Time bar (total: 14.5s)
| 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)
| 1.9s | 3927× | body | 1024 | valid |
| 1.9s | 2119× | body | 2048 | valid |
| 509.0ms | 1387× | body | 512 | valid |
| 125.0ms | 821× | body | 256 | valid |
| 3.0ms | 2× | 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 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
| 39× | fma-def_binary64 |
| 32× | fma-neg_binary64 |
| 15× | cancel-sign-sub-inv_binary64 |
| 12× | sub-neg_binary64 |
| 10× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 10 | 11 |
| 2 | 15 | 11 |
| 3 | 22 | 11 |
| 4 | 31 | 11 |
| 5 | 48 | 11 |
| 6 | 86 | 11 |
| 7 | 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)) |
Compiled 9 to 6 computations (33.3% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 40.8b | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 9 to 6 computations (33.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 3.6b | (cos.f64 (+.f64 x eps)) | |
| 0.9b | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) | |
| ✓ | 0.9b | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| ✓ | 3.6b | (cos.f64 (+.f64 x eps)) |
Compiled 20 to 6 computations (70% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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)) |
| 0.0ms | eps | @ | 0 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 0.0ms | x | @ | 0 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 1× | batch-egg-rewrite |
| 586× | unpow-prod-down_binary64 |
| 457× | fma-def_binary64 |
| 445× | log-prod_binary64 |
| 271× | pow-prod-down_binary64 |
| 266× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 174 | 17 |
| 2 | 2754 | 17 |
| 1× | node limit |
| Inputs |
|---|
(cos.f64 (+.f64 x eps)) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Outputs |
|---|
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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 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 2)) (log.f64 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(cos.f64 (+.f64 x eps)) 2))) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 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 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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))) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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))) (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 (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))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) 2) (cbrt.f64 (neg.f64 (cos.f64 x))) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<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 expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))) |
| 1× | egg-herbie |
| 813× | fma-neg_binary64 |
| 488× | neg-sub0_binary64 |
| 459× | neg-mul-1_binary64 |
| 395× | fma-def_binary64 |
| 358× | associate-+l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 630 |
| 1 | 191 | 612 |
| 2 | 512 | 583 |
| 3 | 2206 | 567 |
| 4 | 7366 | 567 |
| 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)) |
| 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 (*.f64 x x) -1/2))) |
(+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) x)) (sin.f64 eps)))) |
(+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 (cos.f64 eps) (*.f64 x -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)) (*.f64 (neg.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 (*.f64 (cos.f64 eps) x) (*.f64 x -1/2)))) |
(fma.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (cos.f64 eps) (*.f64 (sin.f64 eps) (-.f64 (*.f64 1/6 (pow.f64 x 3)) 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))) |
(fma.f64 eps (neg.f64 (sin.f64 x)) (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)) (*.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)))) |
(-.f64 (*.f64 (cos.f64 x) (fma.f64 (*.f64 eps -1/2) eps 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)))))) |
(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 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3))))) |
(fma.f64 (cos.f64 x) (fma.f64 (*.f64 eps -1/2) 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 (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 x x) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)))) 1)) |
(+.f64 -1 (+.f64 (cos.f64 eps) (fma.f64 (*.f64 x x) (fma.f64 (cos.f64 eps) -1/2 1/2) (*.f64 (sin.f64 eps) (neg.f64 x))))) |
(+.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 (-.f64 (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2)) (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) (-.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 (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 (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)) (*.f64 (neg.f64 eps) (sin.f64 x))) |
(-.f64 (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))) (*.f64 eps (sin.f64 x))) |
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))) (*.f64 eps (neg.f64 (sin.f64 x)))) |
(*.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)) (*.f64 (neg.f64 eps) (sin.f64 x)))) |
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))))) (*.f64 eps (sin.f64 x))) |
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3))))) |
(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)) (*.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 eps (*.f64 eps (cos.f64 x))))) (*.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 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3)))))) |
(+.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 (cos.f64 x) (+.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 1/24 (pow.f64 eps 4))))) |
(-.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)) |
Compiled 3964 to 1205 computations (69.6% saved)
39 alts after pruning (38 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 181 | 38 | 219 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 181 | 39 | 220 |
| Status | Error | Program |
|---|---|---|
| 48.5b | (fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x))) | |
| 55.4b | (-.f64 (cos.f64 x) (cos.f64 x)) | |
| 40.8b | (log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) | |
| 41.0b | (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3) | |
| 15.5b | (*.f64 (pow.f64 (cbrt.f64 -2) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) | |
| 26.6b | (fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) | |
| ▶ | 42.2b | (-.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) |
| 26.6b | (-.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x)) | |
| ✓ | 40.8b | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 41.6b | (-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1) | |
| 41.9b | (-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x)) | |
| 41.3b | (fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x))))) | |
| 41.0b | (-.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x)) | |
| ▶ | 40.6b | (-.f64 (cos.f64 eps) 1) |
| 41.3b | (fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) | |
| 29.2b | (fma.f64 eps (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps))) | |
| 40.5b | (-.f64 (cos.f64 eps) (cos.f64 x)) | |
| 40.9b | (log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (cos.f64 x))))) | |
| ▶ | 40.9b | (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) |
| ▶ | 14.1b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) |
| 45.7b | (-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x)) | |
| 27.3b | (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x))))) | |
| 41.0b | (log.f64 (/.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (cos.f64 x)))) | |
| 48.8b | (*.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)))) | |
| 28.9b | (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) | |
| 27.3b | (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) | |
| 26.6b | (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x))))) | |
| 40.9b | (-.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1) (cos.f64 x)) | |
| 28.9b | (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))) | |
| ▶ | 40.8b | (log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) |
| 26.9b | (-.f64 (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)))) (cos.f64 x)) | |
| 41.0b | (-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x)) | |
| 26.6b | (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) | |
| 35.8b | (*.f64 (sin.f64 x) (neg.f64 eps)) | |
| 47.2b | (expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) | |
| 26.8b | (-.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))) (cos.f64 x)) | |
| 27.2b | (-.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x)) | |
| 42.4b | (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 (cos.f64 eps) (*.f64 x -1/2)) (sin.f64 eps)))) (cos.f64 x)) | |
| 54.8b | (sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2)) |
Compiled 1307 to 826 computations (36.8% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 3.5b | (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) | |
| 0.3b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) | |
| 0.2b | (*.f64 (+.f64 x (+.f64 x eps)) 1/2) | |
| 0.0b | (+.f64 x (+.f64 x eps)) | |
| ✓ | 0.0b | (+.f64 x (+.f64 x eps)) |
| ✓ | 0.2b | (*.f64 (+.f64 x (+.f64 x eps)) 1/2) |
| ✓ | 0.3b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) |
| ✓ | 3.5b | (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) |
Compiled 81 to 32 computations (60.5% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (*.f64 (*.f64 -2 (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 (*.f64 -2 (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 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) |
| 1.0ms | eps | @ | -inf | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) |
| 1.0ms | eps | @ | inf | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) |
| 1× | batch-egg-rewrite |
| 553× | log-prod_binary64 |
| 537× | fma-def_binary64 |
| 255× | fma-neg_binary64 |
| 215× | expm1-udef_binary64 |
| 215× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 55 |
| 1 | 345 | 23 |
| 2 | 4845 | 23 |
| 1× | node limit |
| Inputs |
|---|
(sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) |
(*.f64 (+.f64 x (+.f64 x eps)) 1/2) |
(+.f64 x (+.f64 x eps)) |
| Outputs |
|---|
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(2) ((x hypot.f64 (sqrt.f64 (*.f64 (+.f64 x eps) eps)) (*.f64 (sqrt.f64 x) (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (*.f64 (+.f64 x eps) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 eps)) (sqrt.f64 (*.f64 (+.f64 x eps) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (-.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps 1 (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps 1 (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps 1 (neg.f64 (/.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x eps) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x eps) 1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (-.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 eps 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 eps (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 eps (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 eps (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 eps (neg.f64 (/.f64 0 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 (*.f64 eps eps) (/.f64 1 eps) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps eps) (/.f64 1 eps) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps eps) (/.f64 1 eps) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps eps) (/.f64 1 eps) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps eps) (/.f64 1 eps) (neg.f64 (/.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 eps) (cbrt.f64 (*.f64 eps eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 eps) (cbrt.f64 (*.f64 eps eps)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 eps) (cbrt.f64 (*.f64 eps eps)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 eps) (cbrt.f64 (*.f64 eps eps)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 eps) (cbrt.f64 (*.f64 eps eps)) (neg.f64 (/.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 eps) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 eps) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 eps) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 eps) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 eps) (neg.f64 (/.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (-.f64 eps x))))) (#(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 x) 2) (cbrt.f64 x) (-.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) (neg.f64 x))))) (#(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 eps) (sqrt.f64 eps) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (neg.f64 (/.f64 0 eps)))))) (#(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 x) (sqrt.f64 x) (-.f64 eps x))))) (#(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 fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (/.f64 1 (fma.f64 (+.f64 x eps) eps (*.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (/.f64 1 (fma.f64 (+.f64 x eps) eps (*.f64 x x))) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (/.f64 1 (fma.f64 (+.f64 x eps) eps (*.f64 x x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (/.f64 1 (fma.f64 (+.f64 x eps) eps (*.f64 x x))) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (/.f64 1 (fma.f64 (+.f64 x eps) eps (*.f64 x x))) (neg.f64 (/.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps 3) (/.f64 1 (*.f64 eps eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps 3) (/.f64 1 (*.f64 eps eps)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps 3) (/.f64 1 (*.f64 eps eps)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps 3) (/.f64 1 (*.f64 eps eps)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps 3) (/.f64 1 (*.f64 eps eps)) (neg.f64 (/.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (/.f64 1 (fma.f64 x x (*.f64 eps (-.f64 eps x)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (/.f64 1 (fma.f64 x x (*.f64 eps (-.f64 eps x)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (-.f64 0 eps)) (/.f64 1 (-.f64 0 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (-.f64 0 eps)) (/.f64 1 (-.f64 0 eps)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (-.f64 0 eps)) (/.f64 1 (-.f64 0 eps)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (-.f64 0 eps)) (/.f64 1 (-.f64 0 eps)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (-.f64 0 eps)) (/.f64 1 (-.f64 0 eps)) (neg.f64 (/.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (/.f64 1 (-.f64 x eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (/.f64 1 (-.f64 x eps)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 x)) (neg.f64 (/.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 eps)))))) |
| 1× | egg-herbie |
| 604× | neg-mul-1_binary64 |
| 523× | fma-def_binary64 |
| 435× | associate-*l*_binary64 |
| 426× | associate-*r*_binary64 |
| 404× | distribute-rgt-neg-out_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 1153 |
| 1 | 275 | 1128 |
| 2 | 772 | 992 |
| 3 | 3088 | 978 |
| 4 | 7613 | 978 |
| 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 (*.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 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x))))))) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x)))))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))) |
(+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2)) (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))))) |
(+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2)) (+.f64 (*.f64 1/3 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)))) (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) |
(*.f64 1/2 eps) |
(+.f64 (*.f64 1/2 eps) x) |
(+.f64 (*.f64 1/2 eps) x) |
(+.f64 (*.f64 1/2 eps) x) |
x |
(+.f64 (*.f64 1/2 eps) x) |
(+.f64 (*.f64 1/2 eps) x) |
(+.f64 (*.f64 1/2 eps) x) |
x |
(+.f64 (*.f64 1/2 eps) x) |
(+.f64 (*.f64 1/2 eps) x) |
(+.f64 (*.f64 1/2 eps) x) |
x |
(+.f64 (*.f64 1/2 eps) x) |
(+.f64 (*.f64 1/2 eps) x) |
(+.f64 (*.f64 1/2 eps) x) |
(*.f64 1/2 eps) |
(+.f64 (*.f64 1/2 eps) x) |
(+.f64 (*.f64 1/2 eps) x) |
(+.f64 (*.f64 1/2 eps) x) |
(*.f64 1/2 eps) |
(+.f64 (*.f64 1/2 eps) x) |
(+.f64 (*.f64 1/2 eps) x) |
(+.f64 (*.f64 1/2 eps) x) |
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 -1/2 (*.f64 (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 x (*.f64 x -1/2)) 1) (sin.f64 (*.f64 1/2 eps)))) |
(fma.f64 (cos.f64 (*.f64 1/2 eps)) x (*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (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 -1/2 (*.f64 (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 -1/6 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)))) (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 (cos.f64 (*.f64 1/2 eps)) (*.f64 -1/6 (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) 1) (sin.f64 (*.f64 1/2 eps))))) |
(+.f64 (*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (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 (sin.f64 x) (*.f64 eps (*.f64 eps -1/8)) (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 (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 (*.f64 eps (sin.f64 x))) |
(*.f64 (neg.f64 eps) (sin.f64 x)) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(*.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))) |
(-.f64 (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))) (*.f64 eps (sin.f64 x))) |
(-.f64 (*.f64 eps (*.f64 eps (*.f64 -1/2 (cos.f64 x)))) (*.f64 eps (sin.f64 x))) |
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x))))))) |
(fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (fma.f64 -1 (*.f64 eps (sin.f64 x)) (*.f64 (*.f64 -2 (pow.f64 eps 3)) (*.f64 (sin.f64 x) -1/12)))) |
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))) (-.f64 (*.f64 -2 (*.f64 (sin.f64 x) (*.f64 -1/12 (pow.f64 eps 3)))) (*.f64 eps (sin.f64 x)))) |
(-.f64 (fma.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))) (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) 1/6))) (*.f64 eps (sin.f64 x))) |
(-.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) 1/6) (*.f64 eps (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x)))) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x)))))))) |
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (fma.f64 -1 (*.f64 eps (sin.f64 x)) (*.f64 (*.f64 -2 (pow.f64 eps 3)) (*.f64 (sin.f64 x) -1/12))))) |
(+.f64 (-.f64 (*.f64 -2 (*.f64 (sin.f64 x) (*.f64 -1/12 (pow.f64 eps 3)))) (*.f64 eps (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 (*.f64 -1/2 eps) eps)))) |
(fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2))) (-.f64 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) 1/6)) (*.f64 eps (sin.f64 x)))) |
(fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2))) (*.f64 (sin.f64 x) (-.f64 (*.f64 (*.f64 -2 (pow.f64 eps 3)) -1/12) eps))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))) |
(*.f64 -2 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps))) -2)) |
(+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2)) (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))))) |
(fma.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 x x) (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))))) |
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) -2)) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (+.f64 -2 (*.f64 x x)))) |
(fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (+.f64 (*.f64 x x) -2) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) -2))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x x) -2)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x -2)))) |
(+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2)) (+.f64 (*.f64 1/3 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)))) (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))))) |
(fma.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 x x) (fma.f64 1/3 (*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) (pow.f64 x 3)) (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))))) |
(+.f64 (fma.f64 -2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (sin.f64 (*.f64 1/2 eps)))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)) 1/3))) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (+.f64 -2 (*.f64 x x)))) |
(fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (+.f64 (*.f64 x x) -2) (*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) (+.f64 (*.f64 x -2) (*.f64 (pow.f64 x 3) 1/3)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (+.f64 (*.f64 1/3 (*.f64 x x)) -2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x x) -2)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))) |
(*.f64 1/2 eps) |
(+.f64 (*.f64 1/2 eps) x) |
(fma.f64 1/2 eps x) |
(+.f64 (*.f64 1/2 eps) x) |
(fma.f64 1/2 eps x) |
(+.f64 (*.f64 1/2 eps) x) |
(fma.f64 1/2 eps x) |
x |
(+.f64 (*.f64 1/2 eps) x) |
(fma.f64 1/2 eps x) |
(+.f64 (*.f64 1/2 eps) x) |
(fma.f64 1/2 eps x) |
(+.f64 (*.f64 1/2 eps) x) |
(fma.f64 1/2 eps x) |
x |
(+.f64 (*.f64 1/2 eps) x) |
(fma.f64 1/2 eps x) |
(+.f64 (*.f64 1/2 eps) x) |
(fma.f64 1/2 eps x) |
(+.f64 (*.f64 1/2 eps) x) |
(fma.f64 1/2 eps x) |
x |
(+.f64 (*.f64 1/2 eps) x) |
(fma.f64 1/2 eps x) |
(+.f64 (*.f64 1/2 eps) x) |
(fma.f64 1/2 eps x) |
(+.f64 (*.f64 1/2 eps) x) |
(fma.f64 1/2 eps x) |
(*.f64 1/2 eps) |
(+.f64 (*.f64 1/2 eps) x) |
(fma.f64 1/2 eps x) |
(+.f64 (*.f64 1/2 eps) x) |
(fma.f64 1/2 eps x) |
(+.f64 (*.f64 1/2 eps) x) |
(fma.f64 1/2 eps x) |
(*.f64 1/2 eps) |
(+.f64 (*.f64 1/2 eps) x) |
(fma.f64 1/2 eps x) |
(+.f64 (*.f64 1/2 eps) x) |
(fma.f64 1/2 eps x) |
(+.f64 (*.f64 1/2 eps) x) |
(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) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.9b | (-.f64 (cos.f64 eps) 1) | |
| 0.0b | (cos.f64 eps) | |
| ✓ | 0.0b | (cos.f64 eps) |
| ✓ | 1.9b | (-.f64 (cos.f64 eps) 1) |
Compiled 10 to 6 computations (40% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | 0 | (-.f64 (cos.f64 eps) 1) |
| 0.0ms | eps | @ | inf | (-.f64 (cos.f64 eps) 1) |
| 0.0ms | eps | @ | -inf | (-.f64 (cos.f64 eps) 1) |
| 0.0ms | eps | @ | 0 | (cos.f64 eps) |
| 0.0ms | eps | @ | inf | (cos.f64 eps) |
| 1× | batch-egg-rewrite |
| 498× | pow1_binary64 |
| 485× | add-sqr-sqrt_binary64 |
| 464× | add-log-exp_binary64 |
| 463× | log1p-expm1-u_binary64 |
| 463× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 9 |
| 1 | 104 | 9 |
| 2 | 1281 | 9 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (cos.f64 eps) 1) |
(cos.f64 eps) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (+.f64 (pow.f64 (cos.f64 eps) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1)) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (neg.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (cos.f64 eps))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 eps) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (*.f64 (cbrt.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 eps)) (*.f64 (sqrt.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 eps))))))) |
| 1× | egg-herbie |
| 604× | distribute-rgt-out_binary64 |
| 558× | associate-+l+_binary64 |
| 477× | distribute-lft-out_binary64 |
| 468× | associate-+r+_binary64 |
| 438× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 118 |
| 1 | 75 | 116 |
| 2 | 170 | 116 |
| 3 | 531 | 116 |
| 4 | 2069 | 116 |
| 5 | 4448 | 116 |
| 6 | 4826 | 116 |
| 7 | 5332 | 116 |
| 8 | 6382 | 116 |
| 9 | 7458 | 116 |
| 10 | 7893 | 116 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 (pow.f64 eps 2)) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/40320 (pow.f64 eps 8))))) |
1 |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6))))) |
| Outputs |
|---|
(*.f64 -1/2 (pow.f64 eps 2)) |
(*.f64 -1/2 (*.f64 eps eps)) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) |
(fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps))) |
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) |
(*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) 1/24 -1/2))) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2)) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) |
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 -1/720 (pow.f64 eps 6)))) |
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 1/24 (pow.f64 eps 4)))) |
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/720 (pow.f64 eps 6)))) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/40320 (pow.f64 eps 8))))) |
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 1/40320 (pow.f64 eps 8))))) |
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/40320 (pow.f64 eps 8))))) |
(fma.f64 (pow.f64 eps 4) (fma.f64 (pow.f64 eps 4) 1/40320 1/24) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 -1/2 (*.f64 eps eps)))) |
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 1/40320 (pow.f64 eps 8))))) |
1 |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1) |
(fma.f64 -1/2 (*.f64 eps eps) 1) |
