Time bar (total: 20.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 5 |
| 18.8% | 18.7% | 81.2% | 0.1% | 0% | 0% | 0% | 6 |
| 21.9% | 21.9% | 78% | 0.1% | 0% | 0% | 0% | 7 |
| 23.4% | 23.4% | 76.5% | 0.1% | 0% | 0% | 0% | 8 |
| 24.2% | 24.2% | 75.7% | 0.1% | 0% | 0% | 0% | 9 |
| 24.6% | 24.6% | 75.3% | 0.1% | 0% | 0% | 0% | 10 |
| 24.8% | 24.8% | 75.1% | 0.1% | 0% | 0% | 0% | 11 |
| 24.9% | 24.9% | 75% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 10 to 7 computations (30% saved)
| 2.0s | 3587× | body | 1024 | valid |
| 1.2s | 1225× | body | 2048 | valid |
| 466.0ms | 1433× | body | 512 | valid |
| 395.0ms | 2008× | body | 256 | valid |
| 4.0ms | 3× | 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 |
|---|---|---|
| ▶ | 36.5b | (-.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 |
|---|---|---|
| ✓ | 1.1b | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| ✓ | 2.8b | (tan.f64 (+.f64 x eps)) |
Compiled 20 to 6 computations (70% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | (tan.f64 (+.f64 x eps)) |
| 4.0ms | x | @ | inf | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 3.0ms | eps | @ | 0 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 3.0ms | eps | @ | inf | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 3.0ms | eps | @ | 0 | (tan.f64 (+.f64 x eps)) |
| 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 |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (tan.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (+.f64 x eps))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (tan.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (tan.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (+.f64 x eps)))) 2) 3) (cbrt.f64 (tan.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (+.f64 x eps)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (+.f64 x eps)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3/2) 1/3) (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (sqrt.f64 (tan.f64 (+.f64 x eps)))) 1/3) (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tan.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 x eps))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 x eps)) (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 (+.f64 x 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 (+.f64 x 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 (+.f64 x eps)) (tan.f64 x)) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 -1 (tan.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 (+.f64 x 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 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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)
33 alts after pruning (32 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 159 | 32 | 191 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 159 | 33 | 192 |
| Status | Error | Program |
|---|---|---|
| 22.3b | (/.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))) | |
| 47.0b | (-.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))) (tan.f64 x)) | |
| 51.2b | (-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x)) | |
| 46.6b | (log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (tan.f64 x))))) | |
| 50.6b | (-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x)) | |
| 53.6b | (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x)) | |
| ▶ | 37.2b | (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) |
| 22.2b | (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))) | |
| 51.0b | (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)) | |
| 51.1b | (-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x)) | |
| 37.2b | (log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) | |
| 37.2b | (-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x)) | |
| 41.0b | (expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) | |
| 22.2b | (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x)) | |
| ▶ | 37.0b | (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) |
| 36.6b | (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (tan.f64 x)) | |
| 52.8b | (pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3) | |
| 22.4b | (+.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)))) | |
| 29.2b | (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) | |
| 51.5b | (-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) | |
| ▶ | 22.2b | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) |
| 29.3b | (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) | |
| 61.3b | (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) | |
| ▶ | 41.1b | (-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
| 22.3b | (-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) | |
| 41.1b | (-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x)) | |
| ✓ | 36.5b | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 36.7b | (-.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x)) | |
| 46.6b | (-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) | |
| ▶ | 47.0b | (log.f64 (/.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (exp.f64 (tan.f64 x)))) |
| 29.7b | (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)))) | |
| 37.1b | (-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
Compiled 1009 to 690 computations (31.6% 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)) |
| ✓ | 3.5b | (-.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 | |
|---|---|---|---|---|
| 6.0ms | x | @ | -inf | (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) |
| 5.0ms | x | @ | inf | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) |
| 4.0ms | eps | @ | 0 | (*.f64 (tan.f64 x) (tan.f64 eps)) |
| 3.0ms | eps | @ | 0 | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) |
| 3.0ms | 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 |
|---|
((#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 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 eps) (neg.f64 (tan.f64 x)) 1)) (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 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))))) 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(neg.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.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 log.f64 (+.f64 1 (expm1.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 cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 log1p.f64 (expm1.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 (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)))))) |
(-.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))) |
(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))) |
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(+.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))))) |
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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)))) |
(+.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))))) |
(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 (-.f64 1/3 (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (neg.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)))))) (pow.f64 x 3) (/.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 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 x)) (/.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 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 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)))) |
(/.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 (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 (/.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 (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))))) |
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(+.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 (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 (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 eps (/.f64 (cos.f64 x) eps)) (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2)))))) |
(/.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)) |
| ✓ | 0.1b | (/.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 | @ | inf | (-.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 | @ | 0 | (-.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 (log1p.f64 (tan.f64 (+.f64 x eps)))) |
| ✓ | 0.2b | (log1p.f64 (tan.f64 (+.f64 x eps))) |
| 2.8b | (tan.f64 (+.f64 x eps)) | |
| ✓ | 4.2b | (-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
Compiled 33 to 8 computations (75.8% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 54.0ms | x | @ | -inf | (log1p.f64 (tan.f64 (+.f64 x eps))) |
| 48.0ms | eps | @ | -inf | (log1p.f64 (tan.f64 (+.f64 x eps))) |
| 37.0ms | x | @ | inf | (log1p.f64 (tan.f64 (+.f64 x eps))) |
| 15.0ms | eps | @ | inf | (log1p.f64 (tan.f64 (+.f64 x eps))) |
| 4.0ms | x | @ | 0 | (-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
| 1× | batch-egg-rewrite |
| 932× | prod-diff_binary64 |
| 457× | log-prod_binary64 |
| 359× | fma-def_binary64 |
| 272× | pow2_binary64 |
| 192× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 25 |
| 1 | 189 | 25 |
| 2 | 2829 | 25 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(log1p.f64 (tan.f64 (+.f64 x eps))) |
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 896× | fma-def_binary64 |
| 827× | distribute-rgt-in_binary64 |
| 814× | distribute-lft-in_binary64 |
| 607× | associate-/l*_binary64 |
| 156× | associate-/r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 208 | 3319 |
| 1 | 689 | 3141 |
| 2 | 2510 | 2879 |
| 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))) |
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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 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)))) |
| 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 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))) |
(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 (-.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 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 (*.f64 x x) (-.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 x (+.f64 x (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))))) (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))) |
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (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 (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 eps) (/.f64 (cos.f64 eps) (*.f64 (*.f64 x x) (-.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 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 x (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))))) (fma.f64 (neg.f64 (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2 (-.f64 (+.f64 1/2 (/.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))))))) (pow.f64 x 3) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))))) |
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))) (fma.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)) (neg.f64 (pow.f64 x 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 (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 (cos.f64 x) (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 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 eps 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 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.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 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (+.f64 -1/2 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 1/6 (*.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 (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))))) (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 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 eps 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 (*.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 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.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 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.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 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (+.f64 -1/2 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 1/6 (*.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)))) (pow.f64 eps 4) (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (+.f64 -1/2 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 1/6 (*.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 eps) (/.f64 (/.f64 (cos.f64 x) (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 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 eps eps))) (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))) |
(log.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) x) (log.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(fma.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1))))) x (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(fma.f64 x (+.f64 (/.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)))) (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(fma.f64 x (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (pow.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2))) (*.f64 2 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (*.f64 (cos.f64 eps) (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (pow.f64 x 2))) (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) x) (log.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) |
(fma.f64 1/2 (*.f64 (*.f64 x x) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (pow.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) 2)) (*.f64 2 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (*.f64 (cos.f64 eps) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (sin.f64 eps)))))) (fma.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1))))) x (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(fma.f64 1/2 (*.f64 (*.f64 x x) (-.f64 (*.f64 2 (*.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (cos.f64 eps) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1))) (sin.f64 eps))) (/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (pow.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) 2)))) (fma.f64 x (+.f64 (/.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)))) (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(fma.f64 (*.f64 x x) (*.f64 1/2 (-.f64 (*.f64 2 (*.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (fma.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)) (cos.f64 eps))) (sin.f64 eps))) (/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (pow.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) 2)))) (fma.f64 x (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (pow.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2))) (*.f64 2 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (*.f64 (cos.f64 eps) (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (pow.f64 x 2))) (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) x) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 3) (pow.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3))) (+.f64 (*.f64 -6 (/.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 1/6 (+.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 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 -6 (/.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (sin.f64 eps)) (*.f64 (cos.f64 eps) (pow.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)))))) (pow.f64 x 3))) (log.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) |
(fma.f64 1/2 (*.f64 (*.f64 x x) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (pow.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) 2)) (*.f64 2 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (*.f64 (cos.f64 eps) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (sin.f64 eps)))))) (fma.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1))))) x (fma.f64 1/6 (*.f64 (pow.f64 x 3) (fma.f64 2 (/.f64 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 3) (pow.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) 3)) (*.f64 -6 (+.f64 (/.f64 (fma.f64 -1 (/.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 1/6 (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (*.f64 1/6 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (*.f64 (/.f64 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (cos.f64 eps)) (/.f64 (sin.f64 eps) (pow.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) 2))))))) (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) |
(fma.f64 1/2 (*.f64 (*.f64 x x) (-.f64 (*.f64 2 (*.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (cos.f64 eps) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1))) (sin.f64 eps))) (/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (pow.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) 2)))) (fma.f64 x (+.f64 (/.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)))) (fma.f64 1/6 (*.f64 (pow.f64 x 3) (fma.f64 2 (/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 3) (pow.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) 3)) (*.f64 -6 (+.f64 (/.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))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (*.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (cos.f64 eps) (pow.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) 2))) (sin.f64 eps)))))) (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) |
(fma.f64 (*.f64 x x) (*.f64 1/2 (-.f64 (*.f64 2 (*.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (fma.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)) (cos.f64 eps))) (sin.f64 eps))) (/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (pow.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) 2)))) (fma.f64 (pow.f64 x 3) (*.f64 1/6 (fma.f64 2 (pow.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) 3) (*.f64 -6 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (pow.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) 2)) (/.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))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)))))) (fma.f64 x (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) |
(log.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) |
(log1p.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(log.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) |
(log1p.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(log.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) |
(log1p.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(log.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) |
(log1p.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(log.f64 (+.f64 1 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))))) |
(log1p.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(log.f64 (+.f64 1 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))))) |
(log1p.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(log.f64 (+.f64 1 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))))) |
(log1p.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(log.f64 (+.f64 1 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))))) |
(log1p.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(log.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(log1p.f64 (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))))) eps) (log.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(fma.f64 (-.f64 (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))))) eps (log1p.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(fma.f64 eps (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (log1p.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 2))) (*.f64 2 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (cos.f64 x) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))))))) (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))))) eps) (log.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))))) |
(fma.f64 1/2 (*.f64 (*.f64 eps eps) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (fma.f64 (-.f64 (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))))) eps (log1p.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(fma.f64 1/2 (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.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) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 2)))) (fma.f64 eps (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (log1p.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))))) (fma.f64 eps (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (log1p.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -6 (/.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 (sin.f64 x) (cos.f64 x))))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 3))) (*.f64 -6 (/.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)) (*.f64 (cos.f64 x) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 2)))))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 2))) (*.f64 2 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (cos.f64 x) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))))))) (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))))) eps) (log.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))))) |
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (fma.f64 -6 (/.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 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.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 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (fma.f64 2 (/.f64 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 3)) (*.f64 -6 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 2))))))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (fma.f64 (-.f64 (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))))) eps (log1p.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))) |
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (fma.f64 -6 (/.f64 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (+.f64 -1/2 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 1/6 (*.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 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (fma.f64 2 (/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 3)) (*.f64 -6 (*.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (cos.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 2))))))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.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) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 2)))) (fma.f64 eps (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (log1p.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))) |
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (fma.f64 2 (pow.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) 3) (*.f64 -6 (+.f64 (*.f64 (/.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) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 2))) (/.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))))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))))) (fma.f64 eps (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (log1p.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))) |
(log.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) |
(log1p.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(log.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) |
(log1p.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(log.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) |
(log1p.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(log.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) |
(log1p.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(log.f64 (+.f64 1 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))) |
(log1p.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(log.f64 (+.f64 1 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))) |
(log1p.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(log.f64 (+.f64 1 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))) |
