Time bar (total: 19.0s)
| 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 |
| 12.5% | 87.4% | 0.1% | 5 |
| 18.7% | 81.2% | 0.1% | 6 |
| 21.9% | 78% | 0.1% | 7 |
| 23.4% | 76.5% | 0.1% | 8 |
| 24.2% | 75.7% | 0.1% | 9 |
| 24.6% | 75.3% | 0.1% | 10 |
| 24.8% | 75.1% | 0.1% | 11 |
| 24.9% | 75% | 0.1% | 12 |
Compiled 10 to 7 computations (30% saved)
| 1.8s | 3642× | body | 1024 | valid |
| 1.3s | 1194× | body | 2048 | valid |
| 589.0ms | 1433× | body | 512 | valid |
| 315.0ms | 1986× | body | 256 | valid |
| 1.0ms | 1× | body | 4096 | valid |
| 2× | egg-herbie |
| 76× | fma-def_binary64 |
| 57× | fma-neg_binary64 |
| 27× | cancel-sign-sub-inv_binary64 |
| 24× | sub-neg_binary64 |
| 18× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 22 |
| 1 | 17 | 22 |
| 2 | 25 | 22 |
| 3 | 38 | 22 |
| 4 | 53 | 22 |
| 5 | 81 | 22 |
| 6 | 141 | 22 |
| 7 | 199 | 22 |
| 8 | 284 | 22 |
| 9 | 355 | 22 |
| 10 | 407 | 22 |
| 11 | 411 | 22 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 eps)) |
| Outputs |
|---|
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 eps)) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 eps)) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
| 39× | fma-def_binary64 |
| 32× | fma-neg_binary64 |
| 15× | cancel-sign-sub-inv_binary64 |
| 12× | sub-neg_binary64 |
| 10× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 10 | 11 |
| 2 | 15 | 11 |
| 3 | 22 | 11 |
| 4 | 31 | 11 |
| 5 | 48 | 11 |
| 6 | 86 | 11 |
| 7 | 123 | 11 |
| 8 | 167 | 11 |
| 9 | 203 | 11 |
| 10 | 229 | 11 |
| 11 | 231 | 11 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| Outputs |
|---|
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 9 to 6 computations (33.3% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 37.0b | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 9 to 6 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.8b | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| ✓ | 3.7b | (tan.f64 (+.f64 x eps)) |
Compiled 20 to 6 computations (70% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (tan.f64 (+.f64 x eps)) |
| 1.0ms | x | @ | inf | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 1.0ms | eps | @ | 0 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 1.0ms | eps | @ | 0 | (tan.f64 (+.f64 x eps)) |
| 1.0ms | eps | @ | inf | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 1× | batch-egg-rewrite |
| 883× | prod-diff_binary64 |
| 591× | unpow-prod-down_binary64 |
| 419× | log-prod_binary64 |
| 345× | fma-def_binary64 |
| 252× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 169 | 17 |
| 2 | 2619 | 17 |
| 1× | node limit |
| Inputs |
|---|
(tan.f64 (+.f64 x eps)) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 525× | associate-*r*_binary64 |
| 512× | associate-*l*_binary64 |
| 492× | fma-def_binary64 |
| 437× | distribute-rgt-in_binary64 |
| 426× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 126 | 1922 |
| 1 | 378 | 1835 |
| 2 | 1243 | 1670 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) |
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) |
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) |
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps))) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (sin.f64 x)) (cos.f64 x)) (*.f64 1/6 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))))) (pow.f64 eps 4))) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| Outputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(fma.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) x (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 x (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (fma.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (*.f64 x x))))) |
(+.f64 (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) x (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (/.f64 (*.f64 x x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) |
(+.f64 x (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 x x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(fma.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x (+.f64 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (*.f64 x x)))) (fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1/6 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6)))) (pow.f64 x 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6 1/6)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 x 3))) (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) x (*.f64 (/.f64 (*.f64 x x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) |
(fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) x (fma.f64 (pow.f64 x 3) (fma.f64 -1 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/3) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (fma.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps)) (*.f64 (sin.f64 eps) (*.f64 x x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 eps eps) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) |
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(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
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(fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps))) |
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(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 x x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
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(fma.f64 (pow.f64 x 3) (neg.f64 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (-.f64 1/6 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 0 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1/2)))) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 x x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))) |
(fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 eps eps) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) |
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 eps eps) (cos.f64 x)))) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))) |
(+.f64 (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 eps eps) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))) |
(-.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (pow.f64 eps 3) (+.f64 (-.f64 (+.f64 -1/2 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6)))) |
(fma.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -1/3) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (neg.f64 (pow.f64 eps 3)) (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 eps eps) (cos.f64 x))))) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (sin.f64 x)) (cos.f64 x)) (*.f64 1/6 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))))) (pow.f64 eps 4))) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))) |
(+.f64 (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 eps eps) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (fma.f64 -1 (*.f64 (fma.f64 -1/2 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (+.f64 (/.f64 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) (pow.f64 eps 4)) (neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))) |
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 -1 (fma.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (fma.f64 1/6 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (/.f64 (+.f64 (-.f64 (+.f64 -1/2 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6)) (cos.f64 x)) (sin.f64 x)))) (pow.f64 eps 4) (*.f64 (pow.f64 eps 3) (+.f64 (-.f64 (+.f64 -1/2 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6)))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) |
(-.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 eps eps) (cos.f64 x)))) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -1/3) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (sin.f64 x) (*.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) -1/3)) (pow.f64 eps 4) (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -1/3) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
Compiled 4539 to 1832 computations (59.6% saved)
32 alts after pruning (31 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 160 | 31 | 191 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 160 | 32 | 192 |
| Status | Error | Program |
|---|---|---|
| 37.1b | (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (tan.f64 x)) | |
| ▶ | 37.1b | (log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) |
| 31.5b | (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) | |
| 39.4b | (expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) | |
| 41.3b | (cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3)) | |
| 46.1b | (-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) | |
| 61.1b | (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) | |
| 32.0b | (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 eps eps) (cos.f64 x)))) | |
| ✓ | 37.0b | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 39.4b | (-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) | |
| 53.5b | (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x)) | |
| 37.7b | (-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x)) | |
| 37.1b | (-.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x)) | |
| ▶ | 31.4b | (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
| 52.8b | (pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3) | |
| 20.8b | (+.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))) | |
| 37.0b | (-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) | |
| 32.0b | (fma.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -1/3) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (neg.f64 (pow.f64 eps 3)) (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 eps eps) (cos.f64 x))))) | |
| 20.7b | (-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) | |
| 20.5b | (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x)) | |
| ▶ | 37.8b | (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) |
| 20.5b | (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))) | |
| ▶ | 41.4b | (-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x)) |
| 50.9b | (exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) | |
| 51.1b | (sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) | |
| 37.5b | (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) | |
| 51.4b | (-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x)) | |
| 37.1b | (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x)) | |
| 51.7b | (-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) | |
| 20.7b | (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x))) | |
| ▶ | 20.5b | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) |
| 50.7b | (-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x)) |
Compiled 1105 to 740 computations (33% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) |
| ✓ | 0.1b | (+.f64 (tan.f64 x) (tan.f64 eps)) |
| ✓ | 0.2b | (*.f64 (tan.f64 x) (tan.f64 eps)) |
| ✓ | 2.9b | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) |
Compiled 55 to 16 computations (70.9% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | eps | @ | inf | (*.f64 (tan.f64 x) (tan.f64 eps)) |
| 5.0ms | x | @ | -inf | (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) |
| 4.0ms | x | @ | inf | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) |
| 2.0ms | eps | @ | 0 | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) |
| 2.0ms | eps | @ | inf | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) |
| 1× | batch-egg-rewrite |
| 647× | log-prod_binary64 |
| 504× | fma-def_binary64 |
| 354× | pow2_binary64 |
| 255× | fma-neg_binary64 |
| 241× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 63 |
| 1 | 253 | 63 |
| 2 | 3822 | 63 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) |
(*.f64 (tan.f64 x) (tan.f64 eps)) |
(+.f64 (tan.f64 x) (tan.f64 eps)) |
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) 1)))))) |
| 1× | egg-herbie |
| 830× | fma-def_binary64 |
| 676× | associate-*l*_binary64 |
| 549× | times-frac_binary64 |
| 472× | associate-/l*_binary64 |
| 315× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 204 | 3956 |
| 1 | 652 | 3879 |
| 2 | 2140 | 3735 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))))) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x)) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps)) |
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) |
(+.f64 (*.f64 2/15 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (cos.f64 eps))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))) |
(+.f64 (*.f64 2/15 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (cos.f64 eps))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (+.f64 (*.f64 17/315 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 7)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) |
(/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)) |
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) |
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 2/15 (/.f64 (*.f64 (pow.f64 eps 5) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))) |
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 2/15 (/.f64 (*.f64 (pow.f64 eps 5) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 17/315 (/.f64 (*.f64 (pow.f64 eps 7) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 x (+.f64 (*.f64 2/15 (pow.f64 x 5)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(+.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 2/15 (pow.f64 eps 5))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1/3 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 x 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
| Outputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))) |
(fma.f64 (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(fma.f64 -1 (*.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3)) (fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))))) |
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(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
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(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
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(/.f64 (sin.f64 eps) (cos.f64 eps)) |
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(fma.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(fma.f64 x (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
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(fma.f64 (/.f64 x (/.f64 (cos.f64 eps) x)) (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 2))) (fma.f64 x (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
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(fma.f64 x (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) (fma.f64 (/.f64 x (/.f64 (cos.f64 eps) x)) (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 2))) (fma.f64 (pow.f64 x 3) (+.f64 1/3 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 4/3))) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
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(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))) |
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(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
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(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))) |
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(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (cos.f64 eps) |
| ✓ | 0.1b | (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) |
| ✓ | 0.2b | (/.f64 (sin.f64 eps) (cos.f64 eps)) |
Compiled 23 to 7 computations (69.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | eps | @ | 0 | (/.f64 (sin.f64 eps) (cos.f64 eps)) |
| 0.0ms | eps | @ | 0 | (cos.f64 eps) |
| 0.0ms | eps | @ | 0 | (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) |
| 0.0ms | x | @ | 0 | (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) |
| 0.0ms | eps | @ | -inf | (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) |
| 1× | batch-egg-rewrite |
| 647× | prod-diff_binary64 |
| 454× | log-prod_binary64 |
| 276× | pow-prod-down_binary64 |
| 252× | pow2_binary64 |
| 229× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 14 |
| 1 | 177 | 14 |
| 2 | 2523 | 14 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) |
(cos.f64 eps) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 eps)))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (tan.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 eps)) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (sin.f64 eps)) (/.f64 1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 eps)) (/.f64 1 (neg.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) -2) (/.f64 (sin.f64 eps) (cbrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (sqrt.f64 (sin.f64 eps)) (cbrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 eps) -1/2) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sqrt.f64 (cos.f64 eps))) (/.f64 (cbrt.f64 (sin.f64 eps)) (sqrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 eps) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (tan.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (tan.f64 eps)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (tan.f64 eps))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 eps))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 eps)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 eps)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x tan.f64 eps))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 eps) (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 -1 (tan.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (tan.f64 eps) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)) (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (tan.f64 eps) 1 (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (tan.f64 eps) (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (tan.f64 eps)) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)) (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (sin.f64 eps)) (/.f64 1 (cos.f64 eps))) (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)) (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 1 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(tan.f64 x)) 2) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 (tan.f64 eps) (tan.f64 x))) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (tan.f64 x))) 2) (cbrt.f64 (neg.f64 (tan.f64 x))) (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (tan.f64 x))) (sqrt.f64 (neg.f64 (tan.f64 x))) (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (tan.f64 x) (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 eps)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 eps)) (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)) (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) -2) (/.f64 (sin.f64 eps) (cbrt.f64 (cos.f64 eps))) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) -2) (/.f64 (sin.f64 eps) (cbrt.f64 (cos.f64 eps))) (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (tan.f64 eps)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (tan.f64 eps)) (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (sqrt.f64 (sin.f64 eps)) (cbrt.f64 (cos.f64 eps))) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (sqrt.f64 (sin.f64 eps)) (cbrt.f64 (cos.f64 eps))) (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cos.f64 eps) -1/2) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cos.f64 eps) -1/2) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))) (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sqrt.f64 (cos.f64 eps))) (/.f64 (cbrt.f64 (sin.f64 eps)) (sqrt.f64 (cos.f64 eps))) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sqrt.f64 (cos.f64 eps))) (/.f64 (cbrt.f64 (sin.f64 eps)) (sqrt.f64 (cos.f64 eps))) (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 x))) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)) (tan.f64 eps)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 eps))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 eps))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 eps))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 eps)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 eps) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (cos.f64 eps))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 eps)) 1) 1)))))) |
| 1× | egg-herbie |
| 727× | fma-def_binary64 |
| 663× | fma-neg_binary64 |
| 530× | unswap-sqr_binary64 |
| 455× | *-commutative_binary64 |
| 439× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 524 |
| 1 | 170 | 512 |
| 2 | 394 | 508 |
| 3 | 1157 | 506 |
| 4 | 3530 | 506 |
| 5 | 7241 | 506 |
| 1× | node limit |
| Inputs |
|---|
eps |
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3))) |
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 2/15 (pow.f64 eps 5)))) |
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (*.f64 17/315 (pow.f64 eps 7)) (*.f64 2/15 (pow.f64 eps 5))))) |
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 2/15 (pow.f64 eps 5))))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -2/15 (pow.f64 x 5)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
1 |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6))))) |
| Outputs |
|---|
eps |
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3))) |
(fma.f64 1/3 (pow.f64 eps 3) eps) |
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 2/15 (pow.f64 eps 5)))) |
(+.f64 eps (fma.f64 1/3 (pow.f64 eps 3) (*.f64 2/15 (pow.f64 eps 5)))) |
(+.f64 (fma.f64 1/3 (pow.f64 eps 3) eps) (*.f64 2/15 (pow.f64 eps 5))) |
(fma.f64 1/3 (pow.f64 eps 3) (fma.f64 2/15 (pow.f64 eps 5) eps)) |
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (*.f64 17/315 (pow.f64 eps 7)) (*.f64 2/15 (pow.f64 eps 5))))) |
(+.f64 eps (fma.f64 1/3 (pow.f64 eps 3) (fma.f64 17/315 (pow.f64 eps 7) (*.f64 2/15 (pow.f64 eps 5))))) |
(+.f64 (fma.f64 1/3 (pow.f64 eps 3) eps) (fma.f64 2/15 (pow.f64 eps 5) (*.f64 17/315 (pow.f64 eps 7)))) |
(fma.f64 1/3 (pow.f64 eps 3) (fma.f64 2/15 (pow.f64 eps 5) (fma.f64 17/315 (pow.f64 eps 7) eps))) |
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) |
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) |
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 eps (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 eps (fma.f64 1/3 (pow.f64 eps 3) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(-.f64 (fma.f64 1/3 (pow.f64 eps 3) eps) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 2/15 (pow.f64 eps 5))))) |
(+.f64 eps (fma.f64 1/3 (pow.f64 eps 3) (fma.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 2/15 (pow.f64 eps 5))))) |
(+.f64 (fma.f64 1/3 (pow.f64 eps 3) eps) (fma.f64 2/15 (pow.f64 eps 5) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)))) |
(-.f64 (fma.f64 1/3 (pow.f64 eps 3) (fma.f64 2/15 (pow.f64 eps 5) eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(fma.f64 -1 x (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(fma.f64 -1 x (fma.f64 -1/3 (pow.f64 x 3) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(-.f64 (fma.f64 -1/3 (pow.f64 x 3) (/.f64 (sin.f64 eps) (cos.f64 eps))) x) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -2/15 (pow.f64 x 5)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(fma.f64 -1 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -2/15 (pow.f64 x 5) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(-.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -2/15 (pow.f64 x 5) (/.f64 (sin.f64 eps) (cos.f64 eps)))) x) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
1 |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1) |
(fma.f64 -1/2 (*.f64 eps eps) 1) |
(fma.f64 eps (*.f64 eps -1/2) 1) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) |
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) 1)) |
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) 1)) |
(fma.f64 eps (*.f64 eps -1/2) (fma.f64 1/24 (pow.f64 eps 4) 1)) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6))))) |
(fma.f64 1/24 (pow.f64 eps 4) (+.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (*.f64 -1/720 (pow.f64 eps 6)))) |
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) 1))) |
(fma.f64 eps (*.f64 eps -1/2) (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) 1))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) |
| ✓ | 0.2b | (log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) |
| 1.8b | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) | |
| 3.7b | (tan.f64 (+.f64 x eps)) |
Compiled 37 to 8 computations (78.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | eps | @ | 0 | (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) |
| 2.0ms | x | @ | 0 | (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) |
| 1.0ms | x | @ | 0 | (log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) |
| 1.0ms | eps | @ | 0 | (log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) |
| 1.0ms | eps | @ | -inf | (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) |
| 1× | batch-egg-rewrite |
| 918× | prod-diff_binary64 |
| 457× | log-prod_binary64 |
| 358× | fma-def_binary64 |
| 272× | pow2_binary64 |
| 185× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 24 |
| 1 | 191 | 24 |
| 2 | 2826 | 24 |
| 1× | node limit |
| Inputs |
|---|
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) |
(expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 678× | distribute-rgt-in_binary64 |
| 658× | distribute-lft-in_binary64 |
| 580× | times-frac_binary64 |
| 394× | associate-/l*_binary64 |
| 293× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 181 | 2946 |
| 1 | 573 | 2793 |
| 2 | 2097 | 2524 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps))) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (sin.f64 x)) (cos.f64 x)) (*.f64 1/6 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))))) (pow.f64 eps 4))) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(-.f64 (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (pow.f64 (sin.f64 eps) 2))) (pow.f64 (cos.f64 eps) 2))) 1) |
(-.f64 (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 (sin.f64 eps) 2) x)) (pow.f64 (cos.f64 eps) 2)) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps)) (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))) (pow.f64 x 2))))) 1) |
(-.f64 (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 (sin.f64 eps) 2) x)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 6) (pow.f64 (cos.f64 eps) 6))) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2))))))) (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 3)) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 3))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps)) (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))) (pow.f64 x 2)))))) 1) |
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1) |
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1) |
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1) |
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1) |
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1) |
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1) |
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1) |
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1) |
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)))) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)))) (+.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (+.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (cos.f64 x)) (*.f64 -1 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))) (pow.f64 eps 3)) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) |
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)))) (+.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (+.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (cos.f64 x)) (*.f64 -1 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))) (pow.f64 eps 3)) (+.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 4)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (cos.f64 x))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (sin.f64 x)) (cos.f64 x)) (*.f64 1/6 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))) (pow.f64 eps 4)) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) |
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1) |
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1) |
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1) |
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1) |
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1) |
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1) |
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1) |
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1) |
| Outputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps))) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (/.f64 (*.f64 x x) (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (*.f64 x x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (/.f64 (*.f64 x x) (cos.f64 eps)) (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)))) |
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(+.f64 (/.f64 (*.f64 x x) (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (fma.f64 -1 (*.f64 (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1/2 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))))) (pow.f64 x 3)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))) |
(+.f64 (fma.f64 (neg.f64 (+.f64 (-.f64 (/.f64 1/6 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2 1/2))) (pow.f64 x 3) (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (*.f64 x x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) |
(+.f64 (*.f64 (/.f64 (*.f64 x x) (cos.f64 eps)) (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 2)))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)) (*.f64 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (-.f64 1/6 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2 1/2)) (pow.f64 x 3))))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))) |
(fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) |
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(*.f64 eps (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) eps))) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))) |
(+.f64 (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))) |
(-.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (pow.f64 eps 3) (+.f64 (-.f64 (+.f64 -1/2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1/2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6)))) |
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 eps (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -1/3) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (sin.f64 x)) (cos.f64 x)) (*.f64 1/6 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))))) (pow.f64 eps 4))) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))) |
(+.f64 (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (fma.f64 -1 (*.f64 (fma.f64 -1/2 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (+.f64 (/.f64 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) (pow.f64 eps 4)) (neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))) |
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 -1 (fma.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (fma.f64 1/6 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (+.f64 (-.f64 (+.f64 -1/2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1/2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6)))))) (pow.f64 eps 4) (*.f64 (pow.f64 eps 3) (+.f64 (-.f64 (+.f64 -1/2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1/2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6)))) (*.f64 (*.f64 eps eps) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) |
(-.f64 (*.f64 eps (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) eps))) (fma.f64 (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -1/3) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) -1/3)) (pow.f64 eps 4) (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -1/3) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(-.f64 (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (pow.f64 (sin.f64 eps) 2))) (pow.f64 (cos.f64 eps) 2))) 1) |
(+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (sin.f64 eps) 2) x))) 1)) |
(+.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)) x)) (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(-.f64 (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 (sin.f64 eps) 2) x)) (pow.f64 (cos.f64 eps) 2)) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps)) (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))) (pow.f64 x 2))))) 1) |
(+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (sin.f64 eps) 2) x))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (*.f64 x x) (+.f64 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))))) 1)) |
(+.f64 (fma.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (*.f64 x (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (*.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps)) (sin.f64 eps))))) (/.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)) x))) (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 -1 (+.f64 (*.f64 (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (/.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps))))) 1) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) |
(-.f64 (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 (sin.f64 eps) 2) x)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 6) (pow.f64 (cos.f64 eps) 6))) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2))))))) (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 3)) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 3))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps)) (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))) (pow.f64 x 2)))))) 1) |
(+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (sin.f64 eps) 2) x))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 (pow.f64 x 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 6) (pow.f64 (cos.f64 eps) 6)) (fma.f64 -1 (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1/2 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))))) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (sin.f64 eps) 3)))))) (*.f64 (*.f64 x x) (+.f64 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))))))) 1)) |
(+.f64 (fma.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 (pow.f64 x 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 6) (pow.f64 (cos.f64 eps) 6)) (-.f64 (*.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 (cos.f64 eps) 3)) (pow.f64 (sin.f64 eps) 3)) (+.f64 (-.f64 (/.f64 1/6 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2 1/2)))) (*.f64 x (*.f64 x (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (*.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps)) (sin.f64 eps)))))) (/.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)) x))) (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 -1 (+.f64 (*.f64 (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (/.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps))) (*.f64 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 6) (pow.f64 (cos.f64 eps) 6)) (-.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 3)) (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (-.f64 1/6 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2 1/2)))) x))) 1) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) |
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1) |
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1) |
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1) |
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1) |
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1) |
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1) |
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1) |
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1) |
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)) |
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)))) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(fma.f64 (*.f64 eps eps) (+.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 1/2 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) |
(*.f64 eps (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 eps (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 1/2 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) |
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)))) (+.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (+.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (cos.f64 x)) (*.f64 -1 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))) (pow.f64 eps 3)) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) |
(fma.f64 (*.f64 eps eps) (+.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 1/2 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (fma.f64 (fma.f64 1/6 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3) (+.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (cos.f64 x)) (neg.f64 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))) (pow.f64 eps 3) (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) |
(fma.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (pow.f64 eps 3) (-.f64 (fma.f64 1/6 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))) (+.f64 (-.f64 (+.f64 -1/2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1/2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6))) (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))) |
(fma.f64 (*.f64 eps eps) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 1/2 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (fma.f64 (pow.f64 eps 3) (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (+.f64 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6) (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -1/3) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))) |
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)))) (+.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (+.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (cos.f64 x)) (*.f64 -1 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))) (pow.f64 eps 3)) (+.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 4)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (cos.f64 x))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (sin.f64 x)) (cos.f64 x)) (*.f64 1/6 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))) (pow.f64 eps 4)) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) |
(fma.f64 (*.f64 eps eps) (+.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 1/2 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (fma.f64 (fma.f64 1/6 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3) (+.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (cos.f64 x)) (neg.f64 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))) (pow.f64 eps 3) (fma.f64 (fma.f64 1/24 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 4) (fma.f64 1/2 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3))) (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (*.f64 -1 (+.f64 (fma.f64 -1/2 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (+.f64 (/.f64 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))))) (pow.f64 eps 4) (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) |
(fma.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (pow.f64 eps 3) (-.f64 (fma.f64 1/6 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))) (+.f64 (-.f64 (+.f64 -1/2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1/2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6))) (fma.f64 (pow.f64 eps 4) (fma.f64 1/24 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)) (-.f64 (-.f64 (*.f64 1/2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))) (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (fma.f64 1/6 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (+.f64 (-.f64 (+.f64 -1/2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1/2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6))))))) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (-.f64 (+.f64 -1/2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1/2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6)))))) (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))))) |
(fma.f64 (*.f64 eps eps) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 1/2 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (fma.f64 (pow.f64 eps 3) (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (+.f64 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6) (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -1/3) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (fma.f64 (pow.f64 eps 4) (fma.f64 1/24 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) (-.f64 (*.f64 1/2 (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))) (+.f64 (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -1/3) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) -1/3)) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -1/3) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))))) |
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1) |
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1) |
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1) |
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1) |
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1) |
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1) |
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1) |
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1) |
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (pow.f64 (tan.f64 (+.f64 x eps)) 3) |
| ✓ | 1.8b | (-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x)) |
| 3.7b | (tan.f64 (+.f64 x eps)) | |
| ✓ | 8.0b | (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) |
Compiled 37 to 15 computations (59.5% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | eps | @ | inf | (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) |
| 4.0ms | x | @ | 0 | (pow.f64 (tan.f64 (+.f64 x eps)) 3) |
| 3.0ms | eps | @ | 0 | (pow.f64 (tan.f64 (+.f64 x eps)) 3) |
| 1.0ms | eps | @ | -inf | (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) |
| 1.0ms | eps | @ | -inf | (pow.f64 (tan.f64 (+.f64 x eps)) 3) |
| 1× | batch-egg-rewrite |
| 941× | prod-diff_binary64 |
| 485× | log-prod_binary64 |
| 385× | fma-def_binary64 |
| 216× | fma-neg_binary64 |
| 199× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 1 | 236 | 26 |
| 2 | 3080 | 26 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) |
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x)) |
(pow.f64 (tan.f64 (+.f64 x eps)) 3) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 960× | distribute-rgt-in_binary64 |
| 948× | distribute-lft-in_binary64 |
| 611× | times-frac_binary64 |
| 143× | fma-def_binary64 |
| 142× | cancel-sign-sub-inv_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 221 | 4280 |
| 1 | 700 | 3922 |
| 2 | 2650 | 3644 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))) |
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(+.f64 (*.f64 eps (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2)) (*.f64 2 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) |
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (sin.f64 x)) (cos.f64 x)) (+.f64 (*.f64 2 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (cos.f64 x))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 3)))) (pow.f64 eps 2)) (+.f64 (*.f64 eps (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2)) (*.f64 2 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) |
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (sin.f64 x)) (cos.f64 x)) (+.f64 (*.f64 2 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (cos.f64 x))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 3)))) (pow.f64 eps 2)) (+.f64 (*.f64 eps (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2)) (*.f64 2 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 2 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (cos.f64 x))) (*.f64 -2 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (sin.f64 x)) (cos.f64 x))))) (cos.f64 x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) |
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) |
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) |
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) |
(/.f64 (pow.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 3) (pow.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 3)) |
(/.f64 (pow.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 3) (pow.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 3)) |
(/.f64 (pow.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 3) (pow.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 3)) |
(/.f64 (pow.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 3) (pow.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 3)) |
| Outputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(fma.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) x (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (fma.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (*.f64 x x))))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) x (*.f64 (/.f64 (*.f64 x x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) |
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(fma.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x (+.f64 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (*.f64 x x)))) (fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1/6 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6)))) (pow.f64 x 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6 1/6)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 x 3))) (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) x (*.f64 (/.f64 (*.f64 x x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) |
(+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/3) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 x 3))) (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) x (*.f64 (/.f64 (*.f64 x x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) |
(+.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))) (neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (pow.f64 eps 3) (+.f64 (-.f64 (+.f64 -1/2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1/2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6))))) |
(+.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -1/3) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)) |
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(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
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(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
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(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
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(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) |
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) |
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(+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (*.f64 x (+.f64 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (/.f64 (+.f64 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (/.f64 (cos.f64 eps) (sin.f64 eps)))))) |
(fma.f64 x (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (/.f64 (*.f64 2 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps)) (sin.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) |
(fma.f64 x (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (/.f64 (*.f64 2 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) (*.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (cos.f64 eps)) (sin.f64 eps))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) |
(+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps))) (sin.f64 eps)) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2))) x) (*.f64 (+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2))) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (sin.f64 eps)) (cos.f64 eps)) (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 3)) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2)))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (fma.f64 (+.f64 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (/.f64 (+.f64 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (/.f64 (cos.f64 eps) (sin.f64 eps)))) x (*.f64 (*.f64 x x) (fma.f64 (+.f64 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 (/.f64 (fma.f64 2 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (sin.f64 eps) 3)))))))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (fma.f64 x (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (/.f64 (*.f64 2 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps)) (sin.f64 eps))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 (cos.f64 eps) 3)) (pow.f64 (sin.f64 eps) 3)) (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 2 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 (/.f64 (fma.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2)) (cos.f64 eps)) (sin.f64 eps))))))) |
(+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) (*.f64 x (+.f64 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (/.f64 (*.f64 2 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) (*.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (cos.f64 eps)) (sin.f64 eps))) (*.f64 (+.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 3)) (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 2 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) (*.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (fma.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2)))))) x)))) |
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(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) |
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) |
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) |
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) |
(/.f64 (pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 3) (pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 3)) |
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) |
(/.f64 (pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 3) (pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 3)) |
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) |
(/.f64 (pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 3) (pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 3)) |
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) |
(/.f64 (pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 3) (pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 3)) |
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) |
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) |
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) |
(+.f64 (*.f64 eps (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2)) (*.f64 2 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) |
(fma.f64 eps (*.f64 3 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) |
(fma.f64 eps (*.f64 3 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) |
(fma.f64 eps (*.f64 3 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) |
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (sin.f64 x)) (cos.f64 x)) (+.f64 (*.f64 2 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (cos.f64 x))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 3)))) (pow.f64 eps 2)) (+.f64 (*.f64 eps (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2)) (*.f64 2 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) |
(fma.f64 (+.f64 (/.f64 (fma.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (/.f64 (cos.f64 x) (sin.f64 x))) (fma.f64 2 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (/.f64 (pow.f64 (cos.f64 x) 3) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (*.f64 eps eps) (fma.f64 eps (*.f64 3 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) |
(fma.f64 (*.f64 eps eps) (+.f64 (/.f64 (fma.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) (/.f64 (cos.f64 x) (sin.f64 x))) (fma.f64 2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (fma.f64 eps (*.f64 3 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) |
(fma.f64 (*.f64 eps eps) (+.f64 (/.f64 (fma.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) (/.f64 (cos.f64 x) (sin.f64 x))) (fma.f64 2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (fma.f64 eps (*.f64 3 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3))) |
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (sin.f64 x)) (cos.f64 x)) (+.f64 (*.f64 2 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (cos.f64 x))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 3)))) (pow.f64 eps 2)) (+.f64 (*.f64 eps (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2)) (*.f64 2 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 2 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (cos.f64 x))) (*.f64 -2 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (sin.f64 x)) (cos.f64 x))))) (cos.f64 x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) |
(fma.f64 (+.f64 (/.f64 (fma.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (/.f64 (cos.f64 x) (sin.f64 x))) (fma.f64 2 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (/.f64 (pow.f64 (cos.f64 x) 3) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (*.f64 eps eps) (fma.f64 eps (*.f64 3 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (fma.f64 (pow.f64 eps 3) (fma.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (+.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (fma.f64 2 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (cos.f64 x)) (*.f64 (/.f64 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (/.f64 (cos.f64 x) (sin.f64 x))) -2)))) (fma.f64 -1 (/.f64 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (fma.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)))))) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) |
(fma.f64 (*.f64 eps eps) (+.f64 (/.f64 (fma.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) (/.f64 (cos.f64 x) (sin.f64 x))) (fma.f64 2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (fma.f64 eps (*.f64 3 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (pow.f64 eps 3) (+.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))) (*.f64 (/.f64 (+.f64 (-.f64 (+.f64 -1/2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1/2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6)) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))) (fma.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) (/.f64 (*.f64 (*.f64 -2 (sin.f64 x)) (+.f64 (-.f64 (+.f64 -1/2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1/2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6))) (cos.f64 x)))))) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) |
(fma.f64 (*.f64 eps eps) (+.f64 (/.f64 (fma.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) (/.f64 (cos.f64 x) (sin.f64 x))) (fma.f64 2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (fma.f64 eps (*.f64 3 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (pow.f64 eps 3) (+.f64 (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) (/.f64 (+.f64 (neg.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -1/3)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (fma.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) (/.f64 (*.f64 (*.f64 -2 (sin.f64 x)) (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -1/3) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))))) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)))) |
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) |
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) |
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) |
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) |
(/.f64 (pow.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 3) (pow.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 3)) |
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) |
(/.f64 (pow.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 3) (pow.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 3)) |
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) |
(/.f64 (pow.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 3) (pow.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 3)) |
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) |
(/.f64 (pow.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 3) (pow.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 3)) |
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
| ✓ | 0.2b | (pow.f64 (sin.f64 x) 2) |
| ✓ | 0.2b | (pow.f64 (cos.f64 x) 2) |
| ✓ | 3.1b | (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
Compiled 50 to 27 computations (46% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | eps | @ | 0 | (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
| 2.0ms | x | @ | -inf | (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
| 1.0ms | x | @ | inf | (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
| 1.0ms | x | @ | 0 | (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
| 1.0ms | eps | @ | inf | (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
| 1× | batch-egg-rewrite |
| 976× | pow1_binary64 |
| 899× | add-log-exp_binary64 |
| 899× | log1p-expm1-u_binary64 |
| 899× | expm1-log1p-u_binary64 |
