Time bar (total: 20.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 8.3% | 7.8% | 85.8% | 0.1% | 0% | 6.2% | 0% | 7 |
| 10.8% | 10.1% | 83.5% | 0.1% | 0% | 6.2% | 0% | 8 |
| 18.4% | 16.8% | 74.5% | 0.1% | 0% | 8.6% | 0% | 9 |
| 33.6% | 29.1% | 57.5% | 0.1% | 0% | 13.3% | 0% | 10 |
| 39.6% | 33.6% | 51.4% | 0.1% | 0.8% | 14% | 0% | 11 |
| 47.9% | 39.2% | 42.7% | 0.1% | 1.6% | 16.4% | 0% | 12 |
Compiled 42 to 27 computations (35.7% saved)
| 2.5s | 8256× | body | 256 | valid |
| 258.0ms | 1025× | body | 256 | invalid |
| 114.0ms | 533× | body | 256 | infinite |
| 2× | egg-herbie |
| 676× | fma-def_binary64 |
| 501× | associate-/l*_binary64 |
| 481× | div-sub_binary64 |
| 461× | associate-/r*_binary64 |
| 383× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 232 |
| 1 | 131 | 208 |
| 2 | 321 | 208 |
| 3 | 699 | 200 |
| 4 | 1305 | 200 |
| 5 | 2422 | 200 |
| 6 | 6277 | 200 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 a 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 4 b) c))))) (/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 4 b) c)))) (*.f64 2 b))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 a) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 c) a))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 c) a)))) (*.f64 2 c))) |
(if (>=.f64 c 0) (/.f64 (*.f64 2 b) (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 (*.f64 4 a) b))))) (/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 (*.f64 4 a) b)))) (*.f64 2 a))) |
| Outputs |
|---|
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a))))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 c (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) 2)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (*.f64 2 a))) |
(if (>=.f64 b 0) (*.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))) 2) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (*.f64 2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 c (*.f64 -1/2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) a))) |
(if (>=.f64 b 0) (/.f64 c (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) -1/2)) (*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) a) -1/2)) |
(if (>=.f64 b 0) (*.f64 -2 (/.f64 c (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))))) (*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) a) -1/2)) |
(if (>=.f64 a 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 4 b) c))))) (/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 4 b) c)))) (*.f64 2 b))) |
(if (>=.f64 a 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 c (*.f64 b 4)))))) (/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 c (*.f64 b 4))))) (*.f64 b 2))) |
(if (>=.f64 a 0) (*.f64 (/.f64 2 (-.f64 (neg.f64 a) (sqrt.f64 (fma.f64 a a (*.f64 c (*.f64 b -4)))))) c) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (*.f64 c (*.f64 b -4)))) a) (*.f64 b 2))) |
(if (>=.f64 a 0) (*.f64 (/.f64 c (-.f64 (neg.f64 a) (sqrt.f64 (fma.f64 c (*.f64 b -4) (*.f64 a a))))) 2) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 b -4) (*.f64 a a))) a) (*.f64 b 2))) |
(if (>=.f64 a 0) (*.f64 c (/.f64 -2 (+.f64 a (sqrt.f64 (fma.f64 b (*.f64 c -4) (*.f64 a a)))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b (*.f64 c -4) (*.f64 a a))) a) (*.f64 b 2))) |
(if (>=.f64 a 0) (*.f64 c (/.f64 -2 (+.f64 a (sqrt.f64 (fma.f64 b (*.f64 c -4) (*.f64 a a)))))) (*.f64 -1/2 (/.f64 (-.f64 a (sqrt.f64 (fma.f64 b (*.f64 c -4) (*.f64 a a)))) b))) |
(if (>=.f64 a 0) (*.f64 c (/.f64 -2 (+.f64 a (sqrt.f64 (fma.f64 b (*.f64 c -4) (*.f64 a a)))))) (*.f64 (/.f64 (-.f64 a (sqrt.f64 (fma.f64 b (*.f64 c -4) (*.f64 a a)))) b) -1/2)) |
(if (>=.f64 a 0) (/.f64 (*.f64 c -2) (+.f64 a (sqrt.f64 (fma.f64 b (*.f64 c -4) (*.f64 a a))))) (*.f64 (/.f64 (-.f64 a (sqrt.f64 (fma.f64 b (*.f64 c -4) (*.f64 a a)))) b) -1/2)) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 a) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 c) a))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 c) a)))) (*.f64 2 c))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 a) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 c a)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 c a))))) (*.f64 2 c))) |
(if (>=.f64 b 0) (*.f64 (/.f64 2 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))) a) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (*.f64 2 c))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (*.f64 2 c))) |
(if (>=.f64 b 0) (*.f64 a (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (*.f64 2 c))) |
(if (>=.f64 b 0) (*.f64 a (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) c))) |
(if (>=.f64 b 0) (*.f64 a (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) c) -1/2)) |
(if (>=.f64 b 0) (*.f64 a (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))))) (*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) c) -1/2)) |
(if (>=.f64 c 0) (/.f64 (*.f64 2 b) (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 (*.f64 4 a) b))))) (/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 (*.f64 4 a) b)))) (*.f64 2 a))) |
(if (>=.f64 c 0) (/.f64 2 (/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 b (*.f64 4 a))))) b)) (/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 b (*.f64 4 a))))) (*.f64 2 a))) |
(if (>=.f64 c 0) (*.f64 (/.f64 2 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 c c (*.f64 b (*.f64 a -4)))))) b) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (*.f64 b (*.f64 a -4)))) c) (*.f64 2 a))) |
(if (>=.f64 c 0) (*.f64 b (/.f64 2 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c)))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c))) c) (*.f64 2 a))) |
(if (>=.f64 c 0) (*.f64 b (/.f64 -2 (+.f64 c (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c)))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c))) c) (*.f64 2 a))) |
Compiled 44 to 29 computations (34.1% saved)
| 1× | egg-herbie |
| 1002× | fma-def_binary64 |
| 782× | fma-neg_binary64 |
| 560× | div-sub_binary64 |
| 464× | times-frac_binary64 |
| 401× | cancel-sign-sub-inv_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 58 |
| 1 | 44 | 52 |
| 2 | 99 | 52 |
| 3 | 240 | 50 |
| 4 | 435 | 50 |
| 5 | 775 | 50 |
| 6 | 1488 | 50 |
| 7 | 2868 | 50 |
| 8 | 4319 | 50 |
| 9 | 5600 | 50 |
| 10 | 6531 | 50 |
| 11 | 6959 | 50 |
| 12 | 7072 | 50 |
| 13 | 7869 | 50 |
| 14 | 7925 | 50 |
| 1× | node limit |
| Inputs |
|---|
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
| Outputs |
|---|
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a))))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (*.f64 2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (/.f64 c -1/2) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (*.f64 2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (/.f64 -1/2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) |
Compiled 75 to 47 computations (37.3% 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 |
|---|---|---|
| ▶ | 20.2b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
| ▶ | 20.4b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) |
Compiled 78 to 50 computations (35.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.7b | (fma.f64 b b (*.f64 c (*.f64 a -4))) |
| ✓ | 1.1b | (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) |
| ✓ | 1.4b | (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) |
| ✓ | 22.3b | (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) |
Compiled 140 to 84 computations (40% saved)
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | 0 | (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) |
| 1.0ms | c | @ | 0 | (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) |
| 1.0ms | c | @ | inf | (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) |
| 1.0ms | a | @ | inf | (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) |
| 1.0ms | a | @ | inf | (fma.f64 b b (*.f64 c (*.f64 a -4))) |
| 1× | batch-egg-rewrite |
| 578× | log-prod_binary64 |
| 476× | fma-def_binary64 |
| 410× | pow-prod-down_binary64 |
| 315× | pow2_binary64 |
| 274× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 56 |
| 1 | 240 | 53 |
| 2 | 3276 | 53 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) |
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) |
(fma.f64 b b (*.f64 c (*.f64 a -4))) |
| Outputs |
|---|
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((x exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b 1 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 1 b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/6) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/6) (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 c (*.f64 a -4)) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 c (*.f64 a -4) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 b b) 1) (*.f64 c (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 c (*.f64 a -4) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 2) (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/4) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 6) (pow.f64 (*.f64 c (*.f64 a -4)) 3)) (+.f64 (pow.f64 (*.f64 b b) 2) (-.f64 (*.f64 (pow.f64 (*.f64 c a) 2) 16) (*.f64 (*.f64 b b) (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 b b) 2) (*.f64 (pow.f64 (*.f64 c a) 2) 16)) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -4) (*.f64 c a)) (exp.f64 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 c (*.f64 a -4)))) (exp.f64 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 b b)) (+.f64 1 (expm1.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 1)))))) |
| 1× | egg-herbie |
| 761× | fma-def_binary64 |
| 716× | times-frac_binary64 |
| 680× | associate-*r*_binary64 |
| 644× | associate-*l*_binary64 |
| 441× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 139 | 2375 |
| 1 | 442 | 2283 |
| 2 | 1498 | 2143 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -1 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -2 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 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 -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 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(*.f64 2 b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)))) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))) |
(*.f64 2 b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)))) |
(*.f64 2 b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
| 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 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))) |
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.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 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))) |
(+.f64 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 (*.f64 c -2) (/.f64 b a))))) |
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 c (/.f64 b a))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 -4 (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 (*.f64 (*.f64 c a) 2) b) b) |
(-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))) |
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (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)) |
(fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 c (/.f64 b a))) (neg.f64 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))) |
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (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 (/.f64 (pow.f64 c 3) (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 c (/.f64 b a))) (*.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 -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 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))) |
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.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 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))) |
(+.f64 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 (*.f64 c -2) (/.f64 b a))))) |
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 c (/.f64 b a))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 -4 (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 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))) |
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.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 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))) |
(+.f64 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 (*.f64 c -2) (/.f64 b a))))) |
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 c (/.f64 b a))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 -4 (pow.f64 a 3))))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b)))) b)) |
(-.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b)))) b))) |
(-.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 c -2) (/.f64 b a)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(*.f64 -2 (+.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (/.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 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 c (/.f64 b a)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
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(fma.f64 -1/2 (/.f64 (fma.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 4 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (*.f64 c -2) (/.f64 b a))))) |
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 c (/.f64 b a))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 -4 (pow.f64 a 3))))) |
(*.f64 -2 b) |
(*.f64 b -2) |
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(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2)) |
(fma.f64 b -2 (/.f64 (*.f64 (*.f64 c a) 2) b)) |
(fma.f64 b -2 (*.f64 (/.f64 2 b) (*.f64 c a))) |
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(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 b -2 (*.f64 2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))))) |
(fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 c (/.f64 b a))) (*.f64 b -2)) |
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(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 b -2 (fma.f64 2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (*.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)))))) |
(fma.f64 b -2 (fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 c (/.f64 b a))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4)))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 c -2) (/.f64 b a)) |
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(*.f64 -2 (+.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (/.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 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 c (/.f64 b a)))) |
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(fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 c (/.f64 b a))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 -4 (pow.f64 a 3)))) |
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(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -1/2 (/.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))) b) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))) |
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (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))))) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (*.f64 c -2) (/.f64 b a))))) |
(fma.f64 -1/2 (*.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 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 c (/.f64 b a))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 -4 (pow.f64 a 3))))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 c -2) (/.f64 b a)) |
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(*.f64 -2 (+.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (/.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 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 c (/.f64 b a)))) |
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(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))) |
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (*.f64 c -2) (/.f64 b a)))) |
(fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 c (/.f64 b a))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 -4 (pow.f64 a 3)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -1/2 (/.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))) b) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))) |
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (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))))) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (*.f64 c -2) (/.f64 b a))))) |
(fma.f64 -1/2 (*.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 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 c (/.f64 b a))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 -4 (pow.f64 a 3))))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
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(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) |
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(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) b)) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 b (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))) |
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(+.f64 b (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 2 b) |
(*.f64 b 2) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) |
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2)) |
(fma.f64 b 2 (/.f64 (*.f64 c -2) (/.f64 b 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 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))) |
(fma.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))) (*.f64 b 2)) |
(fma.f64 b 2 (*.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 c (/.f64 b a))))) |
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(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2)))) |
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 b 2 (/.f64 (*.f64 c -2) (/.f64 b 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 c (/.f64 b a)))))) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 c a) 2) b) |
(*.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 c (/.f64 b a)) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)))) |
(*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)))) |
(*.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 c (/.f64 b a)))) |
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(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (/.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 (/.f64 (pow.f64 c 3) (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 c (/.f64 b a))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4))) |
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(fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (*.f64 c c) (*.f64 a a))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (/.f64 (*.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 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))))) |
(fma.f64 1/2 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 c (/.f64 b a))) (*.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 c (/.f64 b a)) (*.f64 b 2)) |
(fma.f64 b 2 (/.f64 (*.f64 c -2) (/.f64 b 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 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))) |
(fma.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))) (*.f64 b 2)) |
(fma.f64 b 2 (*.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 c (/.f64 b a))))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2)))) |
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 b 2 (/.f64 (*.f64 c -2) (/.f64 b 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 c (/.f64 b a)))))) |
(*.f64 2 b) |
(*.f64 b 2) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) |
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2)) |
(fma.f64 b 2 (/.f64 (*.f64 c -2) (/.f64 b 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 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))) |
(fma.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))) (*.f64 b 2)) |
(fma.f64 b 2 (*.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 c (/.f64 b a))))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2)))) |
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 b 2 (/.f64 (*.f64 c -2) (/.f64 b 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 c (/.f64 b a)))))) |
(*.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)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.6b | (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) |
| ✓ | 1.1b | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) |
| ✓ | 1.4b | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) |
| ✓ | 22.3b | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) |
Compiled 148 to 79 computations (46.6% saved)
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | c | @ | 0 | (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) |
| 1.0ms | c | @ | inf | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) |
| 1.0ms | a | @ | inf | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) |
| 1.0ms | b | @ | 0 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) |
| 1.0ms | a | @ | -inf | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) |
| 1× | batch-egg-rewrite |
| 775× | fma-def_binary64 |
| 690× | log-prod_binary64 |
| 416× | fma-neg_binary64 |
| 243× | expm1-udef_binary64 |
| 243× | log1p-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 68 |
| 1 | 301 | 56 |
| 2 | 4360 | 53 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) |
| Outputs |
|---|