(fma.f64 eps (*.f64 -1/2 eps) 1) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) |
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) 1)) |
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) 1)) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6))))) |
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) 1))) |
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) 1))) |
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) 1))) |
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) 1/24 -1/2) (fma.f64 -1/720 (pow.f64 eps 6) 1)) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2) (fma.f64 -1/720 (pow.f64 eps 6) 1)) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 3.6b | (cos.f64 (+.f64 x eps)) | |
| 1.0b | (log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) | |
| 0.9b | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) | |
| 0.1b | (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) | |
| ✓ | 0.1b | (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) |
| 0.9b | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) | |
| ✓ | 1.0b | (log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) |
| 3.6b | (cos.f64 (+.f64 x eps)) |
Compiled 37 to 8 computations (78.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) |
| 1.0ms | eps | @ | 0 | (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) |
| 0.0ms | x | @ | 0 | (log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) |
| 0.0ms | x | @ | inf | (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) |
| 0.0ms | x | @ | -inf | (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) |
| 1× | batch-egg-rewrite |
| 483× | log-prod_binary64 |
| 468× | fma-def_binary64 |
| 301× | pow-prod-down_binary64 |
| 286× | pow2_binary64 |
| 244× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 24 |
| 1 | 198 | 24 |
| 2 | 2953 | 24 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) |
(exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) |
| Outputs |
|---|
((#(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)) 0)))) (#(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 (*.f64 1/3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (*.f64 2 (*.f64 1/3 (-.f64 (cos.f64 (+.f64 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#<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))))))) (#(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 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(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 (*.f64 -2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (-.f64 (pow.f64 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eps)) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.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))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (exp.f64 (cos.f64 x)) (exp.f64 (cos.f64 (+.f64 x eps))))))))) (#(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 cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))))) (#(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 exp.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (+.f64 x eps)) 1 (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (+.f64 x eps)) 1 (*.f64 (neg.f64 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))))) 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(cos.f64 (+.f64 x eps)) 2)))) (pow.f64 (exp.f64 1) (/.f64 (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 1) (/.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (pow.f64 (exp.f64 1) (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.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 pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)) (*.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.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 pow.f64 (exp.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (*.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -2) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -2) (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 (cos.f64 x)) (exp.f64 (cos.f64 (+.f64 x eps)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) 1) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)) 1) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)) (cbrt.f64 -2)) (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (sqrt.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 1) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (sqrt.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (sqrt.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (sqrt.f64 -2)) (sqrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (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 pow.f64 (pow.f64 (exp.f64 1) (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 pow.f64 (pow.f64 (exp.f64 1) (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 pow.f64 (pow.f64 (exp.f64 1) -2) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (-.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))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (+.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 pow.f64 (pow.f64 (exp.f64 1) (*.f64 -2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)))) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 -2) 1) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 -2) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 -2) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 -2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) 2)) (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 -2) (sqrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))) (sqrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.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 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))))) |
| 1× | egg-herbie |
| 683× | fma-def_binary64 |
| 587× | distribute-rgt-out_binary64 |
| 576× | associate-*r*_binary64 |
| 544× | associate-*l*_binary64 |
| 308× | unsub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 906 |
| 1 | 320 | 883 |
| 2 | 994 | 820 |
| 3 | 5533 | 803 |
| 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 (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)) |
(exp.f64 (-.f64 (cos.f64 eps) 1)) |
(+.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (*.f64 -1 (*.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) x)))) |
(+.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) x))) (*.f64 (+.f64 1/2 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps)))) (*.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (pow.f64 x 2))))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))) (+.f64 (*.f64 1/6 (sin.f64 eps)) (*.f64 -1/6 (pow.f64 (sin.f64 eps) 3)))) (*.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (pow.f64 x 3))) (+.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) x))) (*.f64 (+.f64 1/2 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps)))) (*.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (pow.f64 x 2)))))) |
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(exp.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))) |
(exp.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))) |
(exp.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))) |
(exp.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))) |
1 |
(+.f64 1 (*.f64 -1 (*.f64 eps (sin.f64 x)))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x)))))) |
(+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 x) 3)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (sin.f64 x))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x))))))) |
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(exp.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))) |
(exp.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))) |
(exp.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))) |
(exp.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))) |
| 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 (*.f64 (neg.f64 x) (sin.f64 eps)) 1)) |
(+.f64 (cos.f64 eps) (fma.f64 (neg.f64 x) (sin.f64 eps) -1)) |
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps))) |
(-.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 (+.f64 (cos.f64 eps) -1) (*.f64 x (-.f64 (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2)) (sin.f64 eps)))) |
(-.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 x (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2))) (*.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) (fma.f64 1/6 (pow.f64 x 3) (neg.f64 x)) (fma.f64 x (*.f64 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 (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)) (*.f64 (neg.f64 eps) (sin.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 eps (sin.f64 x))) |
(*.f64 eps (-.f64 (*.f64 eps (*.f64 -1/2 (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)) (*.f64 (neg.f64 eps) (sin.f64 x)))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 eps (sin.f64 x)))) |
(fma.f64 eps (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) |
(fma.f64 eps (*.f64 eps (*.f64 -1/2 (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)) (*.f64 (neg.f64 eps) (sin.f64 x))))) |
(fma.f64 (*.f64 1/24 (pow.f64 eps 4)) (cos.f64 x) (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 eps (sin.f64 x))))) |
(fma.f64 (cos.f64 x) (*.f64 1/24 (pow.f64 eps 4)) (fma.f64 eps (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))) |
(+.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (+.f64 -1/2 (*.f64 (*.f64 eps eps) 1/24)))) |
(-.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)) |
(exp.f64 (-.f64 (cos.f64 eps) 1)) |
(exp.f64 (+.f64 (cos.f64 eps) -1)) |
(+.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (*.f64 -1 (*.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) x)))) |
(+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (neg.f64 (*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (*.f64 x (sin.f64 eps))))) |
(-.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (*.f64 x (*.f64 (sin.f64 eps) (exp.f64 (+.f64 (cos.f64 eps) -1))))) |
(*.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) 1) (exp.f64 (+.f64 (cos.f64 eps) -1))) |
(+.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) x))) (*.f64 (+.f64 1/2 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps)))) (*.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (pow.f64 x 2))))) |
(+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (fma.f64 -1 (*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 eps) -1/2))) (*.f64 (*.f64 x x) (exp.f64 (+.f64 (cos.f64 eps) -1)))))) |
(+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (-.f64 (*.f64 (*.f64 x x) (*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (+.f64 1/2 (fma.f64 (cos.f64 eps) -1/2 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)))))) (*.f64 x (*.f64 (sin.f64 eps) (exp.f64 (+.f64 (cos.f64 eps) -1)))))) |
(+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (-.f64 (*.f64 x (*.f64 x (fma.f64 (cos.f64 eps) -1/2 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) 1/2)))) (*.f64 x (sin.f64 eps))))) |
(*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (-.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 (cos.f64 eps) -1/2 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) 1/2))) 1) (*.f64 x (sin.f64 eps)))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))) (+.f64 (*.f64 1/6 (sin.f64 eps)) (*.f64 -1/6 (pow.f64 (sin.f64 eps) 3)))) (*.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (pow.f64 x 3))) (+.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) x))) (*.f64 (+.f64 1/2 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps)))) (*.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (pow.f64 x 2)))))) |
(fma.f64 (fma.f64 -1 (*.f64 (sin.f64 eps) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (fma.f64 1/6 (sin.f64 eps) (*.f64 -1/6 (pow.f64 (sin.f64 eps) 3)))) (*.f64 (pow.f64 x 3) (exp.f64 (+.f64 (cos.f64 eps) -1))) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (fma.f64 -1 (*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 eps) -1/2))) (*.f64 (*.f64 x x) (exp.f64 (+.f64 (cos.f64 eps) -1))))))) |
(+.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (+.f64 1/2 (fma.f64 (cos.f64 eps) -1/2 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)))))) (*.f64 x (*.f64 (sin.f64 eps) (exp.f64 (+.f64 (cos.f64 eps) -1))))) (fma.f64 (-.f64 (fma.f64 (sin.f64 eps) 1/6 (*.f64 -1/6 (pow.f64 (sin.f64 eps) 3))) (*.f64 (sin.f64 eps) (fma.f64 (cos.f64 eps) -1/2 1/2))) (*.f64 (pow.f64 x 3) (exp.f64 (+.f64 (cos.f64 eps) -1))) (exp.f64 (+.f64 (cos.f64 eps) -1)))) |
(+.f64 (*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (-.f64 (*.f64 x (*.f64 x (fma.f64 (cos.f64 eps) -1/2 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) 1/2)))) (*.f64 x (sin.f64 eps)))) (*.f64 (+.f64 (*.f64 (pow.f64 x 3) (fma.f64 -1/6 (pow.f64 (sin.f64 eps) 3) (*.f64 (sin.f64 eps) (+.f64 1/6 (neg.f64 (fma.f64 (cos.f64 eps) -1/2 1/2)))))) 1) (exp.f64 (+.f64 (cos.f64 eps) -1)))) |
(+.f64 (*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (*.f64 x (-.f64 (*.f64 (fma.f64 (cos.f64 eps) -1/2 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) 1/2)) x) (sin.f64 eps)))) (*.f64 (+.f64 (*.f64 (pow.f64 x 3) (fma.f64 -1/6 (pow.f64 (sin.f64 eps) 3) (*.f64 (sin.f64 eps) (-.f64 1/6 (fma.f64 (cos.f64 eps) -1/2 1/2))))) 1) (exp.f64 (+.f64 (cos.f64 eps) -1)))) |
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(exp.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))) |
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(exp.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))) |
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(exp.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))) |
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(exp.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))) |
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
1 |
(+.f64 1 (*.f64 -1 (*.f64 eps (sin.f64 x)))) |
(+.f64 1 (*.f64 (neg.f64 eps) (sin.f64 x))) |
(-.f64 1 (*.f64 eps (sin.f64 x))) |
(fma.f64 (sin.f64 x) (neg.f64 eps) 1) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x)))))) |
(+.f64 1 (fma.f64 -1 (*.f64 eps (sin.f64 x)) (*.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x)))))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x)))) (*.f64 eps (sin.f64 x)))) |
(+.f64 1 (*.f64 eps (-.f64 (*.f64 eps (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x)))) |
(+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 x) 3)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (sin.f64 x))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x))))))) |
(fma.f64 (pow.f64 eps 3) (fma.f64 -1/6 (pow.f64 (sin.f64 x) 3) (fma.f64 1/2 (*.f64 (cos.f64 x) (sin.f64 x)) (*.f64 1/6 (sin.f64 x)))) (+.f64 1 (fma.f64 -1 (*.f64 eps (sin.f64 x)) (*.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x))))))) |
(+.f64 (-.f64 (*.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x)))) (*.f64 eps (sin.f64 x))) (fma.f64 (pow.f64 eps 3) (fma.f64 -1/6 (pow.f64 (sin.f64 x) 3) (*.f64 (sin.f64 x) (+.f64 1/6 (*.f64 1/2 (cos.f64 x))))) 1)) |
(+.f64 1 (fma.f64 (pow.f64 eps 3) (fma.f64 (sin.f64 x) (fma.f64 1/2 (cos.f64 x) 1/6) (*.f64 -1/6 (pow.f64 (sin.f64 x) 3))) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x))))) |
(+.f64 (*.f64 eps (-.f64 (*.f64 eps (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x))) (fma.f64 (pow.f64 eps 3) (fma.f64 (sin.f64 x) (fma.f64 1/2 (cos.f64 x) 1/6) (*.f64 -1/6 (pow.f64 (sin.f64 x) 3))) 1)) |
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(exp.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))) |
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(exp.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))) |
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(exp.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))) |
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(exp.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))) |
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.7b | (-.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) | |
| 0.1b | (*.f64 x (sin.f64 eps)) | |
| 0.0b | (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) | |
| 0.0b | (cos.f64 eps) | |
| ✓ | 0.1b | (*.f64 x (sin.f64 eps)) |
| ✓ | 1.7b | (-.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) |
| ✓ | 1.9b | (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) |
| ✓ | 8.0b | (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
Compiled 105 to 61 computations (41.9% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | 0 | (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
| 3.0ms | eps | @ | -inf | (-.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) |
| 1.0ms | eps | @ | inf | (-.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) |
| 1.0ms | eps | @ | inf | (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
| 1.0ms | x | @ | 0 | (*.f64 x (sin.f64 eps)) |
| 1× | batch-egg-rewrite |
| 538× | fma-neg_binary64 |
| 331× | log1p-udef_binary64 |
| 330× | expm1-udef_binary64 |
| 259× | log-pow_binary64 |
| 210× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 62 |
| 1 | 419 | 53 |
| 2 | 5636 | 53 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) |
(-.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 x (sin.f64 eps)) |
| Outputs |
|---|
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eps) -1)))) (-.f64 (cos.f64 eps) (+.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) (fma.f64 x (sin.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (+.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (+.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (+.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (+.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (cos.f64 eps))) (exp.f64 (+.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) (fma.f64 x (sin.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) (fma.f64 x (sin.f64 eps) -1))) (exp.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) (fma.f64 x (sin.f64 eps) -1))) (+.f64 1 (expm1.f64 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 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egg-rr> (2) ((x fma.f64 1 (+.f64 (cos.f64 eps) (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x) (*.f64 x (sin.f64 eps)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (cos.f64 eps) (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x) (*.f64 x (sin.f64 eps))))) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x) (*.f64 x (sin.f64 eps))))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x) (*.f64 x (sin.f64 eps))))) 2) (cbrt.f64 (+.f64 (cos.f64 eps) (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x) (*.f64 x (sin.f64 eps))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x) (*.f64 x (sin.f64 eps))))) 2) (*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x) (*.f64 x (sin.f64 eps))))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 2)) (cbrt.f64 (cos.f64 eps)) (+.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) (fma.f64 x (sin.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (cos.f64 eps) (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x) (*.f64 x (sin.f64 eps))))) (sqrt.f64 (+.f64 (cos.f64 eps) (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x) (*.f64 x (sin.f64 eps))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (cos.f64 eps) (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x) (*.f64 x (sin.f64 eps))))) (*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x) (*.f64 x (sin.f64 eps))))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) (+.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) (fma.f64 x (sin.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x) (*.f64 x (sin.f64 eps))) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x) (*.f64 x (sin.f64 eps))) (-.f64 (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x) (*.f64 x (sin.f64 eps))) (cos.f64 eps))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x) (*.f64 x (sin.f64 eps))) 2)) (/.f64 1 (-.f64 (cos.f64 eps) (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x) (*.f64 x (sin.f64 eps))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (cos.f64 eps) (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x) (*.f64 x (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log.f64 (+.f64 (cos.f64 eps) (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x) (*.f64 x (sin.f64 eps))))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sin.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (sin.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (sin.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sin.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (sin.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 x (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sin.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (sin.f64 eps)))))))) |
| 1× | egg-herbie |
| 583× | fma-def_binary64 |
| 552× | distribute-lft-out_binary64 |
| 425× | unswap-sqr_binary64 |
| 396× | distribute-rgt-out_binary64 |
| 364× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 929 |
| 1 | 260 | 831 |
| 2 | 766 | 783 |
| 3 | 3059 | 765 |
| 4 | 7226 | 765 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) |
(+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 4) (pow.f64 x 2))) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/1440 (*.f64 (pow.f64 eps 6) (pow.f64 x 2))) (+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 4) (pow.f64 x 2))) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/80640 (*.f64 (pow.f64 eps 8) (pow.f64 x 2))) (+.f64 (*.f64 1/1440 (*.f64 (pow.f64 eps 6) (pow.f64 x 2))) (+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 4) (pow.f64 x 2))) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))) |
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) |
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) |
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) |
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) |
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) |
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) |
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) |
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) |
(*.f64 1/4 (pow.f64 eps 2)) |
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 -1/48 (pow.f64 eps 4))) |
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (+.f64 (*.f64 -1/48 (pow.f64 eps 4)) (*.f64 1/1440 (pow.f64 eps 6)))) |
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (+.f64 (*.f64 -1/48 (pow.f64 eps 4)) (+.f64 (*.f64 -1/80640 (pow.f64 eps 8)) (*.f64 1/1440 (pow.f64 eps 6))))) |
(*.f64 -1 (*.f64 eps x)) |
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2))) |
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) x)) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2)))) |
(+.f64 (*.f64 (pow.f64 eps 4) (+.f64 1/24 (*.f64 -1/48 (pow.f64 x 2)))) (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) x)) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2))))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1) |
(-.f64 (cos.f64 eps) 1) |
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) |
(*.f64 (sin.f64 eps) x) |
(*.f64 (sin.f64 eps) x) |
(*.f64 (sin.f64 eps) x) |
(*.f64 (sin.f64 eps) x) |
(*.f64 (sin.f64 eps) x) |
(*.f64 (sin.f64 eps) x) |
(*.f64 (sin.f64 eps) x) |
(*.f64 (sin.f64 eps) x) |
(*.f64 (sin.f64 eps) x) |
(*.f64 (sin.f64 eps) x) |
(*.f64 (sin.f64 eps) x) |
(*.f64 (sin.f64 eps) x) |
(*.f64 eps x) |
(+.f64 (*.f64 eps x) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) x))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) x)) (+.f64 (*.f64 eps x) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) x)))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) x)) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) x)) (*.f64 -1/5040 (*.f64 (pow.f64 eps 7) x))))) |
| Outputs |
|---|
(*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) |
(*.f64 (*.f64 1/4 (*.f64 eps eps)) (*.f64 x x)) |
(*.f64 1/4 (*.f64 (*.f64 eps x) (*.f64 eps x))) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 x x)) 1/4)) |
(+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 4) (pow.f64 x 2))) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))) |
(fma.f64 -1/48 (*.f64 (*.f64 x x) (pow.f64 eps 4)) (*.f64 (*.f64 1/4 (*.f64 eps eps)) (*.f64 x x))) |
(*.f64 (*.f64 x x) (fma.f64 1/4 (*.f64 eps eps) (*.f64 -1/48 (pow.f64 eps 4)))) |
(*.f64 x (*.f64 x (fma.f64 -1/48 (pow.f64 eps 4) (*.f64 1/4 (*.f64 eps eps))))) |
(+.f64 (*.f64 1/1440 (*.f64 (pow.f64 eps 6) (pow.f64 x 2))) (+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 4) (pow.f64 x 2))) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))) |
(fma.f64 1/1440 (*.f64 (*.f64 x x) (pow.f64 eps 6)) (fma.f64 -1/48 (*.f64 (*.f64 x x) (pow.f64 eps 4)) (*.f64 (*.f64 1/4 (*.f64 eps eps)) (*.f64 x x)))) |
(fma.f64 1/1440 (*.f64 (*.f64 x x) (pow.f64 eps 6)) (*.f64 (*.f64 x x) (fma.f64 1/4 (*.f64 eps eps) (*.f64 -1/48 (pow.f64 eps 4))))) |
