Time bar (total: 4.9s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.8% | 0.2% | 0 |
| 0% | 99.8% | 0.2% | 1 |
| 0% | 99.8% | 0.2% | 2 |
| 0% | 99.8% | 0.2% | 3 |
| 0% | 99.8% | 0.2% | 4 |
| 0% | 99.8% | 0.2% | 5 |
| 0% | 99.8% | 0.2% | 6 |
| 0% | 99.8% | 0.2% | 7 |
| 0% | 99.8% | 0.2% | 8 |
| 0% | 99.8% | 0.2% | 9 |
| 0% | 99.8% | 0.2% | 10 |
| 0% | 99.8% | 0.2% | 11 |
| 9.7% | 90.1% | 0.2% | 12 |
| 23.4% | 76.4% | 0.2% | 13 |
| 24.8% | 75% | 0.2% | 14 |
Compiled 20 to 12 computations (40% saved)
| 1.1s | 8256× | body | 128 | valid |
| 92.0ms | 510× | body | 128 | invalid |
| 2× | egg-herbie |
| 905× | fma-def_binary64 |
| 532× | associate-/l*_binary64 |
| 381× | fma-neg_binary64 |
| 305× | div-sub_binary64 |
| 300× | cancel-sign-sub-inv_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 140 |
| 1 | 122 | 140 |
| 2 | 243 | 140 |
| 3 | 398 | 140 |
| 4 | 872 | 140 |
| 5 | 1687 | 140 |
| 6 | 3097 | 140 |
| 0 | 4 | 4 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
3 |
| Outputs |
|---|
0 |
1 |
2 |
3 |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (-.f64 (*.f64 b a) (*.f64 c d)) (+.f64 (*.f64 a a) (*.f64 d d))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 d a)) (+.f64 (*.f64 c c) (*.f64 a a))) |
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (+.f64 (*.f64 b b) (*.f64 d d))) |
(/.f64 (-.f64 (*.f64 d c) (*.f64 a b)) (+.f64 (*.f64 c c) (*.f64 b b))) |
(/.f64 (-.f64 (*.f64 b d) (*.f64 a c)) (+.f64 (*.f64 d d) (*.f64 c c))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) |
(/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 c c (*.f64 d d))) |
(/.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (-.f64 (*.f64 c a) (*.f64 b d)) (fma.f64 c c (*.f64 d d))) |
(/.f64 (fma.f64 d (neg.f64 b) (*.f64 c a)) (fma.f64 c c (*.f64 d d))) |
(/.f64 (fma.f64 c a (*.f64 b (neg.f64 d))) (fma.f64 c c (*.f64 d d))) |
(/.f64 (fma.f64 b (neg.f64 d) (*.f64 c a)) (fma.f64 c c (*.f64 d d))) |
(/.f64 (-.f64 (*.f64 b a) (*.f64 c d)) (+.f64 (*.f64 a a) (*.f64 d d))) |
(/.f64 (-.f64 (*.f64 b a) (*.f64 c d)) (fma.f64 a a (*.f64 d d))) |
(/.f64 (-.f64 (*.f64 b a) (*.f64 c d)) (fma.f64 d d (*.f64 a a))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 d a)) (+.f64 (*.f64 c c) (*.f64 a a))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 a a))) |
(/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 a a (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (+.f64 (*.f64 b b) (*.f64 d d))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 b b (*.f64 d d))) |
(/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 b b (*.f64 d d))) |
(/.f64 (-.f64 (*.f64 d c) (*.f64 a b)) (+.f64 (*.f64 c c) (*.f64 b b))) |
(/.f64 (-.f64 (*.f64 c d) (*.f64 b a)) (fma.f64 c c (*.f64 b b))) |
(/.f64 (fma.f64 c d (*.f64 b (neg.f64 a))) (fma.f64 b b (*.f64 c c))) |
(/.f64 (fma.f64 b (neg.f64 a) (*.f64 c d)) (fma.f64 b b (*.f64 c c))) |
(/.f64 (fma.f64 c d (*.f64 a (neg.f64 b))) (fma.f64 b b (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b d) (*.f64 a c)) (+.f64 (*.f64 d d) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b d) (*.f64 c a)) (fma.f64 c c (*.f64 d d))) |
(/.f64 (fma.f64 b d (*.f64 c (neg.f64 a))) (fma.f64 c c (*.f64 d d))) |
(/.f64 (fma.f64 b d (*.f64 a (neg.f64 c))) (fma.f64 c c (*.f64 d d))) |
Compiled 19 to 11 computations (42.1% saved)
| 1× | egg-herbie |
| 832× | fma-def_binary64 |
| 768× | times-frac_binary64 |
| 756× | fma-neg_binary64 |
| 281× | associate-/l*_binary64 |
| 228× | div-sub_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 20 |
| 1 | 25 | 20 |
| 2 | 51 | 20 |
| 3 | 82 | 20 |
| 4 | 166 | 20 |
| 5 | 297 | 20 |
| 6 | 488 | 20 |
| 7 | 738 | 20 |
| 8 | 1199 | 20 |
| 9 | 1800 | 20 |
| 10 | 2769 | 20 |
| 11 | 4928 | 20 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) |
(/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 c c (*.f64 d d))) |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 29.2b | (/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 c c (*.f64 d d))) |
Compiled 69 to 35 computations (49.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 c c (*.f64 d d)) |
| ✓ | 0.2b | (fma.f64 d (neg.f64 a) (*.f64 b c)) |
| ✓ | 28.6b | (/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 c c (*.f64 d d))) |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | c | @ | 0 | (fma.f64 d (neg.f64 a) (*.f64 b c)) |
| 1.0ms | b | @ | 0 | (/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 c c (*.f64 d d))) |
| 1.0ms | a | @ | 0 | (/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 c c (*.f64 d d))) |
| 1.0ms | d | @ | 0 | (/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 c c (*.f64 d d))) |
| 1.0ms | a | @ | inf | (/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 c c (*.f64 d d))) |
| 1× | batch-egg-rewrite |
| 527× | log-prod_binary64 |
| 286× | prod-diff_binary64 |
| 190× | expm1-udef_binary64 |
| 190× | log1p-udef_binary64 |
| 164× | log-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 38 |
| 1 | 226 | 32 |
| 2 | 2902 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 c c (*.f64 d d))) |
(fma.f64 d (neg.f64 a) (*.f64 b c)) |
(fma.f64 c c (*.f64 d d)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2)))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 d a (*.f64 b c)) (/.f64 1 (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2))) 2) (cbrt.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 d a (*.f64 b c))) 2) (*.f64 (cbrt.f64 (fma.f64 d a (*.f64 b c))) (/.f64 1 (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 d a (*.f64 b c))) (hypot.f64 d c)) (/.f64 (sqrt.f64 (fma.f64 d a (*.f64 b c))) (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 d a (*.f64 b c))) (*.f64 (sqrt.f64 (fma.f64 d a (*.f64 b c))) (/.f64 1 (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (hypot.f64 d c) 2)) (fma.f64 d a (*.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 d a (*.f64 b c))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 d a (*.f64 b c))) (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 d a (*.f64 b c))) 1) (/.f64 (sqrt.f64 (fma.f64 d a (*.f64 b c))) (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)) 2)) (/.f64 (fma.f64 d a (*.f64 b c)) (cbrt.f64 (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 d a (*.f64 b c))) 2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)) 2)) (cbrt.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 d a (*.f64 b c))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)) 2)) (/.f64 (sqrt.f64 (fma.f64 d a (*.f64 b c))) (cbrt.f64 (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 (fma.f64 d a (*.f64 b c)) (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 d a (*.f64 b c))) 2) (hypot.f64 d c)) (/.f64 (cbrt.f64 (fma.f64 d a (*.f64 b c))) (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (fma.f64 d a (*.f64 b c))) (hypot.f64 d c)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) (fma.f64 d a (*.f64 b c))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (neg.f64 (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 d a (*.f64 b c)) 3) (pow.f64 (pow.f64 (hypot.f64 d c) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b c) (*.f64 d a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 d a) (*.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 d a (*.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 d a) 1) (*.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 d a (*.f64 b c)))) (cbrt.f64 (exp.f64 (fma.f64 d a (*.f64 b c)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 d a (*.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 d a (*.f64 b c))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 d a (*.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 d a (*.f64 b c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 d a (*.f64 b c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 d a (*.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 d a (*.f64 b c))) (pow.f64 (cbrt.f64 (fma.f64 d a (*.f64 b c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 d a (*.f64 b c))) 2) (cbrt.f64 (fma.f64 d a (*.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 d a (*.f64 b c))) (sqrt.f64 (fma.f64 d a (*.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 d a) 3) (pow.f64 (*.f64 b c) 3)) (fma.f64 (*.f64 d a) (*.f64 d a) (-.f64 (pow.f64 (*.f64 b c) 2) (*.f64 (*.f64 d a) (*.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 d a) (*.f64 d a)) (pow.f64 (*.f64 b c) 2)) (-.f64 (*.f64 d a) (*.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 d a (*.f64 b c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 d a (*.f64 b c)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 d a (*.f64 b c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 d a (*.f64 b c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 d a (*.f64 b c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 d a (*.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 d a (*.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 b c)) (exp.f64 (*.f64 d a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b c))) (exp.f64 (*.f64 d a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 d a)) (+.f64 1 (expm1.f64 (*.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 d a (*.f64 b c)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 d a (*.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 d a (*.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 d a (*.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 d a (*.f64 b c))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 d d) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 c c) (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (hypot.f64 d c) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 c c) 1) (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 d c) 2))) (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 d c) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 d c) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 d c) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 d c) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 d c) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 d c) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 d c) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 d c) (hypot.f64 d c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 c c) 3) (pow.f64 (*.f64 d d) 3)) (fma.f64 (*.f64 c c) (*.f64 c c) (-.f64 (pow.f64 d 4) (*.f64 (*.f64 c c) (*.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (pow.f64 d 4)) (-.f64 (*.f64 c c) (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 d c) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (hypot.f64 d c) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 d c) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 d c) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 d) d) (exp.f64 (*.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 d d))) (exp.f64 (*.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 c c)) (+.f64 1 (expm1.f64 (*.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 d c) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 d c))) 1)))))) |
