruning (28 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 898 | 18 | 916 |
| Fresh | 14 | 10 | 24 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 9 | 11 |
| Total | 915 | 37 | 952 |
| Status | Error | Program |
|---|---|---|
| 47.5b | (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b))) (/.f64 -1/2 a)) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) | |
| ✓ | 32.4b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a) |
| 45.8b | (pow.f64 (/.f64 a (/.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) -2)) -1) | |
| 44.8b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 -4 a)) (sqrt.f64 c)))) -1/2) a) | |
| 44.8b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (pow.f64 (*.f64 (pow.f64 c 1/4) (pow.f64 (*.f64 -4 a) 1/4)) 2))) -1/2) a) | |
| 39.3b | (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) | |
| 50.8b | (*.f64 (+.f64 b (sqrt.f64 (*.f64 b b))) (/.f64 -1/2 a)) | |
| 45.7b | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| ✓ | 32.5b | (/.f64 1 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2))) |
| 39.8b | (/.f64 1 (/.f64 (neg.f64 b) c)) | |
| 45.6b | (/.f64 1 (neg.f64 (/.f64 a b))) | |
| 47.9b | (*.f64 1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) a)) | |
| 46.8b | (/.f64 (-.f64 (neg.f64 b) (exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 -4 c))) 1/2))) (*.f64 2 a)) | |
| 52.3b | (/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a))) (*.f64 2 a)) | |
| ✓ | 35.0b | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) |
| ✓ | 55.8b | (/.f64 c b) |
| 55.9b | (*.f64 (/.f64 a (/.f64 (/.f64 b -2) c)) (/.f64 -1/2 a)) | |
| 48.1b | (/.f64 (/.f64 (fma.f64 b b (*.f64 4 (*.f64 c a))) (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (*.f64 2 a)) | |
| 40.9b | (+.f64 (neg.f64 (/.f64 c b)) (*.f64 (/.f64 c (*.f64 (*.f64 b b) (/.f64 b c))) (neg.f64 a))) | |
| 45.8b | (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a)) | |
| 56.0b | (*.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a)) | |
| 45.5b | (fma.f64 b (/.f64 -1/2 a) (*.f64 -1/2 (/.f64 b a))) | |
| 59.3b | (*.f64 -1/2 (/.f64 b a)) | |
| ✓ | 47.3b | (*.f64 (+.f64 b (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) (/.f64 -1/2 a)) |
| 45.6b | (/.f64 1 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2))) | |
| ✓ | 47.2b | (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
| 50.8b | (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 3/2))) (*.f64 2 a)) | |
| ✓ | 39.6b | (/.f64 (neg.f64 c) b) |
| 45.9b | (/.f64 (-.f64 (neg.f64 b) (*.f64 (cbrt.f64 (*.f64 a (*.f64 -4 c))) (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))) (*.f64 2 a)) | |
| 55.6b | (*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a)) | |
| 44.8b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (*.f64 (pow.f64 (pow.f64 c 1/4) 2) (pow.f64 (pow.f64 (*.f64 -4 a) 1/4) 2)))) -1/2) a) | |
| 45.6b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2) a) | |
| 45.9b | (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) 2)) (*.f64 2 a)) | |
| ✓ | 35.1b | (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b)))) (/.f64 -1/2 a)) |
| 40.4b | (*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 a (pow.f64 b 3)) c))) | |
| 45.6b | (/.f64 (*.f64 (+.f64 b (hypot.f64 b (pow.f64 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2))) -1/2) a) | |
| ✓ | 45.5b | (/.f64 (neg.f64 b) a) |
Compiled 602 to 433 computations (28.1% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 (neg.f64 c) b) |
(neg.f64 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 1 (/.f64 (neg.f64 b) c)) |
(/.f64 1 (neg.f64 (/.f64 a b))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (*.f64 b 2) (/.f64 -1/2 a)) |
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a)) |
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a)) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(*.f64 (/.f64 a (/.f64 (/.f64 b -2) c)) (/.f64 -1/2 a)) |
(*.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a)) |
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a)) |
(/.f64 (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 (*.f64 c a) -4)) -1/2) a) |
(/.f64 (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2) a) |
(*.f64 (+.f64 b (-.f64 (*.f64 (/.f64 2 (/.f64 b c)) a) b)) (/.f64 -1/2 a)) |
(*.f64 (+.f64 b (-.f64 (*.f64 (*.f64 2 (/.f64 c b)) a) b)) (/.f64 -1/2 a)) |