(log1p.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(log.f64 (+.f64 1 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))) |
(log1p.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps 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))) |
(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 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.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 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 (*.f64 x x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (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 (sin.f64 eps) (cos.f64 eps)) (fma.f64 x (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 x (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))))))) |
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))) (fma.f64 x (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.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 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 (*.f64 x x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (fma.f64 -1 (*.f64 (pow.f64 x 3) (fma.f64 -1 (/.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)))))) (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 1/6 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(+.f64 (-.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 x (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))))) (*.f64 (pow.f64 x 3) (-.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))))))) (fma.f64 x (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(fma.f64 x (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (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))))) (/.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 (*.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)))) |
(+.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 eps eps) (/.f64 (/.f64 (cos.f64 x) (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 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 (*.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 (*.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 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.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 eps eps) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (+.f64 -1/2 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 1/6 (*.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 (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 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.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))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) |
| ✓ | 0.4b | (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) |
| 1.1b | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) | |
| 2.8b | (tan.f64 (+.f64 x eps)) |
Compiled 39 to 10 computations (74.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 85.0ms | eps | @ | 0 | (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) |
| 29.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) |
| 24.0ms | eps | @ | 0 | (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) |
| 8.0ms | eps | @ | inf | (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) |
| 3.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) |
| 1× | batch-egg-rewrite |
| 883× | prod-diff_binary64 |
| 488× | log-prod_binary64 |
| 376× | fma-def_binary64 |
| 293× | pow2_binary64 |
| 199× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 24 |
| 1 | 236 | 24 |
| 2 | 3103 | 24 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) |
(cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6)) (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6)) (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6) (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 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6)) (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6) (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))) (cbrt.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1)))))) |
| 1× | egg-herbie |
| 919× | fma-def_binary64 |
| 530× | associate-+l+_binary64 |
| 522× | associate-+r+_binary64 |
| 432× | times-frac_binary64 |
| 405× | *-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 184 | 2967 |
| 1 | 618 | 2841 |
| 2 | 2226 | 2611 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) |
(+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9)) (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9))) x)) |
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 eps)) (cos.f64 eps)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/3) (+.f64 (*.f64 -1 (/.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 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))))) (*.f64 1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 32)) (pow.f64 (cos.f64 eps) 32)) 1/9)))) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.f64 -1/3 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.f64 -1 (/.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)))) (pow.f64 1 1/3))))) (pow.f64 x 2)) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9)) (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9))) x))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/9) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/3) (+.f64 (*.f64 -1 (/.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 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))))) (*.f64 1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 32)) (pow.f64 (cos.f64 eps) 32)) 1/9))))) (+.f64 (*.f64 -2/9 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.f64 -1 (/.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)))) (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 13)) (pow.f64 (cos.f64 eps) 13)) 1/9))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.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 1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/3)) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 13)) (pow.f64 (cos.f64 eps) 13)) 1/9) (+.f64 (*.f64 -1 (/.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 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))))) (+.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 (pow.f64 (/.f64 (*.f64 1 (sin.f64 eps)) (cos.f64 eps)) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 10)) (pow.f64 (cos.f64 eps) 10)) 1/9) (+.f64 (*.f64 -1 (/.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 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/3) (+.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 1/2 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (*.f64 1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/3)) (+.f64 (*.f64 -2/3 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.f64 -1 (/.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)))) (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 13)) (pow.f64 (cos.f64 eps) 13)) 1/9))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))))))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 eps)) (cos.f64 eps)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/3) (+.f64 (*.f64 -1 (/.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 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))))) (*.f64 1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 32)) (pow.f64 (cos.f64 eps) 32)) 1/9)))) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.f64 -1/3 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.f64 -1 (/.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)))) (pow.f64 1 1/3))))) (pow.f64 x 2)) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9)) (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9))) x)))) |
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(*.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 1 1/3)) |
(*.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 1 1/3)) |
(*.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 1 1/3)) |
(*.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 1 1/3)) |
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/9) x)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3)) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/9) x)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) 1) (pow.f64 (sin.f64 eps) 2)) 1/3) (*.f64 (+.f64 (*.f64 -1 (/.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 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))) (pow.f64 x 2)))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3))) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/9) x)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) 1) (pow.f64 (sin.f64 eps) 2)) 1/3) (*.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 1/2 (+.f64 (*.f64 1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/3)) (+.f64 (*.f64 -2/3 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.f64 -1 (/.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)))) (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 13)) (pow.f64 (cos.f64 eps) 13)) 1/9))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (pow.f64 x 3)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) 1) (pow.f64 (sin.f64 eps) 2)) 1/3) (*.f64 (+.f64 (*.f64 -1 (/.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 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))) (pow.f64 x 2)))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3)))) |
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3) |
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3) |
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3) |
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3) |
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3) |
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3) |
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3) |
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3) |
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3) |
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3) |
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3) |
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3) |
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3) |
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3) |
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3) |
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9)) (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9))) x)) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18)) 1) x)) |
(fma.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18)) x (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 eps)) (cos.f64 eps)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/3) (+.f64 (*.f64 -1 (/.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 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))))) (*.f64 1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 32)) (pow.f64 (cos.f64 eps) 32)) 1/9)))) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.f64 -1/3 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.f64 -1 (/.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)))) (pow.f64 1 1/3))))) (pow.f64 x 2)) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9)) (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9))) x))) |
(fma.f64 (fma.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (neg.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18)))) (fma.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (*.f64 -1/3 (*.f64 1 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (neg.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))))))) (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18)) 1) x))) |
(fma.f64 (fma.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18)) (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (/.f64 (neg.f64 (sin.f64 eps)) (/.f64 (cos.f64 eps) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 -2/3 (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)))))) (fma.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (/.f64 (neg.f64 (sin.f64 eps)) (/.f64 (cos.f64 eps) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) 2/9))) (*.f64 x x) (fma.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(fma.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18)) x (fma.f64 (fma.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18)) (*.f64 (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 -2/3 (-.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18))) (*.f64 (sin.f64 eps) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps))))))) (fma.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) 2/9 (*.f64 (-.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18))) (*.f64 (sin.f64 eps) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps)))) -1/3))) (*.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/9) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/3) (+.f64 (*.f64 -1 (/.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 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))))) (*.f64 1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 32)) (pow.f64 (cos.f64 eps) 32)) 1/9))))) (+.f64 (*.f64 -2/9 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.f64 -1 (/.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)))) (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 13)) (pow.f64 (cos.f64 eps) 13)) 1/9))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.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 1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/3)) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 13)) (pow.f64 (cos.f64 eps) 13)) 1/9) (+.f64 (*.f64 -1 (/.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 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))))) (+.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 (pow.f64 (/.f64 (*.f64 1 (sin.f64 eps)) (cos.f64 eps)) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 10)) (pow.f64 (cos.f64 eps) 10)) 1/9) (+.f64 (*.f64 -1 (/.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 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/3) (+.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 1/2 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (*.f64 1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/3)) (+.f64 (*.f64 -2/3 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.f64 -1 (/.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)))) (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 13)) (pow.f64 (cos.f64 eps) 13)) 1/9))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))))))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 eps)) (cos.f64 eps)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/3) (+.f64 (*.f64 -1 (/.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 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))))) (*.f64 1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 32)) (pow.f64 (cos.f64 eps) 32)) 1/9)))) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.f64 -1/3 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.f64 -1 (/.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)))) (pow.f64 1 1/3))))) (pow.f64 x 2)) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9)) (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9))) x)))) |
(fma.f64 (fma.f64 1/3 (*.f64 (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (neg.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18)))) (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18))) (fma.f64 -2/9 (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (neg.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18))) (+.f64 (*.f64 -1/3 (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 1/27 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16))) (fma.f64 -2/3 (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (neg.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 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(fma.f64 x (*.f64 x (fma.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18)) (*.f64 (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 -2/3 (-.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18))) (*.f64 (sin.f64 eps) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps))))))) (fma.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) 2/9 (*.f64 (-.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18))) (*.f64 (sin.f64 eps) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps)))) -1/3)))) (fma.f64 (fma.f64 (-.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18))) (*.f64 (sin.f64 eps) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps)))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18))) (fma.f64 1/3 (*.f64 (fma.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18)) (*.f64 (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 -2/3 (-.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18))) (*.f64 (sin.f64 eps) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps))))))) (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18))) (fma.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (-.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18))) (*.f64 (sin.f64 eps) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps)))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 10) (pow.f64 (cos.f64 eps) 10)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 10) (pow.f64 (cos.f64 eps) 10)) 1/18)))) (*.f64 (+.f64 (fma.f64 -2/3 (*.f64 (-.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18))) (*.f64 (sin.f64 eps) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps)))) (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18))) (fma.f64 1/27 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16))) (*.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))) (+.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -2/3 (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))))) -1/3))))) (pow.f64 x 3) (fma.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18)) x (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(*.f64 1 (-.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 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(*.f64 1 (-.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 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(*.f64 1 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
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(*.f64 1 (-.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 1 1/3) (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(*.f64 1 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
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(*.f64 1 (-.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))) |
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(*.f64 1 (-.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 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(*.f64 1 (-.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 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(*.f64 1 (-.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 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(*.f64 1 (-.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 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(*.f64 1 (-.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 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 1 1/3)) |
(*.f64 1 (-.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 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 1 1/3)) |
(*.f64 1 (-.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 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 1 1/3)) |
(*.f64 1 (-.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 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 1 1/3)) |
(*.f64 1 (-.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))) |
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) |
(cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/9) x)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3)) |
(fma.f64 1/3 (*.f64 x (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18))) (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/9) x)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) 1) (pow.f64 (sin.f64 eps) 2)) 1/3) (*.f64 (+.f64 (*.f64 -1 (/.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 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))) (pow.f64 x 2)))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3))) |
(fma.f64 1/3 (*.f64 x (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (neg.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (*.f64 x x))) (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(fma.f64 1/3 (*.f64 x (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18))) (fma.f64 -1/3 (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (/.f64 (neg.f64 (sin.f64 eps)) (/.f64 (cos.f64 eps) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))) (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(fma.f64 1/3 (*.f64 x (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 -1/3 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))) (-.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18))) (*.f64 (sin.f64 eps) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps)))) (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/9) x)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) 1) (pow.f64 (sin.f64 eps) 2)) 1/3) (*.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 1/2 (+.f64 (*.f64 1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/3)) (+.f64 (*.f64 -2/3 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.f64 -1 (/.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)))) (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 13)) (pow.f64 (cos.f64 eps) 13)) 1/9))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (pow.f64 x 3)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) 1) (pow.f64 (sin.f64 eps) 2)) 1/3) (*.f64 (+.f64 (*.f64 -1 (/.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 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))) (pow.f64 x 2)))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3)))) |
(fma.f64 1/3 (*.f64 x (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 x 3) (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 1/2 (fma.f64 1/27 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16))) (fma.f64 -2/3 (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (neg.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6)))))))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (neg.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (*.f64 x x))) (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) |
(+.f64 (*.f64 (*.f64 -1/3 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))) (+.f64 (*.f64 (+.f64 (fma.f64 1/27 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16))) (fma.f64 -2/3 (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (/.f64 (neg.f64 (sin.f64 eps)) (/.f64 (cos.f64 eps) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18))) (-.f64 (*.f64 (/.f64 1/6 (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.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 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (/.f64 (neg.f64 (sin.f64 eps)) (/.f64 (cos.f64 eps) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 x x)))) (fma.f64 1/3 (*.f64 x (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18))) (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(fma.f64 (*.f64 -1/3 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 (fma.f64 -2/3 (*.f64 (-.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18))) (*.f64 (sin.f64 eps) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps)))) (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18))) (fma.f64 1/27 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16))) (*.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)))) (-.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18))) (*.f64 (sin.f64 eps) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps)))))) (fma.f64 1/3 (*.f64 x (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18))) (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3) |