| 1× | egg-herbie |
| 636× | fma-neg_binary64 |
| 569× | cancel-sign-sub-inv_binary64 |
| 386× | associate-/l/_binary64 |
| 275× | times-frac_binary64 |
| 210× | associate-/l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 1992 |
| 1 | 146 | 1806 |
| 2 | 477 | 1767 |
| 3 | 2349 | 1728 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 b c) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (/.f64 b c)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c)))) |
(*.f64 -1 (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (+.f64 (/.f64 (*.f64 c b) (pow.f64 d 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) b) (pow.f64 d 4)))))) |
(*.f64 -1 (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (+.f64 (/.f64 (*.f64 c b) (pow.f64 d 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) b) (pow.f64 d 4)))))) |
(/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(*.f64 -1 (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (+.f64 (/.f64 (*.f64 c b) (pow.f64 d 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) b) (pow.f64 d 4)))))) |
(/.f64 b c) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (/.f64 b c)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c)))) |
(/.f64 b c) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (/.f64 b c)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c)))) |
(*.f64 c b) |
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d))) |
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d))) |
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d))) |
(*.f64 -1 (*.f64 a d)) |
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d))) |
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d))) |
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d))) |
(*.f64 -1 (*.f64 a d)) |
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d))) |
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d))) |
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d))) |
(*.f64 c b) |
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d))) |
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d))) |
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d))) |
(*.f64 -1 (*.f64 a d)) |
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d))) |
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d))) |
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d))) |
(*.f64 -1 (*.f64 a d)) |
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d))) |
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d))) |
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d))) |
(*.f64 -1 (*.f64 a d)) |
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d))) |
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d))) |
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d))) |
(*.f64 c b) |
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d))) |
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d))) |
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d))) |
(*.f64 c b) |
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d))) |
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d))) |
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d))) |
(*.f64 -1 (*.f64 a d)) |
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d))) |
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d))) |
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d))) |
(*.f64 c b) |
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d))) |
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d))) |
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d))) |
(*.f64 c b) |
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d))) |
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d))) |
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d))) |
(pow.f64 d 2) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
(pow.f64 c 2) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
(pow.f64 c 2) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
(pow.f64 c 2) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
(pow.f64 d 2) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
(pow.f64 d 2) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
| Outputs |
|---|
(/.f64 b c) |
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(pow.f64 d 2) |
(*.f64 d d) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 c c (*.f64 d d)) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 c c (*.f64 d d)) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 c c (*.f64 d d)) |
(pow.f64 d 2) |
(*.f64 d d) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 c c (*.f64 d d)) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 c c (*.f64 d d)) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 c c (*.f64 d d)) |
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 119 | 8 | 127 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 120 | 8 | 128 |
| Status | Error | Program |
|---|---|---|
| ▶ | 29.7b | (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2)))) |
| 40.8b | (*.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 (fma.f64 d a (*.f64 b c)) (hypot.f64 d c))) | |
| 34.1b | (-.f64 (/.f64 b c) (/.f64 d (*.f64 c (/.f64 c a)))) | |
| 45.2b | (*.f64 (pow.f64 (cbrt.f64 (fma.f64 d a (*.f64 b c))) 2) (*.f64 (cbrt.f64 (fma.f64 d a (*.f64 b c))) (/.f64 1 (pow.f64 (hypot.f64 d c) 2)))) | |
| 34.9b | (-.f64 (*.f64 b (/.f64 c (*.f64 d d))) (/.f64 a d)) | |
| 40.6b | (*.f64 d (/.f64 (neg.f64 a) (fma.f64 c c (*.f64 d d)))) | |
| 36.3b | (/.f64 (neg.f64 a) d) | |
| 44.8b | (pow.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) (fma.f64 d a (*.f64 b c))) -1) |
Compiled 2578 to 926 computations (64.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (hypot.f64 d c) 2) |
| ✓ | 0.5b | (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2))) |
| ✓ | 0.8b | (-.f64 (*.f64 d a) (*.f64 b c)) |
| ✓ | 28.7b | (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2)))) |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | c | @ | 0 | (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2))) |
| 3.0ms | b | @ | 0 | (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2)))) |
| 2.0ms | d | @ | inf | (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2)))) |
| 1.0ms | d | @ | inf | (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2))) |
| 1.0ms | c | @ | inf | (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2))) |
| 1× | batch-egg-rewrite |
| 253× | expm1-udef_binary64 |
| 253× | log1p-udef_binary64 |
| 161× | add-sqr-sqrt_binary64 |
| 157× | pow1_binary64 |
| 155× | *-un-lft-identity_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 50 |
| 1 | 327 | 46 |
| 2 | 4259 | 46 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2)))) |
(-.f64 (*.f64 d a) (*.f64 b c)) |
(/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2))) |
(pow.f64 (hypot.f64 d c) 2) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 d a) (*.f64 b (neg.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 d a) (*.f64 (*.f64 b (neg.f64 c)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 d a) (+.f64 (*.f64 b (neg.f64 c)) (fma.f64 (neg.f64 c) b (*.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (fma.f64 (neg.f64 c) b (*.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (fma.f64 (neg.f64 b) c (*.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (fma.f64 (*.f64 b (neg.f64 c)) 1 (*.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 b c))) (pow.f64 (cbrt.f64 (*.f64 b c)) 2) (*.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 b c))) (sqrt.f64 (*.f64 b c)) (*.f64 b 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 1 (hypot.f64 d c)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 1 (hypot.f64 d c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (hypot.f64 d c)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (hypot.f64 d c) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (pow.f64 (hypot.f64 d c) 4))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 1 (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 (/.f64 1 (hypot.f64 d c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 d c) -1) (pow.f64 (hypot.f64 d c) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 d c) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (hypot.f64 d c)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (/.f64 1 (hypot.f64 d c)) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (hypot.f64 d c)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 d c) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 1 (hypot.f64 d c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 1 (hypot.f64 d c)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 (hypot.f64 d c)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 1 (hypot.f64 d c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 1 (hypot.f64 d c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (*.f64 2 (log.f64 (hypot.f64 d c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 d c))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (*.f64 2 (log.f64 (hypot.f64 d c)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (hypot.f64 d c) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 c c) (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 d d) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (pow.f64 (hypot.f64 d c) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 d c) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 d c) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 d c) (hypot.f64 d c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 d c) (neg.f64 (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 d c) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 d c) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2) (cbrt.f64 (pow.f64 (hypot.f64 d c) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2) (*.f64 (cbrt.f64 (hypot.f64 d c)) (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 4)) (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 4)) (neg.