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(*.f64 b (sqrt.f64 b)) (sqrt.f64 b) (*.f64 c (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (sqrt.f64 b)) (sqrt.f64 b) (*.f64 (*.f64 c (*.f64 a -4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (sqrt.f64 b)) (sqrt.f64 b) (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 a (*.f64 4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (sqrt.f64 b)) (sqrt.f64 b) (neg.f64 (-.f64 (*.f64 a (*.f64 4 c)) (fma.f64 c (*.f64 a -4) (*.f64 a (*.f64 4 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 c (*.f64 a -4))) (cbrt.f64 (*.f64 c (*.f64 a -4)))) (cbrt.f64 (*.f64 c (*.f64 a -4))) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 a (*.f64 4 c)))) (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 a (*.f64 4 c))))) (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 a (*.f64 4 c)))) (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) (sqrt.f64 (*.f64 c (*.f64 a -4))) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 a (*.f64 4 c)))) (sqrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 a (*.f64 4 c)))) (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 a (*.f64 4 c)))) (sqrt.f64 (*.f64 a (*.f64 4 c))) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 4 c)))) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 4 c)))) (fma.f64 c (*.f64 a -4) (*.f64 a (*.f64 4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 4 c)))) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 4 c)))) (fma.f64 (neg.f64 (*.f64 a c)) 4 (*.f64 a (*.f64 4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 4 c)))) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 4 c)))) (fma.f64 (*.f64 c (*.f64 a -4)) 1 (*.f64 a (*.f64 4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 4 c)))) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 4 c)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a (*.f64 4 c)))) (pow.f64 (cbrt.f64 (*.f64 a (*.f64 4 c))) 2) (*.f64 a (*.f64 4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 4 c)))) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 4 c)))) (*.f64 (fma.f64 c (*.f64 a -4) (*.f64 a (*.f64 4 c))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 4 c)))) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 4 c)))) (+.f64 (fma.f64 c (*.f64 a -4) (*.f64 a (*.f64 4 c))) (fma.f64 c (*.f64 a -4) (*.f64 a (*.f64 4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4 (*.f64 a c) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 a (*.f64 4 c))) 2)) (cbrt.f64 (*.f64 a (*.f64 4 c))) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a -4) 1) c (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a -4) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a -4) (sqrt.f64 c)) (sqrt.f64 c) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (*.f64 c (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (*.f64 (*.f64 c (*.f64 a -4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 a (*.f64 4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (neg.f64 (-.f64 (*.f64 a (*.f64 4 c)) (fma.f64 c (*.f64 a -4) (*.f64 a (*.f64 4 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (fma.f64 c (*.f64 a -4) (*.f64 a (*.f64 4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (fma.f64 (neg.f64 (*.f64 a c)) 4 (*.f64 a (*.f64 4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (fma.f64 (*.f64 c (*.f64 a -4)) 1 (*.f64 a (*.f64 4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a (*.f64 4 c)))) (pow.f64 (cbrt.f64 (*.f64 a (*.f64 4 c))) 2) (*.f64 a (*.f64 4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 (fma.f64 c (*.f64 a -4) (*.f64 a (*.f64 4 c))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (+.f64 (fma.f64 c (*.f64 a -4) (*.f64 a (*.f64 4 c))) (fma.f64 c (*.f64 a -4) (*.f64 a (*.f64 4 c))))))))) |
| 1× | egg-herbie |
| 721× | times-frac_binary64 |
| 708× | fma-def_binary64 |
| 687× | associate-*r*_binary64 |
| 649× | associate-*l*_binary64 |
| 443× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 133 | 2386 |
| 1 | 422 | 2292 |
| 2 | 1481 | 2157 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -1 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -2 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)) |
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))) |
(+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)))) |
(*.f64 -2 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -2 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))) |
(*.f64 -2 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(pow.f64 b 2) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(*.f64 -4 (*.f64 c a)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
| 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 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (/.f64 (sqrt.f64 (/.f64 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 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
(fma.f64 -2 (*.f64 a (/.f64 c b)) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 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 -2 (/.f64 (*.f64 c a) b))))) |
(+.f64 (fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) (*.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))))) |
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) (/.f64 -4 (/.f64 (/.f64 (pow.f64 b 5) (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 (*.f64 c a) b) (neg.f64 b)) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (neg.f64 b)) |
(-.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b))) |
(-.f64 (*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)))) b) |
(-.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 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (*.f64 4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))))) b)) |
(fma.f64 4 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (-.f64 (*.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b)))) b)) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
(fma.f64 -2 (*.f64 a (/.f64 c b)) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 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 -2 (/.f64 (*.f64 c a) b))))) |
(+.f64 (fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) (*.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))))) |
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) (/.f64 -4 (/.f64 (/.f64 (pow.f64 b 5) (pow.f64 c 3)) (pow.f64 a 3))))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(fma.f64 -2 (*.f64 (/.f64 c b) a) b) |
(fma.f64 -2 (*.f64 a (/.f64 c b)) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 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 -2 (/.f64 (*.f64 c a) b))))) |
(+.f64 (fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) (*.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))))) |
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) (/.f64 -4 (/.f64 (/.f64 (pow.f64 b 5) (pow.f64 c 3)) (pow.f64 a 3))))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b)))) b)) |
(-.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b)))) b))) |
(-.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (fma.f64 (sqrt.f64 (*.f64 c a)) (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))) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(/.f64 (*.f64 c (*.f64 a -2)) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(*.f64 -2 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 (*.f64 c a) b))) |
(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)))) |
(*.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 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 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
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(fma.f64 -1/2 (/.f64 (fma.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 4 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (*.f64 -2 (*.f64 (/.f64 c b) a))))) |
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(*.f64 -2 b) |
(*.f64 b -2) |
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(fma.f64 2 (/.f64 (*.f64 c a) b) (*.f64 b -2)) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) |
(fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 a 2))) |
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(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 b -2 (*.f64 2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a))))) |
(fma.f64 b -2 (*.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))))) |
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(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 -2 b (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))))))) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 b -2 (fma.f64 2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (*.f64 4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))))))) |
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(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(/.f64 (*.f64 c (*.f64 a -2)) b) |
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(*.f64 -2 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 (*.f64 c a) b))) |
(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)))) |
(*.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b)))) |
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(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 a 4) b) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6))))) (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (*.f64 -2 (*.f64 (/.f64 c b) a))))) |
(fma.f64 -1/2 (*.f64 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 20) (/.f64 (pow.f64 a 4) b)) (fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) (/.f64 -4 (/.f64 (/.f64 (pow.f64 b 5) (pow.f64 c 3)) (pow.f64 a 3))))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(/.f64 (*.f64 c (*.f64 a -2)) b) |
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(*.f64 -2 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 (*.f64 c a) b))) |
(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)))) |
(*.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b)))) |
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(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (*.f64 -2 (*.f64 (/.f64 c b) a)))) |
(fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) (/.f64 -4 (/.f64 (/.f64 (pow.f64 b 5) (pow.f64 c 3)) (pow.f64 a 3)))) |
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(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 (pow.f64 a 4) (/.f64 b (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (*.f64 -2 (/.f64 (*.f64 c c) (pow.f64 b 3))) 2)))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 a 4) b) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6))))) (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (*.f64 -2 (*.f64 (/.f64 c b) a))))) |
(fma.f64 -1/2 (*.f64 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 20) (/.f64 (pow.f64 a 4) b)) (fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) (/.f64 -4 (/.f64 (/.f64 (pow.f64 b 5) (pow.f64 c 3)) (pow.f64 a 3))))) |
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(neg.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -4))) |
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(fma.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (neg.f64 b)) |
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)) |
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(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (fma.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (neg.f64 b))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) -1/2 (neg.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b -1/2) (/.f64 (sqrt.f64 -4) b))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)) |
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(fma.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (fma.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (neg.f64 b)))) |
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(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b -1/2) (/.f64 (sqrt.f64 -4) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) -1/32)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)) |
(*.f64 -2 b) |
(*.f64 b -2) |
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(fma.f64 2 (/.f64 (*.f64 c a) b) (*.f64 b -2)) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) |
(fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 a 2))) |
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(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 -2 b (*.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a)))))) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 b -2 (*.f64 2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a))))) |
(fma.f64 b -2 (*.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))))) |
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(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 -2 b (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))))))) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 b -2 (fma.f64 2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (*.f64 4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))))))) |
(+.f64 (*.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b)))) (fma.f64 b -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4)))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (*.f64 (/.f64 c b) a)) |
(/.f64 (*.f64 c (*.f64 a -2)) b) |
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(*.f64 -2 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 (*.f64 c a) b))) |
(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)))) |
(*.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b)))) |
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(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (*.f64 -2 (*.f64 (/.f64 c b) a)))) |
(fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) (/.f64 -4 (/.f64 (/.f64 (pow.f64 b 5) (pow.f64 c 3)) (pow.f64 a 3)))) |
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(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (*.f64 c c) (*.f64 a a))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -1/2 (/.f64 (fma.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 4 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (*.f64 -2 (*.f64 (/.f64 c b) a))))) |
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) (/.f64 -4 (/.f64 (/.f64 (pow.f64 b 5) (pow.f64 c 3)) (pow.f64 a 3))))) |
(*.f64 -2 b) |
(*.f64 b -2) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (*.f64 b -2)) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) |
(fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 a 2))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 -2 b (*.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a)))))) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 b -2 (*.f64 2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 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 c a) b)) (+.f64 (*.f64 -2 b) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 -2 b (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))))))) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 b -2 (fma.f64 2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (*.f64 4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))))))) |
(+.f64 (*.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b)))) (fma.f64 b -2 (*.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 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) |
(fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 a 2))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 -2 b (*.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a)))))) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 b -2 (*.f64 2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 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 c a) b)) (+.f64 (*.f64 -2 b) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))) |
(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 -2 b (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))))))) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 b -2 (fma.f64 2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (*.f64 4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))))))) |
(+.f64 (*.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b)))) (fma.f64 b -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4)))) |
(*.f64 -4 (*.f64 c a)) |
(*.f64 (*.f64 c a) -4) |
(*.f64 c (*.f64 a -4)) |
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a))) |
(+.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)) |
Compiled 54426 to 33103 computations (39.2% saved)
17 alts after pruning (17 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1097 | 17 | 1114 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 1099 | 17 | 1116 |
| Status | Error | Program |
|---|---|---|
| 20.4b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (pow.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4) 2)))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) | |
| 23.4b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (*.f64 2 a))) | |
| 20.8b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (fma.f64 -2 (*.f64 a (/.f64 c b)) b))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) | |
| 22.1b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) | |
| 29.2b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (*.f64 (/.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (-.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (*.f64 b b)))) (/.f64 1/2 a))) | |
| ▶ | 20.5b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 3/2)))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) |
| ▶ | 30.7b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (pow.f64 b 2))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) |
| 23.7b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (*.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b))) (/.f64 1/2 a))) | |
| ▶ | 21.0b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
| 22.0b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 a 2))) (*.f64 2 a))) | |
| 27.0b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) | |
| ▶ | 20.3b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
| 21.8b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (*.f64 -1 b)) (*.f64 2 a))) | |
| 29.3b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 3) (*.f64 2 a))) | |
| 20.9b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (fma.f64 b 2 (/.f64 (*.f64 c -2) (/.f64 b a))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) | |
| 22.0b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (*.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a))) | |
| ▶ | 23.5b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (*.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) b) (/.f64 1/2 a))) |
Compiled 1306 to 878 computations (32.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.4b | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) | |
| ✓ | 6.7b | (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 1/4) 2)) |
| 22.3b | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) | |
| ✓ | 23.0b | (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 1/4) |
Compiled 194 to 113 computations (41.8% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 37.0ms | c | @ | -inf | (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 1/4) |
| 4.0ms | a | @ | -inf | (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 1/4) 2)) |
| 2.0ms | a | @ | inf | (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 1/4) 2)) |
| 2.0ms | c | @ | 0 | (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 1/4) |
| 2.0ms | c | @ | -inf | (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 1/4) 2)) |
| 1× | batch-egg-rewrite |
| 828× | prod-diff_binary64 |
| 607× | log-prod_binary64 |
| 289× | fma-def_binary64 |
| 235× | expm1-udef_binary64 |
| 235× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 33 |
| 1 | 308 | 29 |
| 2 | 3774 | 29 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 1/4) |
(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 1/4) 2)) |
| Outputs |
|---|
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1)))))) |
| 1× | egg-herbie |
| 587× | fma-def_binary64 |
| 518× | associate-*r*_binary64 |
| 397× | *-commutative_binary64 |
| 386× | associate-*l*_binary64 |
| 303× | unsub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 461 | 4940 |
| 1 | 1653 | 4369 |
| 2 | 7564 | 4093 |
| 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) (sqrt.f64 b)) (*.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b))))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 c a) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (*.f64 (*.f64 (pow.f64 c 3) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (*.f64 -16/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b))) (+.f64 (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)) (*.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (*.f64 c a))) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 3)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (*.f64 -1/16 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a)))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 2)) (+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (*.f64 -1/16 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (+.f64 (*.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3)))))) (pow.f64 c 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 2)) (+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (*.f64 -1/16 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a)))))) |
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b)) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 c a) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 c a) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (*.f64 (pow.f64 1 1/4) (*.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 a 2)) (sqrt.f64 b))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 c a) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (*.f64 (pow.f64 1 1/4) (*.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (*.f64 -16/3 (/.f64 (pow.f64 c 3) (pow.f64 b 6)))))) (sqrt.f64 b))) (+.f64 (*.f64 (pow.f64 1 1/4) (*.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 a 2)) (sqrt.f64 b))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b))))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (pow.f64 b 2)) (*.f64 c a))) (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2)) (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))))) |
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (+.f64 (*.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (*.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (*.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))) (pow.f64 a 3))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))) (*.f64 c a)))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))) (pow.f64 a 2)) (+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))) (*.f64 c a))))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))) (pow.f64 a 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (*.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (*.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (*.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))) (pow.f64 a 3))) (+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))) (*.f64 c a)))))) |
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)) |
(+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))) |
(+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (*.f64 -1 (*.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 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)))) |
(*.f64 -1 b) |
(*.f64 2 (*.f64 -1 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (*.f64 -1 b))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) b))) (*.f64 -4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) b)))) (pow.f64 b 4))) (*.f64 2 (*.f64 -1 b)))) |
(*.f64 -1 b) |
(+.f64 b (*.f64 -1 b)) |
