Time bar (total: 15.0s)
| 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)
| 940.0ms | 5572× | body | 256 | valid |
| 636.0ms | 1172× | body | 2048 | valid |
| 362.0ms | 405× | body | 4096 | valid |
| 287.0ms | 736× | body | 1024 | valid |
| 149.0ms | 1006× | body | 256 | invalid |
| 94.0ms | 371× | body | 512 | valid |
| 84.0ms | 573× | body | 256 | infinite |
| 2× | egg-herbie |
| 807× | fma-def_binary64 |
| 685× | div-sub_binary64 |
| 484× | associate-/r*_binary64 |
| 440× | distribute-frac-neg_binary64 |
| 353× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 104 |
| 1 | 98 | 88 |
| 2 | 198 | 88 |
| 3 | 446 | 88 |
| 4 | 757 | 88 |
| 5 | 1250 | 88 |
| 6 | 2225 | 88 |
| 7 | 4449 | 88 |
| 8 | 7171 | 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 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 a) c))) b) (*.f64 a 2)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (*.f64 a 2)) |
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) a)) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -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 (sqrt.f64 (fma.f64 a a (*.f64 (*.f64 -4 b) c))) a) (*.f64 b 2)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (*.f64 b (*.f64 c -4)))) a) (*.f64 b 2)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (*.f64 c -4) (*.f64 a a))) a) (*.f64 b 2)) |
(*.f64 -1/2 (/.f64 (-.f64 a (sqrt.f64 (fma.f64 b (*.f64 c -4) (*.f64 a a)))) b)) |
(*.f64 (/.f64 (-.f64 a (sqrt.f64 (fma.f64 a a (*.f64 c (*.f64 b -4))))) b) -1/2) |
(*.f64 (-.f64 a (sqrt.f64 (fma.f64 a a (*.f64 c (*.f64 b -4))))) (/.f64 -1/2 b)) |
(*.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 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 a) c))) b) (*.f64 c 2)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (*.f64 c 2)) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (/.f64 -1/2 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 (sqrt.f64 (fma.f64 c c (*.f64 (*.f64 -4 b) a))) c) (*.f64 a 2)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (*.f64 b (*.f64 a -4)))) c) (*.f64 a 2)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c))) c) (*.f64 a 2)) |
(*.f64 -1/2 (/.f64 (-.f64 c (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c)))) a)) |
(*.f64 (-.f64 c (sqrt.f64 (fma.f64 c c (*.f64 b (*.f64 a -4))))) (/.f64 -1/2 a)) |
(*.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c))) c) a)) |
Compiled 23 to 17 computations (26.1% saved)
| 1× | egg-herbie |
| 852× | fma-def_binary64 |
| 747× | fma-neg_binary64 |
| 695× | div-sub_binary64 |
| 619× | times-frac_binary64 |
| 422× | distribute-rgt-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 26 |
| 1 | 34 | 22 |
| 2 | 69 | 22 |
| 3 | 161 | 22 |
| 4 | 257 | 22 |
| 5 | 415 | 22 |
| 6 | 730 | 22 |
| 7 | 1322 | 22 |
| 8 | 2632 | 22 |
| 9 | 3914 | 22 |
| 10 | 5780 | 22 |
| 11 | 6909 | 22 |
| 12 | 7751 | 22 |
| 13 | 7839 | 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 -4 (*.f64 a c))))) (*.f64 a 2)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) b) (*.f64 a 2)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (*.f64 a 2)) |
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) a) -1/2) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 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 |
|---|---|---|
| ▶ | 32.3b | (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) |
| ▶ | 32.0b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) |
Compiled 38 to 26 computations (31.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 a (*.f64 c -4)) |
| ✓ | 0.6b | (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) |
| ✓ | 1.0b | (fma.f64 b b (*.f64 a (*.f64 c -4))) |
| ✓ | 23.8b | (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) |
Compiled 62 to 36 computations (41.9% saved)
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | a | @ | -inf | (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) |
| 2.0ms | a | @ | inf | (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) |
| 2.0ms | c | @ | 0 | (-.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× | batch-egg-rewrite |
| 630× | prod-diff_binary64 |
| 510× | log-prod_binary64 |
| 343× | pow-prod-down_binary64 |
| 303× | fma-def_binary64 |
| 276× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 47 |
| 1 | 212 | 45 |
| 2 | 2739 | 45 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) |
(fma.f64 b b (*.f64 a (*.f64 c -4))) |
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) |
(*.f64 a (*.f64 c -4)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (*.f64 c -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) (*.f64 a c))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -4) (*.f64 a c)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -4) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (*.f64 c -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 c -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 a c) 2) 16) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (*.f64 c -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 a c) 2) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -4) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 c -4))) 1)))))) |
| 1× | egg-herbie |
| 719× | times-frac_binary64 |
| 634× | associate-*r*_binary64 |
| 593× | associate-*l*_binary64 |
| 563× | fma-def_binary64 |
| 441× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 126 | 1936 |
| 1 | 386 | 1845 |
| 2 | 1350 | 1752 |
| 3 | 7712 | 1752 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -1 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 -1 (*.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))) 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))) 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 (/.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 (+.f64 (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2) (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))) (pow.f64 a 4)) 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 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 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 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 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 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))) |
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (/.f64 (*.f64 -2 (*.f64 c a)) b)) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
(fma.f64 -2 (*.f64 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 (*.f64 -2 (*.f64 c a)) b))) |
(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 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.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 (*.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 (*.f64 -2 (*.f64 c a)) b)))) |
(+.f64 (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) (*.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))) |
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 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 (*.f64 c a) b) (neg.f64 b)) |
(-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b) |
(-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b))) |
(fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))) (neg.f64 b)) |
(-.f64 (*.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b)))) 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) (-.f64 (fma.f64 2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))) b)) |
(-.f64 (fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4))) b) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (/.f64 (*.f64 -2 (*.f64 c a)) b)) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
(fma.f64 -2 (*.f64 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 (*.f64 -2 (*.f64 c a)) b))) |
(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 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.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 (*.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 (*.f64 -2 (*.f64 c a)) b)))) |
(+.f64 (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) (*.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))) |
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -4))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (/.f64 (*.f64 -2 (*.f64 c a)) b)) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
(fma.f64 -2 (*.f64 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 (*.f64 -2 (*.f64 c a)) b))) |
(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 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.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 (*.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 (*.f64 -2 (*.f64 c a)) b)))) |
(+.f64 (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) (*.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))) |
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -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))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -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))) b) |
(fma.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b) |
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -4) b) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (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))) 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)) b)) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) -1/2 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -4) b)) |
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 -1/2 (*.f64 b 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 -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))) 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)) 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 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -4) b))) |
(+.f64 b (-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 -1/2 (*.f64 b b)) (sqrt.f64 -4)) (*.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 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(*.f64 (/.f64 2 b) (*.f64 c 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 (*.f64 c a) b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))))) |
(*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)))) |
(*.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c 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 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 (*.f64 4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5)))) |
(fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))) |
(fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4))) |
(+.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 (*.f64 c a) b) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 (*.f64 4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5))))) |
(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 (pow.f64 c 3) (/.f64 (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 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4)))) |
(*.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 b 2 (/.f64 -2 (/.f64 b (*.f64 c a)))) |
(fma.f64 b 2 (*.f64 (/.f64 -2 b) (*.f64 c a))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (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 (*.f64 c a) b) (*.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 b 2 (*.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c 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)))) |
(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 (*.f64 c a) b) (*.f64 b 2)))) |
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 b 2 (/.f64 -2 (/.f64 b (*.f64 c a)))))) |
(fma.f64 -4 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 b 2 (*.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.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 2 b) (*.f64 c 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 (*.f64 c a) b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))))) |
(*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)))) |
(*.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c 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 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 (*.f64 4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5)))) |
(fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))) |
(fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2) (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))) (pow.f64 a 4)) 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 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) (pow.f64 b 3))) 2) (/.f64 (*.f64 16 (pow.f64 c 4)) (pow.f64 b 6))) (/.f64 b (pow.f64 a 4))) (fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 (*.f64 4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5))))) |
(fma.f64 1/2 (/.f64 (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))) (/.f64 b (pow.f64 a 4))) (fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))) |
(fma.f64 1/2 (*.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) (/.f64 (pow.f64 c 4) b)) (fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4)))) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(*.f64 (/.f64 2 b) (*.f64 c 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 (*.f64 c a) b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))))) |
(*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)))) |
(*.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c 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 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 (*.f64 4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5)))) |
(fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))) |
(fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 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) (pow.f64 b 3))) 2) (/.f64 (*.f64 16 (pow.f64 c 4)) (pow.f64 b 6))) (/.f64 b (pow.f64 a 4))) (fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 (*.f64 4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5))))) |
(fma.f64 1/2 (/.f64 (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))) (/.f64 b (pow.f64 a 4))) (fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))) |
(fma.f64 1/2 (*.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) (/.f64 (pow.f64 c 4) b)) (fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) (*.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 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) |
| ✓ | 0.6b | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) |
| ✓ | 0.8b | (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))) |
| ✓ | 23.8b | (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 | |
|---|---|---|---|---|
| 3.0ms | c | @ | inf | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) |
| 2.0ms | a | @ | inf | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) |
| 2.0ms | c | @ | 0 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) |
| 2.0ms | b | @ | 0 | (/.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× | batch-egg-rewrite |
| 817× | log-prod_binary64 |
| 729× | fma-def_binary64 |
| 373× | fma-neg_binary64 |
| 277× | expm1-udef_binary64 |
| 277× | log1p-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 74 |
| 1 | 343 | 62 |
| 2 | 4920 | 59 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) |
(-.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 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) |
| Outputs |
|---|
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egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 a a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 3) (pow.f64 (+.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2))) 1)))))) |
| 1× | egg-herbie |
| 978× | times-frac_binary64 |
| 978× | fma-def_binary64 |
| 643× | associate-/l*_binary64 |
| 575× | associate-/r*_binary64 |
| 421× | associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 184 | 2477 |
| 1 | 582 | 2367 |
| 2 | 2117 | 2202 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -1 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -2 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))))))) |
(*.f64 -1 (/.f64 c b)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
(*.f64 -1 (/.f64 c b)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(*.f64 -1 (/.f64 c b)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (*.f64 a b))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))) |
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
(fma.f64 -2 (/.f64 c (/.f64 b a)) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))) |
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c c))) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))) |
(+.f64 b (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))))) |
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c c))) (*.f64 (/.f64 -4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) |
(*.f64 -1 b) |
(neg.f64 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b)) |
(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b)) |
(-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b) |
(-.f64 (*.f64 (/.f64 (*.f64 2 c) b) a) b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))) |
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b))) |
(-.f64 (*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)))) b) |
(-.f64 (*.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c c)))) b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))) |
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b)))) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (neg.f64 b)))) |
(fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (-.f64 (*.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c c)))) b)) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
(fma.f64 -2 (/.f64 c (/.f64 b a)) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))) |
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c c))) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))) |
(+.f64 b (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))))) |
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c c))) (*.f64 (/.f64 -4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
(fma.f64 -2 (/.f64 c (/.f64 b a)) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))) |
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c c))) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))) |
(+.f64 b (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))))) |
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c c))) (*.f64 (/.f64 -4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 -4 c) a)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 -4 c) a)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 -4 c) a)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 -4 c) a)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 -4 c) a)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 -4 c) a)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 -4 c) a)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 -4 c) a)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 -4 c) a)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 -4 c) a)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 -4 c) a)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 -4 c) a)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 -4 c) a)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 -4 c) a)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 -4 c) a)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 -4 c) a)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 -4 c) a)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 -4 c) a)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 -4 c) a)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 -4 c) a)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 -4 c) a)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 -4 c) a)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 -4 c) a)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 -4 c) a)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 -4 c) a) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 -4 c) a)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 -4 c) a)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 -4 c) a)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))) |
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(*.f64 -2 b) |
(*.f64 b -2) |
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(*.f64 -2 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 c (/.f64 b a)))) |
(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)))) |
(*.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c c)))) |
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(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c c))) (*.f64 (/.f64 -4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) |
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(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 a 4) b) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6))))) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))))) |
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(*.f64 -2 (/.f64 (*.f64 c a) b)) |
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(/.f64 -2 (/.f64 b (*.f64 c a))) |
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(*.f64 -2 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 c (/.f64 b a)))) |
(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)))) |
(*.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c c)))) |
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(fma.f64 -1/2 (*.f64 (pow.f64 c 4) (/.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) b)) (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c c))) (*.f64 (/.f64 -4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) |
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(*.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)) |
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(fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2) (*.f64 -1/2 (/.f64 b a))) |
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(fma.f64 1/4 (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 b a)))) |
(fma.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (*.f64 1/4 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2) (*.f64 -1/2 (/.f64 b a)))) |
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(fma.f64 1/4 (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (*.f64 (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4))) -1/16))))) |
(fma.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (*.f64 1/4 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 (sqrt.f64 -4) (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (*.f64 (/.f64 (pow.f64 b 4) (/.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))))) 1/64)))) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
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(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b))) |
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))) |
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
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(-.f64 (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 c) b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))) |
(-.f64 (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 -2 (*.f64 c c)) (*.f64 a a)) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7))) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))) |
(-.f64 (fma.f64 -1/4 (/.f64 (fma.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 4 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7))) (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 c) b))) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))) |