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3) |
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3) |
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3) |
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3) |
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3) |
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3) |
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3) |
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3) |
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3) |
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3) |
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3) |
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3) |
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3) |
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3) |
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3) |
(cbrt.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 |
|---|---|---|
| ✓ | 0.2b | (expm1.f64 (tan.f64 (+.f64 x eps))) |
| ✓ | 0.8b | (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) |
| 2.8b | (tan.f64 (+.f64 x eps)) | |
| ✓ | 8.7b | (log.f64 (/.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (exp.f64 (tan.f64 x)))) |
Compiled 52 to 17 computations (67.3% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 180.0ms | eps | @ | -inf | (log.f64 (/.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (exp.f64 (tan.f64 x)))) |
| 35.0ms | eps | @ | inf | (log.f64 (/.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (exp.f64 (tan.f64 x)))) |
| 25.0ms | x | @ | inf | (log.f64 (/.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (exp.f64 (tan.f64 x)))) |
| 20.0ms | x | @ | -inf | (log.f64 (/.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (exp.f64 (tan.f64 x)))) |
| 5.0ms | eps | @ | 0 | (log.f64 (/.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (exp.f64 (tan.f64 x)))) |
| 1× | batch-egg-rewrite |
| 813× | prod-diff_binary64 |
| 606× | log-prod_binary64 |
| 384× | fma-def_binary64 |
| 236× | expm1-udef_binary64 |
| 236× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 37 |
| 1 | 258 | 27 |
| 2 | 3588 | 27 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (exp.f64 (tan.f64 x)))) |
(+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) |
(expm1.f64 (tan.f64 (+.f64 x eps))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 326× | associate-/l*_binary64 |
| 324× | times-frac_binary64 |
| 268× | fma-def_binary64 |
| 261× | associate-*l/_binary64 |
| 231× | associate-*r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 262 | 5412 |
| 1 | 904 | 4883 |
| 2 | 3487 | 4387 |
| 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 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) 2) (pow.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2))) (*.f64 2 (/.f64 (-.f64 (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (/.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 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 1/2 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (exp.f64 (/.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)))) |
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(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (exp.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 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (*.f64 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)))))) |
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(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) |
(+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (/.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))) (pow.f64 x 2))) (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) |
(+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (/.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))) (pow.f64 x 2))) (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.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 1/6 (+.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 (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 1/6 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 3)))) (pow.f64 x 3)))))) |
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) |
(exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) |
(exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) |
(exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) |
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (exp.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 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.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 (exp.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 (+.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))))))))))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 eps 3))) (+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.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 (exp.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))))))))) |
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) |
(exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) |
(exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) |
(exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) |
(-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(-.f64 (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) 1) |
(-.f64 (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (/.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))) (pow.f64 x 2))) (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) 1) |
(-.f64 (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (/.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))) (pow.f64 x 2))) (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (*.f64 -1 (+.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))))))) (+.f64 (/.f64 (*.f64 (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 1/6 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 3)))) (pow.f64 x 3))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))) 1) |
(-.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) 1) |
(-.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) 1) |
(-.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) 1) |
(-.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) 1) |
(-.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) 1) |
(-.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) 1) |
(-.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) 1) |
(-.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) 1) |
(-.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) 1) |
(-.f64 (+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (exp.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))))))) 1) |
(-.f64 (+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.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 (exp.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)))))))) 1) |
(-.f64 (+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.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 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.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 (exp.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))))))))) 1) |
(-.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) 1) |
(-.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) 1) |
(-.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) 1) |
(-.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) 1) |
(-.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) 1) |
(-.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) 1) |
(-.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) 1) |
(-.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) 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 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) |
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) 2) (pow.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2))) (*.f64 2 (/.f64 (-.f64 (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (/.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 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 1/2 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (exp.f64 (/.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 1/2 (*.f64 (fma.f64 -1 (/.f64 (pow.f64 (fma.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (neg.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) 2) (pow.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)) (/.f64 (*.f64 2 (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 1/2 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (/.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))))) (fma.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 1/2 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))) (exp.f64 (/.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 1/2 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 (+.f64 (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) 1) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 1/2))) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (pow.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) 2) (pow.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)))) (*.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))) |
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(fma.f64 1/6 (*.f64 (fma.f64 -6 (/.f64 (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 1/2 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (/.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))))) (fma.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 1/2 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (/.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2) (fma.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (neg.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (fma.f64 6 (/.f64 (-.f64 (*.f64 (exp.f64 (/.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)))) (fma.f64 -1 (+.f64 1/6 (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (neg.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 1/6 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 3)) (/.f64 (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 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 1/2 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (/.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 (fma.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (neg.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))))) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 2 (/.f64 (pow.f64 (fma.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (neg.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) 3) (pow.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3))))) (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (fma.f64 -1 (/.f64 (pow.f64 (fma.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (neg.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) 2) (pow.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)) (/.f64 (*.f64 2 (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 1/2 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (/.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))))) (fma.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 1/2 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))) (exp.f64 (/.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 1/6 (*.f64 (fma.f64 -6 (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) 1) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 1/2))) (pow.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)) (-.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (fma.f64 2 (/.f64 (pow.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) 3) (pow.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)) (*.f64 6 (/.f64 (-.f64 (*.f64 (exp.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 (fma.f64 1/6 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 3) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2))) (-.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)))))))) (+.f64 (*.f64 (+.f64 (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) 1) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 1/2 (-.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (pow.f64 x 3)) (fma.f64 (*.f64 1/2 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 (+.f64 (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) 1) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 1/2))) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (pow.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) 2) (pow.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)))) (*.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 1/6 (*.f64 (fma.f64 -6 (*.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1)) (pow.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)) (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 1/2 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 3/2 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))))))) (fma.f64 2 (pow.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1)) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) 3) (*.f64 (/.f64 6 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (+.f64 (*.f64 (exp.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))) (-.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)))))) (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (+.f64 (*.f64 1/6 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (+.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 1/2 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) 1))) (*.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1)) -1/2))))) (pow.f64 x 3)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 (*.f64 (+.f64 (/.f64 -1/2 (/.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2) (pow.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1)) 2))) (/.f64 1 (/.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 1/2 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 3/2 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))))))))) x) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) |
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(log.f64 (exp.f64 (-.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))) |
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(log.f64 (exp.f64 (-.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))) |
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(log.f64 (exp.f64 (-.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))) |
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(log.f64 (exp.f64 (-.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))) |
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(log.f64 (exp.f64 (-.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))) |
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(log.f64 (exp.f64 (-.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))) |
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(log.f64 (exp.f64 (-.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))) |
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(log.f64 (exp.f64 (-.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 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 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (*.f64 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 1/2 (*.f64 (*.f64 eps eps) (fma.f64 -1 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2) (*.f64 2 (+.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)))))) |
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(fma.f64 1/24 (*.f64 (pow.f64 eps 4) (fma.f64 -6 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) (fma.f64 24 (*.f64 (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 (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 -24 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (+.f64 (*.f64 1/6 (+.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 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 -12 (pow.f64 (*.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)))))) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) (*.f64 24 (-.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))))))))))))))) (fma.f64 1/2 (*.f64 eps (*.f64 eps (+.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) 2) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) 0)))) (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 (*.f64 (*.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 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -6)) (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) 3) (*.f64 6 (-.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))) 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))))))))) 1/6))))) |
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(log.f64 (exp.f64 (-.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))) |
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(log.f64 (exp.f64 (-.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))) |
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(log.f64 (exp.f64 (-.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))) |
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(log.f64 (exp.f64 (-.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))) |
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(log.f64 (exp.f64 (-.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))) |
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(log.f64 (exp.f64 (-.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))) |
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(log.f64 (exp.f64 (-.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))) |
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(log.f64 (exp.f64 (-.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))) |
(exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) |
(+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) |
(*.f64 (+.f64 (+.f64 x (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 1) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (/.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))) (pow.f64 x 2))) (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) |
(fma.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (*.f64 x x) (fma.f64 1/2 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (/.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 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) |
(fma.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (*.f64 x (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 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 (+.f64 x (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 1) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (+.f64 (+.f64 x (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 1) (*.f64 x (*.f64 x (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 1/2 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))))))) |
(+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (/.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))) (pow.f64 x 2))) (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.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 1/6 (+.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 (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 1/6 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 3)))) (pow.f64 x 3)))))) |
(fma.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (*.f64 x x) (fma.f64 1/2 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (/.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 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 x (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 (pow.f64 x 3) (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 1/6 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (neg.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 1/6 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 3)) (/.f64 (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 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 x (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (pow.f64 x 3) (-.f64 (fma.f64 1/6 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 3) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2))) (-.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))))))))) (*.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) 1) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (fma.f64 (pow.f64 x 3) (+.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 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/3)) (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (+.f64 (*.f64 1/6 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (+.f64 x (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 1/2 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) 1))) |
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) |
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) |
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) |
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) |
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (exp.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 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (exp.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))))))) |
(*.f64 (+.f64 (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)) 1) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(*.f64 (+.f64 (+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) 1) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.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 (exp.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 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.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 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (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))))) (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(*.f64 (+.f64 (*.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))))))))) 1) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.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))))))))))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 eps 3))) (+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.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 (exp.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))))))))) |
(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 (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)))) 2))) (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))))))))))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 eps 3)) (+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.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))))))))) |
(+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 eps (*.f64 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)))))) |
(*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (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 (*.f64 1/6 (+.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 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 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.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))))))) 1))) |
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) |
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) |
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) |
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) |
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps 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 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (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 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) 1)) |
