Time bar (total: 7.4s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 99.9% | 0% | 0.1% | 1 |
Compiled 10 to 7 computations (30% saved)
| 2.0s | 3899× | body | 1024 | valid |
| 1.8s | 2149× | body | 2048 | valid |
| 550.0ms | 1376× | body | 512 | valid |
| 155.0ms | 573× | body | 256 | valid |
| 35.0ms | 256× | body | 128 | valid |
| 6.0ms | 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 | 200 | 22 |
| 8 | 282 | 22 |
| 9 | 353 | 22 |
| 10 | 405 | 22 |
| 11 | 409 | 22 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 eps)) |
| Outputs |
|---|
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 eps)) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 eps)) |
Compiled 9 to 6 computations (33.3% 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 | 124 | 11 |
| 8 | 172 | 11 |
| 9 | 208 | 11 |
| 10 | 234 | 11 |
| 11 | 236 | 11 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Outputs |
|---|
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
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 |
|---|---|---|
| ▶ | 33.7b | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 27 to 18 computations (33.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (cos.f64 x) |
| ✓ | 1.5b | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| ✓ | 3.2b | (cos.f64 (+.f64 x eps)) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | eps | @ | -inf | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 1.0ms | x | @ | 0 | (cos.f64 (+.f64 x eps)) |
| 1.0ms | eps | @ | inf | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 1.0ms | eps | @ | 0 | (cos.f64 (+.f64 x eps)) |
| 1.0ms | eps | @ | 0 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 1× | batch-egg-rewrite |
| 457× | fma-def_binary64 |
| 445× | log-prod_binary64 |
| 238× | fma-neg_binary64 |
| 180× | expm1-udef_binary64 |
| 180× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 1 | 174 | 20 |
| 2 | 2754 | 20 |
| 1× | node limit |
| Inputs |
|---|
(cos.f64 (+.f64 x eps)) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(cos.f64 x) |
| Outputs |
|---|
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(*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 (+.f64 x eps)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (*.f64 (neg.f64 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (cbrt.f64 (exp.f64 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#<rule egg-rr> (2) ((x fma.f64 -1 (cos.f64 x) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (cos.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 x))))))) |
| 1× | egg-herbie |
| 817× | fma-neg_binary64 |
| 461× | fma-def_binary64 |
| 397× | distribute-rgt-neg-out_binary64 |
| 255× | associate-*r*_binary64 |
| 236× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 682 |
| 1 | 222 | 662 |
| 2 | 599 | 628 |
| 3 | 2570 | 616 |
| 1× | node limit |
| Inputs |
|---|
(cos.f64 eps) |
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps))))) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps)))))) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 (-.f64 eps (*.f64 -1 x))) |
(cos.f64 (-.f64 eps (*.f64 -1 x))) |
(cos.f64 (-.f64 eps (*.f64 -1 x))) |
(cos.f64 (-.f64 eps (*.f64 -1 x))) |
(cos.f64 x) |
(+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x)))) |
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 (-.f64 x (*.f64 -1 eps))) |
(cos.f64 (-.f64 x (*.f64 -1 eps))) |
(cos.f64 (-.f64 x (*.f64 -1 eps))) |
(cos.f64 (-.f64 x (*.f64 -1 eps))) |
(-.f64 (cos.f64 eps) 1) |
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1) |
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1) |
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) |
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) |
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) |
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) |
(*.f64 -1 (*.f64 eps (sin.f64 x))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) |
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) |
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) |
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) |
| Outputs |
|---|
(cos.f64 eps) |
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) |
(+.f64 (cos.f64 eps) (*.f64 (neg.f64 x) (sin.f64 eps))) |
(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps))))) |
(+.f64 (cos.f64 eps) (fma.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)) (*.f64 (neg.f64 x) (sin.f64 eps)))) |
(+.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (*.f64 (cos.f64 eps) (*.f64 x (*.f64 x -1/2)))) |
(-.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) (cos.f64 eps)) (*.f64 x (sin.f64 eps))) |
(fma.f64 (fma.f64 -1/2 (*.f64 x x) 1) (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps)))) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps)))))) |
(+.f64 (cos.f64 eps) (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)) (*.f64 (neg.f64 x) (sin.f64 eps))))) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (cos.f64 eps) (*.f64 x (*.f64 x -1/2))) (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))) |
(+.f64 (*.f64 (sin.f64 eps) (fma.f64 1/6 (pow.f64 x 3) (neg.f64 x))) (*.f64 (fma.f64 x (*.f64 x -1/2) 1) (cos.f64 eps))) |
(fma.f64 (fma.f64 -1/2 (*.f64 x x) 1) (cos.f64 eps) (*.f64 (sin.f64 eps) (fma.f64 1/6 (pow.f64 x 3) (neg.f64 x)))) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 (-.f64 eps (*.f64 -1 x))) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 (-.f64 eps (*.f64 -1 x))) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 (-.f64 eps (*.f64 -1 x))) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 (-.f64 eps (*.f64 -1 x))) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 x) |
(+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x)))) |
(+.f64 (cos.f64 x) (*.f64 (neg.f64 eps) (sin.f64 x))) |
(-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) |
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))) |
(+.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x))) |
(fma.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x)))) |
(fma.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1) (*.f64 eps (neg.f64 (sin.f64 x)))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (+.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x))))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x)))) |
(fma.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) |
(fma.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps))) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 (-.f64 x (*.f64 -1 eps))) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 (-.f64 x (*.f64 -1 eps))) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 (-.f64 x (*.f64 -1 eps))) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 (-.f64 x (*.f64 -1 eps))) |
(cos.f64 (+.f64 eps x)) |
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1) |
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) 1)) |
(+.f64 (cos.f64 eps) (fma.f64 (neg.f64 x) (sin.f64 eps) -1)) |
(+.f64 (cos.f64 eps) (fma.f64 x (neg.f64 (sin.f64 eps)) -1)) |
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) 1)) |
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1) |
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)))) 1)) |
(+.f64 (fma.f64 (*.f64 x x) (fma.f64 (cos.f64 eps) -1/2 1/2) (*.f64 (sin.f64 eps) (neg.f64 x))) (+.f64 (cos.f64 eps) -1)) |
(+.f64 (cos.f64 eps) (+.f64 -1 (*.f64 x (-.f64 (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2)) (sin.f64 eps))))) |
(+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2) (neg.f64 (sin.f64 eps))) -1)) |
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1) |