(fma.f64 -1/4 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (*.f64 a (pow.f64 b 7))) (-.f64 (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))) |
(*.f64 -1 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))) |
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))) |
(+.f64 (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))) (-.f64 (/.f64 c b) (/.f64 b a))) |
(-.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)) (/.f64 b a)) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a))))) |
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 b) a)))) |
(+.f64 (/.f64 c b) (+.f64 (fma.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (neg.f64 (/.f64 b a))) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))) |
(-.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 c b))) (/.f64 b a)) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b))) |
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))) |
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))) |
(-.f64 (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 c) b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))) |
(-.f64 (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (fma.f64 -1/4 (/.f64 (pow.f64 a 3) (/.f64 b (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (*.f64 -2 (/.f64 (*.f64 c c) (pow.f64 b 3))) 2)))) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))) |
(-.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (*.f64 -1/4 (*.f64 (pow.f64 a 3) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))))) b)) (/.f64 c b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))) |
(-.f64 (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (*.f64 (/.f64 -1/4 b) (*.f64 (pow.f64 a 3) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 20)))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b))) |
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))) |
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))) |
(-.f64 (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 c) b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))) |
(-.f64 (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (*.f64 a b))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 4) (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (*.f64 -2 (/.f64 (*.f64 a a) (pow.f64 b 3))) 2))) (*.f64 a b)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))) |
(-.f64 (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 a 4) (pow.f64 b 6)))) b)) (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 c) b))) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))) |
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) b)) (-.f64 (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))) |
Compiled 18173 to 10744 computations (40.9% saved)
25 alts after pruning (24 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 625 | 24 | 649 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 626 | 25 | 651 |
| Status | Error | Program |
|---|---|---|
| 45.5b | (/.f64 (pow.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) 2) (*.f64 2 a)) | |
| 40.3b | (/.f64 (neg.f64 c) b) | |
| 46.1b | (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) | |
| 43.8b | (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a)) | |
| 33.4b | (*.f64 (-.f64 b (pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a)) | |
| 53.9b | (*.f64 (-.f64 b b) (/.f64 -1/2 a)) | |
| ▶ | 32.3b | (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) |
| 34.0b | (*.f64 (-.f64 b (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 3/2)) (/.f64 -1/2 a)) | |
| ▶ | 45.0b | (*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a)) |
| ✓ | 32.0b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) |
| 57.2b | (+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2)))))) | |
| 45.0b | (*.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a)) | |
| 54.0b | (/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (*.f64 2 a)) | |
| 43.9b | (*.f64 (/.f64 (-.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)))))) (/.f64 -1/2 a)) | |
| 45.0b | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| 42.6b | (/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2))) (*.f64 2 a)) | |
| 43.8b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) | |
| 45.4b | (pow.f64 (/.f64 (+.f64 a a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) -1) | |
| ▶ | 33.1b | (/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2)) (*.f64 2 a)) |
| 44.8b | (*.f64 (*.f64 b 2) (/.f64 -1/2 a)) | |
| 42.7b | (*.f64 (-.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))) (/.f64 -1/2 a)) | |
| 45.1b | (/.f64 (+.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 (*.f64 2 c) b) a) b)) (*.f64 2 a)) | |
| 51.2b | (*.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (sqrt.f64 (+.f64 a a)))) | |
| ▶ | 44.7b | (neg.f64 (/.f64 b a)) |
| ▶ | 45.4b | (*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) |
Compiled 880 to 612 computations (30.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 a (*.f64 c -4)) | |
| ✓ | 0.6b | (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) |
| ✓ | 0.8b | (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))) |
| ✓ | 23.8b | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))) |
Compiled 69 to 37 computations (46.4% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | c | @ | 0 | (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) |
| 1.0ms | b | @ | 0 | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))) |
| 0.0ms | a | @ | 0 | (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) |
| 0.0ms | a | @ | inf | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))) |
| 0.0ms | c | @ | -inf | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))) |
| 1× | batch-egg-rewrite |
| 604× | fma-def_binary64 |
| 586× | log-prod_binary64 |
| 420× | pow-prod-down_binary64 |
| 317× | pow2_binary64 |
| 252× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 40 |
| 1 | 243 | 38 |
| 2 | 3415 | 38 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))) |
(-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) |
| Outputs |
|---|
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(cbrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 c -4)))) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (+.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) 2) (cbrt.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 b) b)) (sqrt.f64 (cbrt.f64 (*.f64 b b))) (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 b) b)) (sqrt.f64 (cbrt.f64 (*.f64 b b))) (*.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (sqrt.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/6) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 b) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)) (-.f64 (sqrt.f64 b) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)) (fma.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 1 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 b) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)) (-.f64 (sqrt.f64 b) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)) (fma.f64 (neg.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/6)) (cbrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 b) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)) (-.f64 (sqrt.f64 b) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)) (+.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) |
| 1× | egg-herbie |
| 719× | times-frac_binary64 |
| 634× | associate-*r*_binary64 |
| 593× | associate-*l*_binary64 |
| 563× | fma-def_binary64 |
| 441× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 126 | 1768 |
| 1 | 386 | 1677 |
| 2 | 1350 | 1584 |
| 3 | 7712 | 1584 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -1 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 -1 (*.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))) 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))) 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 (/.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 (+.f64 (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2) (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))) (pow.f64 a 4)) 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 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 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 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 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)))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))) |
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (/.f64 (*.f64 -2 (*.f64 c a)) b)) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
(fma.f64 -2 (*.f64 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 (*.f64 -2 (*.f64 c a)) b))) |
(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 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.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 (*.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 (*.f64 -2 (*.f64 c a)) b)))) |
(+.f64 (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) (*.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))) |
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 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 (*.f64 c a) b) (neg.f64 b)) |
(-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b) |
(-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b))) |
(fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))) (neg.f64 b)) |
(-.f64 (*.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b)))) 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) (-.f64 (fma.f64 2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))) b)) |
(-.f64 (fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4))) b) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (/.f64 (*.f64 -2 (*.f64 c a)) b)) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
(fma.f64 -2 (*.f64 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 (*.f64 -2 (*.f64 c a)) b))) |
(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 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.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 (*.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 (*.f64 -2 (*.f64 c a)) b)))) |
(+.f64 (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) (*.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))) |
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -4))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 b (/.f64 (*.f64 -2 (*.f64 c a)) b)) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
(fma.f64 -2 (*.f64 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 (*.f64 -2 (*.f64 c a)) b))) |
(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 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.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 (*.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 (*.f64 -2 (*.f64 c a)) b)))) |
(+.f64 (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) (*.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))) |
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -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))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)) |
(fma.f64 (*.f64 c a) -4 (*.f64 b b)) |
(fma.f64 c (*.f64 a -4) (*.f64 b b)) |
(*.f64 -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))) b) |
(fma.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b) |
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -4) b) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (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))) 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)) b)) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) -1/2 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -4) b)) |
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 -1/2 (*.f64 b 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 -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))) 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)) 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 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -4) b))) |
(+.f64 b (-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 -1/2 (*.f64 b b)) (sqrt.f64 -4)) (*.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 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(*.f64 (/.f64 2 b) (*.f64 c 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 (*.f64 c a) b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))))) |
(*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)))) |
(*.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c 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 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 (*.f64 4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5)))) |
(fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))) |
(fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4))) |
(+.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 (*.f64 c a) b) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 (*.f64 4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5))))) |
(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 (pow.f64 c 3) (/.f64 (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 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4)))) |
(*.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 b 2 (/.f64 -2 (/.f64 b (*.f64 c a)))) |
(fma.f64 b 2 (*.f64 (/.f64 -2 b) (*.f64 c a))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (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 (*.f64 c a) b) (*.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 b 2 (*.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c 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)))) |
(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 (*.f64 c a) b) (*.f64 b 2)))) |
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 b 2 (/.f64 -2 (/.f64 b (*.f64 c a)))))) |
(fma.f64 -4 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 b 2 (*.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.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 2 b) (*.f64 c 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 (*.f64 c a) b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))))) |
(*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)))) |
(*.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c 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 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 (*.f64 4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5)))) |
(fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))) |
(fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2) (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))) (pow.f64 a 4)) 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 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) (pow.f64 b 3))) 2) (/.f64 (*.f64 16 (pow.f64 c 4)) (pow.f64 b 6))) (/.f64 b (pow.f64 a 4))) (fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 (*.f64 4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5))))) |
(fma.f64 1/2 (/.f64 (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))) (/.f64 b (pow.f64 a 4))) (fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))) |
(fma.f64 1/2 (*.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) (/.f64 (pow.f64 c 4) b)) (fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4)))) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(*.f64 (/.f64 2 b) (*.f64 c 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 (*.f64 c a) b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))))) |
(*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)))) |
(*.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c 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 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 (*.f64 4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5)))) |
(fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))) |
(fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 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) (pow.f64 b 3))) 2) (/.f64 (*.f64 16 (pow.f64 c 4)) (pow.f64 b 6))) (/.f64 b (pow.f64 a 4))) (fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 (*.f64 4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5))))) |
(fma.f64 1/2 (/.f64 (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))) (/.f64 b (pow.f64 a 4))) (fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))) |
(fma.f64 1/2 (*.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) (/.f64 (pow.f64 c 4) b)) (fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4)))) |
Compiled 12 to 5 computations (58.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 4.3b | (*.f64 (/.f64 2 b) (*.f64 c a)) |
| ✓ | 9.3b | (*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a)) |
Compiled 35 to 19 computations (45.7% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | a | @ | 0 | (*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a)) |
| 1.0ms | b | @ | inf | (*.f64 (/.f64 2 b) (*.f64 c a)) |
| 1.0ms | c | @ | inf | (*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a)) |
| 1.0ms | c | @ | 0 | (*.f64 (/.f64 2 b) (*.f64 c a)) |
| 1.0ms | b | @ | 0 | (*.f64 (/.f64 2 b) (*.f64 c a)) |
| 1× | batch-egg-rewrite |
| 627× | log-prod_binary64 |
| 435× | pow-prod-down_binary64 |
| 308× | pow2_binary64 |
| 267× | pow-unpow_binary64 |
| 220× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 26 |
| 1 | 241 | 26 |
| 2 | 3093 | 26 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a)) |
(*.f64 (/.f64 2 b) (*.f64 c a)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 c a)) (*.f64 (/.f64 2 b) (/.f64 -1/2 a)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 c a)) (*.f64 (/.f64 2 b) (/.f64 -1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 c a)) (*.f64 (/.f64 2 b) (/.f64 -1/2 a))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 c a)) (*.f64 (/.f64 2 b) (/.f64 -1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (*.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 c a)) (*.f64 (*.f64 a -2) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c a) (/.f64 -1/2 a)) (*.f64 b 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 c a)) -1/2) (*.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 c a)) 1) (*.f64 b (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 c a)) 1/2) (*.f64 b (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (*.f64 2 (*.f64 c a))) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (*.f64 2 (*.f64 c a))) (*.f64 (neg.f64 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2)) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2)) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 c a) (/.f64 -1/2 a))) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (*.f64 (*.f64 c a) (/.f64 -1/2 a))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 c a)) (/.f64 -1/2 a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (*.f64 (/.f64 2 b) (*.f64 c a))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) 1/2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1/2 a) (*.f64 2 (*.f64 c a))) b)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 c a)) (*.f64 (/.f64 2 b) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a)))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 2 b) (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c) (*.f64 a (/.f64 2 b)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c) (*.f64 a (/.f64 2 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c) (*.f64 a (/.f64 2 b))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c) (*.f64 a (/.f64 2 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 2 b) (*.f64 c a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 b (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c a) (*.f64 b 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 2 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 c a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 c a))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 c a)) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 c a)) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 c a)) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (*.f64 c a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c a) -2) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 2 b) (*.f64 c a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 2 b) (*.f64 c a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (*.f64 2 (*.f64 c a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c) (*.f64 a (/.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 2 b) (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 2 b) (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 2 b) (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 2 b) (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 b) (*.f64 c a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 2 b) (*.f64 c a)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 2 b) (*.f64 c a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 2 b) (*.f64 c a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 b) (*.f64 c a))) 1) 1)))))) |
| 1× | egg-herbie |
| 100× | fma-def_binary64 |
| 24× | fma-neg_binary64 |
| 19× | *-commutative_binary64 |
| 17× | associate-/l*_binary64 |
| 16× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 576 |
| 1 | 21 | 576 |
| 2 | 41 | 576 |
| 3 | 74 | 576 |
| 4 | 110 | 576 |
| 5 | 129 | 576 |
| 6 | 137 | 576 |
| 7 | 158 | 576 |
| 8 | 244 | 576 |
| 9 | 344 | 576 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 -1 (/.f64 c b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
| Outputs |
|---|
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 (*.f64 2 (*.f64 c a)) b) |
(/.f64 2 (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 a (*.f64 c 2)) b) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (*.f64 a c) -4) |
| ✓ | 0.2b | (*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) |
| ✓ | 0.7b | (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) |
| ✓ | 12.0b | (sqrt.f64 (*.f64 (*.f64 a c) -4)) |
Compiled 57 to 30 computations (47.4% saved)
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | c | @ | -inf | (*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) |
| 6.0ms | a | @ | inf | (*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) |
| 4.0ms | a | @ | inf | (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) |
| 4.0ms | a | @ | -inf | (*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) |
| 3.0ms | a | @ | 0 | (*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) |
| 1× | batch-egg-rewrite |
| 948× | prod-diff_binary64 |
| 707× | log-prod_binary64 |
| 289× | fma-def_binary64 |
| 251× | expm1-udef_binary64 |
| 251× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 52 |
| 1 | 288 | 52 |
| 2 | 3874 | 52 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (*.f64 a c) -4)) |
(+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) |
(*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) |