(*.f64 (*.f64 x x) (fma.f64 1/4 (*.f64 eps eps) (fma.f64 -1/48 (pow.f64 eps 4) (*.f64 1/1440 (pow.f64 eps 6))))) |
(*.f64 (*.f64 x x) (fma.f64 -1/48 (pow.f64 eps 4) (fma.f64 1/1440 (pow.f64 eps 6) (*.f64 1/4 (*.f64 eps eps))))) |
(+.f64 (*.f64 -1/80640 (*.f64 (pow.f64 eps 8) (pow.f64 x 2))) (+.f64 (*.f64 1/1440 (*.f64 (pow.f64 eps 6) (pow.f64 x 2))) (+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 4) (pow.f64 x 2))) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))) |
(fma.f64 -1/80640 (*.f64 (*.f64 x x) (pow.f64 eps 8)) (fma.f64 1/1440 (*.f64 (*.f64 x x) (pow.f64 eps 6)) (fma.f64 -1/48 (*.f64 (*.f64 x x) (pow.f64 eps 4)) (*.f64 (*.f64 1/4 (*.f64 eps eps)) (*.f64 x x))))) |
(+.f64 (*.f64 (*.f64 x x) (fma.f64 1/4 (*.f64 eps eps) (*.f64 -1/48 (pow.f64 eps 4)))) (*.f64 (*.f64 x x) (fma.f64 1/1440 (pow.f64 eps 6) (*.f64 -1/80640 (pow.f64 eps 8))))) |
(*.f64 (*.f64 x x) (fma.f64 1/4 (*.f64 eps eps) (fma.f64 -1/48 (pow.f64 eps 4) (fma.f64 1/1440 (pow.f64 eps 6) (*.f64 -1/80640 (pow.f64 eps 8)))))) |
(*.f64 (*.f64 x x) (fma.f64 1/4 (*.f64 eps eps) (fma.f64 1/1440 (pow.f64 eps 6) (fma.f64 -1/48 (pow.f64 eps 4) (*.f64 -1/80640 (pow.f64 eps 8)))))) |
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) |
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) |
(*.f64 x (*.f64 x (fma.f64 -1/2 (cos.f64 eps) 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 -1/2 (cos.f64 eps) 1/2)) |
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) |
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) |
(*.f64 x (*.f64 x (fma.f64 -1/2 (cos.f64 eps) 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 -1/2 (cos.f64 eps) 1/2)) |
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) |
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) |
(*.f64 x (*.f64 x (fma.f64 -1/2 (cos.f64 eps) 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 -1/2 (cos.f64 eps) 1/2)) |
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) |
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) |
(*.f64 x (*.f64 x (fma.f64 -1/2 (cos.f64 eps) 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 -1/2 (cos.f64 eps) 1/2)) |
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) |
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) |
(*.f64 x (*.f64 x (fma.f64 -1/2 (cos.f64 eps) 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 -1/2 (cos.f64 eps) 1/2)) |
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) |
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) |
(*.f64 x (*.f64 x (fma.f64 -1/2 (cos.f64 eps) 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 -1/2 (cos.f64 eps) 1/2)) |
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) |
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) |
(*.f64 x (*.f64 x (fma.f64 -1/2 (cos.f64 eps) 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 -1/2 (cos.f64 eps) 1/2)) |
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) |
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) |
(*.f64 x (*.f64 x (fma.f64 -1/2 (cos.f64 eps) 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 -1/2 (cos.f64 eps) 1/2)) |
(*.f64 1/4 (pow.f64 eps 2)) |
(*.f64 1/4 (*.f64 eps eps)) |
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 -1/48 (pow.f64 eps 4))) |
(fma.f64 1/4 (*.f64 eps eps) (*.f64 -1/48 (pow.f64 eps 4))) |
(fma.f64 -1/48 (pow.f64 eps 4) (*.f64 1/4 (*.f64 eps eps))) |
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (+.f64 (*.f64 -1/48 (pow.f64 eps 4)) (*.f64 1/1440 (pow.f64 eps 6)))) |
(fma.f64 1/4 (*.f64 eps eps) (fma.f64 -1/48 (pow.f64 eps 4) (*.f64 1/1440 (pow.f64 eps 6)))) |
(fma.f64 -1/48 (pow.f64 eps 4) (fma.f64 1/1440 (pow.f64 eps 6) (*.f64 1/4 (*.f64 eps eps)))) |
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (+.f64 (*.f64 -1/48 (pow.f64 eps 4)) (+.f64 (*.f64 -1/80640 (pow.f64 eps 8)) (*.f64 1/1440 (pow.f64 eps 6))))) |
(fma.f64 1/4 (*.f64 eps eps) (fma.f64 -1/48 (pow.f64 eps 4) (fma.f64 -1/80640 (pow.f64 eps 8) (*.f64 1/1440 (pow.f64 eps 6))))) |
(fma.f64 1/4 (*.f64 eps eps) (fma.f64 -1/48 (pow.f64 eps 4) (fma.f64 1/1440 (pow.f64 eps 6) (*.f64 -1/80640 (pow.f64 eps 8))))) |
(fma.f64 1/4 (*.f64 eps eps) (fma.f64 1/1440 (pow.f64 eps 6) (fma.f64 -1/48 (pow.f64 eps 4) (*.f64 -1/80640 (pow.f64 eps 8))))) |
(*.f64 -1 (*.f64 eps x)) |
(neg.f64 (*.f64 eps x)) |
(*.f64 eps (neg.f64 x)) |
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2))) |
(fma.f64 -1 (*.f64 eps x) (*.f64 (*.f64 eps eps) (fma.f64 1/4 (*.f64 x x) -1/2))) |
(-.f64 (*.f64 (*.f64 eps eps) (fma.f64 1/4 (*.f64 x x) -1/2)) (*.f64 eps x)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 1/4 (*.f64 x x) -1/2)) x)) |
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) x)) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2)))) |
(fma.f64 -1 (*.f64 eps x) (fma.f64 1/6 (*.f64 x (pow.f64 eps 3)) (*.f64 (*.f64 eps eps) (fma.f64 1/4 (*.f64 x x) -1/2)))) |
(-.f64 (fma.f64 (*.f64 eps eps) (fma.f64 1/4 (*.f64 x x) -1/2) (*.f64 1/6 (*.f64 x (pow.f64 eps 3)))) (*.f64 eps x)) |
(fma.f64 x (*.f64 1/6 (pow.f64 eps 3)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 1/4 (*.f64 x x) -1/2)) x))) |
(-.f64 (*.f64 (*.f64 eps eps) (fma.f64 1/4 (*.f64 x x) -1/2)) (*.f64 x (fma.f64 (pow.f64 eps 3) -1/6 eps))) |
(+.f64 (*.f64 (pow.f64 eps 4) (+.f64 1/24 (*.f64 -1/48 (pow.f64 x 2)))) (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) x)) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2))))) |
(fma.f64 (pow.f64 eps 4) (+.f64 1/24 (*.f64 (*.f64 x x) -1/48)) (fma.f64 -1 (*.f64 eps x) (fma.f64 1/6 (*.f64 x (pow.f64 eps 3)) (*.f64 (*.f64 eps eps) (fma.f64 1/4 (*.f64 x x) -1/2))))) |
(fma.f64 (pow.f64 eps 4) (fma.f64 (*.f64 x x) -1/48 1/24) (-.f64 (fma.f64 (*.f64 eps eps) (fma.f64 1/4 (*.f64 x x) -1/2) (*.f64 1/6 (*.f64 x (pow.f64 eps 3)))) (*.f64 eps x))) |
(fma.f64 (pow.f64 eps 4) (fma.f64 (*.f64 x x) -1/48 1/24) (fma.f64 x (*.f64 1/6 (pow.f64 eps 3)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 1/4 (*.f64 x x) -1/2)) x)))) |
(-.f64 (fma.f64 (*.f64 eps eps) (fma.f64 1/4 (*.f64 x x) -1/2) (*.f64 (pow.f64 eps 4) (fma.f64 (*.f64 x x) -1/48 1/24))) (*.f64 x (fma.f64 (pow.f64 eps 3) -1/6 eps))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1) |
(+.f64 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (+.f64 (cos.f64 eps) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))) -1) |
(+.f64 -1 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 -1/2 (cos.f64 eps) 1/2) (cos.f64 eps)) (*.f64 x (sin.f64 eps)))) |
(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (-.f64 (*.f64 x (fma.f64 -1/2 (cos.f64 eps) 1/2)) (sin.f64 eps)))) |
(+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 x (fma.f64 -1/2 (cos.f64 eps) 1/2) (neg.f64 (sin.f64 eps))) -1)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1) |
(+.f64 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (+.f64 (cos.f64 eps) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))) -1) |
(+.f64 -1 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 -1/2 (cos.f64 eps) 1/2) (cos.f64 eps)) (*.f64 x (sin.f64 eps)))) |
(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (-.f64 (*.f64 x (fma.f64 -1/2 (cos.f64 eps) 1/2)) (sin.f64 eps)))) |
(+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 x (fma.f64 -1/2 (cos.f64 eps) 1/2) (neg.f64 (sin.f64 eps))) -1)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1) |
(+.f64 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (+.f64 (cos.f64 eps) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))) -1) |
(+.f64 -1 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 -1/2 (cos.f64 eps) 1/2) (cos.f64 eps)) (*.f64 x (sin.f64 eps)))) |
(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (-.f64 (*.f64 x (fma.f64 -1/2 (cos.f64 eps) 1/2)) (sin.f64 eps)))) |
(+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 x (fma.f64 -1/2 (cos.f64 eps) 1/2) (neg.f64 (sin.f64 eps))) -1)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1) |
(+.f64 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (+.f64 (cos.f64 eps) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))) -1) |
(+.f64 -1 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 -1/2 (cos.f64 eps) 1/2) (cos.f64 eps)) (*.f64 x (sin.f64 eps)))) |
(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (-.f64 (*.f64 x (fma.f64 -1/2 (cos.f64 eps) 1/2)) (sin.f64 eps)))) |
(+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 x (fma.f64 -1/2 (cos.f64 eps) 1/2) (neg.f64 (sin.f64 eps))) -1)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1) |
(+.f64 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (+.f64 (cos.f64 eps) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))) -1) |
(+.f64 -1 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 -1/2 (cos.f64 eps) 1/2) (cos.f64 eps)) (*.f64 x (sin.f64 eps)))) |
(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (-.f64 (*.f64 x (fma.f64 -1/2 (cos.f64 eps) 1/2)) (sin.f64 eps)))) |
(+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 x (fma.f64 -1/2 (cos.f64 eps) 1/2) (neg.f64 (sin.f64 eps))) -1)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1) |
(+.f64 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (+.f64 (cos.f64 eps) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))) -1) |
(+.f64 -1 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 -1/2 (cos.f64 eps) 1/2) (cos.f64 eps)) (*.f64 x (sin.f64 eps)))) |
(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (-.f64 (*.f64 x (fma.f64 -1/2 (cos.f64 eps) 1/2)) (sin.f64 eps)))) |
(+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 x (fma.f64 -1/2 (cos.f64 eps) 1/2) (neg.f64 (sin.f64 eps))) -1)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1) |
(+.f64 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (+.f64 (cos.f64 eps) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))) -1) |
(+.f64 -1 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 -1/2 (cos.f64 eps) 1/2) (cos.f64 eps)) (*.f64 x (sin.f64 eps)))) |
(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (-.f64 (*.f64 x (fma.f64 -1/2 (cos.f64 eps) 1/2)) (sin.f64 eps)))) |
(+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 x (fma.f64 -1/2 (cos.f64 eps) 1/2) (neg.f64 (sin.f64 eps))) -1)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1) |
(+.f64 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (+.f64 (cos.f64 eps) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))) -1) |
(+.f64 -1 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 -1/2 (cos.f64 eps) 1/2) (cos.f64 eps)) (*.f64 x (sin.f64 eps)))) |
(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (-.f64 (*.f64 x (fma.f64 -1/2 (cos.f64 eps) 1/2)) (sin.f64 eps)))) |
(+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 x (fma.f64 -1/2 (cos.f64 eps) 1/2) (neg.f64 (sin.f64 eps))) -1)) |
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1) |
(+.f64 (+.f64 (cos.f64 eps) (neg.f64 (*.f64 x (sin.f64 eps)))) -1) |
(+.f64 (cos.f64 eps) (fma.f64 (neg.f64 x) (sin.f64 eps) -1)) |
(+.f64 -1 (fma.f64 (sin.f64 eps) (neg.f64 x) (cos.f64 eps))) |
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) 1)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) |
(*.f64 x (*.f64 x (fma.f64 -1/2 (cos.f64 eps) 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 -1/2 (cos.f64 eps) 1/2)) |
(+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) |
(fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))) |
(-.f64 (*.f64 x (*.f64 x (fma.f64 -1/2 (cos.f64 eps) 1/2))) (*.f64 x (sin.f64 eps))) |
(*.f64 x (-.f64 (*.f64 x (fma.f64 -1/2 (cos.f64 eps) 1/2)) (sin.f64 eps))) |
(*.f64 x (fma.f64 x (fma.f64 -1/2 (cos.f64 eps) 1/2) (neg.f64 (sin.f64 eps)))) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) |
(*.f64 x (*.f64 x (fma.f64 -1/2 (cos.f64 eps) 1/2))) |
(*.f64 (*.f64 x x) (fma.f64 -1/2 (cos.f64 eps) 1/2)) |
(+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) |
(fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))) |
(-.f64 (*.f64 x (*.f64 x (fma.f64 -1/2 (cos.f64 eps) 1/2))) (*.f64 x (sin.f64 eps))) |
(*.f64 x (-.f64 (*.f64 x (fma.f64 -1/2 (cos.f64 eps) 1/2)) (sin.f64 eps))) |
(*.f64 x (fma.f64 x (fma.f64 -1/2 (cos.f64 eps) 1/2) (neg.f64 (sin.f64 eps)))) |
(*.f64 (sin.f64 eps) x) |
(*.f64 x (sin.f64 eps)) |
(*.f64 (sin.f64 eps) x) |
(*.f64 x (sin.f64 eps)) |
(*.f64 (sin.f64 eps) x) |
(*.f64 x (sin.f64 eps)) |
(*.f64 (sin.f64 eps) x) |
(*.f64 x (sin.f64 eps)) |
(*.f64 (sin.f64 eps) x) |
(*.f64 x (sin.f64 eps)) |
(*.f64 (sin.f64 eps) x) |
(*.f64 x (sin.f64 eps)) |
(*.f64 (sin.f64 eps) x) |
(*.f64 x (sin.f64 eps)) |
(*.f64 (sin.f64 eps) x) |
(*.f64 x (sin.f64 eps)) |
(*.f64 (sin.f64 eps) x) |
(*.f64 x (sin.f64 eps)) |
(*.f64 (sin.f64 eps) x) |
(*.f64 x (sin.f64 eps)) |
(*.f64 (sin.f64 eps) x) |
(*.f64 x (sin.f64 eps)) |
(*.f64 (sin.f64 eps) x) |
(*.f64 x (sin.f64 eps)) |
(*.f64 eps x) |
(+.f64 (*.f64 eps x) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) x))) |
(fma.f64 eps x (*.f64 (*.f64 -1/6 (pow.f64 eps 3)) x)) |
(*.f64 x (+.f64 eps (*.f64 (pow.f64 eps 3) -1/6))) |
(*.f64 x (fma.f64 (pow.f64 eps 3) -1/6 eps)) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) x)) (+.f64 (*.f64 eps x) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) x)))) |
(fma.f64 1/120 (*.f64 x (pow.f64 eps 5)) (fma.f64 eps x (*.f64 (*.f64 -1/6 (pow.f64 eps 3)) x))) |
(fma.f64 1/120 (*.f64 x (pow.f64 eps 5)) (*.f64 x (+.f64 eps (*.f64 (pow.f64 eps 3) -1/6)))) |
(*.f64 x (+.f64 (*.f64 (pow.f64 eps 3) -1/6) (fma.f64 1/120 (pow.f64 eps 5) eps))) |
(*.f64 x (+.f64 (*.f64 1/120 (pow.f64 eps 5)) (fma.f64 (pow.f64 eps 3) -1/6 eps))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) x)) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) x)) (*.f64 -1/5040 (*.f64 (pow.f64 eps 7) x))))) |
(fma.f64 1/120 (*.f64 x (pow.f64 eps 5)) (fma.f64 eps x (fma.f64 -1/6 (*.f64 x (pow.f64 eps 3)) (*.f64 -1/5040 (*.f64 x (pow.f64 eps 7)))))) |
(fma.f64 1/120 (*.f64 x (pow.f64 eps 5)) (fma.f64 eps x (*.f64 x (+.f64 (*.f64 (pow.f64 eps 3) -1/6) (*.f64 -1/5040 (pow.f64 eps 7)))))) |
(*.f64 x (+.f64 (fma.f64 -1/5040 (pow.f64 eps 7) (*.f64 (pow.f64 eps 3) -1/6)) (fma.f64 1/120 (pow.f64 eps 5) eps))) |
(*.f64 x (+.f64 (fma.f64 1/120 (pow.f64 eps 5) eps) (fma.f64 -1/5040 (pow.f64 eps 7) (*.f64 (pow.f64 eps 3) -1/6)))) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (pow.f64 (cos.f64 (+.f64 x eps)) 2) | |
| 0.3b | (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) | |
| 0.2b | (pow.f64 (cos.f64 x) 2) | |
| 0.1b | (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) | |
| ✓ | 0.3b | (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| ✓ | 0.3b | (pow.f64 (cos.f64 (+.f64 x eps)) 2) |
| ✓ | 1.0b | (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) |
| 3.6b | (cos.f64 (+.f64 x eps)) |
Compiled 61 to 22 computations (63.9% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 1.0ms | x | @ | 0 | (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) |
| 1.0ms | eps | @ | 0 | (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) |
| 1.0ms | x | @ | -inf | (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) |
| 1.0ms | x | @ | inf | (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) |
| 1× | batch-egg-rewrite |
| 669× | fma-def_binary64 |
| 611× | log-prod_binary64 |
| 346× | fma-neg_binary64 |
| 245× | expm1-udef_binary64 |
| 245× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 37 |
| 1 | 267 | 37 |
| 2 | 3926 | 37 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) |
(pow.f64 (cos.f64 (+.f64 x eps)) 2) |
(+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (neg.f64 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (fma.f64 (neg.f64 (cos.f64 x)) (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (fma.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) 1 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (pow.f64 (cos.f64 x) 4)) (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule 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(+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 6) (pow.f64 (cos.f64 x) 6))) (neg.f64 (+.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 4) (pow.f64 (cos.f64 x) 4)) (pow.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 4) (pow.f64 (cos.f64 x) 4))) (neg.f64 (+.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)) 6) (pow.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) 3)) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 4) (-.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (neg.f64 (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 4) (*.f64 (neg.f64 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(cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (pow.f64 (cos.f64 (+.f64 x eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (cos.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)))))) (#(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 (+.f64 x eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 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(pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.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)) 4) (pow.f64 (cos.f64 x) 4)) (*.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))))))) (#(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 (+.f64 x eps)) (cos.f64 x))))))) (#(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 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (pow.f64 (cos.f64 (+.f64 x eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))) (#(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 pow.f64 (/.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))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) -1)))) (#(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 #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (+.f64 1 (expm1.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (cos.f64 x))) (exp.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (cos.f64 x)) (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (cos.f64 x))) (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))))) (#(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 exp.f64 (log.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (+.f64 x eps)) 1 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 x) 1 (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (#(struct:change #<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 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (cbrt.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cbrt.f64 (cos.f64 (+.f64 x eps))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))) |
| 1× | egg-herbie |
| 703× | fma-neg_binary64 |
| 637× | associate-*r*_binary64 |
| 625× | unsub-neg_binary64 |
| 615× | associate-*l*_binary64 |
| 441× | unswap-sqr_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 119 | 1364 |
| 1 | 361 | 1332 |
| 2 | 1185 | 1282 |
| 3 | 5166 | 1274 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (pow.f64 (cos.f64 eps) 2) 1) |
(-.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 -2 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x)))) 1) |
(-.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (*.f64 -2 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x))) (*.f64 (+.f64 1 (+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 -1 (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2)))) 1) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 eps)) (*.f64 1/3 (*.f64 (cos.f64 eps) (sin.f64 eps)))) (pow.f64 x 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (*.f64 -2 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x))) (*.f64 (+.f64 1 (+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 -1 (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))))) 1) |
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 -2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x)))) |
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 -1 (pow.f64 (cos.f64 x) 2)))) (*.f64 -2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x))))) |
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 -1 (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 -2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x)))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (*.f64 1/3 (*.f64 (cos.f64 x) (sin.f64 x))))))) |
(+.f64 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1/3 (pow.f64 (sin.f64 x) 2)) (+.f64 (*.f64 1/12 (pow.f64 (cos.f64 x) 2)) (*.f64 1/4 (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 -1 (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 -2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x)))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (*.f64 1/3 (*.f64 (cos.f64 x) (sin.f64 x)))))))) |
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (pow.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (pow.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (pow.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (pow.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 2) (pow.f64 (cos.f64 x) 2)) |
(pow.f64 (cos.f64 eps) 2) |
(+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 -2 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x)))) |
(+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (*.f64 -2 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x))) (*.f64 (+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 -1 (pow.f64 (cos.f64 eps) 2))) (pow.f64 x 2)))) |
(+.f64 (*.f64 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 eps)) (*.f64 1/3 (*.f64 (cos.f64 eps) (sin.f64 eps)))) (pow.f64 x 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (*.f64 -2 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x))) (*.f64 (+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 -1 (pow.f64 (cos.f64 eps) 2))) (pow.f64 x 2))))) |
(pow.f64 (cos.f64 (+.f64 eps x)) 2) |
(pow.f64 (cos.f64 (+.f64 eps x)) 2) |
(pow.f64 (cos.f64 (+.f64 eps x)) 2) |
(pow.f64 (cos.f64 (+.f64 eps x)) 2) |
(pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 2) |
(pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 2) |
(pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 2) |
(pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 2) |
(pow.f64 (cos.f64 x) 2) |
(+.f64 (*.f64 -2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x)))) (pow.f64 (cos.f64 x) 2)) |
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 -1 (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 -2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x)))) (pow.f64 (cos.f64 x) 2))) |
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 -1 (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 -2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (*.f64 1/3 (*.f64 (cos.f64 x) (sin.f64 x)))))))) |
(pow.f64 (cos.f64 (+.f64 eps x)) 2) |
(pow.f64 (cos.f64 (+.f64 eps x)) 2) |
(pow.f64 (cos.f64 (+.f64 eps x)) 2) |
(pow.f64 (cos.f64 (+.f64 eps x)) 2) |
(pow.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 2) |
(pow.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 2) |
(pow.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 2) |
(pow.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 2) |
(+.f64 1 (cos.f64 eps)) |
(+.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1 (*.f64 x (sin.f64 eps))))) |
(+.f64 (cos.f64 eps) (+.f64 1 (+.f64 (*.f64 (-.f64 (*.f64 -1/2 (cos.f64 eps)) 1/2) (pow.f64 x 2)) (*.f64 -1 (*.f64 x (sin.f64 eps)))))) |
(+.f64 (cos.f64 eps) (+.f64 1 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 (cos.f64 eps)) 1/2) (pow.f64 x 2)) (*.f64 -1 (*.f64 x (sin.f64 eps))))))) |
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(+.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(+.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(+.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(+.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(*.f64 2 (cos.f64 x)) |
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 2 (cos.f64 x))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 2 (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 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 2 (cos.f64 x))))) |
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(+.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps)))) |
(+.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps)))) |
(+.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps)))) |
(+.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps)))) |
| Outputs |
|---|
(-.f64 (pow.f64 (cos.f64 eps) 2) 1) |
(+.f64 (pow.f64 (cos.f64 eps) 2) -1) |
(neg.f64 (pow.f64 (sin.f64 eps) 2)) |
(-.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 -2 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x)))) 1) |
(+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 (*.f64 -2 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x))) 1)) |
(+.f64 (pow.f64 (cos.f64 eps) 2) (fma.f64 -2 (*.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) x)) -1)) |
(-.f64 (*.f64 (cos.f64 eps) (*.f64 -2 (*.f64 (sin.f64 eps) x))) (pow.f64 (sin.f64 eps) 2)) |
(fma.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) (*.f64 -2 (*.f64 (sin.f64 eps) x))) -1) |