| 102× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 43 |
| 1 | 210 | 37 |
| 2 | 2517 | 37 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(pow.f64 (cos.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 eps (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2))) (neg.f64 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (cos.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) 1) (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) eps) (neg.f64 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (neg.f64 (pow.f64 (sin.f64 x) 2))) (neg.f64 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 eps) (/.f64 (sin.f64 x) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 (cos.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (cos.f64 x) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cos.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (sin.f64 x) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 2) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cos.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 x) -2) (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (cos.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))))) |
| 1× | egg-herbie |
| 417× | fma-neg_binary64 |
| 358× | times-frac_binary64 |
| 350× | fma-def_binary64 |
| 349× | distribute-rgt-in_binary64 |
| 318× | distribute-lft-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 651 |
| 1 | 204 | 621 |
| 2 | 588 | 586 |
| 3 | 2537 | 578 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(*.f64 eps (pow.f64 x 2)) |
(+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4))) |
(+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4)))) |
(+.f64 (*.f64 (-.f64 (*.f64 -1/315 eps) (+.f64 (*.f64 -2/45 eps) (+.f64 (*.f64 -1 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))) (*.f64 1/3 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))) (pow.f64 x 8)) (+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4))))) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
1 |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4))))) |
(pow.f64 x 2) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(pow.f64 x 2) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
| Outputs |
|---|
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (*.f64 x x)) |
(+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4))) |
(fma.f64 eps (*.f64 x x) (*.f64 (*.f64 eps 2/3) (pow.f64 x 4))) |
(fma.f64 (*.f64 eps 2/3) (pow.f64 x 4) (*.f64 eps (*.f64 x x))) |
(*.f64 eps (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x))) |
(+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4)))) |
(fma.f64 (-.f64 (*.f64 eps 2/45) (fma.f64 1/3 eps (neg.f64 (*.f64 eps 2/3)))) (pow.f64 x 6) (fma.f64 eps (*.f64 x x) (*.f64 (*.f64 eps 2/3) (pow.f64 x 4)))) |
(fma.f64 (-.f64 (*.f64 eps -13/45) (*.f64 eps -2/3)) (pow.f64 x 6) (fma.f64 (*.f64 eps 2/3) (pow.f64 x 4) (*.f64 eps (*.f64 x x)))) |
(fma.f64 (*.f64 eps 17/45) (pow.f64 x 6) (*.f64 eps (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)))) |
(+.f64 (*.f64 (-.f64 (*.f64 -1/315 eps) (+.f64 (*.f64 -2/45 eps) (+.f64 (*.f64 -1 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))) (*.f64 1/3 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))) (pow.f64 x 8)) (+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4))))) |
(fma.f64 (-.f64 (*.f64 eps -1/315) (fma.f64 -2/45 eps (fma.f64 -1 (-.f64 (*.f64 eps 2/45) (fma.f64 1/3 eps (neg.f64 (*.f64 eps 2/3)))) (*.f64 (*.f64 eps 2/3) 1/3)))) (pow.f64 x 8) (fma.f64 (-.f64 (*.f64 eps 2/45) (fma.f64 1/3 eps (neg.f64 (*.f64 eps 2/3)))) (pow.f64 x 6) (fma.f64 eps (*.f64 x x) (*.f64 (*.f64 eps 2/3) (pow.f64 x 4))))) |
(fma.f64 (-.f64 (*.f64 eps 13/315) (-.f64 (*.f64 eps 2/9) (-.f64 (*.f64 eps -13/45) (*.f64 eps -2/3)))) (pow.f64 x 8) (fma.f64 (-.f64 (*.f64 eps -13/45) (*.f64 eps -2/3)) (pow.f64 x 6) (fma.f64 (*.f64 eps 2/3) (pow.f64 x 4) (*.f64 eps (*.f64 x x))))) |
(fma.f64 (*.f64 eps 17/45) (pow.f64 x 6) (fma.f64 (+.f64 (*.f64 eps -19/105) (*.f64 eps 17/45)) (pow.f64 x 8) (*.f64 eps (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x))))) |
(fma.f64 (*.f64 eps 17/45) (pow.f64 x 6) (fma.f64 (*.f64 eps 62/315) (pow.f64 x 8) (*.f64 eps (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x))))) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
1 |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/3))) |
(+.f64 (-.f64 1 (*.f64 x x)) (*.f64 (pow.f64 x 4) 1/3)) |
(-.f64 (fma.f64 (pow.f64 x 4) 1/3 1) (*.f64 x x)) |
(-.f64 1 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1 (*.f64 x x) (fma.f64 -2/45 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/3)))) |
(+.f64 (-.f64 1 (*.f64 x x)) (fma.f64 (pow.f64 x 4) 1/3 (*.f64 (pow.f64 x 6) -2/45))) |
(+.f64 1 (fma.f64 (pow.f64 x 4) 1/3 (fma.f64 (pow.f64 x 6) -2/45 (neg.f64 (*.f64 x x))))) |
(-.f64 (fma.f64 (pow.f64 x 4) 1/3 (*.f64 (pow.f64 x 6) -2/45)) (fma.f64 x x -1)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2)) |
(fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))) |
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x))) |
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 x x (*.f64 2/45 (pow.f64 x 6)))) |
(fma.f64 x x (fma.f64 2/45 (pow.f64 x 6) (*.f64 -1/3 (pow.f64 x 4)))) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x)))) |
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 x x (*.f64 2/45 (pow.f64 x 6))))) |
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 x x (fma.f64 -1/315 (pow.f64 x 8) (*.f64 2/45 (pow.f64 x 6))))) |
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 2/45 (pow.f64 x 6) (fma.f64 -1/315 (pow.f64 x 8) (*.f64 x x)))) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2)) |
(fma.f64 2/3 (pow.f64 x 4) (*.f64 x x)) |
(fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x))) |
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 x x (*.f64 (pow.f64 x 6) 17/45))) |
(fma.f64 x x (fma.f64 (pow.f64 x 4) 2/3 (*.f64 (pow.f64 x 6) 17/45))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 62/315 (pow.f64 x 8) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)))) |
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (pow.f64 x 8) 62/315 (fma.f64 x x (*.f64 (pow.f64 x 6) 17/45)))) |
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (pow.f64 x 6) 17/45 (fma.f64 (pow.f64 x 8) 62/315 (*.f64 x x)))) |
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 x x (fma.f64 (pow.f64 x 6) 17/45 (*.f64 (pow.f64 x 8) 62/315)))) |
Compiled 33674 to 14595 computations (56.7% saved)
50 alts after pruning (49 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1263 | 46 | 1309 |
| Fresh | 23 | 3 | 26 |
| Picked | 1 | 0 | 1 |
| Done | 4 | 1 | 5 |
| Total | 1291 | 50 | 1341 |
| Status | Error | Program |
|---|---|---|
| 53.2b | (-.f64 eps (tan.f64 x)) | |
| ▶ | 51.2b | (sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2)) |
| 20.6b | (fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1) 2))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) (neg.f64 (tan.f64 x))) | |
| 20.7b | (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x))) | |
| 31.4b | (+.f64 eps (*.f64 eps (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -2))))) | |
| 52.0b | (-.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 6))) (tan.f64 x)) | |
| 30.1b | (log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)))) (exp.f64 (tan.f64 x)))) | |
| 31.5b | (+.f64 eps (*.f64 eps (expm1.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) | |
| 29.7b | (log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)))) | |
| 51.1b | (sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) | |
| 37.7b | (-.f64 (tan.f64 eps) (tan.f64 x)) | |
| 31.4b | (+.f64 eps (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 eps (pow.f64 (sin.f64 x) 2))))) | |
| 51.0b | (-.f64 (/.f64 (sin.f64 eps) (fma.f64 eps (*.f64 eps -1/2) 1)) (tan.f64 x)) | |
| 59.5b | (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) | |
| 23.4b | (-.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 2)) 1) (/.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) (tan.f64 x)) | |
| 31.4b | (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) | |
| 20.5b | (+.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (neg.f64 (tan.f64 x))) | |
| 31.4b | (+.f64 eps (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) | |
| 20.8b | (log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) | |
| 20.6b | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x)) | |
| 28.3b | (expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)))) | |
| 50.4b | (-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x)) | |
| 41.8b | (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1))) | |
| 20.5b | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x)) | |
| ✓ | 20.5b | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) |
| ▶ | 45.2b | (+.f64 eps (*.f64 eps (*.f64 x x))) |
| ▶ | 24.9b | (cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) 3)) |
| 31.5b | (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))))) | |
| 20.7b | (-.f64 (pow.f64 (/.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1) (+.f64 (tan.f64 x) (tan.f64 eps))) -1) (tan.f64 x)) | |
| 42.9b | (+.f64 eps (log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))) | |
| 26.3b | (/.f64 (sin.f64 eps) (cos.f64 eps)) | |
| 24.3b | (fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) (neg.f64 (tan.f64 x))) | |
| 25.0b | (-.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3)) (tan.f64 x)) | |
| 50.7b | (-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x)) | |
| 21.3b | (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))) 3) | |
| 32.0b | (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (*.f64 (-.f64 1/3 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -4/3) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) eps)))) | |
| ▶ | 20.5b | (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x)) |
| 45.8b | (pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) 3) 1/3) | |
| 26.3b | (log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) | |
| 45.2b | (-.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (pow.f64 (cos.f64 eps) 2))) (tan.f64 x)) | |
| 44.8b | (log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)) | |
| 21.5b | (-.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) 3) (tan.f64 x)) | |
| 31.9b | (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 eps (*.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3))))) | |
| 20.7b | (-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) | |
| 40.6b | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (exp.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x)) | |
| 20.5b | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (tan.f64 x)) | |
| 31.4b | (+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)))) | |
| 20.5b | (fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (neg.f64 (tan.f64 x))) | |
| 50.9b | (-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x)) | |
| ▶ | 20.5b | (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))) |
Compiled 1828 to 1170 computations (36% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) |
| 0.1b | (+.f64 (tan.f64 x) (tan.f64 eps)) | |
| 0.2b | (*.f64 (tan.f64 x) (tan.f64 eps)) | |
| ✓ | 2.9b | (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))) |
Compiled 56 to 19 computations (66.1% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | eps | @ | 0 | (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))) |
| 2.0ms | eps | @ | inf | (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))) |
| 1.0ms | eps | @ | -inf | (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))) |
| 1.0ms | x | @ | inf | (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))) |
| 1.0ms | x | @ | -inf | (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))) |
| 1× | batch-egg-rewrite |
| 572× | log-prod_binary64 |
| 332× | fma-def_binary64 |
| 319× | pow2_binary64 |
| 218× | pow1/3_binary64 |
| 218× | expm1-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 43 |
| 1 | 265 | 40 |
| 2 | 3715 | 36 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))) |
(/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) 1) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 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1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1))) (exp.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1))) (+.f64 1 (expm1.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (tan.f64 x)) (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (tan.f64 x))) (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1))) (+.f64 1 (expm1.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))) (cbrt.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) -2)) (/.f64 1 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) -1/2) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) -2) (/.f64 1 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (fma.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (fma.f64 (tan.f64 x) (tan.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1)))))) |
| 1× | egg-herbie |
| 649× | fma-neg_binary64 |
| 554× | fma-def_binary64 |
| 541× | associate-*r*_binary64 |
| 520× | associate-*l*_binary64 |
| 300× | times-frac_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 124 | 2440 |
| 1 | 387 | 2426 |
| 2 | 1299 | 2344 |
| 3 | 7544 | 2344 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (sin.f64 eps)) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 eps 2)) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 eps 2)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 3) (+.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))) (sin.f64 x)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) |
(+.f64 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 1/3 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))) (sin.f64 x)) (cos.f64 x)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x)) (cos.f64 x)))))) (+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 eps 2)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 3) (+.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))) (sin.f64 x)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
1 |
(+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 2)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 3)))))) |
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) |
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) |
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) |
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) |
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
1 |
(+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) |
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))) |
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
| Outputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 x x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))) |
(fma.f64 x (*.f64 x (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3))) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (sin.f64 eps)) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(fma.f64 (fma.f64 -1 (/.f64 (fma.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))) |
(fma.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1/3) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (cos.f64 eps)) (sin.f64 eps))) (pow.f64 x 3) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 x x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)))) |
(fma.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (*.f64 (/.f64 -1/3 (cos.f64 eps)) (sin.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)))) (pow.f64 x 3) (fma.f64 x (*.f64 x (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3))) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
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1 |
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(+.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)) |
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x 1) |
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(/.f64 1 (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) |
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(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) |
(/.f64 1 (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) |
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) |
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) |
(/.f64 1 (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) |
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) |
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) |
(/.f64 1 (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) |
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) |
(/.f64 1 (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) |
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) |
(/.f64 1 (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) |
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) |
(/.f64 1 (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) |
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) |
(/.f64 1 (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) |
1 |
(+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) |
(+.f64 1 (/.f64 eps (/.f64 (cos.f64 x) (sin.f64 x)))) |
(+.f64 1 (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x))) |
(fma.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x) 1) |
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))) |
(+.f64 (+.f64 1 (/.f64 eps (/.f64 (cos.f64 x) (sin.f64 x)))) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) |
(+.f64 (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x)) (+.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 eps eps)) (pow.f64 (cos.f64 x) 2)))) |
(fma.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x) (fma.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2) 1)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))) |
(fma.f64 -1 (*.f64 (pow.f64 eps 3) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x))))) (+.f64 (+.f64 1 (/.f64 eps (/.f64 (cos.f64 x) (sin.f64 x)))) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))) |
(+.f64 (+.f64 1 (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x))) (fma.f64 (neg.f64 (pow.f64 eps 3)) (fma.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 eps eps)) (pow.f64 (cos.f64 x) 2)))) |
(fma.f64 (pow.f64 eps 3) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/3 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (fma.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x) (fma.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2) 1))) |
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) |
(/.f64 1 (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) |
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) |
(/.f64 1 (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) |
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) |
(/.f64 1 (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) |
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) |
(/.f64 1 (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) |
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) |
(/.f64 1 (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) |
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) |
(/.f64 1 (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) |
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) |
(/.f64 1 (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) |
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) |
(/.f64 1 (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 eps (*.f64 eps (*.f64 x x))) |
| ✓ | 6.7b | (*.f64 eps (*.f64 x x)) |
Compiled 19 to 5 computations (73.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | 0 | (*.f64 eps (*.f64 x x)) |
| 1.0ms | x | @ | 0 | (*.f64 eps (*.f64 x x)) |
| 1.0ms | x | @ | inf | (*.f64 eps (*.f64 x x)) |
| 1.0ms | eps | @ | inf | (*.f64 eps (*.f64 x x)) |
| 0.0ms | eps | @ | inf | (+.f64 eps (*.f64 eps (*.f64 x x))) |
| 1× | batch-egg-rewrite |
| 718× | pow1_binary64 |
| 669× | add-log-exp_binary64 |
| 669× | log1p-expm1-u_binary64 |
| 669× | expm1-log1p-u_binary64 |
| 652× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 1 | 131 | 15 |
| 2 | 1874 | 15 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 eps (*.f64 x x)) |
(+.f64 eps (*.f64 eps (*.f64 x x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 eps (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (*.f64 x x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 eps (*.f64 x x) eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 eps (*.f64 x x)))) (/.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)) (-.f64 eps (*.f64 eps (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (+.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (+.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 eps (*.f64 x x) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 eps (*.f64 x x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 eps (*.f64 x x) eps)) (pow.f64 (cbrt.f64 (fma.f64 eps (*.f64 x x) eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (*.f64 x x) eps)) 2) (cbrt.f64 (fma.f64 eps (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 eps (*.f64 x x) eps)) (sqrt.f64 (fma.f64 eps (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (*.f64 x x)) 3)) (/.f64 1 (fma.f64 eps eps (*.f64 (*.f64 eps (*.f64 x x)) (-.f64 (*.f64 eps (*.f64 x x)) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (/.f64 1 (-.f64 eps (*.f64 eps (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x x) 1) eps)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (*.f64 x x)) (-.f64 (*.f64 eps (*.f64 x x)) eps))) (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (*.f64 x x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 eps (*.f64 eps (*.f64 x x))) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (*.f64 x x)) 3)) (fma.f64 eps eps (*.f64 (*.f64 eps (*.f64 x x)) (-.f64 (*.f64 eps (*.f64 x x)) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (*.f64 x x)) 3)) (+.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)) (-.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (-.f64 eps (*.f64 eps (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (*.f64 x x)) 3))) (neg.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (*.f64 x x)) (-.f64 (*.f64 eps (*.f64 x x)) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4)))) (neg.f64 (-.f64 eps (*.f64 eps (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)) (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 x x)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 eps (*.f64 x x) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 eps (*.f64 x x) eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 eps (*.f64 x x) eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 eps (*.f64 x x) eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 eps (*.f64 x x) eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 eps (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 eps (*.f64 x x) eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 eps (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 eps (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 eps (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps (*.f64 x x) eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) eps eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 eps (*.f64 eps (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 eps (*.f64 x x)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (cbrt.f64 (*.f64 eps (*.f64 x x))) eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (*.f64 eps (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 eps)) (*.f64 x (sqrt.f64 eps)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 eps (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps x) x eps))))) |
| 1× | egg-herbie |
| 1093× | fma-neg_binary64 |
| 854× | fma-def_binary64 |
| 496× | distribute-rgt-neg-in_binary64 |
| 460× | unswap-sqr_binary64 |
| 425× | distribute-lft-neg-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 393 |
| 1 | 41 | 351 |
| 2 | 89 | 351 |
| 3 | 253 | 351 |
| 4 | 655 | 351 |
| 5 | 1293 | 351 |
| 6 | 1855 | 351 |
| 7 | 2745 | 351 |
| 8 | 4381 | 351 |
| 9 | 6225 | 351 |
| 10 | 7669 | 351 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (+.f64 1 (pow.f64 x 2))) |
(*.f64 eps (+.f64 1 (pow.f64 x 2))) |
(*.f64 eps (+.f64 1 (pow.f64 x 2))) |
(*.f64 eps (+.f64 1 (pow.f64 x 2))) |
(*.f64 eps (+.f64 1 (pow.f64 x 2))) |
(*.f64 eps (+.f64 1 (pow.f64 x 2))) |
(*.f64 eps (+.f64 1 (pow.f64 x 2))) |
(*.f64 eps (+.f64 1 (pow.f64 x 2))) |
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (pow.f64 x 2)) 1))) |
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (pow.f64 x 2)) 1))) |
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (pow.f64 x 2)) 1))) |
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (pow.f64 x 2)) 1))) |
eps |
(+.f64 (*.f64 eps (pow.f64 x 2)) eps) |
(+.f64 (*.f64 eps (pow.f64 x 2)) eps) |
(+.f64 (*.f64 eps (pow.f64 x 2)) eps) |
(*.f64 eps (pow.f64 x 2)) |
(+.f64 eps (*.f64 eps (pow.f64 x 2))) |
(+.f64 eps (*.f64 eps (pow.f64 x 2))) |
(+.f64 eps (*.f64 eps (pow.f64 x 2))) |
(*.f64 eps (pow.f64 x 2)) |
(+.f64 eps (*.f64 eps (pow.f64 x 2))) |
(+.f64 eps (*.f64 eps (pow.f64 x 2))) |
(+.f64 eps (*.f64 eps (pow.f64 x 2))) |
| Outputs |
|---|
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (*.f64 x x)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (*.f64 x x)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (*.f64 x x)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (*.f64 x x)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (*.f64 x x)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (*.f64 x x)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (*.f64 x x)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (*.f64 x x)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (*.f64 x x)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (*.f64 x x)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (*.f64 x x)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (*.f64 x x)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (*.f64 x x)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (*.f64 x x)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (*.f64 x x)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (*.f64 x x)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (*.f64 x x)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (*.f64 x x)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (*.f64 x x)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (*.f64 x x)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (*.f64 x x)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (*.f64 x x)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (*.f64 x x)) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (*.f64 x x)) |
(*.f64 eps (+.f64 1 (pow.f64 x 2))) |
(*.f64 eps (+.f64 (*.f64 x x) 1)) |
(*.f64 eps (fma.f64 x x 1)) |
(fma.f64 eps (*.f64 x x) eps) |
(fma.f64 x (*.f64 eps x) eps) |
(*.f64 eps (+.f64 1 (pow.f64 x 2))) |
(*.f64 eps (+.f64 (*.f64 x x) 1)) |
(*.f64 eps (fma.f64 x x 1)) |
(fma.f64 eps (*.f64 x x) eps) |
(fma.f64 x (*.f64 eps x) eps) |
(*.f64 eps (+.f64 1 (pow.f64 x 2))) |
(*.f64 eps (+.f64 (*.f64 x x) 1)) |
(*.f64 eps (fma.f64 x x 1)) |
(fma.f64 eps (*.f64 x x) eps) |
(fma.f64 x (*.f64 eps x) eps) |
(*.f64 eps (+.f64 1 (pow.f64 x 2))) |
(*.f64 eps (+.f64 (*.f64 x x) 1)) |
(*.f64 eps (fma.f64 x x 1)) |
(fma.f64 eps (*.f64 x x) eps) |
(fma.f64 x (*.f64 eps x) eps) |
(*.f64 eps (+.f64 1 (pow.f64 x 2))) |
(*.f64 eps (+.f64 (*.f64 x x) 1)) |
(*.f64 eps (fma.f64 x x 1)) |
(fma.f64 eps (*.f64 x x) eps) |
(fma.f64 x (*.f64 eps x) eps) |
(*.f64 eps (+.f64 1 (pow.f64 x 2))) |
(*.f64 eps (+.f64 (*.f64 x x) 1)) |
(*.f64 eps (fma.f64 x x 1)) |
(fma.f64 eps (*.f64 x x) eps) |
(fma.f64 x (*.f64 eps x) eps) |
(*.f64 eps (+.f64 1 (pow.f64 x 2))) |
(*.f64 eps (+.f64 (*.f64 x x) 1)) |
(*.f64 eps (fma.f64 x x 1)) |
(fma.f64 eps (*.f64 x x) eps) |
(fma.f64 x (*.f64 eps x) eps) |
(*.f64 eps (+.f64 1 (pow.f64 x 2))) |
(*.f64 eps (+.f64 (*.f64 x x) 1)) |
(*.f64 eps (fma.f64 x x 1)) |
(fma.f64 eps (*.f64 x x) eps) |
(fma.f64 x (*.f64 eps x) eps) |
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (pow.f64 x 2)) 1))) |
(*.f64 eps (+.f64 (*.f64 x x) 1)) |
(*.f64 eps (fma.f64 x x 1)) |
(fma.f64 eps (*.f64 x x) eps) |
(fma.f64 x (*.f64 eps x) eps) |
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (pow.f64 x 2)) 1))) |
(*.f64 eps (+.f64 (*.f64 x x) 1)) |
(*.f64 eps (fma.f64 x x 1)) |
(fma.f64 eps (*.f64 x x) eps) |
(fma.f64 x (*.f64 eps x) eps) |