(+.f64 b (+.f64 (*.f64 -1 b) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 b (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) b))) (*.f64 -2 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) b)))) (pow.f64 b 4))) (+.f64 (*.f64 -1 b) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -2 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (*.f64 -1 (*.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 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (+.f64 (*.f64 -1 (*.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 -1 (*.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 -1 (+.f64 b (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 -1 (+.f64 b (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 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 4)) (pow.f64 a 2))) (*.f64 2 (*.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 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2))))) |
(+.f64 (*.f64 -1 (/.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))) a)) (*.f64 2 (*.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 (*.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 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 4)) (pow.f64 a 2))) (*.f64 2 (*.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 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)))))) |
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))) |
(+.f64 (*.f64 -1 (+.f64 b (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 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (pow.f64 a 2))) (*.f64 2 (*.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 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 b (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 (+.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 (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)))))) (pow.f64 c 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (pow.f64 a 2))) (*.f64 2 (*.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 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 -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 -1 (*.f64 (pow.f64 a 2) (+.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))))))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.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))))) (*.f64 -1 (*.f64 (pow.f64 a 3) (+.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)))))))) |
(*.f64 -1 (+.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 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 -1 (+.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 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 -1 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b)) (*.f64 -1 (/.f64 (+.f64 (*.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)) (pow.f64 c 2))) (*.f64 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 -1/128 (/.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) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (*.f64 -1 (+.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 -1 (/.f64 (+.f64 (*.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)) (pow.f64 c 2))) (*.f64 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 -1/128 (/.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 (/.f64 (+.f64 (*.f64 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 -1/768 (/.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))))))) (*.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))) c))) (pow.f64 a 3)))))) |
(*.f64 -1 (+.f64 b (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 -1 (+.f64 b (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 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b 4)) (pow.f64 c 2)))) (pow.f64 a 2))) (*.f64 -1 (+.f64 b (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 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 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b 2))) (*.f64 c (pow.f64 a 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b 4)) (pow.f64 c 2)))) (pow.f64 a 2))) (+.f64 (*.f64 2 (/.f64 (*.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 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))))))) |
| Outputs |
|---|
(pow.f64 (*.f64 -4 (*.f64 c a)) 1/4) |
(pow.f64 (*.f64 a (*.f64 -4 c)) 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 a (*.f64 -4 c)) 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 -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)) (pow.f64 (*.f64 a (*.f64 -4 c)) 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 (/.f64 -4 (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 a (*.f64 -4 c)) 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 c (*.f64 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 c (*.f64 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 c (*.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))))) |
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(-.f64 (fma.f64 1/8 (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 (/.f64 1 c) a)))) (neg.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b))) (*.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 -1 b) |
(neg.f64 b) |
(*.f64 2 (*.f64 -1 b)) |
(*.f64 b -2) |
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(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2)) |
(*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) |
(*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b))) |
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(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 -1 (/.f64 (*.f64 (*.f64 -2 (*.f64 c c)) (*.f64 b (*.f64 a a))) (pow.f64 b 4)) (*.f64 b -2))) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 b -2 (/.f64 (*.f64 b (*.f64 c (*.f64 c (*.f64 a a)))) (/.f64 (pow.f64 b 4) 2)))) |
(*.f64 -1 b) |
(neg.f64 b) |
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(*.f64 0 b) |
0 |
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(*.f64 -2 b) |
(*.f64 b -2) |
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(*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) |
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(-.f64 (neg.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))))) b) |
(-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2)) |
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(-.f64 (*.f64 1/8 (*.f64 (/.f64 b (/.f64 c b)) (/.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) a))) (+.f64 b (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))))) |
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(fma.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)) (*.f64 -1 (+.f64 (/.f64 (fma.f64 1/256 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (/.f64 (*.f64 a a) (pow.f64 b 4))) (*.f64 (*.f64 2 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512)) (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 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2))))) |
(-.f64 (-.f64 (*.f64 1/8 (*.f64 (/.f64 b (/.f64 c b)) (/.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) a))) (/.f64 (fma.f64 2 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) (*.f64 -3/512 (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))))) (*.f64 1/256 (/.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) (/.f64 (*.f64 a a) (pow.f64 b 4))))) (*.f64 c c))) (+.f64 b (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))))) |
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(-.f64 (-.f64 (*.f64 1/8 (*.f64 (/.f64 (*.f64 b b) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) c))) (/.f64 (fma.f64 2 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 c c)) (*.f64 -3/512 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2))) (/.f64 (*.f64 (*.f64 1/256 (pow.f64 b 4)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)) (*.f64 c c))) (*.f64 a a))) (+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2))) |
(-.f64 (*.f64 1/8 (*.f64 (/.f64 (*.f64 b b) a) (/.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2) c))) (+.f64 (+.f64 b (pow.f64 (*.f64 (pow.f64 (*.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2)) (/.f64 (fma.f64 2 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 c c)) (*.f64 -3/512 (pow.f64 (*.f64 (pow.f64 (*.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2))) (/.f64 (*.f64 (*.f64 1/256 (pow.f64 b 4)) (pow.f64 (*.f64 (pow.f64 (*.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2)) (*.f64 c c))) (*.f64 a a)))) |
(+.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 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 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b 2))) (*.f64 c (pow.f64 a 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b 4)) (pow.f64 c 2)))) (pow.f64 a 2))) (+.f64 (*.f64 2 (/.f64 (*.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 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))))))) |
(fma.f64 1/8 (/.f64 (*.f64 b b) (/.f64 (*.f64 c a) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2))) (fma.f64 1/8 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 c c)) -3/512) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)) (*.f64 b b)) (*.f64 c (pow.f64 a 3))) (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 c c)) -3/512) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)) (*.f64 1/256 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) (/.f64 (*.f64 c c) (pow.f64 b 4))))) (*.f64 a a)) (fma.f64 2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) (/.f64 (pow.f64 a 3) (fma.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) 5/6144)))) (neg.f64 (+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 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 c 4)) (log.f64 (/.f64 -1 a)))) 2) c)) (fma.f64 1/8 (/.f64 (/.f64 (*.f64 (pow.f64 b 4) -3/512) (*.f64 c c)) (/.f64 (/.f64 (*.f64 c (pow.f64 a 3)) (*.f64 b b)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2))) (-.f64 (-.f64 (*.f64 2 (/.f64 (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) 7/8192) (/.f64 (pow.f64 a 3) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)))) (+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2))) (/.f64 (fma.f64 2 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 c c)) (*.f64 -3/512 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2))) (/.f64 (*.f64 (*.f64 1/256 (pow.f64 b 4)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)) (*.f64 c c))) (*.f64 a a))))) |
(fma.f64 1/8 (*.f64 (/.f64 (*.f64 b b) a) (/.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2) c)) (fma.f64 1/8 (/.f64 (/.f64 (*.f64 (pow.f64 b 4) -3/512) (*.f64 c c)) (/.f64 (/.f64 (*.f64 c (pow.f64 a 3)) (*.f64 b b)) (pow.f64 (*.f64 (pow.f64 (*.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2))) (-.f64 (*.f64 2 (/.f64 (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) 7/8192) (/.f64 (pow.f64 a 3) (pow.f64 (*.f64 (pow.f64 (*.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2)))) (+.f64 (+.f64 b (pow.f64 (*.f64 (pow.f64 (*.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2)) (/.f64 (fma.f64 2 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 c c)) (*.f64 -3/512 (pow.f64 (*.f64 (pow.f64 (*.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2))) (/.f64 (*.f64 (*.f64 1/256 (pow.f64 b 4)) (pow.f64 (*.f64 (pow.f64 (*.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2)) (*.f64 c c))) (*.f64 a a)))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| 0.6b | (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) | |
| 1.4b | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) | |
| 22.3b | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) |
Compiled 121 to 62 computations (48.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | inf | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| 2.0ms | b | @ | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| 2.0ms | c | @ | inf | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| 2.0ms | b | @ | inf | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| 1.0ms | a | @ | -inf | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| 1× | batch-egg-rewrite |
| 823× | log-prod_binary64 |
| 734× | fma-def_binary64 |
| 373× | fma-neg_binary64 |
| 278× | expm1-udef_binary64 |
| 278× | log1p-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 26 |
| 1 | 342 | 22 |
| 2 | 4923 | 21 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2)))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))) 2) (cbrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 2)) (*.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))) (sqrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) (*.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (/.f64 1 (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 1/2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 2)) a) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) a) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) 2) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 2)) 2) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 2)) 1) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) 1) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 2)) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (cbrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 2)) (sqrt.f64 (+.f64 a a))) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.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 -4 (*.f64 a c))))) (*.f64 a -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 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 -4 (*.f64 a c))))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))) 1)))))) |
| 1× | egg-herbie |
| 842× | fma-neg_binary64 |
| 658× | associate-*l*_binary64 |
| 656× | associate-*r*_binary64 |
| 613× | times-frac_binary64 |
| 413× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 111 | 716 |
| 1 | 336 | 686 |
| 2 | 1221 | 620 |
| 3 | 7428 | 620 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))))))) |
(*.f64 -1 (/.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 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) |
(*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))) |
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 (/.f64 -1/2 a) b)) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))) |
(fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))) |
(fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 1/4 (/.f64 b (/.f64 (sqrt.f64 -4) b)))))) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))))))) |
(fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))))))) |
(fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4))) (/.f64 -1/2 (/.f64 a b))))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 -1/2 (/.f64 b a) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/64)))) |
(*.f64 -1 (/.f64 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 a (*.f64 c c)) (pow.f64 b 3)) (neg.f64 (/.f64 c b))) |
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) 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 a (*.f64 c c)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))) |
(-.f64 (-.f64 (/.f64 (*.f64 (*.f64 -2 (*.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (/.f64 c b)) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c))) |
(-.f64 (*.f64 -2 (/.f64 (*.f64 a (pow.f64 c 3)) (/.f64 (pow.f64 b 5) a))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(fma.f64 -1 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3)) (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))) (-.f64 (/.f64 (*.f64 (*.f64 -2 (*.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (/.f64 c b))) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c))) |
(fma.f64 (/.f64 -1/4 a) (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (-.f64 (*.f64 -2 (/.f64 (*.f64 a (pow.f64 c 3)) (/.f64 (pow.f64 b 5) a))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))) |
(*.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 (/.f64 c b) (neg.f64 (/.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 a (*.f64 c c)) (pow.f64 b 3)) (+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))) |
(+.f64 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) 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 (*.f64 a (*.f64 c c)) (pow.f64 b 3)) (/.f64 c b)) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (neg.f64 (/.f64 b a)))) |
(+.f64 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 (pow.f64 c 3) 2) (/.f64 (pow.f64 b 5) (*.f64 a a))))) |
(-.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 2 (/.f64 (*.f64 a (pow.f64 c 3)) (/.f64 (pow.f64 b 5) 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 a (*.f64 c c)) (pow.f64 b 3)) (neg.f64 (/.f64 c b))) |
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) 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 a (*.f64 c c)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))) |
(-.f64 (-.f64 (/.f64 (*.f64 (*.f64 -2 (*.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (/.f64 c b)) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c))) |
(-.f64 (*.f64 -2 (/.f64 (*.f64 a (pow.f64 c 3)) (/.f64 (pow.f64 b 5) a))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.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 a (*.f64 c c)) (pow.f64 b 3)) (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 -1/4 (*.f64 (/.f64 (pow.f64 a 3) b) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6))))) (/.f64 (*.f64 (*.f64 -2 (*.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5))) (/.f64 c b)) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c))) |
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 a 3) (/.f64 b (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 20))) (*.f64 -2 (/.f64 (*.f64 a (pow.f64 c 3)) (/.f64 (pow.f64 b 5) a)))) (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 a (*.f64 c c)) (pow.f64 b 3)) (neg.f64 (/.f64 c b))) |
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) 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 a (*.f64 c c)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))) |
(-.f64 (-.f64 (/.f64 (*.f64 (*.f64 -2 (*.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (/.f64 c b)) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c))) |
(-.f64 (*.f64 -2 (/.f64 (*.f64 a (pow.f64 c 3)) (/.f64 (pow.f64 b 5) a))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 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 a (*.f64 c c)) (pow.f64 b 3)) (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (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)) 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)) (-.f64 (/.f64 (*.f64 (*.f64 -2 (*.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (/.f64 c b))) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c))) |
(fma.f64 (/.f64 -1/4 a) (/.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) (/.f64 b (pow.f64 c 4))) (-.f64 (*.f64 -2 (/.f64 (*.f64 a (pow.f64 c 3)) (/.f64 (pow.f64 b 5) a))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.7b | (fma.f64 b b (*.f64 c (*.f64 a -4))) | |
| 1.4b | (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) | |
| 22.3b | (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) | |
| ✓ | 26.9b | (sqrt.f64 (pow.f64 b 2)) |
Compiled 128 to 82 computations (35.9% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | 0 | (sqrt.f64 (pow.f64 b 2)) |
| 1.0ms | b | @ | inf | (sqrt.f64 (pow.f64 b 2)) |
| 0.0ms | b | @ | -inf | (sqrt.f64 (pow.f64 b 2)) |
| 1× | batch-egg-rewrite |
| 323× | pow1_binary64 |
| 315× | add-sqr-sqrt_binary64 |
| 306× | *-un-lft-identity_binary64 |
| 302× | add-log-exp_binary64 |
| 302× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 1 |
| 1 | 103 | 1 |
| 2 | 881 | 1 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (pow.f64 b 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 b)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 b b)))) (log.f64 (cbrt.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 b))) (log.f64 (sqrt.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2) (*.f64 (cbrt.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 b (cbrt.f64 b))) (cbrt.f64 (pow.f64 (cbrt.f64 b) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 b (cbrt.f64 b))) (pow.f64 (pow.f64 (cbrt.f64 b) 5) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 b (cbrt.f64 b))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b 1/6) (*.f64 (pow.f64 b 1/6) (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 b 8))) (cbrt.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b 1/4) (sqrt.f64 (pow.f64 b 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b 1/4) (pow.f64 (pow.f64 b 3/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b 1/4) (*.f64 (pow.f64 b 1/4) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 b 5/2)) (pow.f64 b 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 5)) (pow.f64 b 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 b 3/2)) (pow.f64 b 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 b 3/2) 1/2) (pow.f64 b 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 b) 5) 1/2) (pow.f64 b 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 b 8)) 1/3) (cbrt.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 b 5/2) 1/3) (pow.f64 b 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 b) 3) 1) (+.f64 (*.f64 (+.f64 1 b) (+.f64 1 b)) (+.f64 1 (*.f64 (+.f64 1 b) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 b) (+.f64 1 b)) 1) (+.f64 (+.f64 1 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 b 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b b) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 b 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 b 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 b 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 b) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (*.f64 2 (log.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 b) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 b)) 2)) (cbrt.f64 (log.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 b))) (sqrt.f64 (log.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 b)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1 (+.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x . b)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 b) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 b)) 3)))))) |
| 1× | egg-herbie |
| 3× | sub-neg_binary64 |
| 2× | +-commutative_binary64 |
| 2× | fma-def_binary64 |
| 1× | *-commutative_binary64 |
| 1× | associate-+l-_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 20 |
| 1 | 6 | 20 |
| 2 | 8 | 20 |
| 3 | 9 | 20 |
| 4 | 11 | 20 |
| 5 | 15 | 20 |
| 6 | 19 | 20 |
| 7 | 24 | 20 |
| 1× | saturated |
| Inputs |
|---|
b |
b |
b |
b |
b |
b |
b |
b |
(*.f64 -1 b) |
(*.f64 -1 b) |
(*.f64 -1 b) |
(*.f64 -1 b) |
| Outputs |
|---|
b |
b |
b |
b |
b |
b |
b |
b |
(*.f64 -1 b) |
(neg.f64 b) |