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))))) 1)) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))) (-.f64 (*.f64 x (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2))) 1))) |
(+.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) (fma.f64 1/6 (pow.f64 x 3) (neg.f64 x)) (fma.f64 (*.f64 x x) (fma.f64 (cos.f64 eps) -1/2 1/2) -1))) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(*.f64 -1 (*.f64 eps (sin.f64 x))) |
(*.f64 (neg.f64 eps) (sin.f64 x)) |
(*.f64 eps (neg.f64 (sin.f64 x))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))) |
(fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x))) |
(fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 eps (neg.f64 (sin.f64 x)))) |
(fma.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps (neg.f64 (sin.f64 x)))) |
(fma.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 eps (neg.f64 (sin.f64 x)))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x)))) |
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)))) (*.f64 eps (sin.f64 x))) |
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) |
(fma.f64 eps (*.f64 (*.f64 eps (cos.f64 x)) -1/2) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps))) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))) |
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x))))) |
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (-.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)))) (*.f64 eps (sin.f64 x)))) |
(fma.f64 (cos.f64 x) (*.f64 1/24 (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))) |
(fma.f64 (cos.f64 x) (*.f64 1/24 (pow.f64 eps 4)) (fma.f64 eps (*.f64 (*.f64 eps (cos.f64 x)) -1/2) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 x -1/2) 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 1/24 (pow.f64 x 4) (*.f64 x (*.f64 x -1/2)))) |
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/24 (pow.f64 x 4) 1)) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (*.f64 -1/720 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) 1) (fma.f64 -1/720 (pow.f64 x 6) (*.f64 1/24 (pow.f64 x 4)))) |
(+.f64 (fma.f64 1/24 (pow.f64 x 4) (*.f64 x (*.f64 x -1/2))) (fma.f64 -1/720 (pow.f64 x 6) 1)) |
(+.f64 1 (fma.f64 x (*.f64 x -1/2) (fma.f64 -1/720 (pow.f64 x 6) (*.f64 1/24 (pow.f64 x 4))))) |
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 212 | 16 | 228 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 213 | 16 | 229 |
| Status | Error | Program |
|---|---|---|
| 23.3b | (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) | |
| 23.2b | (-.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (fma.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))) (cos.f64 x)) | |
| 33.7b | (log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) | |
| ▶ | 10.8b | (*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) |
| 34.4b | (+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2) (neg.f64 (sin.f64 eps))) -1)) | |
| 28.2b | (fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) | |
| 34.0b | (-.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))))) (cos.f64 x)) | |
| 23.6b | (-.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x)) | |
| 22.9b | (-.f64 (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x)) | |
| 33.8b | (cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3)) | |
| 32.8b | (fma.f64 (cos.f64 x) (*.f64 1/24 (pow.f64 eps 4)) (fma.f64 eps (*.f64 (*.f64 eps (cos.f64 x)) -1/2) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))) | |
| 33.8b | (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))) | |
| 33.9b | (/.f64 1 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)))) | |
| 45.3b | (*.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x)))) | |
| 33.9b | (*.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) | |
| 22.9b | (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
Compiled 4651 to 1553 computations (66.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (+.f64 x eps)) |
| ✓ | 0.3b | (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) |
| ✓ | 3.3b | (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | eps | @ | -inf | (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) |
| 1.0ms | x | @ | inf | (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) |
| 1.0ms | eps | @ | 0 | (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) |
| 1.0ms | x | @ | 0 | (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) |
| 1.0ms | x | @ | 0 | (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) |
| 1× | batch-egg-rewrite |
| 187× | log1p-udef_binary64 |
| 158× | add-sqr-sqrt_binary64 |
| 155× | pow1_binary64 |
| 154× | *-un-lft-identity_binary64 |
| 148× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 42 |
| 1 | 309 | 16 |
| 2 | 4725 | 16 |
| 1× | node limit |
| Inputs |
|---|
(sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) |
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) |
(+.f64 x (+.f64 x eps)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) (sqrt.f64 (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 1/2 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sin.f64 (*.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 1/2 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 eps)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) 2) (/.f64 (cos.f64 (*.f64 1/2 (+.f64 eps eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 eps 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 eps (/.f64 0 eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 0 eps)) (/.f64 (pow.f64 (+.f64 x eps) 2) (-.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps eps) (/.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 eps) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 x eps) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 eps 3) (/.f64 1 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (-.f64 0 eps)) (/.f64 1 (-.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (+.f64 x eps) eps)) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 0 eps) (*.f64 eps (-.f64 0 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 eps eps) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 eps (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps eps) eps)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (fma.f64 x x (*.f64 (+.f64 x eps) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (+.f64 (pow.f64 (+.f64 x eps) 2) (-.f64 (*.f64 x x) (*.f64 x (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 eps 3) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (-.f64 0 eps)) (-.f64 0 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 eps eps)) (neg.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 x eps) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 eps (-.f64 0 eps))) (neg.f64 (-.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 eps 3)) (neg.f64 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 x eps) 2) (+.f64 (*.f64 x x) (*.f64 x (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 eps 3) 0) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (*.f64 eps eps)) (-.f64 0 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 eps 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 eps) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 eps) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 eps 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 eps 3))))) (#(struct:change #<rule egg-rr> (2) ((x . eps)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x eps) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 eps 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) (cbrt.f64 (+.f64 x eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) (cbrt.f64 (+.f64 x eps)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 (+.f64 x eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 (+.f64 x eps)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 eps)))))) |