(-.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (*.f64 -2 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x))) (*.f64 (+.f64 1 (+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 -1 (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2)))) 1) |
(+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 (fma.f64 -2 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x)) (*.f64 (+.f64 1 (+.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (pow.f64 (cos.f64 eps) 2)))) (*.f64 x x))) 1)) |
(+.f64 (fma.f64 -2 (*.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) x)) (*.f64 x (*.f64 x (+.f64 1 (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (neg.f64 (pow.f64 (sin.f64 eps) 2))) |
(-.f64 (*.f64 x (+.f64 (*.f64 (cos.f64 eps) (*.f64 -2 (sin.f64 eps))) (*.f64 x (-.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (pow.f64 (sin.f64 eps) 2)))))) (pow.f64 (sin.f64 eps) 2)) |
(fma.f64 x (+.f64 (*.f64 -2 (*.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 x (+.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))) (neg.f64 (pow.f64 (sin.f64 eps) 2))) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 eps)) (*.f64 1/3 (*.f64 (cos.f64 eps) (sin.f64 eps)))) (pow.f64 x 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (*.f64 -2 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x))) (*.f64 (+.f64 1 (+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 -1 (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))))) 1) |
(+.f64 (fma.f64 (*.f64 4/3 (*.f64 (cos.f64 eps) (sin.f64 eps))) (pow.f64 x 3) (+.f64 (pow.f64 (cos.f64 eps) 2) (fma.f64 -2 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x)) (*.f64 (+.f64 1 (+.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (pow.f64 (cos.f64 eps) 2)))) (*.f64 x x))))) -1) |
(fma.f64 (*.f64 (*.f64 4/3 (sin.f64 eps)) (cos.f64 eps)) (pow.f64 x 3) (+.f64 (fma.f64 -2 (*.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) x)) (*.f64 x (*.f64 x (+.f64 1 (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (neg.f64 (pow.f64 (sin.f64 eps) 2)))) |
(fma.f64 (*.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) 4/3)) (pow.f64 x 3) (-.f64 (*.f64 x (+.f64 (*.f64 (cos.f64 eps) (*.f64 -2 (sin.f64 eps))) (*.f64 x (-.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (pow.f64 (sin.f64 eps) 2)))))) (pow.f64 (sin.f64 eps) 2))) |
(fma.f64 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) 4/3)) (pow.f64 x 3) (fma.f64 x (+.f64 (*.f64 -2 (*.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 x (+.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))) (neg.f64 (pow.f64 (sin.f64 eps) 2)))) |
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 -2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x)))) |
(*.f64 -2 (*.f64 (*.f64 eps (cos.f64 x)) (sin.f64 x))) |
(*.f64 eps (*.f64 (sin.f64 x) (*.f64 (cos.f64 x) -2))) |
(*.f64 eps (*.f64 (cos.f64 x) (*.f64 -2 (sin.f64 x)))) |
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 -1 (pow.f64 (cos.f64 x) 2)))) (*.f64 -2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x))))) |
(fma.f64 (*.f64 eps eps) (+.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))) (*.f64 -2 (*.f64 (*.f64 eps (cos.f64 x)) (sin.f64 x)))) |
(fma.f64 (*.f64 eps eps) (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 -2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x))))) |
(*.f64 eps (+.f64 (*.f64 eps (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (sin.f64 x) (*.f64 (cos.f64 x) -2)))) |
(*.f64 eps (+.f64 (*.f64 eps (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (cos.f64 x) (*.f64 -2 (sin.f64 x))))) |
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 -1 (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 -2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x)))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (*.f64 1/3 (*.f64 (cos.f64 x) (sin.f64 x))))))) |
(fma.f64 (*.f64 eps eps) (+.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))) (fma.f64 -2 (*.f64 (*.f64 eps (cos.f64 x)) (sin.f64 x)) (*.f64 (pow.f64 eps 3) (*.f64 4/3 (*.f64 (cos.f64 x) (sin.f64 x)))))) |
(fma.f64 (*.f64 eps eps) (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (fma.f64 -2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 (pow.f64 eps 3) (*.f64 (*.f64 (cos.f64 x) (sin.f64 x)) 4/3)))) |
(fma.f64 (*.f64 eps eps) (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (*.f64 eps -2) (*.f64 (pow.f64 eps 3) 4/3)))) |
(+.f64 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1/3 (pow.f64 (sin.f64 x) 2)) (+.f64 (*.f64 1/12 (pow.f64 (cos.f64 x) 2)) (*.f64 1/4 (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 -1 (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 -2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x)))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (*.f64 1/3 (*.f64 (cos.f64 x) (sin.f64 x)))))))) |
(fma.f64 (pow.f64 eps 4) (fma.f64 -1/3 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) 1/3)) (fma.f64 (*.f64 eps eps) (+.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))) (fma.f64 -2 (*.f64 (*.f64 eps (cos.f64 x)) (sin.f64 x)) (*.f64 (pow.f64 eps 3) (*.f64 4/3 (*.f64 (cos.f64 x) (sin.f64 x))))))) |
(fma.f64 (pow.f64 eps 4) (fma.f64 (pow.f64 (cos.f64 x) 2) 1/3 (*.f64 (pow.f64 (sin.f64 x) 2) -1/3)) (fma.f64 (*.f64 eps eps) (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (fma.f64 -2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 (pow.f64 eps 3) (*.f64 (*.f64 (cos.f64 x) (sin.f64 x)) 4/3))))) |
(fma.f64 (pow.f64 eps 4) (fma.f64 (pow.f64 (sin.f64 x) 2) -1/3 (*.f64 1/3 (pow.f64 (cos.f64 x) 2))) (fma.f64 (*.f64 eps eps) (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (*.f64 eps -2) (*.f64 (pow.f64 eps 3) 4/3))))) |
(fma.f64 (pow.f64 eps 4) (fma.f64 (pow.f64 (cos.f64 x) 2) 1/3 (*.f64 (pow.f64 (sin.f64 x) 2) -1/3)) (fma.f64 (*.f64 eps eps) (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (*.f64 eps -2) (*.f64 (pow.f64 eps 3) 4/3))))) |
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (pow.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (pow.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (pow.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (pow.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) |
(pow.f64 (cos.f64 eps) 2) |
(+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 -2 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x)))) |
(fma.f64 -2 (*.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) x)) (pow.f64 (cos.f64 eps) 2)) |
(*.f64 (cos.f64 eps) (+.f64 (*.f64 -2 (*.f64 (sin.f64 eps) x)) (cos.f64 eps))) |
(*.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) (*.f64 -2 (*.f64 (sin.f64 eps) x)))) |
(+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (*.f64 -2 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x))) (*.f64 (+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 -1 (pow.f64 (cos.f64 eps) 2))) (pow.f64 x 2)))) |
(+.f64 (pow.f64 (cos.f64 eps) 2) (fma.f64 -2 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x)) (*.f64 (+.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (pow.f64 (cos.f64 eps) 2))) (*.f64 x x)))) |
(+.f64 (pow.f64 (cos.f64 eps) 2) (fma.f64 -2 (*.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) x)) (*.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 x x)))) |
(+.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -2 (*.f64 (sin.f64 eps) x)) (cos.f64 eps))) (*.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 x x))) |
(+.f64 (*.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) (*.f64 -2 (*.f64 (sin.f64 eps) x)))) (*.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 x x))) |
(+.f64 (*.f64 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 eps)) (*.f64 1/3 (*.f64 (cos.f64 eps) (sin.f64 eps)))) (pow.f64 x 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (*.f64 -2 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x))) (*.f64 (+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 -1 (pow.f64 (cos.f64 eps) 2))) (pow.f64 x 2))))) |
(fma.f64 (*.f64 4/3 (*.f64 (cos.f64 eps) (sin.f64 eps))) (pow.f64 x 3) (+.f64 (pow.f64 (cos.f64 eps) 2) (fma.f64 -2 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x)) (*.f64 (+.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (pow.f64 (cos.f64 eps) 2))) (*.f64 x x))))) |
(+.f64 (fma.f64 -2 (*.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) x)) (*.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 x x))) (fma.f64 (*.f64 (*.f64 4/3 (sin.f64 eps)) (cos.f64 eps)) (pow.f64 x 3) (pow.f64 (cos.f64 eps) 2))) |
(+.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -2 (*.f64 (sin.f64 eps) x)) (cos.f64 eps))) (*.f64 (*.f64 x x) (+.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 x (*.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) 4/3)))))) |
(+.f64 (*.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) (*.f64 -2 (*.f64 (sin.f64 eps) x)))) (*.f64 (*.f64 x x) (+.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (*.f64 (cos.f64 eps) (sin.f64 eps)) (*.f64 4/3 x))))) |
(pow.f64 (cos.f64 (+.f64 eps x)) 2) |
(pow.f64 (cos.f64 (+.f64 eps x)) 2) |
(pow.f64 (cos.f64 (+.f64 eps x)) 2) |
(pow.f64 (cos.f64 (+.f64 eps x)) 2) |
(pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 2) |
(pow.f64 (cos.f64 (+.f64 eps x)) 2) |
(pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 2) |
(pow.f64 (cos.f64 (+.f64 eps x)) 2) |
(pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 2) |
(pow.f64 (cos.f64 (+.f64 eps x)) 2) |
(pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 2) |
(pow.f64 (cos.f64 (+.f64 eps x)) 2) |
(pow.f64 (cos.f64 x) 2) |
(+.f64 (*.f64 -2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x)))) (pow.f64 (cos.f64 x) 2)) |
(fma.f64 -2 (*.f64 (*.f64 eps (cos.f64 x)) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) |
(fma.f64 -2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x))) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (*.f64 eps (*.f64 -2 (sin.f64 x))))) |
(*.f64 (cos.f64 x) (+.f64 (*.f64 eps (*.f64 -2 (sin.f64 x))) (cos.f64 x))) |
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 -1 (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 -2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x)))) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (*.f64 eps eps) (+.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))) (fma.f64 -2 (*.f64 (*.f64 eps (cos.f64 x)) (sin.f64 x)) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (*.f64 eps eps) (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (fma.f64 -2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x))) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (*.f64 eps eps) (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (*.f64 eps (*.f64 -2 (sin.f64 x)))))) |
(fma.f64 (*.f64 eps eps) (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (cos.f64 x) (+.f64 (*.f64 eps (*.f64 -2 (sin.f64 x))) (cos.f64 x)))) |
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 -1 (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 -2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (*.f64 1/3 (*.f64 (cos.f64 x) (sin.f64 x)))))))) |
(fma.f64 (*.f64 eps eps) (+.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))) (+.f64 (fma.f64 -2 (*.f64 (*.f64 eps (cos.f64 x)) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 eps 3) (*.f64 4/3 (*.f64 (cos.f64 x) (sin.f64 x)))))) |
(fma.f64 (*.f64 eps eps) (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (fma.f64 -2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x))) (fma.f64 (pow.f64 eps 3) (*.f64 (*.f64 (cos.f64 x) (sin.f64 x)) 4/3) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 (pow.f64 (cos.f64 x) 2) (fma.f64 (*.f64 eps eps) (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (*.f64 eps -2) (*.f64 (pow.f64 eps 3) 4/3))))) |
(pow.f64 (cos.f64 (+.f64 eps x)) 2) |
(pow.f64 (cos.f64 (+.f64 eps x)) 2) |
(pow.f64 (cos.f64 (+.f64 eps x)) 2) |
(pow.f64 (cos.f64 (+.f64 eps x)) 2) |
(pow.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 2) |
(pow.f64 (cos.f64 (+.f64 eps x)) 2) |
(pow.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 2) |
(pow.f64 (cos.f64 (+.f64 eps x)) 2) |
(pow.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 2) |
(pow.f64 (cos.f64 (+.f64 eps x)) 2) |
(pow.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 2) |
(pow.f64 (cos.f64 (+.f64 eps x)) 2) |
(+.f64 1 (cos.f64 eps)) |
(+.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1 (*.f64 x (sin.f64 eps))))) |
(+.f64 (cos.f64 eps) (+.f64 1 (*.f64 (neg.f64 x) (sin.f64 eps)))) |
(+.f64 (cos.f64 eps) (fma.f64 (neg.f64 x) (sin.f64 eps) 1)) |
(+.f64 (cos.f64 eps) (+.f64 1 (+.f64 (*.f64 (-.f64 (*.f64 -1/2 (cos.f64 eps)) 1/2) (pow.f64 x 2)) (*.f64 -1 (*.f64 x (sin.f64 eps)))))) |
(+.f64 (+.f64 (cos.f64 eps) 1) (fma.f64 (fma.f64 -1/2 (cos.f64 eps) -1/2) (*.f64 x x) (*.f64 (neg.f64 x) (sin.f64 eps)))) |
(+.f64 (cos.f64 eps) (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (fma.f64 (cos.f64 eps) -1/2 -1/2)) (*.f64 (sin.f64 eps) x)))) |
(+.f64 (cos.f64 eps) (+.f64 1 (*.f64 x (-.f64 (*.f64 x (fma.f64 (cos.f64 eps) -1/2 -1/2)) (sin.f64 eps))))) |
(+.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) (+.f64 1 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 (cos.f64 eps)) 1/2) (pow.f64 x 2)) (*.f64 -1 (*.f64 x (sin.f64 eps))))))) |
(+.f64 (+.f64 (cos.f64 eps) 1) (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 (fma.f64 -1/2 (cos.f64 eps) -1/2) (*.f64 x x) (*.f64 (neg.f64 x) (sin.f64 eps))))) |
(+.f64 (cos.f64 eps) (+.f64 (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (*.f64 (*.f64 x x) (fma.f64 (cos.f64 eps) -1/2 -1/2))) (fma.f64 (neg.f64 x) (sin.f64 eps) 1))) |
(+.f64 (cos.f64 eps) (+.f64 1 (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (*.f64 x (-.f64 (*.f64 x (fma.f64 (cos.f64 eps) -1/2 -1/2)) (sin.f64 eps)))))) |
(+.f64 (fma.f64 x (*.f64 x (fma.f64 (cos.f64 eps) -1/2 -1/2)) (*.f64 (sin.f64 eps) (-.f64 (*.f64 (pow.f64 x 3) 1/6) x))) (+.f64 (cos.f64 eps) 1)) |
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(+.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(+.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(+.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(+.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(*.f64 2 (cos.f64 x)) |
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 2 (cos.f64 x))) |
(fma.f64 -1 (*.f64 eps (sin.f64 x)) (*.f64 2 (cos.f64 x))) |
(-.f64 (*.f64 2 (cos.f64 x)) (*.f64 eps (sin.f64 x))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 2 (cos.f64 x)))) |
(fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (fma.f64 -1 (*.f64 eps (sin.f64 x)) (*.f64 2 (cos.f64 x)))) |
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))) (-.f64 (*.f64 2 (cos.f64 x)) (*.f64 eps (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 eps (*.f64 eps -1/2)) 2)) (*.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 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 2 (cos.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)) (fma.f64 -1 (*.f64 eps (sin.f64 x)) (*.f64 2 (cos.f64 x))))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))) (-.f64 (*.f64 2 (cos.f64 x)) (*.f64 eps (sin.f64 x))))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 eps (*.f64 eps -1/2)) 2)) (*.f64 eps (sin.f64 x)))) |
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(+.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps)))) |
(+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(+.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps)))) |
(+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(+.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps)))) |
(+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(+.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps)))) |
(+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
Compiled 31885 to 14153 computations (55.6% saved)
77 alts after pruning (75 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1284 | 62 | 1346 |
| Fresh | 20 | 13 | 33 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 2 | 5 |
| Total | 1308 | 77 | 1385 |
| Status | Error | Program |
|---|---|---|
| 26.6b | (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) | |
| 29.5b | (+.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (+.f64 -1/2 (*.f64 (*.f64 eps eps) 1/24)))) | |
| 51.7b | (*.f64 eps (neg.f64 x)) | |
| 26.6b | (log.f64 (exp.f64 (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))) | |
| 49.0b | (*.f64 -1/2 (*.f64 eps eps)) | |
| 44.4b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (/.f64 1 (fma.f64 x x (*.f64 eps (-.f64 eps x)))) x) 1/2))) | |
| 41.3b | (fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) | |
| 26.6b | (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) | |
| 40.8b | (*.f64 3 (*.f64 1/3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) | |
| 31.1b | (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (+.f64 (*.f64 1/3 (*.f64 x x)) -2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x x) -2)))) | |
| 35.8b | (*.f64 eps (neg.f64 (sin.f64 x))) | |
| 54.9b | (log.f64 (+.f64 1 (*.f64 -1 (*.f64 eps (sin.f64 x))))) | |
| 49.2b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (sqrt.f64 (*.f64 1/4 (*.f64 eps eps))))) | |
| 41.0b | (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3) | |
| 56.1b | (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) | |
| 40.7b | (-.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 1) 1) | |
| 15.5b | (*.f64 (pow.f64 (cbrt.f64 -2) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) | |
| 14.1b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (+.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 (+.f64 x eps) 1/2))) (*.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 (+.f64 x eps) 1/2))))) | |
| 40.8b | (log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) | |
| 48.1b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (expm1.f64 (log1p.f64 eps)) 1/2))) | |
| 28.9b | (*.f64 eps (-.f64 (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) | |
| 40.7b | (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1)) | |
| 31.1b | (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x x) -2)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x -2)))) | |
| 27.2b | (-.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x)) | |
| 30.6b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps)))) | |
| 44.4b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (pow.f64 (cbrt.f64 (*.f64 eps 1/2)) 3))) | |
| 28.9b | (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))) | |
| ▶ | 42.2b | (-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (+.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 (*.f64 x x) (*.f64 -1/2 (cos.f64 eps)))))) 1) |
| 40.6b | (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) | |
| 40.7b | (-.f64 (log.f64 (exp.f64 (cos.f64 eps))) 1) | |
| 53.5b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (/.f64 (pow.f64 eps 3) (*.f64 eps eps)) 1/2))) | |
| 45.8b | (-.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) 1) | |
| 26.6b | (-.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x)) | |
| ✓ | 40.8b | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 33.6b | (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) | |
| 40.4b | (/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) | |
| 26.6b | (log.f64 (exp.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) | |
| 40.6b | (log.f64 (exp.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))) | |
| 41.3b | (fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x))))) | |
| 40.7b | (/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1))) | |
| 33.8b | (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) | |
| 41.9b | (-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x)) | |
| 44.7b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (fma.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (/.f64 1 (-.f64 x eps)) (neg.f64 x)) 1/2))) | |
| ✓ | 40.6b | (-.f64 (cos.f64 eps) 1) |
| 43.1b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (/.f64 (*.f64 eps eps) eps) 1/2))) | |
| ▶ | 40.6b | (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) |
| 47.9b | (*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1)) | |
| ▶ | 55.4b | (-.f64 1 1) |
| 28.8b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))) | |
| 40.5b | (-.f64 (cos.f64 eps) (cos.f64 x)) | |
| 34.5b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2))) | |
| 40.6b | (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) | |
| ▶ | 14.0b | (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))) |
| 45.7b | (-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x)) | |
| 54.8b | (sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2)) | |
| 54.3b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (/.f64 1 (/.f64 (*.f64 eps eps) (pow.f64 eps 3))) 1/2))) | |
| 27.3b | (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x))))) | |
| 40.9b | (neg.f64 (log.f64 (/.f64 (exp.f64 (cos.f64 x)) (exp.f64 (cos.f64 (+.f64 x eps)))))) | |
| 44.4b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) | |
| 33.8b | (log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) | |
| ▶ | 39.9b | (log.f64 (exp.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))) |
| 26.6b | (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x))))) | |
| 54.6b | (sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) | |
| 34.7b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 x)) | |
| 48.0b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (expm1.f64 (log1p.f64 (*.f64 eps 1/2))))) | |
| 37.7b | (-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps))) | |
| 38.3b | (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) -2) 3))) | |
| 45.3b | (*.f64 eps (-.f64 (*.f64 eps (fma.f64 1/4 (*.f64 x x) -1/2)) x)) | |
| 26.9b | (-.f64 (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)))) (cos.f64 x)) | |
| 26.6b | (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) | |
| 35.9b | (/.f64 (*.f64 -2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) | |
| 40.8b | (*.f64 1/3 (*.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) | |
| 26.8b | (log.f64 (/.f64 (pow.f64 (exp.f64 1) (*.f64 (cos.f64 x) (cos.f64 eps))) (pow.f64 (exp.f64 1) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))) | |
| 49.4b | (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2)) | |
| 38.3b | (cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) 3)) | |
| 40.8b | (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3) | |
| 26.6b | (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))) |
Compiled 2515 to 1815 computations (27.8% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 3.5b | (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) | |
| 0.3b | (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))) | |
| 0.2b | (*.f64 1/2 (+.f64 eps (*.f64 2 x))) | |
| 0.0b | (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))) | |
| ✓ | 0.0b | (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))) |
| ✓ | 0.2b | (*.f64 1/2 (+.f64 eps (*.f64 2 x))) |
| ✓ | 0.3b | (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))) |
| ✓ | 3.5b | (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) |
Compiled 65 to 48 computations (26.2% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | 0 | (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))) |
| 1.0ms | x | @ | 0 | (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))) |
| 0.0ms | eps | @ | 0 | (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) |
| 0.0ms | x | @ | 0 | (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) |
| 0.0ms | eps | @ | 0 | (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))) |
| 1× | batch-egg-rewrite |
| 721× | log-prod_binary64 |
| 502× | fma-def_binary64 |
| 266× | pow1/3_binary64 |
| 266× | expm1-udef_binary64 |
| 266× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 65 |
| 1 | 302 | 45 |
| 2 | 3968 | 45 |
| 1× | node limit |
| Inputs |
|---|
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))) |