(*.f64 (*.f64 a c) -4) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (*.f64 c -4))) (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))) (cbrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (pow.f64 (*.f64 c -4) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 1/4) (pow.f64 (*.f64 a (*.f64 c -4)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 16 (pow.f64 (*.f64 a c) 2)))) (sqrt.f64 (cbrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 16 (pow.f64 (*.f64 a c) 2))) 1/2) (pow.f64 (cbrt.f64 (*.f64 a (*.f64 c -4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 c -4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 c -4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b b) (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) (/.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) 2) (cbrt.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) (sqrt.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/2)) (/.f64 1 (-.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 c -4)))) (*.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 c -4)))) (/.f64 1 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 c -4)))) (*.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/2)) (-.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 c -4)))) (*.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/2)) (+.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) (-.f64 (*.f64 b b) (*.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 c -4)))) (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/2))) (neg.f64 (-.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 c -4)))) (*.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 c -4))))) (neg.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) (*.f64 b b)) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 b) (+.f64 1 (expm1.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (+.f64 1 (expm1.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b 1 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) 1 b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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b))) (*.f64 b (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) (sqrt.f64 (/.f64 1/2 a))) (*.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) (sqrt.f64 (/.f64 1/2 a))) (*.f64 b (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b 1/2) (/.f64 1 a) (*.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) 1/2) (/.f64 1 a) (*.f64 b (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (pow.f64 (cbrt.f64 (/.f64 1/2 a)) 2)) (cbrt.f64 (/.f64 1/2 a)) (*.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (sqrt.f64 (/.f64 1/2 a))) (sqrt.f64 (/.f64 1/2 a)) (*.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/2 a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (*.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/2 a) (sqrt.f64 b)) (sqrt.f64 b) (*.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/2 a) (cbrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (cbrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) (*.f64 b (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/2 a) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) (*.f64 b (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (pow.f64 (cbrt.f64 (/.f64 1/2 a)) 2)) (cbrt.f64 (/.f64 1/2 a)) (*.f64 b (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (sqrt.f64 (/.f64 1/2 a))) (sqrt.f64 (/.f64 1/2 a)) (*.f64 b (/.f64 1/2 a))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (*.f64 c -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) (*.f64 a c))) (cbrt.f64 (pow.f64 (exp.f64 -4) (*.f64 a c))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -4) (*.f64 a c)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -4) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (*.f64 c -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 c -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 16 (pow.f64 (*.f64 a c) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (*.f64 c -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16 (pow.f64 (*.f64 a c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -4) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 c -4))) 1)))))) |
| 1× | egg-herbie |
| 917× | times-frac_binary64 |
| 680× | associate-/l*_binary64 |
| 557× | unswap-sqr_binary64 |
| 491× | fma-def_binary64 |
| 488× | associate-/r*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 144 | 1271 |
| 1 | 420 | 1067 |
| 2 | 1541 | 1022 |
| 3 | 6529 | 998 |
| 4 | 7649 | 994 |
| 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 b a) |
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a)))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 1/2 (/.f64 b a))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))) |
(+.f64 (/.f64 b a) (+.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 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 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)))))) |
(*.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 -1/4 (/.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 -1/4 (/.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 (*.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 1/4 (/.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 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))) |
(/.f64 b a) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 -4 (*.f64 c a)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) |
(+.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) |
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) 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 1/2 (*.f64 (/.f64 b (sqrt.f64 -4)) b)) b)) |
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (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 (*.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 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) 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 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 b 2)) |
(fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (*.f64 b 2)) |
(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 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 (/.f64 c b) (*.f64 a -4)) (*.f64 b 2)) (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3))) |
(fma.f64 b 2 (fma.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b)) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 3) -2)))) |
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(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.6b | (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2) |
| ✓ | 1.0b | (fma.f64 b b (*.f64 (*.f64 a c) -4)) |
| ✓ | 11.1b | (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2)) |
| ✓ | 24.5b | (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) |
Compiled 86 to 46 computations (46.5% saved)
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | b | @ | 0 | (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2) |
| 4.0ms | a | @ | inf | (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2)) |
| 3.0ms | b | @ | inf | (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) |
| 3.0ms | c | @ | 0 | (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2)) |
| 3.0ms | a | @ | 0 | (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2)) |
| 1× | batch-egg-rewrite |
| 599× | log-prod_binary64 |
| 382× | pow-prod-down_binary64 |
| 336× | pow2_binary64 |
| 277× | fma-def_binary64 |
| 233× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 58 |
| 1 | 307 | 52 |
| 2 | 3762 | 52 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) |
(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2)) |
(fma.f64 b b (*.f64 (*.f64 a c) -4)) |
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/6) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/12) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/8) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/4) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/4 (log.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (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 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) 0) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a 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(#(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 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.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 /.f64 (-.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 b) (+.f64 1 (expm1.f64 (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 a (*.f64 c -4)) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 a (*.f64 c -4) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 b b) 1) (*.f64 a (*.f64 c -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 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(*.f64 b b))) 1)))))) |
((#(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 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) 2)) (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 (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 (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 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/6) (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/8) (sqrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/4)) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/8))))) (#(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 (*.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)) 1/6)) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) |
| 1× | egg-herbie |
| 717× | fma-def_binary64 |
| 507× | associate-*r*_binary64 |
| 376× | associate-*l*_binary64 |
| 353× | associate-+r+_binary64 |
| 335× | times-frac_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 550 | 8682 |
| 1 | 1989 | 7666 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (*.f64 -4 (*.f64 c a)) 1/4) |
(+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4)) |
(+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (*.f64 -3/512 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4))) |
(+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (*.f64 -3/512 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (+.f64 (*.f64 -7/8192 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6))) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4)))) |
(sqrt.f64 b) |
(+.f64 (sqrt.f64 b) (*.f64 -1 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (*.f64 -1 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 2 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 -16/3 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (*.f64 -1 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 b)) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (*.f64 (*.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 2 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 -16/3 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (sqrt.f64 (/.f64 1 (pow.f64 b 11)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b))))) |
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b)) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 c a) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 c a) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (*.f64 (pow.f64 1 1/4) (*.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 a 2)) (sqrt.f64 b))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 c a) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (*.f64 (pow.f64 1 1/4) (*.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (*.f64 -16/3 (/.f64 (pow.f64 c 3) (pow.f64 b 6)))))) (sqrt.f64 b))) (+.f64 (*.f64 (pow.f64 1 1/4) (*.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 a 2)) (sqrt.f64 b))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b))))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (pow.f64 b 2)) (*.f64 c a))) (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2)) (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (+.f64 (*.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (*.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (*.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))) (pow.f64 a 3))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))) (*.f64 c a)))) |
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(*.f64 (pow.f64 1 1/4) (sqrt.f64 b)) |
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(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
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(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (*.f64 -1/16 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a)))) |
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(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)) |
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(*.f64 -1 b) |
(+.f64 b (*.f64 -1 b)) |
(+.f64 b (+.f64 (*.f64 -1 b) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
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(*.f64 -1 b) |
(*.f64 2 (*.f64 -1 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (*.f64 -1 b))) |
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(*.f64 -2 (/.f64 (*.f64 c a) b)) |
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(+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) b))) (pow.f64 a 2)) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (*.f64 -16/3 (/.f64 (pow.f64 c 3) (pow.f64 b 6))))) b)) (*.f64 -2 (/.f64 (*.f64 c (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))))) b))) (pow.f64 a 3)) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
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(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b) |
(-.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (pow.f64 b 2)) (*.f64 c a)))) b) |
(-.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2))) (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2))))))) b) |
(-.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (+.f64 (*.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (*.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (*.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))) (pow.f64 a 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (*.f64 (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 b 2))) (*.f64 c (pow.f64 a 3)))) (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2))))))))) b) |
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b) |
(-.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (*.f64 c a))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) b) |
(-.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (*.f64 c a))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (pow.f64 a 2))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))) b) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (*.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) c)) (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (*.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (*.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (*.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))))) (pow.f64 a 3))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (*.f64 c a))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (pow.f64 a 2))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))))) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))) b)) (/.f64 (pow.f64 a 2) (pow.f64 b 3)))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))) b)) (/.f64 (pow.f64 a 2) (pow.f64 b 3)))) (+.f64 (*.f64 (pow.f64 c 3) (+.f64 (*.f64 -2 (/.f64 (*.f64 a (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) b)) (*.f64 2 (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (*.f64 -16/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6))))) b)))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 2 (*.f64 b (+.f64 (*.f64 2 (/.f64 (pow.f64 a 4) (pow.f64 b 8))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 8))) (+.f64 (*.f64 16/3 (/.f64 (pow.f64 a 4) (pow.f64 b 8))) (+.f64 (*.f64 -16 (/.f64 (pow.f64 a 4) (pow.f64 b 8))) (*.f64 1/24 (/.f64 (pow.f64 a 4) (pow.f64 b 8))))))))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (*.f64 -16/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6))))) a) b)) (*.f64 (pow.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))) 2) b)))) (+.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))) b)) (/.f64 (pow.f64 a 2) (pow.f64 b 3)))) (+.f64 (*.f64 (pow.f64 c 3) (+.f64 (*.f64 -2 (/.f64 (*.f64 a (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) b)) (*.f64 2 (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (*.f64 -16/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6))))) b)))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b) |
(-.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a)))) b) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a)))))) b) |
(-.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2))) (*.f64 (pow.f64 c 3) a))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) (pow.f64 c 3))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a)))))))) b) |
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) b) |
(-.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) b) |
(-.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))) b) |
(-.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.f64 (*.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))))) (*.f64 1/8 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2))) a))) (pow.f64 c 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))))) b) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 (pow.f64 b 4) (+.f64 (*.f64 1/256 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -4))) (*.f64 -3/256 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -4))))))) |
(+.f64 (*.f64 (+.f64 (*.f64 -7/4096 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (sqrt.f64 -4))) (*.f64 3/4096 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (sqrt.f64 -4)))) (pow.f64 b 6)) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 (pow.f64 b 4) (+.f64 (*.f64 1/256 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -4))) (*.f64 -3/256 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -4)))))))) |
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 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))) |
(+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 -16/3 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) a)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 -4 (/.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 -1 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 c (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) a)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 -16/3 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b 5))) (+.f64 (*.f64 4 (/.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 (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) b))) (pow.f64 a 2)) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) b))) (pow.f64 a 2)) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (*.f64 -16/3 (/.f64 (pow.f64 c 3) (pow.f64 b 6))))) b)) (*.f64 -2 (/.f64 (*.f64 c (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))))) b))) (pow.f64 a 3)) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) |
(+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (pow.f64 b 2)) (*.f64 c a)))) |
(+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2))) (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2))))))) |
(+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (+.f64 (*.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (*.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (*.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))) (pow.f64 a 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (*.f64 (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 b 2))) (*.f64 c (pow.f64 a 3)))) (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2))))))))) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (*.f64 c a))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (*.f64 c a))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (pow.f64 a 2))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (*.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) c)) (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (*.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (*.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (*.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))))) (pow.f64 a 3))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (*.f64 c a))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (pow.f64 a 2))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))) b)) (/.f64 (pow.f64 a 2) (pow.f64 b 3)))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 (pow.f64 c 3) (+.f64 (*.f64 -2 (/.f64 (*.f64 a (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) b)) (*.f64 2 (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (*.f64 -16/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6))))) b)))) (+.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))) b)) (/.f64 (pow.f64 a 2) (pow.f64 b 3)))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) |
(+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a)))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a)))))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2))) (*.f64 (pow.f64 c 3) a))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) (pow.f64 c 3))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a)))))))) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.f64 (*.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))))) (*.f64 1/8 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2))) a))) (pow.f64 c 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))))) |
| Outputs |
|---|
(pow.f64 (*.f64 -4 (*.f64 c a)) 1/4) |
(pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) |
(+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4)) |
(fma.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (*.f64 b b)) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4)) |
(fma.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)) |
(+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (*.f64 -3/512 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4))) |
(fma.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (*.f64 b b)) (fma.f64 -3/512 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4)) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4))) |
(fma.f64 (*.f64 -1/16 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4)) (*.f64 b b) (fma.f64 (*.f64 -3/512 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 7)) (pow.f64 a 7)) 1/4)) (pow.f64 b 4) (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4))) |
(+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (*.f64 -3/512 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (+.f64 (*.f64 -7/8192 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6))) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4)))) |
(fma.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (*.f64 b b)) (fma.f64 -3/512 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4)) (fma.f64 -7/8192 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6)) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4)))) |
(fma.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (*.f64 b b)) (fma.f64 -3/512 (*.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b 4)) (fma.f64 -7/8192 (*.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 11)) (pow.f64 a 11)) 1/4) (pow.f64 b 6)) (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)))) |
(sqrt.f64 b) |
(+.f64 (sqrt.f64 b) (*.f64 -1 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) |
(+.f64 (sqrt.f64 b) (neg.f64 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) |
(-.f64 (sqrt.f64 b) (*.f64 c (*.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (*.f64 -1 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -3/2) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (+.f64 (sqrt.f64 b) (neg.f64 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))) |