(+.f64 -1 (*.f64 (+.f64 (+.f64 x (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 1) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(fma.f64 (+.f64 (+.f64 x (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 1) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) -1) |
(-.f64 (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (/.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))) (pow.f64 x 2))) (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) 1) |
(+.f64 (fma.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (*.f64 x x) (fma.f64 1/2 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (/.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 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) -1) |
(fma.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 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 x x) (+.f64 -1 (*.f64 (+.f64 (+.f64 x (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 1) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) |
(+.f64 -1 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (+.f64 (+.f64 x (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 1) (*.f64 x (*.f64 x (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 1/2 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (sin.f64 eps) (cos.f64 eps))))))))) |
(-.f64 (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (/.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))) (pow.f64 x 2))) (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (*.f64 -1 (+.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))))))) (+.f64 (/.f64 (*.f64 (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 1/6 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 3)))) (pow.f64 x 3))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))) 1) |
(+.f64 (fma.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (*.f64 x x) (fma.f64 1/2 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (/.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 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 (pow.f64 x 3) (fma.f64 -1 (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 1/6 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (*.f64 1/6 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 3)) (/.f64 (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 x (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))) -1) |
(+.f64 -1 (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 x (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (pow.f64 x 3) (-.f64 (fma.f64 1/6 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 3) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2))) (-.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))))))))) (*.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) 1) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) |
(+.f64 -1 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (fma.f64 (pow.f64 x 3) (+.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 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/3)) (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (+.f64 (*.f64 1/6 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (+.f64 x (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 1/2 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) 1)))) |
(-.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) 1) |
(expm1.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(-.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) 1) |
(expm1.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(-.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) 1) |
(expm1.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(-.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) 1) |
(expm1.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(-.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) 1) |
(expm1.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(-.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) 1) |
(expm1.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(-.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) 1) |
(expm1.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(-.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) 1) |
(expm1.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(-.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) 1) |
(expm1.f64 (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (exp.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))))))) 1) |
(+.f64 (+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (exp.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))))))) -1) |
(+.f64 -1 (*.f64 (+.f64 (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)) 1) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(fma.f64 (+.f64 (+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) 1) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) -1) |
(-.f64 (+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.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 (exp.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)))))))) 1) |
(+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.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))))))) 1)) |
(+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (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))))) (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))) (expm1.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 -1 (*.f64 (+.f64 (*.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))))))))) 1) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(-.f64 (+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.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 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.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 (exp.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))))))))) 1) |
(+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (fma.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.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 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (pow.f64 eps 3) (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 (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)))) 2))) (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)))))))))))) (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) 1)) |
(+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 eps (*.f64 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))))) (expm1.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 -1 (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (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 (*.f64 1/6 (+.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 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 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.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))))))) 1)))) |
(-.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) 1) |
(expm1.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(-.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) 1) |
(expm1.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(-.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) 1) |
(expm1.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(-.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) 1) |
(expm1.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(-.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) 1) |
(expm1.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(-.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) 1) |
(expm1.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(-.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) 1) |
(expm1.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(-.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) 1) |
(expm1.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
Compiled 41232 to 18065 computations (56.2% saved)
37 alts after pruning (34 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1437 | 32 | 1469 |
| Fresh | 25 | 2 | 27 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 3 | 5 |
| Total | 1465 | 37 | 1502 |
| Status | Error | Program |
|---|---|---|
| 52.2b | (-.f64 (/.f64 (sin.f64 eps) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))) (tan.f64 x)) | |
| 22.2b | (+.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))) | |
| 29.9b | (pow.f64 (cbrt.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 3) | |
| 22.2b | (-.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)) | |
| 26.4b | (/.f64 (sin.f64 eps) (cos.f64 eps)) | |
| 50.8b | (-.f64 (/.f64 (sin.f64 eps) (fma.f64 eps (*.f64 eps -1/2) 1)) (tan.f64 x)) | |
| 49.9b | (-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x)) | |
| 59.5b | (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) | |
| 22.3b | (-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) | |
| 44.5b | (-.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (pow.f64 (cos.f64 eps) 2))) (tan.f64 x)) | |
| ▶ | 27.0b | (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3) |
| 47.4b | (pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3) | |
| 32.9b | (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 (neg.f64 (tan.f64 x))))) | |
| 50.6b | (-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x)) | |
| 29.6b | (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))))) | |
| 51.2b | (sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2)) | |
| 29.2b | (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)) | |
| ▶ | 22.2b | (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x)) |
| 22.3b | (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1) (sin.f64 x))) (*.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1) (cos.f64 x))) | |
| 22.2b | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 3))) (tan.f64 x)) | |
| 28.8b | (-.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x)) | |
| 29.3b | (+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) | |
| ▶ | 52.9b | (-.f64 eps (tan.f64 x)) |
| ✓ | 22.2b | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) |
| 29.3b | (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) | |
| ▶ | 23.3b | (log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)))) |
| 33.3b | (-.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 (expm1.f64 (tan.f64 x))) (+.f64 1 (expm1.f64 (tan.f64 eps))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) | |
| 45.0b | (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)))) | |
| 37.1b | (-.f64 (tan.f64 eps) (tan.f64 x)) | |
| 50.7b | (-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x)) | |
| 26.7b | (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)) | |
| 43.1b | (pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))) 2) | |
| ✓ | 36.5b | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 32.6b | (-.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 (expm1.f64 (tan.f64 x))) (exp.f64 (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) | |
| 22.9b | (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3) | |
| ✓ | 37.0b | (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) |
| ▶ | 22.2b | (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 1215 to 799 computations (34.2% 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)) | |
| ✓ | 3.5b | (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 56 to 19 computations (66.1% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 45.0ms | 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))) |
| 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))) |
| 1.0ms | 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× | 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 (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 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) 0) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.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 (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 (cbrt.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))) (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)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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)))) 2) (cbrt.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 (sqrt.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))) (sqrt.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 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) 3) (pow.f64 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| 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))) |
(+.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)))) |
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1 |
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(+.f64 1 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) x))) |
(+.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 (/.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 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 | |
|---|---|---|---|---|
| 2.0ms | eps | @ | -inf | (-.f64 eps (tan.f64 x)) |
| 1.0ms | eps | @ | inf | (-.f64 eps (tan.f64 x)) |
| 1.0ms | eps | @ | 0 | (-.f64 eps (tan.f64 x)) |
| 1.0ms | x | @ | inf | (-.f64 eps (tan.f64 x)) |
| 1.0ms | x | @ | 0 | (-.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 |
|---|---|---|
| 0.0b | (cos.f64 eps) | |
| 0.1b | (/.f64 (sin.f64 eps) (cos.f64 eps)) | |
| ✓ | 0.6b | (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
| ✓ | 0.7b | (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3) |
Compiled 27 to 9 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | eps | @ | inf | (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3) |
| 5.0ms | eps | @ | -inf | (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3) |
| 3.0ms | eps | @ | 0 | (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3) |
| 1.0ms | eps | @ | 0 | (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
| 1.0ms | eps | @ | inf | (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
| 1× | batch-egg-rewrite |
| 731× | pow1_binary64 |
| 686× | add-log-exp_binary64 |
| 686× | log1p-expm1-u_binary64 |
| 686× | expm1-log1p-u_binary64 |
| 669× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 8 |
| 1 | 173 | 8 |
| 2 | 1878 | 8 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3) |
(cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (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 (cbrt.f64 (tan.f64 eps)) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 eps))))) (#(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 (cbrt.f64 (tan.f64 eps))) 2) (*.f64 (cbrt.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 (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 (pow.f64 (tan.f64 eps) 1/6) (*.f64 (pow.f64 (tan.f64 eps) 1/6) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)))))) (#(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 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) 2) 3) (cbrt.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (tan.f64 eps) 1/6) 3) (pow.f64 (pow.f64 (tan.f64 eps) 1/6) 3))))) (#(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 (/.f64 1 (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 (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 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (/.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 *.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) 1) (cbrt.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (pow.f64 (tan.f64 eps) 1/6)) (pow.f64 (tan.f64 eps) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 eps) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 (tan.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (/.f64 (cos.f64 eps) (cbrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 (cos.f64 eps) (sqrt.f64 (sin.f64 eps))))))) (#(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 /.f64 -1 (neg.f64 (/.f64 1 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (neg.f64 (neg.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 eps) 1) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) (cbrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (sin.f64 eps))) (cbrt.f64 (cos.f64 eps)))))) (#(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 cbrt.f64 (pow.f64 (tan.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.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 tan.f64 eps))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (tan.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) 2) (cbrt.f64 (cbrt.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (/.f64 1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 eps)) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 eps)) (/.f64 1 (cbrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 eps) 1/6) (pow.f64 (tan.f64 eps) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) 1/3) (cbrt.f64 (cbrt.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (tan.f64 eps)) 1/3) (pow.f64 (sqrt.f64 (tan.f64 eps)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 1 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (cos.f64 eps)) (cbrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 (sin.f64 eps))) (cbrt.f64 (neg.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (sin.f64 eps))) (neg.f64 (cbrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 eps) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 eps) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (tan.f64 eps)))))))) |
| 1× | egg-herbie |
| 1290× | sqr-pow_binary64 |
| 666× | pow-sqr_binary64 |
| 625× | cube-prod_binary64 |
| 560× | fabs-mul_binary64 |
| 373× | unpow3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 168 |
| 1 | 25 | 144 |
| 2 | 37 | 144 |
| 3 | 50 | 144 |
| 4 | 77 | 144 |
| 5 | 170 | 144 |
| 6 | 543 | 144 |
| 7 | 1211 | 144 |
| 8 | 1303 | 144 |
| 9 | 1441 | 144 |
| 10 | 1604 | 144 |
| 11 | 1843 | 144 |
| 12 | 2170 | 144 |
| 13 | 2598 | 144 |
| 14 | 3105 | 144 |
| 15 | 3710 | 144 |
| 16 | 4439 | 144 |
| 17 | 4760 | 144 |
| 18 | 5046 | 144 |
| 19 | 5270 | 144 |
| 20 | 5450 | 144 |
| 21 | 5530 | 144 |
| 22 | 6473 | 144 |
| 23 | 7450 | 144 |
| 24 | 7916 | 144 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) |
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) |
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) |
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) |
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) |
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) |
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) |
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) |
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) |
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) |
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) |
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) |
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) |
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) |
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) |
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) |
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) |
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) |
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) |
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) |
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) |
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) |
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) |
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) |
(cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) |
(cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) |
(cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) |
(cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) |
(cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) |
(cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) |
(cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) |
(cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
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)) | |
| ✓ | 3.5b | (-.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 | 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 | @ | 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)) |
| 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)) |
| 1.0ms | 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)) |
| 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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#<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1) (+.f64 (tan.f64 x) (tan.f64 eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.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 log.f64 (+.f64 1 (expm1.f64 (/.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 cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.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 log1p.f64 (expm1.f64 (/.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 exp.f64 (log.f64 (/.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 exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (tan.f64 x) (/.f64 1 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (*.f64 (tan.f64 eps) (/.f64 1 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (tan.f64 eps) (/.f64 1 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (*.f64 (tan.f64 x) (/.f64 1 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x) (*.f64 (/.f64 1 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 eps)))))) (#(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))) |
(+.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 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) (*.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) (*.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)))) |
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(/.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 (*.f64 x x) (cos.f64 eps)) (+.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 (sin.f64 x) (cos.f64 x)) |
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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 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) |
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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 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)) | |
| ✓ | 0.2b | (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))) |
| ✓ | 1.0b | (log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)))) |
| ✓ | 3.5b | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) |
Compiled 88 to 27 computations (69.3% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | eps | @ | 0 | (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))) |
| 2.0ms | eps | @ | -inf | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) |
| 2.0ms | x | @ | inf | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) |
| 2.0ms | eps | @ | inf | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) |
| 2.0ms | x | @ | -inf | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) |
| 1× | batch-egg-rewrite |
| 585× | log-prod_binary64 |
| 383× | fma-def_binary64 |
| 325× | pow2_binary64 |
| 223× | pow1/3_binary64 |
| 222× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 80 |
| 1 | 266 | 74 |
| 2 | 3871 | 74 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) |
(log1p.f64 (expm1.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 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 896× | times-frac_binary64 |
| 591× | distribute-rgt-in_binary64 |
| 569× | distribute-lft-in_binary64 |
| 438× | associate-/l*_binary64 |
| 171× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 187 | 6233 |
| 1 | 674 | 5936 |
| 2 | 2499 | 5638 |
| 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))))))))) |