(*.f64 (+.f64 b (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) (/.f64 -1/2 a)) |
(*.f64 (+.f64 b (-.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) b)) (/.f64 -1/2 a)) |
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
(*.f64 (+.f64 b (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) (/.f64 -1/2 a)) |
(/.f64 (-.f64 (neg.f64 b) (-.f64 (/.f64 (*.f64 c a) (/.f64 b 2)) b)) (*.f64 2 a)) |
(+.f64 (neg.f64 (/.f64 c b)) (*.f64 (/.f64 c (*.f64 (*.f64 b b) (/.f64 b c))) (neg.f64 a))) |
(fma.f64 b (/.f64 -1/2 a) (*.f64 1/2 (/.f64 b a))) |
(fma.f64 b (/.f64 -1/2 a) (*.f64 -1/2 (/.f64 b a))) |
(*.f64 (+.f64 b (sqrt.f64 (*.f64 b b))) (/.f64 -1/2 a)) |
(*.f64 1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) a)) |
(*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a)) |
(*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 a (pow.f64 b 3)) c))) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 2 a)) |
(*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a)) |
(*.f64 (+.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b)) (/.f64 -1/2 a)) |
(+.f64 (neg.f64 (/.f64 c b)) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a))) |
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b)))) (/.f64 -1/2 a)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) |
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))) |
(pow.f64 (/.f64 a (/.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) -2)) -1) |
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a))) (*.f64 2 a)) |
(/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a) |
(/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 3/2))) (*.f64 2 a)) |
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) |
(/.f64 (-.f64 (neg.f64 b) (exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 -4 c))) 1/2))) (*.f64 2 a)) |
(/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) 2)) (*.f64 2 a)) |
(/.f64 1 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(*.f64 (+.f64 b (-.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 c b))) 3) a) b)) (/.f64 -1/2 a)) |
(+.f64 (*.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (*.f64 (/.f64 -1/2 a) b)) |
(+.f64 (*.f64 b (/.f64 -1/2 a)) (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a))) |
(/.f64 (/.f64 (fma.f64 b b (*.f64 4 (*.f64 c a))) (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (*.f64 2 a)) |
(*.f64 (+.f64 b (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (pow.f64 (*.f64 a (*.f64 c -4)) 2)) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))))) (/.f64 -1/2 a)) |
(/.f64 (*.f64 (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 -4 a)) (sqrt.f64 c)))) -1/2) a) |
(/.f64 (*.f64 (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2) a) |
(/.f64 (*.f64 (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2) a) |
(/.f64 (*.f64 (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a))))) -1/2) a) |
(/.f64 (*.f64 (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))))) -1/2) a) |
(/.f64 (*.f64 (+.f64 b (hypot.f64 b (cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2)))) -1/2) a) |
(/.f64 1 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2))) |
(/.f64 (*.f64 (+.f64 b (hypot.f64 b (exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 -4 a))) 1/2)))) -1/2) a) |
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a)) 3)) |
(/.f64 (*.f64 (+.f64 b (hypot.f64 b (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2))) -1/2) a) |
(fma.f64 b (/.f64 -1/2 a) (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a))) |
(*.f64 (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))) (/.f64 -1/2 a)) |
(*.f64 (+.f64 b (exp.f64 (*.f64 (log.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 1/2))) (/.f64 -1/2 a)) |
(*.f64 (+.f64 b (pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a)) |
(fma.f64 b (/.f64 -1/2 a) (sqrt.f64 (*.f64 (/.f64 1/4 (*.f64 a a)) (fma.f64 b b (*.f64 -4 (*.f64 a c)))))) |
(/.f64 (-.f64 (neg.f64 b) (*.f64 (cbrt.f64 (*.f64 a (*.f64 -4 c))) (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))) (*.f64 2 a)) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b))) (/.f64 -1/2 a)) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b))) (*.f64 (*.f64 a -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) |
(*.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (/.f64 -1/2 a)) |