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (pow.f64 x 2)) 1))) |
(*.f64 eps (+.f64 (*.f64 x x) 1)) |
(*.f64 eps (fma.f64 x x 1)) |
(fma.f64 eps (*.f64 x x) eps) |
(fma.f64 x (*.f64 eps x) eps) |
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (pow.f64 x 2)) 1))) |
(*.f64 eps (+.f64 (*.f64 x x) 1)) |
(*.f64 eps (fma.f64 x x 1)) |
(fma.f64 eps (*.f64 x x) eps) |
(fma.f64 x (*.f64 eps x) eps) |
eps |
(+.f64 (*.f64 eps (pow.f64 x 2)) eps) |
(*.f64 eps (+.f64 (*.f64 x x) 1)) |
(*.f64 eps (fma.f64 x x 1)) |
(fma.f64 eps (*.f64 x x) eps) |
(fma.f64 x (*.f64 eps x) eps) |
(+.f64 (*.f64 eps (pow.f64 x 2)) eps) |
(*.f64 eps (+.f64 (*.f64 x x) 1)) |
(*.f64 eps (fma.f64 x x 1)) |
(fma.f64 eps (*.f64 x x) eps) |
(fma.f64 x (*.f64 eps x) eps) |
(+.f64 (*.f64 eps (pow.f64 x 2)) eps) |
(*.f64 eps (+.f64 (*.f64 x x) 1)) |
(*.f64 eps (fma.f64 x x 1)) |
(fma.f64 eps (*.f64 x x) eps) |
(fma.f64 x (*.f64 eps x) eps) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (*.f64 x x)) |
(+.f64 eps (*.f64 eps (pow.f64 x 2))) |
(*.f64 eps (+.f64 (*.f64 x x) 1)) |
(*.f64 eps (fma.f64 x x 1)) |
(fma.f64 eps (*.f64 x x) eps) |
(fma.f64 x (*.f64 eps x) eps) |
(+.f64 eps (*.f64 eps (pow.f64 x 2))) |
(*.f64 eps (+.f64 (*.f64 x x) 1)) |
(*.f64 eps (fma.f64 x x 1)) |
(fma.f64 eps (*.f64 x x) eps) |
(fma.f64 x (*.f64 eps x) eps) |
(+.f64 eps (*.f64 eps (pow.f64 x 2))) |
(*.f64 eps (+.f64 (*.f64 x x) 1)) |
(*.f64 eps (fma.f64 x x 1)) |
(fma.f64 eps (*.f64 x x) eps) |
(fma.f64 x (*.f64 eps x) eps) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 eps (*.f64 x x)) |
(+.f64 eps (*.f64 eps (pow.f64 x 2))) |
(*.f64 eps (+.f64 (*.f64 x x) 1)) |
(*.f64 eps (fma.f64 x x 1)) |
(fma.f64 eps (*.f64 x x) eps) |
(fma.f64 x (*.f64 eps x) eps) |
(+.f64 eps (*.f64 eps (pow.f64 x 2))) |
(*.f64 eps (+.f64 (*.f64 x x) 1)) |
(*.f64 eps (fma.f64 x x 1)) |
(fma.f64 eps (*.f64 x x) eps) |
(fma.f64 x (*.f64 eps x) eps) |
(+.f64 eps (*.f64 eps (pow.f64 x 2))) |
(*.f64 eps (+.f64 (*.f64 x x) 1)) |
(*.f64 eps (fma.f64 x x 1)) |
(fma.f64 eps (*.f64 x x) eps) |
(fma.f64 x (*.f64 eps x) eps) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (-.f64 (tan.f64 eps) (tan.f64 x)) |
| ✓ | 0.4b | (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2) |
| ✓ | 4.1b | (sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2)) |
Compiled 29 to 11 computations (62.1% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | inf | (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2) |
| 1.0ms | x | @ | inf | (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2) |
| 1.0ms | x | @ | -inf | (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2) |
| 1.0ms | eps | @ | -inf | (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2) |
| 1.0ms | eps | @ | 0 | (sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2)) |
| 1× | batch-egg-rewrite |
| 911× | pow1_binary64 |
| 846× | add-log-exp_binary64 |
| 845× | log1p-expm1-u_binary64 |
| 845× | expm1-log1p-u_binary64 |
| 827× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 1 | 198 | 27 |
| 2 | 2288 | 27 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2)) |
(pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2) |
(-.f64 (tan.f64 eps) (tan.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 eps) (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (tan.f64 eps) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 (tan.f64 eps) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (tan.f64 eps) 3) (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))) (/.f64 (pow.f64 (tan.f64 x) 3) (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (tan.f64 eps) 2) (+.f64 (tan.f64 eps) (tan.f64 x))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 (tan.f64 eps) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (tan.f64 eps) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) 2) (cbrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) (sqrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 (tan.f64 eps) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (-.f64 (tan.f64 eps) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (tan.f64 eps) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2))) (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (neg.f64 (tan.f64 x)) 3)) (+.f64 (pow.f64 (tan.f64 eps) 2) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))) (*.f64 (tan.f64 eps) (neg.f64 (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) (-.f64 (tan.f64 eps) (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 (tan.f64 eps) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (tan.f64 eps) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)) (neg.f64 (tan.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))) (*.f64 (neg.f64 (tan.f64 x)) (-.f64 (tan.f64 eps) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (tan.f64 eps)) (*.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 (tan.f64 eps) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 4)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) 2) (cbrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) (-.f64 (tan.f64 eps) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) (*.f64 (sqrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) (-.f64 (tan.f64 eps) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (sqrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x)))) (sqrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) 2)) (cbrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)) (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2))) (*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (+.f64 (tan.f64 eps) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)) (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3))) (*.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)) (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3))) (*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)) (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2))) (*.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)))) (+.f64 (tan.f64 eps) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)) (-.f64 (tan.f64 eps) (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)) (-.f64 (tan.f64 eps) (tan.f64 x))) (+.f64 (tan.f64 eps) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3))) (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2))) (+.f64 (tan.f64 eps) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))))))) |
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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (tan.f64 eps) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)) (neg.f64 (tan.f64 x))))))) |
| 1× | egg-herbie |
| 858× | times-frac_binary64 |
| 784× | fma-def_binary64 |
| 678× | associate-/l*_binary64 |
| 462× | associate-/r*_binary64 |
| 291× | *-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 1438 |
| 1 | 204 | 1418 |
| 2 | 516 | 1410 |
| 3 | 1802 | 1393 |
| 4 | 7502 | 1393 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 2/15 (pow.f64 eps 5))))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -2/15 (pow.f64 x 5)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 (pow.f64 eps 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 (*.f64 -2/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 -2 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 (pow.f64 eps 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) 2) |
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) 2) |
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) 2) |
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) 2) |
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) 2) |
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) 2) |
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) 2) |
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) 2) |
(/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (pow.f64 x 2) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (*.f64 -2/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (+.f64 (pow.f64 x 2) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) |
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) 2) |
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) 2) |
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) 2) |
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) 2) |
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) 2) |
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) 2) |
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) 2) |
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) 2) |
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 2/15 (pow.f64 eps 5))))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -2/15 (pow.f64 x 5)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) |
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) |
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))) eps) |
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 eps (fma.f64 1/3 (pow.f64 eps 3) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(-.f64 (fma.f64 1/3 (pow.f64 eps 3) eps) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 2/15 (pow.f64 eps 5))))) |
(+.f64 eps (fma.f64 1/3 (pow.f64 eps 3) (fma.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 2/15 (pow.f64 eps 5))))) |
(+.f64 eps (fma.f64 1/3 (pow.f64 eps 3) (-.f64 (*.f64 2/15 (pow.f64 eps 5)) (/.f64 (sin.f64 x) (cos.f64 x))))) |
(fma.f64 1/3 (pow.f64 eps 3) (-.f64 (fma.f64 2/15 (pow.f64 eps 5) eps) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (fma.f64 2/15 (pow.f64 eps 5) (fma.f64 1/3 (pow.f64 eps 3) eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(fma.f64 -1 x (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(fma.f64 -1 x (fma.f64 -1/3 (pow.f64 x 3) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(-.f64 (fma.f64 -1/3 (pow.f64 x 3) (/.f64 (sin.f64 eps) (cos.f64 eps))) x) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -2/15 (pow.f64 x 5)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(fma.f64 -1 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -2/15 (pow.f64 x 5) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(-.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -2/15 (pow.f64 x 5) (/.f64 (sin.f64 eps) (cos.f64 eps)))) x) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 -2 (/.f64 eps (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 -2 (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 -2 (*.f64 (sin.f64 x) (/.f64 eps (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(*.f64 (sin.f64 x) (+.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (*.f64 -2 (/.f64 eps (cos.f64 x))))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 (pow.f64 eps 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(fma.f64 -2 (/.f64 eps (/.f64 (cos.f64 x) (sin.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 eps eps))) |
(fma.f64 -2 (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x)) (fma.f64 eps eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(fma.f64 eps eps (fma.f64 -2 (*.f64 (sin.f64 x) (/.f64 eps (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(fma.f64 eps eps (*.f64 (sin.f64 x) (+.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (*.f64 -2 (/.f64 eps (cos.f64 x)))))) |
(+.f64 (*.f64 -2/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 -2 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 (pow.f64 eps 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(fma.f64 -2/3 (/.f64 (pow.f64 eps 3) (/.f64 (cos.f64 x) (sin.f64 x))) (fma.f64 -2 (/.f64 eps (/.f64 (cos.f64 x) (sin.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 eps eps)))) |
(fma.f64 -2/3 (*.f64 (/.f64 (pow.f64 eps 3) (cos.f64 x)) (sin.f64 x)) (fma.f64 -2 (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x)) (fma.f64 eps eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(fma.f64 -2 (*.f64 (sin.f64 x) (/.f64 eps (cos.f64 x))) (fma.f64 -2/3 (/.f64 (pow.f64 eps 3) (/.f64 (cos.f64 x) (sin.f64 x))) (fma.f64 eps eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(fma.f64 -2 (*.f64 (sin.f64 x) (/.f64 eps (cos.f64 x))) (fma.f64 eps eps (*.f64 (sin.f64 x) (+.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (*.f64 -2/3 (/.f64 (pow.f64 eps 3) (cos.f64 x))))))) |
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) 2) |
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) 2) |
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) 2) |
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) 2) |
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) 2) |
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) 2) |
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) 2) |
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) 2) |
(/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) |
(fma.f64 -2 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) x)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) |
(fma.f64 -2 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) |
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x -2))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (pow.f64 x 2) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) |
(fma.f64 -2 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) x)) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 x x))) |
(fma.f64 -2 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x) (fma.f64 x x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) |
(fma.f64 x x (fma.f64 -2 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) x)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) |
(fma.f64 x x (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x -2)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (*.f64 -2/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (+.f64 (pow.f64 x 2) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) |
(fma.f64 -2 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) x)) (fma.f64 -2/3 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 x x)))) |
(fma.f64 -2 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x) (fma.f64 -2/3 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 x 3)) (fma.f64 x x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) |
(fma.f64 -2 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) x)) (fma.f64 x x (fma.f64 -2/3 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 x 3)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (fma.f64 x x (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 x -2) (*.f64 (pow.f64 x 3) -2/3))))) |
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) 2) |
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) 2) |
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) 2) |
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) 2) |
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) 2) |
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) 2) |
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) 2) |
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) 2) |
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) |
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) |
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))) eps) |
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 eps (fma.f64 1/3 (pow.f64 eps 3) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(-.f64 (fma.f64 1/3 (pow.f64 eps 3) eps) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 2/15 (pow.f64 eps 5))))) |
(+.f64 eps (fma.f64 1/3 (pow.f64 eps 3) (fma.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 2/15 (pow.f64 eps 5))))) |
(+.f64 eps (fma.f64 1/3 (pow.f64 eps 3) (-.f64 (*.f64 2/15 (pow.f64 eps 5)) (/.f64 (sin.f64 x) (cos.f64 x))))) |
(fma.f64 1/3 (pow.f64 eps 3) (-.f64 (fma.f64 2/15 (pow.f64 eps 5) eps) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (fma.f64 2/15 (pow.f64 eps 5) (fma.f64 1/3 (pow.f64 eps 3) eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(fma.f64 -1 x (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(fma.f64 -1 x (fma.f64 -1/3 (pow.f64 x 3) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(-.f64 (fma.f64 -1/3 (pow.f64 x 3) (/.f64 (sin.f64 eps) (cos.f64 eps))) x) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -2/15 (pow.f64 x 5)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(fma.f64 -1 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -2/15 (pow.f64 x 5) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(-.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -2/15 (pow.f64 x 5) (/.f64 (sin.f64 eps) (cos.f64 eps)))) x) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) |
| 0.1b | (+.f64 (tan.f64 x) (tan.f64 eps)) | |
| 0.2b | (*.f64 (tan.f64 x) (tan.f64 eps)) | |
| ✓ | 2.9b | (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x)) |
Compiled 68 to 24 computations (64.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x)) |
| 1.0ms | eps | @ | 0 | (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x)) |
| 1.0ms | x | @ | inf | (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x)) |
| 0.0ms | eps | @ | -inf | (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x)) |
| 0.0ms | x | @ | -inf | (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x)) |
| 1× | batch-egg-rewrite |
| 688× | log-prod_binary64 |
| 538× | fma-def_binary64 |
| 279× | fma-neg_binary64 |
| 252× | pow1/3_binary64 |
| 251× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 47 |
| 1 | 277 | 47 |
| 2 | 4062 | 47 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x)) |
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 eps) (*.f64 (/.f64 1 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))))))) |
| 1× | egg-herbie |
| 578× | fma-def_binary64 |
| 572× | associate-*r*_binary64 |
| 558× | associate-*l*_binary64 |
| 436× | times-frac_binary64 |
| 356× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 146 | 2962 |
| 1 | 482 | 2887 |
| 2 | 1679 | 2743 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))))) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x)) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1/3 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 x 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
| Outputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))) |
(fma.f64 (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))) |
(fma.f64 (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(fma.f64 -1 (*.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3)) (fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))) |
(-.f64 (fma.f64 (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))) (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -4/3) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (pow.f64 x 3))) |
(fma.f64 (pow.f64 x 3) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 4/3)) (fma.f64 (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
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(/.f64 (sin.f64 eps) (cos.f64 eps)) |
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(/.f64 (sin.f64 x) (cos.f64 x)) |
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(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))) |
(+.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 eps (/.f64 (cos.f64 x) eps)) (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (fma.f64 (pow.f64 eps 3) (-.f64 1/3 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))))) |
(+.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (sin.f64 x) (cos.f64 x))) (fma.f64 (pow.f64 eps 3) (-.f64 1/3 (-.f64 (/.f64 (*.f64 -1/3 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 (/.f64 eps (/.f64 (cos.f64 x) eps)) (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 eps 3) (+.f64 (-.f64 1/3 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -4/3)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (+.f64 (tan.f64 x) (tan.f64 eps)) | |
| ✓ | 0.4b | (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) 3) |
| ✓ | 2.9b | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) |
| ✓ | 5.4b | (cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) 3)) |
Compiled 91 to 30 computations (67% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | eps | @ | 0 | (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) 3) |
| 4.0ms | eps | @ | -inf | (cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) 3)) |
| 3.0ms | x | @ | 0 | (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) 3) |
| 2.0ms | x | @ | inf | (cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) 3)) |
| 2.0ms | eps | @ | inf | (cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) 3)) |
| 1× | batch-egg-rewrite |
| 616× | log-prod_binary64 |
| 388× | fma-def_binary64 |
| 346× | pow2_binary64 |
| 235× | pow1/3_binary64 |
| 235× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 81 |
| 1 | 311 | 75 |
| 2 | 4160 | 75 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) 3)) |
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) |
(pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (tan.f64 x) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (tan.f64 x) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (+.f64 (tan.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (tan.f64 x) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (tan.f64 x) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (tan.f64 x) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (tan.f64 x) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (tan.f64 x) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (tan.f64 x) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 3) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (pow.f64 (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 2))) (/.f64 (pow.f64 (tan.f64 x) 3) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (pow.f64 (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 2) (+.f64 (tan.f64 x) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 (tan.f64 x) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 0) (tan.f64 x))))) (#(struct:change 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eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (tan.f64 x) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (pow.f64 (+.f64 (tan.f64 x) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) 2) (*.f64 (tan.f64 x) (pow.f64 (+.f64 (tan.f64 x) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 (tan.f64 x) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) 2) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (*.f64 (pow.f64 (+.f64 (tan.f64 x) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) 2) (tan.f64 x))))))) |
| 1× | egg-herbie |
| 587× | associate-*l/_binary64 |
| 560× | associate-/l*_binary64 |
| 535× | associate-/r*_binary64 |
| 521× | associate-*r/_binary64 |
| 203× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 214 | 7149 |
| 1 | 776 | 6807 |
| 2 | 3163 | 6391 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))))) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x)) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))) |
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
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(pow.f64 (-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 3) |
(*.f64 (pow.f64 eps 3) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) |
(+.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)))))) |
(+.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (+.f64 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))))) (*.f64 (pow.f64 eps 5) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (pow.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 2)) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (*.f64 2 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))) |
(+.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (+.f64 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))))) (+.f64 (*.f64 (pow.f64 eps 6) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))))) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (+.f64 (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -2 (*.f64 (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (*.f64 2 (*.f64 (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (pow.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 2)))) (*.f64 -2 (*.f64 (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))) (*.f64 (pow.f64 eps 5) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (pow.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 2)) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (*.f64 2 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))) |
(pow.f64 (-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 3) |
(pow.f64 (-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 3) |
(pow.f64 (-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 3) |
(pow.f64 (-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 3) |
(pow.f64 (-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 3) |
(pow.f64 (-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 3) |
(pow.f64 (-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 3) |
(pow.f64 (-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 3) |
| Outputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) x) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3)) (fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))) (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -4/3) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (pow.f64 x 3))) |
(+.f64 (*.f64 x (+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) x) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -4/3) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
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(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) |
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) |
(+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (*.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))) x) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) |
(fma.f64 (*.f64 3 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) x (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) |
(fma.f64 x (*.f64 3 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) |
(fma.f64 x (*.f64 3 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) |
(+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (*.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))) x) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (*.f64 -2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps)) (*.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 5) (pow.f64 (cos.f64 eps) 5))))) (pow.f64 x 2)))) |
(+.f64 (fma.f64 (*.f64 3 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) x (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 (*.f64 x x) (fma.f64 -1 (/.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (*.f64 -2 (/.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (/.f64 (cos.f64 eps) (sin.f64 eps))))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 5) (pow.f64 (cos.f64 eps) 5))))))) |
(fma.f64 x (*.f64 3 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (fma.f64 (*.f64 x x) (-.f64 (fma.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 5) (pow.f64 (cos.f64 eps) 5)) (*.f64 (/.f64 (fma.f64 -2 (/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (cos.f64 eps)) (sin.f64 eps))) (*.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2))) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) |
(fma.f64 x (*.f64 3 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (fma.f64 (*.f64 x x) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)) (fma.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 5) (pow.f64 (cos.f64 eps) 5)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 -2 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)))) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 eps) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))))) (cos.f64 eps))) (*.f64 -2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 (sin.f64 eps) 3)) (pow.f64 (cos.f64 eps) 3))) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (*.f64 -2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps))))) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (*.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))) x) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (*.f64 -2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps)) (*.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 5) (pow.f64 (cos.f64 eps) 5))))) (pow.f64 x 2))))) |