| 1× | egg-herbie |
| 582× | fma-def_binary64 |
| 354× | distribute-rgt-neg-out_binary64 |
| 353× | associate-*l*_binary64 |
| 348× | associate-*r*_binary64 |
| 303× | distribute-lft-neg-out_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 986 |
| 1 | 256 | 974 |
| 2 | 710 | 847 |
| 3 | 2747 | 829 |
| 1× | node limit |
| Inputs |
|---|
(sin.f64 (*.f64 1/2 eps)) |
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps))) |
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (+.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2)))))) |
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) |
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) |
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) |
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) |
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) |
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) |
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) |
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) |
(sin.f64 x) |
(+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)) |
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))) |
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))) |
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) |
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) |
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) |
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) |
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) |
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) |
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) |
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) |
(*.f64 1/2 (*.f64 eps (sin.f64 x))) |
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x)))) |
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x)))) (*.f64 1/2 (*.f64 eps (sin.f64 x))))) |
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x)))) (+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x)))))) |
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 -1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2))))) |
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (+.f64 (*.f64 -1/6 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)))) (*.f64 -1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2)))))) |
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) |
eps |
(+.f64 (*.f64 2 x) eps) |
(+.f64 (*.f64 2 x) eps) |
(+.f64 (*.f64 2 x) eps) |
(*.f64 2 x) |
(+.f64 eps (*.f64 2 x)) |
(+.f64 eps (*.f64 2 x)) |
(+.f64 eps (*.f64 2 x)) |
(*.f64 2 x) |
(+.f64 eps (*.f64 2 x)) |
(+.f64 eps (*.f64 2 x)) |
(+.f64 eps (*.f64 2 x)) |
(*.f64 2 x) |
(+.f64 eps (*.f64 2 x)) |
(+.f64 eps (*.f64 2 x)) |
(+.f64 eps (*.f64 2 x)) |
eps |
(+.f64 (*.f64 2 x) eps) |
(+.f64 (*.f64 2 x) eps) |
(+.f64 (*.f64 2 x) eps) |
eps |
(+.f64 (*.f64 2 x) eps) |
(+.f64 (*.f64 2 x) eps) |
(+.f64 (*.f64 2 x) eps) |
| Outputs |
|---|
(sin.f64 (*.f64 1/2 eps)) |
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps))) |
(fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps))) |
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))))) |
(+.f64 (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps))) (*.f64 (*.f64 -1/2 (sin.f64 (*.f64 1/2 eps))) (*.f64 x x))) |
(fma.f64 (cos.f64 (*.f64 1/2 eps)) x (fma.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x)) (sin.f64 (*.f64 1/2 eps)))) |
(fma.f64 (cos.f64 (*.f64 1/2 eps)) x (*.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 1) (sin.f64 (*.f64 1/2 eps)))) |
(fma.f64 (cos.f64 (*.f64 1/2 eps)) x (*.f64 (+.f64 (*.f64 (*.f64 -1/2 x) x) 1) (sin.f64 (*.f64 1/2 eps)))) |
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (+.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2)))))) |
(+.f64 (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps))) (fma.f64 -1/6 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)) (*.f64 (*.f64 -1/2 (sin.f64 (*.f64 1/2 eps))) (*.f64 x x)))) |
(+.f64 (fma.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (pow.f64 x 3) -1/6))) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps)))) |
(fma.f64 (cos.f64 (*.f64 1/2 eps)) x (fma.f64 (pow.f64 x 3) (*.f64 (cos.f64 (*.f64 1/2 eps)) -1/6) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 1) (sin.f64 (*.f64 1/2 eps))))) |
(+.f64 (*.f64 (+.f64 (*.f64 (*.f64 -1/2 x) x) 1) (sin.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))) |
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) |
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) |
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) |
(sin.f64 (fma.f64 1/2 eps x)) |
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) |
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) |
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) |
(sin.f64 (fma.f64 1/2 eps x)) |
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) |
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) |
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) |
(sin.f64 (fma.f64 1/2 eps x)) |
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) |
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) |
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) |
(sin.f64 (fma.f64 1/2 eps x)) |
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) |
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) |
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) |
(sin.f64 (fma.f64 1/2 eps x)) |
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) |
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) |
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) |
(sin.f64 (fma.f64 1/2 eps x)) |
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) |
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) |
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) |
(sin.f64 (fma.f64 1/2 eps x)) |
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) |
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) |
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) |
(sin.f64 (fma.f64 1/2 eps x)) |
(sin.f64 x) |
(+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)) |
(fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x)) |
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))) |
(fma.f64 -1/8 (*.f64 (sin.f64 x) (*.f64 eps eps)) (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x))) |
(fma.f64 1/2 (*.f64 eps (cos.f64 x)) (fma.f64 -1/8 (*.f64 (sin.f64 x) (*.f64 eps eps)) (sin.f64 x))) |
(fma.f64 1/2 (*.f64 eps (cos.f64 x)) (*.f64 (+.f64 (*.f64 eps (*.f64 eps -1/8)) 1) (sin.f64 x))) |
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))) |
(fma.f64 -1/8 (*.f64 (sin.f64 x) (*.f64 eps eps)) (fma.f64 -1/48 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x)))) |
(fma.f64 -1/8 (*.f64 (sin.f64 x) (*.f64 eps eps)) (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/48 (pow.f64 eps 3)) (*.f64 1/2 eps))))) |
(fma.f64 (cos.f64 x) (fma.f64 -1/48 (pow.f64 eps 3) (*.f64 1/2 eps)) (fma.f64 -1/8 (*.f64 (sin.f64 x) (*.f64 eps eps)) (sin.f64 x))) |
(fma.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/8)) (fma.f64 (cos.f64 x) (fma.f64 -1/48 (pow.f64 eps 3) (*.f64 1/2 eps)) (sin.f64 x))) |
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) |
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) |
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) |
(sin.f64 (fma.f64 1/2 eps x)) |
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) |
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) |
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) |
(sin.f64 (fma.f64 1/2 eps x)) |
