Time bar (total: 9.3s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 6.2% | 93.6% | 0.1% | 7 |
| 9.4% | 90.5% | 0.1% | 8 |
| 14% | 85.8% | 0.1% | 9 |
| 16.4% | 83.5% | 0.1% | 10 |
| 19.1% | 80.7% | 0.1% | 11 |
| 20.5% | 79.4% | 0.1% | 12 |
| 21.2% | 78.7% | 0.1% | 13 |
| 22.7% | 77.2% | 0.1% | 14 |
Compiled 13 to 9 computations (30.8% saved)
| 2.7s | 3606× | body | 1024 | valid |
| 587.0ms | 1395× | body | 512 | valid |
| 406.0ms | 2466× | body | 128 | valid |
| 274.0ms | 204× | body | 2048 | valid |
| 171.0ms | 585× | body | 256 | valid |
| 1.0ms | 1× | body | 1024 | invalid |
| 0.0ms | 1× | body | 512 | invalid |
Compiled 26 to 18 computations (30.8% saved)
| 2× | egg-herbie |
| 12× | *-commutative_binary64 |
| 8× | associate-/l*_binary64 |
| 8× | associate-/r/_binary64 |
| 3× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 56 |
| 1 | 39 | 56 |
| 2 | 53 | 56 |
| 3 | 65 | 56 |
| 4 | 69 | 56 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 a (sin.f64 b)) (cos.f64 (+.f64 r b))) |
(/.f64 (*.f64 b (sin.f64 r)) (cos.f64 (+.f64 a r))) |
(/.f64 (*.f64 r (sin.f64 a)) (cos.f64 (+.f64 b a))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 a (sin.f64 b)) (cos.f64 (+.f64 r b))) |
(/.f64 a (/.f64 (cos.f64 (+.f64 r b)) (sin.f64 b))) |
(*.f64 (/.f64 a (cos.f64 (+.f64 r b))) (sin.f64 b)) |
(*.f64 (sin.f64 b) (/.f64 a (cos.f64 (+.f64 r b)))) |
(/.f64 (*.f64 b (sin.f64 r)) (cos.f64 (+.f64 a r))) |
(/.f64 b (/.f64 (cos.f64 (+.f64 r a)) (sin.f64 r))) |
(*.f64 (/.f64 b (cos.f64 (+.f64 r a))) (sin.f64 r)) |
(*.f64 (sin.f64 r) (/.f64 b (cos.f64 (+.f64 r a)))) |
(/.f64 (*.f64 b (sin.f64 r)) (cos.f64 (+.f64 r a))) |
(/.f64 (*.f64 r (sin.f64 a)) (cos.f64 (+.f64 b a))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 a))) |
(*.f64 r (/.f64 (sin.f64 a) (cos.f64 (+.f64 b a)))) |
Compiled 12 to 8 computations (33.3% saved)
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 2× | associate-/l*_binary64 |
| 2× | associate-/r/_binary64 |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 14 |
| 1 | 13 | 14 |
| 2 | 17 | 14 |
| 3 | 20 | 14 |
| 4 | 21 | 14 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 14.3b | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
| 14.3b | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 69 to 44 computations (36.2% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
| ✓ | 0.2b | (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
| ✓ | 3.9b | (cos.f64 (+.f64 b a)) |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | a | @ | 0 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
| 3.0ms | a | @ | -inf | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
| 2.0ms | r | @ | 0 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
| 1.0ms | b | @ | 0 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
| 1.0ms | a | @ | 0 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
| 1× | batch-egg-rewrite |
| 583× | prod-diff_binary64 |
| 214× | fma-def_binary64 |
| 196× | expm1-udef_binary64 |
| 196× | log1p-udef_binary64 |
| 119× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 31 |
| 1 | 200 | 31 |
| 2 | 2872 | 31 |
| 1× | node limit |
| Inputs |
|---|
(cos.f64 (+.f64 b a)) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 693× | fma-def_binary64 |
| 621× | associate-*l*_binary64 |
| 442× | associate-/r*_binary64 |
| 196× | associate-/r/_binary64 |
| 178× | associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 156 | 1694 |
| 1 | 471 | 1692 |
| 2 | 1709 | 1630 |
| 1× | node limit |
| Inputs |
|---|
(cos.f64 a) |
(-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)) |
(-.f64 (cos.f64 a) (+.f64 (*.f64 (sin.f64 a) b) (*.f64 1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))) |
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (cos.f64 a)) (+.f64 (*.f64 (sin.f64 a) b) (*.f64 1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 b) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(-.f64 (cos.f64 b) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (*.f64 (sin.f64 b) a))) |
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (cos.f64 b)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (*.f64 (sin.f64 b) a))) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(/.f64 b (cos.f64 a)) |
(+.f64 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)) (/.f64 b (cos.f64 a))) |
(+.f64 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 3)) (pow.f64 (cos.f64 a) 3)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 b 3) (cos.f64 a))) (/.f64 b (cos.f64 a))))) |
(+.f64 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 4)) (pow.f64 (cos.f64 a) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 4)) (pow.f64 (cos.f64 a) 4)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 3)) (pow.f64 (cos.f64 a) 3)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 b 3) (cos.f64 a))) (/.f64 b (cos.f64 a))))))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2))) |
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (pow.f64 a 2)) (cos.f64 b))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 a 2)) (pow.f64 (cos.f64 b) 3))))) |
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 a 2)) (pow.f64 (cos.f64 b) 3)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (pow.f64 a 2)) (cos.f64 b))) (+.f64 (*.f64 5/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 a 3)) (pow.f64 (cos.f64 b) 2))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 a 3)) (pow.f64 (cos.f64 b) 4))))))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 b r) (cos.f64 a)) |
(+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2))) |
(+.f64 (*.f64 1/3 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))) (+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 r (pow.f64 b 3))) (pow.f64 (cos.f64 a) 3))))) |
(+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 4) r)) (pow.f64 (cos.f64 a) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 3) (*.f64 (pow.f64 b 4) r)) (pow.f64 (cos.f64 a) 4)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 (pow.f64 b 3) r)) (pow.f64 (cos.f64 a) 3)) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 b 3) r) (cos.f64 a)))))))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
(+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) r)) (cos.f64 b))) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 (pow.f64 a 2) r)) (pow.f64 (cos.f64 b) 3)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2))))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) r)) (cos.f64 b))) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (*.f64 5/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 (pow.f64 a 2) r)) (pow.f64 (cos.f64 b) 3)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 4) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 4))))))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
| Outputs |
|---|
(cos.f64 a) |
(-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)) |
(fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a)) |
(-.f64 (cos.f64 a) (+.f64 (*.f64 (sin.f64 a) b) (*.f64 1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))) |
(-.f64 (cos.f64 a) (fma.f64 (sin.f64 a) b (*.f64 1/2 (*.f64 (cos.f64 a) (*.f64 b b))))) |
(-.f64 (cos.f64 a) (fma.f64 1/2 (*.f64 (cos.f64 a) (*.f64 b b)) (*.f64 (sin.f64 a) b))) |
(-.f64 (cos.f64 a) (*.f64 b (+.f64 (sin.f64 a) (*.f64 (cos.f64 a) (*.f64 1/2 b))))) |
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (cos.f64 a)) (+.f64 (*.f64 (sin.f64 a) b) (*.f64 1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))) |
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (cos.f64 a)) (fma.f64 (sin.f64 a) b (*.f64 1/2 (*.f64 (cos.f64 a) (*.f64 b b))))) |
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (cos.f64 a)) (fma.f64 1/2 (*.f64 (cos.f64 a) (*.f64 b b)) (*.f64 (sin.f64 a) b))) |
(+.f64 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 (*.f64 (pow.f64 b 3) 1/6) b))) (*.f64 (*.f64 b b) (*.f64 (cos.f64 a) -1/2))) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 b) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))) |
(-.f64 (cos.f64 b) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (*.f64 (sin.f64 b) a))) |
(-.f64 (cos.f64 b) (fma.f64 1/2 (*.f64 (cos.f64 b) (*.f64 a a)) (*.f64 a (sin.f64 b)))) |
(-.f64 (cos.f64 b) (fma.f64 a (sin.f64 b) (*.f64 (cos.f64 b) (*.f64 (*.f64 1/2 a) a)))) |
(-.f64 (cos.f64 b) (fma.f64 a (sin.f64 b) (*.f64 a (*.f64 a (*.f64 (cos.f64 b) 1/2))))) |
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (cos.f64 b)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (*.f64 (sin.f64 b) a))) |
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (cos.f64 b)) (fma.f64 1/2 (*.f64 (cos.f64 b) (*.f64 a a)) (*.f64 a (sin.f64 b)))) |
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (cos.f64 b)) (fma.f64 a (sin.f64 b) (*.f64 (cos.f64 b) (*.f64 (*.f64 1/2 a) a)))) |
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (cos.f64 b)) (fma.f64 a (sin.f64 b) (*.f64 a (*.f64 a (*.f64 (cos.f64 b) 1/2))))) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(/.f64 b (cos.f64 a)) |
(+.f64 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)) (/.f64 b (cos.f64 a))) |
(+.f64 (/.f64 b (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (*.f64 b b)) (pow.f64 (cos.f64 a) 2))) |
(+.f64 (/.f64 b (cos.f64 a)) (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b b))) |
(fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b b) (/.f64 b (cos.f64 a))) |
(+.f64 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 3)) (pow.f64 (cos.f64 a) 3)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 b 3) (cos.f64 a))) (/.f64 b (cos.f64 a))))) |
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 b b)) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 3) (pow.f64 b 3))) (fma.f64 1/3 (/.f64 (pow.f64 b 3) (cos.f64 a)) (/.f64 b (cos.f64 a))))) |
(+.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b b)) (+.f64 (/.f64 (pow.f64 b 3) (/.f64 (pow.f64 (cos.f64 a) 3) (pow.f64 (sin.f64 a) 2))) (fma.f64 1/3 (/.f64 (pow.f64 b 3) (cos.f64 a)) (/.f64 b (cos.f64 a))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 b 3) (cos.f64 a)) (+.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)) 1/3)) (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b b) (/.f64 b (cos.f64 a)))) |
(+.f64 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 4)) (pow.f64 (cos.f64 a) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 4)) (pow.f64 (cos.f64 a) 4)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 3)) (pow.f64 (cos.f64 a) 3)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 b 3) (cos.f64 a))) (/.f64 b (cos.f64 a))))))) |
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 b b)) (pow.f64 (cos.f64 a) 2)) (fma.f64 2/3 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 b 4))) (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 3) (pow.f64 b 3))) (fma.f64 1/3 (/.f64 (pow.f64 b 3) (cos.f64 a)) (/.f64 b (cos.f64 a)))) (/.f64 (pow.f64 (sin.f64 a) 3) (/.f64 (pow.f64 (cos.f64 a) 4) (pow.f64 b 4)))))) |