(fma.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (+.f64 (/.f64 (*.f64 -2 (+.f64 (/.f64 (*.f64 (sin.f64 eps) (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))))) (cos.f64 eps)) (/.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (fma.f64 -2 (/.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (/.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (sin.f64 eps) 3))) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (*.f64 -2 (/.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (/.f64 (cos.f64 eps) (sin.f64 eps)))))))))) (pow.f64 x 3) (+.f64 (fma.f64 (*.f64 3 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) x (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 (*.f64 x x) (fma.f64 -1 (/.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (*.f64 -2 (/.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (/.f64 (cos.f64 eps) (sin.f64 eps))))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 5) (pow.f64 (cos.f64 eps) 5)))))))) |
(fma.f64 (pow.f64 x 3) (-.f64 (+.f64 (/.f64 -2 (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (+.f64 (*.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -4/3) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))))) (fma.f64 -2 (*.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (pow.f64 (cos.f64 eps) 3)) (pow.f64 (sin.f64 eps) 3)) (/.f64 (fma.f64 -2 (/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))) (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -4/3) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2))) (fma.f64 x (*.f64 3 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (fma.f64 (*.f64 x x) (-.f64 (fma.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 5) (pow.f64 (cos.f64 eps) 5)) (*.f64 (/.f64 (fma.f64 -2 (/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (cos.f64 eps)) (sin.f64 eps))) (*.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2))) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))))) |
(fma.f64 (pow.f64 x 3) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 -2 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -4/3) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))) (/.f64 2 (/.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3))))))) (-.f64 (+.f64 (/.f64 2 (/.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 3) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (fma.f64 -2 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)))) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -4/3) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))))) (fma.f64 x (*.f64 3 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (fma.f64 (*.f64 x x) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)) (fma.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 5) (pow.f64 (cos.f64 eps) 5)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 -2 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)))) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)))) |
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(fma.f64 (pow.f64 eps 3) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3) (fma.f64 (pow.f64 eps 4) (*.f64 (*.f64 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) -3) (*.f64 (pow.f64 eps 5) (fma.f64 (fma.f64 2 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 1/3 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (/.f64 (*.f64 -1/3 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))))) (pow.f64 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) 2)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (fma.f64 (-.f64 1/3 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (/.f64 (*.f64 -1/3 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2) (*.f64 2 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) 2)))))))) |
(fma.f64 (pow.f64 eps 3) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) (fma.f64 (pow.f64 eps 4) (*.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) -3)) (*.f64 (pow.f64 eps 5) (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (*.f64 2 (+.f64 1/3 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 (/.f64 (*.f64 -1/3 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (fma.f64 (+.f64 1/3 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 (/.f64 (*.f64 -1/3 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (*.f64 2 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x))) 2)))))))) |
(fma.f64 (pow.f64 eps 3) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) (fma.f64 (pow.f64 eps 5) (+.f64 (*.f64 (-.f64 1/3 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -4/3) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 2 (pow.f64 (-.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (fma.f64 2 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 1/3 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -4/3) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))) (pow.f64 (-.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (/.f64 (sin.f64 x) (cos.f64 x))) 2))))) (*.f64 (pow.f64 eps 4) (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) 3))))) |
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(fma.f64 (pow.f64 eps 3) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) (fma.f64 (pow.f64 eps 4) (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) 3)) (fma.f64 (pow.f64 eps 6) (-.f64 (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 -2 (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 (fma.f64 -1/3 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (-.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) -1/3))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/3))) (*.f64 (-.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1/3 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -4/3) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))))) (*.f64 (-.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (*.f64 (*.f64 (-.f64 1/3 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -4/3) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) -2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (fma.f64 2 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 1/3 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -4/3) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))) (pow.f64 (-.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (/.f64 (sin.f64 x) (cos.f64 x))) 2))))) (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (-.f64 (fma.f64 -1/3 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (-.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) -1/3))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/3))))) (*.f64 (pow.f64 eps 5) (+.f64 (*.f64 (-.f64 1/3 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -4/3) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 2 (pow.f64 (-.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (fma.f64 2 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 1/3 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -4/3) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))) (pow.f64 (-.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (/.f64 (sin.f64 x) (cos.f64 x))) 2))))))))) |
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(pow.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)) (/.f64 (sin.f64 x) (cos.f64 x)))) 3) |
(pow.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) 3) |
(pow.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) 3) |
(pow.f64 (-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 3) |
(pow.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)) (/.f64 (sin.f64 x) (cos.f64 x)))) 3) |
(pow.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) 3) |
(pow.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) 3) |
(pow.f64 (-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 3) |
(pow.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)) (/.f64 (sin.f64 x) (cos.f64 x)))) 3) |
(pow.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) 3) |
(pow.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) 3) |
(pow.f64 (-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 3) |
(pow.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)) (/.f64 (sin.f64 x) (cos.f64 x)))) 3) |
(pow.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) 3) |
(pow.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) 3) |
(pow.f64 (-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 3) |
(pow.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)) (/.f64 (sin.f64 x) (cos.f64 x)))) 3) |
(pow.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) 3) |
(pow.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) 3) |
(pow.f64 (-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 3) |
(pow.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)) (/.f64 (sin.f64 x) (cos.f64 x)))) 3) |
(pow.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) 3) |
(pow.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) 3) |
(pow.f64 (-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 3) |
(pow.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)) (/.f64 (sin.f64 x) (cos.f64 x)))) 3) |
(pow.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) 3) |
(pow.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) 3) |
(pow.f64 (-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 3) |
(pow.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)) (/.f64 (sin.f64 x) (cos.f64 x)))) 3) |
(pow.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) 3) |
(pow.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) 3) |
Compiled 27651 to 11280 computations (59.2% saved)
56 alts after pruning (52 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 910 | 25 | 935 |
| Fresh | 17 | 27 | 44 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 3 | 5 |
| Total | 929 | 56 | 985 |
| Status | Error | Program |
|---|---|---|
| ▶ | 53.2b | (-.f64 eps (tan.f64 x)) |
| 21.3b | (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))) 3) | |
| ▶ | 20.5b | (fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (neg.f64 (tan.f64 x))) |
| 20.6b | (fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1) 2))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) (neg.f64 (tan.f64 x))) | |
| 20.7b | (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x))) | |
| 53.6b | (*.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (/.f64 1 (-.f64 eps (*.f64 eps (*.f64 x x))))) | |
| 45.8b | (pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x)) 3) 1/3) | |
| 31.4b | (+.f64 eps (*.f64 eps (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -2))))) | |
| 52.0b | (-.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 6))) (tan.f64 x)) | |
| 29.7b | (log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x)))) | |
| 50.9b | (-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x)) | |
| 32.0b | (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (*.f64 (-.f64 1/3 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -4/3) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) eps)))) | |
| ▶ | 49.4b | (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) |
| 31.5b | (+.f64 eps (*.f64 eps (expm1.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) | |
| 60.5b | (sqrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) | |
| 31.4b | (+.f64 eps (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 eps (pow.f64 (sin.f64 x) 2))))) | |
| 51.1b | (sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) | |
| 51.0b | (-.f64 (/.f64 (sin.f64 eps) (fma.f64 eps (*.f64 eps -1/2) 1)) (tan.f64 x)) | |
| 26.3b | (/.f64 (sin.f64 eps) (cos.f64 eps)) | |
| 50.4b | (fabs.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) | |
| 31.4b | (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) | |
| 20.8b | (fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))) | |
| 37.7b | (-.f64 (tan.f64 eps) (tan.f64 x)) | |
| 50.4b | (-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x)) | |
| 31.4b | (+.f64 eps (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) | |
| 20.8b | (log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) | |
| 32.0b | (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)))) | |
| 28.3b | (expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x)))) | |
| 42.3b | eps | |
| 20.7b | (-.f64 (/.f64 1 (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) | |
| 41.8b | (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1))) | |
| 20.5b | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x)) | |
| ✓ | 20.5b | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) |
| 59.5b | (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) | |
| ✓ | 24.9b | (cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) 3)) |
| 53.7b | (/.f64 1 (/.f64 (-.f64 eps (*.f64 eps (*.f64 x x))) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))))) | |
| 35.6b | (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) | |
| 21.5b | (-.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1))) 3) (tan.f64 x)) | |
| 25.0b | (-.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3)) (tan.f64 x)) | |
| 31.5b | (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))))) | |
| 42.9b | (+.f64 eps (log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))) | |
| 50.7b | (-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x)) | |
| 20.5b | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x)) | |
| 20.6b | (-.f64 (*.f64 (fma.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)) (tan.f64 x)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x)) | |
| ✓ | 20.5b | (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x)) |
| 53.6b | (/.f64 (-.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)) (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 x x)) eps)) | |
| 38.7b | (cbrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) | |
| 26.3b | (log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) | |
| 45.2b | (-.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (pow.f64 (cos.f64 eps) 2))) (tan.f64 x)) | |
| 44.8b | (log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)) | |
| 20.7b | (-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) | |
| ▶ | 40.6b | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (exp.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x)) |
| 20.5b | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (tan.f64 x)) | |
| ▶ | 31.4b | (+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)))) |
| ✓ | 20.5b | (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))) |
| 23.0b | (-.f64 (/.f64 (*.f64 (/.f64 1 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (-.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)) |
Compiled 1924 to 1249 computations (35.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (+.f64 (tan.f64 x) (tan.f64 eps)) | |
| 0.2b | (*.f64 (tan.f64 x) (tan.f64 eps)) | |
| ✓ | 0.2b | (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) |
| ✓ | 2.9b | (fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (neg.f64 (tan.f64 x))) |
Compiled 85 to 30 computations (64.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | eps | @ | inf | (fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (neg.f64 (tan.f64 x))) |
| 2.0ms | eps | @ | -inf | (fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (neg.f64 (tan.f64 x))) |
| 2.0ms | x | @ | inf | (fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (neg.f64 (tan.f64 x))) |
| 2.0ms | x | @ | -inf | (fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (neg.f64 (tan.f64 x))) |
| 2.0ms | eps | @ | 0 | (fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (neg.f64 (tan.f64 x))) |
| 1× | batch-egg-rewrite |
| 710× | log-prod_binary64 |
| 482× | fma-def_binary64 |
| 263× | expm1-udef_binary64 |
| 263× | log1p-udef_binary64 |
| 240× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 51 |
| 1 | 331 | 49 |
| 2 | 4539 | 49 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (neg.f64 (tan.f64 x))) |
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) |
| Outputs |
|---|
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(*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (tan.f64 x) (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4))) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x)) (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 eps)) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)) (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (/.f64 1 (exp.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (hypot.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 6)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4)) (/.f64 -1 (+.f64 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) -1))))) |
| 1× | egg-herbie |
| 753× | associate-*r*_binary64 |
| 750× | associate-*l*_binary64 |
| 590× | times-frac_binary64 |
| 578× | fma-def_binary64 |
| 507× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 152 | 2883 |
| 1 | 472 | 2811 |
| 2 | 1608 | 2703 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 eps 2)) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 eps 2)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 3) (-.f64 (+.f64 1/3 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 5) (pow.f64 (cos.f64 x) 5))) (*.f64 -2/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x)) (cos.f64 x)))) (pow.f64 eps 4)) (+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 eps 2)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 3) (-.f64 (+.f64 1/3 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 2)) (pow.f64 (cos.f64 eps) 2)) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 4)) (pow.f64 (cos.f64 eps) 2)))) |
(+.f64 (*.f64 (+.f64 (*.f64 4/15 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 1/9 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 6)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 2)) (pow.f64 (cos.f64 eps) 2)) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 4)) (pow.f64 (cos.f64 eps) 2))))) |
(+.f64 (*.f64 (+.f64 (*.f64 4/45 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 34/315 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 8)) (+.f64 (*.f64 (+.f64 (*.f64 4/15 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 1/9 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 6)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 2)) (pow.f64 (cos.f64 eps) 2)) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 4)) (pow.f64 (cos.f64 eps) 2)))))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 (*.f64 (+.f64 (*.f64 4/15 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 1/9 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 eps 6)) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))) |
(+.f64 (*.f64 (+.f64 (*.f64 4/15 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 1/9 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 eps 6)) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 eps 8) (+.f64 (*.f64 4/45 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 34/315 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
| Outputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 x x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))) |
(fma.f64 x (*.f64 x (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3))) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (-.f64 (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))))) |
(fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 4/3)) (pow.f64 x 3) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 x x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)))) |
(fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 4/3 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (pow.f64 x 3) (fma.f64 x (*.f64 x (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3))) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps) |
(+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 eps 2)) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps))) |
(fma.f64 eps (*.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3))) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)) |
(+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 eps 2)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 3) (-.f64 (+.f64 1/3 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) |
(fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps) (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 eps 3) (-.f64 (+.f64 1/3 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) |
(fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps) (fma.f64 (pow.f64 eps 3) (+.f64 1/3 (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(fma.f64 eps (*.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3))) (fma.f64 (pow.f64 eps 3) (+.f64 (+.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 4/3)) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 5) (pow.f64 (cos.f64 x) 5))) (*.f64 -2/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x)) (cos.f64 x)))) (pow.f64 eps 4)) (+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 eps 2)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 3) (-.f64 (+.f64 1/3 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) |
(fma.f64 (fma.f64 1/3 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 5) (pow.f64 (cos.f64 x) 5)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) -2/3)) (/.f64 (-.f64 1/3 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (cos.f64 x) (sin.f64 x))))) (pow.f64 eps 4) (fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps) (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 eps 3) (-.f64 (+.f64 1/3 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) |
(fma.f64 (fma.f64 1/3 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (+.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (cos.f64 x) (sin.f64 x))) (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) -2/3) (/.f64 (pow.f64 (sin.f64 x) 5) (pow.f64 (cos.f64 x) 5))))) (pow.f64 eps 4) (fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps) (fma.f64 (pow.f64 eps 3) (+.f64 1/3 (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) |
(fma.f64 (fma.f64 (/.f64 (+.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (sin.f64 x) (fma.f64 1/3 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) 2/3 (/.f64 (pow.f64 (sin.f64 x) 5) (pow.f64 (cos.f64 x) 5))))) (pow.f64 eps 4) (fma.f64 eps (*.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3))) (fma.f64 (pow.f64 eps 3) (+.f64 (+.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 4/3)) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) |
(/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 x x))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 x x)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 2)) (pow.f64 (cos.f64 eps) 2)) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 4)) (pow.f64 (cos.f64 eps) 2)))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 x x))) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 4)) (pow.f64 (cos.f64 eps) 2)))) |
(fma.f64 2/3 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (pow.f64 x 4)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 x x)))) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 x x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 x 4) 2/3))) |
(+.f64 (*.f64 (+.f64 (*.f64 4/15 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 1/9 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 6)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 2)) (pow.f64 (cos.f64 eps) 2)) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 4)) (pow.f64 (cos.f64 eps) 2))))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 17/45) (pow.f64 x 6) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 x x))) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 4)) (pow.f64 (cos.f64 eps) 2))))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 17/45) (pow.f64 x 6) (fma.f64 2/3 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (pow.f64 x 4)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 x x))))) |
(fma.f64 2/3 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (pow.f64 x 4)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 (*.f64 x x) (*.f64 17/45 (pow.f64 x 6))))) |
(+.f64 (*.f64 (+.f64 (*.f64 4/45 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 34/315 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 8)) (+.f64 (*.f64 (+.f64 (*.f64 4/15 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 1/9 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 6)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 2)) (pow.f64 (cos.f64 eps) 2)) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 4)) (pow.f64 (cos.f64 eps) 2)))))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 62/315) (pow.f64 x 8) (fma.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 17/45) (pow.f64 x 6) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 x x))) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 4)) (pow.f64 (cos.f64 eps) 2)))))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 62/315) (pow.f64 x 8) (fma.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 17/45) (pow.f64 x 6) (fma.f64 2/3 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (pow.f64 x 4)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 x x)))))) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 62/315 (pow.f64 x 8)) (fma.f64 2/3 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (pow.f64 x 4)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 (*.f64 x x) (*.f64 17/45 (pow.f64 x 6)))))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) |
(*.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 eps eps)) |
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (*.f64 2/3 (/.f64 (pow.f64 eps 4) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))) |
(fma.f64 2/3 (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))) |
(fma.f64 2/3 (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 eps eps))) |
(+.f64 (*.f64 (+.f64 (*.f64 4/15 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 1/9 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 eps 6)) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 17/45) (pow.f64 eps 6) (+.f64 (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (*.f64 2/3 (/.f64 (pow.f64 eps 4) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 17/45) (pow.f64 eps 6) (fma.f64 2/3 (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)))) |
(fma.f64 2/3 (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 17/45 (pow.f64 eps 6)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 eps eps)))) |
(+.f64 (*.f64 (+.f64 (*.f64 4/15 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 1/9 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 eps 6)) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 eps 8) (+.f64 (*.f64 4/45 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 34/315 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 17/45) (pow.f64 eps 6) (+.f64 (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (fma.f64 2/3 (/.f64 (pow.f64 eps 4) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (*.f64 (pow.f64 eps 8) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 62/315))))) |
(+.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 17/45) (pow.f64 eps 6) (fma.f64 2/3 (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 62/315 (pow.f64 eps 8)))) |
(+.f64 (fma.f64 2/3 (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 eps eps))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 62/315 (pow.f64 eps 8)) (*.f64 17/45 (pow.f64 eps 6))))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 eps (tan.f64 x)) |
Compiled 10 to 4 computations (60% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | eps | @ | 0 | (-.f64 eps (tan.f64 x)) |
| 0.0ms | eps | @ | inf | (-.f64 eps (tan.f64 x)) |
| 0.0ms | x | @ | 0 | (-.f64 eps (tan.f64 x)) |
| 0.0ms | eps | @ | -inf | (-.f64 eps (tan.f64 x)) |
| 0.0ms | x | @ | inf | (-.f64 eps (tan.f64 x)) |
| 1× | batch-egg-rewrite |
| 644× | pow1_binary64 |
| 598× | add-log-exp_binary64 |
| 598× | log1p-expm1-u_binary64 |
| 598× | expm1-log1p-u_binary64 |
| 585× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 6 |
| 1 | 112 | 6 |