(*.f64 -1 b) |
(neg.f64 b) |
(*.f64 -1 b) |
(neg.f64 b) |
(*.f64 -1 b) |
(neg.f64 b) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.4b | (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) | |
| ✓ | 4.2b | (+.f64 b (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 3/2)) |
| 22.3b | (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) | |
| ✓ | 23.3b | (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) |
Compiled 180 to 103 computations (42.8% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 76.0ms | a | @ | 0 | (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) |
| 33.0ms | c | @ | 0 | (+.f64 b (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 3/2)) |
| 10.0ms | b | @ | inf | (+.f64 b (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 3/2)) |
| 5.0ms | a | @ | 0 | (+.f64 b (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 3/2)) |
| 4.0ms | b | @ | 0 | (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) |
| 1× | batch-egg-rewrite |
| 900× | prod-diff_binary64 |
| 516× | log-prod_binary64 |
| 308× | pow2_binary64 |
| 283× | fma-def_binary64 |
| 209× | expm1-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 32 |
| 1 | 254 | 29 |
| 2 | 3165 | 28 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) |
(+.f64 b (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 3/2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)) 1/6) (pow.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b b) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (/.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 2) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 b 3) (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 3)) (/.f64 1 (-.f64 (fma.f64 b b (fma.f64 (*.f64 c a) -4 (*.f64 b b))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) -4 (*.f64 b b))) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 b b (fma.f64 (*.f64 c a) -4 (*.f64 b b))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (+.f64 (pow.f64 b 3) (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) -4 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 3)) (-.f64 (fma.f64 b b (fma.f64 (*.f64 c a) -4 (*.f64 b b))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 3)) (+.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) -4 (*.f64 b b))) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 b 3) (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 3))) (neg.f64 (-.f64 (fma.f64 b b (fma.f64 (*.f64 c a) -4 (*.f64 b b))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) -4 (*.f64 b b)))) (neg.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)) (*.f64 b b)) (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 b b (fma.f64 (*.f64 c a) -4 (*.f64 b b))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (+.f64 (pow.f64 b 3) (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) -4 (*.f64 b b)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 b) (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -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 c (*.f64 a -4)))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b 1 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b))) (pow.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)) 1/6) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 1 b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)) 1/6) (cbrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)) 1/4) (pow.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)) 1/4) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 b 4))) (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 3/2) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)))) 2) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)))) 3/2) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)) 1/6) 3/2) (pow.f64 (pow.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)) 1/6) 3/2) b))))) |
| 1× | egg-herbie |
| 544× | unswap-sqr_binary64 |
| 330× | associate-+l+_binary64 |
| 329× | distribute-lft-in_binary64 |
| 329× | distribute-rgt-in_binary64 |
| 319× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 220 | 1813 |
| 1 | 721 | 1685 |
| 2 | 2832 | 1513 |
| 3 | 6702 | 1513 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (pow.f64 b 2) 1/3) |
(+.f64 (*.f64 -4/3 (*.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3)) |
(+.f64 (*.f64 -16/9 (*.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (*.f64 -4/3 (*.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3))) |
(+.f64 (*.f64 -16/9 (*.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 c 3) (+.f64 (*.f64 128/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3)))) (*.f64 -64/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3) (pow.f64 a 3))))) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3))) (+.f64 (*.f64 -4/3 (*.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3)))) |
(pow.f64 (pow.f64 b 2) 1/3) |
(+.f64 (*.f64 -4/3 (*.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3)) |
(+.f64 (*.f64 -16/9 (*.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (*.f64 -4/3 (*.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3))) |
(+.f64 (*.f64 -16/9 (*.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (*.f64 -4/3 (*.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3) (*.f64 (pow.f64 a 3) (+.f64 (*.f64 128/9 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3)))) (*.f64 -64/27 (*.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3))))))) (pow.f64 (pow.f64 b 2) 1/3)))) |
(*.f64 (pow.f64 (*.f64 c (*.f64 1 a)) 1/3) (cbrt.f64 -4)) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b 2) (pow.f64 (cbrt.f64 -4) 2)))) (*.f64 (pow.f64 (*.f64 c (*.f64 1 a)) 1/3) (cbrt.f64 -4))) |
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/3) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b 2) (pow.f64 (cbrt.f64 -4) 2)))) (*.f64 (pow.f64 (*.f64 c (*.f64 1 a)) 1/3) (cbrt.f64 -4)))) |
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/3) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b 2) (pow.f64 (cbrt.f64 -4) 2)))) (+.f64 (*.f64 (pow.f64 (*.f64 c (*.f64 1 a)) 1/3) (cbrt.f64 -4)) (*.f64 5/81 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 8) (pow.f64 a 8))) 1/3) (/.f64 (pow.f64 b 6) (pow.f64 (cbrt.f64 -4) 8))))))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) |
(+.f64 b (+.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 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 -4) (*.f64 (pow.f64 b 4) (+.f64 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (*.f64 1/16 (-.f64 (*.f64 -4/3 (*.f64 (/.f64 1 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -4) 6)))) (pow.f64 1 1/3))) (*.f64 8/3 (/.f64 1 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -4) 6))))))))))) (+.f64 b (+.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))))) |
b |
b |
(+.f64 b (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2)) |
(+.f64 (*.f64 -2 (*.f64 (*.f64 c a) (pow.f64 (/.f64 1 b) 1/9))) (+.f64 b (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2))) |
(+.f64 (*.f64 (pow.f64 c 2) (*.f64 (+.f64 (*.f64 3/4 (+.f64 (*.f64 -16/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2))) (*.f64 -32/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2))))) (*.f64 2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2)))) b)) (+.f64 (*.f64 -2 (*.f64 (*.f64 c a) (pow.f64 (/.f64 1 b) 1/9))) (+.f64 b (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2)))) |
(+.f64 (*.f64 (+.f64 (*.f64 -3/2 (*.f64 (*.f64 (+.f64 (*.f64 -16/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2))) (*.f64 -32/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2)))) a) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/9))) (+.f64 (*.f64 1/4 (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 128/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3)))) (*.f64 -64/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3) (pow.f64 a 3)))) (pow.f64 b 2))) (+.f64 (*.f64 -128/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/3) (pow.f64 a 3))) (*.f64 -128/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/3))))))) (*.f64 -4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/3) (pow.f64 a 3))))) (*.f64 (pow.f64 c 3) b)) (+.f64 (*.f64 (pow.f64 c 2) (*.f64 (+.f64 (*.f64 3/4 (+.f64 (*.f64 -16/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2))) (*.f64 -32/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2))))) (*.f64 2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2)))) b)) (+.f64 (*.f64 -2 (*.f64 (*.f64 c a) (pow.f64 (/.f64 1 b) 1/9))) (+.f64 b (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2))))) |
(+.f64 b (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2)) |
(+.f64 (*.f64 -2 (*.f64 (*.f64 c a) (pow.f64 (/.f64 1 b) 1/9))) (+.f64 b (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2))) |
(+.f64 (*.f64 -2 (*.f64 (*.f64 c a) (pow.f64 (/.f64 1 b) 1/9))) (+.f64 (*.f64 (pow.f64 a 2) (*.f64 (+.f64 (*.f64 3/4 (+.f64 (*.f64 -16/9 (*.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9))) (*.f64 -32/9 (*.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9))))) (*.f64 2 (*.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9)))) b)) (+.f64 b (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2)))) |
(+.f64 (*.f64 -2 (*.f64 (*.f64 c a) (pow.f64 (/.f64 1 b) 1/9))) (+.f64 (*.f64 (pow.f64 a 2) (*.f64 (+.f64 (*.f64 3/4 (+.f64 (*.f64 -16/9 (*.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9))) (*.f64 -32/9 (*.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9))))) (*.f64 2 (*.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9)))) b)) (+.f64 b (+.f64 (*.f64 (pow.f64 a 3) (*.f64 b (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/3))) (+.f64 (*.f64 1/4 (+.f64 (*.f64 -128/9 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/3)))) (+.f64 (*.f64 -128/27 (*.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/3))) (*.f64 -2 (/.f64 (+.f64 (*.f64 128/9 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3)))) (*.f64 -64/27 (*.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3)))) (pow.f64 b 2)))))) (*.f64 -3/2 (*.f64 (*.f64 c (+.f64 (*.f64 -16/9 (*.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9))) (*.f64 -32/9 (*.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9))))) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/9))))))) (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2))))) |
| Outputs |
|---|
(pow.f64 (pow.f64 b 2) 1/3) |
(cbrt.f64 (*.f64 b b)) |
(+.f64 (*.f64 -4/3 (*.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3)) |
(fma.f64 -4/3 (*.f64 (*.f64 c a) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (cbrt.f64 (*.f64 b b))) |
(fma.f64 -4/3 (*.f64 a (*.f64 c (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)))) (cbrt.f64 (*.f64 b b))) |
(fma.f64 -4/3 (*.f64 c (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)))) (cbrt.f64 (*.f64 b b))) |
(+.f64 (*.f64 -16/9 (*.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (*.f64 -4/3 (*.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3))) |
(fma.f64 -16/9 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18))) (fma.f64 -4/3 (*.f64 (*.f64 c a) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (cbrt.f64 (*.f64 b b)))) |
(fma.f64 -16/9 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18)))) (fma.f64 -4/3 (*.f64 a (*.f64 c (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)))) (cbrt.f64 (*.f64 b b)))) |
(fma.f64 -16/9 (*.f64 c (*.f64 c (*.f64 (*.f64 a a) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18))))) (fma.f64 -4/3 (*.f64 c (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)))) (cbrt.f64 (*.f64 b b)))) |
(+.f64 (*.f64 -16/9 (*.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 c 3) (+.f64 (*.f64 128/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3)))) (*.f64 -64/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3) (pow.f64 a 3))))) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3))) (+.f64 (*.f64 -4/3 (*.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3)))) |
(fma.f64 -16/9 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 4))) (*.f64 (pow.f64 c 3) (+.f64 (*.f64 128/9 (*.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4))))) (*.f64 (*.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) -64/27)))) (fma.f64 -4/3 (*.f64 (*.f64 c a) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (cbrt.f64 (*.f64 b b))))) |
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b |
b |
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(+.f64 (pow.f64 (cbrt.f64 (*.f64 b b)) 3/2) (fma.f64 (*.f64 (*.f64 c a) -2) (*.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18)) b)) |
(+.f64 (*.f64 (pow.f64 c 2) (*.f64 (+.f64 (*.f64 3/4 (+.f64 (*.f64 -16/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2))) (*.f64 -32/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2))))) (*.f64 2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2)))) b)) (+.f64 (*.f64 -2 (*.f64 (*.f64 c a) (pow.f64 (/.f64 1 b) 1/9))) (+.f64 b (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2)))) |
(fma.f64 (*.f64 c c) (*.f64 b (fma.f64 3/4 (*.f64 (*.f64 (*.f64 a a) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))) -16/3) (*.f64 2 (*.f64 (*.f64 a a) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)))))) (fma.f64 -2 (*.f64 c (*.f64 a (*.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18)))) (+.f64 b (pow.f64 (cbrt.f64 (*.f64 b b)) 3/2)))) |
(fma.f64 (*.f64 c c) (*.f64 b (fma.f64 2 (*.f64 a (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)))) (*.f64 (*.f64 a (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)))) -4))) (+.f64 (pow.f64 (cbrt.f64 (*.f64 b b)) 3/2) (fma.f64 -2 (*.f64 c (*.f64 a (*.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18)))) b))) |
(fma.f64 (*.f64 c c) (*.f64 b (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (*.f64 a a))) -2)) (+.f64 (pow.f64 (cbrt.f64 (*.f64 b b)) 3/2) (fma.f64 (*.f64 (*.f64 c a) -2) (*.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18)) b))) |
(+.f64 (*.f64 (+.f64 (*.f64 -3/2 (*.f64 (*.f64 (+.f64 (*.f64 -16/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2))) (*.f64 -32/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2)))) a) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/9))) (+.f64 (*.f64 1/4 (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 128/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3)))) (*.f64 -64/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3) (pow.f64 a 3)))) (pow.f64 b 2))) (+.f64 (*.f64 -128/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/3) (pow.f64 a 3))) (*.f64 -128/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/3))))))) (*.f64 -4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/3) (pow.f64 a 3))))) (*.f64 (pow.f64 c 3) b)) (+.f64 (*.f64 (pow.f64 c 2) (*.f64 (+.f64 (*.f64 3/4 (+.f64 (*.f64 -16/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2))) (*.f64 -32/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2))))) (*.f64 2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2)))) b)) (+.f64 (*.f64 -2 (*.f64 (*.f64 c a) (pow.f64 (/.f64 1 b) 1/9))) (+.f64 b (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2))))) |
(fma.f64 (fma.f64 -3/2 (*.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))) -16/3) (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18)))) (fma.f64 1/4 (fma.f64 -2 (/.f64 (+.f64 (*.f64 128/9 (*.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4))))) (*.f64 (*.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) -64/27)) (*.f64 b b)) (fma.f64 -128/27 (*.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) (*.f64 -128/9 (*.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10))))))) (*.f64 -4/3 (*.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10))))))) (*.f64 b (pow.f64 c 3)) (fma.f64 (*.f64 c c) (*.f64 b (fma.f64 3/4 (*.f64 (*.f64 (*.f64 a a) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))) -16/3) (*.f64 2 (*.f64 (*.f64 a a) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)))))) (fma.f64 -2 (*.f64 c (*.f64 a (*.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18)))) (+.f64 b (pow.f64 (cbrt.f64 (*.f64 b b)) 3/2))))) |
(fma.f64 (fma.f64 -3/2 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)) (*.f64 (*.f64 a a) -16/3)) (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18)))) (fma.f64 -4/3 (*.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) (*.f64 1/4 (fma.f64 -2 (/.f64 (*.f64 (*.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) 320/27) (*.f64 b b)) (*.f64 (*.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) -512/27))))) (*.f64 b (pow.f64 c 3)) (fma.f64 (*.f64 c c) (*.f64 b (fma.f64 2 (*.f64 a (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)))) (*.f64 (*.f64 a (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)))) -4))) (+.f64 (pow.f64 (cbrt.f64 (*.f64 b b)) 3/2) (fma.f64 -2 (*.f64 c (*.f64 a (*.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18)))) b)))) |
(+.f64 (pow.f64 (cbrt.f64 (*.f64 b b)) 3/2) (+.f64 (*.f64 b (*.f64 (*.f64 c c) (+.f64 (*.f64 (fma.f64 -3/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (*.f64 a a))) (*.f64 -16/3 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18))))) (fma.f64 -4/3 (*.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) (*.f64 1/4 (fma.f64 -2 (*.f64 (/.f64 (*.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) b) (/.f64 320/27 b)) (*.f64 (*.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) -512/27))))) c) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (*.f64 a a))) -2)))) (fma.f64 (*.f64 (*.f64 c a) -2) (*.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18)) b))) |
(+.f64 (pow.f64 (cbrt.f64 (*.f64 b b)) 3/2) (+.f64 (*.f64 b (*.f64 (*.f64 c c) (+.f64 (*.f64 (fma.f64 -3/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (*.f64 a a))) (*.f64 -16/3 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18))))) (fma.f64 -4/3 (*.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) (*.f64 1/4 (fma.f64 -2 (/.f64 (*.f64 (pow.f64 a 3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 4))) 320/27)) (*.f64 b b)) (*.f64 (pow.f64 a 3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 10))) -512/27)))))) c) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (*.f64 a a))) -2)))) (fma.f64 (*.f64 (*.f64 c a) -2) (*.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18)) b))) |
(+.f64 b (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2)) |
(+.f64 b (pow.f64 (cbrt.f64 (*.f64 b b)) 3/2)) |
(+.f64 (*.f64 -2 (*.f64 (*.f64 c a) (pow.f64 (/.f64 1 b) 1/9))) (+.f64 b (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2))) |
(fma.f64 -2 (*.f64 c (*.f64 a (*.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18)))) (+.f64 b (pow.f64 (cbrt.f64 (*.f64 b b)) 3/2))) |
(+.f64 (pow.f64 (cbrt.f64 (*.f64 b b)) 3/2) (fma.f64 -2 (*.f64 c (*.f64 a (*.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18)))) b)) |
(+.f64 (pow.f64 (cbrt.f64 (*.f64 b b)) 3/2) (fma.f64 (*.f64 (*.f64 c a) -2) (*.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18)) b)) |
(+.f64 (*.f64 -2 (*.f64 (*.f64 c a) (pow.f64 (/.f64 1 b) 1/9))) (+.f64 (*.f64 (pow.f64 a 2) (*.f64 (+.f64 (*.f64 3/4 (+.f64 (*.f64 -16/9 (*.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9))) (*.f64 -32/9 (*.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9))))) (*.f64 2 (*.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9)))) b)) (+.f64 b (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2)))) |
(fma.f64 -2 (*.f64 c (*.f64 a (*.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18)))) (fma.f64 (*.f64 a a) (*.f64 b (fma.f64 3/4 (*.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))) -16/3) (*.f64 (*.f64 2 (*.f64 c c)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))))) (+.f64 b (pow.f64 (cbrt.f64 (*.f64 b b)) 3/2)))) |
(fma.f64 -2 (*.f64 c (*.f64 a (*.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18)))) (fma.f64 (*.f64 a a) (*.f64 b (fma.f64 2 (*.f64 (*.f64 (*.f64 c c) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)) (*.f64 (*.f64 (*.f64 (*.f64 c c) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)) -4))) (+.f64 b (pow.f64 (cbrt.f64 (*.f64 b b)) 3/2)))) |
(fma.f64 -2 (*.f64 c (*.f64 a (*.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18)))) (fma.f64 (*.f64 a a) (*.f64 b (*.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))) -2)) (+.f64 b (pow.f64 (cbrt.f64 (*.f64 b b)) 3/2)))) |
(+.f64 (*.f64 -2 (*.f64 (*.f64 c a) (pow.f64 (/.f64 1 b) 1/9))) (+.f64 (*.f64 (pow.f64 a 2) (*.f64 (+.f64 (*.f64 3/4 (+.f64 (*.f64 -16/9 (*.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9))) (*.f64 -32/9 (*.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9))))) (*.f64 2 (*.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9)))) b)) (+.f64 b (+.f64 (*.f64 (pow.f64 a 3) (*.f64 b (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/3))) (+.f64 (*.f64 1/4 (+.f64 (*.f64 -128/9 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/3)))) (+.f64 (*.f64 -128/27 (*.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/3))) (*.f64 -2 (/.f64 (+.f64 (*.f64 128/9 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3)))) (*.f64 -64/27 (*.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3)))) (pow.f64 b 2)))))) (*.f64 -3/2 (*.f64 (*.f64 c (+.f64 (*.f64 -16/9 (*.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9))) (*.f64 -32/9 (*.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9))))) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/9))))))) (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2))))) |
(fma.f64 -2 (*.f64 c (*.f64 a (*.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18)))) (fma.f64 (*.f64 a a) (*.f64 b (fma.f64 3/4 (*.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))) -16/3) (*.f64 (*.f64 2 (*.f64 c c)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))))) (+.f64 b (fma.f64 (pow.f64 a 3) (*.f64 b (fma.f64 -4/3 (*.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) (fma.f64 1/4 (fma.f64 -128/9 (*.f64 (pow.f64 c 3) (*.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 b 10))))) (fma.f64 -128/27 (*.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) (*.f64 -2 (/.f64 (fma.f64 128/9 (*.f64 (*.f64 (pow.f64 c 3) 1) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) (*.f64 -64/27 (*.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))))) (*.f64 b b))))) (*.f64 -3/2 (*.f64 c (*.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))) -16/3) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18)))))))) (pow.f64 (cbrt.f64 (*.f64 b b)) 3/2))))) |