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) |
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) |
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) |
(sin.f64 (fma.f64 1/2 eps x)) |
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) |
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) |
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) |
(sin.f64 (fma.f64 1/2 eps x)) |
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) |
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) |
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) |
(sin.f64 (fma.f64 1/2 eps x)) |
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) |
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) |
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) |
(sin.f64 (fma.f64 1/2 eps x)) |
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) |
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) |
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) |
(sin.f64 (fma.f64 1/2 eps x)) |
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) |
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) |
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) |
(sin.f64 (fma.f64 1/2 eps x)) |
(*.f64 1/2 (*.f64 eps (sin.f64 x))) |
(*.f64 (*.f64 1/2 eps) (sin.f64 x)) |
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x)))) |
(fma.f64 1/4 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 1/2 (*.f64 eps (sin.f64 x)))) |
(fma.f64 1/2 (*.f64 eps (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) 1/4))) |
(fma.f64 1/2 (*.f64 eps (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps 1/4)))) |
(*.f64 eps (+.f64 (*.f64 1/2 (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 eps 1/4)))) |
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x)))) (*.f64 1/2 (*.f64 eps (sin.f64 x))))) |
(fma.f64 1/4 (*.f64 (cos.f64 x) (*.f64 eps eps)) (fma.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12) (*.f64 1/2 (*.f64 eps (sin.f64 x))))) |
(fma.f64 1/4 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 1/2 (*.f64 eps (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 -1/12 (pow.f64 eps 3))))) |
(fma.f64 (cos.f64 x) (*.f64 eps (*.f64 eps 1/4)) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/2 eps) (*.f64 (pow.f64 eps 3) -1/12)))) |
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x)))) (+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x)))))) |
(fma.f64 1/4 (*.f64 (cos.f64 x) (*.f64 eps eps)) (fma.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12) (fma.f64 -1/48 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (*.f64 1/2 (*.f64 eps (sin.f64 x)))))) |
(fma.f64 1/4 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12) (fma.f64 (*.f64 1/2 eps) (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 -1/48 (pow.f64 eps 4)))))) |
(fma.f64 (cos.f64 x) (*.f64 eps (*.f64 eps 1/4)) (fma.f64 (cos.f64 x) (*.f64 -1/48 (pow.f64 eps 4)) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/2 eps) (*.f64 (pow.f64 eps 3) -1/12))))) |
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/2 eps) (*.f64 (pow.f64 eps 3) -1/12))) (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/48 (pow.f64 eps 4)) (*.f64 eps (*.f64 eps 1/4))))) |
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x))) |
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x))) |
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x))) |
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x))) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(fma.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps)))) |
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 -1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2))))) |
(+.f64 (fma.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps))))) |
(fma.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 1) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (*.f64 (+.f64 (*.f64 (*.f64 -1/2 x) x) 1) (sin.f64 (*.f64 1/2 eps))))) |
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (+.f64 (*.f64 -1/6 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)))) (*.f64 -1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2)))))) |
(+.f64 (fma.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (fma.f64 -1/6 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))) (*.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 x x)))) |
(+.f64 (fma.f64 -1/6 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))) (*.f64 (*.f64 x x) (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (fma.f64 (pow.f64 x 3) (*.f64 (cos.f64 (*.f64 1/2 eps)) -1/6) (sin.f64 (*.f64 1/2 eps)))))) |
(+.f64 (*.f64 (+.f64 (*.f64 (*.f64 -1/2 x) x) 1) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))) |
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x))) |
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x))) |
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x))) |
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x))) |
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x))) |
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x))) |
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x))) |
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x))) |
eps |
(+.f64 (*.f64 2 x) eps) |
(fma.f64 2 x eps) |
(fma.f64 x 2 eps) |
(+.f64 (*.f64 2 x) eps) |
(fma.f64 2 x eps) |
(fma.f64 x 2 eps) |
(+.f64 (*.f64 2 x) eps) |
(fma.f64 2 x eps) |
(fma.f64 x 2 eps) |
(*.f64 2 x) |
(*.f64 x 2) |
(+.f64 eps (*.f64 2 x)) |
(fma.f64 2 x eps) |
(fma.f64 x 2 eps) |
(+.f64 eps (*.f64 2 x)) |
(fma.f64 2 x eps) |
(fma.f64 x 2 eps) |
(+.f64 eps (*.f64 2 x)) |
(fma.f64 2 x eps) |
(fma.f64 x 2 eps) |
(*.f64 2 x) |
(*.f64 x 2) |
(+.f64 eps (*.f64 2 x)) |
(fma.f64 2 x eps) |
(fma.f64 x 2 eps) |
(+.f64 eps (*.f64 2 x)) |
(fma.f64 2 x eps) |
(fma.f64 x 2 eps) |
(+.f64 eps (*.f64 2 x)) |
(fma.f64 2 x eps) |
(fma.f64 x 2 eps) |
(*.f64 2 x) |
(*.f64 x 2) |
(+.f64 eps (*.f64 2 x)) |
(fma.f64 2 x eps) |
(fma.f64 x 2 eps) |
(+.f64 eps (*.f64 2 x)) |
(fma.f64 2 x eps) |
(fma.f64 x 2 eps) |
(+.f64 eps (*.f64 2 x)) |
(fma.f64 2 x eps) |
(fma.f64 x 2 eps) |
eps |
(+.f64 (*.f64 2 x) eps) |
(fma.f64 2 x eps) |
(fma.f64 x 2 eps) |
(+.f64 (*.f64 2 x) eps) |
(fma.f64 2 x eps) |
(fma.f64 x 2 eps) |
(+.f64 (*.f64 2 x) eps) |
(fma.f64 2 x eps) |
(fma.f64 x 2 eps) |
eps |
(+.f64 (*.f64 2 x) eps) |
(fma.f64 2 x eps) |
(fma.f64 x 2 eps) |
(+.f64 (*.f64 2 x) eps) |
(fma.f64 2 x eps) |
(fma.f64 x 2 eps) |
(+.f64 (*.f64 2 x) eps) |
(fma.f64 2 x eps) |
(fma.f64 x 2 eps) |
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 131 | 7 | 138 |
| Fresh | 6 | 9 | 15 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 138 | 16 | 154 |
| Status | Error | Program |
|---|---|---|
| 23.3b | (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) | |
| 31.3b | (*.f64 -2 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3))) | |
| 32.3b | (*.f64 -2 (*.f64 eps (+.f64 (*.f64 1/2 (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 eps 1/4))))) | |
| 23.2b | (-.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (fma.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))) (cos.f64 x)) | |
| 33.8b | (*.f64 -2 (log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) | |
| 33.7b | (log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) | |
| 23.6b | (-.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x)) | |
| 22.9b | (-.f64 (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x)) | |
| 28.5b | (*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 3))) | |
| 26.9b | (*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))))))) | |
| 32.8b | (fma.f64 (cos.f64 x) (*.f64 1/24 (pow.f64 eps 4)) (fma.f64 eps (*.f64 (*.f64 eps (cos.f64 x)) -1/2) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))) | |