(*.f64 1/2 (+.f64 eps (*.f64 2 x))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (fma.f64 1/2 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 (fma.f64 1/2 eps x)))) (cbrt.f64 (exp.f64 (sin.f64 (fma.f64 1/2 eps x)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (fma.f64 1/2 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (fma.f64 1/2 eps x))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (fma.f64 1/2 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (fma.f64 1/2 eps x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 eps x)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 eps x)))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (fma.f64 1/2 eps x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (fma.f64 1/2 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (fma.f64 1/2 eps x))) (cbrt.f64 (pow.f64 (sin.f64 (fma.f64 1/2 eps x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 (fma.f64 1/2 eps x)) 2)) (cbrt.f64 (sin.f64 (fma.f64 1/2 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (fma.f64 1/2 eps x))) (sqrt.f64 (sin.f64 (fma.f64 1/2 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (fma.f64 1/2 eps x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (fma.f64 1/2 eps x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (fma.f64 1/2 eps x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (fma.f64 1/2 eps x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (fma.f64 1/2 eps x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (fma.f64 1/2 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (fma.f64 1/2 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (fma.f64 1/2 eps x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (fma.f64 1/2 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (fma.f64 1/2 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (fma.f64 1/2 eps x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (fma.f64 1/2 eps x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (fma.f64 1/2 eps x)))) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (fma.f64 1/2 eps x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (fma.f64 1/2 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (fma.f64 1/2 eps x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (fma.f64 1/2 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (*.f64 1/2 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (fma.f64 1/2 eps x))) 2) (/.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (fma.f64 1/2 eps x))) (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (fma.f64 1/2 eps x))) (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 1/2 eps x) (*.f64 1/2 eps))) (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (fma.f64 1/2 eps x))) (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (*.f64 1/2 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (*.f64 1/2 eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (*.f64 1/2 eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (*.f64 1/2 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (sin.f64 (fma.f64 1/2 eps x)) 3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) (pow.f64 (sin.f64 (fma.f64 1/2 eps x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (fma.f64 1/2 eps x))) (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (*.f64 1/2 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (fma.f64 1/2 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (*.f64 1/2 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (*.f64 1/2 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 (fma.f64 1/2 eps x)) 3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) (pow.f64 (sin.f64 (fma.f64 1/2 eps x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (*.f64 1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (*.f64 1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (*.f64 1/2 eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (*.f64 1/2 eps))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 1/2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 1/2 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 eps x))) (cbrt.f64 (exp.f64 (fma.f64 1/2 eps x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 eps x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 eps x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/2 eps) 3) (pow.f64 x 3)) (fma.f64 1/4 (*.f64 eps eps) (-.f64 (*.f64 x x) (*.f64 (*.f64 1/2 eps) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/4 (*.f64 eps eps)) (*.f64 x x)) (-.f64 (*.f64 1/2 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x 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(fma.f64 1/2 eps x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/2 eps x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 eps x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (+.f64 x x) (*.f64 1/2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps 1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (*.f64 x 1/2) (*.f64 1/2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 1/2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x x) 1/2 (*.f64 1/2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 eps) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 1/2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 1/2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 1/2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 4)) (*.f64 (cbrt.f64 (+.f64 x x)) 1/2) (*.f64 1/2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 eps eps)) (*.f64 (cbrt.f64 eps) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/2 eps)) (cbrt.f64 (*.f64 1/4 (*.f64 eps eps))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 eps eps))) (cbrt.f64 (*.f64 1/2 eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 1/2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x x)) (*.f64 (sqrt.f64 (+.f64 x x)) 1/2) (*.f64 1/2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 eps)) (sqrt.f64 (*.f64 1/2 eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 x) 2 (*.f64 1/2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (cbrt.f64 (*.f64 (*.f64 x x) 4))) (cbrt.f64 (+.f64 x x)) (*.f64 1/2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 (+.f64 x x))) (sqrt.f64 (+.f64 x x)) (*.f64 1/2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 eps)) (sqrt.f64 eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 eps x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 (fma.f64 1/2 eps x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (fma.f64 1/2 eps x))) -2)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (fma.f64 1/2 eps x))) -2)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (fma.f64 1/2 eps x))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (fma.f64 1/2 eps x))) -2))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (fma.f64 1/2 eps x))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (fma.f64 1/2 eps x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (fma.f64 1/2 eps x))) (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x)))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (fma.f64 1/2 eps x))) (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (fma.f64 1/2 eps x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 1/2 eps x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 (fma.f64 1/2 eps x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 (fma.f64 1/2 eps x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 1/2 eps x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (fma.f64 1/2 eps x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (fma.f64 1/2 eps x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 1/2 eps x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 (fma.f64 1/2 eps x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 (fma.f64 1/2 eps x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (fma.f64 1/2 eps x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 (fma.f64 1/2 eps x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2)))))))) |
| 1× | egg-herbie |
| 865× | fma-def_binary64 |
| 566× | distribute-rgt-out_binary64 |
| 515× | associate-*l*_binary64 |
| 496× | associate-*r*_binary64 |
| 466× | distribute-rgt-neg-out_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 111 | 1440 |
| 1 | 333 | 1312 |
| 2 | 985 | 1157 |
| 3 | 4035 | 1125 |
| 1× | node limit |
| Inputs |
|---|
(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 (*.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)))) |
(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)))) |
(*.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))) |
x |
(+.f64 (*.f64 1/2 eps) x) |
(+.f64 (*.f64 1/2 eps) x) |
(+.f64 (*.f64 1/2 eps) x) |
(*.f64 1/2 eps) |
(+.f64 (*.f64 1/2 eps) x) |
(+.f64 (*.f64 1/2 eps) x) |
(+.f64 (*.f64 1/2 eps) x) |
(*.f64 1/2 eps) |
(+.f64 (*.f64 1/2 eps) x) |
(+.f64 (*.f64 1/2 eps) x) |
(+.f64 (*.f64 1/2 eps) x) |
(*.f64 1/2 eps) |
(+.f64 (*.f64 1/2 eps) x) |
(+.f64 (*.f64 1/2 eps) x) |
(+.f64 (*.f64 1/2 eps) x) |
x |
(+.f64 (*.f64 1/2 eps) x) |
(+.f64 (*.f64 1/2 eps) x) |
(+.f64 (*.f64 1/2 eps) x) |
x |
(+.f64 (*.f64 1/2 eps) x) |
(+.f64 (*.f64 1/2 eps) x) |
(+.f64 (*.f64 1/2 eps) 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 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x))))))) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x)))))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))) |
(+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2)) (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))))) |
(+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2)) (+.f64 (*.f64 1/3 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)))) (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) |
| Outputs |
|---|
(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 (*.f64 -1/8 (*.f64 eps eps)) (sin.f64 x) (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x))) |
(fma.f64 (sin.f64 x) (*.f64 -1/8 (*.f64 eps eps)) (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 -1/48 (*.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 (sin.f64 x) (*.f64 -1/8 (*.f64 eps eps)) (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 (*.f64 2 x) (*.f64 -1 eps)))) |
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 x 2) (neg.f64 eps)))) |
(sin.f64 (fma.f64 1/2 eps (*.f64 x 1))) |
(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 (-.f64 (*.f64 x 2) (neg.f64 eps)))) |
(sin.f64 (fma.f64 1/2 eps (*.f64 x 1))) |
(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 (-.f64 (*.f64 x 2) (neg.f64 eps)))) |
(sin.f64 (fma.f64 1/2 eps (*.f64 x 1))) |
(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 (-.f64 (*.f64 x 2) (neg.f64 eps)))) |
(sin.f64 (fma.f64 1/2 eps (*.f64 x 1))) |
(sin.f64 (fma.f64 1/2 eps x)) |
(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))) |
(fma.f64 x (cos.f64 (*.f64 1/2 eps)) (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 x (cos.f64 (*.f64 1/2 eps)) (fma.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) -1/2) (*.f64 x x) (sin.f64 (*.f64 1/2 eps)))) |
(fma.f64 x (cos.f64 (*.f64 1/2 eps)) (*.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) 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 -1/6 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)))) (fma.f64 x (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) |
(fma.f64 x (cos.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 -1/6 (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) 1) (sin.f64 (*.f64 1/2 eps))))) |
(+.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) 1) (sin.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))) |
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) |
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 x 2) (neg.f64 eps)))) |
(sin.f64 (fma.f64 1/2 eps (*.f64 x 1))) |
(sin.f64 (fma.f64 1/2 eps x)) |
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) |
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 x 2) (neg.f64 eps)))) |
(sin.f64 (fma.f64 1/2 eps (*.f64 x 1))) |
(sin.f64 (fma.f64 1/2 eps x)) |
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) |
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 x 2) (neg.f64 eps)))) |
(sin.f64 (fma.f64 1/2 eps (*.f64 x 1))) |
(sin.f64 (fma.f64 1/2 eps x)) |
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) |
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 x 2) (neg.f64 eps)))) |
(sin.f64 (fma.f64 1/2 eps (*.f64 x 1))) |
(sin.f64 (fma.f64 1/2 eps x)) |
(*.f64 1/2 (*.f64 eps (sin.f64 x))) |
(*.f64 1/2 (*.f64 (sin.f64 x) eps)) |
(*.f64 (sin.f64 x) (*.f64 1/2 eps)) |
(+.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 (sin.f64 x) eps))) |
(fma.f64 1/2 (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) 1/4))) |
(fma.f64 (sin.f64 x) (*.f64 1/2 eps) (*.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) 1/4))) |
(*.f64 eps (+.f64 (*.f64 (sin.f64 x) 1/2) (*.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 (sin.f64 x) eps)))) |
(fma.f64 1/4 (*.f64 (cos.f64 x) (*.f64 eps eps)) (fma.f64 1/2 (*.f64 (sin.f64 x) eps) (*.f64 (sin.f64 x) (*.f64 -1/12 (pow.f64 eps 3))))) |
(fma.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) 1/4) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/2 eps) (*.f64 (pow.f64 eps 3) -1/12)))) |
(*.f64 eps (+.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps)))))) |
(+.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 (sin.f64 x) eps))))) |
(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 1/2 (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (*.f64 -1/48 (pow.f64 eps 4)))))) |
(fma.f64 (cos.f64 x) (*.f64 (*.f64 eps 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 (+.f64 eps (*.f64 x 2))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps (*.f64 x 1)))) |
(*.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 (+.f64 eps (*.f64 x 2))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps (*.f64 x 1)))) |
(*.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 (+.f64 eps (*.f64 x 2))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps (*.f64 x 1)))) |
(*.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 (+.f64 eps (*.f64 x 2))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps (*.f64 x 1)))) |
(*.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 (+.f64 eps (*.f64 x 2))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps (*.f64 x 1)))) |
(*.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 (+.f64 eps (*.f64 x 2))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps (*.f64 x 1)))) |
(*.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 (+.f64 eps (*.f64 x 2))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps (*.f64 x 1)))) |
(*.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 (+.f64 eps (*.f64 x 2))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps (*.f64 x 1)))) |
(*.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 x (cos.f64 (*.f64 1/2 eps))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 x (cos.f64 (*.f64 1/2 eps)) (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 x (cos.f64 (*.f64 1/2 eps))) (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 x (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) |
(fma.f64 x (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) (*.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) 1) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 x (cos.f64 (*.f64 1/2 eps)) (*.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) 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 x (cos.f64 (*.f64 1/2 eps))) (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 x (cos.f64 (*.f64 1/2 eps)) (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 x (cos.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 -1/6 (pow.f64 x 3)) (sin.f64 (*.f64 1/2 eps)))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) 1) (sin.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 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 (+.f64 eps (*.f64 x 2))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps (*.f64 x 1)))) |
(*.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 (+.f64 eps (*.f64 x 2))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps (*.f64 x 1)))) |
(*.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 (+.f64 eps (*.f64 x 2))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps (*.f64 x 1)))) |
(*.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 (+.f64 eps (*.f64 x 2))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps (*.f64 x 1)))) |
(*.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 (+.f64 eps (*.f64 x 2))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps (*.f64 x 1)))) |
(*.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 (+.f64 eps (*.f64 x 2))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps (*.f64 x 1)))) |
(*.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 (+.f64 eps (*.f64 x 2))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps (*.f64 x 1)))) |
(*.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 (+.f64 eps (*.f64 x 2))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps (*.f64 x 1)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x))) |
x |
(+.f64 (*.f64 1/2 eps) x) |
(fma.f64 1/2 eps x) |
(+.f64 (*.f64 1/2 eps) x) |
(fma.f64 1/2 eps x) |
(+.f64 (*.f64 1/2 eps) x) |
(fma.f64 1/2 eps x) |
(*.f64 1/2 eps) |
(+.f64 (*.f64 1/2 eps) x) |
(fma.f64 1/2 eps x) |
(+.f64 (*.f64 1/2 eps) x) |
(fma.f64 1/2 eps x) |
(+.f64 (*.f64 1/2 eps) x) |
(fma.f64 1/2 eps x) |
(*.f64 1/2 eps) |
(+.f64 (*.f64 1/2 eps) x) |
(fma.f64 1/2 eps x) |
(+.f64 (*.f64 1/2 eps) x) |
(fma.f64 1/2 eps x) |
(+.f64 (*.f64 1/2 eps) x) |
(fma.f64 1/2 eps x) |
(*.f64 1/2 eps) |
(+.f64 (*.f64 1/2 eps) x) |
(fma.f64 1/2 eps x) |
(+.f64 (*.f64 1/2 eps) x) |
(fma.f64 1/2 eps x) |
(+.f64 (*.f64 1/2 eps) x) |
(fma.f64 1/2 eps x) |
x |
(+.f64 (*.f64 1/2 eps) x) |
(fma.f64 1/2 eps x) |
(+.f64 (*.f64 1/2 eps) x) |
(fma.f64 1/2 eps x) |
(+.f64 (*.f64 1/2 eps) x) |
(fma.f64 1/2 eps x) |
x |
(+.f64 (*.f64 1/2 eps) x) |
(fma.f64 1/2 eps x) |
(+.f64 (*.f64 1/2 eps) x) |
(fma.f64 1/2 eps x) |
(+.f64 (*.f64 1/2 eps) x) |
(fma.f64 1/2 eps x) |
(*.f64 -1 (*.f64 eps (sin.f64 x))) |
(*.f64 (neg.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)) (*.f64 (neg.f64 eps) (sin.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) -1/2)) (*.f64 (sin.f64 x) eps)) |
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x))))))) |
(fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (fma.f64 -1 (*.f64 (sin.f64 x) eps) (*.f64 (*.f64 -2 (pow.f64 eps 3)) (*.f64 (sin.f64 x) -1/12)))) |
(fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (-.f64 (*.f64 (pow.f64 eps 3) (*.f64 (*.f64 (sin.f64 x) -1/12) -2)) (*.f64 (sin.f64 x) eps))) |
(-.f64 (fma.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) 1/6) (*.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) -1/2))) (*.f64 (sin.f64 x) eps)) |
(-.f64 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) 1/6)) (*.f64 eps (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x)))) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x)))))))) |
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (fma.f64 -1 (*.f64 (sin.f64 x) eps) (*.f64 (*.f64 -2 (pow.f64 eps 3)) (*.f64 (sin.f64 x) -1/12))))) |
(+.f64 (-.f64 (*.f64 (pow.f64 eps 3) (*.f64 (*.f64 (sin.f64 x) -1/12) -2)) (*.f64 (sin.f64 x) eps)) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 4) 1/24) (*.f64 (*.f64 eps eps) -1/2)))) |
(fma.f64 (cos.f64 x) (fma.f64 (pow.f64 eps 4) 1/24 (*.f64 (*.f64 eps eps) -1/2)) (-.f64 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) 1/6)) (*.f64 (sin.f64 x) eps))) |
(fma.f64 (cos.f64 x) (fma.f64 (pow.f64 eps 4) 1/24 (*.f64 eps (*.f64 eps -1/2))) (*.f64 (sin.f64 x) (-.f64 (*.f64 -1/12 (*.f64 (pow.f64 eps 3) -2)) eps))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 x 2) (neg.f64 eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps (*.f64 x 1))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 x 2) (neg.f64 eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps (*.f64 x 1))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 x 2) (neg.f64 eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps (*.f64 x 1))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 x 2) (neg.f64 eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps (*.f64 x 1))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x)))) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))) |
(*.f64 -2 (fma.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x (cos.f64 (*.f64 1/2 eps))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 x (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (fma.f64 x (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))) -2)) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (fma.f64 x (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) |
(+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2)) (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))))) |
(fma.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 x x) (*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (*.f64 x (cos.f64 (*.f64 1/2 eps)))))) |
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (*.f64 x (cos.f64 (*.f64 1/2 eps))) -2)) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (+.f64 -2 (*.f64 x x)))) |
(fma.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) -2)) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (+.f64 (*.f64 x x) -2))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x -2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x x) -2)))) |
(+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2)) (+.f64 (*.f64 1/3 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)))) (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))))) |
(fma.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 x x) (fma.f64 1/3 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))) (*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (*.f64 x (cos.f64 (*.f64 1/2 eps))))))) |
(+.f64 (fma.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x (cos.f64 (*.f64 1/2 eps)))) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)) (*.f64 (sin.f64 (*.f64 1/2 eps)) 1/3))) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (+.f64 -2 (*.f64 x x)))) |
(fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (+.f64 (*.f64 x x) -2) (*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) (+.f64 (*.f64 x -2) (*.f64 (pow.f64 x 3) 1/3)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x x) -2)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x -2))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 x 2) (neg.f64 eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps (*.f64 x 1))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 x 2) (neg.f64 eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps (*.f64 x 1))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 x 2) (neg.f64 eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps (*.f64 x 1))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 x 2) (neg.f64 eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps (*.f64 x 1))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x)))) |
Compiled 6 to 6 computations (0% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.9b | (+.f64 (cos.f64 eps) -1) | |
| 0.3b | (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) | |
| 0.1b | (expm1.f64 (+.f64 (cos.f64 eps) -1)) | |
| 0.0b | (cos.f64 eps) | |
| 0.0b | (cos.f64 eps) | |
| ✓ | 0.1b | (expm1.f64 (+.f64 (cos.f64 eps) -1)) |
| ✓ | 0.3b | (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) |
| ✓ | 1.9b | (+.f64 (cos.f64 eps) -1) |
Compiled 21 to 13 computations (38.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | inf | (expm1.f64 (+.f64 (cos.f64 eps) -1)) |
| 0.0ms | eps | @ | 0 | (expm1.f64 (+.f64 (cos.f64 eps) -1)) |
| 0.0ms | eps | @ | 0 | (+.f64 (cos.f64 eps) -1) |
| 0.0ms | eps | @ | -inf | (expm1.f64 (+.f64 (cos.f64 eps) -1)) |
| 0.0ms | eps | @ | 0 | (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) |
| 1× | batch-egg-rewrite |
| 625× | pow1_binary64 |
| 580× | expm1-log1p-u_binary64 |
| 579× | add-log-exp_binary64 |
| 579× | log1p-expm1-u_binary64 |
| 568× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 1 | 126 | 20 |
| 2 | 1504 | 20 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (cos.f64 eps) -1) |
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) |
(expm1.f64 (+.f64 (cos.f64 eps) -1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (cos.f64 eps) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (neg.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 2)) (-.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (cos.f64 eps) -1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (cos.f64 eps) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (neg.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 2)) (-.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (cos.f64 eps) -1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 2) (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 3) 1) (+.f64 (*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (exp.f64 (+.f64 (cos.f64 eps) -1))) (+.f64 1 (*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (exp.f64 (+.f64 (cos.f64 eps) -1))) 1) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))))) |
| 1× | egg-herbie |
| 901× | distribute-rgt-out_binary64 |
| 620× | fma-def_binary64 |
| 579× | sqr-pow_binary64 |
| 545× | associate-*l*_binary64 |
| 520× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 370 |
| 1 | 101 | 370 |
| 2 | 226 | 370 |
| 3 | 717 | 370 |
| 4 | 3199 | 370 |
| 5 | 5100 | 370 |
| 6 | 6100 | 370 |
| 7 | 6437 | 370 |
| 8 | 6767 | 370 |
| 9 | 7136 | 370 |
| 10 | 7589 | 370 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 (pow.f64 eps 2)) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/40320 (pow.f64 eps 8))))) |
(-.f64 (cos.f64 eps) 1) |
(-.f64 (cos.f64 eps) 1) |
(-.f64 (cos.f64 eps) 1) |
(-.f64 (cos.f64 eps) 1) |
(-.f64 (cos.f64 eps) 1) |
(-.f64 (cos.f64 eps) 1) |