(+.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b b)) (fma.f64 2/3 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (pow.f64 b 4)) (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 b 3) (cos.f64 a)) (/.f64 b (cos.f64 a))) (+.f64 (/.f64 (pow.f64 b 3) (/.f64 (pow.f64 (cos.f64 a) 3) (pow.f64 (sin.f64 a) 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 (cos.f64 a) 4)) (pow.f64 b 4)))))) |
(fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b b) (fma.f64 2/3 (/.f64 (pow.f64 b 4) (/.f64 (pow.f64 (cos.f64 a) 2) (sin.f64 a))) (+.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 (cos.f64 a) 4)) (pow.f64 b 4) (*.f64 (/.f64 (pow.f64 b 3) (cos.f64 a)) (+.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)) 1/3))) (/.f64 b (cos.f64 a))))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2))) |
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) a))) |
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) a)) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (pow.f64 a 2)) (cos.f64 b))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 a 2)) (pow.f64 (cos.f64 b) 3))))) |
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) a)) (fma.f64 1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (*.f64 a a))) (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) (*.f64 a a)))))) |
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) a) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 a a)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (*.f64 a a))))) |
(+.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) a (*.f64 1/2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 a a)))) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (*.f64 a a) (/.f64 (sin.f64 b) (cos.f64 b)))) |
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 a 2)) (pow.f64 (cos.f64 b) 3)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (pow.f64 a 2)) (cos.f64 b))) (+.f64 (*.f64 5/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 a 3)) (pow.f64 (cos.f64 b) 2))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 a 3)) (pow.f64 (cos.f64 b) 4))))))) |
(+.f64 (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) a))) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) (*.f64 a a))) (fma.f64 1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (*.f64 a a))) (fma.f64 5/6 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 a 3))) (/.f64 (pow.f64 (sin.f64 b) 4) (/.f64 (pow.f64 (cos.f64 b) 4) (pow.f64 a 3))))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) a) (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 a a)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (*.f64 a a))) (fma.f64 5/6 (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (pow.f64 a 3)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 b) 4)) (pow.f64 a 3)))))) |
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) a (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 a a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (*.f64 a a) (fma.f64 5/6 (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (pow.f64 a 3)) (/.f64 (pow.f64 (sin.f64 b) 4) (/.f64 (pow.f64 (cos.f64 b) 4) (pow.f64 a 3)))))))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 b r) (cos.f64 a)) |
(/.f64 b (/.f64 (cos.f64 a) r)) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2))) |
(+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (/.f64 (*.f64 (sin.f64 a) (*.f64 (*.f64 b b) r)) (pow.f64 (cos.f64 a) 2))) |
(+.f64 (*.f64 (/.f64 b (cos.f64 a)) r) (/.f64 (*.f64 (sin.f64 a) (*.f64 b (*.f64 b r))) (pow.f64 (cos.f64 a) 2))) |
(fma.f64 (/.f64 b (cos.f64 a)) r (*.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 (cos.f64 a) 2)) (sin.f64 a)) r)) |
(+.f64 (*.f64 1/3 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))) (+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 r (pow.f64 b 3))) (pow.f64 (cos.f64 a) 3))))) |
(fma.f64 1/3 (/.f64 (pow.f64 b 3) (/.f64 (cos.f64 a) r)) (+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 (*.f64 b b) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (pow.f64 (sin.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 3) (*.f64 (pow.f64 b 3) r)))))) |
(+.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 b (*.f64 b r))) (pow.f64 (cos.f64 a) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) (*.f64 (pow.f64 b 3) r))) (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 b 3) (cos.f64 a)) r) (*.f64 (/.f64 b (cos.f64 a)) r))) |
(+.f64 (fma.f64 (/.f64 b (cos.f64 a)) r (*.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 (cos.f64 a) 2)) (sin.f64 a)) r)) (*.f64 (*.f64 (/.f64 (pow.f64 b 3) (cos.f64 a)) r) (+.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)) 1/3))) |
(+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 4) r)) (pow.f64 (cos.f64 a) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 3) (*.f64 (pow.f64 b 4) r)) (pow.f64 (cos.f64 a) 4)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 (pow.f64 b 3) r)) (pow.f64 (cos.f64 a) 3)) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 b 3) r) (cos.f64 a)))))))) |
(+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 (*.f64 b b) r)) (pow.f64 (cos.f64 a) 2)) (fma.f64 2/3 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 (pow.f64 b 4) r))) (+.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 3) (*.f64 (pow.f64 b 4) r)) (pow.f64 (cos.f64 a) 4)) (/.f64 (pow.f64 (sin.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 3) (*.f64 (pow.f64 b 3) r)))) (/.f64 (*.f64 1/3 (*.f64 (pow.f64 b 3) r)) (cos.f64 a)))))) |
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 b (*.f64 b r))) (pow.f64 (cos.f64 a) 2)) (+.f64 (+.f64 (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 b 3) (cos.f64 a)) r) (*.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) (*.f64 (pow.f64 b 3) r))) (fma.f64 2/3 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 4) r)) (pow.f64 (cos.f64 a) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 (cos.f64 a) 4)) (*.f64 (pow.f64 b 4) r)))) (*.f64 (/.f64 b (cos.f64 a)) r))) |
(fma.f64 (/.f64 b (cos.f64 a)) r (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 (*.f64 b b) r) (fma.f64 2/3 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 4) r)) (pow.f64 (cos.f64 a) 2)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 (cos.f64 a) 4)) (*.f64 (pow.f64 b 4) r) (*.f64 (*.f64 (/.f64 (pow.f64 b 3) (cos.f64 a)) r) (+.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)) 1/3)))))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) |
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2))) |
(+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 a r)))) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 a r))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) r)) (cos.f64 b))) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 (pow.f64 a 2) r)) (pow.f64 (cos.f64 b) 3)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2))))) |
(fma.f64 1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (*.f64 (*.f64 a a) r))) (+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 a r))) (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) (*.f64 (*.f64 a a) r)))))) |
(+.f64 (+.f64 (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 a (*.f64 a r))) (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))) (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 a r)))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (*.f64 a (*.f64 a r)))) |
(fma.f64 1/2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (*.f64 a a) r)) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 a r) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (*.f64 (*.f64 a a) r))))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) r)) (cos.f64 b))) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (*.f64 5/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 (pow.f64 a 2) r)) (pow.f64 (cos.f64 b) 3)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 4) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 4))))))) |
(fma.f64 1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (*.f64 (*.f64 a a) r))) (+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (fma.f64 5/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) (*.f64 (*.f64 a a) r))) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 a r))) (/.f64 (*.f64 (*.f64 (pow.f64 a 3) (pow.f64 (sin.f64 b) 4)) r) (pow.f64 (cos.f64 b) 4))))))) |
(+.f64 (+.f64 (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 a (*.f64 a r))) (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))) (fma.f64 5/6 (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 (pow.f64 a 3) r)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (*.f64 a (*.f64 a r))))) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 a r))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 b) 4)) (*.f64 (pow.f64 a 3) r)))) |
(fma.f64 1/2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (*.f64 a a) r)) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (fma.f64 5/6 (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (pow.f64 a 3)) r) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 b) 4)) (*.f64 (pow.f64 a 3) r) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 a r) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (*.f64 (*.f64 a a) r))))))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 156 | 12 | 168 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 157 | 13 | 170 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.3b | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
| 0.9b | (*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a)))) (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))))) | |
| 0.4b | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 3) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3)) (fma.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))))) | |
| 30.5b | (fma.f64 (/.f64 b (cos.f64 a)) r (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 (*.f64 b b) r) (fma.f64 2/3 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 4) r)) (pow.f64 (cos.f64 a) 2)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 (cos.f64 a) 4)) (*.f64 (pow.f64 b 4) r) (*.f64 (*.f64 (/.f64 (pow.f64 b 3) (cos.f64 a)) r) (+.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)) 1/3)))))) | |
| 15.0b | (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) | |
| 22.8b | (*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))))) | |
| 14.5b | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))) | |
| 14.3b | (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) | |
| 31.7b | (*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 1 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a))) (sqrt.f64 (sin.f64 b)) (*.f64 (*.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))))) | |
| 14.4b | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) | |
| 22.7b | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) | |
| 14.3b | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) | |
| 39.1b | (cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 3)) |
Compiled 5049 to 1712 computations (66.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