| 33.8b | (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))) | |
| 28.6b | (*.f64 -2 (exp.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) | |
| 28.2b | (fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) | |
| 28.2b | (*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 eps)))))) | |
| ▶ | 22.9b | (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
Compiled 3598 to 2287 computations (36.4% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (cos.f64 x) | |
| ✓ | 0.1b | (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) |
| ✓ | 2.8b | (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
| 1.0ms | eps | @ | inf | (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
| 1.0ms | eps | @ | -inf | (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
| 1.0ms | x | @ | -inf | (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
| 1.0ms | x | @ | 0 | (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
| 1× | batch-egg-rewrite |
| 833× | log1p-expm1-u_binary64 |
| 833× | expm1-log1p-u_binary64 |
| 104× | add-sqr-sqrt_binary64 |
| 102× | *-un-lft-identity_binary64 |
| 102× | pow1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 32 |
| 1 | 199 | 30 |
| 2 | 2448 | 30 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 0) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) 2) (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (sqrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2)) (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 1) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) -1) (*.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 -1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2)) (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2)) (neg.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (neg.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2))) (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2))) (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 0 (+.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2) (*.f64 0 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (pow.f64 (cos.f64 x) 2)) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))))) |
| 1× | egg-herbie |
| 387× | associate-+l+_binary64 |
| 380× | fma-neg_binary64 |
| 360× | fma-def_binary64 |
| 353× | *-commutative_binary64 |
| 259× | associate-+r+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 902 |
| 1 | 209 | 822 |
| 2 | 578 | 795 |
| 3 | 2055 | 784 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (cos.f64 eps) 1) |
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1) |
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1) |
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(*.f64 -1 (*.f64 eps (sin.f64 x))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
1 |
(+.f64 1 (*.f64 (sin.f64 eps) x)) |
(+.f64 1 (+.f64 (*.f64 (sin.f64 eps) x) (*.f64 -1/2 (pow.f64 x 2)))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 1 (+.f64 (*.f64 (sin.f64 eps) x) (*.f64 -1/2 (pow.f64 x 2))))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(cos.f64 x) |
(+.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)) |
(+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))) |
(+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (sin.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
| Outputs |
|---|
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1) |
(+.f64 (cos.f64 eps) (-.f64 (neg.f64 (*.f64 x (sin.f64 eps))) 1)) |
(+.f64 (cos.f64 eps) (fma.f64 (neg.f64 x) (sin.f64 eps) -1)) |
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) 1)) |
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1) |
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 x x))) 1)) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (*.f64 x x)) (fma.f64 (neg.f64 x) (sin.f64 eps) -1))) |
(+.f64 (*.f64 x (-.f64 (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2)) (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)) |
(+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2) (neg.f64 (sin.f64 eps))) -1)) |
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1) |
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 x x)))) 1)) |
(+.f64 (cos.f64 eps) (+.f64 (+.f64 (*.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (*.f64 x x)) (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))) -1)) |
(+.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) (-.f64 (*.f64 1/6 (pow.f64 x 3)) x) (fma.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (*.f64 x x) -1))) |
(+.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) (fma.f64 1/6 (pow.f64 x 3) (neg.f64 x)) (fma.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (*.f64 x x) -1))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(*.f64 -1 (*.f64 eps (sin.f64 x))) |
(neg.f64 (*.f64 eps (sin.f64 x))) |
(*.f64 eps (neg.f64 (sin.f64 x))) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))) |
(fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (neg.f64 (*.f64 eps (sin.f64 x)))) |
(fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 eps (neg.f64 (sin.f64 x)))) |
(-.f64 (*.f64 eps (*.f64 (*.f64 eps (cos.f64 x)) -1/2)) (*.f64 eps (sin.f64 x))) |
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (neg.f64 (*.f64 eps (sin.f64 x))))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 eps (neg.f64 (sin.f64 x))))) |
(fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) |
(fma.f64 eps (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps))) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))) |
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (neg.f64 (*.f64 eps (sin.f64 x)))))) |
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 eps (neg.f64 (sin.f64 x)))))) |
(fma.f64 (cos.f64 x) (*.f64 1/24 (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))) |
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 eps (*.f64 eps -1/2)))) (*.f64 (sin.f64 x) (+.f64 eps (*.f64 (pow.f64 eps 3) -1/6)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
1 |
(+.f64 1 (*.f64 (sin.f64 eps) x)) |
(+.f64 1 (*.f64 x (sin.f64 eps))) |
(fma.f64 x (sin.f64 eps) 1) |
(+.f64 1 (+.f64 (*.f64 (sin.f64 eps) x) (*.f64 -1/2 (pow.f64 x 2)))) |
(+.f64 1 (fma.f64 (sin.f64 eps) x (*.f64 -1/2 (*.f64 x x)))) |
(+.f64 1 (fma.f64 x (sin.f64 eps) (*.f64 (*.f64 -1/2 x) x))) |
(fma.f64 x (sin.f64 eps) (fma.f64 x (*.f64 x -1/2) 1)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 1 (+.f64 (*.f64 (sin.f64 eps) x) (*.f64 -1/2 (pow.f64 x 2))))) |
(fma.f64 -1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (+.f64 1 (fma.f64 (sin.f64 eps) x (*.f64 -1/2 (*.f64 x x))))) |
(fma.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) -1/6 (+.f64 1 (fma.f64 x (sin.f64 eps) (*.f64 (*.f64 -1/2 x) x)))) |
(fma.f64 (sin.f64 eps) (*.f64 (pow.f64 x 3) -1/6) (fma.f64 x (sin.f64 eps) (fma.f64 x (*.f64 x -1/2) 1))) |
(+.f64 (fma.f64 x (*.f64 x -1/2) 1) (*.f64 (sin.f64 eps) (-.f64 x (*.f64 1/6 (pow.f64 x 3))))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) |
(cos.f64 x) |
(+.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)) |
(fma.f64 eps (sin.f64 x) (cos.f64 x)) |
(+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))) |
(+.f64 (fma.f64 eps (sin.f64 x) (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) -1/6)) |
(fma.f64 eps (sin.f64 x) (fma.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) -1/6 (cos.f64 x))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 eps (*.f64 (pow.f64 eps 3) -1/6)))) |
(+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (sin.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))))) |