| 2 | 1573 | 6 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 eps (tan.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 eps (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 eps (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 eps (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 eps (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 eps (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (tan.f64 x)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 eps (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 eps (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 eps (tan.f64 x))) (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 x))) 2) (cbrt.f64 (-.f64 eps (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 eps (tan.f64 x))) (sqrt.f64 (-.f64 eps (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 x) 3)) (/.f64 1 (fma.f64 eps eps (*.f64 (tan.f64 x) (+.f64 eps (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 eps (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 eps eps (*.f64 (tan.f64 x) (+.f64 eps (tan.f64 x)))) (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 eps (tan.f64 x)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 eps eps (*.f64 (tan.f64 x) (+.f64 eps (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 2)) (+.f64 eps (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 x) 3))) (neg.f64 (fma.f64 eps eps (*.f64 (tan.f64 x) (+.f64 eps (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 2))) (neg.f64 (+.f64 eps (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (neg.f64 (tan.f64 x)) 3)) (+.f64 (*.f64 eps eps) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))) (*.f64 eps (neg.f64 (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 eps eps) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) (-.f64 eps (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 eps (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 eps (tan.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 eps (tan.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 eps (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 eps (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 eps (tan.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 eps (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 eps (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 eps (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 eps (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (neg.f64 (tan.f64 x))))))) |
| 1× | egg-herbie |
| 572× | cancel-sign-sub-inv_binary64 |
| 498× | fma-def_binary64 |
| 448× | neg-mul-1_binary64 |
| 434× | neg-sub0_binary64 |
| 416× | unswap-sqr_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 241 |
| 1 | 59 | 237 |
| 2 | 130 | 235 |
| 3 | 358 | 233 |
| 4 | 756 | 233 |
| 5 | 1850 | 233 |
| 6 | 4318 | 233 |
| 7 | 5548 | 233 |
| 8 | 6721 | 233 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) |
eps |
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) |
eps |
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) |
eps |
(+.f64 eps (*.f64 -1 x)) |
(+.f64 eps (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3)))) |
(+.f64 eps (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -2/15 (pow.f64 x 5))))) |
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) |
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) |
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) |
eps |
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) |
eps |
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) |
eps |
(+.f64 eps (*.f64 -1 x)) |
(+.f64 eps (neg.f64 x)) |
(-.f64 eps x) |
(+.f64 eps (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3)))) |
(+.f64 eps (fma.f64 -1 x (*.f64 -1/3 (pow.f64 x 3)))) |
(+.f64 eps (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)) |
(fma.f64 -1/3 (pow.f64 x 3) (-.f64 eps x)) |
(-.f64 eps (fma.f64 (pow.f64 x 3) 1/3 x)) |
(+.f64 eps (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -2/15 (pow.f64 x 5))))) |
(+.f64 eps (fma.f64 -1 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -2/15 (pow.f64 x 5))))) |
(+.f64 eps (-.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -2/15 (pow.f64 x 5))) x)) |
(fma.f64 -1/3 (pow.f64 x 3) (-.f64 (fma.f64 -2/15 (pow.f64 x 5) eps) x)) |
(-.f64 (fma.f64 -2/15 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) eps)) x) |
(-.f64 (fma.f64 -2/15 (pow.f64 x 5) eps) (fma.f64 (pow.f64 x 3) 1/3 x)) |
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2))) |
| ✓ | 0.2b | (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)) |
| 0.2b | (pow.f64 (cos.f64 x) 2) | |
| ✓ | 1.6b | (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) |
Compiled 78 to 57 computations (26.9% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | eps | @ | 0 | (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2))) |
| 1.0ms | x | @ | inf | (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2))) |
| 1.0ms | x | @ | -inf | (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2))) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)) |
| 1× | batch-egg-rewrite |
| 708× | log-prod_binary64 |
| 575× | prod-diff_binary64 |
| 253× | expm1-udef_binary64 |
| 253× | log1p-udef_binary64 |
| 234× | pow3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 55 |
| 1 | 292 | 37 |
| 2 | 3818 | 37 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) |
(/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)) |
(*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) -2) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) -2)) eps)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) -2)) eps)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) -2)) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) -2)) eps))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) -2)) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) -2) eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps)) (neg.f64 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (cos.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) 1) (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) eps) (neg.f64 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (neg.f64 (pow.f64 (sin.f64 x) 2))) (neg.f64 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) -2) eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) -2) eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) -2) eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps)) (cos.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) -2) eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) -2)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) -2) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) -2) eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2)) 3) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) -2) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) -2) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) -2) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) -2) eps))) 1)))))) |
| 1× | egg-herbie |
| 446× | associate-+l+_binary64 |
| 386× | associate-+r+_binary64 |
| 367× | fma-neg_binary64 |
| 366× | distribute-rgt-in_binary64 |
| 330× | distribute-lft-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 720 |
| 1 | 184 | 694 |
| 2 | 520 | 621 |
| 3 | 2273 | 615 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 x 2) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(pow.f64 x 2) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(*.f64 eps (pow.f64 x 2)) |
(+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4))) |
(+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4)))) |
(+.f64 (*.f64 (-.f64 (*.f64 -1/315 eps) (+.f64 (*.f64 -2/45 eps) (+.f64 (*.f64 -1 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))) (*.f64 1/3 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))) (pow.f64 x 8)) (+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4))))) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
| Outputs |
|---|
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2)) |
(fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))) |
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x))) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x)))) |
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 2/45 (pow.f64 x 6) (fma.f64 x x (*.f64 -1/315 (pow.f64 x 8))))) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2)) |
(fma.f64 2/3 (pow.f64 x 4) (*.f64 x x)) |
(fma.f64 x x (*.f64 (pow.f64 x 4) 2/3)) |
(fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x))) |
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 x x (*.f64 (pow.f64 x 6) 17/45))) |
(fma.f64 x x (fma.f64 (pow.f64 x 4) 2/3 (*.f64 (pow.f64 x 6) 17/45))) |
(fma.f64 (pow.f64 x 6) 17/45 (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 62/315 (pow.f64 x 8) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)))) |
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (pow.f64 x 8) 62/315 (fma.f64 x x (*.f64 (pow.f64 x 6) 17/45)))) |
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 x x (fma.f64 (pow.f64 x 8) 62/315 (*.f64 (pow.f64 x 6) 17/45)))) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))))) |
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (+.f64 1/2 (*.f64 (cos.f64 (*.f64 x 2)) -1/2))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 x 2)) -1/2 1/2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))))) |
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (+.f64 1/2 (*.f64 (cos.f64 (*.f64 x 2)) -1/2))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 x 2)) -1/2 1/2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))))) |
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (+.f64 1/2 (*.f64 (cos.f64 (*.f64 x 2)) -1/2))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 x 2)) -1/2 1/2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))))) |
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (+.f64 1/2 (*.f64 (cos.f64 (*.f64 x 2)) -1/2))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 x 2)) -1/2 1/2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))))) |
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (+.f64 1/2 (*.f64 (cos.f64 (*.f64 x 2)) -1/2))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 x 2)) -1/2 1/2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))))) |
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (+.f64 1/2 (*.f64 (cos.f64 (*.f64 x 2)) -1/2))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 x 2)) -1/2 1/2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))))) |
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (+.f64 1/2 (*.f64 (cos.f64 (*.f64 x 2)) -1/2))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 x 2)) -1/2 1/2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))))) |
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (+.f64 1/2 (*.f64 (cos.f64 (*.f64 x 2)) -1/2))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 x 2)) -1/2 1/2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))))) |
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (+.f64 1/2 (*.f64 (cos.f64 (*.f64 x 2)) -1/2))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 x 2)) -1/2 1/2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))))) |
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (+.f64 1/2 (*.f64 (cos.f64 (*.f64 x 2)) -1/2))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 x 2)) -1/2 1/2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))))) |
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (+.f64 1/2 (*.f64 (cos.f64 (*.f64 x 2)) -1/2))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 x 2)) -1/2 1/2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))))) |
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (+.f64 1/2 (*.f64 (cos.f64 (*.f64 x 2)) -1/2))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 x 2)) -1/2 1/2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(*.f64 eps (pow.f64 x 2)) |
(*.f64 (*.f64 x x) eps) |
(*.f64 x (*.f64 x eps)) |
(+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4))) |
(fma.f64 eps (*.f64 x x) (*.f64 (pow.f64 x 4) (*.f64 eps 2/3))) |
(fma.f64 (pow.f64 x 4) (*.f64 2/3 eps) (*.f64 x (*.f64 x eps))) |
(*.f64 eps (fma.f64 x x (*.f64 (pow.f64 x 4) 2/3))) |
(*.f64 eps (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x))) |
(+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4)))) |
(fma.f64 (-.f64 (*.f64 2/45 eps) (fma.f64 1/3 eps (neg.f64 (*.f64 eps 2/3)))) (pow.f64 x 6) (fma.f64 eps (*.f64 x x) (*.f64 (pow.f64 x 4) (*.f64 eps 2/3)))) |
(fma.f64 (pow.f64 x 6) (-.f64 (*.f64 eps -13/45) (*.f64 eps -2/3)) (fma.f64 (pow.f64 x 4) (*.f64 2/3 eps) (*.f64 x (*.f64 x eps)))) |
(fma.f64 (pow.f64 x 6) (*.f64 eps 17/45) (*.f64 eps (fma.f64 x x (*.f64 (pow.f64 x 4) 2/3)))) |
(fma.f64 (pow.f64 x 6) (*.f64 eps 17/45) (*.f64 eps (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)))) |
(+.f64 (*.f64 (-.f64 (*.f64 -1/315 eps) (+.f64 (*.f64 -2/45 eps) (+.f64 (*.f64 -1 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))) (*.f64 1/3 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))) (pow.f64 x 8)) (+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4))))) |
(fma.f64 (-.f64 (*.f64 -1/315 eps) (fma.f64 -2/45 eps (fma.f64 -1 (-.f64 (*.f64 2/45 eps) (fma.f64 1/3 eps (neg.f64 (*.f64 eps 2/3)))) (*.f64 (*.f64 eps 2/3) 1/3)))) (pow.f64 x 8) (fma.f64 (-.f64 (*.f64 2/45 eps) (fma.f64 1/3 eps (neg.f64 (*.f64 eps 2/3)))) (pow.f64 x 6) (fma.f64 eps (*.f64 x x) (*.f64 (pow.f64 x 4) (*.f64 eps 2/3))))) |
(fma.f64 (pow.f64 x 8) (-.f64 (*.f64 eps 13/315) (-.f64 (*.f64 eps 2/9) (-.f64 (*.f64 eps -13/45) (*.f64 eps -2/3)))) (fma.f64 (pow.f64 x 6) (-.f64 (*.f64 eps -13/45) (*.f64 eps -2/3)) (fma.f64 (pow.f64 x 4) (*.f64 2/3 eps) (*.f64 x (*.f64 x eps))))) |
(fma.f64 (pow.f64 x 6) (*.f64 eps 17/45) (fma.f64 (pow.f64 x 8) (+.f64 (*.f64 eps -19/105) (*.f64 eps 17/45)) (*.f64 eps (fma.f64 x x (*.f64 (pow.f64 x 4) 2/3))))) |
(fma.f64 (pow.f64 x 6) (*.f64 eps 17/45) (fma.f64 (pow.f64 x 8) (*.f64 eps 62/315) (*.f64 eps (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x))))) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))))) |
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (+.f64 1/2 (*.f64 (cos.f64 (*.f64 x 2)) -1/2))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 x 2)) -1/2 1/2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))))) |
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (+.f64 1/2 (*.f64 (cos.f64 (*.f64 x 2)) -1/2))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 x 2)) -1/2 1/2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))))) |
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (+.f64 1/2 (*.f64 (cos.f64 (*.f64 x 2)) -1/2))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 x 2)) -1/2 1/2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))))) |
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (+.f64 1/2 (*.f64 (cos.f64 (*.f64 x 2)) -1/2))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 x 2)) -1/2 1/2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))))) |
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (+.f64 1/2 (*.f64 (cos.f64 (*.f64 x 2)) -1/2))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 x 2)) -1/2 1/2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))))) |
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (+.f64 1/2 (*.f64 (cos.f64 (*.f64 x 2)) -1/2))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 x 2)) -1/2 1/2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))))) |
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (+.f64 1/2 (*.f64 (cos.f64 (*.f64 x 2)) -1/2))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 x 2)) -1/2 1/2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))))) |
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (+.f64 1/2 (*.f64 (cos.f64 (*.f64 x 2)) -1/2))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 x 2)) -1/2 1/2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) |
| ✓ | 0.2b | (pow.f64 (sin.f64 eps) 2) |
| ✓ | 0.3b | (pow.f64 (cos.f64 eps) 2) |
| ✓ | 15.3b | (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) |
Compiled 35 to 20 computations (42.9% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | inf | (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) |
| 1.0ms | eps | @ | -inf | (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) |
| 1.0ms | eps | @ | -inf | (pow.f64 (cos.f64 eps) 2) |
| 1.0ms | eps | @ | -inf | (pow.f64 (sin.f64 eps) 2) |
| 1.0ms | eps | @ | inf | (pow.f64 (sin.f64 eps) 2) |
| 1× | batch-egg-rewrite |
| 838× | pow1_binary64 |
| 776× | add-log-exp_binary64 |
| 776× | log1p-expm1-u_binary64 |
| 776× | expm1-log1p-u_binary64 |
| 755× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 42 |
| 1 | 190 | 31 |
| 2 | 2227 | 31 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) |
(pow.f64 (cos.f64 eps) 2) |
(pow.f64 (sin.f64 eps) 2) |
(/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (sqrt.f64 (pow.f64 (cos.f64 eps) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (pow.f64 (pow.f64 (cos.f64 eps) -2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2) (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 eps) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (sqrt.f64 (neg.f64 (pow.f64 (cos.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 eps) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 eps) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cos.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (pow.f64 (cos.f64 eps) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (*.f64 (cbrt.f64 (cos.f64 eps)) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 4)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 eps)) (*.f64 (sqrt.f64 (cos.f64 eps)) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 eps) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 eps eps)) (cos.f64 (-.f64 eps eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 eps) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cos.f64 eps)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (sin.f64 eps) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 eps) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (pow.f64 (sin.f64 eps) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (sin.f64 eps)) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 eps)) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 eps) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (sin.f64 eps) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (sin.f64 eps) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2) (*.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cos.f64 eps) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (neg.f64 (pow.f64 (cos.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 eps) -2) (pow.f64 (sin.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) (cos.f64 eps)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 eps) 1) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 eps) (cbrt.f64 (pow.f64 (cos.f64 eps) 4))) (/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 eps) 4))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) (cbrt.f64 (pow.f64 (cos.f64 eps) 4))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)) (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (pow.f64 (cos.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 eps) 2) 3) (pow.f64 (pow.f64 (cos.f64 eps) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2))))))) |
| 1× | egg-herbie |
| 1009× | fma-neg_binary64 |
| 559× | distribute-rgt-out_binary64 |
| 423× | distribute-rgt-neg-in_binary64 |
| 415× | *-commutative_binary64 |
| 381× | unswap-sqr_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 295 |
| 1 | 155 | 277 |
| 2 | 401 | 273 |
| 3 | 1368 | 271 |
| 4 | 2645 | 271 |
| 5 | 4893 | 271 |
| 1× | node limit |
| Inputs |
|---|
eps |
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3))) |
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 2/15 (pow.f64 eps 5)))) |
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (*.f64 17/315 (pow.f64 eps 7)) (*.f64 2/15 (pow.f64 eps 5))))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
1 |
(+.f64 1 (*.f64 -1 (pow.f64 eps 2))) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 eps 2)) (*.f64 1/3 (pow.f64 eps 4)))) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 eps 2)) (+.f64 (*.f64 1/3 (pow.f64 eps 4)) (*.f64 -2/45 (pow.f64 eps 6))))) |
(pow.f64 eps 2) |
(+.f64 (pow.f64 eps 2) (*.f64 -1/3 (pow.f64 eps 4))) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/3 (pow.f64 eps 4)) (*.f64 2/45 (pow.f64 eps 6)))) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/315 (pow.f64 eps 8)) (+.f64 (*.f64 -1/3 (pow.f64 eps 4)) (*.f64 2/45 (pow.f64 eps 6))))) |
(pow.f64 eps 2) |
(+.f64 (pow.f64 eps 2) (*.f64 2/3 (pow.f64 eps 4))) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2/3 (pow.f64 eps 4)) (*.f64 17/45 (pow.f64 eps 6)))) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2/3 (pow.f64 eps 4)) (+.f64 (*.f64 17/45 (pow.f64 eps 6)) (*.f64 62/315 (pow.f64 eps 8))))) |
| Outputs |
|---|
eps |
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3))) |
(fma.f64 1/3 (pow.f64 eps 3) eps) |
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 2/15 (pow.f64 eps 5)))) |
(+.f64 eps (fma.f64 1/3 (pow.f64 eps 3) (*.f64 2/15 (pow.f64 eps 5)))) |
(+.f64 (fma.f64 1/3 (pow.f64 eps 3) eps) (*.f64 2/15 (pow.f64 eps 5))) |
(fma.f64 1/3 (pow.f64 eps 3) (fma.f64 2/15 (pow.f64 eps 5) eps)) |
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (*.f64 17/315 (pow.f64 eps 7)) (*.f64 2/15 (pow.f64 eps 5))))) |
(+.f64 eps (fma.f64 1/3 (pow.f64 eps 3) (fma.f64 17/315 (pow.f64 eps 7) (*.f64 2/15 (pow.f64 eps 5))))) |
(+.f64 (fma.f64 1/3 (pow.f64 eps 3) eps) (fma.f64 2/15 (pow.f64 eps 5) (*.f64 17/315 (pow.f64 eps 7)))) |
(+.f64 eps (fma.f64 1/3 (pow.f64 eps 3) (fma.f64 2/15 (pow.f64 eps 5) (*.f64 17/315 (pow.f64 eps 7))))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
1 |
(+.f64 1 (*.f64 -1 (pow.f64 eps 2))) |
(+.f64 1 (neg.f64 (*.f64 eps eps))) |
(-.f64 1 (*.f64 eps eps)) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 eps 2)) (*.f64 1/3 (pow.f64 eps 4)))) |
(+.f64 1 (fma.f64 -1 (*.f64 eps eps) (*.f64 1/3 (pow.f64 eps 4)))) |
(+.f64 (-.f64 1 (*.f64 eps eps)) (*.f64 1/3 (pow.f64 eps 4))) |
(fma.f64 1/3 (pow.f64 eps 4) (-.f64 1 (*.f64 eps eps))) |
(-.f64 1 (fma.f64 (pow.f64 eps 4) -1/3 (*.f64 eps eps))) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 eps 2)) (+.f64 (*.f64 1/3 (pow.f64 eps 4)) (*.f64 -2/45 (pow.f64 eps 6))))) |
(+.f64 1 (fma.f64 -1 (*.f64 eps eps) (fma.f64 1/3 (pow.f64 eps 4) (*.f64 -2/45 (pow.f64 eps 6))))) |
(+.f64 (-.f64 1 (*.f64 eps eps)) (fma.f64 1/3 (pow.f64 eps 4) (*.f64 -2/45 (pow.f64 eps 6)))) |
(+.f64 1 (-.f64 (fma.f64 -2/45 (pow.f64 eps 6) (*.f64 1/3 (pow.f64 eps 4))) (*.f64 eps eps))) |
(-.f64 (fma.f64 -2/45 (pow.f64 eps 6) 1) (fma.f64 (pow.f64 eps 4) -1/3 (*.f64 eps eps))) |
(pow.f64 eps 2) |
(*.f64 eps eps) |
(+.f64 (pow.f64 eps 2) (*.f64 -1/3 (pow.f64 eps 4))) |
(+.f64 (*.f64 eps eps) (*.f64 (pow.f64 eps 4) -1/3)) |
(fma.f64 (pow.f64 eps 4) -1/3 (*.f64 eps eps)) |
(fma.f64 eps eps (*.f64 (pow.f64 eps 4) -1/3)) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/3 (pow.f64 eps 4)) (*.f64 2/45 (pow.f64 eps 6)))) |
(+.f64 (*.f64 eps eps) (fma.f64 -1/3 (pow.f64 eps 4) (*.f64 (pow.f64 eps 6) 2/45))) |
(fma.f64 eps eps (fma.f64 (pow.f64 eps 4) -1/3 (*.f64 (pow.f64 eps 6) 2/45))) |
(fma.f64 (pow.f64 eps 4) -1/3 (fma.f64 (pow.f64 eps 6) 2/45 (*.f64 eps eps))) |
(fma.f64 eps eps (fma.f64 (pow.f64 eps 6) 2/45 (*.f64 (pow.f64 eps 4) -1/3))) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/315 (pow.f64 eps 8)) (+.f64 (*.f64 -1/3 (pow.f64 eps 4)) (*.f64 2/45 (pow.f64 eps 6))))) |
(+.f64 (*.f64 eps eps) (fma.f64 -1/315 (pow.f64 eps 8) (fma.f64 -1/3 (pow.f64 eps 4) (*.f64 (pow.f64 eps 6) 2/45)))) |
(fma.f64 eps eps (fma.f64 -1/315 (pow.f64 eps 8) (fma.f64 (pow.f64 eps 4) -1/3 (*.f64 (pow.f64 eps 6) 2/45)))) |
(fma.f64 eps eps (fma.f64 (pow.f64 eps 4) -1/3 (fma.f64 (pow.f64 eps 6) 2/45 (*.f64 -1/315 (pow.f64 eps 8))))) |
(pow.f64 eps 2) |
(*.f64 eps eps) |
(+.f64 (pow.f64 eps 2) (*.f64 2/3 (pow.f64 eps 4))) |
(+.f64 (*.f64 eps eps) (*.f64 (pow.f64 eps 4) 2/3)) |
(fma.f64 (pow.f64 eps 4) 2/3 (*.f64 eps eps)) |
(fma.f64 eps eps (*.f64 (pow.f64 eps 4) 2/3)) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2/3 (pow.f64 eps 4)) (*.f64 17/45 (pow.f64 eps 6)))) |
(+.f64 (*.f64 eps eps) (fma.f64 2/3 (pow.f64 eps 4) (*.f64 (pow.f64 eps 6) 17/45))) |
(fma.f64 eps eps (fma.f64 (pow.f64 eps 4) 2/3 (*.f64 (pow.f64 eps 6) 17/45))) |
(fma.f64 (pow.f64 eps 4) 2/3 (fma.f64 (pow.f64 eps 6) 17/45 (*.f64 eps eps))) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2/3 (pow.f64 eps 4)) (+.f64 (*.f64 17/45 (pow.f64 eps 6)) (*.f64 62/315 (pow.f64 eps 8))))) |
(+.f64 (*.f64 eps eps) (fma.f64 2/3 (pow.f64 eps 4) (fma.f64 17/45 (pow.f64 eps 6) (*.f64 (pow.f64 eps 8) 62/315)))) |
(fma.f64 eps eps (fma.f64 (pow.f64 eps 4) 2/3 (fma.f64 (pow.f64 eps 6) 17/45 (*.f64 (pow.f64 eps 8) 62/315)))) |
(fma.f64 eps eps (fma.f64 (pow.f64 eps 4) 2/3 (fma.f64 (pow.f64 eps 8) 62/315 (*.f64 (pow.f64 eps 6) 17/45)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 (tan.f64 x) (tan.f64 eps)) | |
| ✓ | 1.5b | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (exp.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x)) |
| ✓ | 1.6b | (exp.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) |
| ✓ | 9.0b | (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) |
Compiled 74 to 18 computations (75.7% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 89.0ms | x | @ | inf | (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) |
| 66.0ms | x | @ | -inf | (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) |
| 36.0ms | eps | @ | -inf | (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) |
| 16.0ms | eps | @ | inf | (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) |
| 2.0ms | x | @ | 0 | (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) |
| 1× | batch-egg-rewrite |
| 682× | log-prod_binary64 |
| 512× | fma-def_binary64 |
| 275× | fma-neg_binary64 |
| 255× | pow1/3_binary64 |
| 252× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 44 |
| 1 | 276 | 44 |
| 2 | 3990 | 44 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) |
(exp.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) |
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (exp.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x)) |
| Outputs |
|---|
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(tan.f64 x) (neg.f64 (tan.f64 eps)) 1))) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1))) (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (sqrt.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1))) (/.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1))) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (sqrt.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1))) (/.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1))) (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1))) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1))) (sqrt.f64 (tan.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1))) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1))) (sqrt.f64 (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1))) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1))) (sqrt.f64 (tan.f64 x))) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (fma.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (fma.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1) (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (*.f64 (neg.f64 (tan.f64 x)) 1)))))) |
| 1× | egg-herbie |
| 653× | fma-def_binary64 |
| 629× | associate-*r*_binary64 |
| 598× | associate-*l*_binary64 |
| 474× | times-frac_binary64 |
| 386× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 2943 |
| 1 | 584 | 2893 |
| 2 | 1919 | 2803 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (log.f64 x)) |
(+.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (log.f64 x))) |
(+.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (+.f64 (*.f64 7/90 (pow.f64 x 4)) (log.f64 x)))) |
(+.f64 (*.f64 62/2835 (pow.f64 x 6)) (+.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (+.f64 (*.f64 7/90 (pow.f64 x 4)) (log.f64 x))))) |
(log.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))) |
(log.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))) |
(log.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))) |
(log.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))) |
(log.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) |
(log.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) |
(log.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) |
(log.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) |
(+.f64 (log.f64 eps) (log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (log.f64 eps) (*.f64 1/3 (pow.f64 eps 2)))) |
(+.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (log.f64 eps) (+.f64 (*.f64 1/3 (pow.f64 eps 2)) (*.f64 7/90 (pow.f64 eps 4))))) |
(+.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (log.f64 eps) (+.f64 (*.f64 62/2835 (pow.f64 eps 6)) (+.f64 (*.f64 1/3 (pow.f64 eps 2)) (*.f64 7/90 (pow.f64 eps 4)))))) |
(log.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) |
(log.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) |
(log.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) |