(-.f64 (fma.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) -3/2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (sqrt.f64 b)) (*.f64 c (*.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 2 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 -16/3 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (*.f64 -1 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (fma.f64 -1/6 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -10/3)) (fma.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -3/2) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (+.f64 (sqrt.f64 b) (neg.f64 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/2) (-.f64 (fma.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) -3/2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (sqrt.f64 b)) (*.f64 c (*.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 b)) |
(*.f64 (sqrt.f64 b) (sqrt.f64 -1)) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b))) |
(fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (*.f64 c (*.f64 a (sqrt.f64 -1)))) (*.f64 (sqrt.f64 b) (sqrt.f64 -1))) |
(fma.f64 (neg.f64 (*.f64 c (*.f64 a (sqrt.f64 -1)))) (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (*.f64 (sqrt.f64 b) (sqrt.f64 -1))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))) |
(fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (*.f64 c (*.f64 a (sqrt.f64 -1)))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -3/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (*.f64 (sqrt.f64 b) (sqrt.f64 -1)))) |
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(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
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(*.f64 -1 b) |
(neg.f64 b) |
(+.f64 b (*.f64 -1 b)) |
(*.f64 0 b) |
0 |
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(*.f64 -1 b) |
(neg.f64 b) |
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(*.f64 -2 b) |
(*.f64 b -2) |
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(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 -2 b)) |
(*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) |
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(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 -2 c) a) b) |
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(fma.f64 -4 (*.f64 c a) (*.f64 b b)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b)) |
(fma.f64 -4 (*.f64 c a) (*.f64 b b)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (*.f64 b b) (sqrt.f64 -4))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 -1/8 (*.f64 (sqrt.f64 -4) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 1 (*.f64 c a))))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 (pow.f64 b 4) (+.f64 (*.f64 1/256 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -4))) (*.f64 -3/256 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (*.f64 b b) (sqrt.f64 -4))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (pow.f64 b 4) (*.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) -1/128)))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 -4) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 1 (*.f64 c a))))) (fma.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (sqrt.f64 -4) -1/128)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))) |
(+.f64 (*.f64 (+.f64 (*.f64 -7/4096 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (sqrt.f64 -4))) (*.f64 3/4096 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (sqrt.f64 -4)))) (pow.f64 b 6)) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 (pow.f64 b 4) (+.f64 (*.f64 1/256 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -4))) (*.f64 -3/256 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -4)))))))) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5))))) -1/1024) (pow.f64 b 6) (fma.f64 -1/8 (*.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 (pow.f64 b 4) (*.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) -1/128))))) |
(fma.f64 (pow.f64 b 6) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 5))) (*.f64 (sqrt.f64 -4) -1/1024)) (fma.f64 -1/8 (*.f64 (sqrt.f64 -4) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 1 (*.f64 c a))))) (fma.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (sqrt.f64 -4) -1/128)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -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) |
(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))) |
(fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (*.f64 -2 (/.f64 c (/.f64 b a)))))) |
(+.f64 (fma.f64 2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) b) (fma.f64 -4 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (/.f64 (*.f64 (*.f64 -2 c) a) b))) |
(+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 -16/3 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) a)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))))) |
(fma.f64 2 (/.f64 (fma.f64 2 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -11/2)) (pow.f64 b 5)) (fma.f64 -2 (/.f64 (*.f64 c (*.f64 a (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -3/2))) (pow.f64 b 5)) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (*.f64 -2 (/.f64 c (/.f64 b a)))))))) |
(fma.f64 2 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/2) (pow.f64 b 5)) (fma.f64 -2 (/.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) -3/2))) (/.f64 (pow.f64 b 5) c)) (+.f64 (fma.f64 2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) b) (fma.f64 -4 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (/.f64 (*.f64 (*.f64 -2 c) a) b))))) |
(*.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 2 (*.f64 (/.f64 c b) a) (neg.f64 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -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))) (fma.f64 4 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b)))) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (-.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a))) b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 c (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) a)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 -16/3 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b 5))) (+.f64 (*.f64 4 (/.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 (*.f64 a (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -3/2))) (pow.f64 b 5)) (fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -2 (/.f64 (fma.f64 2 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -11/2)) (pow.f64 b 5)) (fma.f64 4 (/.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 2 (/.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) -3/2))) (/.f64 (pow.f64 b 5) c)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/2) (pow.f64 b 5))) (-.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a))) 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) |
(+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) b))) (pow.f64 a 2)) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 (+.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 2 (*.f64 b (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 4)) -3/2)))) (*.f64 a a) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))) |
(fma.f64 (*.f64 a a) (fma.f64 2 (*.f64 b (/.f64 (*.f64 (*.f64 c c) -3/2) (pow.f64 b 4))) (/.f64 (*.f64 c c) (pow.f64 b 3))) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) b))) (pow.f64 a 2)) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (*.f64 -16/3 (/.f64 (pow.f64 c 3) (pow.f64 b 6))))) b)) (*.f64 -2 (/.f64 (*.f64 c (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))))) b))) (pow.f64 a 3)) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 (+.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 2 (*.f64 b (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 4)) -3/2)))) (*.f64 a a) (fma.f64 (fma.f64 2 (*.f64 b (fma.f64 -1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 6)) -10/3))) (*.f64 -2 (/.f64 c (/.f64 b (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 4)) -3/2))))) (pow.f64 a 3) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))) |
(fma.f64 (*.f64 a a) (fma.f64 2 (*.f64 b (/.f64 (*.f64 (*.f64 c c) -3/2) (pow.f64 b 4))) (/.f64 (*.f64 c c) (pow.f64 b 3))) (fma.f64 (pow.f64 a 3) (fma.f64 2 (*.f64 b (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 6)) -7/2)) (*.f64 -2 (*.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) -3/2) (pow.f64 b 4))))) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))) |
(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) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (*.f64 -4 c)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) |
(+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (pow.f64 b 2)) (*.f64 c a)))) |
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (*.f64 -4 c)))) 2) (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (*.f64 -4 c)))) 2) c) (/.f64 (*.f64 b b) a)))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 b b) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) c)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)) |
(+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2))) (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2))))))) |
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (*.f64 -4 c)))) 2) (fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (*.f64 -4 c)))) 2) c) (/.f64 (*.f64 b b) a)) (fma.f64 2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (*.f64 -4 c)))) 2) (/.f64 (*.f64 a a) (*.f64 (/.f64 (pow.f64 b 4) (*.f64 c c)) -3/512))) (*.f64 1/256 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (*.f64 -4 c)))) 2) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 4))))))) |
(+.f64 (fma.f64 2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) (/.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 4) (*.f64 a a))) -3/512)) (*.f64 1/256 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) (*.f64 (*.f64 c a) (*.f64 c a))) (pow.f64 b 4)))) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 b b) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) c)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2))) |
(+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (+.f64 (*.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (*.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (*.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))) (pow.f64 a 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (*.f64 (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 b 2))) (*.f64 c (pow.f64 a 3)))) (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2))))))))) |
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b |
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(+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a)))))) |
(fma.f64 2 (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (/.f64 (*.f64 c c) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2))) (fma.f64 1/256 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (*.f64 c c)) (/.f64 (pow.f64 b 4) (*.f64 a a))) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) c) (/.f64 (*.f64 b b) a)))))) |
(fma.f64 2 (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (*.f64 c c)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)) (fma.f64 1/256 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) (*.f64 (*.f64 c a) (*.f64 c a))) (pow.f64 b 4)) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 b b) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) c)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2))) (*.f64 (pow.f64 c 3) a))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) (pow.f64 c 3))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a)))))))) |
(fma.f64 -1/8 (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (/.f64 (*.f64 a (pow.f64 c 3)) (*.f64 (*.f64 b b) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2)))) (fma.f64 2 (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (/.f64 (*.f64 c c) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2))) (fma.f64 1/256 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (*.f64 c c)) (/.f64 (pow.f64 b 4) (*.f64 a a))) (fma.f64 2 (/.f64 (fma.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) -11/8192)) (/.f64 (pow.f64 c 3) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2))) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) c) (/.f64 (*.f64 b b) a)))))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) (/.f64 (pow.f64 c 3) -3/512)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) (/.f64 a (*.f64 b b)))) (fma.f64 2 (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (*.f64 c c)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)) (fma.f64 1/256 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) (*.f64 (*.f64 c a) (*.f64 c a))) (pow.f64 b 4)) (fma.f64 2 (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) -7/8192) (pow.f64 c 3)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 b b) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) c)) (pow.f64 (pow.f64 (exp.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 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) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) |
(fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) c) (/.f64 (*.f64 b b) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 b b) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))) |
(fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) c) (/.f64 (*.f64 b b) a)) (fma.f64 1/256 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (*.f64 c c)) (/.f64 (pow.f64 b 4) (*.f64 a a))) (fma.f64 2 (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (/.f64 (*.f64 c c) (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)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 b b) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) c)) (fma.f64 2 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) c) (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) c)) (fma.f64 1/256 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) (*.f64 c c))) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2)))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.f64 (*.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))))) (*.f64 1/8 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2))) a))) (pow.f64 c 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) c) (/.f64 (*.f64 b b) a)) (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (fma.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) 5/6144)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) (*.f64 1/8 (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (*.f64 (*.f64 b b) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))) a))) (pow.f64 c 3)) (fma.f64 2 (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (/.f64 (*.f64 c c) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))) (fma.f64 1/256 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (*.f64 c c)) (/.f64 (pow.f64 b 4) (*.f64 a a))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 b b) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) c)) (-.f64 (fma.f64 2 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) c) (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) c)) (fma.f64 1/256 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) (*.f64 c c))) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2))) (/.f64 (fma.f64 2 (*.f64 (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) 7/8192) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2)) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) 1/8) (/.f64 (/.f64 a (*.f64 b b)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2)))) (pow.f64 c 3)))) |
Compiled 29734 to 20266 computations (31.8% saved)
26 alts after pruning (23 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 898 | 16 | 914 |
| Fresh | 12 | 7 | 19 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 3 | 5 |
| Total | 913 | 26 | 939 |
| Status | Error | Program |
|---|---|---|
| 45.0b | (/.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2)) a) | |
| 40.3b | (/.f64 (neg.f64 c) b) | |
| 46.1b | (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) | |
| 43.8b | (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a)) | |
| 54.8b | (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b) (*.f64 2 a)) | |
| 47.9b | (/.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 c -4)))) (*.f64 (*.f64 a 2) (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))) | |
| ✓ | 32.3b | (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) |
| ✓ | 32.0b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) |
| 54.0b | (/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (*.f64 2 a)) | |
| ▶ | 45.1b | (/.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (*.f64 2 a)) |
| ▶ | 45.6b | (/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))) |
| 43.9b | (*.f64 (/.f64 (-.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)))))) (/.f64 -1/2 a)) | |
| ▶ | 45.0b | (-.f64 (/.f64 c b) (/.f64 b a)) |
| 43.8b | (/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2)) (*.f64 2 a)) | |
| 50.2b | (*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))))) | |
| ✓ | 44.7b | (neg.f64 (/.f64 b a)) |
| 62.3b | (*.f64 (/.f64 1/2 a) (*.f64 b 2)) | |
| 44.5b | (/.f64 (*.f64 (*.f64 2 (*.f64 c a)) -1/2) (*.f64 b a)) | |
| 42.5b | (+.f64 0 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a)))) | |
| 54.3b | (/.f64 c b) | |
| ▶ | 62.3b | (/.f64 b a) |
| ▶ | 32.5b | (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (*.f64 c -4)) (*.f64 b b)))) (/.f64 -1/2 a)) |
| 34.0b | (*.f64 (-.f64 b (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) 3/2)) (/.f64 -1/2 a)) | |
| 43.8b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) | |
| 45.0b | (*.f64 (/.f64 (*.f64 a (*.f64 c 2)) b) (/.f64 -1/2 a)) | |
| 44.8b | (*.f64 (*.f64 b 2) (/.f64 -1/2 a)) |
Compiled 792 to 560 computations (29.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (*.f64 (cbrt.f64 a) (*.f64 c -4)) |
| ✓ | 0.6b | (cbrt.f64 a) |
| ✓ | 0.6b | (-.f64 b (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (*.f64 c -4)) (*.f64 b b)))) |
| ✓ | 23.8b | (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (*.f64 c -4)) (*.f64 b b))) |
Compiled 97 to 49 computations (49.5% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 37.0ms | a | @ | 0 | (-.f64 b (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (*.f64 c -4)) (*.f64 b b)))) |
| 2.0ms | c | @ | 0 | (*.f64 (cbrt.f64 a) (*.f64 c -4)) |
| 2.0ms | a | @ | 0 | (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (*.f64 c -4)) (*.f64 b b))) |
| 2.0ms | a | @ | -inf | (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (*.f64 c -4)) (*.f64 b b))) |
| 2.0ms | a | @ | inf | (-.f64 b (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (*.f64 c -4)) (*.f64 b b)))) |
| 1× | batch-egg-rewrite |
| 801× | prod-diff_binary64 |
| 641× | log-prod_binary64 |
| 366× | fma-def_binary64 |
| 242× | expm1-udef_binary64 |
| 242× | log1p-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 61 |
| 1 | 294 | 45 |
| 2 | 3595 | 39 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (*.f64 c -4)) (*.f64 b b))) |
(-.f64 b (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (*.f64 c -4)) (*.f64 b b)))) |
(cbrt.f64 a) |
(*.f64 (cbrt.f64 a) (*.f64 c -4)) |
| Outputs |
|---|
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-4)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 a))) (cbrt.f64 (exp.f64 (cbrt.f64 a))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 a)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) (cbrt.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 a)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a 1/6) (pow.f64 a 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 a (cbrt.f64 a)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 a) 1/3) (pow.f64 (sqrt.f64 a) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 a 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 a) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 a)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cbrt.f64 a) (*.f64 c -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 c) -4) (cbrt.f64 a))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 c) -4) (cbrt.f64 a))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 c) -4) (cbrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 c) -4) (cbrt.f64 a)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 c) -4) (cbrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 c) -4) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 a (pow.f64 (*.f64 c -4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 c -4) 3) a))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4))) 1)))))) |
| 1× | egg-herbie |
| 719× | times-frac_binary64 |
| 666× | fma-def_binary64 |
| 374× | fma-neg_binary64 |
| 357× | unswap-sqr_binary64 |
| 344× | associate-/r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 1390 |
| 1 | 463 | 1181 |
| 2 | 1511 | 1117 |
| 3 | 5675 | 1103 |
| 4 | 7470 | 1103 |
| 1× | node limit |
| Inputs |
|---|
b |
b |
b |
b |
(+.f64 b (*.f64 -2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3)))) |
(+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 b (*.f64 -2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))))) |
(+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 b (+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (*.f64 -4 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (pow.f64 1 1/3)))))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -4))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -4))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -4))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))))))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -4))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (*.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))) |
b |
(+.f64 b (*.f64 -2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3)))) |
(+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 b (*.f64 -2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))))) |
(+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 b (+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (*.f64 -4 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (pow.f64 1 1/3)))))) |
(*.f64 -1 b) |
(+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (*.f64 -1 b)) |
(+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (*.f64 -1 b))) |
(+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 (*.f64 4 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (pow.f64 1 1/3))) (*.f64 -1 b)))) |
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -4)))) |
(+.f64 b (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -4))))) |
(+.f64 b (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(+.f64 b (+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))) |
(*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) |
(+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3)))) |
(+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (*.f64 4 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (pow.f64 1 1/3))))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 16 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 1 1/3))) (pow.f64 (*.f64 -2 (*.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 1 1/3))) 2)) (pow.f64 b 7))) (+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (*.f64 4 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (pow.f64 1 1/3)))))) |
(*.f64 2 b) |
(+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (*.f64 2 b)) |
(+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (*.f64 2 b))) |
(+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (+.f64 (*.f64 -4 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (pow.f64 1 1/3))) (*.f64 2 b)))) |
0 |
(*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) |
(+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3)))) |
(+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (*.f64 4 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (pow.f64 1 1/3))))) |