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(-.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 (*.f64 -1 (+.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))))) (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (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 (+.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))) (*.f64 -1 (+.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 (*.f64 -1 (+.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))))) (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 x 2)))))) 1) |
(-.f64 (exp.f64 (-.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)))) 1) |
(-.f64 (exp.f64 (-.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)))) 1) |
(-.f64 (exp.f64 (-.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)))) 1) |
(-.f64 (exp.f64 (-.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)))) 1) |
(-.f64 (exp.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)))) 1) |
(-.f64 (exp.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)))) 1) |
(-.f64 (exp.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)))) 1) |
(-.f64 (exp.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)))) 1) |
(*.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 (pow.f64 eps 2) (+.f64 (*.f64 -1 (+.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 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (+.f64 1/3 (*.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 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (+.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 eps 3)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (+.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 1/2 (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 4) (+.f64 (*.f64 -1/2 (*.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 (*.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 (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 (*.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))))) (*.f64 -1 (+.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 (*.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 1/3 (*.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 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (+.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 eps 3)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (+.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 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))))))) |
(-.f64 (exp.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)))) 1) |
(-.f64 (exp.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)))) 1) |
(-.f64 (exp.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)))) 1) |
(-.f64 (exp.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)))) 1) |
(-.f64 (exp.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)))) 1) |
(-.f64 (exp.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)))) 1) |
(-.f64 (exp.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)))) 1) |
(-.f64 (exp.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)))) 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 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)) |
(+.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 x x) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.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)) (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 x x) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.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)))))) |
(fma.f64 (neg.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 (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 (/.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)) (*.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 (/.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))) |
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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 (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 (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 (cos.f64 eps) 2))) -1) |
(+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (sin.f64 eps) 2) x)) (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x) (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 (+.f64 (*.f64 -1 (+.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))))) (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 x 2))))) 1) |
(+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 (cos.f64 eps) 2)) (*.f64 (fma.f64 -1 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/2)) (*.f64 (*.f64 x x) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) 1)) |
(+.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/2 (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))))) (*.f64 (*.f64 x x) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (sin.f64 eps) 2) x))) (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 -1 (+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (+.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/2 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3))) (*.f64 x x)) 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 (+.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))) (*.f64 -1 (+.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 (*.f64 -1 (+.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))))) (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 x 2)))))) 1) |
(+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 (cos.f64 eps) 2)) (fma.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.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 (/.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))) (neg.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))))))))) (*.f64 (fma.f64 -1 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/2)) (*.f64 (*.f64 x x) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) 1)) |
(+.f64 (+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (sin.f64 eps) 2) x)) (fma.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 x 3) (-.f64 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 6) (pow.f64 (cos.f64 eps) 6)) (/.f64 (*.f64 (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.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 (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 (*.f64 x x) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/2 (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))))))))) (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/2 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3))) (*.f64 x x)) (*.f64 (pow.f64 x 3) (+.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)) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 6) (pow.f64 (cos.f64 eps) 6)) (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))))))) (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(-.f64 (exp.f64 (-.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)))) 1) |
(expm1.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))))) |
(expm1.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))))) |
(expm1.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))))) |
(-.f64 (exp.f64 (-.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)))) 1) |
(expm1.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))))) |
(expm1.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))))) |
(expm1.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))))) |
(-.f64 (exp.f64 (-.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)))) 1) |
(expm1.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))))) |
(expm1.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))))) |
(expm1.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))))) |
(-.f64 (exp.f64 (-.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)))) 1) |
(expm1.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))))) |
(expm1.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))))) |
(expm1.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))))) |
(-.f64 (exp.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)))) 1) |
(expm1.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))))) |
(expm1.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))))) |
(expm1.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))))) |
(-.f64 (exp.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)))) 1) |
(expm1.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))))) |
(expm1.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))))) |
(expm1.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))))) |
(-.f64 (exp.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)))) 1) |
(expm1.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))))) |
(expm1.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))))) |
(expm1.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))))) |
(-.f64 (exp.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)))) 1) |
(expm1.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))))) |
(expm1.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))))) |
(expm1.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))))) |
(*.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 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 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (+.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 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))))) |
(fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (*.f64 eps eps) (fma.f64 -1 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.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 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 1 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))))) |
(*.f64 eps (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (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)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3))) eps))) |
(+.f64 (*.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 1/3 (*.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 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (+.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 eps 3)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (+.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 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)))))) |
(fma.f64 (-.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 1/3 (*.f64 (neg.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (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 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (pow.f64 eps 3) (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (*.f64 eps eps) (fma.f64 -1 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.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 (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) (fma.f64 (*.f64 1 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.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))) 1/3)) (-.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))) (/.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 1 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))))))) |
(fma.f64 (pow.f64 eps 3) (fma.f64 1/6 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) (-.f64 (fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (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))) 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 eps (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (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)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3))) eps)))) |
(+.f64 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1/2 (*.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 (*.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 (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 (*.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))))) (*.f64 -1 (+.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 (*.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 1/3 (*.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 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (+.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 eps 3)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (+.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 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))))))) |
(fma.f64 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (/.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)) (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 (pow.f64 (*.f64 -1 (+.f64 (/.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 (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 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (neg.f64 (fma.f64 -1 (/.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))) (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (/.f64 (*.f64 (sin.f64 x) (fma.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))))))))))) (fma.f64 (-.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 1/3 (*.f64 (neg.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (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 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (pow.f64 eps 3) (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (*.f64 eps eps) (fma.f64 -1 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.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 (pow.f64 eps 4) (fma.f64 (*.f64 1/2 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (fma.f64 1/24 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) (-.f64 (fma.f64 1/2 (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) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 1/3 (-.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))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (-.f64 (fma.f64 -1/3 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 (fma.f64 (sin.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cos.f64 x) 4)) (/.f64 (*.f64 -1/3 (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 2))) (cos.f64 x))) (*.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/3) (cos.f64 x)) (sin.f64 x)))))) (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) (fma.f64 (*.f64 1 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.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))) 1/3)) (-.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))) (/.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 1 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))))))) |
(fma.f64 (pow.f64 eps 4) (fma.f64 (*.f64 1/2 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (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 (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 (+.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)))) (-.f64 (+.f64 (*.f64 (/.f64 1/3 (cos.f64 x)) (sin.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (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)))))))) (fma.f64 (pow.f64 eps 3) (fma.f64 1/6 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) (-.f64 (fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (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))) 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 eps (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (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)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3))) eps))))) |
(-.f64 (exp.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)))) 1) |
(expm1.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))))) |
(expm1.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))))) |
(expm1.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))))) |
(-.f64 (exp.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)))) 1) |
(expm1.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))))) |
(expm1.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))))) |
(expm1.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))))) |
(-.f64 (exp.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)))) 1) |
(expm1.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))))) |
(expm1.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))))) |
(expm1.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))))) |
(-.f64 (exp.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)))) 1) |
(expm1.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))))) |
(expm1.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))))) |
(expm1.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))))) |
(-.f64 (exp.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)))) 1) |
(expm1.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))))) |
(expm1.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))))) |
(expm1.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))))) |
(-.f64 (exp.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)))) 1) |
(expm1.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))))) |
(expm1.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))))) |
(expm1.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))))) |
(-.f64 (exp.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)))) 1) |
(expm1.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))))) |
(expm1.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))))) |
(expm1.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))))) |
(-.f64 (exp.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)))) 1) |
(expm1.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))))) |
(expm1.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))))) |
(expm1.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))))) |
Compiled 26017 to 10774 computations (58.6% saved)
66 alts after pruning (59 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 935 | 39 | 974 |
| Fresh | 9 | 20 | 29 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 6 | 7 |
| Total | 945 | 66 | 1011 |
| Status | Error | Program |
|---|---|---|
| 45.7b | (pow.f64 (cbrt.f64 (log.f64 (exp.f64 (tan.f64 eps)))) 3) | |
| 52.2b | (-.f64 (/.f64 (sin.f64 eps) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))) (tan.f64 x)) | |
| 49.0b | (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) | |
| 29.9b | (pow.f64 (cbrt.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 3) | |
| 53.8b | (+.f64 eps (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3)))) | |
| 22.2b | (-.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)) | |
| 50.8b | (-.f64 (/.f64 (sin.f64 eps) (fma.f64 eps (*.f64 eps -1/2) 1)) (tan.f64 x)) | |
| 44.2b | (pow.f64 (log.f64 (exp.f64 (cbrt.f64 (tan.f64 eps)))) 3) | |
| 45.9b | (log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)) | |
| ▶ | 53.2b | (-.f64 eps x) |
| 47.4b | (pow.f64 (pow.f64 (pow.f64 (tan.f64 eps) 1/6) 2) 3) | |
| 22.9b | (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3) | |
| 42.2b | eps | |
| 49.9b | (-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x)) | |
| 27.8b | (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) 3) 3) | |
| 59.5b | (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) | |
| 22.3b | (-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) | |
| 44.5b | (-.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (pow.f64 (cos.f64 eps) 2))) (tan.f64 x)) | |
| ▶ | 35.3b | (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) |
| ✓ | 27.0b | (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3) |
| 47.3b | (pow.f64 (cbrt.f64 (exp.f64 (log.f64 (tan.f64 eps)))) 3) | |
| 45.3b | (-.f64 (+.f64 1 (tan.f64 eps)) 1) | |
| ▶ | 22.2b | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x)) |
| 47.3b | (pow.f64 (pow.f64 (tan.f64 eps) 1/3) 3) | |
| 50.6b | (-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x)) | |
| 51.2b | (sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2)) | |
| 29.2b | (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)) | |
| 44.2b | (pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (tan.f64 eps))) 1) 3) | |
| ✓ | 22.2b | (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x)) |
| 26.4b | (/.f64 (sin.f64 eps) (cos.f64 eps)) | |
| 22.3b | (fma.f64 (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))) | |
| 22.2b | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 3))) (tan.f64 x)) | |
| 40.4b | (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) 1)) 3) | |
| 27.1b | (pow.f64 (/.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (cos.f64 eps))) 3) | |
| 26.4b | (tan.f64 eps) | |
| 26.5b | (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps)) | |
| 26.7b | (cbrt.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)) | |
| 43.1b | (pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))) 2) | |
| ✓ | 37.0b | (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) |
| 47.2b | (exp.f64 (log.f64 (tan.f64 eps))) | |
| 27.2b | (pow.f64 (/.f64 1 (/.f64 (cbrt.f64 (cos.f64 eps)) (cbrt.f64 (sin.f64 eps)))) 3) | |
| 28.8b | (-.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x)) | |
| 27.1b | (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (tan.f64 eps)))) 3) | |
| 42.6b | (pow.f64 (cbrt.f64 eps) 3) | |
| ▶ | 27.0b | (log1p.f64 (expm1.f64 (tan.f64 eps))) |
| 29.3b | (+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) | |
| 29.7b | (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)))) | |
| 31.0b | (expm1.f64 (log1p.f64 (tan.f64 eps))) | |
| ▶ | 29.2b | (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps) |
| ✓ | 22.2b | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) |
| ✓ | 23.3b | (log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)))) |
| 27.1b | (pow.f64 (cbrt.f64 (tan.f64 eps)) 3) | |
| 26.4b | (/.f64 1 (/.f64 1 (tan.f64 eps))) | |
| 29.3b | (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) | |
| 33.3b | (-.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 (expm1.f64 (tan.f64 x))) (+.f64 1 (expm1.f64 (tan.f64 eps))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) | |
| 45.0b | (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)))) | |
| 37.5b | (cbrt.f64 (pow.f64 (tan.f64 eps) 3)) | |
| ✓ | 22.2b | (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))) |
| 37.1b | (-.f64 (tan.f64 eps) (tan.f64 x)) | |
| 50.7b | (-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x)) | |
| 27.1b | (pow.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (tan.f64 eps)))) 3) | |
| 45.5b | (log.f64 (exp.f64 (tan.f64 eps))) | |
| ✓ | 36.5b | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 22.3b | (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1) (sin.f64 x))) (*.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1) (cos.f64 x))) | |
| 32.6b | (-.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 (expm1.f64 (tan.f64 x))) (exp.f64 (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) | |
| 27.1b | (pow.f64 (*.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (/.f64 1 (cos.f64 eps)))) 3) |
Compiled 1642 to 1175 computations (28.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1) |
| ✓ | 0.1b | (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) |
| 0.1b | (+.f64 (tan.f64 x) (tan.f64 eps)) | |
| ✓ | 3.5b | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x)) |
Compiled 53 to 16 computations (69.8% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) |
| 3.0ms | eps | @ | inf | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x)) |
| 3.0ms | x | @ | inf | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x)) |
| 2.0ms | eps | @ | -inf | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x)) |
| 2.0ms | x | @ | -inf | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x)) |
| 1× | batch-egg-rewrite |
| 554× | log-prod_binary64 |
| 368× | fma-def_binary64 |
| 310× | pow2_binary64 |
| 239× | fma-neg_binary64 |
| 212× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 58 |
| 1 | 245 | 52 |
| 2 | 3661 | 52 |
| 1× | node limit |
| Inputs |
|---|
(-.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 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) |
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 665× | fma-def_binary64 |
| 526× | associate-/l*_binary64 |
| 472× | associate-/r*_binary64 |