(/.f64 (*.f64 (+.f64 b (hypot.f64 b (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 3))) -1/2) a) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))) 3) |
(fma.f64 b (/.f64 -1/2 a) (*.f64 (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))) (/.f64 -1/2 a))) |
(/.f64 (*.f64 (+.f64 b (hypot.f64 b (pow.f64 (*.f64 (pow.f64 c 1/4) (pow.f64 (*.f64 -4 a) 1/4)) 2))) -1/2) a) |
(/.f64 (*.f64 (+.f64 b (hypot.f64 b (pow.f64 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2))) -1/2) a) |
(/.f64 (*.f64 (+.f64 b (hypot.f64 b (*.f64 (pow.f64 (pow.f64 c 1/4) 2) (pow.f64 (pow.f64 (*.f64 -4 a) 1/4) 2)))) -1/2) a) |
(/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (*.f64 c (*.f64 -4 a))) 3/2)) (+.f64 (fma.f64 b b (*.f64 c (*.f64 -4 a))) (-.f64 (*.f64 b b) (*.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b))))) -1/2) a) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) -1/2)) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) -1/2)) (/.f64 1 a))) |
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 c b))) (sqrt.f64 (/.f64 c b)) (*.f64 (neg.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 c a)) (/.f64 b (cbrt.f64 c))) 2)) (/.f64 (cbrt.f64 (*.f64 c a)) (/.f64 b (cbrt.f64 c))))) |
| Outputs |
|---|
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) |
(/.f64 (neg.f64 b) a) |
4 calls:
| 517.0ms | a |
| 411.0ms | c |
| 157.0ms | b |
| 101.0ms | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) |
| Error | Segments | Branch |
|---|---|---|
| 16.6b | 13 | a |
| 10.8b | 3 | b |
| 20.2b | 9 | c |
| 10.9b | 5 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) |
Compiled 1270 to 749 computations (41% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 49.0ms | 2.4539242502786578e+135 | 2.729037515613033e+140 |
| 92.0ms | -5.5309639862152847e-104 | -2.982830638974393e-118 |
Compiled 627 to 448 computations (28.5% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 (neg.f64 c) b) |
(neg.f64 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 1 (/.f64 (neg.f64 b) c)) |
(/.f64 1 (neg.f64 (/.f64 a b))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (*.f64 b 2) (/.f64 -1/2 a)) |
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a)) |
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a)) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(*.f64 (/.f64 a (/.f64 (/.f64 b -2) c)) (/.f64 -1/2 a)) |
(*.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a)) |
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a)) |
(/.f64 (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 (*.f64 c a) -4)) -1/2) a) |
(/.f64 (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2) a) |
(*.f64 (+.f64 b (-.f64 (*.f64 (/.f64 2 (/.f64 b c)) a) b)) (/.f64 -1/2 a)) |
(*.f64 (+.f64 b (-.f64 (*.f64 (*.f64 2 (/.f64 c b)) a) b)) (/.f64 -1/2 a)) |
(*.f64 (+.f64 b (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) (/.f64 -1/2 a)) |
(*.f64 (+.f64 b (-.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) b)) (/.f64 -1/2 a)) |
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
(*.f64 (+.f64 b (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) (/.f64 -1/2 a)) |
(/.f64 (-.f64 (neg.f64 b) (-.f64 (/.f64 (*.f64 c a) (/.f64 b 2)) b)) (*.f64 2 a)) |
(+.f64 (neg.f64 (/.f64 c b)) (*.f64 (/.f64 c (*.f64 (*.f64 b b) (/.f64 b c))) (neg.f64 a))) |
(fma.f64 b (/.f64 -1/2 a) (*.f64 1/2 (/.f64 b a))) |
(fma.f64 b (/.f64 -1/2 a) (*.f64 -1/2 (/.f64 b a))) |
(*.f64 (+.f64 b (sqrt.f64 (*.f64 b b))) (/.f64 -1/2 a)) |
(*.f64 1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) a)) |
(*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a)) |
(*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 a (pow.f64 b 3)) c))) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 2 a)) |
(*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a)) |
(*.f64 (+.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b)) (/.f64 -1/2 a)) |
(+.f64 (neg.f64 (/.f64 c b)) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a))) |
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b)))) (/.f64 -1/2 a)) |
| Outputs |
|---|
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b)))) (/.f64 -1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
3 calls:
| 273.0ms | a |
| 162.0ms | c |
| 61.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 25.6b | 12 | a |
| 10.8b | 3 | b |