(+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (+.f64 (*.f64 4 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (pow.f64 1 1/3))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 a 2) (pow.f64 b 3)))) 2) (*.f64 16 (*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 a 4) (pow.f64 b 6)))))) b))))) |
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3))) |
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3))) |
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3))) |
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3))) |
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3))) |
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3))) |
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3))) |
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3))) |
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3))) |
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3))) |
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3))) |
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3))) |
| Outputs |
|---|
b |
b |
b |
b |
(+.f64 b (*.f64 -2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3)))) |
(+.f64 b (*.f64 -2 (*.f64 (/.f64 c (/.f64 b a)) 1))) |
(fma.f64 -2 (/.f64 c (/.f64 b a)) b) |
(fma.f64 -2 (*.f64 (/.f64 a b) c) b) |
(+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 b (*.f64 -2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) 1)) (pow.f64 b 3)) (+.f64 b (*.f64 -2 (*.f64 (/.f64 c (/.f64 b a)) 1)))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) |
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) b) |
(fma.f64 -2 (*.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))))) b) |
(+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 b (+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (*.f64 -4 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (pow.f64 1 1/3)))))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) 1)) (pow.f64 b 3)) (+.f64 b (fma.f64 -2 (*.f64 (/.f64 c (/.f64 b a)) 1) (*.f64 -4 (*.f64 1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))))) |
(+.f64 (fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (/.f64 (*.f64 -4 (pow.f64 c 3)) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))) |
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) (/.f64 (*.f64 (pow.f64 a 3) -4) (/.f64 (pow.f64 b 5) (pow.f64 c 3))))) |
(+.f64 b (fma.f64 -2 (*.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))))) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -4)))) |
(-.f64 (fma.f64 -2 (*.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))))) b) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) 4))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -4))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 1 (sqrt.f64 -4))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -4))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (*.f64 1 (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (*.f64 1 (/.f64 (*.f64 b b) (sqrt.f64 -4)))))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (*.f64 b (/.f64 b (sqrt.f64 -4)))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 1/2 (*.f64 b (/.f64 b (sqrt.f64 -4)))))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -4))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (*.f64 1 (sqrt.f64 -4)) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (*.f64 1 (/.f64 (*.f64 b b) (sqrt.f64 -4)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4)) -1/8)))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (*.f64 b (/.f64 b (sqrt.f64 -4)))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 -1/8 (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4)))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 1/2 (*.f64 b (/.f64 b (sqrt.f64 -4))))))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -4))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (*.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (*.f64 1 (sqrt.f64 -4)) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (*.f64 1 (/.f64 (*.f64 b b) (sqrt.f64 -4)))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (*.f64 1 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (fma.f64 (*.f64 1/16 (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 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4)) -1/8))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (*.f64 b (/.f64 b (sqrt.f64 -4)))) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 -1/8 (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (*.f64 (pow.f64 b 6) 1/16) (pow.f64 (sqrt.f64 -4) 5)))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 -4) 5) (pow.f64 b 6))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 1/2 (*.f64 b (/.f64 b (sqrt.f64 -4)))))))) |
b |
(+.f64 b (*.f64 -2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3)))) |
(+.f64 b (*.f64 -2 (*.f64 (/.f64 c (/.f64 b a)) 1))) |
(fma.f64 -2 (/.f64 c (/.f64 b a)) b) |
(fma.f64 -2 (*.f64 (/.f64 a b) c) b) |
(+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 b (*.f64 -2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) 1)) (pow.f64 b 3)) (+.f64 b (*.f64 -2 (*.f64 (/.f64 c (/.f64 b a)) 1)))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) |
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) b) |
(fma.f64 -2 (*.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))))) b) |
(+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 b (+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (*.f64 -4 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (pow.f64 1 1/3)))))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) 1)) (pow.f64 b 3)) (+.f64 b (fma.f64 -2 (*.f64 (/.f64 c (/.f64 b a)) 1) (*.f64 -4 (*.f64 1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))))) |
(+.f64 (fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (/.f64 (*.f64 -4 (pow.f64 c 3)) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))) |
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) (/.f64 (*.f64 (pow.f64 a 3) -4) (/.f64 (pow.f64 b 5) (pow.f64 c 3))))) |
(+.f64 b (fma.f64 -2 (*.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))))) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -4)))) |
(-.f64 (fma.f64 -2 (*.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))))) b) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) 4))) |
(*.f64 -1 b) |
(neg.f64 b) |
(+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (*.f64 -1 b)) |
(fma.f64 2 (*.f64 (/.f64 c (/.f64 b a)) 1) (neg.f64 b)) |
(-.f64 (*.f64 (/.f64 c (/.f64 b a)) 2) b) |
(-.f64 (*.f64 (*.f64 (/.f64 a b) c) 2) b) |
(+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (*.f64 -1 b))) |
(fma.f64 2 (*.f64 (/.f64 c (/.f64 b a)) 1) (fma.f64 2 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) 1)) (pow.f64 b 3)) (neg.f64 b))) |
(fma.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a))) (neg.f64 b)) |
(fma.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) (neg.f64 b)) |
(-.f64 (*.f64 2 (*.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a)))))) b) |
(+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 (*.f64 4 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (pow.f64 1 1/3))) (*.f64 -1 b)))) |
(fma.f64 2 (*.f64 (/.f64 c (/.f64 b a)) 1) (fma.f64 2 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) 1)) (pow.f64 b 3)) (fma.f64 4 (*.f64 1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))) (neg.f64 b)))) |
(fma.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a))) (fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) 4 (neg.f64 b))) |
(-.f64 (fma.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) (*.f64 (/.f64 (*.f64 (pow.f64 c 3) 4) (pow.f64 b 5)) (pow.f64 a 3))) b) |
(-.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) 4)) (fma.f64 -2 (*.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))))) b)) |
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -4)))) |
(neg.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 1 (sqrt.f64 -4)))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -4))) |
(+.f64 b (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -4))))) |
(+.f64 b (neg.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 1 (sqrt.f64 -4))))) |
(-.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 b (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(+.f64 b (fma.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 1 (sqrt.f64 -4))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (*.f64 1 (/.f64 (*.f64 b b) (sqrt.f64 -4)))) -1/2))) |
(+.f64 (-.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) -1/2))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -4)) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (*.f64 (*.f64 b (/.f64 b (sqrt.f64 -4))) -1/2) b)) |
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (*.f64 b (/.f64 b (sqrt.f64 -4))) -1/2) b) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 b (+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))) |
(+.f64 b (fma.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (fma.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 1 (sqrt.f64 -4))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (*.f64 1 (/.f64 (*.f64 b b) (sqrt.f64 -4)))) -1/2)))) |
(+.f64 b (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))) 1/8 (-.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) -1/2)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4)) 1/8) (fma.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -4)) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (*.f64 (*.f64 b (/.f64 b (sqrt.f64 -4))) -1/2) b))) |
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (*.f64 (pow.f64 b 4) 1/8) (*.f64 -4 (sqrt.f64 -4))) b) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 1/2 (*.f64 b (/.f64 b (sqrt.f64 -4))))))) |
(*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) |
(*.f64 (*.f64 (/.f64 c (/.f64 b a)) 1) 2) |
(*.f64 (/.f64 c (/.f64 b a)) 2) |
(*.f64 (*.f64 (/.f64 a b) c) 2) |
(+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3)))) |
(*.f64 2 (+.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) 1)) (pow.f64 b 3)) (*.f64 (/.f64 c (/.f64 b a)) 1))) |
(*.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)))) |
(*.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c))) |
(*.f64 2 (*.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a)))))) |
(+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (*.f64 4 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (pow.f64 1 1/3))))) |
(fma.f64 2 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) 1)) (pow.f64 b 3)) (fma.f64 2 (*.f64 (/.f64 c (/.f64 b a)) 1) (*.f64 (*.f64 1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))) 4))) |
(fma.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a))) (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) 4)) |
(fma.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) (*.f64 (/.f64 (*.f64 (pow.f64 c 3) 4) (pow.f64 b 5)) (pow.f64 a 3))) |
(fma.f64 2 (*.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))))) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) 4))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 16 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 1 1/3))) (pow.f64 (*.f64 -2 (*.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 1 1/3))) 2)) (pow.f64 b 7))) (+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (*.f64 4 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (pow.f64 1 1/3)))))) |
(fma.f64 1/2 (/.f64 (fma.f64 16 (*.f64 1 (*.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (*.f64 -2 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) 1))) 2)) (pow.f64 b 7)) (fma.f64 2 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) 1)) (pow.f64 b 3)) (fma.f64 2 (*.f64 (/.f64 c (/.f64 b a)) 1) (*.f64 (*.f64 1 (/.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 c (/.f64 b a)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a))) (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) 4))) |
(fma.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) (fma.f64 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) 4 (*.f64 (/.f64 1/2 (pow.f64 b 7)) (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20)))) |
(fma.f64 2 (*.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))))) (fma.f64 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) 4 (*.f64 (/.f64 1/2 (pow.f64 b 7)) (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20)))) |
(*.f64 2 b) |
(*.f64 b 2) |
(+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (*.f64 2 b)) |
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 b a)) 1) (*.f64 b 2)) |
(fma.f64 b 2 (*.f64 -2 (/.f64 c (/.f64 b a)))) |
(fma.f64 b 2 (*.f64 -2 (*.f64 (/.f64 a b) c))) |
(fma.f64 -2 (*.f64 (/.f64 a b) c) (*.f64 b 2)) |
(+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (*.f64 2 b))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) 1)) (pow.f64 b 3)) (fma.f64 -2 (*.f64 (/.f64 c (/.f64 b a)) 1) (*.f64 b 2))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 b 2 (*.f64 -2 (/.f64 c (/.f64 b a))))) |
(fma.f64 b 2 (*.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)))) |
(fma.f64 b 2 (*.f64 -2 (*.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))))))) |
(+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (+.f64 (*.f64 -4 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (pow.f64 1 1/3))) (*.f64 2 b)))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) 1)) (pow.f64 b 3)) (fma.f64 -2 (*.f64 (/.f64 c (/.f64 b a)) 1) (fma.f64 -4 (*.f64 1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))) (*.f64 b 2)))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (/.f64 c (/.f64 b a)) (fma.f64 b 2 (/.f64 (*.f64 -4 (pow.f64 c 3)) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))) |
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) (fma.f64 b 2 (/.f64 (*.f64 (pow.f64 a 3) -4) (/.f64 (pow.f64 b 5) (pow.f64 c 3))))) |
(fma.f64 -2 (*.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))))) (fma.f64 b 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -4)))) |
0 |
(*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) |
(*.f64 (*.f64 (/.f64 c (/.f64 b a)) 1) 2) |
(*.f64 (/.f64 c (/.f64 b a)) 2) |
(*.f64 (*.f64 (/.f64 a b) c) 2) |
(+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3)))) |
(*.f64 2 (+.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) 1)) (pow.f64 b 3)) (*.f64 (/.f64 c (/.f64 b a)) 1))) |
(*.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)))) |
(*.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c))) |
(*.f64 2 (*.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a)))))) |
(+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (*.f64 4 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (pow.f64 1 1/3))))) |
(fma.f64 2 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) 1)) (pow.f64 b 3)) (fma.f64 2 (*.f64 (/.f64 c (/.f64 b a)) 1) (*.f64 (*.f64 1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))) 4))) |
(fma.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a))) (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) 4)) |
(fma.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) (*.f64 (/.f64 (*.f64 (pow.f64 c 3) 4) (pow.f64 b 5)) (pow.f64 a 3))) |
(fma.f64 2 (*.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))))) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) 4))) |
(+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (+.f64 (*.f64 4 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (pow.f64 1 1/3))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 a 2) (pow.f64 b 3)))) 2) (*.f64 16 (*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 a 4) (pow.f64 b 6)))))) b))))) |
(fma.f64 2 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) 1)) (pow.f64 b 3)) (fma.f64 2 (*.f64 (/.f64 c (/.f64 b a)) 1) (fma.f64 4 (*.f64 1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (pow.f64 (*.f64 -2 (/.f64 (*.f64 a a) (pow.f64 b 3))) 2) (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))))) b))))) |
(fma.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a))) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 c 4) b) (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 a 4) (pow.f64 b 6))))) (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) 4))) |
(fma.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) (fma.f64 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) 4 (*.f64 1/2 (*.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) (/.f64 (pow.f64 c 4) b))))) |
(fma.f64 2 (*.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))))) (fma.f64 1/2 (*.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) (/.f64 (pow.f64 c 4) b)) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) 4)))) |
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3))) |
(*.f64 -4 (*.f64 c (cbrt.f64 a))) |
(*.f64 c (*.f64 (cbrt.f64 a) -4)) |
(*.f64 (cbrt.f64 a) (*.f64 c -4)) |
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3))) |
(*.f64 -4 (*.f64 c (cbrt.f64 a))) |
(*.f64 c (*.f64 (cbrt.f64 a) -4)) |
(*.f64 (cbrt.f64 a) (*.f64 c -4)) |
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3))) |
(*.f64 -4 (*.f64 c (cbrt.f64 a))) |
(*.f64 c (*.f64 (cbrt.f64 a) -4)) |
(*.f64 (cbrt.f64 a) (*.f64 c -4)) |
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3))) |
(*.f64 -4 (*.f64 c (cbrt.f64 a))) |
(*.f64 c (*.f64 (cbrt.f64 a) -4)) |
(*.f64 (cbrt.f64 a) (*.f64 c -4)) |
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3))) |
(*.f64 -4 (*.f64 c (cbrt.f64 a))) |
(*.f64 c (*.f64 (cbrt.f64 a) -4)) |
(*.f64 (cbrt.f64 a) (*.f64 c -4)) |
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3))) |
(*.f64 -4 (*.f64 c (cbrt.f64 a))) |
(*.f64 c (*.f64 (cbrt.f64 a) -4)) |
(*.f64 (cbrt.f64 a) (*.f64 c -4)) |
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3))) |
(*.f64 -4 (*.f64 c (cbrt.f64 a))) |
(*.f64 c (*.f64 (cbrt.f64 a) -4)) |
(*.f64 (cbrt.f64 a) (*.f64 c -4)) |
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3))) |
(*.f64 -4 (*.f64 c (cbrt.f64 a))) |
(*.f64 c (*.f64 (cbrt.f64 a) -4)) |
(*.f64 (cbrt.f64 a) (*.f64 c -4)) |
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3))) |
(*.f64 -4 (*.f64 c (cbrt.f64 a))) |
(*.f64 c (*.f64 (cbrt.f64 a) -4)) |
(*.f64 (cbrt.f64 a) (*.f64 c -4)) |
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3))) |
(*.f64 -4 (*.f64 c (cbrt.f64 a))) |
(*.f64 c (*.f64 (cbrt.f64 a) -4)) |
(*.f64 (cbrt.f64 a) (*.f64 c -4)) |
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3))) |
(*.f64 -4 (*.f64 c (cbrt.f64 a))) |
(*.f64 c (*.f64 (cbrt.f64 a) -4)) |
(*.f64 (cbrt.f64 a) (*.f64 c -4)) |
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3))) |
(*.f64 -4 (*.f64 c (cbrt.f64 a))) |
(*.f64 c (*.f64 (cbrt.f64 a) -4)) |
(*.f64 (cbrt.f64 a) (*.f64 c -4)) |
Compiled 8 to 4 computations (50% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (/.f64 c b) (/.f64 b a)) |
Compiled 19 to 6 computations (68.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | c | @ | 0 | (-.f64 (/.f64 c b) (/.f64 b a)) |
| 0.0ms | b | @ | inf | (-.f64 (/.f64 c b) (/.f64 b a)) |
| 0.0ms | a | @ | 0 | (-.f64 (/.f64 c b) (/.f64 b a)) |
| 0.0ms | a | @ | -inf | (-.f64 (/.f64 c b) (/.f64 b a)) |
| 0.0ms | b | @ | 0 | (-.f64 (/.f64 c b) (/.f64 b a)) |
| 1× | batch-egg-rewrite |
| 470× | log-prod_binary64 |
| 351× | exp-prod_binary64 |
| 337× | pow-prod-down_binary64 |
| 309× | fma-def_binary64 |
| 241× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 164 | 10 |
| 2 | 2652 | 10 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 c b) (/.f64 b a)) |
| Outputs |
|---|
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(cbrt.f64 b)) (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) -2) (/.f64 c (cbrt.f64 b)) (*.f64 (/.f64 (neg.f64 b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 b -1/2) (/.f64 c (sqrt.f64 b)) (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 b -1/2) (/.f64 c (sqrt.f64 b)) (*.f64 (/.f64 (neg.f64 b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) 1) (/.f64 (cbrt.f64 c) b) (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) 1) (/.f64 (cbrt.f64 c) b) (*.f64 (/.f64 (neg.f64 b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 c) 1) (/.f64 (sqrt.f64 c) b) (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 c) 1) (/.f64 (sqrt.f64 c) b) (*.f64 (/.f64 (neg.f64 b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (/.f64 c b)) (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (/.f64 c b)) (*.f64 (/.f64 (neg.f64 b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 c) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 c) (cbrt.f64 b)) (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 c) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 c) (cbrt.f64 b)) (*.f64 (/.f64 (neg.f64 b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (sqrt.f64 b)) (/.f64 (cbrt.f64 c) (sqrt.f64 b)) (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (sqrt.f64 b)) (/.f64 (cbrt.f64 c) (sqrt.f64 b)) (*.f64 (/.f64 (neg.f64 b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (-.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (fma.f64 (neg.f64 (/.f64 1 a)) b (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (-.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (fma.f64 (/.f64 (neg.f64 b) a) 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (-.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b a))) (cbrt.f64 (pow.f64 (/.f64 a b) -2)) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (-.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 a b) -2))) (cbrt.f64 (/.f64 b a)) (/.f64 c b)))))) |
| 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 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))) |
| 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 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)) |
(*.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)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 3.2b | (/.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (*.f64 2 a)) |
| ✓ | 6.0b | (*.f64 (/.f64 c b) a) |
Compiled 47 to 16 computations (66% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | -inf | (/.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (*.f64 2 a)) |
| 0.0ms | c | @ | 0 | (/.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (*.f64 2 a)) |
| 0.0ms | a | @ | 0 | (/.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (*.f64 2 a)) |
| 0.0ms | a | @ | inf | (/.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (*.f64 2 a)) |
| 0.0ms | b | @ | 0 | (/.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (*.f64 2 a)) |
| 1× | batch-egg-rewrite |
| 747× | log-prod_binary64 |
| 742× | prod-diff_binary64 |
| 277× | fma-def_binary64 |
| 231× | expm1-udef_binary64 |
| 231× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 23 |
| 1 | 251 | 20 |
| 2 | 3761 | 20 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 c b) a) |