(fma.f64 -2 (*.f64 c (*.f64 a (*.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18)))) (+.f64 (fma.f64 (pow.f64 a 3) (*.f64 b (fma.f64 -4/3 (*.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) (fma.f64 -3/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18)) (*.f64 (*.f64 (*.f64 (*.f64 c c) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)) (*.f64 -16/3 c))) (*.f64 1/4 (fma.f64 -128/9 (*.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) (fma.f64 -2 (/.f64 (fma.f64 128/9 (*.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 4))) (*.f64 (pow.f64 c 3) -64/27))) (*.f64 b b)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 10))) (*.f64 (pow.f64 c 3) -128/27)))))))) (pow.f64 (cbrt.f64 (*.f64 b b)) 3/2)) (fma.f64 (*.f64 a a) (*.f64 b (fma.f64 2 (*.f64 (*.f64 (*.f64 c c) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)) (*.f64 (*.f64 (*.f64 (*.f64 c c) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)) -4))) b))) |
(fma.f64 -2 (*.f64 c (*.f64 a (*.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18)))) (+.f64 (fma.f64 (pow.f64 a 3) (*.f64 b (fma.f64 -4/3 (*.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) (fma.f64 -3/2 (*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)) -16/3)) (*.f64 c (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18)))) (*.f64 1/4 (+.f64 (*.f64 (/.f64 -2 (*.f64 b b)) (*.f64 (*.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) 320/27)) (*.f64 (*.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) -512/27)))))) (pow.f64 (cbrt.f64 (*.f64 b b)) 3/2)) (fma.f64 (*.f64 a a) (*.f64 b (*.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))) -2)) b))) |
(fma.f64 -2 (*.f64 c (*.f64 a (*.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18)))) (+.f64 (fma.f64 (pow.f64 a 3) (*.f64 b (fma.f64 -4/3 (*.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) (fma.f64 -3/2 (*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)) -16/3)) (*.f64 c (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18)))) (*.f64 1/4 (+.f64 (*.f64 (/.f64 -2 (*.f64 b b)) (*.f64 (pow.f64 c 3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 4))) 320/27))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 10))) (*.f64 (pow.f64 c 3) -512/27))))))) (pow.f64 (cbrt.f64 (*.f64 b b)) 3/2)) (fma.f64 (*.f64 a a) (*.f64 b (*.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))) -2)) b))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 3.7b | (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) |
| ✓ | 12.1b | (sqrt.f64 (*.f64 c (*.f64 a -4))) |
| ✓ | 14.5b | (-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) b) |
| 22.3b | (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) |
Compiled 176 to 112 computations (36.4% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 57.0ms | c | @ | inf | (-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) b) |
| 14.0ms | a | @ | inf | (-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) b) |
| 6.0ms | c | @ | -inf | (-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) b) |
| 6.0ms | c | @ | 0 | (-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) b) |
| 5.0ms | a | @ | 0 | (-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) b) |
| 1× | batch-egg-rewrite |
| 566× | prod-diff_binary64 |
| 558× | log-prod_binary64 |
| 359× | pow-prod-down_binary64 |
| 296× | pow2_binary64 |
| 232× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 36 |
| 1 | 238 | 36 |
| 2 | 2917 | 36 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) b) |
(sqrt.f64 (*.f64 c (*.f64 a -4))) |
(exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 792× | associate-*r*_binary64 |
| 681× | associate-*l*_binary64 |
| 571× | times-frac_binary64 |
| 445× | associate-/l*_binary64 |
| 443× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 117 | 1042 |
| 1 | 342 | 884 |
| 2 | 1159 | 829 |
| 3 | 7123 | 823 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))))) |
(*.f64 -2 b) |
(+.f64 (*.f64 -2 b) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))) |
(+.f64 (*.f64 -2 b) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))))) |
(+.f64 (*.f64 -2 b) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
b |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) b) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) b)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) b))) |
(*.f64 -1 b) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 -1 b)) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 b)))) |
b |
b |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) 1/2)) b)) |
(-.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (*.f64 b b) 1/2) (sqrt.f64 -4)))) b) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) 1/2)) b))) |
(-.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))) b) |
(*.f64 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 b (*.f64 a (*.f64 c -4)))) |
(*.f64 (/.f64 c b) (*.f64 -2 a)) |
(+.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 b) (*.f64 a -4)) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3))) |
(+.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) (/.f64 (*.f64 c (*.f64 c (*.f64 (*.f64 a a) -2))) (pow.f64 b 3))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 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)))) (fma.f64 1/16 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 b 5)) (*.f64 1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b)))) |
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3))) (/.f64 1/16 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) -64))))) |
(+.f64 (+.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) (/.f64 (*.f64 c (*.f64 c (*.f64 (*.f64 a a) -2))) (pow.f64 b 3))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 -4 (pow.f64 a 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 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))))) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/16 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (sqrt.f64 -4) 8)) (pow.f64 (*.f64 (*.f64 -1/8 (*.f64 c c)) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) 2)) (pow.f64 b 7)) (*.f64 1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b))))) |
(+.f64 (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) (/.f64 -1/2 (/.f64 (pow.f64 b 7) (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) 2))))) (fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3)))) |
(+.f64 (+.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) (/.f64 (*.f64 c (*.f64 c (*.f64 (*.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 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 -4 (pow.f64 a 3))))) |
(*.f64 -2 b) |
(*.f64 b -2) |
(+.f64 (*.f64 -2 b) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))) |
(fma.f64 -2 b (*.f64 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) -1/2)) |
(fma.f64 b -2 (*.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2)) |
(fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 2 a))) |
(+.f64 (*.f64 -2 b) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))))) |
(fma.f64 -2 b (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (*.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) 1/8))) |
(fma.f64 b -2 (fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (/.f64 (*.f64 (*.f64 1/8 (*.f64 c c)) (*.f64 (*.f64 a a) 16)) (pow.f64 b 3)))) |
(+.f64 (*.f64 (/.f64 c b) (*.f64 2 a)) (fma.f64 b -2 (/.f64 (*.f64 2 (*.f64 a a)) (/.f64 (pow.f64 b 3) (*.f64 c c))))) |
(+.f64 (*.f64 -2 b) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))) |
(fma.f64 -2 b (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 b 5)) -1/16)))) |
(fma.f64 b -2 (fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 (*.f64 a a) 16)) 1/8 (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) -1/16)))) |
(+.f64 (*.f64 (/.f64 c b) (*.f64 2 a)) (+.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 4 (pow.f64 a 3))) (fma.f64 b -2 (/.f64 (*.f64 2 (*.f64 a a)) (/.f64 (pow.f64 b 3) (*.f64 c c)))))) |
(*.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 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) 1/2))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (*.f64 b b) 1/2) (sqrt.f64 -4)))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (*.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 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) 1/2)))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.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 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) 1/2))))) |
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.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 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) b) |
(fma.f64 1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) b) |
(fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) b) |
(+.f64 b (*.f64 (/.f64 c b) (*.f64 -2 a))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) b)) |
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) b)) |
(+.f64 b (fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3)))) |
(+.f64 b (+.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) (/.f64 (*.f64 c (*.f64 c (*.f64 (*.f64 a a) -2))) (pow.f64 b 3)))) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) 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 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 b 5)) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) b))) |
(+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3)) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) (fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) b))) |
(+.f64 b (+.f64 (+.f64 (*.f64 (/.f64 c b) (*.f64 -2 a)) (/.f64 (*.f64 c (*.f64 c (*.f64 (*.f64 a a) -2))) (pow.f64 b 3))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 -4 (pow.f64 a 3))))) |
(*.f64 -1 b) |
(neg.f64 b) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 -1 b)) |
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (neg.f64 b)) |
(-.f64 (*.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2) b) |
(-.f64 (*.f64 (/.f64 c b) (*.f64 2 a)) b) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1 b))) |
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (neg.f64 b))) |
(-.f64 (fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (/.f64 (*.f64 (*.f64 1/8 (*.f64 c c)) (*.f64 (*.f64 a a) 16)) (pow.f64 b 3))) b) |
(+.f64 (*.f64 (/.f64 c b) (*.f64 2 a)) (-.f64 (/.f64 (*.f64 2 (*.f64 a a)) (/.f64 (pow.f64 b 3) (*.f64 c c))) b)) |
(fma.f64 (/.f64 c b) (*.f64 2 a) (-.f64 (/.f64 (*.f64 2 (*.f64 a a)) (/.f64 (pow.f64 b 3) (*.f64 c c))) b)) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 b)))) |
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/16 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 b 5)) (neg.f64 b)))) |
(fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 (*.f64 a a) 16)) 1/8 (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) -1/16)) b)) |
(+.f64 (*.f64 (/.f64 c b) (*.f64 2 a)) (-.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 4 (pow.f64 a 3))) (-.f64 b (/.f64 (*.f64 2 (*.f64 a a)) (/.f64 (pow.f64 b 3) (*.f64 c c)))))) |
(fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 4 (pow.f64 a 3)) (fma.f64 (/.f64 c b) (*.f64 2 a) (-.f64 (/.f64 (*.f64 2 (*.f64 a a)) (/.f64 (pow.f64 b 3) (*.f64 c c))) b))) |
b |
b |
Compiled 88034 to 55461 computations (37% saved)
30 alts after pruning (28 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1717 | 25 | 1742 |
| Fresh | 9 | 3 | 12 |
| Picked | 0 | 1 | 1 |
| Done | 3 | 1 | 4 |
| Total | 1729 | 30 | 1759 |
| Status | Error | Program |
|---|---|---|
| 39.1b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) | |
| ▶ | 20.8b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
| 22.1b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) | |
| 28.9b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))) | |
| ✓ | 20.5b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 3/2)))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) |
| 32.3b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (pow.f64 b 2))))) (*.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a))) | |
| 23.8b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 3/2)))) (*.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b))) (/.f64 1/2 a))) | |
| 35.7b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (+.f64 (fma.f64 b 1 (neg.f64 (*.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/8) (pow.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/8) 3)))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/8)) (pow.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/8) 3) (*.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/8) (pow.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/8) 3))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) | |
| 39.1b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) | |
| 22.1b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 2 a))) (/.f64 1/2 a))) | |
| ▶ | 22.7b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a))) |
| 24.1b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) b) (/.f64 1/2 a))) | |
| 22.0b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 a 2))) (*.f64 2 a))) | |
| 27.8b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (*.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))))) b) (/.f64 1/2 a))) | |
| 27.0b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) | |
| 21.4b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (pow.f64 (cbrt.f64 b) 3)))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) | |
| 27.2b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 b b))) (*.f64 2 a))) | |
| ▶ | 39.9b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
| 22.9b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (pow.f64 (exp.f64 1/2) (*.f64 2 (log.f64 b)))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) | |
| 32.2b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (pow.f64 (*.f64 (cbrt.f64 (*.f64 c a)) (cbrt.f64 -4)) 3/2)))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) | |
| 22.6b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (*.f64 b -2) (*.f64 2 a))) | |
| 22.8b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) b)) (*.f64 2 a))) | |
| ▶ | 32.0b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
| 23.5b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (*.f64 (-.f64 (pow.f64 (exp.f64 1) (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) b) (/.f64 1/2 a))) | |
| ✓ | 23.5b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (*.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) b) (/.f64 1/2 a))) |
| 40.5b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (/.f64 (-.f64 (pow.f64 (+.f64 1 b) 3) 1) (+.f64 (*.f64 (+.f64 1 b) (+.f64 1 b)) (+.f64 1 (*.f64 (+.f64 1 b) 1))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) | |
| 23.5b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (*.f64 2 a))) | |
| 30.0b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (*.f64 2 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))))) -1)) | |
| 22.9b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (exp.f64 (*.f64 (*.f64 (log.f64 b) 3) 1/3))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) | |
| ▶ | 30.7b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (pow.f64 b 2))))) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1) (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) |
Compiled 2285 to 1580 computations (30.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.4b | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) | |
| ✓ | 1.7b | (fma.f64 (/.f64 c b) a (neg.f64 b)) |
| ✓ | 5.2b | (/.f64 (*.f64 2 c) (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b)))) |
| 22.3b | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) |
Compiled 146 to 69 computations (52.7% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | c | @ | inf | (/.f64 (*.f64 2 c) (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b)))) |
| 1.0ms | c | @ | 0 | (/.f64 (*.f64 2 c) (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b)))) |
| 1.0ms | b | @ | -inf | (/.f64 (*.f64 2 c) (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b)))) |
| 1.0ms | c | @ | -inf | (/.f64 (*.f64 2 c) (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b)))) |
| 1.0ms | b | @ | inf | (/.f64 (*.f64 2 c) (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b)))) |
| 1× | batch-egg-rewrite |
| 641× | log-prod_binary64 |
| 338× | pow-prod-down_binary64 |
| 290× | pow2_binary64 |
| 219× | pow-unpow_binary64 |
| 213× | prod-diff_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 26 |
| 1 | 240 | 19 |
| 2 | 3397 | 19 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 2 c) (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b)))) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 748× | associate-*l/_binary64 |
| 711× | associate-/r/_binary64 |
| 517× | unswap-sqr_binary64 |
| 501× | associate-*r/_binary64 |
| 343× | times-frac_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 1462 |
| 1 | 160 | 1384 |
| 2 | 589 | 1344 |
| 3 | 3289 | 1340 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 c b)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(*.f64 -1 (/.f64 c b)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(*.f64 -1 (/.f64 c b)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(*.f64 -1 (/.f64 c b)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(*.f64 -1 b) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(/.f64 (*.f64 c a) b) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(/.f64 (*.f64 c a) b) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(/.f64 (*.f64 c a) b) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(*.f64 -1 b) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(*.f64 -1 b) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(*.f64 -1 b) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(/.f64 (*.f64 c a) b) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(/.f64 (*.f64 c a) b) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
| Outputs |
|---|
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b))) |
(-.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))) |
(*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))) |
(-.f64 (-.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) |
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b)))) |
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 c 3)) (/.f64 (pow.f64 b 5) (*.f64 a a))) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(-.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 7) (pow.f64 c 4))))) |
(-.f64 (*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a))) (*.f64 (*.f64 a a) (+.f64 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))))) |
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3)))))) |
(+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 c 3)) (pow.f64 a 4))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))))) |
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3)))))) |
(+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 c 3)) (pow.f64 a 4))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))))) |
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3)))))) |
(+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 c 3)) (pow.f64 a 4))))) |
(*.f64 -1 (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 (neg.f64 c) b) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b))) |
(-.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))) |
(*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))) |
(-.f64 (-.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) |
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b)))) |
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 c 3)) (/.f64 (pow.f64 b 5) (*.f64 a a))) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(-.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 7) (pow.f64 c 4))))) |
(-.f64 (*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a))) (*.f64 (*.f64 a a) (+.f64 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))))) |
(*.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 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))) |
(*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))) |
(-.f64 (-.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) |
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b)))) |
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 c 3)) (/.f64 (pow.f64 b 5) (*.f64 a a))) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(-.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 7) (pow.f64 c 4))))) |
(-.f64 (*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a))) (*.f64 (*.f64 a a) (+.f64 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))))) |
(*.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 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))) |
(*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))) |
(-.f64 (-.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) |
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b)))) |
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))) |
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 c 3)) (/.f64 (pow.f64 b 5) (*.f64 a a))) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)) |
(-.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 7) (pow.f64 c 4))))) |
(-.f64 (*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a))) (*.f64 (*.f64 a a) (+.f64 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))))) |
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3)))))) |
(+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 c 3)) (pow.f64 a 4))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))))) |
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))) |
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3)))))) |
(+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 c 3)) (pow.f64 a 4))))) |
(*.f64 -1 b) |
(neg.f64 b) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (neg.f64 b) (/.f64 c (/.f64 b a))) |
(-.f64 (*.f64 (/.f64 c b) a) b) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (neg.f64 b) (/.f64 c (/.f64 b a))) |
(-.f64 (*.f64 (/.f64 c b) a) b) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (neg.f64 b) (/.f64 c (/.f64 b a))) |
(-.f64 (*.f64 (/.f64 c b) a) b) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 c (/.f64 a b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (neg.f64 b) (/.f64 c (/.f64 b a))) |
(-.f64 (*.f64 (/.f64 c b) a) b) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (neg.f64 b) (/.f64 c (/.f64 b a))) |
(-.f64 (*.f64 (/.f64 c b) a) b) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (neg.f64 b) (/.f64 c (/.f64 b a))) |
(-.f64 (*.f64 (/.f64 c b) a) b) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 c (/.f64 a b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (neg.f64 b) (/.f64 c (/.f64 b a))) |
(-.f64 (*.f64 (/.f64 c b) a) b) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (neg.f64 b) (/.f64 c (/.f64 b a))) |