| ✓ | 0.2b | (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
| ✓ | 0.2b | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
| ✓ | 0.2b | (*.f64 (sin.f64 b) (sin.f64 a)) |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | a | @ | -inf | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
| 2.0ms | r | @ | 0 | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
| 1.0ms | a | @ | inf | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
| 1.0ms | b | @ | inf | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
| 1.0ms | r | @ | inf | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
| 1× | batch-egg-rewrite |
| 770× | prod-diff_binary64 |
| 357× | egg-rr |
| 145× | add-sqr-sqrt_binary64 |
| 142× | *-un-lft-identity_binary64 |
| 142× | pow1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 75 |
| 1 | 275 | 39 |
| 2 | 3742 | 39 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sin.f64 b) (sin.f64 a)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 b) (sin.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sin.f64 b) (sin.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (-.f64 b a)) 2) (/.f64 (cos.f64 (-.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (-.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (-.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (-.f64 b a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (-.f64 b a)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3)) (+.f64 0 (+.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2) (*.f64 0 (*.f64 (sin.f64 b) (sin.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)) (*.f64 (sin.f64 b) (sin.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (-.f64 b a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 a)) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (sin.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 (sin.f64 b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 r (/.f64 (cos.f64 (-.f64 b a)) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (sin.f64 b) r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 b) r) 1) (cos.f64 (-.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 b) r) (cbrt.f64 (pow.f64 (cos.f64 (-.f64 b a)) 2))) (cbrt.f64 (cos.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 b) r) (sqrt.f64 (cos.f64 (-.f64 b a)))) (sqrt.f64 (cos.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 b)) r) (neg.f64 (cos.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 r (neg.f64 (sin.f64 b))) (neg.f64 (cos.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a)))) r))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 r 3) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) 3) (pow.f64 r 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (/.f64 1 (cos.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a)))) 2) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (*.f64 (cbrt.f64 (sin.f64 b)) (/.f64 1 (cos.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a)))) (sqrt.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 b)) (*.f64 (sqrt.f64 (sin.f64 b)) (/.f64 1 (cos.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 b)) (/.f64 1 (neg.f64 (cos.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (-.f64 b a))) (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 b) 2)) 1) (/.f64 (cbrt.f64 (sin.f64 b)) (cos.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 b)) 1) (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (-.f64 b a)) 2))) (/.f64 (sin.f64 b) (cbrt.f64 (cos.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (cbrt.f64 (pow.f64 (cos.f64 (-.f64 b a)) 2))) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 (-.f64 b a)) 2))) (/.f64 (sqrt.f64 (sin.f64 b)) (cbrt.f64 (cos.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (cos.f64 (-.f64 b a)))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (sqrt.f64 (cos.f64 (-.f64 b a)))) (/.f64 (cbrt.f64 (sin.f64 b)) (sqrt.f64 (cos.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 (-.f64 b a)) (sin.f64 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 (-.f64 b a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 b a)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 b a)) (fma.f64 (neg.f64 (neg.f64 (sin.f64 a))) (sin.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 b a)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 b a)) (fma.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 a) (*.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 b a)) (fma.f64 -1 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 b a)) (fma.f64 1 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 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| 1× | egg-herbie |
| 842× | fma-def_binary64 |
| 440× | associate-/r*_binary64 |
| 236× | cancel-sign-sub-inv_binary64 |
| 196× | associate-/r/_binary64 |
| 178× | associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 187 | 2682 |
| 1 | 578 | 2672 |
| 2 | 2049 | 2586 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sin.f64 a) b) |
(-.f64 (*.f64 (sin.f64 a) b) (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)))) |
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))) (*.f64 (sin.f64 a) b)) (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)))) |
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))) (*.f64 (sin.f64 a) b)) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (*.f64 1/5040 (*.f64 (sin.f64 a) (pow.f64 b 7))))) |
(*.f64 (sin.f64 b) a) |
(-.f64 (*.f64 (sin.f64 b) a) (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)))) |
(-.f64 (+.f64 (*.f64 (sin.f64 b) a) (*.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5)))) (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)))) |
(-.f64 (+.f64 (*.f64 (sin.f64 b) a) (*.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5)))) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (*.f64 1/5040 (*.f64 (sin.f64 b) (pow.f64 a 7))))) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 b r) (cos.f64 a)) |
(+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2))) |
(+.f64 (*.f64 1/3 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))) (+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 r (pow.f64 b 3))) (pow.f64 (cos.f64 a) 3))))) |
(+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 4) r)) (pow.f64 (cos.f64 a) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 3) (*.f64 (pow.f64 b 4) r)) (pow.f64 (cos.f64 a) 4)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 (pow.f64 b 3) r)) (pow.f64 (cos.f64 a) 3)) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 b 3) r) (cos.f64 a)))))))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
(+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) r)) (cos.f64 b))) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 (pow.f64 a 2) r)) (pow.f64 (cos.f64 b) 3)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2))))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) r)) (cos.f64 b))) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (*.f64 5/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 (pow.f64 a 2) r)) (pow.f64 (cos.f64 b) 3)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 4) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 4))))))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 b (cos.f64 a)) |
(+.f64 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)) (/.f64 b (cos.f64 a))) |
(+.f64 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 3)) (pow.f64 (cos.f64 a) 3)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 b 3) (cos.f64 a))) (/.f64 b (cos.f64 a))))) |
(+.f64 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 4)) (pow.f64 (cos.f64 a) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 4)) (pow.f64 (cos.f64 a) 4)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 3)) (pow.f64 (cos.f64 a) 3)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 b 3) (cos.f64 a))) (/.f64 b (cos.f64 a))))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2))) |
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (pow.f64 a 2)) (cos.f64 b))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 a 2)) (pow.f64 (cos.f64 b) 3))))) |
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 a 2)) (pow.f64 (cos.f64 b) 3)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (pow.f64 a 2)) (cos.f64 b))) (+.f64 (*.f64 5/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 a 3)) (pow.f64 (cos.f64 b) 2))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 a 3)) (pow.f64 (cos.f64 b) 4))))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(cos.f64 a) |
(-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)) |
(-.f64 (cos.f64 a) (+.f64 (*.f64 (sin.f64 a) b) (*.f64 1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))) |
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (cos.f64 a)) (+.f64 (*.f64 (sin.f64 a) b) (*.f64 1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(cos.f64 b) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(-.f64 (cos.f64 b) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (*.f64 (sin.f64 b) a))) |
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (cos.f64 b)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (*.f64 (sin.f64 b) a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
| Outputs |
|---|
(*.f64 (sin.f64 a) b) |
(-.f64 (*.f64 (sin.f64 a) b) (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)))) |
(+.f64 (*.f64 (sin.f64 a) b) (*.f64 -1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)))) |
(fma.f64 (sin.f64 a) b (*.f64 (*.f64 -1/6 (sin.f64 a)) (pow.f64 b 3))) |
(*.f64 (sin.f64 a) (-.f64 b (*.f64 1/6 (pow.f64 b 3)))) |
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))) (*.f64 (sin.f64 a) b)) (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)))) |
(+.f64 (fma.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)) (*.f64 (sin.f64 a) b)) (*.f64 -1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)))) |
(fma.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)) (fma.f64 (sin.f64 a) b (*.f64 (*.f64 -1/6 (sin.f64 a)) (pow.f64 b 3)))) |
(fma.f64 (sin.f64 a) (*.f64 (pow.f64 b 5) 1/120) (*.f64 (sin.f64 a) (-.f64 b (*.f64 1/6 (pow.f64 b 3))))) |
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))) (*.f64 (sin.f64 a) b)) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (*.f64 1/5040 (*.f64 (sin.f64 a) (pow.f64 b 7))))) |
(-.f64 (fma.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)) (*.f64 (sin.f64 a) b)) (fma.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (*.f64 1/5040 (*.f64 (sin.f64 a) (pow.f64 b 7))))) |
(-.f64 (fma.f64 (sin.f64 a) b (*.f64 (pow.f64 b 5) (*.f64 (sin.f64 a) 1/120))) (fma.f64 1/5040 (*.f64 (sin.f64 a) (pow.f64 b 7)) (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 3) 1/6)))) |
(+.f64 (*.f64 (sin.f64 a) (+.f64 (*.f64 1/120 (pow.f64 b 5)) b)) (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/6 (pow.f64 b 3)) (*.f64 1/5040 (pow.f64 b 7))))) |
(*.f64 (sin.f64 b) a) |
(*.f64 a (sin.f64 b)) |
(-.f64 (*.f64 (sin.f64 b) a) (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)))) |