(/.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (*.f64 2 a)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 c b) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b))) (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 c b) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c a) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 c a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) a) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (neg.f64 c)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 c b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 (pow.f64 (*.f64 (/.f64 c b) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 c b) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 c b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 c b) a)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (/.f64 c b) a) a) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (/.f64 (+.f64 a a) (-.f64 (*.f64 (/.f64 c b) a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (*.f64 2 (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)) 2) (cbrt.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) 2)) (*.f64 (cbrt.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)) (sqrt.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b))) (*.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 (/.f64 c b) a) b) -2) (/.f64 1 (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) 1) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) 1) (/.f64 2 (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (/.f64 c b) a) b)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (*.f64 (/.f64 c b) a) b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 (/.f64 c b) a) b)) 1) (/.f64 (sqrt.f64 (-.f64 (*.f64 (/.f64 c b) a) b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (/.f64 c b) a) b)) 2) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (cbrt.f64 (-.f64 (*.f64 (/.f64 c b) a) b)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 (/.f64 c b) a) b)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (-.f64 (*.f64 (/.f64 c b) a) b)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (/.f64 c b) a) b)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (-.f64 (*.f64 (/.f64 c b) a) b)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 (/.f64 c b) a) b)) (sqrt.f64 a)) (/.f64 (sqrt.f64 (-.f64 (*.f64 (/.f64 c b) a) b)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 a) (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) 2) (/.f64 2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) 2)) a) (/.f64 (cbrt.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b))) a) (/.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b))) 2) (/.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) 2)) 2) (/.f64 (cbrt.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 a a)) (-.f64 (*.f64 (/.f64 c b) a) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) 2)) 1) (/.f64 (cbrt.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b))) 1) (/.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 2 (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) 2)) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (cbrt.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b))) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b))) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 (+.f64 a a))) (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (sqrt.f64 (+.f64 a a))) (/.f64 2 (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) 2)) (sqrt.f64 (+.f64 a a))) (/.f64 (cbrt.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b))) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1 (/.f64 a (-.f64 (*.f64 (/.f64 c b) a) b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (/.f64 c b) a) b) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) 3) (pow.f64 (+.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)) 1)))))) |
| 1× | egg-herbie |
| 819× | fma-def_binary64 |
| 461× | fma-neg_binary64 |
| 328× | div-sub_binary64 |
| 258× | associate-/l*_binary64 |
| 177× | associate-/l/_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 620 |
| 1 | 18 | 566 |
| 2 | 31 | 566 |
| 3 | 43 | 566 |
| 4 | 57 | 566 |
| 5 | 87 | 566 |
| 6 | 151 | 566 |
| 7 | 217 | 566 |
| 8 | 385 | 566 |
| 9 | 794 | 566 |
| 10 | 1754 | 566 |
| 11 | 3020 | 566 |
| 12 | 3780 | 566 |
| 13 | 3998 | 566 |
| 14 | 4213 | 566 |
| 15 | 4279 | 566 |
| 16 | 4319 | 566 |
| 17 | 4351 | 566 |
| 18 | 4351 | 566 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(*.f64 -1 (/.f64 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))) |
(*.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))) |
| Outputs |
|---|
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(*.f64 -1 (/.f64 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 (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 b (neg.f64 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 b (neg.f64 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 b (neg.f64 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)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))) |
| 0.2b | (*.f64 a (*.f64 c -4)) | |
| ✓ | 0.7b | (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) |
| ✓ | 12.0b | (sqrt.f64 (*.f64 a (*.f64 c -4))) |
Compiled 66 to 41 computations (37.9% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | inf | (/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))) |
| 1.0ms | c | @ | inf | (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) |
| 1.0ms | a | @ | -inf | (/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))) |
| 1.0ms | c | @ | inf | (/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))) |
| 1.0ms | c | @ | -inf | (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) |
| 1× | batch-egg-rewrite |
| 713× | log-prod_binary64 |
| 674× | prod-diff_binary64 |
| 262× | fma-def_binary64 |
| 253× | expm1-udef_binary64 |
| 253× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 45 |
| 1 | 288 | 45 |
| 2 | 3839 | 45 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 a (*.f64 c -4))) |
(+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) |
(/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))) |
| Outputs |
|---|
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1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) (/.f64 1/2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)) (/.f64 1/2 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (/.f64 1/2 a) (*.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) (/.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 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 a) (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b) (*.f64 (/.f64 1/2 a) b)))))) |
| 1× | egg-herbie |
| 917× | times-frac_binary64 |
| 680× | associate-/l*_binary64 |
| 557× | unswap-sqr_binary64 |
| 491× | fma-def_binary64 |
| 488× | associate-/r*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 143 | 1103 |
| 1 | 416 | 899 |
| 2 | 1536 | 854 |
| 3 | 6532 | 830 |
| 4 | 7653 | 826 |
| 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 b a) |
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a)))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 1/2 (/.f64 b a))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))) |
(+.f64 (/.f64 b a) (+.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 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 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)))))) |
(*.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 -1/4 (/.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 -1/4 (/.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 (*.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 1/4 (/.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 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))) |
(/.f64 b a) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) |
(+.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) |
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) 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 (*.f64 1/2 (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 (/.f64 1 a) c)) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) 1/2))) |
(fma.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (*.f64 1/2 (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)) |
(fma.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (*.f64 1/2 (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) 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 (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4))) (+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) 1/2)))) |
(+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (*.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 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (*.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 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (*.f64 b 2)) |
(fma.f64 1/2 (/.f64 (*.f64 c a) (/.f64 b -4)) (*.f64 b 2)) |
(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 (*.f64 c c) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (*.f64 b 2))) |
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 c a) (/.f64 b -4)) (*.f64 b 2)) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3))) |
(fma.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b)) (fma.f64 b 2 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (/.f64 (pow.f64 b 3) -2)))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)))) |
(fma.f64 -1/8 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.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 (*.f64 c 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 1/2 (/.f64 (*.f64 c a) (/.f64 b -4)) (*.f64 b 2)))) |
(fma.f64 1/16 (*.f64 (*.f64 (pow.f64 a 3) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b)) (fma.f64 b 2 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (/.f64 (pow.f64 b 3) -2))))) |
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) |
(*.f64 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) -1/2) |
(*.f64 (/.f64 (*.f64 c a) (/.f64 b -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 (*.f64 c c) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (*.f64 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) -1/2)) |
(fma.f64 (/.f64 (*.f64 c a) (/.f64 b -4)) -1/2 (/.f64 (*.f64 (*.f64 c c) 1/8) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) 16)))) |
(fma.f64 (*.f64 (*.f64 a -4) (/.f64 c b)) -1/2 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) 16) (pow.f64 b 3)) (*.f64 c 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 (*.f64 c c) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (/.f64 (*.f64 -1/16 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))) |
(fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 (*.f64 a a) 16)) 1/8 (fma.f64 (/.f64 (*.f64 c a) (/.f64 b -4)) -1/2 (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) -1/16))) |
(fma.f64 (*.f64 (*.f64 a -4) (/.f64 c b)) -1/2 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) 16) (pow.f64 b 3)) (*.f64 c c)) 1/8 (/.f64 (*.f64 (*.f64 (pow.f64 a 3) -64) (*.f64 (pow.f64 c 3) -1/16)) (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)))))) |
(fma.f64 1/8 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 c 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 (*.f64 (pow.f64 c 4) (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)) (pow.f64 b 7)))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 (*.f64 a a) 16)) 1/8 (fma.f64 (/.f64 (*.f64 c a) (/.f64 b -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 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) -1/16)))) |
(fma.f64 (*.f64 (*.f64 a -4) (/.f64 c b)) -1/2 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) 16) (pow.f64 b 3)) (*.f64 c c)) 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 (*.f64 (pow.f64 a 3) -64) (*.f64 (pow.f64 c 3) -1/16)) (pow.f64 b 5))))) |
(fma.f64 (*.f64 (*.f64 a -4) (/.f64 c b)) -1/2 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) 16) (pow.f64 b 3)) (*.f64 c c)) 1/8 (fma.f64 1/2 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (/.f64 (*.f64 (*.f64 (pow.f64 a 3) -64) (*.f64 (pow.f64 c 3) -1/16)) (pow.f64 b 5))))) |
(*.f64 2 b) |
(*.f64 b 2) |
(*.f64 2 b) |
(*.f64 b 2) |
(/.f64 b a) |
(*.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 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b 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 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a)))) |
(fma.f64 1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 1/2 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))) |
(fma.f64 1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (*.f64 1/4 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))))) |
(fma.f64 1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) 1/4))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 1/2 (/.f64 b a))))) |
(fma.f64 1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (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))))) (*.f64 1/2 (/.f64 b a))))) |
(+.f64 (fma.f64 1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (*.f64 1/4 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (*.f64 (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4)) -1/16))) |
(fma.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (*.f64 1/4 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (fma.f64 1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (*.f64 1/64 (/.f64 (pow.f64 b 4) (/.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3)))))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))) |
(+.f64 (/.f64 b a) (*.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))))) |
(+.f64 (/.f64 b a) (/.f64 (*.f64 -1 c) b)) |
(+.f64 (/.f64 b a) (/.f64 (neg.f64 c) b)) |
(-.f64 (/.f64 b a) (/.f64 c b)) |
(+.f64 (/.f64 b a) (+.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 b a) (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))))))) |
(+.f64 (/.f64 b a) (fma.f64 -1/16 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) (/.f64 (*.f64 -1 c) b))) |
(+.f64 (/.f64 b a) (fma.f64 -1/16 (*.f64 (*.f64 a 16) (/.f64 c (/.f64 (pow.f64 b 3) c))) (/.f64 (neg.f64 c) b))) |
(-.f64 (fma.f64 -1/16 (*.f64 (*.f64 a 16) (/.f64 c (/.f64 (pow.f64 b 3) c))) (/.f64 b a)) (/.f64 c b)) |
(+.f64 (/.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 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)))))) |
(+.f64 (/.f64 b a) (fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 1/32 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6)))) (*.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))))))) |
(+.f64 (+.f64 (/.f64 b a) (/.f64 (*.f64 -1 c) b)) (fma.f64 -1/16 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) (/.f64 (*.f64 (*.f64 1/32 (*.f64 a (*.f64 a -64))) (pow.f64 c 3)) (pow.f64 b 5)))) |
(+.f64 (/.f64 b a) (fma.f64 -1/16 (*.f64 (*.f64 a 16) (/.f64 c (/.f64 (pow.f64 b 3) c))) (fma.f64 1/32 (*.f64 (*.f64 a (*.f64 a -64)) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 (neg.f64 c) b)))) |
(+.f64 (-.f64 (/.f64 b a) (/.f64 c b)) (fma.f64 1/32 (*.f64 (*.f64 a (*.f64 a -64)) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (*.f64 (/.f64 -1/16 (pow.f64 b 3)) (*.f64 c (*.f64 c (*.f64 a 16)))))) |
(*.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 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 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))) |
(fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) -1/4)) |
(fma.f64 1/16 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) (/.f64 (*.f64 1 c) b)) |
(fma.f64 1/16 (*.f64 (*.f64 a 16) (/.f64 c (/.f64 (pow.f64 b 3) c))) (/.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 -1/4 (/.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 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6)))) -1/32))) |
(fma.f64 1/16 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) (fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a -64))) -1/32 (/.f64 (*.f64 1 c) b))) |
(fma.f64 1/16 (*.f64 (*.f64 a 16) (/.f64 c (/.f64 (pow.f64 b 3) c))) (fma.f64 (*.f64 (*.f64 a (*.f64 a -64)) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) -1/32 (/.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 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) 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 -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 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 1/4 (/.f64 (fma.f64 1/16 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (sqrt.f64 -4) 8)) (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 4))) 2)) (*.f64 a (pow.f64 b 7))) (*.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 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) (/.f64 (*.f64 1 c) b)) (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 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a -64))) -1/32))) |
(fma.f64 1/16 (*.f64 (*.f64 a 16) (/.f64 c (/.f64 (pow.f64 b 3) c))) (fma.f64 (/.f64 1/4 (pow.f64 b 7)) (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) a) (fma.f64 (*.f64 (*.f64 a (*.f64 a -64)) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) -1/32 (/.f64 c b)))) |
(fma.f64 1/16 (*.f64 (*.f64 a 16) (/.f64 c (/.f64 (pow.f64 b 3) c))) (fma.f64 1/4 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (*.f64 a (pow.f64 b 7))) (fma.f64 (*.f64 (*.f64 a (*.f64 a -64)) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) -1/32 (/.f64 c b)))) |
(/.f64 b a) |
Compiled 16703 to 9382 computations (43.8% saved)
34 alts after pruning (28 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 680 | 13 | 693 |
| Fresh | 3 | 15 | 18 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 5 | 7 |
| Total | 685 | 34 | 719 |
| Status | Error | Program |
|---|---|---|
| 45.0b | (/.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2)) a) | |
| 40.3b | (/.f64 (neg.f64 c) b) | |
| 45.0b | (*.f64 (*.f64 (*.f64 (/.f64 a b) c) 2) (/.f64 -1/2 a)) | |
| 34.0b | (*.f64 (-.f64 b (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) 3/2)) (/.f64 -1/2 a)) | |
| 43.8b | (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a)) | |
| 54.8b | (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b) (*.f64 2 a)) | |
| 47.9b | (/.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 c -4)))) (*.f64 (*.f64 a 2) (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))) | |
| ▶ | 45.1b | (/.f64 (*.f64 2 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3) b)) (*.f64 2 a)) |
| ▶ | 45.1b | (/.f64 (*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b)) (*.f64 2 a)) |
| 50.2b | (/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)) b)))) | |
| ✓ | 32.3b | (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) |
| 43.9b | (*.f64 (/.f64 (-.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)))))) (/.f64 -1/2 a)) | |
| ✓ | 32.0b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) |
| 54.0b | (/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (*.f64 2 a)) | |
| ▶ | 45.2b | (*.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (/.f64 1 a)) |
| 52.3b | (/.f64 (*.f64 2 (-.f64 (exp.f64 (log.f64 (*.f64 (/.f64 c b) a))) b)) (*.f64 2 a)) | |
| ✓ | 45.6b | (/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))) |
| 43.8b | (/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2)) (*.f64 2 a)) | |
| 50.2b | (*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))))) | |
| ✓ | 44.7b | (neg.f64 (/.f64 b a)) |
| 62.3b | (*.f64 (/.f64 1/2 a) (*.f64 b 2)) | |
| 44.5b | (/.f64 (*.f64 (*.f64 2 (*.f64 c a)) -1/2) (*.f64 b a)) | |
| 42.5b | (+.f64 0 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a)))) | |
| ▶ | 54.3b | (/.f64 c b) |
| 45.5b | (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (cbrt.f64 a))) | |
| 51.0b | (/.f64 (-.f64 (/.f64 a b) (*.f64 (/.f64 b c) 1)) (*.f64 (/.f64 b c) (/.f64 a b))) | |
| 45.0b | (*.f64 (/.f64 (*.f64 a (*.f64 c 2)) b) (/.f64 -1/2 a)) | |
| 44.8b | (*.f64 (*.f64 b 2) (/.f64 -1/2 a)) | |
| ▶ | 29.1b | (*.f64 (-.f64 b (hypot.f64 (*.f64 (cbrt.f64 a) (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))) b)) (/.f64 -1/2 a)) |
| 52.6b | (/.f64 (/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) b) a) | |
| ✓ | 45.0b | (-.f64 (/.f64 c b) (/.f64 b a)) |
| 43.8b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) | |
| 62.3b | (/.f64 1/2 (/.f64 a (*.f64 b 2))) | |
| ✓ | 62.3b | (/.f64 b a) |
Compiled 1011 to 704 computations (30.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.5b | (*.f64 (cbrt.f64 a) (*.f64 c -4)) | |
| 0.6b | (cbrt.f64 a) | |
| ✓ | 0.6b | (-.f64 b (hypot.f64 (*.f64 (cbrt.f64 a) (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))) b)) |
| ✓ | 4.3b | (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4))) |
Compiled 83 to 45 computations (45.8% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 35.0ms | a | @ | 0 | (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4))) |
| 9.0ms | a | @ | inf | (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4))) |
| 3.0ms | a | @ | -inf | (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4))) |
| 3.0ms | c | @ | inf | (-.f64 b (hypot.f64 (*.f64 (cbrt.f64 a) (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))) b)) |
| 2.0ms | c | @ | -inf | (-.f64 b (hypot.f64 (*.f64 (cbrt.f64 a) (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))) b)) |
| 1× | batch-egg-rewrite |
| 621× | log-prod_binary64 |
| 452× | prod-diff_binary64 |
| 428× | pow-prod-down_binary64 |
| 319× | pow2_binary64 |
| 237× | pow-unpow_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 33 |
| 1 | 252 | 28 |
| 2 | 3182 | 27 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4))) |
(-.f64 b (hypot.f64 (*.f64 (cbrt.f64 a) (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))) b)) |
| Outputs |
|---|
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a (*.f64 c -4)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (hypot.f64 b (pow.f64 (*.f64 a (*.f64 c -4)) 1/2))) 2)) (cbrt.f64 (hypot.f64 b (pow.f64 (*.f64 a (*.f64 c -4)) 1/2))) b))))) |
| 1× | egg-herbie |
| 719× | associate-*l*_binary64 |
| 555× | times-frac_binary64 |
| 543× | unswap-sqr_binary64 |
| 418× | associate-/l*_binary64 |
| 303× | associate-/r*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 744 |
| 1 | 289 | 650 |
| 2 | 1020 | 616 |
| 3 | 5361 | 604 |
| 4 | 6890 | 590 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 (*.f64 1 a) 1/6) (sqrt.f64 -4))) |
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 (*.f64 1 a) 1/6) (sqrt.f64 -4))) |
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 (*.f64 1 a) 1/6) (sqrt.f64 -4))) |
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 (*.f64 1 a) 1/6) (sqrt.f64 -4))) |
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 (*.f64 1 a) 1/6) (sqrt.f64 -4))) |
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 (*.f64 1 a) 1/6) (sqrt.f64 -4))) |
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 (*.f64 1 a) 1/6) (sqrt.f64 -4))) |
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 (*.f64 1 a) 1/6) (sqrt.f64 -4))) |
(*.f64 (pow.f64 (*.f64 -1 a) 1/6) (*.f64 (sqrt.f64 (*.f64 c (cbrt.f64 -1))) (sqrt.f64 -4))) |
(*.f64 (pow.f64 (*.f64 -1 a) 1/6) (*.f64 (sqrt.f64 (*.f64 c (cbrt.f64 -1))) (sqrt.f64 -4))) |
(*.f64 (pow.f64 (*.f64 -1 a) 1/6) (*.f64 (sqrt.f64 (*.f64 c (cbrt.f64 -1))) (sqrt.f64 -4))) |
(*.f64 (pow.f64 (*.f64 -1 a) 1/6) (*.f64 (sqrt.f64 (*.f64 c (cbrt.f64 -1))) (sqrt.f64 -4))) |
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 -1 (*.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))) 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))) 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 (*.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)))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 (*.f64 1 a) 1/6) (sqrt.f64 -4))) |
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 a 1/6) (sqrt.f64 -4))) |
(*.f64 (pow.f64 a 1/6) (*.f64 (sqrt.f64 -4) (sqrt.f64 c))) |
(*.f64 (pow.f64 a 1/6) (*.f64 (sqrt.f64 c) (sqrt.f64 -4))) |
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 (*.f64 1 a) 1/6) (sqrt.f64 -4))) |
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 a 1/6) (sqrt.f64 -4))) |
(*.f64 (pow.f64 a 1/6) (*.f64 (sqrt.f64 -4) (sqrt.f64 c))) |
(*.f64 (pow.f64 a 1/6) (*.f64 (sqrt.f64 c) (sqrt.f64 -4))) |
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 (*.f64 1 a) 1/6) (sqrt.f64 -4))) |
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 a 1/6) (sqrt.f64 -4))) |
(*.f64 (pow.f64 a 1/6) (*.f64 (sqrt.f64 -4) (sqrt.f64 c))) |
(*.f64 (pow.f64 a 1/6) (*.f64 (sqrt.f64 c) (sqrt.f64 -4))) |
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 (*.f64 1 a) 1/6) (sqrt.f64 -4))) |
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 a 1/6) (sqrt.f64 -4))) |
(*.f64 (pow.f64 a 1/6) (*.f64 (sqrt.f64 -4) (sqrt.f64 c))) |