(-.f64 (*.f64 (/.f64 c b) a) b) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (neg.f64 b) (/.f64 c (/.f64 b a))) |
(-.f64 (*.f64 (/.f64 c b) a) b) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 c (/.f64 a b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (neg.f64 b) (/.f64 c (/.f64 b a))) |
(-.f64 (*.f64 (/.f64 c b) a) b) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (neg.f64 b) (/.f64 c (/.f64 b a))) |
(-.f64 (*.f64 (/.f64 c b) a) b) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (neg.f64 b) (/.f64 c (/.f64 b a))) |
(-.f64 (*.f64 (/.f64 c b) a) b) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
(*.f64 -1 b) |
(neg.f64 b) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (neg.f64 b) (/.f64 c (/.f64 b a))) |
(-.f64 (*.f64 (/.f64 c b) a) b) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (neg.f64 b) (/.f64 c (/.f64 b a))) |
(-.f64 (*.f64 (/.f64 c b) a) b) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (neg.f64 b) (/.f64 c (/.f64 b a))) |
(-.f64 (*.f64 (/.f64 c b) a) b) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
(*.f64 -1 b) |
(neg.f64 b) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (neg.f64 b) (/.f64 c (/.f64 b a))) |
(-.f64 (*.f64 (/.f64 c b) a) b) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (neg.f64 b) (/.f64 c (/.f64 b a))) |
(-.f64 (*.f64 (/.f64 c b) a) b) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (neg.f64 b) (/.f64 c (/.f64 b a))) |
(-.f64 (*.f64 (/.f64 c b) a) b) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
(*.f64 -1 b) |
(neg.f64 b) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (neg.f64 b) (/.f64 c (/.f64 b a))) |
(-.f64 (*.f64 (/.f64 c b) a) b) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (neg.f64 b) (/.f64 c (/.f64 b a))) |
(-.f64 (*.f64 (/.f64 c b) a) b) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (neg.f64 b) (/.f64 c (/.f64 b a))) |
(-.f64 (*.f64 (/.f64 c b) a) b) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 c (/.f64 a b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (neg.f64 b) (/.f64 c (/.f64 b a))) |
(-.f64 (*.f64 (/.f64 c b) a) b) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (neg.f64 b) (/.f64 c (/.f64 b a))) |
(-.f64 (*.f64 (/.f64 c b) a) b) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (neg.f64 b) (/.f64 c (/.f64 b a))) |
(-.f64 (*.f64 (/.f64 c b) a) b) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
(/.f64 (*.f64 c a) b) |
(/.f64 c (/.f64 b a)) |
(*.f64 (/.f64 c b) a) |
(*.f64 c (/.f64 a b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (neg.f64 b) (/.f64 c (/.f64 b a))) |
(-.f64 (*.f64 (/.f64 c b) a) b) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (neg.f64 b) (/.f64 c (/.f64 b a))) |
(-.f64 (*.f64 (/.f64 c b) a) b) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
(+.f64 (/.f64 (*.f64 c a) b) (*.f64 -1 b)) |
(+.f64 (neg.f64 b) (/.f64 c (/.f64 b a))) |
(-.f64 (*.f64 (/.f64 c b) a) b) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
Compiled 60 to 23 computations (61.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.6b | (+.f64 (*.f64 (*.f64 b b) 1) (*.f64 c (*.f64 a -4))) |
| ✓ | 1.4b | (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1) (*.f64 c (*.f64 a -4)))) b) |
| ✓ | 22.3b | (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1) (*.f64 c (*.f64 a -4)))) |
| 26.9b | (sqrt.f64 (pow.f64 b 2)) |
Compiled 152 to 96 computations (36.8% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | 0 | (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1) (*.f64 c (*.f64 a -4)))) |
| 0.0ms | a | @ | -inf | (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1) (*.f64 c (*.f64 a -4)))) |
| 0.0ms | c | @ | inf | (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1) (*.f64 c (*.f64 a -4)))) |
| 0.0ms | a | @ | inf | (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1) (*.f64 c (*.f64 a -4)))) |
| 0.0ms | c | @ | -inf | (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1) (*.f64 c (*.f64 a -4)))) b) |
| 1× | batch-egg-rewrite |
| 678× | fma-def_binary64 |
| 597× | log-prod_binary64 |
| 326× | pow2_binary64 |
| 263× | fma-neg_binary64 |
| 222× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 46 |
| 1 | 283 | 38 |
| 2 | 3565 | 38 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1) (*.f64 c (*.f64 a -4)))) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1) (*.f64 c (*.f64 a -4)))) b) |
(+.f64 (*.f64 (*.f64 b b) 1) (*.f64 c (*.f64 a -4))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/6) (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 (pow.f64 b 3) (pow.f64 (*.f64 c (*.f64 a -4)) 3/2)) (sqrt.f64 (fma.f64 (*.f64 c (*.f64 a -4)) (-.f64 (*.f64 c (*.f64 a -4)) (*.f64 b b)) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 4) (*.f64 (pow.f64 (*.f64 c a) 2) 16))) (sqrt.f64 (fma.f64 b b (*.f64 (neg.f64 c) (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1)))))) |
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| 1× | egg-herbie |
| 712× | times-frac_binary64 |
| 660× | associate-*r*_binary64 |
| 626× | associate-*l*_binary64 |
| 621× | fma-def_binary64 |
| 437× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 126 | 1761 |
| 1 | 393 | 1681 |
| 2 | 1364 | 1582 |
| 3 | 7811 | 1582 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -1 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
b |
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(*.f64 -2 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 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 -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 -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))) |
| 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 -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 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (/.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 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))) |
(+.f64 b (fma.f64 -2 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (*.f64 (*.f64 c a) -2) b)))) |
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (/.f64 c (/.f64 b a))) (/.f64 -4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))) |
(*.f64 -1 b) |
(neg.f64 b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b)) |
(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b)) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (neg.f64 b)) |
(-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))) |
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (neg.f64 b))) |
(-.f64 (*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)))) b) |
(fma.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (/.f64 c (/.f64 b a))) (neg.f64 b)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))) |
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (neg.f64 b)))) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (-.f64 (fma.f64 2 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)) (*.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)))) b)) |
(fma.f64 4 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (/.f64 c (/.f64 b a))) (neg.f64 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 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (/.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 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))) |
(+.f64 b (fma.f64 -2 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (*.f64 (*.f64 c a) -2) b)))) |
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (/.f64 c (/.f64 b a))) (/.f64 -4 (/.f64 (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 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) |
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (/.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 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))) |
(+.f64 b (fma.f64 -2 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (*.f64 (*.f64 c a) -2) b)))) |
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (/.f64 c (/.f64 b a))) (/.f64 -4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b)) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b)))) b)) |
(-.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b)))) b))) |
(-.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))) b) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(*.f64 -2 (+.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (/.f64 c (/.f64 b a)))) |
(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)))) |
(*.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (/.f64 c (/.f64 b a)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (*.f64 (*.f64 c a) -2) b))) |
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (/.f64 c (/.f64 b a))) (/.f64 -4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -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 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))) |
(fma.f64 -1/2 (/.f64 (fma.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 4 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 -2 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (*.f64 (*.f64 c a) -2) b)))) |
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (/.f64 c (/.f64 b a))) (/.f64 -4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))) |
(*.f64 -2 b) |
(*.f64 b -2) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) |
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2)) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) |
(fma.f64 b -2 (*.f64 (/.f64 2 b) (*.f64 c a))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))) |
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 -2 b (*.f64 2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3))))) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 b -2 (*.f64 2 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3))))) |
(fma.f64 b -2 (*.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (/.f64 c (/.f64 b a))))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))) |
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 -2 b (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)))))) |
(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 b -2 (fma.f64 2 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)) (*.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)))))) |
(+.f64 (*.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (/.f64 c (/.f64 b a)))) (fma.f64 b -2 (*.f64 (/.f64 4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(*.f64 -2 (+.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (/.f64 c (/.f64 b a)))) |
(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)))) |
(*.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (/.f64 c (/.f64 b a)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (*.f64 (*.f64 c a) -2) b))) |
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (/.f64 c (/.f64 b a))) (/.f64 -4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 (pow.f64 c 4) (/.f64 b (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (/.f64 (*.f64 -2 (*.f64 a a)) (pow.f64 b 3)) 2)))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)) (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))))) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (*.f64 (*.f64 c a) -2) b)))) |
(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 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (/.f64 c (/.f64 b a))) (/.f64 -4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))) |
(*.f64 -2 (/.f64 (*.f64 c a) b)) |
(*.f64 -2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 c a) -2) b) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b))) |
(*.f64 -2 (+.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (/.f64 c (/.f64 b a)))) |
(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)))) |
(*.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (/.f64 c (/.f64 b a)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (*.f64 (*.f64 c a) -2) b))) |
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (/.f64 c (/.f64 b a))) (/.f64 -4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 (pow.f64 c 4) (/.f64 b (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (/.f64 (*.f64 -2 (*.f64 a a)) (pow.f64 b 3)) 2)))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)) (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))))) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (*.f64 (*.f64 c a) -2) b)))) |
(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 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (/.f64 c (/.f64 b a))) (/.f64 -4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))) |
(*.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)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.6b | (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) | |
| 1.4b | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) | |
| ✓ | 12.9b | (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) |
| 22.3b | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) |
Compiled 171 to 104 computations (39.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | c | @ | 0 | (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) |
| 25.0ms | a | @ | 0 | (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) |
| 15.0ms | a | @ | -inf | (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) |
| 12.0ms | c | @ | -inf | (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) |
| 6.0ms | a | @ | inf | (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) |
| 1× | batch-egg-rewrite |
| 763× | pow1_binary64 |
| 710× | add-log-exp_binary64 |
| 710× | log1p-expm1-u_binary64 |
| 710× | expm1-log1p-u_binary64 |
| 694× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 172 | 10 |
| 2 | 1966 | 10 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4)) (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (cbrt.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a 1/4) (pow.f64 (*.f64 -4 c) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 1/8) (pow.f64 (*.f64 a (*.f64 -4 c)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/4) (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a (*.f64 -4 c))) 2) 1/4) (pow.f64 (cbrt.f64 (*.f64 a (*.f64 -4 c))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 1/4) (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a -4) 1/4) (pow.f64 c 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/4 (log.f64 (*.f64 a (*.f64 -4 c))))))))) |
| 1× | egg-herbie |
| 697× | fma-neg_binary64 |
| 656× | div-sub_binary64 |
| 532× | fma-def_binary64 |
| 471× | exp-sum_binary64 |
| 365× | exp-diff_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 384 |
| 1 | 128 | 384 |
| 2 | 333 | 312 |
| 3 | 834 | 240 |
| 4 | 2291 | 240 |
| 5 | 5996 | 240 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
| Outputs |
|---|
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) |
(pow.f64 (*.f64 (*.f64 a -4) c) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) |
(pow.f64 (*.f64 (*.f64 a -4) c) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) |
(pow.f64 (*.f64 (*.f64 a -4) c) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) |
(pow.f64 (*.f64 (*.f64 a -4) c) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) |
(pow.f64 (*.f64 (*.f64 a -4) c) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) |
(pow.f64 (*.f64 (*.f64 a -4) c) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) |
(pow.f64 (*.f64 (*.f64 a -4) c) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) |
(pow.f64 (*.f64 (*.f64 a -4) c) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) |
(pow.f64 (*.f64 (*.f64 a -4) c) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) |
(pow.f64 (*.f64 (*.f64 a -4) c) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) |
(pow.f64 (*.f64 (*.f64 a -4) c) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) |
(pow.f64 (*.f64 (*.f64 a -4) c) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) |
(pow.f64 (*.f64 (*.f64 a -4) c) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) |
(pow.f64 (*.f64 (*.f64 a -4) c) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) |
(pow.f64 (*.f64 (*.f64 a -4) c) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) |
(pow.f64 (*.f64 (*.f64 a -4) c) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) |
(pow.f64 (*.f64 (*.f64 a -4) c) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) |
(pow.f64 (*.f64 (*.f64 a -4) c) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) |
(pow.f64 (*.f64 (*.f64 a -4) c) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) |
(pow.f64 (*.f64 (*.f64 a -4) c) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) |
(pow.f64 (*.f64 (*.f64 a -4) c) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) |
(pow.f64 (*.f64 (*.f64 a -4) c) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) |
(pow.f64 (*.f64 (*.f64 a -4) c) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) |
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) |
(*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) |
(pow.f64 (*.f64 (*.f64 a -4) c) 1/4) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (pow.f64 (*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2) |
| 0.6b | (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) | |
| 1.4b | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) | |
| 22.3b | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) |
Compiled 200 to 132 computations (34% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | a | @ | -inf | (pow.f64 (*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2) |
| 10.0ms | c | @ | -inf | (pow.f64 (*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2) |
| 9.0ms | a | @ | 0 | (pow.f64 (*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2) |
| 9.0ms | c | @ | 0 | (pow.f64 (*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2) |
| 9.0ms | a | @ | inf | (pow.f64 (*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2) |
| 1× | batch-egg-rewrite |
| 579× | log-prod_binary64 |
| 335× | pow2_binary64 |
| 319× | pow-prod-down_binary64 |
| 232× | pow-to-exp_binary64 |
| 227× | pow-unpow_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 19 |
| 1 | 300 | 15 |
| 2 | 3247 | 11 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a 4) 1/4) (*.f64 (pow.f64 (neg.f64 c) 1/4) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (neg.f64 c) 1/4) (*.f64 (pow.f64 (*.f64 a 4) 1/4) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (neg.f64 c)) (*.f64 2 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 a)) (sqrt.f64 (neg.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))) (cbrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))) 1/4) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))) 3/2) (pow.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))) (pow.f64 (*.f64 a 4) 1/4)) (pow.f64 (neg.f64 c) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))) (pow.f64 (neg.f64 c) 1/4)) (pow.f64 (*.f64 a 4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))) 5/6) (pow.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))) 1) 1)))))) |
| 1× | egg-herbie |
| 423× | fma-neg_binary64 |
| 379× | exp-sum_binary64 |
| 362× | fma-def_binary64 |
| 357× | distribute-rgt-in_binary64 |
| 295× | unsub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 456 |
| 1 | 154 | 456 |
| 2 | 392 | 384 |
| 3 | 1104 | 216 |
| 4 | 4107 | 216 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) |
| Outputs |
|---|
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(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 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(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 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(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 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(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 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(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 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(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 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(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 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(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 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
Compiled 64067 to 40528 computations (36.7% saved)
31 alts after pruning (27 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1369 | 13 | 1382 |
| Fresh | 9 | 14 | 23 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 4 | 6 |
| Total | 1381 | 31 | 1412 |
| Status | Error | Program |
|---|---|---|
| ✓ | 20.5b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 3/2)))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) |
| ▶ | 21.4b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (pow.f64 (cbrt.f64 b) 3)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1) (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) |
| 47.0b | (if (>=.f64 b 0) (/.f64 b a) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) | |
| 39.8b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (*.f64 (*.f64 2 (sqrt.f64 a)) (sqrt.f64 (neg.f64 c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) | |
| 23.8b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 3/2)))) (*.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b))) (/.f64 1/2 a))) | |
| 32.1b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) 3)) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) | |
| 39.1b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) | |
| ▶ | 22.1b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 2 a))) (/.f64 1/2 a))) |
| ✓ | 22.7b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a))) |
| 24.1b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) b) (/.f64 1/2 a))) | |
| ▶ | 22.0b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 a 2))) (*.f64 2 a))) |
| 27.8b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (*.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))))) b) (/.f64 1/2 a))) | |
| 27.0b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) | |
| 23.5b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (*.f64 2 a))) | |
| 42.2b | (if (>=.f64 b 0) (log.f64 (exp.f64 (/.f64 c (fma.f64 (/.f64 c b) a b)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) | |
| 32.4b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) | |
| ▶ | 22.6b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (*.f64 b -2) (*.f64 2 a))) |
| 22.8b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) b)) (*.f64 2 a))) | |
| 32.3b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (pow.f64 b 2))))) (*.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a))) | |
| 30.0b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (*.f64 2 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))))) -1)) | |
| 35.3b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (pow.f64 (pow.f64 b 3) 1/3)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1) (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) | |