(+.f64 (*.f64 a (sin.f64 b)) (*.f64 -1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)))) |
(fma.f64 a (sin.f64 b) (*.f64 (*.f64 -1/6 (sin.f64 b)) (pow.f64 a 3))) |
(*.f64 (sin.f64 b) (-.f64 a (*.f64 1/6 (pow.f64 a 3)))) |
(-.f64 (+.f64 (*.f64 (sin.f64 b) a) (*.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5)))) (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)))) |
(+.f64 (fma.f64 (sin.f64 b) a (*.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5)))) (*.f64 -1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)))) |
(fma.f64 a (sin.f64 b) (fma.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5)) (*.f64 (*.f64 -1/6 (sin.f64 b)) (pow.f64 a 3)))) |
(fma.f64 a (sin.f64 b) (*.f64 (sin.f64 b) (-.f64 (*.f64 (pow.f64 a 5) 1/120) (*.f64 (pow.f64 a 3) 1/6)))) |
(-.f64 (+.f64 (*.f64 (sin.f64 b) a) (*.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5)))) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (*.f64 1/5040 (*.f64 (sin.f64 b) (pow.f64 a 7))))) |
(-.f64 (fma.f64 (sin.f64 b) a (*.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5)))) (fma.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (*.f64 1/5040 (*.f64 (sin.f64 b) (pow.f64 a 7))))) |
(-.f64 (fma.f64 a (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 5) 1/120))) (fma.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (*.f64 (pow.f64 a 7) (*.f64 1/5040 (sin.f64 b))))) |
(+.f64 (*.f64 (sin.f64 b) (+.f64 (*.f64 1/120 (pow.f64 a 5)) a)) (*.f64 (sin.f64 b) (-.f64 (*.f64 -1/6 (pow.f64 a 3)) (*.f64 1/5040 (pow.f64 a 7))))) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
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(/.f64 (sin.f64 b) (cos.f64 b)) |
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(cos.f64 a) |
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(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
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(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(cos.f64 b) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))) |
(-.f64 (cos.f64 b) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (*.f64 (sin.f64 b) a))) |
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(-.f64 (cos.f64 b) (fma.f64 a (sin.f64 b) (*.f64 (*.f64 a a) (*.f64 (cos.f64 b) 1/2)))) |
(-.f64 (cos.f64 b) (fma.f64 a (sin.f64 b) (*.f64 (cos.f64 b) (*.f64 1/2 (*.f64 a a))))) |
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (cos.f64 b)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (*.f64 (sin.f64 b) a))) |
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (cos.f64 b)) (fma.f64 1/2 (*.f64 (cos.f64 b) (*.f64 a a)) (*.f64 a (sin.f64 b)))) |
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (cos.f64 b)) (fma.f64 a (sin.f64 b) (*.f64 (*.f64 a a) (*.f64 (cos.f64 b) 1/2)))) |
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (cos.f64 b)) (fma.f64 a (sin.f64 b) (*.f64 (cos.f64 b) (*.f64 1/2 (*.f64 a a))))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 500 | 7 | 507 |
| Fresh | 6 | 6 | 12 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 507 | 13 | 520 |
| Status | Error | Program |
|---|---|---|
| 14.5b | (*.f64 r (/.f64 (sin.f64 b) (expm1.f64 (log1p.f64 (cos.f64 (-.f64 b a)))))) | |
| 30.5b | (fma.f64 (/.f64 b (cos.f64 a)) r (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 (*.f64 b b) r) (fma.f64 2/3 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 4) r)) (pow.f64 (cos.f64 a) 2)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 (cos.f64 a) 4)) (*.f64 (pow.f64 b 4) r) (*.f64 (*.f64 (/.f64 (pow.f64 b 3) (cos.f64 a)) r) (+.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)) 1/3)))))) | |
| 41.9b | (*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (*.f64 (cos.f64 b) (sqrt.f64 (cos.f64 a))) (sqrt.f64 (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a))) (sqrt.f64 (sin.f64 b)) (*.f64 (*.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))))) | |
| 22.7b | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) | |
| 0.3b | (*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))))) | |
| 0.3b | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) | |
| 0.9b | (*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a)))) (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))))) | |
| 15.0b | (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) | |
| 14.4b | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) | |
| 0.7b | (*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (*.f64 (cos.f64 b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (cbrt.f64 (cos.f64 a)) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (*.f64 (sin.f64 a) (cbrt.f64 (pow.f64 (sin.f64 b) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 b))) (*.f64 (sin.f64 a) (cbrt.f64 (pow.f64 (sin.f64 b) 2))) (*.f64 (cbrt.f64 (sin.f64 b)) (*.f64 (sin.f64 a) (cbrt.f64 (pow.f64 (sin.f64 b) 2)))))))) | |
| 0.4b | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 a)) (sin.f64 b))))))) | |
| 39.1b | (cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 3)) | |
| ▶ | 0.3b | (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b)) |
Compiled 19909 to 4994 computations (74.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (cos.f64 a) (cos.f64 b)) |
| ✓ | 0.2b | (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
| ✓ | 0.2b | (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b)) |
| ✓ | 0.2b | (*.f64 (sin.f64 a) (sin.f64 b)) |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | inf | (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b)) |
| 1.0ms | a | @ | 0 | (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
| 1.0ms | r | @ | 0 | (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b)) |
| 1.0ms | b | @ | 0 | (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
| 1.0ms | r | @ | inf | (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b)) |
| 1× | batch-egg-rewrite |
| 275× | expm1-udef_binary64 |
| 275× | log1p-udef_binary64 |
| 156× | add-sqr-sqrt_binary64 |
| 154× | *-un-lft-identity_binary64 |
| 154× | pow1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 63 |
| 1 | 293 | 39 |
| 2 | 4231 | 39 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sin.f64 a) (sin.f64 b)) |
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b)) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 a) (sin.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (-.f64 a b)) 2) (/.f64 (cos.f64 (+.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 a) (sin.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 a) (sin.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 b)) (sin.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 a) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 a) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 a) (sin.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 a) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 a) (sin.f64 b)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 b) r) 1) (cos.f64 (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 b) r) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))) (cbrt.f64 (cos.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 b) r) (sqrt.f64 (cos.f64 (+.f64 a b)))) (sqrt.f64 (cos.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (neg.f64 (cos.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (/.f64 r (cos.f64 (+.f64 a b))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 a b))) 3) (pow.f64 (sin.f64 b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 r (cos.f64 (+.f64 a b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (/.f64 1 (cos.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (cos.f64 (+.f64 a b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 r (cos.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))) (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))) 2) (cbrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 r) 2) (*.f64 (cbrt.f64 r) (/.f64 1 (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))) (sqrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 r) (*.f64 (sqrt.f64 r) (/.f64 1 (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 r) (/.f64 1 (neg.f64 (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (+.f64 a b))) r)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 r) 2) 1) (/.f64 (cbrt.f64 r) (cos.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 r) 1) (/.f64 (sqrt.f64 r) (cos.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))) (/.f64 r (cbrt.f64 (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 r) 2) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))) (cbrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 r) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))) (/.f64 (sqrt.f64 r) (cbrt.f64 (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 r) 2) (sqrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 (cbrt.f64 r) (sqrt.f64 (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) 3) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 3))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) 2) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 r (cos.f64 (+.f64 a b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 a b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 (+.f64 a b)) r) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 a b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 r (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 r (cos.f64 (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 a b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 r 3) (pow.f64 (cos.f64 (+.f64 a b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 a b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 r (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 r (cos.f64 (+.f64 a b))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 a) (cos.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 a) (cos.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 a) (cos.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 a)) (cos.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 a) (cos.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 a) (cos.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 a) (cos.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 a) (cos.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 a) (cos.f64 b)))))))) |
| 1× | egg-herbie |
| 479× | associate-/r*_binary64 |
| 303× | cancel-sign-sub-inv_binary64 |
| 217× | associate-/r/_binary64 |
| 187× | associate-*l/_binary64 |
| 184× | associate-*r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 204 | 2391 |
| 1 | 650 | 2365 |
| 2 | 2307 | 2262 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sin.f64 b) a) |
(-.f64 (*.f64 (sin.f64 b) a) (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)))) |
(-.f64 (+.f64 (*.f64 (sin.f64 b) a) (*.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5)))) (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)))) |