(*.f64 (pow.f64 a 1/6) (*.f64 (sqrt.f64 c) (sqrt.f64 -4))) |
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 (*.f64 1 a) 1/6) (sqrt.f64 -4))) |
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 a 1/6) (sqrt.f64 -4))) |
(*.f64 (pow.f64 a 1/6) (*.f64 (sqrt.f64 -4) (sqrt.f64 c))) |
(*.f64 (pow.f64 a 1/6) (*.f64 (sqrt.f64 c) (sqrt.f64 -4))) |
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 (*.f64 1 a) 1/6) (sqrt.f64 -4))) |
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 a 1/6) (sqrt.f64 -4))) |
(*.f64 (pow.f64 a 1/6) (*.f64 (sqrt.f64 -4) (sqrt.f64 c))) |
(*.f64 (pow.f64 a 1/6) (*.f64 (sqrt.f64 c) (sqrt.f64 -4))) |
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 (*.f64 1 a) 1/6) (sqrt.f64 -4))) |
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 a 1/6) (sqrt.f64 -4))) |
(*.f64 (pow.f64 a 1/6) (*.f64 (sqrt.f64 -4) (sqrt.f64 c))) |
(*.f64 (pow.f64 a 1/6) (*.f64 (sqrt.f64 c) (sqrt.f64 -4))) |
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 (*.f64 1 a) 1/6) (sqrt.f64 -4))) |
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 a 1/6) (sqrt.f64 -4))) |
(*.f64 (pow.f64 a 1/6) (*.f64 (sqrt.f64 -4) (sqrt.f64 c))) |
(*.f64 (pow.f64 a 1/6) (*.f64 (sqrt.f64 c) (sqrt.f64 -4))) |
(*.f64 (pow.f64 (*.f64 -1 a) 1/6) (*.f64 (sqrt.f64 (*.f64 c (cbrt.f64 -1))) (sqrt.f64 -4))) |
(*.f64 (*.f64 (pow.f64 (neg.f64 a) 1/6) (sqrt.f64 (*.f64 c (cbrt.f64 -1)))) (sqrt.f64 -4)) |
(*.f64 (sqrt.f64 -4) (*.f64 (pow.f64 (neg.f64 a) 1/6) (sqrt.f64 (*.f64 c (cbrt.f64 -1))))) |
(*.f64 (sqrt.f64 (*.f64 c (cbrt.f64 -1))) (*.f64 (sqrt.f64 -4) (pow.f64 (neg.f64 a) 1/6))) |
(*.f64 (pow.f64 (*.f64 -1 a) 1/6) (*.f64 (sqrt.f64 (*.f64 c (cbrt.f64 -1))) (sqrt.f64 -4))) |
(*.f64 (*.f64 (pow.f64 (neg.f64 a) 1/6) (sqrt.f64 (*.f64 c (cbrt.f64 -1)))) (sqrt.f64 -4)) |
(*.f64 (sqrt.f64 -4) (*.f64 (pow.f64 (neg.f64 a) 1/6) (sqrt.f64 (*.f64 c (cbrt.f64 -1))))) |
(*.f64 (sqrt.f64 (*.f64 c (cbrt.f64 -1))) (*.f64 (sqrt.f64 -4) (pow.f64 (neg.f64 a) 1/6))) |
(*.f64 (pow.f64 (*.f64 -1 a) 1/6) (*.f64 (sqrt.f64 (*.f64 c (cbrt.f64 -1))) (sqrt.f64 -4))) |
(*.f64 (*.f64 (pow.f64 (neg.f64 a) 1/6) (sqrt.f64 (*.f64 c (cbrt.f64 -1)))) (sqrt.f64 -4)) |
(*.f64 (sqrt.f64 -4) (*.f64 (pow.f64 (neg.f64 a) 1/6) (sqrt.f64 (*.f64 c (cbrt.f64 -1))))) |
(*.f64 (sqrt.f64 (*.f64 c (cbrt.f64 -1))) (*.f64 (sqrt.f64 -4) (pow.f64 (neg.f64 a) 1/6))) |
(*.f64 (pow.f64 (*.f64 -1 a) 1/6) (*.f64 (sqrt.f64 (*.f64 c (cbrt.f64 -1))) (sqrt.f64 -4))) |
(*.f64 (*.f64 (pow.f64 (neg.f64 a) 1/6) (sqrt.f64 (*.f64 c (cbrt.f64 -1)))) (sqrt.f64 -4)) |
(*.f64 (sqrt.f64 -4) (*.f64 (pow.f64 (neg.f64 a) 1/6) (sqrt.f64 (*.f64 c (cbrt.f64 -1))))) |
(*.f64 (sqrt.f64 (*.f64 c (cbrt.f64 -1))) (*.f64 (sqrt.f64 -4) (pow.f64 (neg.f64 a) 1/6))) |
(*.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 -4) (neg.f64 (sqrt.f64 (*.f64 c a)))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -4))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b) |
(fma.f64 -1 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b) |
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -4) b) |
(fma.f64 (sqrt.f64 -4) (neg.f64 (sqrt.f64 (*.f64 c a))) 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))) 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 -4) (sqrt.f64 (*.f64 c a))) b)) |
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -4) b)) |
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 -1/2 (*.f64 (/.f64 b (sqrt.f64 -4)) b)) b) (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)))) |
(+.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))) 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 -4) (sqrt.f64 (*.f64 c a))) 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 (sqrt.f64 -4) -4))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -4) b))) |
(+.f64 b (-.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) -1/32)) (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))))) |
(+.f64 b (-.f64 (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))) (*.f64 (/.f64 b (/.f64 -4 b)) (*.f64 1/8 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))))) (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))))) |
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 -1/2 (*.f64 (/.f64 b (sqrt.f64 -4)) b)) b) (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 c a) 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))) |
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) |
(*.f64 -1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b)) |
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a -4)) b)) |
(/.f64 (*.f64 (*.f64 c a) 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))) |
(fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 -1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b))) |
(fma.f64 -1/2 (/.f64 (*.f64 c (*.f64 a -4)) b) (*.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 16 a) a)) (pow.f64 b 3)))) |
(+.f64 (/.f64 (*.f64 (*.f64 c a) 2) b) (/.f64 (*.f64 (*.f64 c (*.f64 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 -1/2 (/.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 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (*.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 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 16 a) a)) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 (*.f64 c (*.f64 a -4)) b) (*.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64))))) |
(+.f64 (/.f64 (*.f64 (*.f64 c a) 2) b) (+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) 2) (pow.f64 b 3)) (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) 4) (pow.f64 b 5)))) |
(+.f64 (/.f64 (*.f64 (*.f64 c a) 2) b) (+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) 2) (pow.f64 b 3)) (/.f64 (*.f64 (pow.f64 (*.f64 c a) 3) 4) (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)))))) |
(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 (*.f64 (*.f64 c 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 (*.f64 1/2 (fma.f64 1/16 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (sqrt.f64 -4) 8)) (pow.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) -1/8) 2))) (pow.f64 b 7))))) |
(fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 16 a) a)) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 (*.f64 c (*.f64 a -4)) b) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) (*.f64 1/2 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) 2)) (pow.f64 b 7)))))) |
(+.f64 (+.f64 (/.f64 (*.f64 (*.f64 c a) 2) b) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) 2) (pow.f64 b 3))) (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 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) 4) (pow.f64 b 5)))) |
(+.f64 (+.f64 (/.f64 (*.f64 (*.f64 c a) 2) b) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) 2) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) 4) (pow.f64 b 5)))) |
(+.f64 (+.f64 (/.f64 (*.f64 (*.f64 c a) 2) b) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) 2) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) 20)) (pow.f64 b 7)) (/.f64 (*.f64 (pow.f64 (*.f64 c a) 3) 4) (pow.f64 b 5)))) |
(*.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 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (*.f64 b 2)) |
(fma.f64 b 2 (*.f64 (/.f64 (*.f64 c (*.f64 a -4)) b) 1/2)) |
(fma.f64 b 2 (/.f64 (*.f64 (*.f64 c a) -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))) |
(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 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (*.f64 b 2))) |
(+.f64 (fma.f64 b 2 (*.f64 (/.f64 (*.f64 c (*.f64 a -4)) b) 1/2)) (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3))) |
(+.f64 (/.f64 (*.f64 (*.f64 c a) -2) b) (fma.f64 b 2 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) -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 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (*.f64 b 2)))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3)) (fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) 1/16 (fma.f64 b 2 (*.f64 (/.f64 (*.f64 c (*.f64 a -4)) b) 1/2)))) |
(+.f64 (/.f64 (*.f64 (*.f64 c a) -2) b) (+.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) -2)) (pow.f64 b 3)) (fma.f64 b 2 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -4) (pow.f64 b 5))))) |
(+.f64 (/.f64 (*.f64 (*.f64 c a) -2) b) (+.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) -2)) (pow.f64 b 3)) (fma.f64 b 2 (/.f64 (*.f64 (pow.f64 (*.f64 c a) 3) -4) (pow.f64 b 5))))) |
Compiled 8 to 4 computations (50% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 3.3b | (*.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (/.f64 1 a)) |
| 6.0b | (*.f64 (/.f64 c b) a) |
Compiled 36 to 12 computations (66.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | b | @ | -inf | (*.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (/.f64 1 a)) |
| 0.0ms | c | @ | 0 | (*.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (/.f64 1 a)) |
| 0.0ms | a | @ | inf | (*.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (/.f64 1 a)) |
| 0.0ms | a | @ | 0 | (*.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (/.f64 1 a)) |
| 0.0ms | c | @ | inf | (*.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (/.f64 1 a)) |
| 1× | batch-egg-rewrite |
| 715× | prod-diff_binary64 |
| 573× | log-prod_binary64 |
| 285× | pow2_binary64 |
| 270× | fma-def_binary64 |
| 200× | pow-unpow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 13 |
| 1 | 219 | 13 |
| 2 | 3099 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (/.f64 1 a)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 c b) a) (/.f64 1 a)) (*.f64 (neg.f64 b) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 a) (*.f64 (/.f64 c b) a)) (*.f64 (/.f64 1 a) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (/.f64 c b) a) a) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (-.f64 (*.f64 (/.f64 c b) a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (/.f64 c b) a) b)) 2) (/.f64 a (cbrt.f64 (-.f64 (*.f64 (/.f64 c b) a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (*.f64 (/.f64 c b) a) b)) (/.f64 a (sqrt.f64 (-.f64 (*.f64 (/.f64 c b) a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3) (pow.f64 b 3)) (*.f64 a (fma.f64 b (fma.f64 (/.f64 c b) a b) (pow.f64 (*.f64 (/.f64 c b) a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c b) a) 2) (*.f64 b b)) (*.f64 a (fma.f64 (/.f64 c b) a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (/.f64 c b) a) b)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3) (pow.f64 b 3)) 1) (*.f64 (fma.f64 b (fma.f64 (/.f64 c b) a b) (pow.f64 (*.f64 (/.f64 c b) a) 2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c b) a) 2) (*.f64 b b)) 1) (*.f64 (fma.f64 (/.f64 c b) a b) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3) (pow.f64 b 3)) -1) (*.f64 (fma.f64 b (fma.f64 (/.f64 c b) a b) (pow.f64 (*.f64 (/.f64 c b) a) 2)) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c b) a) 2) (*.f64 b b)) -1) (*.f64 (fma.f64 (/.f64 c b) a b) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3) (pow.f64 b 3))) (*.f64 (neg.f64 a) (fma.f64 b (fma.f64 (/.f64 c b) a b) (pow.f64 (*.f64 (/.f64 c b) a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (pow.f64 (*.f64 (/.f64 c b) a) 2) (*.f64 b b))) (*.f64 (neg.f64 a) (fma.f64 (/.f64 c b) a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3) (pow.f64 b 3)) (/.f64 1 a)) (fma.f64 b (fma.f64 (/.f64 c b) a b) (pow.f64 (*.f64 (/.f64 c b) a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c b) a) 2) (*.f64 b b)) (/.f64 1 a)) (fma.f64 (/.f64 c b) a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (*.f64 (/.f64 c b) a) b)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (/.f64 c b) a) b) -1) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 a) (-.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3) (pow.f64 b 3))) (fma.f64 b (fma.f64 (/.f64 c b) a b) (pow.f64 (*.f64 (/.f64 c b) a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 a) (-.f64 (pow.f64 (*.f64 (/.f64 c b) a) 2) (*.f64 b b))) (fma.f64 (/.f64 c b) a b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (/.f64 c b) a) b) 3) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (/.f64 c b) a) b) 3) (/.f64 (pow.f64 a -2) a)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (pow.f64 a -2) a) (pow.f64 (-.f64 (*.f64 (/.f64 c b) a) b) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (-.f64 (*.f64 (/.f64 c b) a) b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (/.f64 c b) a) b) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (/.f64 c b) a) b) 3) (/.f64 (pow.f64 a -2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 a -2) a) (pow.f64 (-.f64 (*.f64 (/.f64 c b) a) b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 c b) a) (/.f64 1 a) (*.f64 (neg.f64 b) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 a) (*.f64 (/.f64 c b) a) (*.f64 (/.f64 1 a) (neg.f64 b))))))) |
| 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 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))) |
| 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 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)) |
(*.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)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 2.6b | (*.f64 c (/.f64 a b)) |
| ✓ | 3.2b | (/.f64 (*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b)) (*.f64 2 a)) |
Compiled 47 to 16 computations (66% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | a | @ | 0 | (*.f64 c (/.f64 a b)) |
| 0.0ms | c | @ | 0 | (/.f64 (*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b)) (*.f64 2 a)) |
| 0.0ms | a | @ | inf | (*.f64 c (/.f64 a b)) |
| 0.0ms | b | @ | -inf | (/.f64 (*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b)) (*.f64 2 a)) |
| 0.0ms | a | @ | -inf | (/.f64 (*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b)) (*.f64 2 a)) |
| 1× | batch-egg-rewrite |
| 747× | log-prod_binary64 |
| 742× | prod-diff_binary64 |
| 277× | fma-def_binary64 |
| 231× | expm1-udef_binary64 |
| 231× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 23 |
| 1 | 251 | 20 |
| 2 | 3753 | 20 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b)) (*.f64 2 a)) |
(*.f64 c (/.f64 a b)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 c (/.f64 a b)) a) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (*.f64 2 (/.f64 a (fma.f64 c (/.f64 a b) (neg.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) (*.f64 2 (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (fma.f64 c (/.f64 a b) (neg.f64 b))) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a)) 2) (cbrt.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a)))))) 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#<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 2 (fma.f64 c (/.f64 a b) (neg.f64 b))) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (fma.f64 c (/.f64 a b) (neg.f64 b))) 3) (pow.f64 (+.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 c) (/.f64 a b))) (cbrt.f64 (pow.f64 (exp.f64 c) (/.f64 a b))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c) (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c) (/.f64 a b)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c) (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c (/.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c a) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 c a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a) c) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (neg.f64 a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (/.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c (/.f64 a b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c (/.f64 a b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (/.f64 a b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 c (/.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 c (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c (/.f64 a b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c (/.f64 a b))) 1)))))) |
| 1× | egg-herbie |
| 819× | fma-def_binary64 |
| 461× | fma-neg_binary64 |
| 331× | div-sub_binary64 |
| 251× | associate-/l*_binary64 |
| 177× | associate-/l/_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 620 |
| 1 | 18 | 566 |
| 2 | 31 | 566 |
| 3 | 43 | 566 |
| 4 | 57 | 566 |
| 5 | 87 | 566 |
| 6 | 151 | 566 |
| 7 | 217 | 566 |
| 8 | 384 | 566 |
| 9 | 793 | 566 |
| 10 | 1758 | 566 |
| 11 | 3025 | 566 |
| 12 | 3785 | 566 |
| 13 | 4003 | 566 |
| 14 | 4218 | 566 |
| 15 | 4284 | 566 |
| 16 | 4324 | 566 |
| 17 | 4356 | 566 |
| 18 | 4356 | 566 |
| 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))) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 c a) b) |
| Outputs |
|---|
(*.f64 -1 (/.f64 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 (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 b (neg.f64 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 b (neg.f64 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 b (neg.f64 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 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(/.f64 a (/.f64 b c)) |
(*.f64 (/.f64 a b) c) |
(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3) |
| ✓ | 3.2b | (/.f64 (*.f64 2 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3) b)) (*.f64 2 a)) |
| 6.0b | (*.f64 (/.f64 c b) a) | |
| ✓ | 20.3b | (cbrt.f64 (*.f64 (/.f64 c b) a)) |
Compiled 71 to 28 computations (60.6% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | -inf | (/.f64 (*.f64 2 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3) b)) (*.f64 2 a)) |
| 1.0ms | c | @ | -inf | (/.f64 (*.f64 2 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3) b)) (*.f64 2 a)) |
| 1.0ms | c | @ | 0 | (/.f64 (*.f64 2 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3) b)) (*.f64 2 a)) |
| 1.0ms | b | @ | -inf | (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3) |
| 1.0ms | a | @ | inf | (/.f64 (*.f64 2 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3) b)) (*.f64 2 a)) |
| 1× | batch-egg-rewrite |
| 923× | prod-diff_binary64 |
| 329× | fma-def_binary64 |
| 257× | expm1-udef_binary64 |
| 257× | log1p-udef_binary64 |
| 216× | log-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 32 |
| 1 | 318 | 29 |
| 2 | 4264 | 29 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (*.f64 (/.f64 c b) a)) |
(/.f64 (*.f64 2 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3) b)) (*.f64 2 a)) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3) |
| Outputs |
|---|
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c a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) a) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (neg.f64 c)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 c b) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 c b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) |
| 1× | egg-herbie |
| 14× | fma-def_binary64 |
| 8× | sub-neg_binary64 |
| 4× | +-commutative_binary64 |
| 4× | fma-neg_binary64 |
| 3× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 66 |
| 1 | 10 | 66 |
| 2 | 17 | 66 |
| 3 | 23 | 66 |
| 4 | 29 | 66 |
| 5 | 37 | 66 |
| 6 | 45 | 66 |
| 7 | 55 | 66 |
| 8 | 63 | 66 |
| 9 | 77 | 66 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
| Outputs |
|---|
(*.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 (/.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 (/.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 (/.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 (/.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 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
Compiled 12168 to 6461 computations (46.9% saved)
38 alts after pruning (29 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 558 | 9 | 567 |
| Fresh | 3 | 20 | 23 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 9 | 10 |
| Total | 563 | 38 | 601 |
| Status | Error | Program |
|---|---|---|
| 29.1b | (*.f64 (-.f64 b (hypot.f64 (*.f64 (cbrt.f64 a) (pow.f64 (pow.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)) 1/4) 2)) b)) (/.f64 -1/2 a)) | |
| 45.0b | (/.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2)) a) | |
| 40.3b | (/.f64 (neg.f64 c) b) | |
| 45.0b | (*.f64 (*.f64 (*.f64 (/.f64 a b) c) 2) (/.f64 -1/2 a)) | |
| 34.0b | (*.f64 (-.f64 b (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) 3/2)) (/.f64 -1/2 a)) | |
| 45.1b | (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a) | |
| 43.8b | (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a)) | |
| 45.4b | (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a)) | |
| 54.8b | (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b) (*.f64 2 a)) | |
| 47.9b | (/.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 c -4)))) (*.f64 (*.f64 a 2) (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))) | |
| ✓ | 32.3b | (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) |
| 43.9b | (*.f64 (/.f64 (-.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)))))) (/.f64 -1/2 a)) | |
| ✓ | 32.0b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) |
| 54.0b | (/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (*.f64 2 a)) | |
| ✓ | 45.2b | (*.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (/.f64 1 a)) |
| ✓ | 45.6b | (/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))) |
| 43.8b | (/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2)) (*.f64 2 a)) | |
| 50.2b | (*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))))) | |
| ✓ | 44.7b | (neg.f64 (/.f64 b a)) |
| 45.2b | (*.f64 (-.f64 (*.f64 c (/.f64 a b)) b) (/.f64 1 a)) | |
| 29.3b | (*.f64 (-.f64 b (hypot.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 3) (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))) b)) (/.f64 -1/2 a)) | |
| 62.3b | (*.f64 (/.f64 1/2 a) (*.f64 b 2)) | |
| 44.5b | (/.f64 (*.f64 (*.f64 2 (*.f64 c a)) -1/2) (*.f64 b a)) | |
| 42.5b | (+.f64 0 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a)))) | |
| 52.3b | (*.f64 (-.f64 (exp.f64 (log.f64 (*.f64 (/.f64 c b) a))) b) (/.f64 1 a)) | |
| ✓ | 54.3b | (/.f64 c b) |
| 34.8b | (*.f64 (-.f64 b (hypot.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)) 3/2))) b)) (/.f64 -1/2 a)) | |
| 51.0b | (/.f64 (-.f64 (/.f64 a b) (*.f64 (/.f64 b c) 1)) (*.f64 (/.f64 b c) (/.f64 a b))) | |
| 45.0b | (*.f64 (/.f64 (*.f64 a (*.f64 c 2)) b) (/.f64 -1/2 a)) | |
| 44.8b | (*.f64 (*.f64 b 2) (/.f64 -1/2 a)) | |
| ✓ | 29.1b | (*.f64 (-.f64 b (hypot.f64 (*.f64 (cbrt.f64 a) (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))) b)) (/.f64 -1/2 a)) |
| 45.2b | (*.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3) b) (/.f64 1 a)) | |
| 29.3b | (*.f64 (-.f64 b (hypot.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) (cbrt.f64 (cbrt.f64 a))) (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))) b)) (/.f64 -1/2 a)) | |
| ✓ | 62.3b | (/.f64 b a) |
| 50.2b | (/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)) b)))) | |
| ✓ | 45.0b | (-.f64 (/.f64 c b) (/.f64 b a)) |
| 43.8b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) | |
| 62.3b | (/.f64 1/2 (/.f64 a (*.f64 b 2))) |
Compiled 634 to 438 computations (30.9% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(neg.f64 (/.f64 b a)) |
(/.f64 1/2 (/.f64 a (*.f64 b 2))) |
(*.f64 (/.f64 1/2 a) (*.f64 b 2)) |
(*.f64 (-.f64 b b) (/.f64 -1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (*.f64 b 2) (/.f64 -1/2 a)) |
(/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a) |
(*.f64 (-.f64 (*.f64 c (/.f64 a b)) b) (/.f64 1 a)) |
(*.f64 (*.f64 (*.f64 (/.f64 a b) c) 2) (/.f64 -1/2 a)) |
(*.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (/.f64 1 a)) |
(/.f64 (/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) b) a) |
(/.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2)) a) |
(/.f64 (*.f64 (*.f64 2 (*.f64 c a)) -1/2) (*.f64 b a)) |
(*.f64 (/.f64 (*.f64 a (*.f64 c 2)) b) (/.f64 -1/2 a)) |