(log.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) |
(log.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) |
(log.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) |
(log.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) |
(log.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) |
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps)) |
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) |
(+.f64 (*.f64 2/15 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (cos.f64 eps))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))) |
(+.f64 (*.f64 2/15 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (cos.f64 eps))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (+.f64 (*.f64 17/315 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 7)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) |
(/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)) |
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) |
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 2/15 (/.f64 (*.f64 (pow.f64 eps 5) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))) |
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 2/15 (/.f64 (*.f64 (pow.f64 eps 5) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 17/315 (/.f64 (*.f64 (pow.f64 eps 7) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))))) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x)) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| Outputs |
|---|
(+.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (log.f64 x)) |
(+.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (log.f64 x))) |
(+.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 1/3 (*.f64 x x) (log.f64 x))) |
(+.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 x (*.f64 x 1/3) (log.f64 x))) |
(+.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (+.f64 (*.f64 7/90 (pow.f64 x 4)) (log.f64 x)))) |
(+.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 1/3 (*.f64 x x) (fma.f64 7/90 (pow.f64 x 4) (log.f64 x)))) |
(+.f64 (fma.f64 7/90 (pow.f64 x 4) (log.f64 x)) (fma.f64 x (*.f64 x 1/3) (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(+.f64 (*.f64 62/2835 (pow.f64 x 6)) (+.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (+.f64 (*.f64 7/90 (pow.f64 x 4)) (log.f64 x))))) |
(fma.f64 62/2835 (pow.f64 x 6) (+.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 1/3 (*.f64 x x) (fma.f64 7/90 (pow.f64 x 4) (log.f64 x))))) |
(+.f64 (fma.f64 1/3 (*.f64 x x) (fma.f64 7/90 (pow.f64 x 4) (log.f64 x))) (fma.f64 62/2835 (pow.f64 x 6) (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(fma.f64 62/2835 (pow.f64 x 6) (+.f64 (fma.f64 7/90 (pow.f64 x 4) (log.f64 x)) (fma.f64 x (*.f64 x 1/3) (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) |
(log.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))) |
(log.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(log.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(log.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))) |
(log.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(log.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(log.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))) |
(log.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(log.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(log.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))) |
(log.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(log.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(log.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) |
(log.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(log.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(log.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) |
(log.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(log.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(log.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) |
(log.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(log.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(log.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) |
(log.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(log.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (log.f64 eps) (log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (log.f64 eps) (*.f64 1/3 (pow.f64 eps 2)))) |
(+.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (log.f64 eps) (*.f64 1/3 (*.f64 eps eps)))) |
(+.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (fma.f64 1/3 (*.f64 eps eps) (log.f64 eps))) |
(+.f64 (log.f64 eps) (fma.f64 eps (*.f64 eps 1/3) (log.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (log.f64 eps) (+.f64 (*.f64 1/3 (pow.f64 eps 2)) (*.f64 7/90 (pow.f64 eps 4))))) |
(+.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (log.f64 eps) (fma.f64 1/3 (*.f64 eps eps) (*.f64 7/90 (pow.f64 eps 4))))) |
(+.f64 (log.f64 eps) (+.f64 (fma.f64 7/90 (pow.f64 eps 4) (*.f64 eps (*.f64 eps 1/3))) (log.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (fma.f64 eps (*.f64 eps 1/3) (fma.f64 7/90 (pow.f64 eps 4) (log.f64 eps)))) |
(+.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (log.f64 eps) (+.f64 (*.f64 62/2835 (pow.f64 eps 6)) (+.f64 (*.f64 1/3 (pow.f64 eps 2)) (*.f64 7/90 (pow.f64 eps 4)))))) |
(+.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (log.f64 eps) (fma.f64 62/2835 (pow.f64 eps 6) (fma.f64 1/3 (*.f64 eps eps) (*.f64 7/90 (pow.f64 eps 4)))))) |
(+.f64 (log.f64 eps) (+.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (fma.f64 62/2835 (pow.f64 eps 6) (fma.f64 7/90 (pow.f64 eps 4) (*.f64 eps (*.f64 eps 1/3)))))) |
(+.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (fma.f64 62/2835 (pow.f64 eps 6) (fma.f64 eps (*.f64 eps 1/3) (fma.f64 7/90 (pow.f64 eps 4) (log.f64 eps))))) |
(log.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) |
(log.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(log.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(log.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) |
(log.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(log.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(log.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) |
(log.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(log.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(log.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) |
(log.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(log.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(log.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) |
(log.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(log.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(log.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) |
(log.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(log.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(log.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) |
(log.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(log.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(log.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) |
(log.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(log.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps)) |
(/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)) |
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x) |
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) |
(fma.f64 1/3 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (pow.f64 x 3))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) |
(fma.f64 1/3 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 x 3)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)) |
(+.f64 (*.f64 2/15 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (cos.f64 eps))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))) |
(fma.f64 2/15 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (pow.f64 x 5))) (fma.f64 1/3 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (pow.f64 x 3))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))) |
(fma.f64 2/15 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 x 5)) (fma.f64 1/3 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 x 3)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x))) |
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x (fma.f64 1/3 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 x 3)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 x 5) 2/15)))) |
(+.f64 (*.f64 2/15 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (cos.f64 eps))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (+.f64 (*.f64 17/315 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 7)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))))) |
(fma.f64 2/15 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (pow.f64 x 5))) (fma.f64 1/3 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (pow.f64 x 3))) (fma.f64 17/315 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (pow.f64 x 7))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))))) |
(fma.f64 2/15 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 x 5)) (fma.f64 1/3 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 x 3)) (fma.f64 17/315 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (pow.f64 x 7))) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)))) |
(fma.f64 2/15 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 x 5)) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x (fma.f64 1/3 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 x 3)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 x 7) 17/315))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
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(+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
Compiled 27670 to 12670 computations (54.2% saved)
71 alts after pruning (64 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 916 | 24 | 940 |
| Fresh | 7 | 40 | 47 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 6 | 8 |
| Total | 925 | 71 | 996 |
| Status | Error | Program |
|---|---|---|
| ✓ | 53.2b | (-.f64 eps (tan.f64 x)) |
| 49.7b | (/.f64 1 (sqrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))) | |
| 21.3b | (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))) 3) | |
| ✓ | 20.5b | (fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (neg.f64 (tan.f64 x))) |
| 20.7b | (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x))) | |
| 31.4b | (+.f64 eps (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) eps)))) | |
| 53.6b | (*.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (/.f64 1 (-.f64 eps (*.f64 eps (*.f64 x x))))) | |
| 53.4b | (sqrt.f64 (-.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2)) 1)) | |
| 55.2b | (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 1)) | |
| 31.5b | (+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))))) | |
| 54.1b | (+.f64 eps (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3)))) | |
| 31.4b | (+.f64 eps (*.f64 eps (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -2))))) | |
| 52.0b | (-.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 6))) (tan.f64 x)) | |
| 29.7b | (log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x)))) | |
| 50.9b | (-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x)) | |
| 38.7b | (cbrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) | |
| 53.7b | (-.f64 eps x) | |
| 32.0b | (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (*.f64 (-.f64 1/3 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -4/3) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) eps)))) | |
| 44.8b | (log.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) | |
| 31.5b | (+.f64 eps (*.f64 eps (expm1.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) | |
| 45.5b | (fabs.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) | |
| 60.5b | (sqrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) | |
| 41.6b | (+.f64 eps (pow.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps)) (cos.f64 x)) 2)) | |
| 51.1b | (sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) | |
| 51.0b | (-.f64 (/.f64 (sin.f64 eps) (fma.f64 eps (*.f64 eps -1/2) 1)) (tan.f64 x)) | |
| 31.4b | (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) | |
| 50.4b | (fabs.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) | |
| 20.8b | (fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))) | |
| 37.7b | (-.f64 (tan.f64 eps) (tan.f64 x)) | |
| 50.4b | (-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x)) | |
| 26.9b | (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3) | |
| 26.3b | (*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps))) | |
| 31.4b | (+.f64 eps (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) | |
| 20.8b | (log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) | |
| 32.0b | (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)))) | |
| 28.3b | (expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x)))) | |
| 42.3b | eps | |
| 20.7b | (-.f64 (/.f64 1 (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) | |
| 41.8b | (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1))) | |
| 20.5b | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x)) | |
| ✓ | 20.5b | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) |
| 59.5b | (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) | |
| ✓ | 24.9b | (cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) 3)) |
| 20.6b | (fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1) 2))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1))) (neg.f64 (tan.f64 x))) | |
| 31.5b | (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))))) | |
| 53.7b | (/.f64 1 (/.f64 (-.f64 eps (*.f64 eps (*.f64 x x))) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))))) | |
| 35.6b | (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) | |
| 21.5b | (-.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1))) 3) (tan.f64 x)) | |
| 25.0b | (-.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3)) (tan.f64 x)) | |
| 42.9b | (+.f64 eps (log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))) | |
| 42.8b | (+.f64 eps (*.f64 1/3 (pow.f64 eps 3))) | |
| 50.7b | (-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x)) | |
| 20.5b | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x)) | |
| 31.4b | (+.f64 eps (/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2))) | |
| 44.8b | (-.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) | |
| 20.6b | (-.f64 (*.f64 (fma.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)) (tan.f64 x)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x)) | |
| ✓ | 20.5b | (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x)) |
| 53.6b | (/.f64 (-.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)) (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 x x)) eps)) | |
| 26.3b | (/.f64 (sin.f64 eps) (cos.f64 eps)) | |
| 41.8b | (+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) 1))) | |
| 45.2b | (-.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (pow.f64 (cos.f64 eps) 2))) (tan.f64 x)) | |
| 45.8b | (pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x)) 3) 1/3) | |
| ✓ | 40.6b | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (exp.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x)) |
| 20.7b | (-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) | |
| 20.5b | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (tan.f64 x)) | |
| 53.4b | (sqrt.f64 (/.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 eps) 2)) 1) (pow.f64 (cos.f64 eps) 2))) | |
| 26.3b | (/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) | |
| 42.3b | (+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (-.f64 1 (*.f64 x x))))) | |
| ✓ | 20.5b | (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))) |
| 23.0b | (-.f64 (/.f64 (*.f64 (/.f64 1 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (-.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)) | |
| 26.3b | (log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
Compiled 1191 to 800 computations (32.8% saved)
| Inputs |
|---|
eps |
(-.f64 eps x) |
(+.f64 eps (*.f64 eps (*.f64 x x))) |
(-.f64 eps (tan.f64 x)) |
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3))) |
(+.f64 eps (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3)))) |
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) 1))) |
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (-.f64 1 (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)) (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 x x)) eps)) |
(*.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (/.f64 1 (-.f64 eps (*.f64 eps (*.f64 x x))))) |
(/.f64 1 (/.f64 (-.f64 eps (*.f64 eps (*.f64 x x))) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(-.f64 (tan.f64 eps) (tan.f64 x)) |
(-.f64 (tan.f64 eps) (tan.f64 x)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) |
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) |
(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps))) |
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) |
(-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x)) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(-.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1))) |
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))))) |
(fabs.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(fabs.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) |
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 1)) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) |
(+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) |
(-.f64 (/.f64 (sin.f64 eps) (fma.f64 eps (*.f64 eps -1/2) 1)) (tan.f64 x)) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x)) |
(-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (tan.f64 x)) |
(-.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x)) |
(+.f64 eps (/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2))) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))))) |
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)))) |
(log.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) |
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3) |
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) |
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2)) |
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x)) |
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)) |
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) |
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) |
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) |
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) |
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) |
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3)) |
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x)) |
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x)) |
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) |
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) |
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x)) |
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x)) |
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x)) |
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3) |
(sqrt.f64 (-.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2)) 1)) |
(+.f64 eps (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 eps (*.f64 eps (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -2))))) |
(+.f64 eps (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) eps)))) |
(+.f64 eps (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 eps (pow.f64 (sin.f64 x) 2))))) |
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) |
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 6))) (tan.f64 x)) |
(-.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (pow.f64 (cos.f64 eps) 2))) (tan.f64 x)) |
(/.f64 1 (sqrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))) |
(+.f64 eps (*.f64 eps (expm1.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) |
(+.f64 eps (pow.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps)) (cos.f64 x)) 2)) |
(sqrt.f64 (/.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 eps) 2)) 1) (pow.f64 (cos.f64 eps) 2))) |
(+.f64 eps (log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))) |
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) |
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x)) |
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) |
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x)) |
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x)) |
(+.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (neg.f64 (tan.f64 x))) |
(-.f64 (/.f64 1 (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) |
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))) |
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x)) |
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x)) |
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (tan.f64 x)) |
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) |
(-.f64 (pow.f64 (/.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1) (+.f64 (tan.f64 x) (tan.f64 eps))) -1) (tan.f64 x)) |
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (exp.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x)) |
(-.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3)) (tan.f64 x)) |
(-.f64 (*.f64 (fma.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)) (tan.f64 x)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x)) |
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x)))) |
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x)))) |
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)))) |
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)))) |
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))) 3) |
(-.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1))) 3) (tan.f64 x)) |
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) 3)) |
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))) 3) |
(-.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) 3) (tan.f64 x)) |
(pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x)) 3) 1/3) |
(pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x)) 3) 1/3) |
(pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) 3) 1/3) |
(fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))) |
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)))) (exp.f64 (tan.f64 x)))) |
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x))) |
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x))) |
(fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (neg.f64 (tan.f64 x))) |
(fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (neg.f64 (tan.f64 x))) |
(-.f64 (/.f64 (*.f64 (/.f64 1 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (-.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)) |
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)))) |
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 eps (*.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3))))) |
(-.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 2)) 1) (/.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) (tan.f64 x)) |
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 eps eps) (cos.f64 x)))) |
(fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) (neg.f64 (tan.f64 x))) |
(+.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1) 2))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1))) (neg.f64 (tan.f64 x))) |
(fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1) 2))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) (neg.f64 (tan.f64 x))) |
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (*.f64 (-.f64 1/3 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -4/3) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) eps)))) |
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (*.f64 (-.f64 1/3 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -4/3) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) eps)))) |
(fma.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -1/3) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (neg.f64 (pow.f64 eps 3)) (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 eps eps) (cos.f64 x))))) |
| Outputs |
|---|
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) |
(+.f64 eps (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) eps)))) |
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x)) |
4 calls:
| 1.2s | x |
| 502.0ms | eps |
| 219.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 152.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 9.6b | 8 | x |
| 0.3b | 3 | eps |
| 7.9b | 3 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 7.9b | 3 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 1994 to 845 computations (57.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 150.0ms | 1.1607855148576445e-36 | 1.2229960570212006e-35 |
| 75.0ms | -2.2035044657257864e-5 | -8.573860600694171e-10 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
eps |
(-.f64 eps x) |
(+.f64 eps (*.f64 eps (*.f64 x x))) |
(-.f64 eps (tan.f64 x)) |
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3))) |
(+.f64 eps (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3)))) |
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) 1))) |
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (-.f64 1 (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)) (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 x x)) eps)) |
(*.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (/.f64 1 (-.f64 eps (*.f64 eps (*.f64 x x))))) |
(/.f64 1 (/.f64 (-.f64 eps (*.f64 eps (*.f64 x x))) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(-.f64 (tan.f64 eps) (tan.f64 x)) |
(-.f64 (tan.f64 eps) (tan.f64 x)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) |
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) |
(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps))) |
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) |
(-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x)) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(-.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1))) |
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))))) |
(fabs.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(fabs.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) |
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 1)) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) |
(+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) |
(-.f64 (/.f64 (sin.f64 eps) (fma.f64 eps (*.f64 eps -1/2) 1)) (tan.f64 x)) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x)) |
(-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (tan.f64 x)) |
(-.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x)) |
(+.f64 eps (/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2))) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))))) |
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)))) |
(log.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) |
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3) |
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) |
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2)) |
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x)) |
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)) |
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) |
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) |
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) |
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) |
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) |
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3)) |
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x)) |
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x)) |
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) |
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) |
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x)) |
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x)) |
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x)) |
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3) |
(sqrt.f64 (-.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2)) 1)) |
(+.f64 eps (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 eps (*.f64 eps (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -2))))) |
(+.f64 eps (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) eps)))) |
(+.f64 eps (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 eps (pow.f64 (sin.f64 x) 2))))) |
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) |
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 6))) (tan.f64 x)) |
(-.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (pow.f64 (cos.f64 eps) 2))) (tan.f64 x)) |