| 32.0b | 5 | c |
Compiled 418 to 217 computations (48.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 86.0ms | 3.9209267409071416e+59 | 1.3137903345328833e+65 |
| 121.0ms | -1.5383196332578343e-88 | -2.3976054908916383e-98 |
Compiled 635 to 438 computations (31% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 (neg.f64 c) b) |
(neg.f64 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 1 (/.f64 (neg.f64 b) c)) |
(/.f64 1 (neg.f64 (/.f64 a b))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (*.f64 b 2) (/.f64 -1/2 a)) |
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a)) |
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a)) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(*.f64 (/.f64 a (/.f64 (/.f64 b -2) c)) (/.f64 -1/2 a)) |
(*.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a)) |
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a)) |
(/.f64 (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 (*.f64 c a) -4)) -1/2) a) |
(/.f64 (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2) a) |
(*.f64 (+.f64 b (-.f64 (*.f64 (/.f64 2 (/.f64 b c)) a) b)) (/.f64 -1/2 a)) |
(*.f64 (+.f64 b (-.f64 (*.f64 (*.f64 2 (/.f64 c b)) a) b)) (/.f64 -1/2 a)) |
(*.f64 (+.f64 b (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) (/.f64 -1/2 a)) |
(*.f64 (+.f64 b (-.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) b)) (/.f64 -1/2 a)) |
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
(*.f64 (+.f64 b (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) (/.f64 -1/2 a)) |
(/.f64 (-.f64 (neg.f64 b) (-.f64 (/.f64 (*.f64 c a) (/.f64 b 2)) b)) (*.f64 2 a)) |
(+.f64 (neg.f64 (/.f64 c b)) (*.f64 (/.f64 c (*.f64 (*.f64 b b) (/.f64 b c))) (neg.f64 a))) |
(fma.f64 b (/.f64 -1/2 a) (*.f64 1/2 (/.f64 b a))) |
(fma.f64 b (/.f64 -1/2 a) (*.f64 -1/2 (/.f64 b a))) |
(*.f64 (+.f64 b (sqrt.f64 (*.f64 b b))) (/.f64 -1/2 a)) |
(*.f64 1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) a)) |
(*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a)) |
(*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 a (pow.f64 b 3)) c))) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 2 a)) |
(*.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/2 a)) |
(*.f64 (+.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b)) (/.f64 -1/2 a)) |
(+.f64 (neg.f64 (/.f64 c b)) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a))) |
| Outputs |
|---|
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
3 calls:
| 363.0ms | a |
| 181.0ms | c |
| 91.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 32.7b | 6 | a |
| 12.8b | 3 | b |
| 34.9b | 5 | c |
Compiled 402 to 208 computations (48.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 161.0ms | 5.219241473833618e-29 | 4.648559144091898e-26 |
| 226.0ms | -5.5309639862152847e-104 | -2.982830638974393e-118 |
Compiled 550 to 399 computations (27.5% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 (neg.f64 c) b) |
(neg.f64 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 1 (/.f64 (neg.f64 b) c)) |
(/.f64 1 (neg.f64 (/.f64 a b))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (*.f64 b 2) (/.f64 -1/2 a)) |
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a)) |
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a)) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(*.f64 (/.f64 a (/.f64 (/.f64 b -2) c)) (/.f64 -1/2 a)) |
(*.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a)) |
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a)) |
(/.f64 (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 (*.f64 c a) -4)) -1/2) a) |
(/.f64 (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2) a) |
(*.f64 (+.f64 b (-.f64 (*.f64 (/.f64 2 (/.f64 b c)) a) b)) (/.f64 -1/2 a)) |
(*.f64 (+.f64 b (-.f64 (*.f64 (*.f64 2 (/.f64 c b)) a) b)) (/.f64 -1/2 a)) |
(*.f64 (+.f64 b (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) (/.f64 -1/2 a)) |
(*.f64 (+.f64 b (-.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) b)) (/.f64 -1/2 a)) |
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
(*.f64 (+.f64 b (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) (/.f64 -1/2 a)) |
(/.f64 (-.f64 (neg.f64 b) (-.f64 (/.f64 (*.f64 c a) (/.f64 b 2)) b)) (*.f64 2 a)) |
(+.f64 (neg.f64 (/.f64 c b)) (*.f64 (/.f64 c (*.f64 (*.f64 b b) (/.f64 b c))) (neg.f64 a))) |
(fma.f64 b (/.f64 -1/2 a) (*.f64 1/2 (/.f64 b a))) |