(-.f64 (+.f64 (*.f64 (sin.f64 b) a) (*.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5)))) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (*.f64 1/5040 (*.f64 (sin.f64 b) (pow.f64 a 7))))) |
(*.f64 (sin.f64 a) b) |
(-.f64 (*.f64 (sin.f64 a) b) (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)))) |
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))) (*.f64 (sin.f64 a) b)) (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)))) |
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))) (*.f64 (sin.f64 a) b)) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (*.f64 1/5040 (*.f64 (sin.f64 a) (pow.f64 b 7))))) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
(+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) r)) (cos.f64 b))) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 (pow.f64 a 2) r)) (pow.f64 (cos.f64 b) 3)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2))))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) r)) (cos.f64 b))) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (*.f64 5/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 (pow.f64 a 2) r)) (pow.f64 (cos.f64 b) 3)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 4) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 4))))))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 b r) (cos.f64 a)) |
(+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2))) |
(+.f64 (*.f64 1/3 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))) (+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 r (pow.f64 b 3))) (pow.f64 (cos.f64 a) 3))))) |
(+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 4) r)) (pow.f64 (cos.f64 a) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 3) (*.f64 (pow.f64 b 4) r)) (pow.f64 (cos.f64 a) 4)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 (pow.f64 b 3) r)) (pow.f64 (cos.f64 a) 3)) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 b 3) r) (cos.f64 a)))))))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (cos.f64 b)) |
(+.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 r (cos.f64 b))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) r) (cos.f64 b))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 (pow.f64 a 2) r)) (pow.f64 (cos.f64 b) 3)) (+.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 r (cos.f64 b))))) |
(+.f64 (*.f64 5/6 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 4)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) r) (cos.f64 b))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 (pow.f64 a 2) r)) (pow.f64 (cos.f64 b) 3)) (+.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 r (cos.f64 b))))))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (cos.f64 a)) |
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 b r)) (pow.f64 (cos.f64 a) 2)) (/.f64 r (cos.f64 a))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 3)) (+.f64 (/.f64 r (cos.f64 a)) (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r b)) (pow.f64 (cos.f64 a) 2)) (*.f64 1/2 (/.f64 (*.f64 r (pow.f64 b 2)) (cos.f64 a)))))) |
(+.f64 (*.f64 5/6 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 3) r)) (pow.f64 (cos.f64 a) 2))) (+.f64 (/.f64 r (cos.f64 a)) (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r b)) (pow.f64 (cos.f64 a) 2)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 b 2) r) (cos.f64 a))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 3)) (/.f64 (*.f64 (pow.f64 (sin.f64 a) 3) (*.f64 (pow.f64 b 3) r)) (pow.f64 (cos.f64 a) 4))))))) |
(cos.f64 b) |
(-.f64 (cos.f64 b) (*.f64 1/2 (*.f64 (pow.f64 a 2) (cos.f64 b)))) |
(-.f64 (+.f64 (cos.f64 b) (*.f64 1/24 (*.f64 (pow.f64 a 4) (cos.f64 b)))) (*.f64 1/2 (*.f64 (pow.f64 a 2) (cos.f64 b)))) |
(-.f64 (+.f64 (cos.f64 b) (*.f64 1/24 (*.f64 (pow.f64 a 4) (cos.f64 b)))) (+.f64 (*.f64 1/720 (*.f64 (pow.f64 a 6) (cos.f64 b))) (*.f64 1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))))) |
(cos.f64 a) |
(-.f64 (cos.f64 a) (*.f64 1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))) |
(-.f64 (+.f64 (cos.f64 a) (*.f64 1/24 (*.f64 (cos.f64 a) (pow.f64 b 4)))) (*.f64 1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))) |
(-.f64 (+.f64 (cos.f64 a) (*.f64 1/24 (*.f64 (cos.f64 a) (pow.f64 b 4)))) (+.f64 (*.f64 1/720 (*.f64 (cos.f64 a) (pow.f64 b 6))) (*.f64 1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))) |
| Outputs |
|---|
(*.f64 (sin.f64 b) a) |
(-.f64 (*.f64 (sin.f64 b) a) (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)))) |
(+.f64 (*.f64 (sin.f64 b) a) (*.f64 -1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)))) |
(fma.f64 (sin.f64 b) a (*.f64 (*.f64 -1/6 (sin.f64 b)) (pow.f64 a 3))) |
(*.f64 (sin.f64 b) (-.f64 a (*.f64 1/6 (pow.f64 a 3)))) |
(-.f64 (+.f64 (*.f64 (sin.f64 b) a) (*.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5)))) (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)))) |
(+.f64 (fma.f64 (sin.f64 b) a (*.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5)))) (*.f64 -1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)))) |
(fma.f64 (sin.f64 b) a (fma.f64 (*.f64 (sin.f64 b) 1/120) (pow.f64 a 5) (*.f64 (*.f64 -1/6 (sin.f64 b)) (pow.f64 a 3)))) |
(fma.f64 (sin.f64 b) a (*.f64 (sin.f64 b) (-.f64 (*.f64 1/120 (pow.f64 a 5)) (*.f64 1/6 (pow.f64 a 3))))) |
(-.f64 (+.f64 (*.f64 (sin.f64 b) a) (*.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5)))) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (*.f64 1/5040 (*.f64 (sin.f64 b) (pow.f64 a 7))))) |
(-.f64 (fma.f64 (sin.f64 b) a (*.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5)))) (fma.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (*.f64 1/5040 (*.f64 (sin.f64 b) (pow.f64 a 7))))) |
(-.f64 (fma.f64 (sin.f64 b) a (fma.f64 (*.f64 (sin.f64 b) 1/120) (pow.f64 a 5) (*.f64 (*.f64 -1/6 (sin.f64 b)) (pow.f64 a 3)))) (*.f64 (pow.f64 a 7) (*.f64 (sin.f64 b) 1/5040))) |
(+.f64 (*.f64 (sin.f64 b) (+.f64 a (*.f64 1/120 (pow.f64 a 5)))) (*.f64 (sin.f64 b) (-.f64 (*.f64 -1/6 (pow.f64 a 3)) (*.f64 1/5040 (pow.f64 a 7))))) |
(*.f64 (sin.f64 a) b) |
(*.f64 b (sin.f64 a)) |
(-.f64 (*.f64 (sin.f64 a) b) (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)))) |
(+.f64 (*.f64 b (sin.f64 a)) (*.f64 -1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)))) |
(fma.f64 b (sin.f64 a) (*.f64 (*.f64 (sin.f64 a) (pow.f64 b 3)) -1/6)) |
(*.f64 (sin.f64 a) (-.f64 b (*.f64 1/6 (pow.f64 b 3)))) |
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))) (*.f64 (sin.f64 a) b)) (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)))) |
(-.f64 (fma.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)) (*.f64 b (sin.f64 a))) (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)))) |
(fma.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)) (fma.f64 b (sin.f64 a) (*.f64 (*.f64 (sin.f64 a) (pow.f64 b 3)) -1/6))) |
(fma.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)) (*.f64 (sin.f64 a) (-.f64 b (*.f64 1/6 (pow.f64 b 3))))) |
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))) (*.f64 (sin.f64 a) b)) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (*.f64 1/5040 (*.f64 (sin.f64 a) (pow.f64 b 7))))) |
(-.f64 (fma.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)) (*.f64 b (sin.f64 a))) (fma.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (*.f64 1/5040 (*.f64 (sin.f64 a) (pow.f64 b 7))))) |
(+.f64 (fma.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)) (fma.f64 b (sin.f64 a) (*.f64 (*.f64 (sin.f64 a) (pow.f64 b 3)) -1/6))) (*.f64 -1/5040 (*.f64 (sin.f64 a) (pow.f64 b 7)))) |
(+.f64 (*.f64 (sin.f64 a) (+.f64 b (*.f64 1/120 (pow.f64 b 5)))) (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/6 (pow.f64 b 3)) (*.f64 1/5040 (pow.f64 b 7))))) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) r) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) r) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) r) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) r) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) r) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) r) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) r) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) r) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) r) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) r) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) r) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) r) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) |
(+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2))) |
(+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 a r)))) |
(+.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 a r)))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) r)) (cos.f64 b))) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 (pow.f64 a 2) r)) (pow.f64 (cos.f64 b) 3)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2))))) |
(fma.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 r (*.f64 a a))) (cos.f64 b)) (+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 a r))) (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) (*.f64 r (*.f64 a a))))))) |
(+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 a r))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (*.f64 a (*.f64 a r)))) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 a (*.f64 a r))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))) |
(+.f64 (*.f64 (/.f64 r (cos.f64 b)) (+.f64 (/.f64 (*.f64 a (pow.f64 (sin.f64 b) 2)) (cos.f64 b)) (/.f64 (*.f64 (*.f64 a a) (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 2)))) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (*.f64 a a)) (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) r)) (cos.f64 b))) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (*.f64 5/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 (pow.f64 a 2) r)) (pow.f64 (cos.f64 b) 3)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 4) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 4))))))) |
(fma.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 r (*.f64 a a))) (cos.f64 b)) (+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (fma.f64 5/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) (*.f64 r (*.f64 a a)))) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 a r))) (/.f64 (pow.f64 (sin.f64 b) 4) (/.f64 (pow.f64 (cos.f64 b) 4) (*.f64 (pow.f64 a 3) r)))))))) |
(+.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 a r))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 b) 4)) (*.f64 (pow.f64 a 3) r))) (fma.f64 5/6 (/.f64 (*.f64 (pow.f64 a 3) r) (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (sin.f64 b) 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (*.f64 a (*.f64 a r))))) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 a (*.f64 a r))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))) |
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(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 b) a) (cos.f64 b)) 1) (/.f64 r (cos.f64 b))) (*.f64 (*.f64 (/.f64 r (cos.f64 b)) (*.f64 a a)) (+.f64 1/2 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))))) |