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 d c)) (*.f64 (sqrt.f64 (hypot.f64 d c)) (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 (hypot.f64 d c) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (hypot.f64 d c) (sqrt.f64 (hypot.f64 d c))) (sqrt.f64 (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (hypot.f64 d c)) (hypot.f64 d c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (hypot.f64 d c)) (hypot.f64 d c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (hypot.f64 d c) (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)) (cbrt.f64 (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (/.f64 1 (hypot.f64 d c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 d c) (/.f64 1 (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (hypot.f64 d c) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (hypot.f64 d c) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 4)) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (pow.f64 (/.f64 1 (hypot.f64 d c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (pow.f64 (hypot.f64 d c) 2) 3)) (+.f64 0 (+.f64 (pow.f64 (hypot.f64 d c) 4) (*.f64 0 (pow.f64 (hypot.f64 d c) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 d d) 3) (pow.f64 (*.f64 c c) 3)) (+.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (-.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 c c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (hypot.f64 d c) 4)) (pow.f64 (hypot.f64 d c) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))) (-.f64 (*.f64 d d) (*.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (hypot.f64 d c) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 d c) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 d c) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 d d (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 d c))) 1)))))) |
| 1× | egg-herbie |
| 819× | fma-def_binary64 |
| 550× | associate-/l*_binary64 |
| 506× | associate-/r*_binary64 |
| 130× | +-commutative_binary64 |
| 123× | distribute-rgt-neg-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 183 | 3007 |
| 1 | 587 | 2583 |
| 2 | 2171 | 2493 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 b c) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (/.f64 b c)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c)))) |
(*.f64 -1 (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (+.f64 (/.f64 (*.f64 c b) (pow.f64 d 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) b) (pow.f64 d 4)))))) |
(*.f64 -1 (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (+.f64 (/.f64 (*.f64 c b) (pow.f64 d 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) b) (pow.f64 d 4)))))) |
(/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(*.f64 -1 (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (+.f64 (/.f64 (*.f64 c b) (pow.f64 d 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) b) (pow.f64 d 4)))))) |
(/.f64 b c) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (/.f64 b c)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c)))) |
(/.f64 b c) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (/.f64 b c)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c)))) |
(*.f64 -1 (*.f64 c b)) |
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b))) |
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b))) |
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b))) |
(*.f64 a d) |
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b))) |
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b))) |
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b))) |
(*.f64 a d) |
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b))) |
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b))) |
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b))) |
(*.f64 -1 (*.f64 c b)) |
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b))) |
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b))) |
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b))) |
(*.f64 a d) |
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b))) |
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b))) |
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b))) |
(*.f64 a d) |
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b))) |
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b))) |
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b))) |
(*.f64 a d) |
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b))) |
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b))) |
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b))) |
(*.f64 -1 (*.f64 c b)) |
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b))) |
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b))) |
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b))) |
(*.f64 -1 (*.f64 c b)) |
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b))) |
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b))) |
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b))) |
(*.f64 a d) |
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b))) |
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b))) |
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b))) |
(*.f64 -1 (*.f64 c b)) |
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b))) |
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b))) |
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b))) |
(*.f64 -1 (*.f64 c b)) |
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b))) |
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b))) |
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b))) |
(/.f64 -1 (pow.f64 c 2)) |
(-.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 4)) (/.f64 1 (pow.f64 c 2))) |
(-.f64 (+.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 4)) (*.f64 -1 (/.f64 (pow.f64 d 4) (pow.f64 c 6)))) (/.f64 1 (pow.f64 c 2))) |
(-.f64 (+.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 4)) (+.f64 (/.f64 (pow.f64 d 6) (pow.f64 c 8)) (*.f64 -1 (/.f64 (pow.f64 d 4) (pow.f64 c 6))))) (/.f64 1 (pow.f64 c 2))) |
(/.f64 -1 (pow.f64 d 2)) |
(-.f64 (/.f64 (pow.f64 c 2) (pow.f64 d 4)) (/.f64 1 (pow.f64 d 2))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 c 4) (*.f64 -1 (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 1/4 (pow.f64 c 4))))) (pow.f64 d 6))) (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (/.f64 1 (pow.f64 d 2))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 c 4) (*.f64 -1 (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 1/4 (pow.f64 c 4))))) (pow.f64 d 6))) (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 d 4)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 c 2) (+.f64 (pow.f64 c 4) (*.f64 -1 (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 1/4 (pow.f64 c 4))))))) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/8 (pow.f64 c 6)) (*.f64 1/8 (pow.f64 c 6)))) (*.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 1/4 (pow.f64 c 4)))))) (pow.f64 d 8))))) (/.f64 1 (pow.f64 d 2))) |
(/.f64 -1 (pow.f64 d 2)) |
(-.f64 (/.f64 (pow.f64 c 2) (pow.f64 d 4)) (/.f64 1 (pow.f64 d 2))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 c 4) (*.f64 -1 (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 1/4 (pow.f64 c 4))))) (pow.f64 d 6))) (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (/.f64 1 (pow.f64 d 2))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 c 4) (*.f64 -1 (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 1/4 (pow.f64 c 4))))) (pow.f64 d 6))) (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 d 4)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 c 2) (+.f64 (pow.f64 c 4) (*.f64 -1 (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 1/4 (pow.f64 c 4))))))) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/8 (pow.f64 c 6)) (*.f64 1/8 (pow.f64 c 6)))) (*.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 1/4 (pow.f64 c 4)))))) (pow.f64 d 8))))) (/.f64 1 (pow.f64 d 2))) |
(/.f64 -1 (pow.f64 d 2)) |
(-.f64 (/.f64 (pow.f64 c 2) (pow.f64 d 4)) (/.f64 1 (pow.f64 d 2))) |
(-.f64 (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 d 4)) (*.f64 -1 (/.f64 (pow.f64 c 4) (pow.f64 d 6)))) (/.f64 1 (pow.f64 d 2))) |
(-.f64 (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 d 4)) (+.f64 (/.f64 (pow.f64 c 6) (pow.f64 d 8)) (*.f64 -1 (/.f64 (pow.f64 c 4) (pow.f64 d 6))))) (/.f64 1 (pow.f64 d 2))) |
(/.f64 -1 (pow.f64 c 2)) |
(-.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 4)) (/.f64 1 (pow.f64 c 2))) |
(-.f64 (+.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 4)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/4 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4)))) (pow.f64 d 4)) (pow.f64 c 6)))) (/.f64 1 (pow.f64 c 2))) |
(-.f64 (+.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 4)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 d 2) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/4 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4)))) (pow.f64 d 4)))) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4))) (pow.f64 d 2)) (*.f64 -1 (+.f64 (*.f64 -1/8 (pow.f64 d 6)) (*.f64 1/8 (pow.f64 d 6)))))) (pow.f64 c 8))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/4 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4)))) (pow.f64 d 4)) (pow.f64 c 6))))) (/.f64 1 (pow.f64 c 2))) |
(/.f64 -1 (pow.f64 c 2)) |
(-.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 4)) (/.f64 1 (pow.f64 c 2))) |
(-.f64 (+.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 4)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/4 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4)))) (pow.f64 d 4)) (pow.f64 c 6)))) (/.f64 1 (pow.f64 c 2))) |
(-.f64 (+.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 4)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 d 2) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/4 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4)))) (pow.f64 d 4)))) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4))) (pow.f64 d 2)) (*.f64 -1 (+.f64 (*.f64 -1/8 (pow.f64 d 6)) (*.f64 1/8 (pow.f64 d 6)))))) (pow.f64 c 8))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/4 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4)))) (pow.f64 d 4)) (pow.f64 c 6))))) (/.f64 1 (pow.f64 c 2))) |
(pow.f64 c 2) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