(/.f64 1 (sqrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))) |
(+.f64 eps (*.f64 eps (expm1.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) |
(+.f64 eps (pow.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps)) (cos.f64 x)) 2)) |
(sqrt.f64 (/.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 eps) 2)) 1) (pow.f64 (cos.f64 eps) 2))) |
(+.f64 eps (log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))) |
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) |
| Outputs |
|---|
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) |
(+.f64 eps (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) eps)))) |
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) |
4 calls:
| 373.0ms | x |
| 226.0ms | eps |
| 140.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 133.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 9.6b | 8 | x |
| 0.3b | 3 | eps |
| 7.9b | 3 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 7.9b | 3 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 874 to 402 computations (54% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 62.0ms | 1.1607855148576445e-36 | 1.2229960570212006e-35 |
| 56.0ms | -2.2035044657257864e-5 | -8.573860600694171e-10 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
eps |
(-.f64 eps x) |
(+.f64 eps (*.f64 eps (*.f64 x x))) |
(-.f64 eps (tan.f64 x)) |
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3))) |
(+.f64 eps (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3)))) |
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) 1))) |
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (-.f64 1 (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)) (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 x x)) eps)) |
(*.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (/.f64 1 (-.f64 eps (*.f64 eps (*.f64 x x))))) |
(/.f64 1 (/.f64 (-.f64 eps (*.f64 eps (*.f64 x x))) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(-.f64 (tan.f64 eps) (tan.f64 x)) |
(-.f64 (tan.f64 eps) (tan.f64 x)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) |
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) |
(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps))) |
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) |
(-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x)) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(-.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1))) |
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))))) |
(fabs.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(fabs.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) |
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 1)) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) |
(+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) |
(-.f64 (/.f64 (sin.f64 eps) (fma.f64 eps (*.f64 eps -1/2) 1)) (tan.f64 x)) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x)) |
(-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (tan.f64 x)) |
(-.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x)) |
(+.f64 eps (/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2))) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))))) |
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)))) |
(log.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) |
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3) |
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) |
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2)) |
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x)) |
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)) |
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) |
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) |
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) |
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) |
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) |
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3)) |
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x)) |
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x)) |
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) |
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) |
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x)) |
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x)) |
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x)) |
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3) |
(sqrt.f64 (-.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2)) 1)) |
(+.f64 eps (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 eps (*.f64 eps (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -2))))) |
(+.f64 eps (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) eps)))) |
(+.f64 eps (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 eps (pow.f64 (sin.f64 x) 2))))) |
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) |
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 6))) (tan.f64 x)) |
(-.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (pow.f64 (cos.f64 eps) 2))) (tan.f64 x)) |
(/.f64 1 (sqrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))) |
(+.f64 eps (*.f64 eps (expm1.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) |
(+.f64 eps (pow.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps)) (cos.f64 x)) 2)) |
(sqrt.f64 (/.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 eps) 2)) 1) (pow.f64 (cos.f64 eps) 2))) |
(+.f64 eps (log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))) |
| Outputs |
|---|
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) |
(+.f64 eps (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) eps)))) |
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) |
4 calls:
| 238.0ms | eps |
| 128.0ms | x |
| 82.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 77.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 17.5b | 3 | x |
| 15.3b | 3 | eps |
| 16.2b | 3 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 16.2b | 3 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 858 to 397 computations (53.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 53.0ms | 4.37400911955214e-8 | 2067.919527535249 |
| 53.0ms | -2.2035044657257864e-5 | -8.573860600694171e-10 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
eps |
(-.f64 eps x) |
(+.f64 eps (*.f64 eps (*.f64 x x))) |
(-.f64 eps (tan.f64 x)) |
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3))) |
(+.f64 eps (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3)))) |
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) 1))) |
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (-.f64 1 (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)) (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 x x)) eps)) |
(*.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (/.f64 1 (-.f64 eps (*.f64 eps (*.f64 x x))))) |
(/.f64 1 (/.f64 (-.f64 eps (*.f64 eps (*.f64 x x))) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(-.f64 (tan.f64 eps) (tan.f64 x)) |
(-.f64 (tan.f64 eps) (tan.f64 x)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) |
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) |
(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps))) |
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) |
(-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x)) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(-.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1))) |
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))))) |
(fabs.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(fabs.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) |
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 1)) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) |
(+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) |
(-.f64 (/.f64 (sin.f64 eps) (fma.f64 eps (*.f64 eps -1/2) 1)) (tan.f64 x)) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x)) |
(-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (tan.f64 x)) |
(-.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x)) |
(+.f64 eps (/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2))) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))))) |
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)))) |
(log.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) |
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3) |
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) |
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2)) |
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x)) |
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)) |
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) |
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) |
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) |
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) |
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) |
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3)) |
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x)) |
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x)) |
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) |
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) |
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x)) |
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x)) |
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x)) |
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3) |
(sqrt.f64 (-.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2)) 1)) |
(+.f64 eps (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 eps (*.f64 eps (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -2))))) |
| Outputs |
|---|
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) |
(+.f64 eps (/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) |
4 calls:
| 125.0ms | eps |
| 99.0ms | x |
| 73.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 66.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 17.5b | 3 | x |
| 15.3b | 3 | eps |
| 16.2b | 3 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 16.2b | 3 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 703 to 307 computations (56.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 96.0ms | 4.37400911955214e-8 | 2067.919527535249 |
| 59.0ms | -2.2035044657257864e-5 | -8.573860600694171e-10 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
eps |
(-.f64 eps x) |
(+.f64 eps (*.f64 eps (*.f64 x x))) |
(-.f64 eps (tan.f64 x)) |
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3))) |
(+.f64 eps (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3)))) |
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) 1))) |
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (-.f64 1 (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)) (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 x x)) eps)) |
(*.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (/.f64 1 (-.f64 eps (*.f64 eps (*.f64 x x))))) |
(/.f64 1 (/.f64 (-.f64 eps (*.f64 eps (*.f64 x x))) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(-.f64 (tan.f64 eps) (tan.f64 x)) |
(-.f64 (tan.f64 eps) (tan.f64 x)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) |
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) |
(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps))) |
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) |
(-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x)) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(-.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1))) |
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))))) |
(fabs.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(fabs.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) |
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 1)) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) |
(+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) |
(-.f64 (/.f64 (sin.f64 eps) (fma.f64 eps (*.f64 eps -1/2) 1)) (tan.f64 x)) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x)) |
(-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (tan.f64 x)) |
(-.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x)) |
(+.f64 eps (/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2))) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))))) |
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)))) |
(log.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) |
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3) |
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) |
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2)) |
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x)) |
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)) |
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) |
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) |
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) |
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
| Outputs |
|---|
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) |
(+.f64 eps (/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
4 calls:
| 83.0ms | eps |
| 79.0ms | x |
| 41.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 38.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 17.5b | 3 | x |
| 15.4b | 3 | eps |
| 16.3b | 3 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 16.3b | 3 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 539 to 239 computations (55.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 46.0ms | 4.37400911955214e-8 | 2067.919527535249 |
| 47.0ms | -2.2035044657257864e-5 | -8.573860600694171e-10 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
eps |
(-.f64 eps x) |
(+.f64 eps (*.f64 eps (*.f64 x x))) |
(-.f64 eps (tan.f64 x)) |
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3))) |
(+.f64 eps (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3)))) |
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) 1))) |
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (-.f64 1 (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)) (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 x x)) eps)) |
(*.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (/.f64 1 (-.f64 eps (*.f64 eps (*.f64 x x))))) |
(/.f64 1 (/.f64 (-.f64 eps (*.f64 eps (*.f64 x x))) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(-.f64 (tan.f64 eps) (tan.f64 x)) |
(-.f64 (tan.f64 eps) (tan.f64 x)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) |
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) |
(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps))) |
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) |
(-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x)) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(-.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1))) |
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))))) |
(fabs.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(fabs.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) |
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 1)) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) |
(+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) |
(-.f64 (/.f64 (sin.f64 eps) (fma.f64 eps (*.f64 eps -1/2) 1)) (tan.f64 x)) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x)) |
(-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (tan.f64 x)) |
(-.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x)) |
| Outputs |
|---|
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) |
(+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
3 calls:
| 50.0ms | eps |
| 48.0ms | x |
| 29.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 17.5b | 3 | x |
| 15.4b | 3 | eps |
| 16.3b | 3 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 346 to 156 computations (54.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 47.0ms | 4.37400911955214e-8 | 2067.919527535249 |
| 53.0ms | -2.2035044657257864e-5 | -8.573860600694171e-10 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
eps |
(-.f64 eps x) |
(+.f64 eps (*.f64 eps (*.f64 x x))) |
(-.f64 eps (tan.f64 x)) |
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3))) |
(+.f64 eps (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3)))) |
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) 1))) |
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (-.f64 1 (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)) (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 x x)) eps)) |
(*.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (/.f64 1 (-.f64 eps (*.f64 eps (*.f64 x x))))) |
(/.f64 1 (/.f64 (-.f64 eps (*.f64 eps (*.f64 x x))) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(-.f64 (tan.f64 eps) (tan.f64 x)) |
(-.f64 (tan.f64 eps) (tan.f64 x)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) |
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) |
(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps))) |
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) |
(-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x)) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(-.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1))) |
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))))) |
(fabs.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(fabs.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) |
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 1)) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) |
| Outputs |
|---|
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) |
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
3 calls:
| 37.0ms | x |
| 36.0ms | eps |
| 23.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 17.6b | 3 | x |
| 15.5b | 3 | eps |
| 16.4b | 3 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 283 to 134 computations (52.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 45.0ms | 4.37400911955214e-8 | 2067.919527535249 |
| 47.0ms | -2.2035044657257864e-5 | -8.573860600694171e-10 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
eps |
(-.f64 eps x) |
(+.f64 eps (*.f64 eps (*.f64 x x))) |
(-.f64 eps (tan.f64 x)) |
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3))) |
(+.f64 eps (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3)))) |
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) 1))) |
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (-.f64 1 (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)) (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 x x)) eps)) |
(*.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (/.f64 1 (-.f64 eps (*.f64 eps (*.f64 x x))))) |
(/.f64 1 (/.f64 (-.f64 eps (*.f64 eps (*.f64 x x))) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(-.f64 (tan.f64 eps) (tan.f64 x)) |
(-.f64 (tan.f64 eps) (tan.f64 x)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) |
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) |
(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps))) |
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) |
(-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x)) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(-.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1))) |
| Outputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
3 calls:
| 12.0ms | eps |
| 11.0ms | x |
| 7.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 26.3b | 1 | x |
| 26.3b | 1 | eps |
| 26.3b | 1 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 227 to 107 computations (52.9% saved)
| Inputs |
|---|
eps |
(-.f64 eps x) |
(+.f64 eps (*.f64 eps (*.f64 x x))) |
(-.f64 eps (tan.f64 x)) |
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3))) |
(+.f64 eps (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3)))) |
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) 1))) |
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (-.f64 1 (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)) (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 x x)) eps)) |
(*.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (/.f64 1 (-.f64 eps (*.f64 eps (*.f64 x x))))) |
(/.f64 1 (/.f64 (-.f64 eps (*.f64 eps (*.f64 x x))) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))))) |
| Outputs |
|---|
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) 1))) |
2 calls:
| 7.0ms | x |
| 6.0ms | eps |
| Error | Segments | Branch |
|---|---|---|
| 41.8b | 1 | x |
| 41.8b | 1 | eps |
Compiled 134 to 70 computations (47.8% saved)
Total -12.2b remaining (-28.9%)
Threshold costs -12.2b (-28.9%)
| Inputs |
|---|
eps |
(-.f64 eps x) |
(+.f64 eps (*.f64 eps (*.f64 x x))) |
(-.f64 eps (tan.f64 x)) |
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3))) |
(+.f64 eps (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3)))) |
| Outputs |
|---|
eps |
2 calls:
| 4.0ms | eps |
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 42.3b | 1 | x |
| 42.3b | 1 | eps |
Compiled 41 to 25 computations (39% saved)
| 1× | egg-herbie |
| 16× | +-commutative_binary64 |
| 13× | *-commutative_binary64 |
| 9× | sub-neg_binary64 |
| 5× | neg-sub0_binary64 |
| 5× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 509 |
| 1 | 103 | 509 |
| 2 | 123 | 509 |
| 3 | 132 | 509 |
| 4 | 138 | 509 |
| 5 | 140 | 509 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 eps -6503597271123149/295147905179352825856) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 6948822755550997/5986310706507378352962293074805895248510699696029696) (+.f64 eps (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) eps)))) (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x)))) |
(if (<=.f64 eps -6503597271123149/295147905179352825856) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 6948822755550997/5986310706507378352962293074805895248510699696029696) (+.f64 eps (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) eps)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) |
(if (<=.f64 eps -6503597271123149/295147905179352825856) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) (if (<=.f64 eps 3304907849910271/75557863725914323419136) (+.f64 eps (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) eps)))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))))) |
(if (<=.f64 eps -6503597271123149/295147905179352825856) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) (if (<=.f64 eps 3304907849910271/75557863725914323419136) (+.f64 eps (/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))))) |
(if (<=.f64 eps -6503597271123149/295147905179352825856) (/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) (if (<=.f64 eps 3304907849910271/75557863725914323419136) (+.f64 eps (/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(if (<=.f64 eps -6503597271123149/295147905179352825856) (/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) (if (<=.f64 eps 3304907849910271/75557863725914323419136) (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(if (<=.f64 eps -6503597271123149/295147905179352825856) (/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) (if (<=.f64 eps 3304907849910271/75557863725914323419136) (+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) 1))) |
eps |
| Outputs |
|---|
(if (<=.f64 eps -6503597271123149/295147905179352825856) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 6948822755550997/5986310706507378352962293074805895248510699696029696) (+.f64 eps (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) eps)))) (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x)))) |
(if (<=.f64 eps -6503597271123149/295147905179352825856) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 6948822755550997/5986310706507378352962293074805895248510699696029696) (+.f64 eps (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 eps (pow.f64 (sin.f64 x) 2))))) (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x)))) |
(if (<=.f64 eps -6503597271123149/295147905179352825856) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 6948822755550997/5986310706507378352962293074805895248510699696029696) (+.f64 eps (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) eps)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) |
(if (<=.f64 eps -6503597271123149/295147905179352825856) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 6948822755550997/5986310706507378352962293074805895248510699696029696) (+.f64 eps (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 eps (pow.f64 (sin.f64 x) 2))))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) |
(if (<=.f64 eps -6503597271123149/295147905179352825856) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) (if (<=.f64 eps 3304907849910271/75557863725914323419136) (+.f64 eps (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) eps)))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))))) |
(if (<=.f64 eps -6503597271123149/295147905179352825856) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) (if (<=.f64 eps 3304907849910271/75557863725914323419136) (+.f64 eps (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 eps (pow.f64 (sin.f64 x) 2))))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))))) |
(if (<=.f64 eps -6503597271123149/295147905179352825856) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) (if (<=.f64 eps 3304907849910271/75557863725914323419136) (+.f64 eps (/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))))) |
(if (<=.f64 eps -6503597271123149/295147905179352825856) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) (if (<=.f64 eps 3304907849910271/75557863725914323419136) (+.f64 eps (/.f64 (*.f64 eps (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 x 2))))) (pow.f64 (cos.f64 x) 2))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))))) |
(if (<=.f64 eps -6503597271123149/295147905179352825856) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) (if (<=.f64 eps 3304907849910271/75557863725914323419136) (+.f64 eps (/.f64 (*.f64 eps (+.f64 1/2 (*.f64 (cos.f64 (*.f64 x 2)) -1/2))) (pow.f64 (cos.f64 x) 2))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))))) |
(if (<=.f64 eps -6503597271123149/295147905179352825856) (/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) (if (<=.f64 eps 3304907849910271/75557863725914323419136) (+.f64 eps (/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(if (<=.f64 eps -6503597271123149/295147905179352825856) (/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) (if (<=.f64 eps 3304907849910271/75557863725914323419136) (+.f64 eps (/.f64 (*.f64 eps (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 x 2))))) (pow.f64 (cos.f64 x) 2))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(if (<=.f64 eps -6503597271123149/295147905179352825856) (/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) (if (<=.f64 eps 3304907849910271/75557863725914323419136) (+.f64 eps (/.f64 (*.f64 eps (+.f64 1/2 (*.f64 (cos.f64 (*.f64 x 2)) -1/2))) (pow.f64 (cos.f64 x) 2))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(if (<=.f64 eps -6503597271123149/295147905179352825856) (/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) (if (<=.f64 eps 3304907849910271/75557863725914323419136) (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(if (<=.f64 eps -6503597271123149/295147905179352825856) (/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) (if (<=.f64 eps 3304907849910271/75557863725914323419136) (+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(if (<=.f64 eps -6503597271123149/295147905179352825856) (/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) (if (<=.f64 eps 3304907849910271/75557863725914323419136) (+.f64 eps (*.f64 eps (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 x 2)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2))))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(if (<=.f64 eps -6503597271123149/295147905179352825856) (/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) (if (<=.f64 eps 3304907849910271/75557863725914323419136) (+.f64 eps (*.f64 eps (/.f64 (+.f64 1/2 (*.f64 (cos.f64 (*.f64 x 2)) -1/2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2))))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) 1))) |
(+.f64 eps (*.f64 eps (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 x 2)))))) |
(+.f64 eps (*.f64 eps (+.f64 1/2 (*.f64 (cos.f64 (*.f64 x 2)) -1/2)))) |
eps |
Compiled 347 to 217 computations (37.5% saved)
| 1× | egg-herbie |
| 525× | associate-*r*_binary64 |
| 512× | associate-*l*_binary64 |
| 492× | fma-def_binary64 |
| 437× | distribute-rgt-in_binary64 |
| 426× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 126 | 1922 |
| 1 | 378 | 1835 |
| 2 | 1243 | 1670 |
| 1× | node limit |
Compiled 116 to 92 computations (20.7% saved)
Compiled 329 to 169 computations (48.6% saved)
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