(-.f64 (cos.f64 eps) 1) |
(-.f64 (cos.f64 eps) 1) |
(*.f64 -1/2 (pow.f64 eps 2)) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/40320 (pow.f64 eps 8))))) |
(-.f64 (cos.f64 eps) 1) |
(-.f64 (cos.f64 eps) 1) |
(-.f64 (cos.f64 eps) 1) |
(-.f64 (cos.f64 eps) 1) |
(-.f64 (cos.f64 eps) 1) |
(-.f64 (cos.f64 eps) 1) |
(-.f64 (cos.f64 eps) 1) |
(-.f64 (cos.f64 eps) 1) |
(*.f64 -1/2 (pow.f64 eps 2)) |
(+.f64 (*.f64 1/6 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) |
(+.f64 (*.f64 1/6 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -31/720 (pow.f64 eps 6)))) |
(+.f64 (*.f64 1/6 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 379/40320 (pow.f64 eps 8)) (*.f64 -31/720 (pow.f64 eps 6))))) |
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1) |
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1) |
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1) |
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1) |
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1) |
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1) |
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1) |
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1) |
| Outputs |
|---|
(*.f64 -1/2 (pow.f64 eps 2)) |
(*.f64 -1/2 (*.f64 eps eps)) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) |
(fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps))) |
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) |
(*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) 1/24 -1/2))) |
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2))) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) |
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 -1/720 (pow.f64 eps 6)))) |
(fma.f64 -1/720 (pow.f64 eps 6) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))) |
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) 1/24 -1/2) (*.f64 -1/720 (pow.f64 eps 6))) |
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/720 (pow.f64 eps 6)))) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/40320 (pow.f64 eps 8))))) |
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 1/40320 (pow.f64 eps 8))))) |
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (fma.f64 1/40320 (pow.f64 eps 8) (*.f64 -1/2 (*.f64 eps eps))))) |
(fma.f64 (pow.f64 eps 4) (fma.f64 (pow.f64 eps 4) 1/40320 1/24) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 -1/2 (*.f64 eps eps)))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 1/40320 (pow.f64 eps 8)))) |
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(*.f64 -1/2 (pow.f64 eps 2)) |
(*.f64 -1/2 (*.f64 eps eps)) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) |
(fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps))) |
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) |
(*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) 1/24 -1/2))) |
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2))) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) |
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 -1/720 (pow.f64 eps 6)))) |
(fma.f64 -1/720 (pow.f64 eps 6) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))) |
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) 1/24 -1/2) (*.f64 -1/720 (pow.f64 eps 6))) |
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/720 (pow.f64 eps 6)))) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/40320 (pow.f64 eps 8))))) |
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 1/40320 (pow.f64 eps 8))))) |
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (fma.f64 1/40320 (pow.f64 eps 8) (*.f64 -1/2 (*.f64 eps eps))))) |
(fma.f64 (pow.f64 eps 4) (fma.f64 (pow.f64 eps 4) 1/40320 1/24) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 -1/2 (*.f64 eps eps)))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 1/40320 (pow.f64 eps 8)))) |
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(*.f64 -1/2 (pow.f64 eps 2)) |
(*.f64 -1/2 (*.f64 eps eps)) |
(+.f64 (*.f64 1/6 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) |
(fma.f64 1/6 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps))) |
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 (pow.f64 eps 4) 1/6)) |
(fma.f64 (pow.f64 eps 4) 1/6 (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) 1/6 -1/2))) |
(+.f64 (*.f64 1/6 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -31/720 (pow.f64 eps 6)))) |
(fma.f64 1/6 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 (pow.f64 eps 6) -31/720))) |
(fma.f64 (pow.f64 eps 4) 1/6 (fma.f64 (pow.f64 eps 6) -31/720 (*.f64 -1/2 (*.f64 eps eps)))) |
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 (pow.f64 eps 4) 1/6 (*.f64 (pow.f64 eps 6) -31/720))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/6) -1/2) (*.f64 (pow.f64 eps 6) -31/720)) |
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) 1/6 -1/2) (*.f64 (pow.f64 eps 6) -31/720)) |
(+.f64 (*.f64 1/6 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 379/40320 (pow.f64 eps 8)) (*.f64 -31/720 (pow.f64 eps 6))))) |
(fma.f64 1/6 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 379/40320 (pow.f64 eps 8) (*.f64 (pow.f64 eps 6) -31/720)))) |
(fma.f64 (pow.f64 eps 4) 1/6 (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 (pow.f64 eps 6) -31/720 (*.f64 (pow.f64 eps 8) 379/40320)))) |
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 (pow.f64 eps 4) 1/6 (fma.f64 (pow.f64 eps 6) -31/720 (*.f64 (pow.f64 eps 8) 379/40320)))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/6) -1/2) (fma.f64 (pow.f64 eps 6) -31/720 (*.f64 (pow.f64 eps 8) 379/40320))) |
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1) |
(expm1.f64 (+.f64 (cos.f64 eps) -1)) |
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1) |
(expm1.f64 (+.f64 (cos.f64 eps) -1)) |
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1) |
(expm1.f64 (+.f64 (cos.f64 eps) -1)) |
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1) |
(expm1.f64 (+.f64 (cos.f64 eps) -1)) |
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1) |
(expm1.f64 (+.f64 (cos.f64 eps) -1)) |
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1) |
(expm1.f64 (+.f64 (cos.f64 eps) -1)) |
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1) |
(expm1.f64 (+.f64 (cos.f64 eps) -1)) |
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1) |
(expm1.f64 (+.f64 (cos.f64 eps) -1)) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 x (sin.f64 eps)) | |
| 0.0b | (*.f64 (*.f64 x x) 1/2) | |
| 0.0b | (cos.f64 eps) | |
| 0.0b | (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (+.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 (*.f64 x x) (*.f64 -1/2 (cos.f64 eps))))) | |
| 0.1b | (*.f64 x (sin.f64 eps)) | |
| ✓ | 0.1b | (*.f64 (*.f64 x x) (*.f64 -1/2 (cos.f64 eps))) |
| ✓ | 1.7b | (-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (+.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 (*.f64 x x) (*.f64 -1/2 (cos.f64 eps)))))) 1) |
| ✓ | 10.8b | (+.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 (*.f64 x x) (*.f64 -1/2 (cos.f64 eps)))) |
Compiled 127 to 56 computations (55.9% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | inf | (+.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 (*.f64 x x) (*.f64 -1/2 (cos.f64 eps)))) |
| 1.0ms | x | @ | inf | (+.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 (*.f64 x x) (*.f64 -1/2 (cos.f64 eps)))) |
| 1.0ms | x | @ | 0 | (+.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 (*.f64 x x) (*.f64 -1/2 (cos.f64 eps)))) |
| 1.0ms | eps | @ | -inf | (+.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 (*.f64 x x) (*.f64 -1/2 (cos.f64 eps)))) |
| 1.0ms | eps | @ | 0 | (+.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 (*.f64 x x) (*.f64 -1/2 (cos.f64 eps)))) |
| 1× | batch-egg-rewrite |
| 813× | fma-neg_binary64 |
| 347× | log1p-udef_binary64 |
| 346× | expm1-udef_binary64 |
| 218× | add-sqr-sqrt_binary64 |
| 210× | *-un-lft-identity_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 59 |
| 1 | 426 | 56 |
| 2 | 6171 | 56 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 (*.f64 x x) (*.f64 -1/2 (cos.f64 eps)))) |
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (+.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 (*.f64 x x) (*.f64 -1/2 (cos.f64 eps)))))) 1) |
(*.f64 (*.f64 x x) (*.f64 -1/2 (cos.f64 eps))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 (*.f64 x x) (-.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))) (/.f64 (pow.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x))) 2) (*.f64 (*.f64 x x) (-.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (*.f64 x 1/2) (*.f64 x (*.f64 -1/2 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (*.f64 x (*.f64 -1/2 (cos.f64 eps))) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 x (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))) (cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))) 2)) (cbrt.f64 (*.f64 x (*.f64 x (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))) (*.f64 x (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8) (pow.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x))) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 (*.f64 -1/2 (*.f64 (cos.f64 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| 1× | egg-herbie |
| 601× | distribute-lft-out_binary64 |
| 533× | fma-def_binary64 |
| 453× | distribute-rgt-out_binary64 |
| 436× | *-commutative_binary64 |
| 309× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 1453 |
| 1 | 209 | 1228 |
| 2 | 628 | 1139 |
| 3 | 2608 | 1106 |
| 4 | 6341 | 1106 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 -1/48 (*.f64 (pow.f64 eps 4) (pow.f64 x 2)))))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (*.f64 (pow.f64 eps 6) (pow.f64 x 2))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 -1/48 (*.f64 (pow.f64 eps 4) (pow.f64 x 2))))))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 2)))) |
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2))))) |
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) x)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2)))))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))))) 1) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))))) 1) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))))) 1) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))))) 1) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))))) 1) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))))) 1) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))))) 1) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))))) 1) |
(-.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 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) |
(-.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 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) |
(-.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 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 -1/48 (*.f64 (pow.f64 eps 4) (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (*.f64 (pow.f64 eps 6) (pow.f64 x 2))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 -1/48 (*.f64 (pow.f64 eps 4) (pow.f64 x 2)))))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
| Outputs |
|---|
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x)) |
(*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x)) |
(*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x)) |
(*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x)) |
(*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x)) |
(*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x)) |
(*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x)) |
(*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x)) |
(*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x)) |
(*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x)) |
(*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x)) |
(*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x)) |
(*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 2))) |
(*.f64 (*.f64 x x) 0) |
0 |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))) |
(+.f64 (*.f64 (*.f64 x x) 0) (*.f64 1/4 (*.f64 (*.f64 x x) (*.f64 eps eps)))) |
(+.f64 0 (*.f64 (*.f64 x x) (*.f64 1/4 (*.f64 eps eps)))) |
(*.f64 eps (*.f64 eps (*.f64 x (*.f64 x 1/4)))) |
(*.f64 (*.f64 eps (*.f64 x x)) (*.f64 eps 1/4)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 -1/48 (*.f64 (pow.f64 eps 4) (pow.f64 x 2)))))) |
(+.f64 (*.f64 (*.f64 x x) 0) (fma.f64 1/4 (*.f64 (*.f64 x x) (*.f64 eps eps)) (*.f64 -1/48 (*.f64 (*.f64 x x) (pow.f64 eps 4))))) |
(+.f64 0 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/4 (*.f64 eps eps)) (*.f64 -1/48 (pow.f64 eps 4))))) |
(*.f64 (*.f64 x x) (fma.f64 -1/48 (pow.f64 eps 4) (*.f64 1/4 (*.f64 eps eps)))) |
(*.f64 (*.f64 x x) (fma.f64 -1/48 (pow.f64 eps 4) (*.f64 eps (*.f64 eps 1/4)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (*.f64 (pow.f64 eps 6) (pow.f64 x 2))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 -1/48 (*.f64 (pow.f64 eps 4) (pow.f64 x 2))))))) |
(+.f64 (*.f64 (*.f64 x x) 0) (fma.f64 1/1440 (*.f64 (*.f64 x x) (pow.f64 eps 6)) (fma.f64 1/4 (*.f64 (*.f64 x x) (*.f64 eps eps)) (*.f64 -1/48 (*.f64 (*.f64 x x) (pow.f64 eps 4)))))) |
(+.f64 0 (fma.f64 1/1440 (*.f64 x (*.f64 x (pow.f64 eps 6))) (*.f64 (*.f64 x x) (+.f64 (*.f64 1/4 (*.f64 eps eps)) (*.f64 -1/48 (pow.f64 eps 4)))))) |
(*.f64 (*.f64 x x) (+.f64 (fma.f64 1/1440 (pow.f64 eps 6) (*.f64 1/4 (*.f64 eps eps))) (*.f64 -1/48 (pow.f64 eps 4)))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 1/1440 (pow.f64 eps 6)) (fma.f64 -1/48 (pow.f64 eps 4) (*.f64 eps (*.f64 eps 1/4))))) |
(*.f64 x (*.f64 x (+.f64 (*.f64 1/1440 (pow.f64 eps 6)) (fma.f64 -1/48 (pow.f64 eps 4) (*.f64 eps (*.f64 eps 1/4)))))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x)) |
(*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x)) |
(*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x)) |
(*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x)) |
(*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x)) |
(*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x)) |
(*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x)) |
(*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x)) |
(*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 2))) |
(*.f64 (*.f64 x x) 0) |
0 |
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 2)))) |
(fma.f64 -1 (*.f64 eps x) (*.f64 (*.f64 x x) 0)) |
(*.f64 eps (neg.f64 x)) |
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2))))) |
(fma.f64 -1 (*.f64 eps x) (+.f64 (*.f64 (*.f64 x x) 0) (*.f64 (*.f64 eps eps) (fma.f64 1/4 (*.f64 x x) -1/2)))) |
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) 1/4 -1/2) eps) eps)) |
(*.f64 eps (+.f64 (*.f64 eps (fma.f64 x (*.f64 x 1/4) -1/2)) (neg.f64 x))) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 x x) 1/4 -1/2)) x)) |
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) x)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2)))))) |
(fma.f64 -1 (*.f64 eps x) (fma.f64 1/6 (*.f64 x (pow.f64 eps 3)) (+.f64 (*.f64 (*.f64 x x) 0) (*.f64 (*.f64 eps eps) (fma.f64 1/4 (*.f64 x x) -1/2))))) |
(-.f64 (fma.f64 1/6 (*.f64 x (pow.f64 eps 3)) (+.f64 0 (*.f64 (*.f64 (fma.f64 (*.f64 x x) 1/4 -1/2) eps) eps))) (*.f64 eps x)) |
(fma.f64 x (fma.f64 eps -1 (*.f64 1/6 (pow.f64 eps 3))) (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x 1/4) -1/2)))) |
(fma.f64 eps (*.f64 eps (fma.f64 (*.f64 x x) 1/4 -1/2)) (*.f64 x (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))))) 1) |
(+.f64 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (+.f64 (cos.f64 eps) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)))))) -1) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) (fma.f64 (neg.f64 x) (sin.f64 eps) -1))) |
(+.f64 (*.f64 x (-.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) x) (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)) |
(+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) x (neg.f64 (sin.f64 eps))) -1)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))))) 1) |
(+.f64 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (+.f64 (cos.f64 eps) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)))))) -1) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) (fma.f64 (neg.f64 x) (sin.f64 eps) -1))) |
(+.f64 (*.f64 x (-.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) x) (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)) |
(+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) x (neg.f64 (sin.f64 eps))) -1)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))))) 1) |
(+.f64 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (+.f64 (cos.f64 eps) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)))))) -1) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) (fma.f64 (neg.f64 x) (sin.f64 eps) -1))) |
(+.f64 (*.f64 x (-.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) x) (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)) |
(+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) x (neg.f64 (sin.f64 eps))) -1)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))))) 1) |
(+.f64 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (+.f64 (cos.f64 eps) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)))))) -1) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) (fma.f64 (neg.f64 x) (sin.f64 eps) -1))) |
(+.f64 (*.f64 x (-.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) x) (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)) |
(+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) x (neg.f64 (sin.f64 eps))) -1)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))))) 1) |
(+.f64 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (+.f64 (cos.f64 eps) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)))))) -1) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) (fma.f64 (neg.f64 x) (sin.f64 eps) -1))) |
(+.f64 (*.f64 x (-.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) x) (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)) |
(+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) x (neg.f64 (sin.f64 eps))) -1)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))))) 1) |
(+.f64 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (+.f64 (cos.f64 eps) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)))))) -1) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) (fma.f64 (neg.f64 x) (sin.f64 eps) -1))) |
(+.f64 (*.f64 x (-.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) x) (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)) |
(+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) x (neg.f64 (sin.f64 eps))) -1)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))))) 1) |
(+.f64 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (+.f64 (cos.f64 eps) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)))))) -1) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) (fma.f64 (neg.f64 x) (sin.f64 eps) -1))) |
(+.f64 (*.f64 x (-.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) x) (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)) |
(+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) x (neg.f64 (sin.f64 eps))) -1)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))))) 1) |
(+.f64 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (+.f64 (cos.f64 eps) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)))))) -1) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) (fma.f64 (neg.f64 x) (sin.f64 eps) -1))) |
(+.f64 (*.f64 x (-.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) x) (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)) |
(+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) x (neg.f64 (sin.f64 eps))) -1)) |
(-.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 (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 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (+.f64 (cos.f64 eps) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)))))) -1) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) (fma.f64 (neg.f64 x) (sin.f64 eps) -1))) |
(+.f64 (*.f64 x (-.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) x) (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)) |
(+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) x (neg.f64 (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 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (+.f64 (cos.f64 eps) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)))))) -1) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) (fma.f64 (neg.f64 x) (sin.f64 eps) -1))) |
(+.f64 (*.f64 x (-.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) x) (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)) |
(+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) x (neg.f64 (sin.f64 eps))) -1)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x)) |
(*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) |
(+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) |
(fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x))) |
(-.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) (*.f64 x (sin.f64 eps))) |
(*.f64 x (-.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) x) (sin.f64 eps))) |
(*.f64 x (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) x (neg.f64 (sin.f64 eps)))) |
(-.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 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (+.f64 (cos.f64 eps) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)))))) -1) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) (fma.f64 (neg.f64 x) (sin.f64 eps) -1))) |
(+.f64 (*.f64 x (-.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) x) (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)) |
(+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) x (neg.f64 (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 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (+.f64 (cos.f64 eps) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)))))) -1) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) (fma.f64 (neg.f64 x) (sin.f64 eps) -1))) |
(+.f64 (*.f64 x (-.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) x) (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)) |
(+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) x (neg.f64 (sin.f64 eps))) -1)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x)) |
(*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) |
(+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) |
(fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x))) |
(-.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) (*.f64 x (sin.f64 eps))) |
(*.f64 x (-.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) x) (sin.f64 eps))) |
(*.f64 x (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) x (neg.f64 (sin.f64 eps)))) |
(-.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 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (+.f64 (cos.f64 eps) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)))))) -1) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) (fma.f64 (neg.f64 x) (sin.f64 eps) -1))) |
(+.f64 (*.f64 x (-.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) x) (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)) |
(+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) x (neg.f64 (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 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (+.f64 (cos.f64 eps) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)))))) -1) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) (fma.f64 (neg.f64 x) (sin.f64 eps) -1))) |
(+.f64 (*.f64 x (-.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) x) (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)) |
(+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) x (neg.f64 (sin.f64 eps))) -1)) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x))) |
(*.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x))) |
(*.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x))) |
(*.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x))) |
(*.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x))) |
(*.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x))) |
(*.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x))) |
(*.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x))) |
(*.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x))) |
(*.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x))) |
(*.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x))) |
(*.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x))) |
(*.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))) |
(fma.f64 -1/2 (*.f64 x x) (*.f64 1/4 (*.f64 (*.f64 x x) (*.f64 eps eps)))) |
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 1/4 (*.f64 eps eps)))) |
(*.f64 (*.f64 x x) (fma.f64 1/4 (*.f64 eps eps) -1/2)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 eps 1/4) eps -1/2))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 -1/48 (*.f64 (pow.f64 eps 4) (pow.f64 x 2))))) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/4 (*.f64 (*.f64 x x) (*.f64 eps eps)) (*.f64 -1/48 (*.f64 (*.f64 x x) (pow.f64 eps 4))))) |