(+.f64 (*.f64 (pow.f64 d 8) (+.f64 (*.f64 1/64 (/.f64 1 (pow.f64 c 6))) (+.f64 (*.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 c 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 c 6))))) (*.f64 1/16 (/.f64 1 (pow.f64 c 6)))))) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) |
(pow.f64 d 2) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
(+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))) (*.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2)))))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4))) (+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4))) (*.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2)))))))) |
(pow.f64 d 2) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
(+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))) (*.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2)))))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4))) (+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4))) (*.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2)))))))) |
(pow.f64 d 2) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
(+.f64 (*.f64 (pow.f64 c 8) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 d 6))) (+.f64 (*.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 d 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 d 6))))) (*.f64 1/64 (/.f64 1 (pow.f64 d 6)))))) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) |
(pow.f64 c 2) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
(+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))) (*.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2)))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 4))) (+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))) (*.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2)))))))) |
(pow.f64 c 2) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
(+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))) (*.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2)))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 4))) (+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))) (*.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2)))))))) |
| Outputs |
|---|
(/.f64 b c) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (/.f64 b c)) |
(fma.f64 -1 (/.f64 a (/.f64 (*.f64 c c) d)) (/.f64 b c)) |
(-.f64 (/.f64 b c) (*.f64 (/.f64 a c) (/.f64 d c))) |
(-.f64 (/.f64 b c) (*.f64 (/.f64 a (*.f64 c c)) d)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c))) |
(fma.f64 -1 (/.f64 a (/.f64 (*.f64 c c) d)) (fma.f64 -1 (/.f64 (*.f64 d d) (/.f64 (pow.f64 c 3) b)) (/.f64 b c))) |
(-.f64 (-.f64 (/.f64 b c) (/.f64 b (/.f64 (pow.f64 c 3) (*.f64 d d)))) (*.f64 (/.f64 a c) (/.f64 d c))) |
(-.f64 (/.f64 b c) (fma.f64 (/.f64 a c) (/.f64 d c) (/.f64 b (/.f64 (pow.f64 c 3) (*.f64 d d))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c)))) |
(fma.f64 -1 (/.f64 a (/.f64 (*.f64 c c) d)) (+.f64 (fma.f64 -1 (/.f64 (*.f64 d d) (/.f64 (pow.f64 c 3) b)) (/.f64 b c)) (/.f64 a (/.f64 (pow.f64 c 4) (pow.f64 d 3))))) |
(+.f64 (*.f64 (/.f64 a (pow.f64 c 4)) (pow.f64 d 3)) (-.f64 (-.f64 (/.f64 b c) (/.f64 b (/.f64 (pow.f64 c 3) (*.f64 d d)))) (*.f64 (/.f64 a c) (/.f64 d c)))) |
(fma.f64 (/.f64 a (pow.f64 c 4)) (pow.f64 d 3) (-.f64 (/.f64 b c) (fma.f64 (/.f64 a c) (/.f64 d c) (/.f64 b (/.f64 (pow.f64 c 3) (*.f64 d d)))))) |
(*.f64 -1 (/.f64 a d)) |
(neg.f64 (/.f64 a d)) |
(/.f64 (neg.f64 a) d) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 (*.f64 b c) (*.f64 d d))) |
(-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d)) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))) |
(+.f64 (fma.f64 -1 (/.f64 a d) (/.f64 (*.f64 b c) (*.f64 d d))) (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) a))) |
(+.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (-.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) a) (/.f64 a d))) |
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) a (*.f64 (/.f64 b d) (/.f64 c d))) (/.f64 a d)) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (+.f64 (/.f64 (*.f64 c b) (pow.f64 d 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) b) (pow.f64 d 4)))))) |
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) a)) (+.f64 (fma.f64 -1 (/.f64 a d) (/.f64 (*.f64 b c) (*.f64 d d))) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) b))))) |
(+.f64 (-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) b))) (-.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) a) (/.f64 a d))) |
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) a (*.f64 b (-.f64 (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4))))) (/.f64 a d)) |
(*.f64 -1 (/.f64 a d)) |
(neg.f64 (/.f64 a d)) |
(/.f64 (neg.f64 a) d) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 (*.f64 b c) (*.f64 d d))) |
(-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d)) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))) |
(+.f64 (fma.f64 -1 (/.f64 a d) (/.f64 (*.f64 b c) (*.f64 d d))) (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) a))) |
(+.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (-.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) a) (/.f64 a d))) |
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) a (*.f64 (/.f64 b d) (/.f64 c d))) (/.f64 a d)) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (+.f64 (/.f64 (*.f64 c b) (pow.f64 d 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) b) (pow.f64 d 4)))))) |
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) a)) (+.f64 (fma.f64 -1 (/.f64 a d) (/.f64 (*.f64 b c) (*.f64 d d))) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) b))))) |
(+.f64 (-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) b))) (-.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) a) (/.f64 a d))) |
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) a (*.f64 b (-.f64 (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4))))) (/.f64 a d)) |
(/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) |
(/.f64 c (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) b)) |
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(+.f64 (*.f64 (pow.f64 d 8) (+.f64 (*.f64 1/64 (/.f64 1 (pow.f64 c 6))) (+.f64 (*.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 c 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 c 6))))) (*.f64 1/16 (/.f64 1 (pow.f64 c 6)))))) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) |
(fma.f64 (pow.f64 d 8) (+.f64 (/.f64 1/64 (pow.f64 c 6)) (fma.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 c 3)) 2) (/.f64 1/16 (pow.f64 c 6))) (/.f64 1/16 (pow.f64 c 6)))) (+.f64 (*.f64 c c) (*.f64 d d))) |
(fma.f64 (pow.f64 d 8) (+.f64 (/.f64 1/64 (pow.f64 c 6)) (-.f64 (/.f64 1/16 (pow.f64 c 6)) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 c 3)) 2) (/.f64 1/16 (pow.f64 c 6))))) (fma.f64 c c (*.f64 d d))) |
(fma.f64 d d (fma.f64 c c (*.f64 (pow.f64 d 8) (+.f64 (-.f64 (/.f64 -1/16 (pow.f64 c 6)) (pow.f64 (/.f64 -1/8 (pow.f64 c 3)) 2)) (*.f64 (/.f64 1 (pow.f64 c 6)) 5/64))))) |
(pow.f64 d 2) |
(*.f64 d d) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 c c (*.f64 d d)) |
(+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))) (*.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2)))))) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 c c (*.f64 d d)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4))) (+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4))) (*.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2)))))))) |
(fma.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4)) (+.f64 (*.f64 d d) (+.f64 (*.f64 c c) (fma.f64 -1/4 (/.f64 (pow.f64 c 4) (*.f64 d d)) (fma.f64 -1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4)) (*.f64 1/4 (/.f64 (pow.f64 c 4) (*.f64 d d)))))))) |
(fma.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4)) (fma.f64 d d (+.f64 (fma.f64 c c 0) (*.f64 -1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4)))))) |
(fma.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4)) (fma.f64 c c (fma.f64 d d (*.f64 -1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4)))))) |
(pow.f64 d 2) |
(*.f64 d d) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 c c (*.f64 d d)) |
(+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))) (*.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2)))))) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 c c (*.f64 d d)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4))) (+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4))) (*.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2)))))))) |
(fma.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4)) (+.f64 (*.f64 d d) (+.f64 (*.f64 c c) (fma.f64 -1/4 (/.f64 (pow.f64 c 4) (*.f64 d d)) (fma.f64 -1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4)) (*.f64 1/4 (/.f64 (pow.f64 c 4) (*.f64 d d)))))))) |
(fma.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4)) (fma.f64 d d (+.f64 (fma.f64 c c 0) (*.f64 -1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4)))))) |
(fma.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4)) (fma.f64 c c (fma.f64 d d (*.f64 -1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4)))))) |
(pow.f64 d 2) |
(*.f64 d d) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 c c (*.f64 d d)) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 c c (*.f64 d d)) |
(+.f64 (*.f64 (pow.f64 c 8) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 d 6))) (+.f64 (*.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 d 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 d 6))))) (*.f64 1/64 (/.f64 1 (pow.f64 d 6)))))) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) |
(fma.f64 (pow.f64 c 8) (+.f64 (/.f64 1/16 (pow.f64 d 6)) (fma.f64 -1 (+.f64 (/.f64 1/16 (pow.f64 d 6)) (pow.f64 (/.f64 -1/8 (pow.f64 d 3)) 2)) (/.f64 1/64 (pow.f64 d 6)))) (+.f64 (*.f64 c c) (*.f64 d d))) |
(fma.f64 (pow.f64 c 8) (+.f64 (/.f64 1/16 (pow.f64 d 6)) (-.f64 (/.f64 1/64 (pow.f64 d 6)) (+.f64 (/.f64 1/16 (pow.f64 d 6)) (pow.f64 (/.f64 -1/8 (pow.f64 d 3)) 2)))) (fma.f64 c c (*.f64 d d))) |
(fma.f64 (pow.f64 c 8) (-.f64 (*.f64 (/.f64 1 (pow.f64 d 6)) 5/64) (+.f64 (/.f64 1/16 (pow.f64 d 6)) (pow.f64 (/.f64 -1/8 (pow.f64 d 3)) 2))) (fma.f64 c c (*.f64 d d))) |
(pow.f64 c 2) |
(*.f64 c c) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 c c (*.f64 d d)) |