(+.f64 (fma.f64 eps (sin.f64 x) (cos.f64 x)) (fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 eps 5)) (*.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) -1/6))) |
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 (pow.f64 eps 3) -1/6) (*.f64 1/120 (pow.f64 eps 5)))) (fma.f64 eps (sin.f64 x) (cos.f64 x))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 eps (fma.f64 (pow.f64 eps 3) -1/6 (*.f64 1/120 (pow.f64 eps 5)))))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) |
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 153 | 4 | 157 |
| Fresh | 3 | 12 | 15 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 156 | 17 | 173 |
| Status | Error | Program |
|---|---|---|
| 23.4b | (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 3))) | |
| 23.3b | (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) | |
| 31.3b | (*.f64 -2 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3))) | |
| 23.2b | (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2)) (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) | |
| 28.2b | (fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) | |
| 23.6b | (-.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x)) | |
| ▶ | 22.9b | (-.f64 (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x)) |
| 28.5b | (*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 3))) | |
| 26.9b | (*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))))))) | |
| 32.8b | (fma.f64 (cos.f64 x) (*.f64 1/24 (pow.f64 eps 4)) (fma.f64 eps (*.f64 (*.f64 eps (cos.f64 x)) -1/2) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))) | |
| 33.8b | (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))) | |
| 28.6b | (*.f64 -2 (exp.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) | |
| 33.8b | (*.f64 -2 (log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) | |
| 24.7b | (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) 1))) | |
| 28.2b | (*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 eps)))))) | |
| ✓ | 22.9b | (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
| 32.3b | (*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))) |
Compiled 3582 to 1349 computations (62.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) |
| ✓ | 0.1b | (*.f64 (cos.f64 x) (cos.f64 eps)) |
| ✓ | 0.2b | (*.f64 (sin.f64 x) (sin.f64 eps)) |
| ✓ | 2.9b | (-.f64 (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x)) |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (sin.f64 x) (sin.f64 eps)) |
| 1.0ms | x | @ | inf | (-.f64 (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x)) |
| 1.0ms | eps | @ | inf | (-.f64 (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x)) |
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x)) |
| 0.0ms | eps | @ | 0 | (*.f64 (sin.f64 x) (sin.f64 eps)) |
| 1× | batch-egg-rewrite |
| 241× | expm1-udef_binary64 |
| 241× | log1p-udef_binary64 |
| 150× | add-sqr-sqrt_binary64 |
| 146× | *-un-lft-identity_binary64 |
| 146× | pow1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 57 |
| 1 | 276 | 33 |
| 2 | 4389 | 33 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x)) |
(*.f64 (sin.f64 x) (sin.f64 eps)) |
(*.f64 (cos.f64 x) (cos.f64 eps)) |
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 x eps)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 x eps)) (*.f64 (neg.f64 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) (cos.f64 (-.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))) (sqrt.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cos.f64 (-.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 (-.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (-.f64 x eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cos.f64 (-.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 x) (cos.f64 (-.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (cos.f64 (-.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (-.f64 x eps))) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 (-.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (-.f64 x eps))))) (-.f64 (pow.f64 (cos.f64 (-.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cos.f64 x) (cos.f64 (-.f64 x eps))) (-.f64 (pow.f64 (cos.f64 (-.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 (-.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 (-.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (-.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 (-.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (cos.f64 (-.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (-.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 (-.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (-.f64 x eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (-.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (neg.f64 (+.f64 (cos.f64 x) (cos.f64 (-.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2) (-.f64 (*.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 (-.f64 x eps)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 (pow.f64 (cos.f64 (-.f64 x eps)) 2) (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 (cos.f64 (-.f64 x eps)) (neg.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2) (*.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))) (+.f64 (cos.f64 x) (cos.f64 (-.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 (-.f64 x eps)) 2) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 (cos.f64 (-.f64 x eps)) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)))))))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (+.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (-.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (-.f64 x eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (-.f64 eps x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (-.f64 x eps)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 x eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2) (cos.f64 (-.f64 x eps))) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2) (cos.f64 (-.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 0) (*.f64 (sin.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (-.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (-.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (-.f64 x eps)) 2) (/.f64 1 (cos.f64 (-.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(expm1.f64 (cos.f64 (-.f64 x eps)))))))) |
| 1× | egg-herbie |
| 809× | fma-def_binary64 |
| 519× | fma-neg_binary64 |
| 330× | associate-*r*_binary64 |
| 313× | associate-*l*_binary64 |
| 310× | distribute-rgt-out_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 114 | 1482 |
| 1 | 340 | 1401 |
| 2 | 1005 | 1322 |
| 3 | 3654 | 1300 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (cos.f64 eps) 1) |
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1) |
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1) |
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(*.f64 -1 (*.f64 eps (sin.f64 x))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(*.f64 (sin.f64 eps) x) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 (sin.f64 eps) x)) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 (sin.f64 eps) x))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 x 7) (sin.f64 eps))) (*.f64 (sin.f64 eps) x)))) |
(*.f64 eps (sin.f64 x)) |
(+.f64 (*.f64 eps (sin.f64 x)) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))) |
(+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (sin.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))) |
(+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 eps 7) (sin.f64 x))) (+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (sin.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))))) |
(cos.f64 eps) |
(+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 1/24 (*.f64 (cos.f64 eps) (pow.f64 x 4))))) |