(fma.f64 -1/2 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 (*.f64 1/4 (*.f64 eps eps)) (*.f64 -1/48 (pow.f64 eps 4))))) |
(*.f64 (*.f64 x x) (+.f64 -1/2 (fma.f64 -1/48 (pow.f64 eps 4) (*.f64 1/4 (*.f64 eps eps))))) |
(*.f64 (*.f64 x x) (+.f64 -1/2 (fma.f64 -1/48 (pow.f64 eps 4) (*.f64 eps (*.f64 eps 1/4))))) |
(*.f64 x (*.f64 x (+.f64 (*.f64 -1/48 (pow.f64 eps 4)) (fma.f64 (*.f64 eps 1/4) eps -1/2)))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (*.f64 (pow.f64 eps 6) (pow.f64 x 2))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 -1/48 (*.f64 (pow.f64 eps 4) (pow.f64 x 2)))))) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/1440 (*.f64 (*.f64 x x) (pow.f64 eps 6)) (fma.f64 1/4 (*.f64 (*.f64 x x) (*.f64 eps eps)) (*.f64 -1/48 (*.f64 (*.f64 x x) (pow.f64 eps 4)))))) |
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/4 (*.f64 eps eps)) (*.f64 -1/48 (pow.f64 eps 4)))) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 1/1440 (pow.f64 eps 6))))) |
(*.f64 (*.f64 x x) (+.f64 (fma.f64 -1/48 (pow.f64 eps 4) (*.f64 1/4 (*.f64 eps eps))) (+.f64 -1/2 (*.f64 1/1440 (pow.f64 eps 6))))) |
(*.f64 (*.f64 x x) (+.f64 (fma.f64 -1/48 (pow.f64 eps 4) (*.f64 eps (*.f64 eps 1/4))) (+.f64 -1/2 (*.f64 1/1440 (pow.f64 eps 6))))) |
(*.f64 x (*.f64 x (+.f64 (fma.f64 -1/48 (pow.f64 eps 4) (*.f64 eps (*.f64 eps 1/4))) (+.f64 -1/2 (*.f64 1/1440 (pow.f64 eps 6)))))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x))) |
(*.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x))) |
(*.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x))) |
(*.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x))) |
(*.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x))) |
(*.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x))) |
(*.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x))) |
(*.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) |
(*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x))) |
(*.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x))) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) | |
| 0.2b | (*.f64 (+.f64 x (+.f64 x eps)) 1/2) | |
| 0.1b | (exp.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) | |
| 0.0b | (+.f64 x (+.f64 x eps)) | |
| 0.2b | (*.f64 (+.f64 x (+.f64 x eps)) 1/2) | |
| 0.3b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) | |
| ✓ | 2.6b | (log.f64 (exp.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))) |
| 3.5b | (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) |
Compiled 122 to 53 computations (56.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | eps | @ | 0 | (log.f64 (exp.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))) |
| 0.0ms | x | @ | inf | (log.f64 (exp.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))) |
| 0.0ms | x | @ | 0 | (log.f64 (exp.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))) |
| 0.0ms | x | @ | -inf | (log.f64 (exp.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))) |
| 0.0ms | eps | @ | -inf | (log.f64 (exp.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))) |
| 1× | batch-egg-rewrite |
| 591× | log-prod_binary64 |
| 559× | fma-def_binary64 |
| 260× | fma-neg_binary64 |
| 229× | expm1-udef_binary64 |
| 229× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 26 |
| 1 | 367 | 12 |
| 2 | 5038 | 12 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (exp.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))) (*.f64 2 (*.f64 1/3 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))) (*.f64 1/2 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) (*.f64 1/3 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 eps 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))) (cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) 2)) (cbrt.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) (log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))) -2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) (*.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))) 2) (*.f64 (cbrt.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))) (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 -2) (sin.f64 (*.f64 eps 1/2))) (*.f64 (sqrt.f64 -2) (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) (log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))) -2) (sqrt.f64 (sin.f64 (*.f64 eps 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))) (*.f64 (sqrt.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))) (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 1/3 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))) (cbrt.f64 (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sqrt.f64 (sin.f64 (*.f64 eps 1/2)))) (sqrt.f64 (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (pow.f64 (cbrt.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))) 2)) (cbrt.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sqrt.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))) (sqrt.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -2) (sin.f64 (*.f64 eps 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) 3) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) (pow.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))))))) |
| 1× | egg-herbie |
| 496× | neg-sub0_binary64 |
| 469× | neg-mul-1_binary64 |
| 352× | associate-*l*_binary64 |
| 345× | fma-neg_binary64 |
| 342× | unswap-sqr_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 640 |
| 1 | 204 | 588 |
| 2 | 564 | 512 |
| 3 | 2414 | 502 |
| 4 | 6248 | 502 |
| 1× | node limit |
| Inputs |
|---|
(*.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 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x))))))) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x)))))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))) |
(+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2)) (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))))) |
(+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2)) (+.f64 (*.f64 1/3 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)))) (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) |
| Outputs |
|---|
(*.f64 -1 (*.f64 eps (sin.f64 x))) |
(*.f64 (neg.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)) (*.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)))) |
(-.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2))) (*.f64 eps (sin.f64 x))) |
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x))))))) |
(fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (fma.f64 -1 (*.f64 eps (sin.f64 x)) (*.f64 (*.f64 -2 (pow.f64 eps 3)) (*.f64 (sin.f64 x) -1/12)))) |
(fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (fma.f64 -2 (*.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) -1/12) (*.f64 eps (neg.f64 (sin.f64 x))))) |
(-.f64 (fma.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))) (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) 1/6))) (*.f64 eps (sin.f64 x))) |
(fma.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) 1/6) (*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x)))))))) |
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (fma.f64 -1 (*.f64 eps (sin.f64 x)) (*.f64 (*.f64 -2 (pow.f64 eps 3)) (*.f64 (sin.f64 x) -1/12))))) |
(+.f64 (fma.f64 -2 (*.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) -1/12) (*.f64 eps (neg.f64 (sin.f64 x)))) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 eps eps))))) |
(-.f64 (fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2))) (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) 1/6))) (*.f64 eps (sin.f64 x))) |
(fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2))) (*.f64 (sin.f64 x) (-.f64 (*.f64 (*.f64 -2 (pow.f64 eps 3)) -1/12) eps))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) |
(*.f64 (sin.f64 (fma.f64 eps 1/2 x)) (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))) |
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (fma.f64 eps 1/2 x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) |
(*.f64 (sin.f64 (fma.f64 eps 1/2 x)) (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))) |
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (fma.f64 eps 1/2 x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) |
(*.f64 (sin.f64 (fma.f64 eps 1/2 x)) (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))) |
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (fma.f64 eps 1/2 x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) |
(*.f64 (sin.f64 (fma.f64 eps 1/2 x)) (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))) |
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (fma.f64 eps 1/2 x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) |
(*.f64 (sin.f64 (fma.f64 eps 1/2 x)) (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))) |
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (fma.f64 eps 1/2 x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) |
(*.f64 (sin.f64 (fma.f64 eps 1/2 x)) (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))) |
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (fma.f64 eps 1/2 x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) |
(*.f64 (sin.f64 (fma.f64 eps 1/2 x)) (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))) |
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (fma.f64 eps 1/2 x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) |
(*.f64 (sin.f64 (fma.f64 eps 1/2 x)) (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))) |
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (fma.f64 eps 1/2 x)))) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) |
(+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))) |
(*.f64 -2 (+.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 x (cos.f64 (*.f64 eps 1/2)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 x (cos.f64 (*.f64 eps 1/2)))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (+.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 x (cos.f64 (*.f64 eps 1/2))))) |
(+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2)) (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))))) |
(fma.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (fma.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (*.f64 x x) (*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 x (cos.f64 (*.f64 eps 1/2))))))) |
(+.f64 (*.f64 -2 (*.f64 x (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 eps 1/2))))) (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (+.f64 -2 (*.f64 x x)))) |
(fma.f64 -2 (*.f64 x (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 eps 1/2)))) (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (+.f64 -2 (*.f64 x x)))) |
(*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 (cos.f64 (*.f64 eps 1/2)) (*.f64 x -2)) (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 -2 (*.f64 x x))))) |
(+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2)) (+.f64 (*.f64 1/3 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)))) (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))))) |
(fma.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (fma.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (*.f64 x x) (fma.f64 1/3 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (cos.f64 (*.f64 eps 1/2)) (pow.f64 x 3))) (*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 x (cos.f64 (*.f64 eps 1/2)))))))) |
(+.f64 (fma.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (*.f64 x (cos.f64 (*.f64 eps 1/2))) (*.f64 (*.f64 (cos.f64 (*.f64 eps 1/2)) (pow.f64 x 3)) (*.f64 (sin.f64 (*.f64 eps 1/2)) 1/3))) (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (+.f64 -2 (*.f64 x x)))) |
(fma.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (+.f64 -2 (*.f64 x x)) (*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 eps 1/2))) (+.f64 (*.f64 x -2) (*.f64 1/3 (pow.f64 x 3))))) |
(*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 (cos.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 x -2) (*.f64 1/3 (pow.f64 x 3)))) (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 -2 (*.f64 x x))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) |
(*.f64 (sin.f64 (fma.f64 eps 1/2 x)) (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))) |
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (fma.f64 eps 1/2 x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) |
(*.f64 (sin.f64 (fma.f64 eps 1/2 x)) (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))) |
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (fma.f64 eps 1/2 x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) |
(*.f64 (sin.f64 (fma.f64 eps 1/2 x)) (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))) |
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (fma.f64 eps 1/2 x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) |
(*.f64 (sin.f64 (fma.f64 eps 1/2 x)) (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))) |
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (fma.f64 eps 1/2 x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) |
(*.f64 (sin.f64 (fma.f64 eps 1/2 x)) (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))) |
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (fma.f64 eps 1/2 x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) |
(*.f64 (sin.f64 (fma.f64 eps 1/2 x)) (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))) |
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (fma.f64 eps 1/2 x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) |
(*.f64 (sin.f64 (fma.f64 eps 1/2 x)) (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))) |
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (fma.f64 eps 1/2 x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) |
(*.f64 (sin.f64 (fma.f64 eps 1/2 x)) (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))) |
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (fma.f64 eps 1/2 x)))) |
Compiled 13815 to 9038 computations (34.6% saved)
82 alts after pruning (78 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 614 | 24 | 638 |
| Fresh | 16 | 54 | 70 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 4 | 6 |
| Total | 633 | 82 | 715 |
| Status | Error | Program |
|---|---|---|
| ▶ | 51.7b | (*.f64 eps (neg.f64 x)) |
| 53.5b | (log.f64 (exp.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 x)))) | |
| 26.6b | (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) | |
| 13.8b | (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (log1p.f64 (expm1.f64 (sin.f64 (fma.f64 1/2 eps x)))))) | |
| 33.8b | (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2) | |
| 49.0b | (*.f64 -1/2 (*.f64 eps eps)) | |
| ▶ | 45.8b | (log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) -1))) |
| 13.8b | (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (+.f64 x (*.f64 1/2 eps))))) | |
| 26.6b | (log.f64 (exp.f64 (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))) | |
| 41.3b | (fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) | |
| 31.1b | (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (+.f64 (*.f64 1/3 (*.f64 x x)) -2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x x) -2)))) | |
| 35.8b | (*.f64 eps (neg.f64 (sin.f64 x))) | |
| 54.9b | (log.f64 (+.f64 1 (*.f64 -1 (*.f64 eps (sin.f64 x))))) | |
| 49.2b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (sqrt.f64 (*.f64 1/4 (*.f64 eps eps))))) | |
| ▶ | 40.8b | (log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) |
| ▶ | 0.3b | (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))))) |
| 41.0b | (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3) | |
| 56.1b | (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) | |
| 40.7b | (-.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 1) 1) | |
| 15.5b | (*.f64 (pow.f64 (cbrt.f64 -2) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) | |
| 14.1b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (+.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 (+.f64 x eps) 1/2))) (*.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 (+.f64 x eps) 1/2))))) | |
| 24.4b | (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (log.f64 (exp.f64 (sin.f64 (fma.f64 1/2 eps x)))))) | |
| 48.1b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (expm1.f64 (log1p.f64 eps)) 1/2))) | |
| 47.0b | (pow.f64 (sqrt.f64 (*.f64 (sin.f64 (fma.f64 1/2 eps x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))) 2) | |
| 49.9b | (log.f64 (exp.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (/.f64 (*.f64 (*.f64 eps eps) 1/2) eps))))) | |
| 28.9b | (*.f64 eps (-.f64 (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) | |
| 30.6b | (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps))))) | |
| 33.8b | (*.f64 1/3 (*.f64 3 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) | |
| 44.4b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (pow.f64 (cbrt.f64 (*.f64 eps 1/2)) 3))) | |
| 28.9b | (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))) | |
| 40.6b | (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) | |
| 40.7b | (-.f64 (log.f64 (exp.f64 (cos.f64 eps))) 1) | |
| 33.8b | (*.f64 3 (*.f64 1/3 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) | |
| 53.5b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (/.f64 (pow.f64 eps 3) (*.f64 eps eps)) 1/2))) | |
| 45.8b | (-.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) 1) | |
| 26.6b | (-.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x)) | |
| ✓ | 40.8b | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 33.6b | (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) | |
| 40.7b | (/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1))) | |
| ▶ | 29.2b | (*.f64 -2 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))))) |
| 40.4b | (/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) | |
| 26.6b | (log.f64 (exp.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) | |
| 40.6b | (log.f64 (exp.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))) | |
| 41.3b | (fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x))))) | |
| 38.3b | (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) (pow.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) 3))) | |
| 41.9b | (-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x)) | |
| 44.7b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (fma.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (/.f64 1 (-.f64 x eps)) (neg.f64 x)) 1/2))) | |
| ✓ | 40.6b | (-.f64 (cos.f64 eps) 1) |
| 43.1b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (/.f64 (*.f64 eps eps) eps) 1/2))) | |
| ✓ | 40.6b | (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) |
| 34.7b | (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x))) | |
| 42.2b | (-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x)))) 1) | |
| 47.9b | (*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1)) | |
| ✓ | 55.4b | (-.f64 1 1) |
| 38.3b | (cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) 3)) | |
| 40.5b | (-.f64 (cos.f64 eps) (cos.f64 x)) | |
| 34.5b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2))) | |
| 40.6b | (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) | |
| 54.7b | (log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2))) | |
| 45.7b | (-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x)) | |
| 54.8b | (sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2)) | |
| 54.3b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (/.f64 1 (/.f64 (*.f64 eps eps) (pow.f64 eps 3))) 1/2))) | |
| 40.9b | (neg.f64 (log.f64 (/.f64 (exp.f64 (cos.f64 x)) (exp.f64 (cos.f64 (+.f64 x eps)))))) | |
| 44.4b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) | |
| 33.8b | (log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) | |
| 43.2b | (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (/.f64 (+.f64 (pow.f64 (*.f64 1/2 eps) 3) (pow.f64 x 3)) (fma.f64 1/4 (*.f64 eps eps) (-.f64 (*.f64 x x) (*.f64 (*.f64 1/2 eps) x))))))) | |
| 0.3b | (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))))) | |
| 26.6b | (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x))))) | |
| 54.6b | (sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) | |
| 41.0b | (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 3)) | |
| 48.0b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (expm1.f64 (log1p.f64 (*.f64 eps 1/2))))) | |
| 26.6b | (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) | |
| 31.1b | (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 (cos.f64 (*.f64 eps 1/2)) (*.f64 x -2)) (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 -2 (*.f64 x x))))) | |
| 37.7b | (-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps))) | |
| 45.3b | (*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 x x) 1/4 -1/2)) x)) | |
| 35.9b | (/.f64 (*.f64 -2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) | |
| 40.8b | (*.f64 1/3 (*.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) | |
| 26.8b | (log.f64 (/.f64 (pow.f64 (exp.f64 1) (*.f64 (cos.f64 x) (cos.f64 eps))) (pow.f64 (exp.f64 1) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))) | |
| 49.4b | (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2)) | |
| 40.8b | (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3) | |
| 32.5b | (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 1/2 eps x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2)) 3)) | |
| 26.6b | (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))) |
Compiled 2568 to 1931 computations (24.8% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x)) | |
| 0.1b | (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) | |
| 0.1b | (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))) | |
| 0.0b | (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))))) | |
| ✓ | 0.1b | (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))) |
| ✓ | 0.1b | (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) |
| ✓ | 0.1b | (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x)) |
| ✓ | 0.2b | (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x)))) |
Compiled 92 to 59 computations (35.9% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x)))) |
| 1.0ms | eps | @ | inf | (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x)))) |
| 1.0ms | eps | @ | -inf | (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x)))) |
| 1.0ms | x | @ | -inf | (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x)))) |
| 1.0ms | x | @ | 0 | (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x)) |
| 1× | batch-egg-rewrite |
| 719× | log-prod_binary64 |
| 543× | fma-def_binary64 |
| 374× | pow2_binary64 |
| 268× | fma-neg_binary64 |
| 261× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 74 |
| 1 | 280 | 44 |
| 2 | 3878 | 44 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x)))) |
(*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x)) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) |
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))) (*.f64 (cos.f64 x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1) (*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (fma.f64 1/2 eps x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (fma.f64 1/2 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (fma.f64 1/2 eps x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (fma.f64 1/2 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 2) (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))) 2) (*.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 2) (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))) 2)) (-.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) 3) (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x)) 3)) (sin.f64 (*.f64 1/2 eps))) (fma.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x)) (sin.f64 (-.f64 x (*.f64 1/2 eps))) (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (-.f64 (*.f64 1/2 eps) x))) (sin.f64 (*.f64 1/2 eps))) (sin.f64 (-.f64 (*.f64 1/2 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) 3) (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x)) 3))) (fma.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x)) (sin.f64 (-.f64 x (*.f64 1/2 eps))) (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (-.f64 (*.f64 1/2 eps) x)))) (sin.f64 (-.f64 (*.f64 1/2 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (fma.f64 1/2 eps x))) (cos.f64 (+.f64 (*.f64 1/2 eps) (fma.f64 1/2 eps x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 1/2 eps x) (*.f64 1/2 eps))) (cos.f64 (+.f64 (fma.f64 1/2 eps x) (*.f64 1/2 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (-.f64 (*.f64 1/2 eps) x))) 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)) (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 (sin.f64 (*.f64 1/2 eps)))) (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 eps))) 2)) (cbrt.f64 (cos.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 x) (sqrt.f64 (cos.f64 (*.f64 1/2 eps)))) (sqrt.f64 (cos.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (fma.f64 1/2 eps x)))))))) |
| 1× | egg-herbie |