(+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))) (*.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2)))))) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 c c (*.f64 d d)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 4))) (+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))) (*.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2)))))))) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 c c (*.f64 d d)) |
(pow.f64 c 2) |
(*.f64 c c) |
(+.f64 (pow.f64 d 2) (pow.f64 c 2)) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 c c (*.f64 d d)) |
(+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))) (*.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2)))))) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 c c (*.f64 d d)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 4))) (+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))) (*.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2)))))))) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 c c (*.f64 d d)) |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 220 | 4 | 224 |
| Fresh | 4 | 3 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 225 | 7 | 232 |
| Status | Error | Program |
|---|---|---|
| 40.8b | (*.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 (fma.f64 d a (*.f64 b c)) (hypot.f64 d c))) | |
| 34.1b | (-.f64 (/.f64 b c) (/.f64 d (*.f64 c (/.f64 c a)))) | |
| ▶ | 29.4b | (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (*.f64 -1 (pow.f64 (/.f64 1 (hypot.f64 d c)) 2))) |
| 48.3b | (*.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 d a) (*.f64 b c))) 2) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2)))) | |
| 31.0b | (-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d)) | |
| 38.9b | (-.f64 (/.f64 b c) (fma.f64 (/.f64 a c) (/.f64 d c) (/.f64 b (/.f64 (pow.f64 c 3) (*.f64 d d))))) | |
| 40.6b | (*.f64 d (/.f64 (neg.f64 a) (fma.f64 c c (*.f64 d d)))) |
Compiled 5653 to 2570 computations (54.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (hypot.f64 d c)) |
| ✓ | 0.3b | (pow.f64 (/.f64 1 (hypot.f64 d c)) 2) |
| 0.8b | (-.f64 (*.f64 d a) (*.f64 b c)) | |
| ✓ | 28.7b | (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (*.f64 -1 (pow.f64 (/.f64 1 (hypot.f64 d c)) 2))) |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | d | @ | 0 | (pow.f64 (/.f64 1 (hypot.f64 d c)) 2) |
| 1.0ms | d | @ | inf | (pow.f64 (/.f64 1 (hypot.f64 d c)) 2) |
| 1.0ms | c | @ | inf | (pow.f64 (/.f64 1 (hypot.f64 d c)) 2) |
| 1.0ms | c | @ | 0 | (pow.f64 (/.f64 1 (hypot.f64 d c)) 2) |
| 1.0ms | d | @ | inf | (/.f64 1 (hypot.f64 d c)) |
| 1× | batch-egg-rewrite |
| 265× | expm1-udef_binary64 |
| 265× | log1p-udef_binary64 |
| 166× | add-sqr-sqrt_binary64 |
| 162× | pow1_binary64 |
| 160× | *-un-lft-identity_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 41 |
| 1 | 340 | 33 |
| 2 | 4226 | 33 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (*.f64 -1 (pow.f64 (/.f64 1 (hypot.f64 d c)) 2))) |
(pow.f64 (/.f64 1 (hypot.f64 d c)) 2) |
(/.f64 1 (hypot.f64 d c)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2)) (*.f64 (fma.f64 (neg.f64 c) b (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2)) (*.f64 (pow.f64 (hypot.f64 d c) -2) (fma.f64 (neg.f64 c) b (*.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 d c) -2)) (*.f64 (*.f64 b (neg.f64 c)) (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (hypot.f64 d c) -2) (*.f64 d a)) (*.f64 (pow.f64 (hypot.f64 d c) -2) (*.f64 b (neg.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 d a) 3) (pow.f64 (*.f64 b c) 3)) (pow.f64 (hypot.f64 d c) -2)) (+.f64 (pow.f64 (*.f64 d a) 2) (*.f64 (*.f64 b c) (fma.f64 d a (*.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 d a) 2) (pow.f64 (*.f64 b c) 2)) (pow.f64 (hypot.f64 d c) -2)) (fma.f64 d a (*.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (hypot.f64 d c) -2) (-.f64 (pow.f64 (*.f64 d a) 3) (pow.f64 (*.f64 b c) 3))) (+.f64 (pow.f64 (*.f64 d a) 2) (*.f64 (*.f64 b c) (fma.f64 d a (*.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (hypot.f64 d c) -2) (-.f64 (pow.f64 (*.f64 d a) 2) (pow.f64 (*.f64 b c) 2))) (fma.f64 d a (*.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 (hypot.f64 d c)) (sqrt.f64 (-.f64 (*.f64 d a) (*.f64 b c)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 d c) -2)) (-.f64 (*.f64 d a) (*.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 (*.f64 d a) (*.f64 b c)) 3) (pow.f64 (pow.f64 (hypot.f64 d c) -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 d c) -2) 3) (pow.f64 (-.f64 (*.f64 d a) (*.f64 b c)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (pow.f64 (hypot.f64 d c) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 d c) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 (hypot.f64 d c) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 d c) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 1 (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 d c)) (neg.f64 (/.f64 1 (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 d c)) (*.f64 (/.f64 1 (hypot.f64 d c)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 d c) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 d c) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) -2)) (cbrt.f64 (pow.f64 (/.f64 1 (hypot.f64 d c)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) -2)) (*.f64 (/.f64 1 (cbrt.f64 (hypot.f64 d c))) (/.f64 1 (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 1 (hypot.f64 d c)) 4)) (cbrt.f64 (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 1 (hypot.f64 d c)) 4)) (neg.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 d c) -1/2) (*.f64 (pow.f64 (hypot.f64 d c) -1/2) (/.f64 1 (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (hypot.f64 d c)) (pow.f64 (hypot.f64 d c) -1/2)) (pow.f64 (hypot.f64 d c) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1 (hypot.f64 d c))) (/.f64 1 (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 1 (hypot.f64 d c)) 4))) (cbrt.f64 (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (/.f64 1 (hypot.f64 d c))) (/.f64 1 (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (hypot.f64 d c)) (cbrt.f64 (pow.f64 (hypot.f64 d c) -2))) (/.f64 1 (cbrt.f64 (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (/.f64 1 (hypot.f64 d c)) 4))) (cbrt.f64 (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (hypot.f64 d c) (neg.f64 (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 (hypot.f64 d c)) (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (hypot.f64 d c) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (neg.f64 (hypot.f64 d c)) (neg.f64 (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (hypot.f64 d c)) (hypot.f64 d c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 1 (hypot.f64 d c))) (neg.f64 (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (hypot.f64 d c)) -1) (neg.f64 (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (hypot.f64 d c) -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 (hypot.f64 d c)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 d c) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 d c) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 d c) -2)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (hypot.f64 d c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 d c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 d c)) (sqrt.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (hypot.f64 d c))) (cbrt.f64 (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) -2)) (/.f64 1 (cbrt.f64 (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 d c) -1/2) (pow.f64 (hypot.f64 d c) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -1) (/.f64 1 (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 (hypot.f64 d c)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2) -1) (pow.f64 (cbrt.f64 (hypot.f64 d c)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (hypot.f64 d c)) -1) (pow.f64 (sqrt.f64 (hypot.f64 d c)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 d c) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (hypot.f64 d c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 d c) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (hypot.f64 d c)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 d c) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (hypot.f64 d c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 d c) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 d c) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1 (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (hypot.f64 d c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (hypot.f64 d c)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 d c)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 d c))) 1)))))) |
| 1× | egg-herbie |
| 841× | associate-/l*_binary64 |
| 669× | associate-/r*_binary64 |
| 200× | fma-def_binary64 |
| 145× | associate-+r+_binary64 |
| 140× | +-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 200 | 2984 |
| 1 | 617 | 2712 |
| 2 | 2280 | 2695 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 b c) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (/.f64 b c)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c)))) |
(*.f64 -1 (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (+.f64 (/.f64 (*.f64 c b) (pow.f64 d 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) b) (pow.f64 d 4)))))) |
(*.f64 -1 (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (+.f64 (/.f64 (*.f64 c b) (pow.f64 d 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) b) (pow.f64 d 4)))))) |
(/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(*.f64 -1 (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (+.f64 (/.f64 (*.f64 c b) (pow.f64 d 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) b) (pow.f64 d 4)))))) |
(/.f64 b c) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (/.f64 b c)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c)))) |
(/.f64 b c) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (/.f64 b c)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c)))) |
(/.f64 1 (pow.f64 c 2)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (/.f64 1 (pow.f64 c 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (+.f64 (/.f64 1 (pow.f64 c 2)) (/.f64 (pow.f64 d 4) (pow.f64 c 6)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 d 6) (pow.f64 c 8))) (+.f64 (/.f64 1 (pow.f64 c 2)) (/.f64 (pow.f64 d 4) (pow.f64 c 6))))) |