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a)) |
(*.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a)) |
(/.f64 (*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b)) (*.f64 2 a)) |
(/.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (*.f64 2 a)) |
(+.f64 0 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a)))) |
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
(/.f64 (+.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 (*.f64 2 c) b) a) b)) (*.f64 2 a)) |
(/.f64 (-.f64 (/.f64 a b) (*.f64 (/.f64 b c) 1)) (*.f64 (/.f64 b c) (/.f64 a b))) |
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (*.f64 2 a)) |
(*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) |
(*.f64 (-.f64 (exp.f64 (log.f64 (*.f64 (/.f64 c b) a))) b) (/.f64 1 a)) |
(*.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3) b) (/.f64 1 a)) |
(/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))) |
(*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) |
(/.f64 (*.f64 2 (-.f64 (exp.f64 (log.f64 (*.f64 (/.f64 c b) a))) b)) (*.f64 2 a)) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) |
(/.f64 (*.f64 2 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3) b)) (*.f64 2 a)) |
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2)) (*.f64 2 a)) |
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a)) |
(/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)) b)))) |
(*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))))) |
(pow.f64 (/.f64 (+.f64 a a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) -1) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (cbrt.f64 a))) |
(*.f64 (-.f64 b (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) 3/2)) (/.f64 -1/2 a)) |
(*.f64 (-.f64 b (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 3/2)) (/.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 (pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2))) (*.f64 2 a)) |
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2)) (*.f64 2 a)) |
(*.f64 (/.f64 (-.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)))))) (/.f64 -1/2 a)) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 c -4)))) (*.f64 (*.f64 a 2) (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))) |
(*.f64 (/.f64 (-.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)))))) (/.f64 -1/2 a)) |
(/.f64 (pow.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) 2) (*.f64 2 a)) |
(*.f64 (-.f64 b (hypot.f64 (*.f64 (cbrt.f64 a) (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))) b)) (/.f64 -1/2 a)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b) (*.f64 2 a)) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (sqrt.f64 (+.f64 a a)))) |
(*.f64 (-.f64 b (hypot.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)) 3/2))) b)) (/.f64 -1/2 a)) |
(*.f64 (-.f64 b (hypot.f64 (*.f64 (cbrt.f64 a) (pow.f64 (pow.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)) 1/4) 2)) b)) (/.f64 -1/2 a)) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (*.f64 c -4)) (*.f64 b b)))) (/.f64 -1/2 a)) |
(*.f64 (-.f64 b (hypot.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 3) (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))) b)) (/.f64 -1/2 a)) |
(*.f64 (-.f64 b (hypot.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) (cbrt.f64 (cbrt.f64 a))) (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))) b)) (/.f64 -1/2 a)) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2)))))) |
| Outputs |
|---|
(neg.f64 (/.f64 b a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) |
(*.f64 (-.f64 b (hypot.f64 (*.f64 (cbrt.f64 a) (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))) b)) (/.f64 -1/2 a)) |
(/.f64 (neg.f64 c) b) |
4 calls:
| 361.0ms | c |
| 235.0ms | a |
| 179.0ms | b |
| 92.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) |
| Error | Segments | Branch |
|---|---|---|
| 25.1b | 5 | a |
| 6.2b | 4 | b |
| 22.9b | 9 | c |
| 12.6b | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) |
Compiled 963 to 530 computations (45% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 336.0ms | 2.9167037391392693e-72 | 2.9552995508575954e-64 |
| 34.0ms | -2.381062256307992e-206 | -3.0827094364985755e-207 |
| 47.0ms | -5.4906382504813316e+104 | -8.798036300051321e+102 |
Compiled 757 to 535 computations (29.3% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(neg.f64 (/.f64 b a)) |
(/.f64 1/2 (/.f64 a (*.f64 b 2))) |
(*.f64 (/.f64 1/2 a) (*.f64 b 2)) |
(*.f64 (-.f64 b b) (/.f64 -1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (*.f64 b 2) (/.f64 -1/2 a)) |
(/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a) |
(*.f64 (-.f64 (*.f64 c (/.f64 a b)) b) (/.f64 1 a)) |
(*.f64 (*.f64 (*.f64 (/.f64 a b) c) 2) (/.f64 -1/2 a)) |
(*.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (/.f64 1 a)) |
(/.f64 (/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) b) a) |
(/.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2)) a) |
(/.f64 (*.f64 (*.f64 2 (*.f64 c a)) -1/2) (*.f64 b a)) |
(*.f64 (/.f64 (*.f64 a (*.f64 c 2)) b) (/.f64 -1/2 a)) |
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a)) |
(*.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a)) |
(/.f64 (*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b)) (*.f64 2 a)) |
(/.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (*.f64 2 a)) |
(+.f64 0 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a)))) |
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
(/.f64 (+.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 (*.f64 2 c) b) a) b)) (*.f64 2 a)) |
(/.f64 (-.f64 (/.f64 a b) (*.f64 (/.f64 b c) 1)) (*.f64 (/.f64 b c) (/.f64 a b))) |
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (*.f64 2 a)) |
(*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) |
(*.f64 (-.f64 (exp.f64 (log.f64 (*.f64 (/.f64 c b) a))) b) (/.f64 1 a)) |
(*.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3) b) (/.f64 1 a)) |
(/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))) |
(*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) |
(/.f64 (*.f64 2 (-.f64 (exp.f64 (log.f64 (*.f64 (/.f64 c b) a))) b)) (*.f64 2 a)) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) |
(/.f64 (*.f64 2 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3) b)) (*.f64 2 a)) |
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2)) (*.f64 2 a)) |
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a)) |
(/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)) b)))) |
(*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))))) |
(pow.f64 (/.f64 (+.f64 a a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) -1) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (cbrt.f64 a))) |
(*.f64 (-.f64 b (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) 3/2)) (/.f64 -1/2 a)) |
(*.f64 (-.f64 b (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 3/2)) (/.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 (pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2))) (*.f64 2 a)) |
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2)) (*.f64 2 a)) |
(*.f64 (/.f64 (-.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)))))) (/.f64 -1/2 a)) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 c -4)))) (*.f64 (*.f64 a 2) (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))) |
(*.f64 (/.f64 (-.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)))))) (/.f64 -1/2 a)) |
(/.f64 (pow.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) 2) (*.f64 2 a)) |
| Outputs |
|---|
(neg.f64 (/.f64 b a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) |
(/.f64 (neg.f64 c) b) |
4 calls:
| 333.0ms | c |
| 217.0ms | a |
| 129.0ms | b |
| 76.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) |
| Error | Segments | Branch |
|---|---|---|
| 26.4b | 7 | a |
| 7.6b | 3 | b |
| 26.3b | 9 | c |
| 12.6b | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) |
Compiled 758 to 407 computations (46.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 159.0ms | 2.9167037391392693e-72 | 2.9552995508575954e-64 |
| 46.0ms | -5.4906382504813316e+104 | -8.798036300051321e+102 |
Compiled 490 to 355 computations (27.6% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(neg.f64 (/.f64 b a)) |
(/.f64 1/2 (/.f64 a (*.f64 b 2))) |
(*.f64 (/.f64 1/2 a) (*.f64 b 2)) |
(*.f64 (-.f64 b b) (/.f64 -1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (*.f64 b 2) (/.f64 -1/2 a)) |
(/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a) |
(*.f64 (-.f64 (*.f64 c (/.f64 a b)) b) (/.f64 1 a)) |
(*.f64 (*.f64 (*.f64 (/.f64 a b) c) 2) (/.f64 -1/2 a)) |
(*.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (/.f64 1 a)) |
(/.f64 (/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) b) a) |
(/.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2)) a) |
(/.f64 (*.f64 (*.f64 2 (*.f64 c a)) -1/2) (*.f64 b a)) |
(*.f64 (/.f64 (*.f64 a (*.f64 c 2)) b) (/.f64 -1/2 a)) |
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a)) |
(*.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a)) |
(/.f64 (*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b)) (*.f64 2 a)) |
(/.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (*.f64 2 a)) |
(+.f64 0 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a)))) |
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
(/.f64 (+.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 (*.f64 2 c) b) a) b)) (*.f64 2 a)) |
(/.f64 (-.f64 (/.f64 a b) (*.f64 (/.f64 b c) 1)) (*.f64 (/.f64 b c) (/.f64 a b))) |
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (*.f64 2 a)) |
(*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) |
| Outputs |
|---|
(neg.f64 (/.f64 b a)) |
(*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) |
(/.f64 (neg.f64 c) b) |
3 calls:
| 126.0ms | c |
| 115.0ms | a |
| 60.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 26.7b | 7 | a |
| 7.9b | 3 | b |
| 26.6b | 9 | c |
Compiled 322 to 165 computations (48.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 168.0ms | 2.9167037391392693e-72 | 2.9552995508575954e-64 |
| 80.0ms | -3.5132776694176266e+65 | -9.192227780461623e+60 |
Compiled 502 to 359 computations (28.5% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(neg.f64 (/.f64 b a)) |
(/.f64 1/2 (/.f64 a (*.f64 b 2))) |
(*.f64 (/.f64 1/2 a) (*.f64 b 2)) |
(*.f64 (-.f64 b b) (/.f64 -1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (*.f64 b 2) (/.f64 -1/2 a)) |
(/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a) |
(*.f64 (-.f64 (*.f64 c (/.f64 a b)) b) (/.f64 1 a)) |
(*.f64 (*.f64 (*.f64 (/.f64 a b) c) 2) (/.f64 -1/2 a)) |
(*.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (/.f64 1 a)) |
(/.f64 (/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) b) a) |
(/.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2)) a) |
(/.f64 (*.f64 (*.f64 2 (*.f64 c a)) -1/2) (*.f64 b a)) |
(*.f64 (/.f64 (*.f64 a (*.f64 c 2)) b) (/.f64 -1/2 a)) |
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a)) |
(*.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a)) |
(/.f64 (*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b)) (*.f64 2 a)) |
(/.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (*.f64 2 a)) |
(+.f64 0 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a)))) |
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
(/.f64 (+.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 (*.f64 2 c) b) a) b)) (*.f64 2 a)) |
(/.f64 (-.f64 (/.f64 a b) (*.f64 (/.f64 b c) 1)) (*.f64 (/.f64 b c) (/.f64 a b))) |
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (*.f64 2 a)) |
| Outputs |
|---|
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) |
(/.f64 (neg.f64 c) b) |
3 calls:
| 141.0ms | c |
| 134.0ms | a |
| 60.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 29.1b | 9 | a |
| 11.1b | 3 | b |
| 30.0b | 10 | c |
Compiled 306 to 156 computations (49% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 163.0ms | 2.9167037391392693e-72 | 2.9552995508575954e-64 |
| 21.0ms | -5.634001981993939e-64 | -4.97073790580567e-64 |
Compiled 307 to 230 computations (25.1% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(neg.f64 (/.f64 b a)) |
(/.f64 1/2 (/.f64 a (*.f64 b 2))) |
(*.f64 (/.f64 1/2 a) (*.f64 b 2)) |
(*.f64 (-.f64 b b) (/.f64 -1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (*.f64 b 2) (/.f64 -1/2 a)) |
(/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a) |
(*.f64 (-.f64 (*.f64 c (/.f64 a b)) b) (/.f64 1 a)) |
(*.f64 (*.f64 (*.f64 (/.f64 a b) c) 2) (/.f64 -1/2 a)) |
(*.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (/.f64 1 a)) |
(/.f64 (/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) b) a) |
(/.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2)) a) |
(/.f64 (*.f64 (*.f64 2 (*.f64 c a)) -1/2) (*.f64 b a)) |
(*.f64 (/.f64 (*.f64 a (*.f64 c 2)) b) (/.f64 -1/2 a)) |
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a)) |
(*.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a)) |
(/.f64 (*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b)) (*.f64 2 a)) |
(/.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (*.f64 2 a)) |
(+.f64 0 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a)))) |
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
(/.f64 (+.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 (*.f64 2 c) b) a) b)) (*.f64 2 a)) |
(/.f64 (-.f64 (/.f64 a b) (*.f64 (/.f64 b c) 1)) (*.f64 (/.f64 b c) (/.f64 a b))) |
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a)) |
| Outputs |
|---|
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a)) |
(/.f64 (neg.f64 c) b) |
3 calls:
| 135.0ms | c |
| 129.0ms | a |
| 53.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 29.2b | 9 | a |
| 11.2b | 3 | b |
| 30.1b | 10 | c |
Compiled 278 to 141 computations (49.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 145.0ms | 2.9167037391392693e-72 | 2.9552995508575954e-64 |
| 22.0ms | -5.634001981993939e-64 | -4.97073790580567e-64 |
Compiled 296 to 219 computations (26% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
(neg.f64 (/.f64 b a)) |
(/.f64 1/2 (/.f64 a (*.f64 b 2))) |
(*.f64 (/.f64 1/2 a) (*.f64 b 2)) |
(*.f64 (-.f64 b b) (/.f64 -1/2 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (*.f64 b 2) (/.f64 -1/2 a)) |
(/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a) |
(*.f64 (-.f64 (*.f64 c (/.f64 a b)) b) (/.f64 1 a)) |
(*.f64 (*.f64 (*.f64 (/.f64 a b) c) 2) (/.f64 -1/2 a)) |
(*.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (/.f64 1 a)) |
(/.f64 (/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) b) a) |
(/.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2)) a) |
(/.f64 (*.f64 (*.f64 2 (*.f64 c a)) -1/2) (*.f64 b a)) |
(*.f64 (/.f64 (*.f64 a (*.f64 c 2)) b) (/.f64 -1/2 a)) |
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a)) |
(*.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a)) |
(/.f64 (*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b)) (*.f64 2 a)) |
(/.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (*.f64 2 a)) |
(+.f64 0 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a)))) |
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) |
(/.f64 (+.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 (*.f64 2 c) b) a) b)) (*.f64 2 a)) |
(/.f64 (-.f64 (/.f64 a b) (*.f64 (/.f64 b c) 1)) (*.f64 (/.f64 b c) (/.f64 a b))) |
| Outputs |
|---|
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 c) b) |
3 calls:
| 111.0ms | c |
| 61.0ms | a |
| 26.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 35.6b | 4 | a |
| 22.4b | 2 | b |
| 33.9b | 9 | c |
Compiled 266 to 133 computations (50% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 59.0ms | 3.096307003430907e-277 | 1.0182515031231161e-271 |
Compiled 170 to 127 computations (25.3% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 c b) |
(/.f64 b a) |
(/.f64 (neg.f64 c) b) |
(/.f64 (neg.f64 c) b) |
| Outputs |
|---|
(/.f64 (neg.f64 c) b) |
3 calls:
| 10.0ms | a |
| 10.0ms | c |
| 9.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 40.3b | 1 | a |
| 40.3b | 1 | b |
| 40.3b | 1 | c |
Compiled 32 to 16 computations (50% saved)
Total -8.8b remaining (-16.3%)
Threshold costs -8.8b (-16.3%)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 c b) |
(/.f64 b a) |
| Outputs |
|---|
(/.f64 c b) |
3 calls:
| 8.0ms | a |
| 8.0ms | b |
| 8.0ms | c |
| Error | Segments | Branch |
|---|---|---|
| 54.3b | 1 | a |
| 54.3b | 1 | b |
| 54.3b | 1 | c |
Compiled 24 to 14 computations (41.7% saved)
| 1× | egg-herbie |
| 22× | *-commutative_binary64 |
| 18× | +-commutative_binary64 |
| 15× | sub-neg_binary64 |
| 10× | neg-sub0_binary64 |
| 10× | neg-mul-1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 304 |
| 1 | 106 | 298 |
| 2 | 134 | 298 |
| 3 | 154 | 298 |
| 4 | 163 | 298 |
| 5 | 166 | 298 |
| 6 | 167 | 298 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 b -9000000000000000415099664899441332350249394662843400180740152269272587870207080318178722916000323338240) (neg.f64 (/.f64 b a)) (if (<=.f64 b -4482274955261683/1445895146858607358437943727208769466035893202868007692637901788601699241144933631951807447549557758449099707135121406247999127995329736165184795181305316406492567598839150653733187621116264206194563768053163279547256274944) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (*.f64 (-.f64 b (hypot.f64 (*.f64 (cbrt.f64 a) (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))) b)) (/.f64 -1/2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b -9000000000000000415099664899441332350249394662843400180740152269272587870207080318178722916000323338240) (neg.f64 (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b -9499999999999999875989708498693149500726119967001179789983744) (neg.f64 (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b -7410693711188237/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b -7410693711188237/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b 6187104959557631/19958403095347198116563727130368385660674512604354575415025472424372118918689640657849579654926357010893424468441924952439724379883935936607391717982848314203200056729510856765175377214443629871826533567445439239933308104551208703888888552684480441575071209068757560416423584952303440099278848) (neg.f64 (/.f64 b a)) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c b) |
| Outputs |
|---|
(if (<=.f64 b -9000000000000000415099664899441332350249394662843400180740152269272587870207080318178722916000323338240) (neg.f64 (/.f64 b a)) (if (<=.f64 b -4482274955261683/1445895146858607358437943727208769466035893202868007692637901788601699241144933631951807447549557758449099707135121406247999127995329736165184795181305316406492567598839150653733187621116264206194563768053163279547256274944) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (*.f64 (-.f64 b (hypot.f64 (*.f64 (cbrt.f64 a) (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))) b)) (/.f64 -1/2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b -9000000000000000415099664899441332350249394662843400180740152269272587870207080318178722916000323338240) (/.f64 (neg.f64 b) a) (if (<=.f64 b -4482274955261683/1445895146858607358437943727208769466035893202868007692637901788601699241144933631951807447549557758449099707135121406247999127995329736165184795181305316406492567598839150653733187621116264206194563768053163279547256274944) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 a 2)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (*.f64 (-.f64 b (hypot.f64 (*.f64 (cbrt.f64 a) (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))) b)) (/.f64 -1/2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b -9000000000000000415099664899441332350249394662843400180740152269272587870207080318178722916000323338240) (/.f64 (neg.f64 b) a) (if (<=.f64 b -4482274955261683/1445895146858607358437943727208769466035893202868007692637901788601699241144933631951807447549557758449099707135121406247999127995329736165184795181305316406492567598839150653733187621116264206194563768053163279547256274944) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) b) (*.f64 a 2)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (*.f64 (-.f64 b (hypot.f64 (*.f64 (cbrt.f64 a) (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))) b)) (/.f64 -1/2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b -9000000000000000415099664899441332350249394662843400180740152269272587870207080318178722916000323338240) (neg.f64 (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b -9000000000000000415099664899441332350249394662843400180740152269272587870207080318178722916000323338240) (/.f64 (neg.f64 b) a) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 a 2)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b -9000000000000000415099664899441332350249394662843400180740152269272587870207080318178722916000323338240) (/.f64 (neg.f64 b) a) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b -9499999999999999875989708498693149500726119967001179789983744) (neg.f64 (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b -9499999999999999875989708498693149500726119967001179789983744) (/.f64 (neg.f64 b) a) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (*.f64 (/.f64 -1/2 a) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))))) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b -7410693711188237/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b -7410693711188237/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 a 2)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b -7410693711188237/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b -7410693711188237/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b -7410693711188237/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (*.f64 (/.f64 -1/2 a) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b 6187104959557631/19958403095347198116563727130368385660674512604354575415025472424372118918689640657849579654926357010893424468441924952439724379883935936607391717982848314203200056729510856765175377214443629871826533567445439239933308104551208703888888552684480441575071209068757560416423584952303440099278848) (neg.f64 (/.f64 b a)) (/.f64 (neg.f64 c) b)) |
(if (<=.f64 b 6187104959557631/19958403095347198116563727130368385660674512604354575415025472424372118918689640657849579654926357010893424468441924952439724379883935936607391717982848314203200056729510856765175377214443629871826533567445439239933308104551208703888888552684480441575071209068757560416423584952303440099278848) (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 c b) |
Compiled 223 to 146 computations (34.5% saved)
| 5× | egg-herbie |
| 978× | times-frac_binary64 |
| 978× | fma-def_binary64 |
| 852× | fma-def_binary64 |
| 852× | fma-def_binary64 |
| 747× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 184 | 2477 |
| 1 | 582 | 2367 |
| 2 | 2117 | 2202 |
| 0 | 15 | 26 |
| 1 | 34 | 22 |
| 2 | 69 | 22 |
| 3 | 161 | 22 |
| 4 | 257 | 22 |
| 5 | 415 | 22 |
| 6 | 730 | 22 |
| 7 | 1322 | 22 |
| 8 | 2632 | 22 |
| 9 | 3914 | 22 |
| 10 | 5780 | 22 |
| 11 | 6909 | 22 |
| 12 | 7751 | 22 |
| 13 | 7839 | 22 |
| 0 | 15 | 26 |
| 1 | 34 | 22 |
| 2 | 69 | 22 |
| 3 | 161 | 22 |
| 4 | 257 | 22 |
| 5 | 415 | 22 |
| 6 | 730 | 22 |
| 7 | 1322 | 22 |
| 8 | 2632 | 22 |
| 9 | 3914 | 22 |
| 10 | 5780 | 22 |
| 11 | 6909 | 22 |
| 12 | 7751 | 22 |
| 13 | 7839 | 22 |
| 0 | 126 | 1936 |
| 1 | 386 | 1845 |
| 2 | 1350 | 1752 |
| 3 | 7712 | 1752 |
| 0 | 11 | 576 |
| 1 | 21 | 576 |
| 2 | 41 | 576 |
| 3 | 74 | 576 |
| 4 | 110 | 576 |
| 5 | 129 | 576 |
| 6 | 137 | 576 |
| 7 | 158 | 576 |
| 8 | 244 | 576 |
| 9 | 344 | 576 |
| 1× | saturated |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
Compiled 816 to 578 computations (29.2% saved)
Compiled 202 to 100 computations (50.5% saved)
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