| 309× | associate-*l/_binary64 |
| 277× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 182 | 3566 |
| 1 | 607 | 3419 |
| 2 | 2053 | 3273 |
| 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 -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 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 -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 -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 -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 -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 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)) |
(/.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 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (*.f64 -1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.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 -1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps)))))) |
(+.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 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.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 -2/15 (/.f64 (*.f64 (pow.f64 eps 5) (sin.f64 x)) (cos.f64 x)))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 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))) |
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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 eps) (/.f64 (cos.f64 eps) (sin.f64 x))) (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 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) |
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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 eps) (/.f64 (cos.f64 eps) (sin.f64 x))) (cos.f64 x)))) |
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(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.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 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 x))) (cos.f64 x)))) |
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(/.f64 (sin.f64 x) (cos.f64 x)) |
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1 |
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(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))) |
1 |
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(-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (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 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) |
(fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (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 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) |
(fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (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 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) |
(fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (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 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) |
(fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (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 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) |
(fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (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 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) |
(fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (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 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) |
(fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 x))) (cos.f64 x))) |
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))) |
Compiled 7 to 3 computations (57.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (expm1.f64 (tan.f64 eps)) |
| ✓ | 0.9b | (log1p.f64 (expm1.f64 (tan.f64 eps))) |
Compiled 12 to 5 computations (58.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | 0 | (expm1.f64 (tan.f64 eps)) |
| 1.0ms | eps | @ | 0 | (log1p.f64 (expm1.f64 (tan.f64 eps))) |
| 1.0ms | eps | @ | inf | (expm1.f64 (tan.f64 eps)) |
| 1.0ms | eps | @ | -inf | (expm1.f64 (tan.f64 eps)) |
| 1.0ms | eps | @ | inf | (log1p.f64 (expm1.f64 (tan.f64 eps))) |
| 1× | batch-egg-rewrite |
| 372× | pow1_binary64 |
| 359× | add-sqr-sqrt_binary64 |
| 353× | *-un-lft-identity_binary64 |
| 343× | expm1-log1p-u_binary64 |
| 342× | add-log-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 8 |
| 1 | 83 | 8 |
| 2 | 929 | 8 |
| 1× | node limit |
| Inputs |
|---|
(log1p.f64 (expm1.f64 (tan.f64 eps))) |
(expm1.f64 (tan.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 (log1p.f64 (pow.f64 (expm1.f64 (tan.f64 eps)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (tan.f64 eps)) 2) (expm1.f64 (tan.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (tan.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (tan.f64 eps)) 2))) (log.f64 (-.f64 1 (expm1.f64 (tan.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 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) 5/2)) (cbrt.f64 (sqrt.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 eps) (cbrt.f64 (tan.f64 eps))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 eps) (cbrt.f64 (tan.f64 eps))) 2) 1/3) (cbrt.f64 (cbrt.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (tan.f64 eps) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (tan.f64 eps))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (tan.f64 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 eps) (cos.f64 eps))))) (#(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 /.f64 (cbrt.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) (sin.f64 eps))) (cbrt.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 (pow.f64 (tan.f64 eps) 3) 1/3)))) (#(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 (E.f64) (log.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 eps)))) (sqrt.f64 (log.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (tan.f64 eps)) 2))) (cbrt.f64 (log.f64 (tan.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 cbrt.f64 (pow.f64 (tan.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 (*.f64 3 (log.f64 (tan.f64 eps))) 1/3))))) (#(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 tan.f64 eps))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (tan.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (expm1.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (tan.f64 eps))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (tan.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (tan.f64 eps)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (tan.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (tan.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (tan.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (expm1.f64 (tan.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (tan.f64 eps))) 2) (cbrt.f64 (expm1.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (tan.f64 eps))) (sqrt.f64 (expm1.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (tan.f64 eps)) (cbrt.f64 (expm1.f64 (tan.f64 eps)))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (expm1.f64 (tan.f64 eps)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (expm1.f64 (tan.f64 eps)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (expm1.f64 (tan.f64 eps)) 5/2)) (cbrt.f64 (sqrt.f64 (expm1.f64 (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (expm1.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (tan.f64 eps)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (tan.f64 eps)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (tan.f64 eps)) (cbrt.f64 (expm1.f64 (tan.f64 eps)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (expm1.f64 (tan.f64 eps)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (expm1.f64 (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (tan.f64 eps)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (tan.f64 eps)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (exp.f64 (*.f64 (tan.f64 eps) 3)) 1) (+.f64 (pow.f64 (exp.f64 (tan.f64 eps)) 2) (+.f64 1 (*.f64 (exp.f64 (tan.f64 eps)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (tan.f64 eps)) 2) 1) (+.f64 (exp.f64 (tan.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (tan.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (tan.f64 eps)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (tan.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (tan.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (tan.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (expm1.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (tan.f64 eps)))) 2)) (cbrt.f64 (log.f64 (expm1.f64 (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (tan.f64 eps))))) (sqrt.f64 (log.f64 (expm1.f64 (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (tan.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (tan.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (tan.f64 eps)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (tan.f64 eps)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (tan.f64 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 (tan.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))) 2) (cbrt.f64 (exp.f64 (tan.f64 eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 (tan.f64 eps))) (sqrt.f64 (exp.f64 (tan.f64 eps))) -1))))) |
| 1× | egg-herbie |
| 730× | sqr-pow_binary64 |
| 522× | fma-def_binary64 |
| 489× | distribute-lft-out_binary64 |
| 469× | *-commutative_binary64 |
| 413× | distribute-rgt-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 247 |
| 1 | 102 | 236 |
| 2 | 240 | 234 |
| 3 | 710 | 230 |
| 4 | 2037 | 230 |
| 5 | 3366 | 230 |
| 6 | 3912 | 230 |
| 7 | 4287 | 230 |
| 8 | 4783 | 230 |
| 9 | 5607 | 230 |
| 10 | 6333 | 230 |
| 11 | 7020 | 230 |
| 12 | 7594 | 230 |
| 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)) |
eps |
(+.f64 eps (*.f64 1/2 (pow.f64 eps 2))) |
(+.f64 eps (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 1/2 (pow.f64 eps 3)))) |
(+.f64 eps (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (+.f64 (*.f64 3/8 (pow.f64 eps 4)) (*.f64 1/2 (pow.f64 eps 3))))) |
(-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
| 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)))) |
(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 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 (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 2/15 (pow.f64 eps 5) (fma.f64 1/3 (pow.f64 eps 3) (fma.f64 17/315 (pow.f64 eps 7) 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)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
eps |
(+.f64 eps (*.f64 1/2 (pow.f64 eps 2))) |
(+.f64 eps (*.f64 1/2 (*.f64 eps eps))) |
(fma.f64 1/2 (*.f64 eps eps) eps) |
(fma.f64 eps (*.f64 eps 1/2) eps) |
(*.f64 eps (fma.f64 eps 1/2 1)) |
(+.f64 eps (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 1/2 (pow.f64 eps 3)))) |
(+.f64 eps (*.f64 1/2 (+.f64 (*.f64 eps eps) (pow.f64 eps 3)))) |
(fma.f64 1/2 (fma.f64 eps eps (pow.f64 eps 3)) eps) |
(fma.f64 (*.f64 eps 1/2) (fma.f64 eps eps eps) eps) |
(+.f64 eps (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (+.f64 (*.f64 3/8 (pow.f64 eps 4)) (*.f64 1/2 (pow.f64 eps 3))))) |
(+.f64 eps (fma.f64 1/2 (*.f64 eps eps) (fma.f64 3/8 (pow.f64 eps 4) (*.f64 (pow.f64 eps 3) 1/2)))) |
(+.f64 (fma.f64 1/2 (fma.f64 eps eps (pow.f64 eps 3)) eps) (*.f64 3/8 (pow.f64 eps 4))) |
(fma.f64 3/8 (pow.f64 eps 4) (fma.f64 (*.f64 eps 1/2) (fma.f64 eps eps eps) eps)) |
(-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (+.f64 (tan.f64 x) (tan.f64 eps)) | |
| ✓ | 3.7b | (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) |
Compiled 27 to 9 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) |
| 1.0ms | x | @ | -inf | (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) |
| 1.0ms | eps | @ | -inf | (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) |
| 1.0ms | x | @ | inf | (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) |
| 1.0ms | eps | @ | inf | (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) |
| 1× | batch-egg-rewrite |
| 917× | pow1_binary64 |
| 847× | add-log-exp_binary64 |
| 847× | log1p-expm1-u_binary64 |
| 847× | expm1-log1p-u_binary64 |
| 830× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 16 |
| 1 | 189 | 13 |
| 2 | 2510 | 13 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 0) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) 2) (cbrt.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 2) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))))))))) |
| 1× | egg-herbie |
| 675× | sqr-pow_binary64 |
| 674× | cube-prod_binary64 |
| 624× | unswap-sqr_binary64 |
| 579× | fabs-mul_binary64 |
| 490× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 212 |
| 1 | 55 | 210 |
| 2 | 124 | 208 |
| 3 | 322 | 206 |
| 4 | 612 | 206 |
| 5 | 1358 | 206 |
| 6 | 2026 | 206 |
| 7 | 2993 | 206 |
| 8 | 3147 | 206 |
| 9 | 3393 | 206 |
| 10 | 3708 | 206 |
| 11 | 4189 | 206 |
| 12 | 4868 | 206 |
| 13 | 5762 | 206 |
| 14 | 6408 | 206 |
| 15 | 6917 | 206 |
| 16 | 7322 | 206 |
| 17 | 7701 | 206 |
| 18 | 7917 | 206 |
| 1× | node limit |
| Inputs |
|---|
(/.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)) |
(/.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)) |
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)) |
| Outputs |
|---|
(/.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)) |
(/.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)) |
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)))) |
(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 eps (fma.f64 1/3 (pow.f64 eps 3) (fma.f64 2/15 (pow.f64 eps 5) (*.f64 17/315 (pow.f64 eps 7))))) |
(fma.f64 17/315 (pow.f64 eps 7) (fma.f64 1/3 (pow.f64 eps 3) (fma.f64 2/15 (pow.f64 eps 5) eps))) |
(fma.f64 1/3 (pow.f64 eps 3) (fma.f64 17/315 (pow.f64 eps 7) (fma.f64 2/15 (pow.f64 eps 5) eps))) |
(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 (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)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps) |
| ✓ | 0.2b | (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
| ✓ | 0.2b | (pow.f64 (cos.f64 x) 2) |
| ✓ | 0.2b | (pow.f64 (sin.f64 x) 2) |
Compiled 38 to 20 computations (47.4% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | eps | @ | 0 | (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps) |
| 1.0ms | eps | @ | -inf | (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps) |
| 1.0ms | x | @ | inf | (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
| 1.0ms | x | @ | -inf | (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
| 1.0ms | x | @ | inf | (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps) |
| 1× | batch-egg-rewrite |
| 964× | pow1_binary64 |
| 887× | add-log-exp_binary64 |
| 887× | log1p-expm1-u_binary64 |
| 887× | expm1-log1p-u_binary64 |
| 102× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 44 |
| 1 | 209 | 38 |
| 2 | 2469 | 38 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (cos.f64 x) 2) |
(/.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) |
| Outputs |
|---|
((#(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 (*.f64 2 (log.f64 (sin.f64 x)))))))) |
((#(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 (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 (cbrt.f64 (pow.f64 (cos.f64 x) 4)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))) (#(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 (/.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)) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (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 *.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))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 eps (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) eps)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) 1) eps)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)) (pow.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)) 2) (cbrt.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)) (sqrt.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) 3) (pow.f64 eps 3)) (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)) (*.f64 eps eps)) (-.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))))))) |
| 1× | egg-herbie |
| 506× | fma-neg_binary64 |
| 405× | cancel-sign-sub-inv_binary64 |
| 359× | distribute-rgt-neg-in_binary64 |
| 342× | fma-def_binary64 |
| 311× | times-frac_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 626 |
| 1 | 192 | 620 |
| 2 | 498 | 572 |
| 3 | 1763 | 569 |
| 4 | 4633 | 565 |
| 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)))) |
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 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 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1))) |
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1))) |
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1))) |
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1))) |
eps |
(+.f64 (*.f64 eps (pow.f64 x 2)) eps) |
(+.f64 (*.f64 eps (pow.f64 x 2)) (+.f64 eps (*.f64 2/3 (*.f64 eps (pow.f64 x 4))))) |
(+.f64 (*.f64 eps (pow.f64 x 2)) (+.f64 eps (+.f64 (*.f64 2/3 (*.f64 eps (pow.f64 x 4))) (*.f64 17/45 (*.f64 eps (pow.f64 x 6)))))) |
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps) |
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps) |
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps) |
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps) |
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps) |
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps) |
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps) |
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps) |
| 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)) |
(fma.f64 x x (*.f64 -1/3 (pow.f64 x 4))) |
(+.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 x x (fma.f64 -1/3 (pow.f64 x 4) (*.f64 2/45 (pow.f64 x 6)))) |
(+.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 x x (fma.f64 2/45 (pow.f64 x 6) (*.f64 -1/315 (pow.f64 x 8))))) |
(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)))) |
(fma.f64 -1/315 (pow.f64 x 8) (fma.f64 -1/3 (pow.f64 x 4) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x)))) |
1 |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(neg.f64 (fma.f64 x x -1)) |
(+.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 1 (fma.f64 (pow.f64 x 4) 1/3 (*.f64 x (neg.f64 x)))) |
(-.f64 (fma.f64 (pow.f64 x 4) 1/3 1) (*.f64 x x)) |
(fma.f64 (pow.f64 x 4) 1/3 (neg.f64 (fma.f64 x x -1))) |
(-.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 (fma.f64 (pow.f64 x 4) 1/3 (*.f64 (pow.f64 x 6) -2/45)) (fma.f64 x x -1)) |
(-.f64 1 (fma.f64 -1/3 (pow.f64 x 4) (fma.f64 2/45 (pow.f64 x 6) (*.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)) |
(fma.f64 x x (*.f64 (pow.f64 x 4) 2/3)) |
(+.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 (pow.f64 x 6) 17/45 (*.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 6) 17/45 (*.f64 (pow.f64 x 4) 2/3))) |
(+.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 (pow.f64 x 6) 17/45 (*.f64 x x)))) |
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (pow.f64 x 6) 17/45 (fma.f64 x x (*.f64 (pow.f64 x 8) 62/315)))) |
(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)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 eps (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))) |
(fma.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2) eps) |
(fma.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)) eps) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 eps (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))) |
(fma.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2) eps) |
(fma.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)) eps) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 eps (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))) |
(fma.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2) eps) |
(fma.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)) eps) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 eps (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))) |
(fma.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2) eps) |
(fma.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)) eps) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 eps (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))) |
(fma.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2) eps) |
(fma.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)) eps) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 eps (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))) |
(fma.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2) eps) |
(fma.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)) eps) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 eps (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))) |
(fma.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2) eps) |
(fma.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)) eps) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 eps (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))) |
(fma.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2) eps) |
(fma.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)) eps) |
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 eps (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))) |
(fma.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2) eps) |
(fma.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)) eps) |
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 eps (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))) |
(fma.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2) eps) |
(fma.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)) eps) |
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 eps (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))) |
(fma.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2) eps) |
(fma.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)) eps) |
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 eps (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))) |
(fma.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2) eps) |
(fma.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)) eps) |
eps |
(+.f64 (*.f64 eps (pow.f64 x 2)) eps) |
(fma.f64 eps (*.f64 x x) eps) |
(fma.f64 (*.f64 x x) eps eps) |
(*.f64 eps (fma.f64 x x 1)) |
(+.f64 (*.f64 eps (pow.f64 x 2)) (+.f64 eps (*.f64 2/3 (*.f64 eps (pow.f64 x 4))))) |
(+.f64 (fma.f64 eps (*.f64 x x) eps) (*.f64 2/3 (*.f64 (pow.f64 x 4) eps))) |
(fma.f64 (*.f64 x x) eps (fma.f64 (*.f64 2/3 eps) (pow.f64 x 4) eps)) |
(+.f64 eps (*.f64 eps (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)))) |
(+.f64 eps (*.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) 2/3)) eps)) |
(fma.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) 2/3)) eps eps) |
(+.f64 (*.f64 eps (pow.f64 x 2)) (+.f64 eps (+.f64 (*.f64 2/3 (*.f64 eps (pow.f64 x 4))) (*.f64 17/45 (*.f64 eps (pow.f64 x 6)))))) |
(+.f64 (fma.f64 eps (*.f64 x x) eps) (fma.f64 2/3 (*.f64 (pow.f64 x 4) eps) (*.f64 17/45 (*.f64 (pow.f64 x 6) eps)))) |
(+.f64 (fma.f64 (*.f64 x x) eps eps) (fma.f64 2/3 (*.f64 (pow.f64 x 4) eps) (*.f64 (pow.f64 x 6) (*.f64 17/45 eps)))) |
(fma.f64 (fma.f64 x x 1) eps (*.f64 eps (fma.f64 (pow.f64 x 4) 2/3 (*.f64 (pow.f64 x 6) 17/45)))) |
(+.f64 eps (*.f64 eps (fma.f64 (pow.f64 x 4) 2/3 (fma.f64 x x (*.f64 (pow.f64 x 6) 17/45))))) |
(fma.f64 eps (fma.f64 x x (fma.f64 (pow.f64 x 6) 17/45 (*.f64 (pow.f64 x 4) 2/3))) eps) |
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 eps (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))) |
(fma.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2) eps) |
(fma.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)) eps) |
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 eps (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))) |
(fma.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2) eps) |
(fma.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)) eps) |