(+.f64 (*.f64 -1/720 (*.f64 (cos.f64 eps) (pow.f64 x 6))) (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 1/24 (*.f64 (cos.f64 eps) (pow.f64 x 4)))))) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(cos.f64 x) |
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))))) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(cos.f64 eps) |
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps))))) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps)))))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(cos.f64 x) |
(+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x)))) |
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) |
| Outputs |
|---|
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1) |
(+.f64 (cos.f64 eps) (-.f64 (neg.f64 (*.f64 x (sin.f64 eps))) 1)) |
(+.f64 (cos.f64 eps) (fma.f64 (neg.f64 x) (sin.f64 eps) -1)) |
(+.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) (neg.f64 x) -1)) |
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) 1)) |
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1) |
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 x x))) 1)) |
(+.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (-.f64 (*.f64 x (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2))) 1)) |
(+.f64 -1 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2)) (sin.f64 eps))))) |
(+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2) (neg.f64 (sin.f64 eps))) -1)) |
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1) |
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 x x)))) 1)) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))) (-.f64 (*.f64 x (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2))) 1))) |
(+.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) (-.f64 (*.f64 1/6 (pow.f64 x 3)) x) (fma.f64 x (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2)) -1))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(*.f64 -1 (*.f64 eps (sin.f64 x))) |
(neg.f64 (*.f64 eps (sin.f64 x))) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))) |
(fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (neg.f64 (*.f64 eps (sin.f64 x)))) |
(-.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps))) (*.f64 eps (sin.f64 x))) |
(fma.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 (sin.f64 x) (neg.f64 eps))) |
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (neg.f64 (*.f64 eps (sin.f64 x))))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps))) (*.f64 eps (sin.f64 x)))) |
(fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3))))) |
(-.f64 (*.f64 eps (*.f64 eps (*.f64 -1/2 (cos.f64 x)))) (*.f64 (sin.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps))) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))) |
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (neg.f64 (*.f64 eps (sin.f64 x)))))) |
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps))) (*.f64 eps (sin.f64 x))))) |
(+.f64 (*.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3)))) (*.f64 (cos.f64 x) (+.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 1/24 (pow.f64 eps 4))))) |
(+.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) (+.f64 (*.f64 1/24 (*.f64 eps eps)) -1/2)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(*.f64 (sin.f64 eps) x) |
(*.f64 x (sin.f64 eps)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 (sin.f64 eps) x)) |
(fma.f64 -1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (*.f64 x (sin.f64 eps))) |
(*.f64 (sin.f64 eps) (+.f64 x (*.f64 (pow.f64 x 3) -1/6))) |
(*.f64 (sin.f64 eps) (fma.f64 (pow.f64 x 3) -1/6 x)) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 (sin.f64 eps) x))) |
(fma.f64 1/120 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (fma.f64 -1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (*.f64 x (sin.f64 eps)))) |
(fma.f64 1/120 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (*.f64 (sin.f64 eps) (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))) |
(*.f64 (sin.f64 eps) (+.f64 (fma.f64 (pow.f64 x 3) -1/6 x) (*.f64 1/120 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 x 7) (sin.f64 eps))) (*.f64 (sin.f64 eps) x)))) |
(fma.f64 1/120 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (fma.f64 -1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1/5040 (*.f64 (sin.f64 eps) (pow.f64 x 7)) (*.f64 x (sin.f64 eps))))) |
(+.f64 (*.f64 (sin.f64 eps) (+.f64 x (*.f64 -1/5040 (pow.f64 x 7)))) (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 (pow.f64 x 3) -1/6)))) |
(*.f64 (sin.f64 eps) (+.f64 (fma.f64 1/120 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/6)) (fma.f64 -1/5040 (pow.f64 x 7) x))) |
(*.f64 eps (sin.f64 x)) |
(+.f64 (*.f64 eps (sin.f64 x)) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))) |
(fma.f64 eps (sin.f64 x) (*.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) -1/6)) |
(*.f64 (sin.f64 x) (+.f64 (*.f64 (pow.f64 eps 3) -1/6) eps)) |
(*.f64 (sin.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps)) |
(+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (sin.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))) |
(fma.f64 eps (sin.f64 x) (fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 eps 5)) (*.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) -1/6))) |
(fma.f64 eps (sin.f64 x) (*.f64 (sin.f64 x) (+.f64 (*.f64 (pow.f64 eps 3) -1/6) (*.f64 1/120 (pow.f64 eps 5))))) |
(*.f64 (sin.f64 x) (+.f64 eps (fma.f64 (pow.f64 eps 3) -1/6 (*.f64 1/120 (pow.f64 eps 5))))) |
(+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 eps 7) (sin.f64 x))) (+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (sin.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))))) |
(fma.f64 -1/5040 (*.f64 (sin.f64 x) (pow.f64 eps 7)) (fma.f64 eps (sin.f64 x) (fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 eps 5)) (*.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) -1/6)))) |
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 (pow.f64 eps 3) -1/6) (*.f64 1/120 (pow.f64 eps 5)))) (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/5040 (pow.f64 eps 7)) eps))) |
(*.f64 (sin.f64 x) (+.f64 (fma.f64 (pow.f64 eps 3) -1/6 (*.f64 1/120 (pow.f64 eps 5))) (fma.f64 -1/5040 (pow.f64 eps 7) eps))) |
(cos.f64 eps) |
(+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))) |
(+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)))) |
(fma.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)) (cos.f64 eps)) |
(fma.f64 (cos.f64 eps) (*.f64 x (*.f64 x -1/2)) (cos.f64 eps)) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 1/24 (*.f64 (cos.f64 eps) (pow.f64 x 4))))) |
(+.f64 (cos.f64 eps) (fma.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)) (*.f64 1/24 (*.f64 (cos.f64 eps) (pow.f64 x 4))))) |
(+.f64 (cos.f64 eps) (fma.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)) (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 4) 1/24)))) |
(+.f64 (cos.f64 eps) (*.f64 (cos.f64 eps) (+.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 1/24 (pow.f64 x 4))))) |
(*.f64 (cos.f64 eps) (+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) 1))) |
(+.f64 (*.f64 -1/720 (*.f64 (cos.f64 eps) (pow.f64 x 6))) (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 1/24 (*.f64 (cos.f64 eps) (pow.f64 x 4)))))) |
(fma.f64 -1/720 (*.f64 (cos.f64 eps) (pow.f64 x 6)) (+.f64 (cos.f64 eps) (fma.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)) (*.f64 1/24 (*.f64 (cos.f64 eps) (pow.f64 x 4)))))) |
(+.f64 (fma.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)) (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 4) 1/24))) (fma.f64 -1/720 (*.f64 (cos.f64 eps) (pow.f64 x 6)) (cos.f64 eps))) |