(+.f64 (*.f64 5/6 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 4)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) r) (cos.f64 b))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 (pow.f64 a 2) r)) (pow.f64 (cos.f64 b) 3)) (+.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 r (cos.f64 b))))))) |
(fma.f64 5/6 (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 (pow.f64 a 3) r))) (+.f64 (fma.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (cos.f64 b) r)) (+.f64 (+.f64 (/.f64 r (cos.f64 b)) (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 a r)))) (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 3) (*.f64 r (*.f64 a a)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 4)))) |
(+.f64 (+.f64 (+.f64 (/.f64 r (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) a) (/.f64 (pow.f64 (cos.f64 b) 2) r))) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 a a) (cos.f64 b)) r) (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 3) (*.f64 a (*.f64 a r)))))) (fma.f64 5/6 (*.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) (*.f64 (pow.f64 a 3) r)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 4)) (*.f64 (pow.f64 a 3) r)))) |
(+.f64 (+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 b) a) (cos.f64 b)) 1) (/.f64 r (cos.f64 b))) (*.f64 (*.f64 (/.f64 r (cos.f64 b)) (*.f64 a a)) (+.f64 1/2 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))))) (fma.f64 5/6 (*.f64 (/.f64 (*.f64 (pow.f64 a 3) r) (pow.f64 (cos.f64 b) 2)) (sin.f64 b)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 4)) (*.f64 (pow.f64 a 3) r)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) |
(/.f64 r (cos.f64 a)) |
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 b r)) (pow.f64 (cos.f64 a) 2)) (/.f64 r (cos.f64 a))) |
(+.f64 (/.f64 r (cos.f64 a)) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 b r)))) |
(+.f64 (/.f64 r (cos.f64 a)) (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b r))) |
(*.f64 (+.f64 (/.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) 1) (/.f64 r (cos.f64 a))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 3)) (+.f64 (/.f64 r (cos.f64 a)) (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r b)) (pow.f64 (cos.f64 a) 2)) (*.f64 1/2 (/.f64 (*.f64 r (pow.f64 b 2)) (cos.f64 a)))))) |
(+.f64 (+.f64 (/.f64 r (cos.f64 a)) (+.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 b r))) (*.f64 1/2 (/.f64 r (/.f64 (cos.f64 a) (*.f64 b b)))))) (/.f64 (*.f64 (*.f64 r (*.f64 b b)) (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3))) |
(+.f64 (fma.f64 1/2 (/.f64 r (/.f64 (cos.f64 a) (*.f64 b b))) (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b r))) (+.f64 (/.f64 r (cos.f64 a)) (*.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) (*.f64 b (*.f64 b r))))) |
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) 1) (/.f64 r (cos.f64 a))) (*.f64 (*.f64 (/.f64 b (/.f64 (cos.f64 a) r)) b) (+.f64 1/2 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2))))) |
(+.f64 (*.f64 5/6 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 3) r)) (pow.f64 (cos.f64 a) 2))) (+.f64 (/.f64 r (cos.f64 a)) (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r b)) (pow.f64 (cos.f64 a) 2)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 b 2) r) (cos.f64 a))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 3)) (/.f64 (*.f64 (pow.f64 (sin.f64 a) 3) (*.f64 (pow.f64 b 3) r)) (pow.f64 (cos.f64 a) 4))))))) |
(fma.f64 5/6 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 (pow.f64 b 3) r))) (+.f64 (/.f64 r (cos.f64 a)) (+.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 b r))) (fma.f64 1/2 (/.f64 r (/.f64 (cos.f64 a) (*.f64 b b))) (+.f64 (/.f64 (*.f64 (*.f64 r (*.f64 b b)) (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3)) (/.f64 (pow.f64 (sin.f64 a) 3) (/.f64 (pow.f64 (cos.f64 a) 4) (*.f64 (pow.f64 b 3) r)))))))) |
(+.f64 (+.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b r)) (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 (cos.f64 a) 4)) (*.f64 (pow.f64 b 3) r)) (fma.f64 1/2 (/.f64 r (/.f64 (cos.f64 a) (*.f64 b b))) (*.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) (*.f64 b (*.f64 b r)))))) (fma.f64 5/6 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 (pow.f64 b 3) r))) (/.f64 r (cos.f64 a)))) |
(fma.f64 5/6 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 (pow.f64 b 3) r)) (+.f64 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 (cos.f64 a) 4)) (*.f64 (pow.f64 b 3) r)) (*.f64 (*.f64 (/.f64 b (/.f64 (cos.f64 a) r)) b) (+.f64 1/2 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2))))) (*.f64 (+.f64 (/.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) 1) (/.f64 r (cos.f64 a))))) |
(cos.f64 b) |
(-.f64 (cos.f64 b) (*.f64 1/2 (*.f64 (pow.f64 a 2) (cos.f64 b)))) |
(+.f64 (cos.f64 b) (*.f64 -1/2 (*.f64 (cos.f64 b) (*.f64 a a)))) |
(+.f64 (cos.f64 b) (*.f64 (*.f64 (cos.f64 b) (*.f64 a a)) -1/2)) |
(*.f64 (+.f64 (*.f64 (*.f64 a a) -1/2) 1) (cos.f64 b)) |
(-.f64 (+.f64 (cos.f64 b) (*.f64 1/24 (*.f64 (pow.f64 a 4) (cos.f64 b)))) (*.f64 1/2 (*.f64 (pow.f64 a 2) (cos.f64 b)))) |
(-.f64 (+.f64 (cos.f64 b) (*.f64 1/24 (*.f64 (cos.f64 b) (pow.f64 a 4)))) (*.f64 1/2 (*.f64 (cos.f64 b) (*.f64 a a)))) |
(+.f64 (cos.f64 b) (*.f64 (cos.f64 b) (-.f64 (*.f64 1/24 (pow.f64 a 4)) (*.f64 1/2 (*.f64 a a))))) |
(+.f64 (cos.f64 b) (*.f64 (cos.f64 b) (fma.f64 1/24 (pow.f64 a 4) (*.f64 (*.f64 a a) -1/2)))) |
(-.f64 (+.f64 (cos.f64 b) (*.f64 1/24 (*.f64 (pow.f64 a 4) (cos.f64 b)))) (+.f64 (*.f64 1/720 (*.f64 (pow.f64 a 6) (cos.f64 b))) (*.f64 1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))))) |
(-.f64 (+.f64 (cos.f64 b) (*.f64 1/24 (*.f64 (cos.f64 b) (pow.f64 a 4)))) (fma.f64 1/720 (*.f64 (cos.f64 b) (pow.f64 a 6)) (*.f64 1/2 (*.f64 (cos.f64 b) (*.f64 a a))))) |
(-.f64 (fma.f64 1/24 (*.f64 (cos.f64 b) (pow.f64 a 4)) (cos.f64 b)) (*.f64 (cos.f64 b) (+.f64 (*.f64 1/720 (pow.f64 a 6)) (*.f64 1/2 (*.f64 a a))))) |
(+.f64 (cos.f64 b) (*.f64 (cos.f64 b) (-.f64 (fma.f64 1/24 (pow.f64 a 4) (*.f64 (*.f64 a a) -1/2)) (*.f64 1/720 (pow.f64 a 6))))) |
(cos.f64 a) |
(-.f64 (cos.f64 a) (*.f64 1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))) |
(+.f64 (cos.f64 a) (*.f64 -1/2 (*.f64 (cos.f64 a) (*.f64 b b)))) |
(+.f64 (cos.f64 a) (*.f64 (*.f64 -1/2 (*.f64 b b)) (cos.f64 a))) |
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 b b)) 1) (cos.f64 a)) |
(-.f64 (+.f64 (cos.f64 a) (*.f64 1/24 (*.f64 (cos.f64 a) (pow.f64 b 4)))) (*.f64 1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))) |
(+.f64 (cos.f64 a) (-.f64 (*.f64 (*.f64 1/24 (cos.f64 a)) (pow.f64 b 4)) (*.f64 1/2 (*.f64 (cos.f64 a) (*.f64 b b))))) |
(+.f64 (cos.f64 a) (fma.f64 (*.f64 (cos.f64 a) 1/24) (pow.f64 b 4) (*.f64 (*.f64 -1/2 (*.f64 b b)) (cos.f64 a)))) |
(+.f64 (cos.f64 a) (*.f64 (cos.f64 a) (-.f64 (*.f64 (pow.f64 b 4) 1/24) (*.f64 (*.f64 b b) 1/2)))) |
(-.f64 (+.f64 (cos.f64 a) (*.f64 1/24 (*.f64 (cos.f64 a) (pow.f64 b 4)))) (+.f64 (*.f64 1/720 (*.f64 (cos.f64 a) (pow.f64 b 6))) (*.f64 1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))) |
(-.f64 (+.f64 (cos.f64 a) (*.f64 (*.f64 1/24 (cos.f64 a)) (pow.f64 b 4))) (fma.f64 1/720 (*.f64 (cos.f64 a) (pow.f64 b 6)) (*.f64 1/2 (*.f64 (cos.f64 a) (*.f64 b b))))) |
(-.f64 (fma.f64 1/24 (*.f64 (cos.f64 a) (pow.f64 b 4)) (cos.f64 a)) (fma.f64 1/2 (*.f64 (cos.f64 a) (*.f64 b b)) (*.f64 (pow.f64 b 6) (*.f64 (cos.f64 a) 1/720)))) |
(-.f64 (fma.f64 1/24 (*.f64 (cos.f64 a) (pow.f64 b 4)) (cos.f64 a)) (*.f64 (cos.f64 a) (+.f64 (*.f64 1/720 (pow.f64 b 6)) (*.f64 1/2 (*.f64 b b))))) |
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 154 | 6 | 160 |
| Fresh | 5 | 7 | 12 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 160 | 13 | 173 |
| Status | Error | Program |
|---|---|---|
| 14.3b | (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) | |
| 0.9b | (*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a)))) (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))))) | |
| 0.3b | (*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))))) | |
| 0.3b | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) | |
| 0.4b | (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (log.f64 (pow.f64 (exp.f64 (sin.f64 b)) (sin.f64 a))))) (sin.f64 b)) | |
| 22.7b | (*.f64 (/.f64 r (-.f64 (exp.f64 (log.f64 (*.f64 (cos.f64 a) (cos.f64 b)))) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b)) | |
| 0.7b | (*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (*.f64 (cos.f64 b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (cbrt.f64 (cos.f64 a)) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (*.f64 (sin.f64 a) (cbrt.f64 (pow.f64 (sin.f64 b) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 b))) (*.f64 (sin.f64 a) (cbrt.f64 (pow.f64 (sin.f64 b) 2))) (*.f64 (cbrt.f64 (sin.f64 b)) (*.f64 (sin.f64 a) (cbrt.f64 (pow.f64 (sin.f64 b) 2)))))))) | |
| 22.7b | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) | |
| 13.5b | (*.f64 (*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) 3) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 3))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) 2) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b))))) (sin.f64 b)) | |
| 0.4b | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 a)) (sin.f64 b))))))) | |
| 39.1b | (cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 3)) | |
| ▶ | 0.3b | (*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) (sin.f64 b)) |
| 0.6b | (*.f64 (/.f64 r (-.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 a) (cos.f64 b)))) 1) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b)) |
Compiled 4380 to 1822 computations (58.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))) |
| ✓ | 0.2b | (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) |
| ✓ | 0.2b | (*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) (sin.f64 b)) |
| ✓ | 0.2b | (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | r | @ | 0 | (*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) (sin.f64 b)) |
| 1.0ms | b | @ | -inf | (*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) (sin.f64 b)) |
| 1.0ms | r | @ | inf | (*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) (sin.f64 b)) |
| 1.0ms | b | @ | -inf | (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) |
| 1.0ms | b | @ | 0 | (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) |
| 1× | batch-egg-rewrite |
| 324× | prod-diff_binary64 |
| 233× | expm1-udef_binary64 |
| 233× | log1p-udef_binary64 |
| 141× | egg-rr |
| 139× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 75 |
| 1 | 267 | 67 |
| 2 | 3504 | 67 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) |
(*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) (sin.f64 b)) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))) |
| Outputs |
|---|