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 eps (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))) |
(fma.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2) eps) |
(fma.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)) eps) |
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 eps (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))) |
(fma.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2) eps) |
(fma.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)) eps) |
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 eps (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))) |
(fma.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2) eps) |
(fma.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)) eps) |
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 eps (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))) |
(fma.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2) eps) |
(fma.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)) eps) |
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 eps (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))) |
(fma.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2) eps) |
(fma.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)) eps) |
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 eps (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))) |
(fma.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2) eps) |
(fma.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)) eps) |
Compiled 12807 to 5317 computations (58.5% saved)
86 alts after pruning (77 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 576 | 36 | 612 |
| Fresh | 13 | 41 | 54 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 9 | 11 |
| Total | 592 | 86 | 678 |
| Status | Error | Program |
|---|---|---|
| 29.9b | (pow.f64 (cbrt.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 3) | |
| 46.4b | (pow.f64 (sqrt.f64 (tan.f64 eps)) 2) | |
| 45.8b | (+.f64 (*.f64 eps (pow.f64 x 2)) (+.f64 eps (*.f64 2/3 (*.f64 eps (pow.f64 x 4))))) | |
| 22.2b | (-.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)) | |
| 45.7b | (pow.f64 (cbrt.f64 (log.f64 (exp.f64 (tan.f64 eps)))) 3) | |
| 52.2b | (-.f64 (/.f64 (sin.f64 eps) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))) (tan.f64 x)) | |
| 42.0b | (cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 3)) | |
| 53.8b | (+.f64 eps (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3)))) | |
| 50.8b | (-.f64 (/.f64 (sin.f64 eps) (fma.f64 eps (*.f64 eps -1/2) 1)) (tan.f64 x)) | |
| 44.2b | (pow.f64 (log.f64 (exp.f64 (cbrt.f64 (tan.f64 eps)))) 3) | |
| 47.0b | (log.f64 (exp.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))))) | |
| 38.2b | (+.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x)) | |
| 29.2b | (+.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) eps) | |
| ✓ | 53.2b | (-.f64 eps x) |
| 45.6b | (*.f64 eps (fma.f64 x x 1)) | |
| 51.2b | (sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 2)) | |
| 51.7b | (pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3) | |
| 41.5b | (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1) eps) | |
| 47.4b | (pow.f64 (pow.f64 (pow.f64 (tan.f64 eps) 1/6) 2) 3) | |
| 22.9b | (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3) | |
| 29.2b | (fma.f64 eps (*.f64 (/.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) eps) | |
| 42.2b | eps | |
| 49.9b | (-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x)) | |
| 27.8b | (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) 3) 3) | |
| 38.7b | (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) 3) | |
| 59.5b | (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) | |
| 22.3b | (-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) | |
| 44.5b | (-.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (pow.f64 (cos.f64 eps) 2))) (tan.f64 x)) | |
| 45.3b | (-.f64 (+.f64 1 (tan.f64 eps)) 1) | |
| 54.0b | (pow.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 3) 1/3) | |
| 47.4b | (exp.f64 (*.f64 (*.f64 3 (log.f64 (tan.f64 eps))) 1/3)) | |
| 29.2b | (fma.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)) eps) | |
| ✓ | 22.2b | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x)) |
| 47.3b | (pow.f64 (pow.f64 (tan.f64 eps) 1/3) 3) | |
| 47.2b | (exp.f64 (log.f64 (tan.f64 eps))) | |
| 29.4b | (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 x) 2))) 1)) eps) | |
| 51.2b | (sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2)) | |
| 50.6b | (-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x)) | |
| 31.0b | (expm1.f64 (log1p.f64 (tan.f64 eps))) | |
| 26.5b | (/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) | |
| 29.2b | (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)) | |
| 44.2b | (pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (tan.f64 eps))) 1) 3) | |
| ✓ | 22.2b | (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x)) |
| 29.2b | (fma.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2)) eps) | |
| 22.3b | (fma.f64 (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))) | |
| 37.5b | (cbrt.f64 (pow.f64 (tan.f64 eps) 3)) | |
| 26.7b | (cbrt.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)) | |
| 22.2b | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 3))) (tan.f64 x)) | |
| 40.4b | (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) 1)) 3) | |
| 27.1b | (pow.f64 (/.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (cos.f64 eps))) 3) | |
| 26.4b | (tan.f64 eps) | |
| 26.4b | (/.f64 (sin.f64 eps) (cos.f64 eps)) | |
| 43.1b | (pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))) 2) | |
| 29.3b | (fma.f64 eps (expm1.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) eps) | |
| 27.6b | (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (tan.f64 eps))) 3)) | |
| 27.2b | (pow.f64 (/.f64 1 (/.f64 (cbrt.f64 (cos.f64 eps)) (cbrt.f64 (sin.f64 eps)))) 3) | |
| ✓ | 37.0b | (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) |
| 45.5b | (log.f64 (exp.f64 (tan.f64 eps))) | |
| 29.2b | (fma.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)) eps) | |
| 28.8b | (-.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x)) | |
| 27.1b | (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (tan.f64 eps)))) 3) | |
| 42.6b | (pow.f64 (cbrt.f64 eps) 3) | |
| ✓ | 27.0b | (log1p.f64 (expm1.f64 (tan.f64 eps))) |
| 49.0b | (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) | |
| 29.7b | (fma.f64 (*.f64 eps eps) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) | |
| 29.2b | (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) | |
| ✓ | 22.2b | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) |
| 29.3b | (+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps) | |
| ✓ | 23.3b | (log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)))) |
| 27.1b | (pow.f64 (cbrt.f64 (tan.f64 eps)) 3) | |
| 26.4b | (/.f64 1 (/.f64 1 (tan.f64 eps))) | |
| 29.3b | (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) | |
| 45.8b | (log1p.f64 (-.f64 (exp.f64 (tan.f64 eps)) 1)) | |
| 33.3b | (-.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 (expm1.f64 (tan.f64 x))) (+.f64 1 (expm1.f64 (tan.f64 eps))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) | |
| 45.0b | (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)))) | |
| 38.8b | (log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))))) | |
| 29.9b | (pow.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)) 3) | |
| ✓ | 22.2b | (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))) |
| 29.3b | (fma.f64 eps (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 3) eps) | |
| ✓ | 36.5b | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 37.1b | (-.f64 (tan.f64 eps) (tan.f64 x)) | |
| 50.7b | (-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x)) | |
| 27.1b | (pow.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (tan.f64 eps)))) 3) | |
| 56.8b | (pow.f64 (pow.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) 3) 1/3) | |
| 22.3b | (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1) (sin.f64 x))) (*.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1) (cos.f64 x))) | |
| 32.6b | (-.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 (expm1.f64 (tan.f64 x))) (exp.f64 (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) |
Compiled 1139 to 809 computations (29% saved)
| Inputs |
|---|
eps |
(-.f64 eps x) |
(tan.f64 eps) |
(-.f64 eps (tan.f64 x)) |
(*.f64 eps (fma.f64 x x 1)) |
(-.f64 (+.f64 1 (tan.f64 eps)) 1) |
(-.f64 (+.f64 1 (tan.f64 eps)) 1) |
(/.f64 1 (/.f64 1 (tan.f64 eps))) |
(+.f64 eps (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3)))) |
(pow.f64 (cbrt.f64 eps) 3) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(-.f64 (tan.f64 eps) (tan.f64 x)) |
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) |
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) |
(*.f64 (/.f64 1 (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 eps (pow.f64 x 2)) (+.f64 eps (*.f64 2/3 (*.f64 eps (pow.f64 x 4))))) |
(exp.f64 (log.f64 (tan.f64 eps))) |
(expm1.f64 (log1p.f64 (tan.f64 eps))) |
(log.f64 (exp.f64 (tan.f64 eps))) |
(exp.f64 (log.f64 (tan.f64 eps))) |
(log1p.f64 (expm1.f64 (tan.f64 eps))) |
(expm1.f64 (log1p.f64 (tan.f64 eps))) |
(log.f64 (exp.f64 (tan.f64 eps))) |
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2) |
(cbrt.f64 (pow.f64 (tan.f64 eps) 3)) |
(sqrt.f64 (pow.f64 (tan.f64 eps) 2)) |
(sqrt.f64 (pow.f64 (tan.f64 eps) 2)) |
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3) |
(cbrt.f64 (pow.f64 (tan.f64 eps) 3)) |
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3) |
(log1p.f64 (-.f64 (exp.f64 (tan.f64 eps)) 1)) |
(pow.f64 (pow.f64 (tan.f64 eps) 1/3) 3) |
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) 1)) 3) |
(+.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (tan.f64 eps))) 1/3)) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) |
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1) eps) |
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (tan.f64 eps))) 1) 3) |
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (tan.f64 eps)))) 3) |
(+.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) eps) |
(-.f64 (/.f64 (sin.f64 eps) (fma.f64 eps (*.f64 eps -1/2) 1)) (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)) |
(pow.f64 (pow.f64 (pow.f64 (tan.f64 eps) 1/6) 2) 3) |
(pow.f64 (cbrt.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)) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3) |
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) |
(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 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) |
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) |
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x)) |
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x)) |
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) |
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x)) |
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x)) |
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) |
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x)) |
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))) (tan.f64 x)) |
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (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) |
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps) |
(*.f64 eps (+.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 eps (/.f64 (*.f64 eps (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)))) |
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(fma.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)) eps) |
(-.f64 (/.f64 (sin.f64 eps) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))) (tan.f64 x)) |
(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (tan.f64 eps))) 3)) |
(pow.f64 (cbrt.f64 (log.f64 (exp.f64 (tan.f64 eps)))) 3) |
(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (tan.f64 eps)))) 3) |
(pow.f64 (cbrt.f64 (exp.f64 (log.f64 (tan.f64 eps)))) 3) |
(pow.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (tan.f64 eps)))) 3) |
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) 3) 3) |
(pow.f64 (/.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (cos.f64 eps))) 3) |
(log.f64 (exp.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))))) |
(log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))))) |
(cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 3)) |
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 2)) |
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) 3) |
(pow.f64 (/.f64 1 (/.f64 (cbrt.f64 (cos.f64 eps)) (cbrt.f64 (sin.f64 eps)))) 3) |
(pow.f64 (*.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (/.f64 1 (cos.f64 eps)))) 3) |
(-.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (pow.f64 (cos.f64 eps) 2))) (tan.f64 x)) |
(pow.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 3) 1/3) |
(fma.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)) eps) |
(fma.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2)) eps) |
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps) |
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (tan.f64 x))))) |
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (exp.f64 (tan.f64 x)))) |
(fma.f64 eps (*.f64 (/.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) eps) |
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.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 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) |
(fma.f64 eps (expm1.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) eps) |
(pow.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)) 3) |
(fma.f64 eps (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 3) eps) |
(pow.f64 (pow.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) 3) 1/3) |
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x)) |
(pow.f64 (cbrt.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 3) |
(+.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))) |
(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))) |
(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 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (tan.f64 x)) |
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 x) 2))) 1)) eps) |
(-.f64 (expm1.f64 (log1p.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 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 3))) (tan.f64 x)) |
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3) |
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)))) |
(cbrt.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)) |
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))) 2) |
(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 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))) 2) |
(-.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 (expm1.f64 (tan.f64 x))) (exp.f64 (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) |
(fma.f64 (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))) |
(-.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 (expm1.f64 (tan.f64 x))) (+.f64 1 (expm1.f64 (tan.f64 eps))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (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 (neg.f64 (tan.f64 x))))) |
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.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))) |
(fma.f64 (*.f64 eps eps) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (+.f64 eps (*.f64 eps (/.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) (+.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 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1) (sin.f64 x))) (*.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1) (cos.f64 x))) |
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1) (sin.f64 x))) (*.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1) (cos.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)))) |
(+.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)))) |
| Outputs |
|---|
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) |
(fma.f64 (*.f64 eps eps) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(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))) |
4 calls:
| 788.0ms | x |
| 602.0ms | eps |
| 249.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 204.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 10.4b | 7 | x |
| 0.2b | 3 | eps |
| 8.2b | 3 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 8.2b | 3 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 1680 to 714 computations (57.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 191.0ms | 3.6785749218739517e-10 | 107.92048004926731 |
| 134.0ms | -7.262701961593762e+25 | -8.272949994846281e-14 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
eps |
(-.f64 eps x) |
(tan.f64 eps) |
(-.f64 eps (tan.f64 x)) |
(*.f64 eps (fma.f64 x x 1)) |
(-.f64 (+.f64 1 (tan.f64 eps)) 1) |
(-.f64 (+.f64 1 (tan.f64 eps)) 1) |
(/.f64 1 (/.f64 1 (tan.f64 eps))) |
(+.f64 eps (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3)))) |
(pow.f64 (cbrt.f64 eps) 3) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(-.f64 (tan.f64 eps) (tan.f64 x)) |
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) |
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) |
(*.f64 (/.f64 1 (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 eps (pow.f64 x 2)) (+.f64 eps (*.f64 2/3 (*.f64 eps (pow.f64 x 4))))) |
(exp.f64 (log.f64 (tan.f64 eps))) |
(expm1.f64 (log1p.f64 (tan.f64 eps))) |
(log.f64 (exp.f64 (tan.f64 eps))) |
(exp.f64 (log.f64 (tan.f64 eps))) |
(log1p.f64 (expm1.f64 (tan.f64 eps))) |
(expm1.f64 (log1p.f64 (tan.f64 eps))) |
(log.f64 (exp.f64 (tan.f64 eps))) |
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2) |
(cbrt.f64 (pow.f64 (tan.f64 eps) 3)) |
(sqrt.f64 (pow.f64 (tan.f64 eps) 2)) |
(sqrt.f64 (pow.f64 (tan.f64 eps) 2)) |
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3) |
(cbrt.f64 (pow.f64 (tan.f64 eps) 3)) |
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3) |
(log1p.f64 (-.f64 (exp.f64 (tan.f64 eps)) 1)) |
(pow.f64 (pow.f64 (tan.f64 eps) 1/3) 3) |
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) 1)) 3) |
(+.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (tan.f64 eps))) 1/3)) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) |
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1) eps) |
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (tan.f64 eps))) 1) 3) |
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (tan.f64 eps)))) 3) |
(+.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) eps) |
(-.f64 (/.f64 (sin.f64 eps) (fma.f64 eps (*.f64 eps -1/2) 1)) (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)) |
(pow.f64 (pow.f64 (pow.f64 (tan.f64 eps) 1/6) 2) 3) |
(pow.f64 (cbrt.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)) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3) |
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) |
(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 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) |
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) |
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x)) |
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x)) |
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) |
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x)) |
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x)) |
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) |
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x)) |
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))) (tan.f64 x)) |
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (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) |
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps) |
(*.f64 eps (+.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 eps (/.f64 (*.f64 eps (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)))) |
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(fma.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)) eps) |
(-.f64 (/.f64 (sin.f64 eps) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))) (tan.f64 x)) |
(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (tan.f64 eps))) 3)) |
(pow.f64 (cbrt.f64 (log.f64 (exp.f64 (tan.f64 eps)))) 3) |
(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (tan.f64 eps)))) 3) |
(pow.f64 (cbrt.f64 (exp.f64 (log.f64 (tan.f64 eps)))) 3) |
(pow.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (tan.f64 eps)))) 3) |
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) 3) 3) |
(pow.f64 (/.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (cos.f64 eps))) 3) |
(log.f64 (exp.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))))) |
(log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))))) |
(cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 3)) |
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 2)) |
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) 3) |
(pow.f64 (/.f64 1 (/.f64 (cbrt.f64 (cos.f64 eps)) (cbrt.f64 (sin.f64 eps)))) 3) |
(pow.f64 (*.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (/.f64 1 (cos.f64 eps)))) 3) |
(-.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (pow.f64 (cos.f64 eps) 2))) (tan.f64 x)) |
(pow.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 3) 1/3) |
(fma.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)) eps) |
(fma.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2)) eps) |
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps) |
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (tan.f64 x))))) |
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (exp.f64 (tan.f64 x)))) |
(fma.f64 eps (*.f64 (/.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) eps) |
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.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 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) |
(fma.f64 eps (expm1.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) eps) |
(pow.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)) 3) |
(fma.f64 eps (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 3) eps) |
(pow.f64 (pow.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) 3) 1/3) |
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x)) |
(pow.f64 (cbrt.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 3) |
(+.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))) |
(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))) |
(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 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (tan.f64 x)) |
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 x) 2))) 1)) eps) |
(-.f64 (expm1.f64 (log1p.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 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 3))) (tan.f64 x)) |
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3) |
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)))) |
(cbrt.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)) |
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))) 2) |
(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 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))) 2) |
(-.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 (expm1.f64 (tan.f64 x))) (exp.f64 (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) |
(fma.f64 (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))) |
(-.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 (expm1.f64 (tan.f64 x))) (+.f64 1 (expm1.f64 (tan.f64 eps))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (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 (neg.f64 (tan.f64 x))))) |
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.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))) |
| Outputs |
|---|
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) |
(fma.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)) eps) |
(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))) |
4 calls:
| 703.0ms | x |