(/.f64 1 (pow.f64 d 2)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (/.f64 1 (pow.f64 d 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (+.f64 (/.f64 1 (pow.f64 d 2)) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 6))) (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 -1/8 (pow.f64 c 4))) (pow.f64 d 6)))))) |
(+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 -1/8 (pow.f64 c 4))))) (*.f64 1/8 (pow.f64 c 6))) (pow.f64 d 8))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 -1/8 (pow.f64 c 4)))) (pow.f64 d 8)) (+.f64 (/.f64 1 (pow.f64 d 2)) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 6))) (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 -1/8 (pow.f64 c 4))) (pow.f64 d 6)))))))) |
(/.f64 1 (pow.f64 d 2)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (/.f64 1 (pow.f64 d 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (+.f64 (/.f64 1 (pow.f64 d 2)) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 6))) (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 -1/8 (pow.f64 c 4))) (pow.f64 d 6)))))) |
(+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 -1/8 (pow.f64 c 4))))) (*.f64 1/8 (pow.f64 c 6))) (pow.f64 d 8))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 -1/8 (pow.f64 c 4)))) (pow.f64 d 8)) (+.f64 (/.f64 1 (pow.f64 d 2)) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 6))) (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 -1/8 (pow.f64 c 4))) (pow.f64 d 6)))))))) |
(/.f64 1 (pow.f64 d 2)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (/.f64 1 (pow.f64 d 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (+.f64 (/.f64 1 (pow.f64 d 2)) (/.f64 (pow.f64 c 4) (pow.f64 d 6)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 c 6) (pow.f64 d 8))) (+.f64 (/.f64 1 (pow.f64 d 2)) (/.f64 (pow.f64 c 4) (pow.f64 d 6))))) |
(/.f64 1 (pow.f64 c 2)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (/.f64 1 (pow.f64 c 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 6))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4))) (pow.f64 c 6))) (/.f64 1 (pow.f64 c 2))))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 6))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 d 2) (+.f64 (*.f64 -1/8 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4))))) (*.f64 1/8 (pow.f64 d 6))) (pow.f64 c 8))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4))) (pow.f64 c 6))) (+.f64 (/.f64 1 (pow.f64 c 2)) (/.f64 (*.f64 (pow.f64 d 2) (+.f64 (*.f64 -1/8 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4)))) (pow.f64 c 8))))))) |
(/.f64 1 (pow.f64 c 2)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (/.f64 1 (pow.f64 c 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 6))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4))) (pow.f64 c 6))) (/.f64 1 (pow.f64 c 2))))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 6))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 d 2) (+.f64 (*.f64 -1/8 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4))))) (*.f64 1/8 (pow.f64 d 6))) (pow.f64 c 8))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4))) (pow.f64 c 6))) (+.f64 (/.f64 1 (pow.f64 c 2)) (/.f64 (*.f64 (pow.f64 d 2) (+.f64 (*.f64 -1/8 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4)))) (pow.f64 c 8))))))) |
(/.f64 1 c) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (*.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5))) (/.f64 1 c))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (*.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5))) (+.f64 (/.f64 1 c) (*.f64 -5/16 (/.f64 (pow.f64 d 6) (pow.f64 c 7)))))) |
(/.f64 1 d) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 -1/8 (pow.f64 c 4))) (pow.f64 d 5))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 -1/8 (pow.f64 c 4))))) (*.f64 1/8 (pow.f64 c 6))) (pow.f64 d 7))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 -1/8 (pow.f64 c 4))) (pow.f64 d 5))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d)))) |
(/.f64 -1 d) |
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5))) (*.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 5))))) (/.f64 1 d)) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 7))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 -1/8 (pow.f64 c 4)))) (pow.f64 d 7))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5))) (*.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 5))))))) (/.f64 1 d)) |
(/.f64 1 d) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 1 d) (*.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5))))) |
(+.f64 (*.f64 -5/16 (/.f64 (pow.f64 c 6) (pow.f64 d 7))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 1 d) (*.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)))))) |
(/.f64 1 c) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (/.f64 1 c) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4))) (pow.f64 c 5))))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 d 2) (+.f64 (*.f64 -1/8 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4))))) (*.f64 1/8 (pow.f64 d 6))) (pow.f64 c 7))) (+.f64 (/.f64 1 c) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4))) (pow.f64 c 5)))))) |
(/.f64 -1 c) |
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 5))) (*.f64 -1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5))))) (/.f64 1 c)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 d 2) (+.f64 (*.f64 -1/8 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4)))) (pow.f64 c 7))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 7))) (*.f64 -1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5))))))) (/.f64 1 c)) |
| Outputs |
|---|
(/.f64 b c) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (/.f64 b c)) |
(fma.f64 -1 (/.f64 a (/.f64 (*.f64 c c) d)) (/.f64 b c)) |
(-.f64 (/.f64 b c) (/.f64 a (/.f64 (*.f64 c c) d))) |
(-.f64 (/.f64 b c) (*.f64 (/.f64 a (*.f64 c c)) d)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c))) |
(fma.f64 -1 (/.f64 a (/.f64 (*.f64 c c) d)) (fma.f64 -1 (/.f64 (*.f64 d d) (/.f64 (pow.f64 c 3) b)) (/.f64 b c))) |
(-.f64 (-.f64 (/.f64 b c) (/.f64 (*.f64 d d) (/.f64 (pow.f64 c 3) b))) (/.f64 a (/.f64 (*.f64 c c) d))) |
(-.f64 (/.f64 b c) (+.f64 (*.f64 (/.f64 a (*.f64 c c)) d) (*.f64 (*.f64 (/.f64 d (pow.f64 c 3)) d) b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c)))) |
(fma.f64 -1 (/.f64 a (/.f64 (*.f64 c c) d)) (+.f64 (fma.f64 -1 (/.f64 (*.f64 d d) (/.f64 (pow.f64 c 3) b)) (/.f64 b c)) (/.f64 a (/.f64 (pow.f64 c 4) (pow.f64 d 3))))) |
(+.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 c 4)) (pow.f64 d 3)) (/.f64 (*.f64 d d) (/.f64 (pow.f64 c 3) b))) (-.f64 (/.f64 b c) (/.f64 a (/.f64 (*.f64 c c) d)))) |
(+.f64 (-.f64 (/.f64 b c) (*.f64 (*.f64 (/.f64 d (pow.f64 c 3)) d) b)) (-.f64 (*.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) a) (*.f64 (/.f64 a (*.f64 c c)) d))) |
(*.f64 -1 (/.f64 a d)) |
(neg.f64 (/.f64 a d)) |
(/.f64 (neg.f64 a) d) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 (*.f64 b c) (*.f64 d d))) |
(-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 d (/.f64 c d))) (/.f64 a d)) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))) |
(+.f64 (fma.f64 -1 (/.f64 a d) (/.f64 (*.f64 b c) (*.f64 d d))) (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) a))) |
(+.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (-.f64 (/.f64 (*.f64 c (*.f64 c a)) (pow.f64 d 3)) (/.f64 a d))) |
(+.f64 (/.f64 b (/.f64 d (/.f64 c d))) (-.f64 (*.f64 (/.f64 a (pow.f64 d 3)) (*.f64 c c)) (/.f64 a d))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (+.f64 (/.f64 (*.f64 c b) (pow.f64 d 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) b) (pow.f64 d 4)))))) |
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) a)) (+.f64 (fma.f64 -1 (/.f64 a d) (/.f64 (*.f64 b c) (*.f64 d d))) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) b))))) |
(+.f64 (-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) b))) (-.f64 (/.f64 (*.f64 c (*.f64 c a)) (pow.f64 d 3)) (/.f64 a d))) |
(+.f64 (*.f64 (/.f64 a (pow.f64 d 3)) (*.f64 c c)) (-.f64 (*.f64 b (-.f64 (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))) (/.f64 a d))) |
(*.f64 -1 (/.f64 a d)) |
(neg.f64 (/.f64 a d)) |
(/.f64 (neg.f64 a) d) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 (*.f64 b c) (*.f64 d d))) |
(-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 d (/.f64 c d))) (/.f64 a d)) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))) |
(+.f64 (fma.f64 -1 (/.f64 a d) (/.f64 (*.f64 b c) (*.f64 d d))) (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) a))) |
(+.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (-.f64 (/.f64 (*.f64 c (*.f64 c a)) (pow.f64 d 3)) (/.f64 a d))) |
(+.f64 (/.f64 b (/.f64 d (/.f64 c d))) (-.f64 (*.f64 (/.f64 a (pow.f64 d 3)) (*.f64 c c)) (/.f64 a d))) |
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (+.f64 (/.f64 (*.f64 c b) (pow.f64 d 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) b) (pow.f64 d 4)))))) |
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) a)) (+.f64 (fma.f64 -1 (/.f64 a d) (/.f64 (*.f64 b c) (*.f64 d d))) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) b))))) |
(+.f64 (-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) b))) (-.f64 (/.f64 (*.f64 c (*.f64 c a)) (pow.f64 d 3)) (/.f64 a d))) |
(+.f64 (*.f64 (/.f64 a (pow.f64 d 3)) (*.f64 c c)) (-.f64 (*.f64 b (-.f64 (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))) (/.f64 a d))) |
(/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) |
(/.f64 (*.f64 b c) (+.f64 (*.f64 c c) (*.f64 d d))) |
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) |
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 b c) (+.f64 (*.f64 c c) (*.f64 d d))) (neg.f64 (/.f64 a (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) d)))) |
(-.f64 (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) d))) |
(-.f64 (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) (/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) d))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 b c) (+.f64 (*.f64 c c) (*.f64 d d))) (neg.f64 (/.f64 a (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) d)))) |
(-.f64 (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) d))) |
(-.f64 (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) (/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) d))) |
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) |
(+.f64 (/.f64 (*.f64 b c) (+.f64 (*.f64 c c) (*.f64 d d))) (neg.f64 (/.f64 a (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) d)))) |
(-.f64 (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) d))) |