(fma.f64 b (/.f64 -1/2 a) (*.f64 -1/2 (/.f64 b a))) |
(*.f64 (+.f64 b (sqrt.f64 (*.f64 b b))) (/.f64 -1/2 a)) |
(*.f64 1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) a)) |
(*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a)) |
(*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 a (pow.f64 b 3)) c))) |
| Outputs |
|---|
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
3 calls:
| 225.0ms | c |
| 114.0ms | a |
| 93.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 33.7b | 4 | a |
| 12.8b | 3 | b |
| 34.9b | 5 | c |
Compiled 346 to 180 computations (48% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 482.0ms | 5.219241473833618e-29 | 4.648559144091898e-26 |
| 171.0ms | -5.5309639862152847e-104 | -2.982830638974393e-118 |
Compiled 532 to 381 computations (28.4% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 (neg.f64 c) b) |
(neg.f64 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 1 (/.f64 (neg.f64 b) c)) |
(/.f64 1 (neg.f64 (/.f64 a b))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (*.f64 b 2) (/.f64 -1/2 a)) |
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a)) |
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a)) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(*.f64 (/.f64 a (/.f64 (/.f64 b -2) c)) (/.f64 -1/2 a)) |
(*.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a)) |
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a)) |
(/.f64 (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 (*.f64 c a) -4)) -1/2) a) |
(/.f64 (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2) a) |
(*.f64 (+.f64 b (-.f64 (*.f64 (/.f64 2 (/.f64 b c)) a) b)) (/.f64 -1/2 a)) |
(*.f64 (+.f64 b (-.f64 (*.f64 (*.f64 2 (/.f64 c b)) a) b)) (/.f64 -1/2 a)) |
(*.f64 (+.f64 b (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) (/.f64 -1/2 a)) |
(*.f64 (+.f64 b (-.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) b)) (/.f64 -1/2 a)) |
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
(*.f64 (+.f64 b (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) (/.f64 -1/2 a)) |
(/.f64 (-.f64 (neg.f64 b) (-.f64 (/.f64 (*.f64 c a) (/.f64 b 2)) b)) (*.f64 2 a)) |
(+.f64 (neg.f64 (/.f64 c b)) (*.f64 (/.f64 c (*.f64 (*.f64 b b) (/.f64 b c))) (neg.f64 a))) |
(fma.f64 b (/.f64 -1/2 a) (*.f64 1/2 (/.f64 b a))) |
(fma.f64 b (/.f64 -1/2 a) (*.f64 -1/2 (/.f64 b a))) |
(*.f64 (+.f64 b (sqrt.f64 (*.f64 b b))) (/.f64 -1/2 a)) |
(*.f64 1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) a)) |
| Outputs |
|---|
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(*.f64 1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
3 calls:
| 305.0ms | c |
| 92.0ms | b |
| 82.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 33.6b | 5 | a |
| 13.3b | 3 | b |
| 35.3b | 5 | c |
Compiled 321 to 164 computations (48.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 94.0ms | 5.219241473833618e-29 | 4.648559144091898e-26 |
| 93.0ms | -5.5309639862152847e-104 | -2.982830638974393e-118 |
Compiled 532 to 381 computations (28.4% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 (neg.f64 c) b) |
(neg.f64 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 1 (/.f64 (neg.f64 b) c)) |
(/.f64 1 (neg.f64 (/.f64 a b))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (*.f64 b 2) (/.f64 -1/2 a)) |
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a)) |
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a)) |
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(*.f64 (/.f64 a (/.f64 (/.f64 b -2) c)) (/.f64 -1/2 a)) |
(*.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a)) |
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a)) |
(/.f64 (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 (*.f64 c a) -4)) -1/2) a) |
(/.f64 (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2) a) |
(*.f64 (+.f64 b (-.f64 (*.f64 (/.f64 2 (/.f64 b c)) a) b)) (/.f64 -1/2 a)) |
(*.f64 (+.f64 b (-.f64 (*.f64 (*.f64 2 (/.f64 c b)) a) b)) (/.f64 -1/2 a)) |
(*.f64 (+.f64 b (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) (/.f64 -1/2 a)) |
(*.f64 (+.f64 b (-.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) b)) (/.f64 -1/2 a)) |
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
(*.f64 (+.f64 b (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) (/.f64 -1/2 a)) |
(/.f64 (-.f64 (neg.f64 b) (-.f64 (/.f64 (*.f64 c a) (/.f64 b 2)) b)) (*.f64 2 a)) |