| ✓ | 32.0b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
| 23.5b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (*.f64 (-.f64 (pow.f64 (exp.f64 1) (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) b) (/.f64 1/2 a))) | |
| ✓ | 23.5b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (*.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) b) (/.f64 1/2 a))) |
| 22.9b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (exp.f64 (*.f64 (*.f64 (log.f64 b) 3) 1/3))))) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1) (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) | |
| 35.9b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b)))) (/.f64 (/.f64 (*.f64 c (*.f64 a -2)) b) (*.f64 2 a))) | |
| 28.9b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))) | |
| 27.2b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 b b))) (*.f64 2 a))) | |
| ▶ | 39.1b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 a -4) 1/4) (pow.f64 c 1/4)) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
| 30.7b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (pow.f64 (*.f64 b b) 1/2)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1) (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) | |
| 22.7b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (exp.f64 (log.f64 b))))) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1) (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) |
Compiled 2109 to 1468 computations (30.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.6b | (+.f64 (*.f64 (*.f64 b b) 1) (*.f64 c (*.f64 a -4))) | |
| ✓ | 0.7b | (pow.f64 (cbrt.f64 b) 3) |
| 1.4b | (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1) (*.f64 c (*.f64 a -4)))) b) | |
| 22.3b | (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1) (*.f64 c (*.f64 a -4)))) |
Compiled 151 to 90 computations (40.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | -inf | (pow.f64 (cbrt.f64 b) 3) |
| 1.0ms | b | @ | 0 | (pow.f64 (cbrt.f64 b) 3) |
| 1.0ms | b | @ | inf | (pow.f64 (cbrt.f64 b) 3) |
| 1× | batch-egg-rewrite |
| 347× | pow1_binary64 |
| 344× | add-sqr-sqrt_binary64 |
| 332× | add-log-exp_binary64 |
| 332× | log1p-expm1-u_binary64 |
| 332× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 1 |
| 1 | 107 | 1 |
| 2 | 956 | 1 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 b) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 b)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 b))) (log.f64 (sqrt.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2)) (log.f64 (cbrt.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 b) (cbrt.f64 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 (*.f64 b (cbrt.f64 b))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 b b)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 b b))) (cbrt.f64 (*.f64 (cbrt.f64 b) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b 1/6) (pow.f64 b 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 b) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b 1/4) (sqrt.f64 (pow.f64 b 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b 1/4) (pow.f64 (sqrt.f64 b) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b 5/6) (pow.f64 b 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 b) 8)) (cbrt.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 b) 7)) (cbrt.f64 (cbrt.f64 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 b 3/2)) (pow.f64 b 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 5)) (pow.f64 b 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 b) 3/2) (pow.f64 b 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 b (cbrt.f64 b))) 3/2) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 5) 3/2) (pow.f64 b 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 b) 7) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 b) 8) 1/3) (cbrt.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 b 5/2) 1/3) (pow.f64 b 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 b) 3) 1) (+.f64 (*.f64 (+.f64 1 b) (+.f64 1 b)) (+.f64 1 (*.f64 (+.f64 1 b) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 b)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x . b)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 b)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 b)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 b)) 2)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Compiled 61 to 35 computations (42.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.1b | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) | |
| ✓ | 4.0b | (/.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 a 2))) (*.f64 2 a)) |
| ✓ | 4.5b | (*.f64 (/.f64 c b) (*.f64 a 2)) |
| 22.3b | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) |
Compiled 153 to 83 computations (45.8% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | inf | (*.f64 (/.f64 c b) (*.f64 a 2)) |
| 1.0ms | c | @ | 0 | (*.f64 (/.f64 c b) (*.f64 a 2)) |
| 1.0ms | b | @ | 0 | (/.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 a 2))) (*.f64 2 a)) |
| 1.0ms | b | @ | 0 | (*.f64 (/.f64 c b) (*.f64 a 2)) |
| 1.0ms | c | @ | 0 | (/.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 a 2))) (*.f64 2 a)) |
| 1× | batch-egg-rewrite |
| 635× | log-prod_binary64 |
| 384× | pow-prod-down_binary64 |
| 310× | pow2_binary64 |
| 236× | prod-diff_binary64 |
| 220× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 30 |
| 1 | 259 | 30 |
| 2 | 3172 | 30 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 c b) (*.f64 a 2)) |
(/.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 a 2))) (*.f64 2 a)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c b) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 c b) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) (/.f64 c b))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) (/.f64 c b)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 c b) (+.f64 a a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (/.f64 b (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a a) (/.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 c (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (+.f64 a a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 c (+.f64 a a))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c (+.f64 a a)) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c (+.f64 a a)) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c (+.f64 a a)) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) (+.f64 a a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a a) (neg.f64 c)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 c b) (+.f64 a a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 c b) a) 2) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 c b) (+.f64 a a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) (+.f64 a a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 c b) (+.f64 a a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (*.f64 c (+.f64 a a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 c b) a) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 c b) (+.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 c b) (+.f64 a a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 c b) (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 c b) (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 c b) (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 c b) (+.f64 a a))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a)))) (/.f64 1/2 a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a)))) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a)))) (/.f64 1/2 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a)))) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a))) 2) (cbrt.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a)))) 2) (*.f64 (cbrt.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a)))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a))) (sqrt.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a)))) (*.f64 (sqrt.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a)))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a)))) (/.f64 1 (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) 1/2) (pow.f64 a -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1) (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a)))) 2) a) (/.f64 (cbrt.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a)))) a) (/.f64 (sqrt.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a)))) 2) (/.f64 (sqrt.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a)))) 2) 2) (/.f64 (cbrt.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a)))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a)))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a)))) 1) (/.f64 (sqrt.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a)))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 a a)) -2) (/.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a)))) 2) (cbrt.f64 (*.f64 (*.f64 a a) 4))) (cbrt.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a)))) (cbrt.f64 (*.f64 (*.f64 a a) 4))) (/.f64 (sqrt.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a)))) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 a a) -1/2) (/.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a)))) 2) (sqrt.f64 (+.f64 a a))) (/.f64 (cbrt.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a)))) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) 3) (pow.f64 (+.f64 a a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) 1/2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a)))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) 3) (pow.f64 (+.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a))) 1)))))) |
| 1× | egg-herbie |
| 1224× | fma-def_binary64 |
| 971× | fma-neg_binary64 |
| 650× | div-sub_binary64 |
| 422× | times-frac_binary64 |
| 383× | distribute-rgt-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 728 |
| 1 | 23 | 674 |
| 2 | 47 | 674 |
| 3 | 82 | 674 |
| 4 | 125 | 674 |
| 5 | 176 | 674 |
| 6 | 284 | 674 |
| 7 | 373 | 674 |
| 8 | 730 | 674 |
| 9 | 1680 | 674 |
| 10 | 4009 | 674 |
| 11 | 5844 | 674 |
| 12 | 6675 | 674 |
| 13 | 6804 | 674 |
| 14 | 6864 | 674 |
| 15 | 6864 | 674 |
| 16 | 7910 | 674 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
| Outputs |
|---|
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.1b | (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) | |
| ✓ | 4.2b | (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 2 a))) (/.f64 1/2 a)) |
| ✓ | 4.5b | (*.f64 (/.f64 c b) (*.f64 2 a)) |
| 22.3b | (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) |
Compiled 151 to 88 computations (41.7% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | c | @ | 0 | (*.f64 (/.f64 c b) (*.f64 2 a)) |
| 0.0ms | b | @ | 0 | (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 2 a))) (/.f64 1/2 a)) |
| 0.0ms | c | @ | -inf | (*.f64 (/.f64 c b) (*.f64 2 a)) |
| 0.0ms | a | @ | -inf | (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 2 a))) (/.f64 1/2 a)) |
| 0.0ms | a | @ | inf | (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 2 a))) (/.f64 1/2 a)) |
| 1× | batch-egg-rewrite |
| 682× | log-prod_binary64 |
| 349× | pow2_binary64 |
| 248× | pow1/3_binary64 |
| 248× | prod-diff_binary64 |
| 244× | pow-unpow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 30 |
| 1 | 279 | 30 |
| 2 | 3499 | 30 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 c b) (*.f64 2 a)) |
(*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 2 a))) (/.f64 1/2 a)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 c b) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (*.f64 (/.f64 c b) 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (*.f64 (/.f64 c b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (*.f64 (/.f64 c b) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (*.f64 (/.f64 c b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 c b) (+.f64 a a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (/.f64 b (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a a) (/.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 c (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (+.f64 a a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 c (+.f64 a a))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c (+.f64 a a)) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c (+.f64 a a)) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c (+.f64 a a)) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) (+.f64 a a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a a) (neg.f64 c)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 c b) (+.f64 a a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 c b) (+.f64 a a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 c b) (+.f64 a a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) (+.f64 a a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 c b) (+.f64 a a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 c b) 3) (pow.f64 (+.f64 a a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 a a) 3) (pow.f64 (/.f64 c b) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (*.f64 c (+.f64 a a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 c b) (+.f64 a a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (*.f64 (/.f64 c b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 c b) (+.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 c b) (+.f64 a a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 c b) 3) (pow.f64 (+.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 a a) 3) (pow.f64 (/.f64 c b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 c b) (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 c b) (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 c b) (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 c b) (+.f64 a a))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 b -2) (/.f64 1/2 a)) (*.f64 (*.f64 (/.f64 c b) (+.f64 a a)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 a) (*.f64 b -2)) (*.f64 (/.f64 1/2 a) (*.f64 (/.f64 c b) (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) 1/2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) 1/2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) 1/2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) 1/2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) 1/2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a)))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) -1/2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) 3) (pow.f64 (/.f64 1/2 a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 1/2 a) 3) (pow.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) 3) (pow.f64 (/.f64 1/2 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 a) 3) (pow.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 1/2 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 a) (*.f64 b -2) (*.f64 (/.f64 1/2 a) (*.f64 (/.f64 c b) (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b -2) (/.f64 1/2 a) (*.f64 (*.f64 (/.f64 c b) (+.f64 a a)) (/.f64 1/2 a))))))) |
| 1× | egg-herbie |
| 1224× | fma-def_binary64 |
| 971× | fma-neg_binary64 |
| 650× | div-sub_binary64 |
| 422× | times-frac_binary64 |
| 383× | distribute-rgt-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 728 |
| 1 | 23 | 674 |
| 2 | 47 | 674 |
| 3 | 82 | 674 |
| 4 | 125 | 674 |
| 5 | 176 | 674 |
| 6 | 284 | 674 |
| 7 | 373 | 674 |
| 8 | 730 | 674 |
| 9 | 1680 | 674 |
| 10 | 4009 | 674 |
| 11 | 5844 | 674 |
| 12 | 6675 | 674 |
| 13 | 6804 | 674 |
| 14 | 6864 | 674 |
| 15 | 6864 | 674 |
| 16 | 7910 | 674 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
| Outputs |
|---|
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(*.f64 2 (/.f64 (*.f64 c a) b)) |
(*.f64 2 (/.f64 c (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 2 a) c) b) |
(*.f64 2 (/.f64 a (/.f64 b c))) |
(/.f64 (*.f64 2 a) (/.f64 b c)) |
(/.f64 (*.f64 2 c) (/.f64 b a)) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (pow.f64 (*.f64 (pow.f64 (*.f64 a -4) 1/4) (pow.f64 c 1/4)) 2) |
| 0.6b | (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) | |
| 1.4b | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) | |
| 22.3b | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) |
Compiled 184 to 117 computations (36.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | a | @ | 0 | (pow.f64 (*.f64 (pow.f64 (*.f64 a -4) 1/4) (pow.f64 c 1/4)) 2) |
| 11.0ms | a | @ | inf | (pow.f64 (*.f64 (pow.f64 (*.f64 a -4) 1/4) (pow.f64 c 1/4)) 2) |
| 9.0ms | c | @ | 0 | (pow.f64 (*.f64 (pow.f64 (*.f64 a -4) 1/4) (pow.f64 c 1/4)) 2) |
| 9.0ms | c | @ | -inf | (pow.f64 (*.f64 (pow.f64 (*.f64 a -4) 1/4) (pow.f64 c 1/4)) 2) |
| 9.0ms | a | @ | -inf | (pow.f64 (*.f64 (pow.f64 (*.f64 a -4) 1/4) (pow.f64 c 1/4)) 2) |
| 1× | batch-egg-rewrite |
| 975× | pow1_binary64 |
| 903× | add-log-exp_binary64 |
| 903× | log1p-expm1-u_binary64 |
| 903× | expm1-log1p-u_binary64 |
| 112× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 13 |
| 1 | 241 | 9 |
| 2 | 2672 | 9 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (*.f64 (pow.f64 (*.f64 a -4) 1/4) (pow.f64 c 1/4)) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a -4) 1/4) (*.f64 (pow.f64 c 1/4) (pow.f64 (*.f64 (*.f64 a -4) c) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 c 1/4) (*.f64 (pow.f64 (*.f64 a -4) 1/4) (pow.f64 (*.f64 (*.f64 a -4) c) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 a -4) c) 1/4) (pow.f64 (*.f64 (*.f64 a -4) c) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (*.f64 a -4) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 a -4) c)) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c))) (cbrt.f64 (*.f64 (*.f64 a -4) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 a -4) c) 1/4)) (pow.f64 (*.f64 (*.f64 a -4) c) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 a -4) c) 1/8) (*.f64 (pow.f64 (*.f64 (*.f64 a -4) c) 1/8) (pow.f64 (*.f64 (*.f64 a -4) c) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (*.f64 a -4) c) 1/4) (pow.f64 (*.f64 (*.f64 a -4) c) 1/8)) (pow.f64 (*.f64 (*.f64 a -4) c) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (*.f64 a -4) c) 1/4) (pow.f64 (*.f64 a -4) 1/4)) (pow.f64 c 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (*.f64 a -4) c) 1/4) (pow.f64 c 1/4)) (pow.f64 (*.f64 a -4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (*.f64 a -4) c) 1/4) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c)))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 a -4) c) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 a -4) c))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c)))))))) |
| 1× | egg-herbie |
| 423× | fma-neg_binary64 |
| 379× | exp-sum_binary64 |
| 362× | fma-def_binary64 |
| 357× | distribute-rgt-in_binary64 |
| 295× | unsub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 456 |
| 1 | 154 | 456 |
| 2 | 392 | 384 |
| 3 | 1104 | 216 |
| 4 | 4107 | 216 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) |
| Outputs |
|---|
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(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 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(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 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(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 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(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 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(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 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(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 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(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 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
(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 -4 c)) (log.f64 a))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2) |
(sqrt.f64 (*.f64 (*.f64 a -4) c)) |
Compiled 49925 to 31395 computations (37.1% saved)
32 alts after pruning (25 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1114 | 8 | 1122 |
| Fresh | 5 | 17 | 22 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 6 | 8 |
| Total | 1121 | 32 | 1153 |
| Status | Error | Program |
|---|---|---|
| 22.9b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (exp.f64 (*.f64 (*.f64 (log.f64 b) 3) 1/3))))) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1) (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) | |
| 22.7b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (fma.f64 b 2 (/.f64 (*.f64 c -2) (/.f64 b a))))) (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 2 a))) (/.f64 1/2 a))) | |
| 22.6b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (*.f64 (pow.f64 b 5/6) (pow.f64 b 1/6))))) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1) (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) | |
| 28.9b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))) | |
| 23.0b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))) (/.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 a 2))) (*.f64 2 a))) | |
| ✓ | 20.5b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 3/2)))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) |
| 47.0b | (if (>=.f64 b 0) (/.f64 b a) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) | |
| 22.9b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b b))) (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 2 a))) (/.f64 1/2 a))) | |
| 39.8b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (*.f64 (*.f64 2 (sqrt.f64 a)) (sqrt.f64 (neg.f64 c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) | |
| 23.8b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 3/2)))) (*.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b))) (/.f64 1/2 a))) | |
| 32.1b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) 3)) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) | |
| ✓ | 22.7b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a))) |
| 24.1b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) b) (/.f64 1/2 a))) | |
| ✓ | 22.0b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 a 2))) (*.f64 2 a))) |
| 27.8b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (*.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))))) b) (/.f64 1/2 a))) | |
| 39.0b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) | |
| 27.2b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 b b))) (*.f64 2 a))) | |
| 22.7b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)))) (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 2 a))) (/.f64 1/2 a))) | |
| 22.8b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) b)) (*.f64 2 a))) | |