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(sqrt.f64 (sin.f64 b))) (*.f64 (sqrt.f64 (sin.f64 b)) (*.f64 (sin.f64 a) (sqrt.f64 (sin.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cos.f64 a) (sqrt.f64 (cos.f64 b))) (sqrt.f64 (cos.f64 b)) (neg.f64 (*.f64 (sqrt.f64 (sin.f64 b)) (*.f64 (sin.f64 a) (sqrt.f64 (sin.f64 b)))))) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 b))) (*.f64 (sin.f64 a) (sqrt.f64 (sin.f64 b))) (*.f64 (sqrt.f64 (sin.f64 b)) (*.f64 (sin.f64 a) (sqrt.f64 (sin.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) 2)) (cbrt.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sqrt.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) 3) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3)) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))))))) |
| 1× | egg-herbie |
| 478× | associate-/r*_binary64 |
| 476× | associate-+l+_binary64 |
| 217× | associate-/r/_binary64 |
| 187× | associate-*l/_binary64 |
| 184× | associate-*r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 196 | 3019 |
| 1 | 621 | 3015 |
| 2 | 2140 | 2920 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (*.f64 (sin.f64 a) b)) |
(-.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (*.f64 (sin.f64 a) b)) |
(-.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))) (*.f64 (sin.f64 a) b))) |
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (*.f64 1/5040 (*.f64 (sin.f64 a) (pow.f64 b 7)))) (+.f64 (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))) (*.f64 (sin.f64 a) b))) |
(*.f64 -1 (*.f64 (sin.f64 b) (sin.f64 a))) |
(*.f64 -1 (*.f64 (sin.f64 b) (sin.f64 a))) |
(*.f64 -1 (*.f64 (sin.f64 b) (sin.f64 a))) |
(*.f64 -1 (*.f64 (sin.f64 b) (sin.f64 a))) |
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 -1 (*.f64 (sin.f64 b) a)) |
(-.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (*.f64 (sin.f64 b) a)) |
(-.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (*.f64 (sin.f64 b) a) (*.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5))))) |
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (*.f64 1/5040 (*.f64 (sin.f64 b) (pow.f64 a 7)))) (+.f64 (*.f64 (sin.f64 b) a) (*.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5))))) |
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
(+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) r)) (cos.f64 b))) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 (pow.f64 a 2) r)) (pow.f64 (cos.f64 b) 3)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2))))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) r)) (cos.f64 b))) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (*.f64 5/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 (pow.f64 a 2) r)) (pow.f64 (cos.f64 b) 3)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 4) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 4))))))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 b r) (cos.f64 a)) |
(+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2))) |
(+.f64 (*.f64 1/3 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))) (+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 r (pow.f64 b 3))) (pow.f64 (cos.f64 a) 3))))) |
(+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 4) r)) (pow.f64 (cos.f64 a) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 3) (*.f64 (pow.f64 b 4) r)) (pow.f64 (cos.f64 a) 4)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 (pow.f64 b 3) r)) (pow.f64 (cos.f64 a) 3)) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 b 3) r) (cos.f64 a)))))))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 r (cos.f64 b)) |
(+.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 r (cos.f64 b))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) r) (cos.f64 b))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 (pow.f64 a 2) r)) (pow.f64 (cos.f64 b) 3)) (+.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 r (cos.f64 b))))) |
(+.f64 (*.f64 5/6 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 4)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) r) (cos.f64 b))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 (pow.f64 a 2) r)) (pow.f64 (cos.f64 b) 3)) (+.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 r (cos.f64 b))))))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (cos.f64 a)) |
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 b r)) (pow.f64 (cos.f64 a) 2)) (/.f64 r (cos.f64 a))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 3)) (+.f64 (/.f64 r (cos.f64 a)) (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r b)) (pow.f64 (cos.f64 a) 2)) (*.f64 1/2 (/.f64 (*.f64 r (pow.f64 b 2)) (cos.f64 a)))))) |
(+.f64 (*.f64 5/6 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 3) r)) (pow.f64 (cos.f64 a) 2))) (+.f64 (/.f64 r (cos.f64 a)) (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r b)) (pow.f64 (cos.f64 a) 2)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 b 2) r) (cos.f64 a))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 3)) (/.f64 (*.f64 (pow.f64 (sin.f64 a) 3) (*.f64 (pow.f64 b 3) r)) (pow.f64 (cos.f64 a) 4))))))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(cos.f64 b) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(-.f64 (cos.f64 b) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (*.f64 (sin.f64 b) a))) |
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (cos.f64 b)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (*.f64 (sin.f64 b) a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(cos.f64 a) |
(-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)) |
(-.f64 (cos.f64 a) (+.f64 (*.f64 (sin.f64 a) b) (*.f64 1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))) |
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (cos.f64 a)) (+.f64 (*.f64 (sin.f64 a) b) (*.f64 1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
| Outputs |
|---|
(*.f64 -1 (*.f64 (sin.f64 a) b)) |
(neg.f64 (*.f64 (sin.f64 a) b)) |
(*.f64 (sin.f64 a) (neg.f64 b)) |
(-.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (*.f64 (sin.f64 a) b)) |
(-.f64 (*.f64 (*.f64 1/6 (pow.f64 b 3)) (sin.f64 a)) (*.f64 (sin.f64 a) b)) |
(*.f64 (sin.f64 a) (-.f64 (*.f64 1/6 (pow.f64 b 3)) b)) |
(-.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))) (*.f64 (sin.f64 a) b))) |
(-.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (fma.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)) (*.f64 (sin.f64 a) b))) |
(-.f64 (*.f64 (*.f64 1/6 (pow.f64 b 3)) (sin.f64 a)) (fma.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)) (*.f64 (sin.f64 a) b))) |
(+.f64 (*.f64 (*.f64 (sin.f64 a) (pow.f64 b 5)) -1/120) (*.f64 (sin.f64 a) (-.f64 (*.f64 1/6 (pow.f64 b 3)) b))) |
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (*.f64 1/5040 (*.f64 (sin.f64 a) (pow.f64 b 7)))) (+.f64 (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))) (*.f64 (sin.f64 a) b))) |
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (*.f64 1/5040 (*.f64 (sin.f64 a) (pow.f64 b 7)))) (fma.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)) (*.f64 (sin.f64 a) b))) |
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (*.f64 (*.f64 1/5040 (pow.f64 b 7)) (sin.f64 a))) (fma.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)) (*.f64 (sin.f64 a) b))) |
(-.f64 (*.f64 (sin.f64 a) (+.f64 (*.f64 1/6 (pow.f64 b 3)) (*.f64 1/5040 (pow.f64 b 7)))) (*.f64 (sin.f64 a) (+.f64 b (*.f64 1/120 (pow.f64 b 5))))) |
(*.f64 -1 (*.f64 (sin.f64 b) (sin.f64 a))) |
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) |
(*.f64 -1 (*.f64 (sin.f64 b) (sin.f64 a))) |
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) |
(*.f64 -1 (*.f64 (sin.f64 b) (sin.f64 a))) |
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) |
(*.f64 -1 (*.f64 (sin.f64 b) (sin.f64 a))) |
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) |
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) |
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) |
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) |
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) |
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) |
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) |
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) |
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) |
(*.f64 -1 (*.f64 (sin.f64 b) a)) |
(neg.f64 (*.f64 a (sin.f64 b))) |
(*.f64 a (neg.f64 (sin.f64 b))) |
(*.f64 (sin.f64 b) (neg.f64 a)) |
(-.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (*.f64 (sin.f64 b) a)) |
(-.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (*.f64 a (sin.f64 b))) |
(*.f64 (sin.f64 b) (-.f64 (*.f64 1/6 (pow.f64 a 3)) a)) |
(-.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (*.f64 (sin.f64 b) a) (*.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5))))) |
(-.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (fma.f64 (sin.f64 b) a (*.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5))))) |
(-.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (fma.f64 a (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 5) 1/120)))) |
(+.f64 (*.f64 (sin.f64 b) (-.f64 (*.f64 1/6 (pow.f64 a 3)) a)) (*.f64 (pow.f64 a 5) (*.f64 (sin.f64 b) -1/120))) |
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (*.f64 1/5040 (*.f64 (sin.f64 b) (pow.f64 a 7)))) (+.f64 (*.f64 (sin.f64 b) a) (*.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5))))) |
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (*.f64 1/5040 (*.f64 (sin.f64 b) (pow.f64 a 7)))) (fma.f64 (sin.f64 b) a (*.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5))))) |
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 7) 1/5040))) (fma.f64 a (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 5) 1/120)))) |
(-.f64 (*.f64 (sin.f64 b) (+.f64 (*.f64 1/6 (pow.f64 a 3)) (*.f64 1/5040 (pow.f64 a 7)))) (*.f64 (sin.f64 b) (+.f64 a (*.f64 1/120 (pow.f64 a 5))))) |
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) |
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) |
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) |
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) |
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) |
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) |
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) |
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) |
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) |
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) |
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) |
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) |
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) |
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) |
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) |
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) r) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) r) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) r) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) r) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) r) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) r) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) r) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) r) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) r) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) r) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) r) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) r) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) |