(+.f64 (neg.f64 (/.f64 c b)) (*.f64 (/.f64 c (*.f64 (*.f64 b b) (/.f64 b c))) (neg.f64 a))) |
(fma.f64 b (/.f64 -1/2 a) (*.f64 1/2 (/.f64 b a))) |
(fma.f64 b (/.f64 -1/2 a) (*.f64 -1/2 (/.f64 b a))) |
(*.f64 (+.f64 b (sqrt.f64 (*.f64 b b))) (/.f64 -1/2 a)) |
| Outputs |
|---|
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 (neg.f64 b) a) |
3 calls:
| 77.0ms | c |
| 60.0ms | a |
| 30.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 35.0b | 4 | a |
| 22.4b | 2 | b |
| 36.6b | 5 | c |
Compiled 309 to 156 computations (49.5% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 51.0ms | 1.1882871895627918e-282 | 3.4156706615595464e-278 |
Compiled 194 to 139 computations (28.4% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 (neg.f64 c) b) |
(neg.f64 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 b) a) |
(*.f64 -1/2 (/.f64 b a)) |
(/.f64 1 (/.f64 (neg.f64 b) c)) |
(/.f64 1 (neg.f64 (/.f64 a b))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (*.f64 b 2) (/.f64 -1/2 a)) |
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a)) |
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a)) |
| Outputs |
|---|
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 b) a) |
3 calls:
| 41.0ms | c |
| 31.0ms | a |
| 17.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 35.3b | 4 | a |
| 22.5b | 2 | b |
| 37.4b | 4 | c |
Compiled 88 to 41 computations (53.4% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 56.0ms | -3.913515033955547e-222 | -1.3580868412101886e-227 |
Compiled 170 to 127 computations (25.3% saved)
Total -16.8b remaining (-42.5%)
Threshold costs -16.8b (-42.5%)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 (neg.f64 c) b) |
(neg.f64 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
| Outputs |
|---|
(/.f64 (neg.f64 c) b) |
3 calls:
| 9.0ms | a |
| 9.0ms | b |
| 8.0ms | c |
| Error | Segments | Branch |
|---|---|---|
| 39.6b | 1 | a |
| 39.6b | 1 | b |
| 39.6b | 1 | c |
Compiled 30 to 16 computations (46.7% saved)
| 1× | egg-herbie |
| 27× | *-commutative_binary64 |
| 26× | +-commutative_binary64 |
| 21× | sub-neg_binary64 |
| 15× | neg-sub0_binary64 |
| 15× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 330 |
| 1 | 119 | 330 |
| 2 | 152 | 330 |
| 3 | 189 | 330 |
| 4 | 208 | 330 |
| 5 | 217 | 330 |
| 6 | 220 | 330 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 b -6814113040271315/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) (if (<=.f64 b 2500000000000000146660153175185029938865510715974326097023428386377455338013453902376193839490348397451007593964251874844200525904216064) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (/.f64 (neg.f64 b) a))) |
(if (<=.f64 b -7387876161823965/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) (if (<=.f64 b 395000000000000004984753064698535370970644244716461865566208) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b)))) (/.f64 -1/2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b -6814113040271315/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) (if (<=.f64 b 4816960962882615/89202980794122492566142873090593446023921664) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b -6814113040271315/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) (if (<=.f64 b 4816960962882615/89202980794122492566142873090593446023921664) (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b -6814113040271315/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) (if (<=.f64 b 4816960962882615/89202980794122492566142873090593446023921664) (*.f64 1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) a)) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b 2714342820967219/79833612381388792466254908521473542642698050417418301660101889697488475674758562631398318619705428043573697873767699809758897519535743746429566871931393256812800226918043427060701508857774519487306134269781756959733232418204834815555554210737921766300284836275030241665694339809213760397115392) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) (/.f64 (neg.f64 b) a)) |
(if (<=.f64 b -5803839762378625/426752923704310673541110514606160499017264532628218122265360499952898383220328452577371660855779474607547514277979727388536883305863639365143254787349173122950090085088896931741637010298356097582653761032696742526828207874398493522634488152064) (/.f64 (neg.f64 c) b) (/.f64 (neg.f64 b) a)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c b) |