| ✓ | 22.6b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (*.f64 b -2) (*.f64 2 a))) |
| 30.0b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (*.f64 2 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))))) -1)) | |
| 32.4b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) | |
| 35.3b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (pow.f64 (pow.f64 b 3) 1/3)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1) (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) | |
| ✓ | 32.0b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
| 23.5b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (*.f64 (-.f64 (pow.f64 (exp.f64 1) (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) b) (/.f64 1/2 a))) | |
| ✓ | 23.5b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (*.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) b) (/.f64 1/2 a))) |
| 23.0b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (pow.f64 (cbrt.f64 b) 3)))) (*.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a))) | |
| 35.9b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b)))) (/.f64 (/.f64 (*.f64 c (*.f64 a -2)) b) (*.f64 2 a))) | |
| ✓ | 39.1b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 a -4) 1/4) (pow.f64 c 1/4)) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
| 23.5b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (*.f64 2 a))) | |
| 30.7b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (pow.f64 (*.f64 b b) 1/2)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1) (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) | |
| 22.7b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (exp.f64 (log.f64 b))))) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1) (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) |
Compiled 1146 to 796 computations (30.5% saved)
| Inputs |
|---|
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (*.f64 b -2) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) b)) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 b b))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b)))) (/.f64 (/.f64 (*.f64 c (*.f64 a -2)) b) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (fma.f64 b 2 (/.f64 (*.f64 c -2) (/.f64 b a))))) (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 2 a))) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))) (/.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 a 2))) (*.f64 2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b b))) (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 2 a))) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (/.f64 b a) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (fma.f64 -2 (*.f64 a (/.f64 c b)) b))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 a 2))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (*.f64 -1 b)) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (pow.f64 (*.f64 b b) 1/2)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1) (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (exp.f64 (log.f64 b))))) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1) (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (pow.f64 (cbrt.f64 b) 3)))) (*.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (pow.f64 (cbrt.f64 b) 3)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1) (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (pow.f64 b 2))))) (*.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (pow.f64 b 2))))) (*.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (pow.f64 b 2))))) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1) (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (pow.f64 (pow.f64 b 3) 1/3)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1) (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (*.f64 (pow.f64 b 5/6) (pow.f64 b 1/6))))) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1) (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (exp.f64 (*.f64 (*.f64 (log.f64 b) 3) 1/3))))) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1) (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)))) (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 2 a))) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (*.f64 (*.f64 2 (sqrt.f64 a)) (sqrt.f64 (neg.f64 c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 2 a))) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (pow.f64 (cbrt.f64 b) 3)))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (/.f64 (-.f64 (pow.f64 (+.f64 1 b) 3) 1) (+.f64 (*.f64 (+.f64 1 b) (+.f64 1 b)) (+.f64 1 (*.f64 (+.f64 1 b) 1))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (exp.f64 (*.f64 (*.f64 (log.f64 b) 3) 1/3))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (pow.f64 b 2))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (fma.f64 b 2 (/.f64 (*.f64 c -2) (/.f64 b a))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (*.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (log.f64 (exp.f64 (/.f64 c (fma.f64 (/.f64 c b) a b)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (pow.f64 (exp.f64 1/2) (*.f64 2 (log.f64 b)))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (pow.f64 (*.f64 (cbrt.f64 (*.f64 c a)) (cbrt.f64 -4)) 3/2)))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (*.f64 2 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))))) -1)) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 3/2)))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 a -4) 1/4) (pow.f64 c 1/4)) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (pow.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4) 2)))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (*.f64 (/.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (-.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (*.f64 b b)))) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 3/2)))) (*.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b))) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (*.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b))) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (*.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) b) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 3) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) 3)) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (*.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))))) b) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (*.f64 (-.f64 (pow.f64 (exp.f64 1) (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) b) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (+.f64 (fma.f64 b 1 (neg.f64 (*.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/8) (pow.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/8) 3)))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/8)) (pow.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/8) 3) (*.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/8) (pow.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/8) 3))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) b) (/.f64 1/2 a))) |
| Outputs |
|---|
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (*.f64 b -2) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b)))) (/.f64 (/.f64 (*.f64 c (*.f64 a -2)) b) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a))) |
4 calls:
| 231.0ms | a |
| 220.0ms | c |
| 94.0ms | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
| 81.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 14.6b | 7 | a |
| 6.7b | 3 | b |
| 14.5b | 6 | c |
| 6.6b | 5 | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
Compiled 2315 to 1435 computations (38% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.471267405571223e+263 | 5.44874819450882e+272 |
| 0.0ms | 0.0 | 6.123075028815326e-290 |
| 0.0ms | -1.055441892177664e-285 | -0.0 |
| 0.0ms | -inf | -7.170862135031602e+295 |
Compiled 47 to 31 computations (34% saved)
| Inputs |
|---|
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (*.f64 b -2) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) b)) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 b b))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b)))) (/.f64 (/.f64 (*.f64 c (*.f64 a -2)) b) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (fma.f64 b 2 (/.f64 (*.f64 c -2) (/.f64 b a))))) (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 2 a))) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))) (/.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 a 2))) (*.f64 2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b b))) (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 2 a))) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (/.f64 b a) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (fma.f64 -2 (*.f64 a (/.f64 c b)) b))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 a 2))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (*.f64 -1 b)) (*.f64 2 a))) |
| Outputs |
|---|
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(if (>=.f64 b 0) (/.f64 b a) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (*.f64 -1 b)) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
3 calls:
| 50.0ms | c |
| 27.0ms | b |
| 21.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 19.0b | 2 | a |
| 6.7b | 4 | b |
| 15.3b | 7 | c |
Compiled 437 to 245 computations (43.9% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 292.0ms | 4.529129761675981e+42 | 5.525547602855487e+49 |
| 45.0ms | -2.0422435185591095e-295 | -1.8550972134832282e-297 |
| 78.0ms | -9.323287900999377e+156 | -9.262849067935063e+151 |
Compiled 1604 to 1079 computations (32.7% saved)
| Inputs |
|---|
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (*.f64 b -2) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) b)) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 b b))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b)))) (/.f64 (/.f64 (*.f64 c (*.f64 a -2)) b) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (fma.f64 b 2 (/.f64 (*.f64 c -2) (/.f64 b a))))) (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 2 a))) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))) (/.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 a 2))) (*.f64 2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b b))) (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 2 a))) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (/.f64 b a) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (fma.f64 -2 (*.f64 a (/.f64 c b)) b))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 a 2))) (*.f64 2 a))) |
| Outputs |
|---|
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(if (>=.f64 b 0) (/.f64 b a) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 a 2))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
3 calls:
| 49.0ms | c |
| 29.0ms | b |
| 21.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 19.0b | 2 | a |
| 6.7b | 4 | b |
| 15.4b | 7 | c |
Compiled 406 to 227 computations (44.1% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 291.0ms | 4.529129761675981e+42 | 5.525547602855487e+49 |
| 45.0ms | -2.0422435185591095e-295 | -1.8550972134832282e-297 |
| 81.0ms | -9.323287900999377e+156 | -9.262849067935063e+151 |
Compiled 1668 to 1127 computations (32.4% saved)
| Inputs |
|---|
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (*.f64 b -2) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) b)) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 b b))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b)))) (/.f64 (/.f64 (*.f64 c (*.f64 a -2)) b) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (fma.f64 b 2 (/.f64 (*.f64 c -2) (/.f64 b a))))) (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 2 a))) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))) (/.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 a 2))) (*.f64 2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b b))) (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 2 a))) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (/.f64 b a) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (fma.f64 -2 (*.f64 a (/.f64 c b)) b))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
| Outputs |
|---|
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
3 calls:
| 13.0ms | b |
| 7.0ms | c |
| 7.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 20.8b | 1 | a |
| 16.5b | 2 | b |
| 20.8b | 1 | c |
Compiled 371 to 207 computations (44.2% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 80.0ms | -9.323287900999377e+156 | -9.262849067935063e+151 |
Compiled 596 to 391 computations (34.4% saved)
| Inputs |
|---|
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (*.f64 b -2) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) b)) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 b b))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b)))) (/.f64 (/.f64 (*.f64 c (*.f64 a -2)) b) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (fma.f64 b 2 (/.f64 (*.f64 c -2) (/.f64 b a))))) (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 2 a))) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))) (/.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 a 2))) (*.f64 2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b b))) (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 2 a))) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (/.f64 b a) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
| Outputs |
|---|
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(if (>=.f64 b 0) (/.f64 b a) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b)))) (/.f64 (/.f64 (*.f64 c (*.f64 a -2)) b) (*.f64 2 a))) |
3 calls:
| 18.0ms | b |
| 18.0ms | c |
| 7.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 22.6b | 1 | a |
| 16.5b | 3 | b |
| 21.1b | 3 | c |
Compiled 272 to 156 computations (42.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 70.0ms | 7.70858163847413e-300 | 2.0992633810320494e-275 |
| 80.0ms | -9.323287900999377e+156 | -9.262849067935063e+151 |
Compiled 1166 to 788 computations (32.4% saved)
| Inputs |
|---|
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (*.f64 b -2) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) b)) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 b b))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b)))) (/.f64 (/.f64 (*.f64 c (*.f64 a -2)) b) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (fma.f64 b 2 (/.f64 (*.f64 c -2) (/.f64 b a))))) (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 2 a))) (/.f64 1/2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))) (/.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 a 2))) (*.f64 2 a))) |
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b b))) (*.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 2 a))) (/.f64 1/2 a))) |
| Outputs |
|---|
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))) |
3 calls:
| 16.0ms | b |
| 16.0ms | c |
| 7.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 22.6b | 1 | a |
| 18.2b | 2 | b |
| 21.1b | 3 | c |
Compiled 248 to 144 computations (41.9% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 99.0ms | -5.334471436691383e-109 | -8.227244721503702e-128 |
Compiled 567 to 381 computations (32.8% saved)
Total -13.7b remaining (-60.4%)
Threshold costs -13.7b (-60.4%)
| Inputs |
|---|
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (*.f64 b -2) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) b)) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 b b))) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b)))) (/.f64 (/.f64 (*.f64 c (*.f64 a -2)) b) (*.f64 2 a))) |
| Outputs |
|---|
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (*.f64 b -2) (*.f64 2 a))) |
3 calls:
| 5.0ms | b |
| 4.0ms | a |
| 4.0ms | c |
| Error | Segments | Branch |
|---|---|---|
| 22.6b | 1 | a |
| 22.6b | 1 | b |
| 22.6b | 1 | c |
Compiled 132 to 76 computations (42.4% saved)
| 1× | egg-herbie |
| 21× | *-commutative_binary64 |
| 16× | +-commutative_binary64 |
| 14× | sub-neg_binary64 |
| 10× | neg-sub0_binary64 |
| 10× | neg-mul-1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 1157 |
| 1 | 117 | 1131 |
| 2 | 145 | 1131 |
| 3 | 167 | 1131 |
| 4 | 181 | 1131 |
| 5 | 187 | 1131 |
| 6 | 188 | 1131 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) -inf.0) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (*.f64 b -2) (*.f64 2 a))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) -5357543035931337/5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) 0) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b)))) (/.f64 (/.f64 (*.f64 c (*.f64 a -2)) b) (*.f64 2 a))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) 1000000000000000044140518902895287779286391397382581274563006173283444396083023609274483667691850832398819698877547611031397112968428705874685599733334034192471780653571870045215197739635249206690814463183771858052833032509915549602573975010166573043840478561173504) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a))))))) |
(if (<=.f64 b -93999999999999997835126678061309766239211377374847699373748811810826380406400687209452393193225826621398468308138761731032040236000501004366636296175616) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b -4602094425247529/23010472126237643618935106442099516590310105330461524130999050388189782503104123280986685097268164610703374576623538349780325090408245327679084471121852687920354290358382782115366684108959500047289994617866880738411283287339835248828660878149225886356908865367627046174713247480125403687018925610191900689563648) (if (>=.f64 b 0) (/.f64 b a) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) (if (<=.f64 b 4599999999999999989834771444207669106180096) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (*.f64 -1 b)) (*.f64 2 a))) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)))))) |
(if (<=.f64 b -93999999999999997835126678061309766239211377374847699373748811810826380406400687209452393193225826621398468308138761731032040236000501004366636296175616) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b -4602094425247529/23010472126237643618935106442099516590310105330461524130999050388189782503104123280986685097268164610703374576623538349780325090408245327679084471121852687920354290358382782115366684108959500047289994617866880738411283287339835248828660878149225886356908865367627046174713247480125403687018925610191900689563648) (if (>=.f64 b 0) (/.f64 b a) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) (if (<=.f64 b 4599999999999999989834771444207669106180096) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (fma.f64 b -2 (*.f64 (/.f64 c b) (*.f64 a 2))) (*.f64 2 a))) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)))))) |
(if (<=.f64 b -93999999999999997835126678061309766239211377374847699373748811810826380406400687209452393193225826621398468308138761731032040236000501004366636296175616) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)))) |
(if (<=.f64 b -93999999999999997835126678061309766239211377374847699373748811810826380406400687209452393193225826621398468308138761731032040236000501004366636296175616) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b 2940627887466965/377003575316277553052632783947358479815640765734281611362288441560101396530857955835685848633641608981764089063400052322800846281248691448694119974860434438887084693231743502178167752441192448774799271819130974018130465379775860716808779827596916922071594850183201524526501846714374614008118077197384100897810808832) (if (>=.f64 b 0) (/.f64 b a) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b)))) (/.f64 (/.f64 (*.f64 c (*.f64 a -2)) b) (*.f64 2 a))))) |
(if (<=.f64 b -4146072293388427/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (*.f64 b -2) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a))) |
| Outputs |
|---|
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(if (<=.f64 b -93999999999999997835126678061309766239211377374847699373748811810826380406400687209452393193225826621398468308138761731032040236000501004366636296175616) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b 2940627887466965/377003575316277553052632783947358479815640765734281611362288441560101396530857955835685848633641608981764089063400052322800846281248691448694119974860434438887084693231743502178167752441192448774799271819130974018130465379775860716808779827596916922071594850183201524526501846714374614008118077197384100897810808832) (if (>=.f64 b 0) (/.f64 b a) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a))))) (*.f64 2 a))) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b)))) (/.f64 (/.f64 (*.f64 c (*.f64 a -2)) b) (*.f64 2 a))))) |
(if (<=.f64 b -93999999999999997835126678061309766239211377374847699373748811810826380406400687209452393193225826621398468308138761731032040236000501004366636296175616) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (neg.f64 (+.f64 b b))) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b 2940627887466965/377003575316277553052632783947358479815640765734281611362288441560101396530857955835685848633641608981764089063400052322800846281248691448694119974860434438887084693231743502178167752441192448774799271819130974018130465379775860716808779827596916922071594850183201524526501846714374614008118077197384100897810808832) (if (>=.f64 b 0) (/.f64 b a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a)))) b) (*.f64 2 a))) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b)))) (/.f64 (/.f64 (*.f64 c (*.f64 a -2)) b) (*.f64 2 a))))) |
(if (<=.f64 b -4146072293388427/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)))) |
(if (<=.f64 b -4146072293388427/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (neg.f64 (+.f64 b b))) (-.f64 (/.f64 c b) (/.f64 b a))) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (neg.f64 (+.f64 b b))) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (*.f64 2 a)))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (*.f64 b -2) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (neg.f64 (+.f64 b b))) (/.f64 (*.f64 b -2) (*.f64 2 a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (neg.f64 (+.f64 b b))) (-.f64 (/.f64 c b) (/.f64 b a))) |
Compiled 781 to 474 computations (39.3% saved)
| 4× | egg-herbie |
| 842× | fma-neg_binary64 |
| 721× | times-frac_binary64 |
| 721× | times-frac_binary64 |
| 708× | fma-def_binary64 |
| 708× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 133 | 2386 |
| 1 | 422 | 2292 |
| 2 | 1481 | 2157 |
| 0 | 461 | 4940 |
| 1 | 1653 | 4369 |
| 2 | 7564 | 4093 |
| 0 | 133 | 2386 |
| 1 | 422 | 2292 |
| 2 | 1481 | 2157 |
| 0 | 111 | 716 |
| 1 | 336 | 686 |
| 2 | 1221 | 620 |
| 3 | 7428 | 620 |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
Compiled 176 to 122 computations (30.7% saved)
Compiled 760 to 409 computations (46.2% saved)
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