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2))) |
(+.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 a r))) |
(+.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) a)) r)) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) r)) (cos.f64 b))) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 (pow.f64 a 2) r)) (pow.f64 (cos.f64 b) 3)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2))))) |
(fma.f64 1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (*.f64 r (*.f64 a a)))) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) (*.f64 r (*.f64 a a))))))) |
(+.f64 (+.f64 (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 r (*.f64 a a))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 a r))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (*.f64 r (*.f64 a a)))) |
(+.f64 (*.f64 (/.f64 r (cos.f64 b)) (+.f64 (/.f64 (*.f64 a (pow.f64 (sin.f64 b) 2)) (cos.f64 b)) (/.f64 (*.f64 (*.f64 a a) (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 2)))) (fma.f64 1/2 (*.f64 (*.f64 (/.f64 (*.f64 a a) (cos.f64 b)) r) (sin.f64 b)) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) r)) (cos.f64 b))) (+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (*.f64 5/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 (pow.f64 a 2) r)) (pow.f64 (cos.f64 b) 3)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 4) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 4))))))) |
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(+.f64 (*.f64 5/6 (/.f64 (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 4)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) r) (cos.f64 b))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 (pow.f64 a 2) r)) (pow.f64 (cos.f64 b) 3)) (+.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 r (cos.f64 b))))))) |
(fma.f64 5/6 (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 (pow.f64 a 3) r))) (+.f64 (fma.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (cos.f64 b) r)) (+.f64 (+.f64 (/.f64 r (cos.f64 b)) (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 a r)))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r (*.f64 a a))) (pow.f64 (cos.f64 b) 3)))) (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 4) (*.f64 (pow.f64 a 3) r))))) |
(+.f64 (+.f64 (+.f64 (/.f64 r (cos.f64 b)) (/.f64 (*.f64 a (sin.f64 b)) (/.f64 (pow.f64 (cos.f64 b) 2) r))) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 a a) (cos.f64 b)) r) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3)) (*.f64 r (*.f64 a a))))) (fma.f64 5/6 (*.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) (*.f64 (pow.f64 a 3) r)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 4)) (*.f64 (pow.f64 a 3) r)))) |
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 a (sin.f64 b)) (cos.f64 b)) 1) (/.f64 r (cos.f64 b))) (+.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (cos.f64 b)) r) (+.f64 1/2 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)))) (fma.f64 5/6 (*.f64 (/.f64 (*.f64 (pow.f64 a 3) r) (pow.f64 (cos.f64 b) 2)) (sin.f64 b)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 4)) (*.f64 (pow.f64 a 3) r))))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 r (cos.f64 a)) |
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 b r)) (pow.f64 (cos.f64 a) 2)) (/.f64 r (cos.f64 a))) |
(+.f64 (/.f64 r (cos.f64 a)) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 b r)))) |
(+.f64 (/.f64 r (cos.f64 a)) (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b r))) |
(*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) 1) (/.f64 r (cos.f64 a))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 3)) (+.f64 (/.f64 r (cos.f64 a)) (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r b)) (pow.f64 (cos.f64 a) 2)) (*.f64 1/2 (/.f64 (*.f64 r (pow.f64 b 2)) (cos.f64 a)))))) |
(+.f64 (+.f64 (/.f64 r (cos.f64 a)) (+.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 b r))) (*.f64 1/2 (/.f64 r (/.f64 (cos.f64 a) (*.f64 b b)))))) (/.f64 (pow.f64 (sin.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 3) (*.f64 r (*.f64 b b))))) |
(+.f64 (/.f64 r (cos.f64 a)) (+.f64 (fma.f64 1/2 (*.f64 (/.f64 r (cos.f64 a)) (*.f64 b b)) (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b r))) (/.f64 (*.f64 b (*.f64 b r)) (/.f64 (pow.f64 (cos.f64 a) 3) (pow.f64 (sin.f64 a) 2))))) |
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) 1) (/.f64 r (cos.f64 a))) (*.f64 (*.f64 (/.f64 r (cos.f64 a)) (*.f64 b b)) (+.f64 1/2 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2))))) |
(+.f64 (*.f64 5/6 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 3) r)) (pow.f64 (cos.f64 a) 2))) (+.f64 (/.f64 r (cos.f64 a)) (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r b)) (pow.f64 (cos.f64 a) 2)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 b 2) r) (cos.f64 a))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 3)) (/.f64 (*.f64 (pow.f64 (sin.f64 a) 3) (*.f64 (pow.f64 b 3) r)) (pow.f64 (cos.f64 a) 4))))))) |
(fma.f64 5/6 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 (pow.f64 b 3) r))) (+.f64 (/.f64 r (cos.f64 a)) (+.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 b r))) (fma.f64 1/2 (/.f64 r (/.f64 (cos.f64 a) (*.f64 b b))) (+.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 3) (*.f64 r (*.f64 b b)))) (/.f64 (pow.f64 (sin.f64 a) 3) (/.f64 (pow.f64 (cos.f64 a) 4) (*.f64 (pow.f64 b 3) r)))))))) |
(fma.f64 5/6 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 (pow.f64 b 3) r)) (+.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b r)) (+.f64 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 (cos.f64 a) 4)) (*.f64 (pow.f64 b 3) r)) (fma.f64 1/2 (*.f64 (/.f64 r (cos.f64 a)) (*.f64 b b)) (/.f64 (*.f64 b (*.f64 b r)) (/.f64 (pow.f64 (cos.f64 a) 3) (pow.f64 (sin.f64 a) 2))))) (/.f64 r (cos.f64 a))))) |
(fma.f64 5/6 (*.f64 (/.f64 (*.f64 (pow.f64 b 3) r) (pow.f64 (cos.f64 a) 2)) (sin.f64 a)) (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 (cos.f64 a) 4)) (*.f64 (pow.f64 b 3) r)) (+.f64 (*.f64 (*.f64 (/.f64 r (cos.f64 a)) (*.f64 b b)) (+.f64 1/2 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)))) (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) 1) (/.f64 r (cos.f64 a)))))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(cos.f64 b) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))) |
(-.f64 (cos.f64 b) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (*.f64 (sin.f64 b) a))) |
(-.f64 (cos.f64 b) (fma.f64 1/2 (*.f64 (cos.f64 b) (*.f64 a a)) (*.f64 a (sin.f64 b)))) |
(-.f64 (cos.f64 b) (fma.f64 a (sin.f64 b) (*.f64 (cos.f64 b) (*.f64 1/2 (*.f64 a a))))) |
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (cos.f64 b)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (*.f64 (sin.f64 b) a))) |
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (cos.f64 b)) (fma.f64 1/2 (*.f64 (cos.f64 b) (*.f64 a a)) (*.f64 a (sin.f64 b)))) |
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (cos.f64 b)) (fma.f64 a (sin.f64 b) (*.f64 (cos.f64 b) (*.f64 1/2 (*.f64 a a))))) |
(+.f64 (*.f64 (+.f64 (*.f64 (*.f64 a a) -1/2) 1) (cos.f64 b)) (*.f64 (sin.f64 b) (-.f64 (*.f64 1/6 (pow.f64 a 3)) a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(cos.f64 a) |
(-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)) |
(-.f64 (cos.f64 a) (+.f64 (*.f64 (sin.f64 a) b) (*.f64 1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))) |
(-.f64 (cos.f64 a) (fma.f64 (sin.f64 a) b (*.f64 1/2 (*.f64 (cos.f64 a) (*.f64 b b))))) |
(-.f64 (cos.f64 a) (fma.f64 1/2 (*.f64 (cos.f64 a) (*.f64 b b)) (*.f64 (sin.f64 a) b))) |
(-.f64 (cos.f64 a) (*.f64 b (+.f64 (*.f64 (*.f64 (cos.f64 a) 1/2) b) (sin.f64 a)))) |
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (cos.f64 a)) (+.f64 (*.f64 (sin.f64 a) b) (*.f64 1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))) |
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (cos.f64 a)) (fma.f64 (sin.f64 a) b (*.f64 1/2 (*.f64 (cos.f64 a) (*.f64 b b))))) |
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (cos.f64 a)) (fma.f64 1/2 (*.f64 (cos.f64 a) (*.f64 b b)) (*.f64 (sin.f64 a) b))) |
(+.f64 (cos.f64 a) (-.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 1/6 (pow.f64 b 3)) b)) (*.f64 (cos.f64 a) (*.f64 (*.f64 b b) 1/2)))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 285 | 0 | 285 |
| Fresh | 0 | 12 | 12 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 285 | 13 | 298 |
| Status | Error | Program |
|---|---|---|
| 14.3b | (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) | |
| 0.9b | (*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a)))) (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))))) | |
| 0.3b | (*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))))) | |
| 0.3b | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) | |
| 0.4b | (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (log.f64 (pow.f64 (exp.f64 (sin.f64 b)) (sin.f64 a))))) (sin.f64 b)) | |
| 22.7b | (*.f64 (/.f64 r (-.f64 (exp.f64 (log.f64 (*.f64 (cos.f64 a) (cos.f64 b)))) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b)) | |
| 0.7b | (*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (*.f64 (cos.f64 b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (cbrt.f64 (cos.f64 a)) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (*.f64 (sin.f64 a) (cbrt.f64 (pow.f64 (sin.f64 b) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 b))) (*.f64 (sin.f64 a) (cbrt.f64 (pow.f64 (sin.f64 b) 2))) (*.f64 (cbrt.f64 (sin.f64 b)) (*.f64 (sin.f64 a) (cbrt.f64 (pow.f64 (sin.f64 b) 2)))))))) | |
| 22.7b | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) | |
| 13.5b | (*.f64 (*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) 3) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 3))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) 2) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b))))) (sin.f64 b)) | |
| 0.4b | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 a)) (sin.f64 b))))))) | |
| 39.1b | (cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 3)) | |
| ✓ | 0.3b | (*.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) (sin.f64 b)) |
| 0.6b | (*.f64 (/.f64 r (-.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 a) (cos.f64 b)))) 1) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b)) |
Compiled 9897 to 2819 computations (71.5% saved)
Total 0.3b remaining (79.5%)
Threshold costs 0.3b (79.5%)
Compiled 6607 to 1891 computations (71.4% saved)
| 1× | egg-herbie |
| 6× | *-commutative_binary64 |
| 3× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 26 |
| 1 | 21 | 26 |
| 2 | 29 | 26 |
| 3 | 35 | 26 |
| 4 | 38 | 26 |
| 5 | 39 | 26 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) r) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) r) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) r) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) r) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) r) |
| 1× | fuel |
Compiled 436 to 249 computations (42.9% saved)
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