| 463.0ms | eps |
| 333.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 147.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 10.4b | 7 | x |
| 0.3b | 3 | eps |
| 8.2b | 3 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 8.2b | 3 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 1457 to 626 computations (57% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 56.0ms | 3.6785749218739517e-10 | 107.92048004926731 |
| 52.0ms | -7.262701961593762e+25 | -8.272949994846281e-14 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
eps |
(-.f64 eps x) |
(tan.f64 eps) |
(-.f64 eps (tan.f64 x)) |
(*.f64 eps (fma.f64 x x 1)) |
(-.f64 (+.f64 1 (tan.f64 eps)) 1) |
(-.f64 (+.f64 1 (tan.f64 eps)) 1) |
(/.f64 1 (/.f64 1 (tan.f64 eps))) |
(+.f64 eps (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3)))) |
(pow.f64 (cbrt.f64 eps) 3) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(-.f64 (tan.f64 eps) (tan.f64 x)) |
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) |
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) |
(*.f64 (/.f64 1 (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 eps (pow.f64 x 2)) (+.f64 eps (*.f64 2/3 (*.f64 eps (pow.f64 x 4))))) |
(exp.f64 (log.f64 (tan.f64 eps))) |
(expm1.f64 (log1p.f64 (tan.f64 eps))) |
(log.f64 (exp.f64 (tan.f64 eps))) |
(exp.f64 (log.f64 (tan.f64 eps))) |
(log1p.f64 (expm1.f64 (tan.f64 eps))) |
(expm1.f64 (log1p.f64 (tan.f64 eps))) |
(log.f64 (exp.f64 (tan.f64 eps))) |
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2) |
(cbrt.f64 (pow.f64 (tan.f64 eps) 3)) |
(sqrt.f64 (pow.f64 (tan.f64 eps) 2)) |
(sqrt.f64 (pow.f64 (tan.f64 eps) 2)) |
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3) |
(cbrt.f64 (pow.f64 (tan.f64 eps) 3)) |
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3) |
(log1p.f64 (-.f64 (exp.f64 (tan.f64 eps)) 1)) |
(pow.f64 (pow.f64 (tan.f64 eps) 1/3) 3) |
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) 1)) 3) |
(+.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (tan.f64 eps))) 1/3)) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) |
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1) eps) |
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (tan.f64 eps))) 1) 3) |
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (tan.f64 eps)))) 3) |
(+.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) eps) |
(-.f64 (/.f64 (sin.f64 eps) (fma.f64 eps (*.f64 eps -1/2) 1)) (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)) |
(pow.f64 (pow.f64 (pow.f64 (tan.f64 eps) 1/6) 2) 3) |
(pow.f64 (cbrt.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)) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3) |
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) |
(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 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) |
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) |
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x)) |
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x)) |
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) |
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x)) |
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x)) |
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) |
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x)) |
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))) (tan.f64 x)) |
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (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) |
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps) |
(*.f64 eps (+.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 eps (/.f64 (*.f64 eps (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)))) |
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(fma.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)) eps) |
(-.f64 (/.f64 (sin.f64 eps) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))) (tan.f64 x)) |
(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (tan.f64 eps))) 3)) |
(pow.f64 (cbrt.f64 (log.f64 (exp.f64 (tan.f64 eps)))) 3) |
(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (tan.f64 eps)))) 3) |
(pow.f64 (cbrt.f64 (exp.f64 (log.f64 (tan.f64 eps)))) 3) |
(pow.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (tan.f64 eps)))) 3) |
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) 3) 3) |
(pow.f64 (/.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (cos.f64 eps))) 3) |
(log.f64 (exp.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))))) |
(log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))))) |
(cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 3)) |
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 2)) |
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) 3) |
(pow.f64 (/.f64 1 (/.f64 (cbrt.f64 (cos.f64 eps)) (cbrt.f64 (sin.f64 eps)))) 3) |
(pow.f64 (*.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (/.f64 1 (cos.f64 eps)))) 3) |
(-.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (pow.f64 (cos.f64 eps) 2))) (tan.f64 x)) |
(pow.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 3) 1/3) |
(fma.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)) eps) |
(fma.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2)) eps) |
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps) |
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (tan.f64 x))))) |
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (exp.f64 (tan.f64 x)))) |
(fma.f64 eps (*.f64 (/.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) eps) |
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.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 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) |
(fma.f64 eps (expm1.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) eps) |
(pow.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)) 3) |
(fma.f64 eps (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 3) eps) |
(pow.f64 (pow.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) 3) 1/3) |
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x)) |
(pow.f64 (cbrt.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 3) |
(+.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))) |
| Outputs |
|---|
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) |
(fma.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.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:
| 714.0ms | x |
| 221.0ms | eps |
| 122.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 102.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 10.5b | 7 | x |
| 0.3b | 3 | eps |
| 8.2b | 3 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 8.2b | 3 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 1095 to 492 computations (55.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 73.0ms | 3.6785749218739517e-10 | 107.92048004926731 |
| 55.0ms | -7.262701961593762e+25 | -8.272949994846281e-14 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
eps |
(-.f64 eps x) |
(tan.f64 eps) |
(-.f64 eps (tan.f64 x)) |
(*.f64 eps (fma.f64 x x 1)) |
(-.f64 (+.f64 1 (tan.f64 eps)) 1) |
(-.f64 (+.f64 1 (tan.f64 eps)) 1) |
(/.f64 1 (/.f64 1 (tan.f64 eps))) |
(+.f64 eps (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3)))) |
(pow.f64 (cbrt.f64 eps) 3) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(-.f64 (tan.f64 eps) (tan.f64 x)) |
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) |
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) |
(*.f64 (/.f64 1 (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 eps (pow.f64 x 2)) (+.f64 eps (*.f64 2/3 (*.f64 eps (pow.f64 x 4))))) |
(exp.f64 (log.f64 (tan.f64 eps))) |
(expm1.f64 (log1p.f64 (tan.f64 eps))) |
(log.f64 (exp.f64 (tan.f64 eps))) |
(exp.f64 (log.f64 (tan.f64 eps))) |
(log1p.f64 (expm1.f64 (tan.f64 eps))) |
(expm1.f64 (log1p.f64 (tan.f64 eps))) |
(log.f64 (exp.f64 (tan.f64 eps))) |
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2) |
(cbrt.f64 (pow.f64 (tan.f64 eps) 3)) |
(sqrt.f64 (pow.f64 (tan.f64 eps) 2)) |
(sqrt.f64 (pow.f64 (tan.f64 eps) 2)) |
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3) |
(cbrt.f64 (pow.f64 (tan.f64 eps) 3)) |
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3) |
(log1p.f64 (-.f64 (exp.f64 (tan.f64 eps)) 1)) |
(pow.f64 (pow.f64 (tan.f64 eps) 1/3) 3) |
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) 1)) 3) |
(+.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (tan.f64 eps))) 1/3)) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) |
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1) eps) |
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (tan.f64 eps))) 1) 3) |
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (tan.f64 eps)))) 3) |
(+.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) eps) |
(-.f64 (/.f64 (sin.f64 eps) (fma.f64 eps (*.f64 eps -1/2) 1)) (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)) |
(pow.f64 (pow.f64 (pow.f64 (tan.f64 eps) 1/6) 2) 3) |
(pow.f64 (cbrt.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)) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3) |
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) |
(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 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) |
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) |
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x)) |
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x)) |
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) |
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x)) |
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x)) |
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) |
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x)) |
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))) (tan.f64 x)) |
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (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) |
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps) |
(*.f64 eps (+.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 eps (/.f64 (*.f64 eps (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)))) |
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(fma.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)) eps) |
(-.f64 (/.f64 (sin.f64 eps) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))) (tan.f64 x)) |
(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (tan.f64 eps))) 3)) |
(pow.f64 (cbrt.f64 (log.f64 (exp.f64 (tan.f64 eps)))) 3) |
(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (tan.f64 eps)))) 3) |
(pow.f64 (cbrt.f64 (exp.f64 (log.f64 (tan.f64 eps)))) 3) |
(pow.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (tan.f64 eps)))) 3) |
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) 3) 3) |
(pow.f64 (/.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (cos.f64 eps))) 3) |
(log.f64 (exp.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))))) |
(log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))))) |
(cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 3)) |
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 2)) |
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) 3) |
(pow.f64 (/.f64 1 (/.f64 (cbrt.f64 (cos.f64 eps)) (cbrt.f64 (sin.f64 eps)))) 3) |
(pow.f64 (*.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (/.f64 1 (cos.f64 eps)))) 3) |
(-.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (pow.f64 (cos.f64 eps) 2))) (tan.f64 x)) |
(pow.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 3) 1/3) |
(fma.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)) eps) |
(fma.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2)) eps) |
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps) |
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (tan.f64 x))))) |
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (exp.f64 (tan.f64 x)))) |
(fma.f64 eps (*.f64 (/.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) eps) |
| Outputs |
|---|
(-.f64 (tan.f64 eps) (tan.f64 x)) |
(fma.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)) eps) |
(tan.f64 eps) |
4 calls:
| 172.0ms | x |
| 164.0ms | eps |
| 99.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 90.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 15.2b | 3 | x |
| 13.3b | 3 | eps |
| 14.3b | 3 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 14.3b | 3 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 924 to 426 computations (53.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 67.0ms | 699.0834557798377 | 70871.90767670987 |
| 60.0ms | -7.262701961593762e+25 | -8.272949994846281e-14 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
eps |
(-.f64 eps x) |
(tan.f64 eps) |
(-.f64 eps (tan.f64 x)) |
(*.f64 eps (fma.f64 x x 1)) |
(-.f64 (+.f64 1 (tan.f64 eps)) 1) |
(-.f64 (+.f64 1 (tan.f64 eps)) 1) |
(/.f64 1 (/.f64 1 (tan.f64 eps))) |
(+.f64 eps (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3)))) |
(pow.f64 (cbrt.f64 eps) 3) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(-.f64 (tan.f64 eps) (tan.f64 x)) |
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) |
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) |
(*.f64 (/.f64 1 (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 eps (pow.f64 x 2)) (+.f64 eps (*.f64 2/3 (*.f64 eps (pow.f64 x 4))))) |
(exp.f64 (log.f64 (tan.f64 eps))) |
(expm1.f64 (log1p.f64 (tan.f64 eps))) |
(log.f64 (exp.f64 (tan.f64 eps))) |
(exp.f64 (log.f64 (tan.f64 eps))) |
(log1p.f64 (expm1.f64 (tan.f64 eps))) |
(expm1.f64 (log1p.f64 (tan.f64 eps))) |
(log.f64 (exp.f64 (tan.f64 eps))) |
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2) |
(cbrt.f64 (pow.f64 (tan.f64 eps) 3)) |
(sqrt.f64 (pow.f64 (tan.f64 eps) 2)) |
(sqrt.f64 (pow.f64 (tan.f64 eps) 2)) |
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3) |
(cbrt.f64 (pow.f64 (tan.f64 eps) 3)) |
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3) |
(log1p.f64 (-.f64 (exp.f64 (tan.f64 eps)) 1)) |
(pow.f64 (pow.f64 (tan.f64 eps) 1/3) 3) |
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) 1)) 3) |
(+.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (tan.f64 eps))) 1/3)) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) |
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1) eps) |
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (tan.f64 eps))) 1) 3) |
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (tan.f64 eps)))) 3) |
(+.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) eps) |
(-.f64 (/.f64 (sin.f64 eps) (fma.f64 eps (*.f64 eps -1/2) 1)) (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)) |
(pow.f64 (pow.f64 (pow.f64 (tan.f64 eps) 1/6) 2) 3) |
(pow.f64 (cbrt.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)) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3) |
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) |
(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 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) |
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) |
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x)) |
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x)) |
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) |
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x)) |
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x)) |
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) |
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x)) |
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))) (tan.f64 x)) |
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (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) |
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps) |
(*.f64 eps (+.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 eps (/.f64 (*.f64 eps (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)))) |
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
| Outputs |
|---|
(-.f64 (tan.f64 eps) (tan.f64 x)) |
(+.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) eps) |
(tan.f64 eps) |
4 calls:
| 121.0ms | x |
| 111.0ms | eps |
| 63.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 61.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 15.2b | 3 | x |
| 13.3b | 3 | eps |
| 14.3b | 3 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 14.3b | 3 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 664 to 305 computations (54.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 51.0ms | 699.0834557798377 | 70871.90767670987 |
| 51.0ms | -7.262701961593762e+25 | -8.272949994846281e-14 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
eps |
(-.f64 eps x) |
(tan.f64 eps) |
(-.f64 eps (tan.f64 x)) |
(*.f64 eps (fma.f64 x x 1)) |
(-.f64 (+.f64 1 (tan.f64 eps)) 1) |
(-.f64 (+.f64 1 (tan.f64 eps)) 1) |
(/.f64 1 (/.f64 1 (tan.f64 eps))) |
(+.f64 eps (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3)))) |
(pow.f64 (cbrt.f64 eps) 3) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(-.f64 (tan.f64 eps) (tan.f64 x)) |
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) |
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) |
(*.f64 (/.f64 1 (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 eps (pow.f64 x 2)) (+.f64 eps (*.f64 2/3 (*.f64 eps (pow.f64 x 4))))) |
(exp.f64 (log.f64 (tan.f64 eps))) |
(expm1.f64 (log1p.f64 (tan.f64 eps))) |
(log.f64 (exp.f64 (tan.f64 eps))) |
(exp.f64 (log.f64 (tan.f64 eps))) |
(log1p.f64 (expm1.f64 (tan.f64 eps))) |
(expm1.f64 (log1p.f64 (tan.f64 eps))) |
(log.f64 (exp.f64 (tan.f64 eps))) |
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2) |
(cbrt.f64 (pow.f64 (tan.f64 eps) 3)) |
(sqrt.f64 (pow.f64 (tan.f64 eps) 2)) |
(sqrt.f64 (pow.f64 (tan.f64 eps) 2)) |
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3) |
(cbrt.f64 (pow.f64 (tan.f64 eps) 3)) |
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3) |
(log1p.f64 (-.f64 (exp.f64 (tan.f64 eps)) 1)) |
(pow.f64 (pow.f64 (tan.f64 eps) 1/3) 3) |
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) 1)) 3) |
(+.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (tan.f64 eps))) 1/3)) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) |
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1) eps) |
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (tan.f64 eps))) 1) 3) |
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (tan.f64 eps)))) 3) |
| Outputs |
|---|
(tan.f64 eps) |
3 calls:
| 24.0ms | x |
| 23.0ms | eps |
| 14.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 26.4b | 1 | x |
| 26.4b | 1 | eps |
| 26.4b | 1 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 277 to 142 computations (48.7% saved)
Total -11.1b remaining (-26.2%)
Threshold costs -11.1b (-26.2%)
| Inputs |
|---|
eps |
(-.f64 eps x) |
| Outputs |
|---|
eps |
2 calls:
| 3.0ms | eps |
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 42.2b | 1 | x |
| 42.2b | 1 | eps |
Compiled 12 to 7 computations (41.7% saved)
| 1× | egg-herbie |
| 13× | +-commutative_binary64 |
| 10× | *-commutative_binary64 |
| 9× | sub-neg_binary64 |
| 5× | neg-sub0_binary64 |
| 5× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 384 |
| 1 | 82 | 384 |
| 2 | 102 | 384 |
| 3 | 111 | 384 |
| 4 | 117 | 384 |
| 5 | 119 | 384 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 eps -72627019615937622244851712) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 1778849680976115/4835703278458516698824704) (fma.f64 (*.f64 eps eps) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (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))))) |
(if (<=.f64 eps -72627019615937622244851712) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 1778849680976115/4835703278458516698824704) (fma.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)) eps) (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))))) |
(if (<=.f64 eps -72627019615937622244851712) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 1778849680976115/4835703278458516698824704) (fma.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.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 -72627019615937622244851712) (-.f64 (tan.f64 eps) (tan.f64 x)) (if (<=.f64 eps 6149203107326085/8796093022208) (fma.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)) eps) (tan.f64 eps))) |
(if (<=.f64 eps -72627019615937622244851712) (-.f64 (tan.f64 eps) (tan.f64 x)) (if (<=.f64 eps 6149203107326085/8796093022208) (+.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) eps) (tan.f64 eps))) |
(tan.f64 eps) |
eps |
| Outputs |
|---|
(if (<=.f64 eps -72627019615937622244851712) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 1778849680976115/4835703278458516698824704) (fma.f64 (*.f64 eps eps) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (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))))) |
(if (<=.f64 eps -72627019615937622244851712) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 1778849680976115/4835703278458516698824704) (fma.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)) eps) (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))))) |
(if (<=.f64 eps -72627019615937622244851712) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 1778849680976115/4835703278458516698824704) (fma.f64 eps (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 x 2)))) (pow.f64 (cos.f64 x) 2)) eps) (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))))) |
(if (<=.f64 eps -72627019615937622244851712) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 1778849680976115/4835703278458516698824704) (fma.f64 eps (/.f64 (+.f64 1/2 (*.f64 (cos.f64 (*.f64 x 2)) -1/2)) (pow.f64 (cos.f64 x) 2)) eps) (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))))) |
(if (<=.f64 eps -72627019615937622244851712) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 1778849680976115/4835703278458516698824704) (fma.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.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 -72627019615937622244851712) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 1778849680976115/4835703278458516698824704) (fma.f64 eps (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 x 2)))) (pow.f64 (cos.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 -72627019615937622244851712) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 1778849680976115/4835703278458516698824704) (fma.f64 eps (/.f64 (+.f64 1/2 (*.f64 (cos.f64 (*.f64 x 2)) -1/2)) (pow.f64 (cos.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 -72627019615937622244851712) (-.f64 (tan.f64 eps) (tan.f64 x)) (if (<=.f64 eps 6149203107326085/8796093022208) (fma.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)) eps) (tan.f64 eps))) |
(if (<=.f64 eps -72627019615937622244851712) (-.f64 (tan.f64 eps) (tan.f64 x)) (if (<=.f64 eps 6149203107326085/8796093022208) (fma.f64 eps (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 x 2)))) (pow.f64 (cos.f64 x) 2)) eps) (tan.f64 eps))) |
(if (<=.f64 eps -72627019615937622244851712) (-.f64 (tan.f64 eps) (tan.f64 x)) (if (<=.f64 eps 6149203107326085/8796093022208) (fma.f64 eps (/.f64 (+.f64 1/2 (*.f64 (cos.f64 (*.f64 x 2)) -1/2)) (pow.f64 (cos.f64 x) 2)) eps) (tan.f64 eps))) |
(if (<=.f64 eps -72627019615937622244851712) (-.f64 (tan.f64 eps) (tan.f64 x)) (if (<=.f64 eps 6149203107326085/8796093022208) (+.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) eps) (tan.f64 eps))) |
(if (<=.f64 eps -72627019615937622244851712) (-.f64 (tan.f64 eps) (tan.f64 x)) (if (<=.f64 eps 6149203107326085/8796093022208) (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) (tan.f64 eps))) |
(tan.f64 eps) |
eps |
Compiled 260 to 149 computations (42.7% saved)
| 1× | egg-herbie |
| 665× | fma-def_binary64 |
| 526× | associate-/l*_binary64 |
| 472× | associate-/r*_binary64 |
| 309× | associate-*l/_binary64 |
| 277× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 182 | 3566 |
| 1 | 607 | 3419 |
| 2 | 2053 | 3273 |
| 1× | node limit |
Compiled 939 to 584 computations (37.8% saved)
Compiled 248 to 116 computations (53.2% saved)
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