(+.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 1/24 (pow.f64 x 4)))) (fma.f64 (cos.f64 eps) (*.f64 -1/720 (pow.f64 x 6)) (cos.f64 eps))) |
(fma.f64 (cos.f64 eps) (*.f64 -1/720 (pow.f64 x 6)) (*.f64 (cos.f64 eps) (+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) 1)))) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(cos.f64 x) |
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))) |
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)))) |
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x)) |
(*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))) |
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps))))) |
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x))) |
(*.f64 (cos.f64 x) (+.f64 (*.f64 eps (*.f64 eps -1/2)) (fma.f64 1/24 (pow.f64 eps 4) 1))) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))))) |
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (+.f64 (cos.f64 x) (fma.f64 -1/720 (*.f64 (cos.f64 x) (pow.f64 eps 6)) (*.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)))))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 -1/720 (pow.f64 eps 6)))) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) 1) (cos.f64 x))) |
(fma.f64 (cos.f64 x) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 eps (*.f64 eps -1/2))) (*.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) 1))) |
(*.f64 (cos.f64 x) (+.f64 (fma.f64 1/24 (pow.f64 eps 4) 1) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 eps (*.f64 eps -1/2))))) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(cos.f64 eps) |
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) |
(+.f64 (cos.f64 eps) (neg.f64 (*.f64 x (sin.f64 eps)))) |
(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps))))) |
(+.f64 (cos.f64 eps) (fma.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)) (neg.f64 (*.f64 x (sin.f64 eps))))) |
(-.f64 (fma.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)) (cos.f64 eps)) (*.f64 x (sin.f64 eps))) |
(+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (*.f64 (cos.f64 eps) -1/2)) (sin.f64 eps)))) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps)))))) |
(+.f64 (cos.f64 eps) (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)) (neg.f64 (*.f64 x (sin.f64 eps)))))) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (cos.f64 eps) (*.f64 (*.f64 x x) -1/2)) (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))) |
(+.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) (-.f64 (*.f64 1/6 (pow.f64 x 3)) x) (*.f64 (cos.f64 eps) (*.f64 x (*.f64 x -1/2))))) |
(-.f64 (fma.f64 (cos.f64 eps) (*.f64 x (*.f64 x -1/2)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (fma.f64 (pow.f64 x 3) -1/6 x))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) |
(cos.f64 x) |
(+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x)))) |
(+.f64 (cos.f64 x) (neg.f64 (*.f64 eps (sin.f64 x)))) |
(-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) |
(fma.f64 (sin.f64 x) (neg.f64 eps) (cos.f64 x)) |
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))) |
(+.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (neg.f64 (*.f64 eps (sin.f64 x))))) |
(-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x))) |
(fma.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 eps))) |
(fma.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1) (*.f64 (sin.f64 x) (neg.f64 eps))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (+.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (neg.f64 (*.f64 eps (sin.f64 x)))))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x)))) |
(fma.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3))))) |
(fma.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) |
17 alts after pruning (15 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 204 | 1 | 205 |
| Fresh | 1 | 14 | 15 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 205 | 17 | 222 |
| Status | Error | Program |
|---|---|---|
| 23.2b | (-.f64 (+.f64 (log.f64 (pow.f64 (exp.f64 (cos.f64 eps)) (cos.f64 x))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x)) | |
| 33.8b | (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))) | |
| 23.4b | (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 3))) | |
| 23.3b | (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) | |
| 31.3b | (*.f64 -2 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3))) | |
| 23.2b | (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2)) (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) | |
| 28.2b | (fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) | |
| 28.5b | (*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 3))) | |
| 26.9b | (*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))))))) | |
| 32.8b | (fma.f64 (cos.f64 x) (*.f64 1/24 (pow.f64 eps 4)) (fma.f64 eps (*.f64 (*.f64 eps (cos.f64 x)) -1/2) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))) | |
| 28.6b | (*.f64 -2 (exp.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) | |
| 33.8b | (*.f64 -2 (log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) | |
| 24.7b | (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) 1))) | |
| 28.2b | (*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 eps)))))) | |
| ✓ | 22.9b | (-.f64 (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x)) |
| ✓ | 22.9b | (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
| 32.3b | (*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))) |
Compiled 4235 to 1516 computations (64.2% saved)
Total -57.0b remaining (-11575.1%)
Threshold costs -57.0b (-11575.1%)
Compiled 2225 to 896 computations (59.7% saved)
| 2× | binary-search |
2 calls:
| 63.0ms | eps |
| 60.0ms | eps |
| Iters | Point | Range | ||||
|---|---|---|---|---|---|---|
0.0004056680490046788 | ∈ [ | 0.0004056680490046788 | , | 23326852222.244297 | ] | |
-0.007338856069565484 | ∈ [ | -0.007338856069565484 | , | -0.0009980582434365641 | ] | |
Compiled 13 to 9 computations (30.8% saved)
| 1× | egg-herbie |
| 13× | *-commutative_binary64 |
| 9× | +-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 97 |
| 1 | 58 | 97 |
| 2 | 75 | 97 |
| 3 | 86 | 97 |
| 4 | 91 | 97 |
| 5 | 92 | 97 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 eps -135377999709064464/18446744073709551616) (-.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x)) (if (<=.f64 eps 7483254678870375/18446744073709551616) (fma.f64 (cos.f64 x) (*.f64 1/24 (pow.f64 eps 4)) (fma.f64 eps (*.f64 (*.f64 eps (cos.f64 x)) -1/2) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))))) |
| Outputs |
|---|
(if (<=.f64 eps -135377999709064464/18446744073709551616) (-.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x)) (if (<=.f64 eps 7483254678870375/18446744073709551616) (fma.f64 (cos.f64 x) (*.f64 1/24 (pow.f64 eps 4)) (fma.f64 eps (*.f64 (*.f64 eps (cos.f64 x)) -1/2) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))))) |
(if (<=.f64 eps -8461124981816529/1152921504606846976) (-.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x)) (if (<=.f64 eps 7483254678870375/18446744073709551616) (fma.f64 (cos.f64 x) (*.f64 1/24 (pow.f64 eps 4)) (fma.f64 eps (*.f64 (*.f64 eps (cos.f64 x)) -1/2) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))))) |
(if (<=.f64 eps -8461124981816529/1152921504606846976) (-.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x)) (if (<=.f64 eps 7483254678870375/18446744073709551616) (fma.f64 (cos.f64 x) (*.f64 1/24 (pow.f64 eps 4)) (fma.f64 eps (*.f64 (*.f64 eps (cos.f64 x)) -1/2) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))) (fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))))) |
| 1× | fuel |
Compiled 442 to 213 computations (51.8% saved)
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