(-.f64 (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) (/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) d))) |
(*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) |
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(-.f64 (fma.f64 -1/2 (/.f64 c (/.f64 (pow.f64 d 3) c)) (/.f64 1 d)) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) -3/8))) |
(fma.f64 -1/2 (*.f64 (/.f64 c (pow.f64 d 3)) c) (fma.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 1 d))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 -1/8 (pow.f64 c 4))))) (*.f64 1/8 (pow.f64 c 6))) (pow.f64 d 7))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 -1/8 (pow.f64 c 4))) (pow.f64 d 5))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d)))) |
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (*.f64 (*.f64 c c) (*.f64 (pow.f64 c 4) -3/8)) (*.f64 (pow.f64 c 6) 1/8)) (pow.f64 d 7)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 c 4) -3/8) (pow.f64 d 5)) (fma.f64 -1/2 (/.f64 (*.f64 c c) (pow.f64 d 3)) (/.f64 1 d)))) |
(-.f64 (-.f64 (fma.f64 -1/2 (/.f64 c (/.f64 (pow.f64 d 3) c)) (/.f64 1 d)) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) -3/8))) (/.f64 (fma.f64 -1/2 (*.f64 (pow.f64 c 6) -3/8) (*.f64 (pow.f64 c 6) 1/8)) (pow.f64 d 7))) |
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 c (pow.f64 d 3)) c) (fma.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 1 d))) (/.f64 (fma.f64 -1/2 (*.f64 (pow.f64 c 6) -3/8) (*.f64 (pow.f64 c 6) 1/8)) (pow.f64 d 7))) |
(/.f64 -1 d) |
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d)) |
(-.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) 1/2) (/.f64 1 d)) |
(fma.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) 1/2 (/.f64 -1 d)) |
(fma.f64 (*.f64 (/.f64 c (pow.f64 d 3)) c) 1/2 (/.f64 -1 d)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5))) (*.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 5))))) (/.f64 1 d)) |
(-.f64 (fma.f64 1/2 (/.f64 (*.f64 c c) (pow.f64 d 3)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) -3/8)) (/.f64 1 d)) |
(fma.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) 1/2 (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) -3/8 (/.f64 -1 d))) |
(fma.f64 (*.f64 (/.f64 c (pow.f64 d 3)) c) 1/2 (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) -3/8 (/.f64 -1 d))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 7))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 -1/8 (pow.f64 c 4)))) (pow.f64 d 7))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5))) (*.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 5))))))) (/.f64 1 d)) |
(-.f64 (fma.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 c 4) -3/8)) (pow.f64 d 7)) (fma.f64 1/2 (/.f64 (*.f64 c c) (pow.f64 d 3)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) -3/8)))) (/.f64 1 d)) |
(+.f64 (fma.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 6) -3/8) (pow.f64 d 7)) (fma.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) 1/2 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) -3/8))))) (/.f64 -1 d)) |
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) -3/8) (fma.f64 (*.f64 (/.f64 c (pow.f64 d 3)) c) 1/2 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) -3/8)))) (fma.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) (/.f64 -1 d))) |
(/.f64 1 d) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d)) |
(fma.f64 -1/2 (/.f64 (*.f64 c c) (pow.f64 d 3)) (/.f64 1 d)) |
(fma.f64 -1/2 (/.f64 c (/.f64 (pow.f64 d 3) c)) (/.f64 1 d)) |
(fma.f64 -1/2 (*.f64 (/.f64 c (pow.f64 d 3)) c) (/.f64 1 d)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 1 d) (*.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5))))) |
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 c 4) -3/8) (pow.f64 d 5)) (fma.f64 -1/2 (/.f64 (*.f64 c c) (pow.f64 d 3)) (/.f64 1 d))) |
(-.f64 (fma.f64 -1/2 (/.f64 c (/.f64 (pow.f64 d 3) c)) (/.f64 1 d)) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) -3/8))) |
(fma.f64 -1/2 (*.f64 (/.f64 c (pow.f64 d 3)) c) (fma.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 1 d))) |
(+.f64 (*.f64 -5/16 (/.f64 (pow.f64 c 6) (pow.f64 d 7))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 1 d) (*.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)))))) |
(fma.f64 -5/16 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) (+.f64 (fma.f64 -1/2 (/.f64 (*.f64 c c) (pow.f64 d 3)) (/.f64 1 d)) (/.f64 (*.f64 3/8 (pow.f64 c 4)) (pow.f64 d 5)))) |
(fma.f64 -5/16 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) (fma.f64 -1/2 (/.f64 c (/.f64 (pow.f64 d 3) c)) (fma.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 1 d)))) |
(fma.f64 -5/16 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) (fma.f64 -1/2 (*.f64 (/.f64 c (pow.f64 d 3)) c) (fma.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 1 d)))) |
(/.f64 1 c) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c)) |
(fma.f64 -1/2 (/.f64 (*.f64 d d) (pow.f64 c 3)) (/.f64 1 c)) |
(fma.f64 -1/2 (/.f64 d (/.f64 (pow.f64 c 3) d)) (/.f64 1 c)) |
(fma.f64 -1/2 (*.f64 (/.f64 d (pow.f64 c 3)) d) (/.f64 1 c)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (/.f64 1 c) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4))) (pow.f64 c 5))))) |
(fma.f64 -1/2 (/.f64 (*.f64 d d) (pow.f64 c 3)) (fma.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (/.f64 1 c))) |
(fma.f64 -1/2 (/.f64 d (/.f64 (pow.f64 c 3) d)) (fma.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (/.f64 1 c))) |
(fma.f64 -1/2 (*.f64 (/.f64 d (pow.f64 c 3)) d) (fma.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (/.f64 1 c))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 d 2) (+.f64 (*.f64 -1/8 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4))))) (*.f64 1/8 (pow.f64 d 6))) (pow.f64 c 7))) (+.f64 (/.f64 1 c) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4))) (pow.f64 c 5)))))) |
(fma.f64 -1/2 (/.f64 (*.f64 d d) (pow.f64 c 3)) (fma.f64 -1 (/.f64 (fma.f64 -1/2 (*.f64 (*.f64 d d) (*.f64 (pow.f64 d 4) -3/8)) (*.f64 (pow.f64 d 6) 1/8)) (pow.f64 c 7)) (+.f64 (/.f64 1 c) (neg.f64 (/.f64 (*.f64 (pow.f64 d 4) -3/8) (pow.f64 c 5)))))) |
(fma.f64 -1/2 (/.f64 d (/.f64 (pow.f64 c 3) d)) (-.f64 (-.f64 (/.f64 1 c) (*.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) -3/8)) (/.f64 (fma.f64 (pow.f64 d 6) 1/8 (*.f64 -1/2 (*.f64 (pow.f64 d 6) -3/8))) (pow.f64 c 7)))) |
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 d (pow.f64 c 3)) d) (fma.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (/.f64 1 c))) (/.f64 (fma.f64 (pow.f64 d 6) 1/8 (*.f64 -1/2 (*.f64 (pow.f64 d 6) -3/8))) (pow.f64 c 7))) |
(/.f64 -1 c) |
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c)) |
(-.f64 (*.f64 (/.f64 (*.f64 d d) (pow.f64 c 3)) 1/2) (/.f64 1 c)) |
(fma.f64 (/.f64 d (/.f64 (pow.f64 c 3) d)) 1/2 (/.f64 -1 c)) |
(fma.f64 (*.f64 (/.f64 d (pow.f64 c 3)) d) 1/2 (/.f64 -1 c)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 5))) (*.f64 -1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5))))) (/.f64 1 c)) |
(-.f64 (fma.f64 1/2 (/.f64 (*.f64 d d) (pow.f64 c 3)) (*.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) -3/8)) (/.f64 1 c)) |
(fma.f64 (/.f64 d (/.f64 (pow.f64 c 3) d)) 1/2 (fma.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) -3/8 (/.f64 -1 c))) |
(fma.f64 (*.f64 (/.f64 d (pow.f64 c 3)) d) 1/2 (fma.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) -3/8 (/.f64 -1 c))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 d 2) (+.f64 (*.f64 -1/8 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4)))) (pow.f64 c 7))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 7))) (*.f64 -1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5))))))) (/.f64 1 c)) |
(-.f64 (fma.f64 1/2 (/.f64 (*.f64 d d) (pow.f64 c 3)) (fma.f64 -1/2 (/.f64 (*.f64 d d) (/.f64 (pow.f64 c 7) (*.f64 (pow.f64 d 4) -3/8))) (fma.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (fma.f64 1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 7)) (/.f64 (*.f64 (pow.f64 d 4) -1/8) (pow.f64 c 5)))))) (/.f64 1 c)) |
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 d 6) -3/8) (pow.f64 c 7)) (+.f64 (*.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) -3/8) (*.f64 1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 7))))) (fma.f64 (/.f64 d (/.f64 (pow.f64 c 3) d)) 1/2 (/.f64 -1 c))) |
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 d 6) (pow.f64 c 7)) -3/8) (+.f64 (*.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) -3/8) (*.f64 1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 7))))) (fma.f64 (*.f64 (/.f64 d (pow.f64 c 3)) d) 1/2 (/.f64 -1 c))) |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 226 | 1 | 227 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 226 | 8 | 234 |
| Status | Error | Program |
|---|---|---|
| 38.9b | (-.f64 (/.f64 b c) (fma.f64 (/.f64 a c) (/.f64 d c) (/.f64 b (/.f64 (pow.f64 c 3) (*.f64 d d))))) | |
| 31.6b | (-.f64 (/.f64 b (/.f64 d (/.f64 c d))) (/.f64 a d)) | |
| 40.8b | (*.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 (fma.f64 d a (*.f64 b c)) (hypot.f64 d c))) | |
| 34.1b | (-.f64 (/.f64 b c) (/.f64 d (*.f64 c (/.f64 c a)))) | |
| ✓ | 29.4b | (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (*.f64 -1 (pow.f64 (/.f64 1 (hypot.f64 d c)) 2))) |
| 48.3b | (*.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 d a) (*.f64 b c))) 2) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2)))) | |
| ▶ | 31.0b | (-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d)) |
| 40.6b | (*.f64 d (/.f64 (neg.f64 a) (fma.f64 c c (*.f64 d d)))) |
Compiled 6359 to 3275 computations (48.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.3b | (-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d)) |
| ✓ | 2.5b | (*.f64 (/.f64 b d) (/.f64 c d)) |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | 0 | (*.f64 (/.f64 b d) (/.f64 c d)) |
| 1.0ms | c | @ | inf | (*.f64 (/.f64 b d) (/.f64 c d)) |
| 1.0ms | d | @ | 0 | (*.f64 (/.f64 b d) (/.f64 c d)) |
| 1.0ms | b | @ | inf | (*.f64 (/.f64 b d) (/.f64 c d)) |
| 1.0ms | a | @ | 0 | (-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d)) |
| 1× | batch-egg-rewrite |
| 314× | fma-def_binary64 |
| 216× | expm1-udef_binary64 |
| 216× | log1p-udef_binary64 |
| 200× | fma-neg_binary64 |
| 144× | egg-rr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 1 | 229 | 23 |
| 2 | 3625 | 23 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 b d) (/.f64 c d)) |
(-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 789× | times-frac_binary64 |