| Outputs |
|---|
(if (<=.f64 b -6814113040271315/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) (if (<=.f64 b 2500000000000000146660153175185029938865510715974326097023428386377455338013453902376193839490348397451007593964251874844200525904216064) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (/.f64 (neg.f64 b) a))) |
(if (<=.f64 b -6814113040271315/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) (if (<=.f64 b 2500000000000000146660153175185029938865510715974326097023428386377455338013453902376193839490348397451007593964251874844200525904216064) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 a 2)) (/.f64 (neg.f64 b) a))) |
(if (<=.f64 b -7387876161823965/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) (if (<=.f64 b 395000000000000004984753064698535370970644244716461865566208) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b)))) (/.f64 -1/2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b -7387876161823965/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) (if (<=.f64 b 395000000000000004984753064698535370970644244716461865566208) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b -6814113040271315/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) (if (<=.f64 b 4816960962882615/89202980794122492566142873090593446023921664) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b -6814113040271315/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) (if (<=.f64 b 4816960962882615/89202980794122492566142873090593446023921664) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a c) -4))) (*.f64 a 2)) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b -6814113040271315/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) (if (<=.f64 b 4816960962882615/89202980794122492566142873090593446023921664) (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b -6814113040271315/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) (if (<=.f64 b 4816960962882615/89202980794122492566142873090593446023921664) (*.f64 (/.f64 -1/2 a) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b -6814113040271315/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) (if (<=.f64 b 4816960962882615/89202980794122492566142873090593446023921664) (*.f64 1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) a)) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b -6814113040271315/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) (if (<=.f64 b 4816960962882615/89202980794122492566142873090593446023921664) (*.f64 1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) a)) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b 2714342820967219/79833612381388792466254908521473542642698050417418301660101889697488475674758562631398318619705428043573697873767699809758897519535743746429566871931393256812800226918043427060701508857774519487306134269781756959733232418204834815555554210737921766300284836275030241665694339809213760397115392) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) (/.f64 (neg.f64 b) a)) |
(if (<=.f64 b -5803839762378625/426752923704310673541110514606160499017264532628218122265360499952898383220328452577371660855779474607547514277979727388536883305863639365143254787349173122950090085088896931741637010298356097582653761032696742526828207874398493522634488152064) (/.f64 (neg.f64 c) b) (/.f64 (neg.f64 b) a)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c b) |
Compiled 250 to 161 computations (35.6% saved)
| 3× | egg-herbie |
| 1217× | fma-neg_binary64 |
| 846× | fma-def_binary64 |
| 776× | div-sub_binary64 |
| 767× | fma-def_binary64 |
| 725× | associate-/l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 26 |
| 1 | 38 | 24 |
| 2 | 100 | 24 |
| 3 | 259 | 22 |
| 4 | 461 | 22 |
| 5 | 840 | 22 |
| 6 | 1793 | 22 |
| 7 | 3010 | 22 |
| 8 | 3701 | 22 |
| 9 | 4761 | 22 |
| 10 | 6491 | 22 |
| 11 | 7461 | 22 |
| 12 | 7587 | 22 |
| 13 | 7682 | 22 |
| 14 | 7714 | 22 |
| 0 | 177 | 1272 |
| 1 | 550 | 985 |
| 2 | 2264 | 906 |
| 3 | 7326 | 903 |
| 0 | 151 | 2214 |
| 1 | 462 | 2111 |
| 2 | 1564 | 2000 |
| 3 | 7491 | 2000 |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
Compiled 414 to 294 computations (29% saved)
Compiled 226 to 103 computations (54.4% saved)
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