| 601× | associate-/l/_binary64 |
| 401× | associate-/l*_binary64 |
| 253× | associate-*l*_binary64 |
| 204× | associate-/r/_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 1068 |
| 1 | 27 | 1032 |
| 2 | 53 | 1032 |
| 3 | 115 | 1032 |
| 4 | 320 | 1032 |
| 5 | 1173 | 1032 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(*.f64 -1 (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(*.f64 -1 (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(*.f64 -1 (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(*.f64 -1 (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(*.f64 -1 (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(*.f64 -1 (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
| Outputs |
|---|
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(*.f64 -1 (/.f64 a d)) |
(neg.f64 (/.f64 a d)) |
(/.f64 (neg.f64 a) d) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b))) |
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b))) |
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b))) |
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b))) |
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b))) |
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b))) |
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b))) |
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b))) |
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b))) |
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b))) |
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b))) |
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b))) |
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d)) |
(*.f64 -1 (/.f64 a d)) |
(neg.f64 (/.f64 a d)) |
(/.f64 (neg.f64 a) d) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b))) |
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b))) |
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b))) |
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d)) |
(*.f64 -1 (/.f64 a d)) |
(neg.f64 (/.f64 a d)) |
(/.f64 (neg.f64 a) d) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b))) |
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b))) |
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b))) |
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d)) |
(*.f64 -1 (/.f64 a d)) |
(neg.f64 (/.f64 a d)) |
(/.f64 (neg.f64 a) d) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b))) |
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b))) |
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b))) |
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b))) |
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b))) |
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b))) |
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b))) |
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b))) |
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b))) |
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d)) |
(/.f64 (*.f64 c b) (pow.f64 d 2)) |
(/.f64 c (/.f64 (*.f64 d d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 b (/.f64 (*.f64 d d) c)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b))) |
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b))) |
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b))) |
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d)) |
(*.f64 -1 (/.f64 a d)) |
(neg.f64 (/.f64 a d)) |
(/.f64 (neg.f64 a) d) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b))) |
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b))) |
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b))) |
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d)) |
(*.f64 -1 (/.f64 a d)) |
(neg.f64 (/.f64 a d)) |
(/.f64 (neg.f64 a) d) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b))) |
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b))) |
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d)) |
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))) |
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b))) |
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) |
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d)) |
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 191 | 4 | 195 |
| Fresh | 1 | 5 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 193 | 10 | 203 |
| Status | Error | Program |
|---|---|---|
| 31.3b | (fma.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d)) 2) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 a d))) (pow.f64 (cbrt.f64 (/.f64 a d)) 2) (/.f64 a d))) | |
| 40.8b | (*.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 (fma.f64 d a (*.f64 b c)) (hypot.f64 d c))) | |
| 34.1b | (-.f64 (/.f64 b c) (/.f64 d (*.f64 c (/.f64 c a)))) | |
| ✓ | 29.4b | (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (*.f64 -1 (pow.f64 (/.f64 1 (hypot.f64 d c)) 2))) |
| 48.3b | (*.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 d a) (*.f64 b c))) 2) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2)))) | |
| 38.9b | (-.f64 (/.f64 b c) (fma.f64 (/.f64 a c) (/.f64 d c) (/.f64 b (/.f64 (pow.f64 c 3) (*.f64 d d))))) | |
| 31.2b | (-.f64 (/.f64 (/.f64 b d) (/.f64 d c)) (/.f64 a d)) | |
| 40.6b | (*.f64 d (/.f64 (neg.f64 a) (fma.f64 c c (*.f64 d d)))) | |
| 46.0b | (fma.f64 (/.f64 b (sqrt.f64 d)) (/.f64 (/.f64 c d) (sqrt.f64 d)) (/.f64 (neg.f64 a) d)) | |
| 45.1b | (fma.f64 (-.f64 (pow.f64 (*.f64 (/.f64 b d) (/.f64 c d)) 2) (pow.f64 (/.f64 a d) 2)) (/.f64 1 (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d))) (fma.f64 (neg.f64 (/.f64 1 d)) a (/.f64 a d))) |
Compiled 3954 to 974 computations (75.4% saved)
Total -50.6b remaining (-377.4%)
Threshold costs -50.6b (-377.4%)
Compiled 777 to 272 computations (65% saved)
| 5× | binary-search |
5 calls:
| 24.0ms | c |
| 24.0ms | c |
| 23.0ms | c |
| 18.0ms | c |
| 18.0ms | c |
| Iters | Point | Range | ||||
|---|---|---|---|---|---|---|
3.788409517828919e+20 | ∈ [ | 3.788409517828919e+20 | , | 5.863021988699278e+28 | ] | |
7.894016947758949e-59 | ∈ [ | 7.894016947758949e-59 | , | 2.0919651753247405e-49 | ] | |
1e-120 | ∈ [ | 4.876650582618203e-125 | , | 7.89490526768885e-112 | ] | |
-1e-158 | ∈ [ | -8.463644006657093e-156 | , | -3.4356935636458093e-159 | ] | |
-1.5821466196364514e+72 | ∈ [ | -1.5821466196364514e+72 | , | -5.1588821931093495e+69 | ] | |
Compiled 99 to 60 computations (39.4% saved)
| 1× | egg-herbie |
| 41× | cancel-sign-sub-inv_binary64 |
| 40× | neg-sub0_binary64 |
| 40× | neg-mul-1_binary64 |
| 39× | distribute-rgt-neg-in_binary64 |
| 34× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 132 |
| 1 | 73 | 132 |
| 2 | 111 | 132 |
| 3 | 153 | 130 |
| 4 | 191 | 130 |
| 5 | 236 | 130 |
| 6 | 300 | 130 |
| 7 | 362 | 130 |
| 8 | 423 | 130 |
| 9 | 449 | 130 |
| 10 | 450 | 130 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 c -1582146619636451418235596121706046764634438778398257218226719882169286656) (-.f64 (/.f64 b c) (/.f64 d (*.f64 c (/.f64 c a)))) (if (<=.f64 c -4946608029462091/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) (-.f64 (/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d))) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) d))) (if (<=.f64 c 5814709794364855/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d) (if (<=.f64 c 9140647148557905920/115792089237316195423570985008687907853269984665640564039457584007913129639936) (neg.f64 (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2))) (if (<=.f64 c 378840951782891913216) (/.f64 (neg.f64 a) d) (-.f64 (/.f64 b c) (/.f64 d (*.f64 c (/.f64 c a))))))))) |
| Outputs |
|---|
(if (<=.f64 c -1582146619636451418235596121706046764634438778398257218226719882169286656) (-.f64 (/.f64 b c) (/.f64 d (*.f64 c (/.f64 c a)))) (if (<=.f64 c -4946608029462091/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) (-.f64 (/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d))) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) d))) (if (<=.f64 c 5814709794364855/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d) (if (<=.f64 c 9140647148557905920/115792089237316195423570985008687907853269984665640564039457584007913129639936) (neg.f64 (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2))) (if (<=.f64 c 378840951782891913216) (/.f64 (neg.f64 a) d) (-.f64 (/.f64 b c) (/.f64 d (*.f64 c (/.f64 c a))))))))) |
(if (<=.f64 c -1582146619636451418235596121706046764634438778398257218226719882169286656) (-.f64 (/.f64 b c) (/.f64 d (*.f64 c (/.f64 c a)))) (if (<=.f64 c -4946608029462091/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) (-.f64 (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) d))) (if (<=.f64 c 5814709794364855/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d) (if (<=.f64 c 2231603307753395/28269553036454149273332760011886696253239742350009903329945699220681916416) (*.f64 (-.f64 (*.f64 d a) (*.f64 c b)) (neg.f64 (pow.f64 (hypot.f64 d c) -2))) (if (<=.f64 c 378840951782891913216) (/.f64 (neg.f64 a) d) (-.f64 (/.f64 b c) (/.f64 d (*.f64 c (/.f64 c a))))))))) |
(if (<=.f64 c -1582146619636451418235596121706046764634438778398257218226719882169286656) (-.f64 (/.f64 b c) (/.f64 d (*.f64 c (/.f64 c a)))) (if (<=.f64 c -4946608029462091/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) (-.f64 (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) d))) (if (<=.f64 c 5814709794364855/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d) (if (<=.f64 c 2231603307753395/28269553036454149273332760011886696253239742350009903329945699220681916416) (*.f64 (pow.f64 (hypot.f64 d c) -2) (+.f64 (*.f64 c b) (*.f64 d (neg.f64 a)))) (if (<=.f64 c 378840951782891913216) (/.f64 (neg.f64 a) d) (-.f64 (/.f64 b c) (/.f64 d (*.f64 c (/.f64 c a))))))))) |
(if (<=.f64 c -1582146619636451418235596121706046764634438778398257218226719882169286656) (-.f64 (/.f64 b c) (/.f64 d (*.f64 c (/.f64 c a)))) (if (<=.f64 c -4946608029462091/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) (-.f64 (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) d))) (if (<=.f64 c 5814709794364855/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d) (if (<=.f64 c 2231603307753395/28269553036454149273332760011886696253239742350009903329945699220681916416) (*.f64 (pow.f64 (hypot.f64 d c) -2) (-.f64 (*.f64 c b) (*.f64 d a))) (if (<=.f64 c 378840951782891913216) (/.f64 (neg.f64 a) d) (-.f64 (/.f64 b c) (/.f64 d (*.f64 c (/.f64 c a))))))))) |
| 1× | fuel |
Compiled 381 to 150 computations (60.6% saved)
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