| 568× | distribute-rgt-out_binary64 |
| 496× | distribute-lft-out_binary64 |
| 461× | associate-*l*_binary64 |
| 442× | associate-*r*_binary64 |
| 424× | sqr-pow_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 126 | 2059 |
| 1 | 367 | 2026 |
| 2 | 1103 | 1943 |
| 3 | 3051 | 1903 |
| 4 | 5279 | 1903 |
| 5 | 6446 | 1903 |
| 6 | 6680 | 1903 |
| 7 | 6970 | 1903 |
| 8 | 7322 | 1903 |
| 9 | 7760 | 1903 |
| 1× | node limit |
| Inputs |
|---|
(*.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 (+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 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 (+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps))) |
(sin.f64 x) |
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (sin.f64 x)) |
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/384 (*.f64 (pow.f64 eps 4) (sin.f64 x))))) |
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 -1/46080 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/384 (*.f64 (pow.f64 eps 4) (sin.f64 x)))))) |
(*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))) |
(*.f64 (cos.f64 (*.f64 1/2 eps)) x) |
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (*.f64 -1/6 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)))) |
(+.f64 (*.f64 1/120 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 5))) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (*.f64 -1/6 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))))) |
(+.f64 (*.f64 -1/5040 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 7))) (+.f64 (*.f64 1/120 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 5))) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (*.f64 -1/6 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)))))) |
(*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))) |
(*.f64 1/2 (*.f64 eps (cos.f64 x))) |
(+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 1/2 (*.f64 eps (cos.f64 x)))) |
(+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (*.f64 1/3840 (*.f64 (pow.f64 eps 5) (cos.f64 x))))) |
(+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (+.f64 (*.f64 1/3840 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (*.f64 -1/645120 (*.f64 (pow.f64 eps 7) (cos.f64 x)))))) |
(*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) |
(sin.f64 (*.f64 1/2 eps)) |
(+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/24 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 4))) (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/720 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 6))) (+.f64 (*.f64 1/24 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 4))) (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2)))))) |
(*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) |
(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)))) |
(+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(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)))))) |
(+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
| Outputs |
|---|
(*.f64 1/2 (*.f64 eps (sin.f64 x))) |
(*.f64 (*.f64 1/2 eps) (sin.f64 x)) |
(*.f64 eps (*.f64 1/2 (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 (*.f64 eps eps) (cos.f64 x)) (*.f64 (*.f64 1/2 eps) (sin.f64 x))) |
(fma.f64 1/2 (*.f64 eps (sin.f64 x)) (*.f64 1/4 (*.f64 eps (*.f64 eps (cos.f64 x))))) |
(fma.f64 1/2 (*.f64 eps (sin.f64 x)) (*.f64 1/4 (*.f64 (*.f64 eps eps) (cos.f64 x)))) |
(*.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 (*.f64 eps eps) (cos.f64 x)) (fma.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12) (*.f64 (*.f64 1/2 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 1/4 (*.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/2 eps) (*.f64 (pow.f64 eps 3) -1/12)))) |
(*.f64 eps (+.f64 (*.f64 eps (*.f64 1/4 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/12) 1/2)))) |
(+.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 (*.f64 eps eps) (cos.f64 x)) (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 (*.f64 1/2 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 1/2 (*.f64 eps (sin.f64 x)) (*.f64 -1/48 (*.f64 (cos.f64 x) (pow.f64 eps 4)))))) |
(+.f64 (*.f64 -1/48 (*.f64 (cos.f64 x) (pow.f64 eps 4))) (fma.f64 1/4 (*.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/2 eps) (*.f64 (pow.f64 eps 3) -1/12))))) |
(+.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/12) 1/2))) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (+.f64 1/4 (*.f64 (*.f64 eps eps) -1/48)))) |
(+.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/12) 1/2))) (*.f64 eps (*.f64 (*.f64 eps (cos.f64 x)) (+.f64 (*.f64 (*.f64 eps eps) -1/48) 1/4)))) |
(*.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))))) |
(*.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))))) |
(*.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))))) |
(*.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))))) |
(*.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))))) |
(*.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))))) |
(*.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))))) |
(*.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 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)) |
(fma.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x (cos.f64 (*.f64 1/2 eps))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 x (cos.f64 (*.f64 1/2 eps)) (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 x (cos.f64 (*.f64 1/2 eps))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 -1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 x x)))) |
(+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 (*.f64 x x) -1/2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 x (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) |
(fma.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x (cos.f64 (*.f64 1/2 eps))) (*.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)) (fma.f64 x (cos.f64 (*.f64 1/2 eps)) (*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (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 x (cos.f64 (*.f64 1/2 eps))) (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 -1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 x x))))) |
(+.f64 (fma.f64 -1/2 (*.f64 x (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (pow.f64 x 3) -1/6)))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 x (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) |
(+.f64 (*.f64 x (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 -1/2 x))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.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 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (sin.f64 (*.f64 1/2 eps))))) |
(*.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))))) |
(*.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))))) |
(*.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))))) |
(*.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))))) |
(*.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))))) |
(*.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))))) |
(*.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))))) |
(*.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))))) |
(sin.f64 x) |
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (sin.f64 x)) |
(fma.f64 -1/8 (*.f64 (sin.f64 x) (*.f64 eps eps)) (sin.f64 x)) |
(*.f64 (+.f64 (*.f64 (*.f64 eps eps) -1/8) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (+.f64 1 (*.f64 eps (*.f64 eps -1/8)))) |
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/384 (*.f64 (pow.f64 eps 4) (sin.f64 x))))) |
(+.f64 (fma.f64 -1/8 (*.f64 (sin.f64 x) (*.f64 eps eps)) (sin.f64 x)) (*.f64 1/384 (*.f64 (sin.f64 x) (pow.f64 eps 4)))) |
(fma.f64 -1/8 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 (+.f64 (*.f64 (pow.f64 eps 4) 1/384) 1) (sin.f64 x))) |
(*.f64 (sin.f64 x) (+.f64 (+.f64 1 (*.f64 eps (*.f64 eps -1/8))) (*.f64 (pow.f64 eps 4) 1/384))) |
(*.f64 (sin.f64 x) (+.f64 1 (*.f64 (*.f64 eps eps) (+.f64 -1/8 (*.f64 (*.f64 eps eps) 1/384))))) |
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 -1/46080 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/384 (*.f64 (pow.f64 eps 4) (sin.f64 x)))))) |
(fma.f64 -1/8 (*.f64 (sin.f64 x) (*.f64 eps eps)) (fma.f64 -1/46080 (*.f64 (sin.f64 x) (pow.f64 eps 6)) (+.f64 (sin.f64 x) (*.f64 1/384 (*.f64 (sin.f64 x) (pow.f64 eps 4)))))) |
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 eps 4) 1/384) 1) (sin.f64 x)) (*.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/8) (*.f64 -1/46080 (pow.f64 eps 6))))) |
(+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (+.f64 (+.f64 (*.f64 eps (*.f64 eps -1/8)) (*.f64 -1/46080 (pow.f64 eps 6))) (*.f64 (pow.f64 eps 4) 1/384)))) |
(*.f64 (sin.f64 x) (+.f64 (+.f64 (*.f64 (pow.f64 eps 4) 1/384) (*.f64 -1/46080 (pow.f64 eps 6))) (+.f64 1 (*.f64 eps (*.f64 eps -1/8))))) |
(*.f64 (sin.f64 x) (+.f64 (+.f64 1 (*.f64 (pow.f64 eps 4) 1/384)) (+.f64 (*.f64 eps (*.f64 eps -1/8)) (*.f64 -1/46080 (pow.f64 eps 6))))) |
(*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))) |
(*.f64 (cos.f64 (*.f64 1/2 eps)) x) |
(*.f64 x (cos.f64 (*.f64 1/2 eps))) |
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (*.f64 -1/6 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)))) |
(fma.f64 (cos.f64 (*.f64 1/2 eps)) x (*.f64 -1/6 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)))) |
(fma.f64 x (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (pow.f64 x 3) -1/6))) |
(*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/120 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 5))) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (*.f64 -1/6 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))))) |
(fma.f64 1/120 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 5)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (*.f64 -1/6 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))))) |
(fma.f64 1/120 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 5)) (fma.f64 x (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (pow.f64 x 3) -1/6)))) |
(fma.f64 1/120 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 5)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))) |
(*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5))))) |
(+.f64 (*.f64 -1/5040 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 7))) (+.f64 (*.f64 1/120 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 5))) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (*.f64 -1/6 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)))))) |
(fma.f64 -1/5040 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 7)) (fma.f64 1/120 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 5)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (*.f64 -1/6 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)))))) |
(fma.f64 -1/5040 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 7)) (fma.f64 1/120 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 5)) (fma.f64 x (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (pow.f64 x 3) -1/6))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7))))) |
(*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (*.f64 1/120 (pow.f64 x 5))))) |
(*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (*.f64 1/120 (pow.f64 x 5))) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))) |
(*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps))) |
(*.f64 1/2 (*.f64 eps (cos.f64 x))) |
(+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 1/2 (*.f64 eps (cos.f64 x)))) |
(fma.f64 -1/48 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 1/2 (*.f64 eps (cos.f64 x)))) |
(*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 3) -1/48) (*.f64 1/2 eps))) |
(*.f64 (cos.f64 x) (+.f64 (*.f64 1/2 eps) (*.f64 (pow.f64 eps 3) -1/48))) |
(+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (*.f64 1/3840 (*.f64 (pow.f64 eps 5) (cos.f64 x))))) |
(fma.f64 -1/48 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (*.f64 1/3840 (*.f64 (cos.f64 x) (pow.f64 eps 5))))) |
(fma.f64 -1/48 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/2 eps) (*.f64 1/3840 (pow.f64 eps 5))))) |
(*.f64 (cos.f64 x) (+.f64 (+.f64 (*.f64 1/2 eps) (*.f64 (pow.f64 eps 3) -1/48)) (*.f64 1/3840 (pow.f64 eps 5)))) |
(*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 3) -1/48) (+.f64 (*.f64 1/2 eps) (*.f64 1/3840 (pow.f64 eps 5))))) |
(+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (+.f64 (*.f64 1/3840 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (*.f64 -1/645120 (*.f64 (pow.f64 eps 7) (cos.f64 x)))))) |
(fma.f64 -1/48 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (fma.f64 1/3840 (*.f64 (cos.f64 x) (pow.f64 eps 5)) (*.f64 -1/645120 (*.f64 (cos.f64 x) (pow.f64 eps 7)))))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 1/3840 (pow.f64 eps 5)) (*.f64 -1/645120 (pow.f64 eps 7)))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 3) -1/48) (*.f64 1/2 eps)))) |
(*.f64 (cos.f64 x) (+.f64 (+.f64 (*.f64 -1/645120 (pow.f64 eps 7)) (*.f64 1/3840 (pow.f64 eps 5))) (+.f64 (*.f64 1/2 eps) (*.f64 (pow.f64 eps 3) -1/48)))) |
(*.f64 (cos.f64 x) (+.f64 (*.f64 1/3840 (pow.f64 eps 5)) (+.f64 (*.f64 -1/645120 (pow.f64 eps 7)) (+.f64 (*.f64 1/2 eps) (*.f64 (pow.f64 eps 3) -1/48))))) |
(*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) |
(sin.f64 (*.f64 1/2 eps)) |
(+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2)))) |
(+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (*.f64 -1/2 (sin.f64 (*.f64 1/2 eps))) (*.f64 x x))) |
(fma.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) -1/2) (*.f64 x x) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (+.f64 (*.f64 (*.f64 -1/2 x) x) 1) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (sin.f64 (*.f64 1/2 eps))) |
(+.f64 (*.f64 1/24 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 4))) (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))))) |
(fma.f64 1/24 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 4)) (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (*.f64 -1/2 (sin.f64 (*.f64 1/2 eps))) (*.f64 x x)))) |
(fma.f64 1/24 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 4)) (fma.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) -1/2) (*.f64 x x) (sin.f64 (*.f64 1/2 eps)))) |
(+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 (*.f64 -1/2 x) x)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 1 (*.f64 x (*.f64 x -1/2))))) |
(+.f64 (*.f64 -1/720 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 6))) (+.f64 (*.f64 1/24 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 4))) (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2)))))) |
(fma.f64 -1/720 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 6)) (fma.f64 1/24 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 4)) (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (*.f64 -1/2 (sin.f64 (*.f64 1/2 eps))) (*.f64 x x))))) |
(fma.f64 -1/720 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 6)) (fma.f64 1/24 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 4)) (fma.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) -1/2) (*.f64 x x) (sin.f64 (*.f64 1/2 eps))))) |
(+.f64 (*.f64 (+.f64 (*.f64 (*.f64 -1/2 x) x) 1) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) |
(+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))) |
(*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) |
(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 -1/8 (*.f64 eps (*.f64 eps (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 -1/48 (*.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)))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 3) -1/48) (*.f64 1/2 eps))) (*.f64 (+.f64 (*.f64 (*.f64 eps eps) -1/8) 1) (sin.f64 x))) |
(+.f64 (fma.f64 -1/8 (*.f64 (sin.f64 x) (*.f64 eps eps)) (sin.f64 x)) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/2 eps) (*.f64 (pow.f64 eps 3) -1/48)))) |
(+.f64 (*.f64 (sin.f64 x) (+.f64 1 (*.f64 eps (*.f64 eps -1/8)))) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/2 eps) (*.f64 (pow.f64 eps 3) -1/48)))) |
(+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(fma.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)))) |
(+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(fma.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)))) |
(+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(fma.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)))) |
(+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(fma.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)))) |
(+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(fma.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)))) |
(+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(fma.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)))) |
(+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(fma.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)))) |
(+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(fma.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)))) |
(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))) |
(fma.f64 x (cos.f64 (*.f64 1/2 eps)) (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 x (cos.f64 (*.f64 1/2 eps)) (fma.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) -1/2) (*.f64 x x) (sin.f64 (*.f64 1/2 eps)))) |
(fma.f64 x (cos.f64 (*.f64 1/2 eps)) (*.f64 (+.f64 (*.f64 (*.f64 -1/2 x) x) 1) (sin.f64 (*.f64 1/2 eps)))) |
(fma.f64 x (cos.f64 (*.f64 1/2 eps)) (*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (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 -1/6 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)) (*.f64 (*.f64 x x) (*.f64 (sin.f64 (*.f64 1/2 eps)) -1/2))) (fma.f64 x (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) |
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (*.f64 (+.f64 (*.f64 (*.f64 -1/2 x) x) 1) (sin.f64 (*.f64 1/2 eps)))) |
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (sin.f64 (*.f64 1/2 eps)))) |
(+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(fma.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)))) |
(+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(fma.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)))) |
(+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(fma.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)))) |
(+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(fma.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)))) |
(+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(fma.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)))) |
(+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(fma.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)))) |
(+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(fma.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)))) |
(+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(fma.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))) |
(fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)))) |
Compiled 10 to 4 computations (60% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 eps (*.f64 (cos.f64 x) 1/4)) | |
| 0.1b | (*.f64 eps (+.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps)))))) | |
| 0.0b | (+.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))) | |
| 0.0b | (*.f64 -2 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))))) | |
| ✓ | 0.1b | (*.f64 eps (+.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps)))))) |
| ✓ | 0.1b | (*.f64 eps (*.f64 (cos.f64 x) 1/4)) |
| ✓ | 0.2b | (*.f64 -1/12 (*.f64 eps eps)) |
| ✓ | 2.7b | (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps)))) |
Compiled 104 to 56 computations (46.2% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps)))) |
| 1.0ms | eps | @ | inf | (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps)))) |
| 1.0ms | x | @ | 0 | (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps)))) |
| 1.0ms | eps | @ | 0 | (*.f64 eps (*.f64 (cos.f64 x) 1/4)) |
| 1.0ms | eps | @ | inf | (*.f64 eps (*.f64 (cos.f64 x) 1/4)) |
| 1× | batch-egg-rewrite |
| 894× | log-prod_binary64 |
| 652× | fma-def_binary64 |
| 307× | expm1-udef_binary64 |
| 307× | log1p-udef_binary64 |
| 297× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 58 |
| 1 | 355 | 54 |
| 2 | 4881 | 54 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps)))) |
(*.f64 -1/12 (*.f64 eps eps)) |
(*.f64 eps (*.f64 (cos.f64 x) 1/4)) |
(*.f64 eps (+.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps)))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) 1/2) (*.f64 (sin.f64 x) (*.f64 -1/12 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (*.f64 -1/12 (*.f64 eps eps))) (*.f64 (sin.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 x) (fma.f64 -1/12 (*.f64 eps eps) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 x) 1/2) 1) (*.f64 (*.f64 (sin.f64 x) (*.f64 -1/12 (*.f64 eps eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2)) (sin.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2)) (sin.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2)) (sin.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 x) (*.f64 eps (sqrt.f64 -1/12))) (*.f64 eps (sqrt.f64 -1/12)) (*.f64 (sin.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 x) (*.f64 -1/12 eps)) eps (*.f64 (sin.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/12 (*.f64 eps eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)) (*.f64 (sin.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/12 (*.f64 eps eps)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (*.f64 (sin.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 -1/12 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 -1/12 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 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(*.f64 (sin.f64 x) (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) eps))) (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) 1/4))) (sqrt.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) 1/4))) (*.f64 (sin.f64 x) (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) 1/2)) (*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) 1/2)) (*.f64 (sin.f64 x) (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) 1/2) (sqrt.f64 eps)) (*.f64 (*.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) 1/2) (sqrt.f64 eps)) (*.f64 (sin.f64 x) (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 (*.f64 (sin.f64 x) (fma.f64 -1/12 (*.f64 eps eps) 1/2)))) (*.f64 (sqrt.f64 eps) (sqrt.f64 (*.f64 (sin.f64 x) (fma.f64 -1/12 (*.f64 eps eps) 1/2)))) (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (fma.f64 -1/12 (*.f64 eps eps) 1/2))) (sqrt.f64 eps)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (fma.f64 -1/12 (*.f64 eps eps) 1/2))) (sqrt.f64 eps)) (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (sin.f64 x)) (fma.f64 -1/12 (*.f64 eps eps) 1/2) (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4))) 2)) (cbrt.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4))) (*.f64 (sin.f64 x) (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (*.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) 1/2)) (*.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) 1/2) (*.f64 (sin.f64 x) (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) 1/4 (*.f64 (sin.f64 x) (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (*.f64 (sin.f64 x) (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 (sin.f64 x) (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (fma.f64 -1/12 (*.f64 eps eps) 1/2)) (sin.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (fma.f64 -1/12 (*.f64 eps eps) 1/2)) 2))) (cbrt.f64 (*.f64 (sin.f64 x) (fma.f64 -1/12 (*.f64 eps eps) 1/2))) (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (sqrt.f64 (*.f64 (sin.f64 x) (fma.f64 -1/12 (*.f64 eps eps) 1/2)))) (sqrt.f64 (*.f64 (sin.f64 x) (fma.f64 -1/12 (*.f64 eps eps) 1/2))) (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sin.f64 x) (fma.f64 -1/12 (*.f64 eps eps) 1/2)) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sin.f64 x) (fma.f64 -1/12 (*.f64 eps eps) 1/2)) (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) 1/4) (*.f64 (sin.f64 x) (fma.f64 -1/12 (*.f64 eps eps) 1/2)))))))))) |
| 1× | egg-herbie |
| 638× | associate-+l+_binary64 |
| 559× | associate-+r+_binary64 |
| 522× | fma-def_binary64 |
| 349× | associate-*l*_binary64 |
| 322× | distribute-lft-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 1479 |
| 1 | 254 | 1305 |
| 2 | 738 | 1250 |
| 3 | 2853 | 1228 |
| 4 | 6857 | 1228 |
| 5 | 7083 | 1228 |
| 6 | 7268 | 1228 |
| 7 | 7461 | 1228 |
| 8 | 7683 | 1228 |
| 9 | 7956 | 1228 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2))) x) |
(+.f64 (*.f64 -1/6 (*.f64 (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2))) (pow.f64 x 3))) (*.f64 (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2))) x)) |
(+.f64 (*.f64 1/120 (*.f64 (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2))) (pow.f64 x 5))) (+.f64 (*.f64 -1/6 (*.f64 (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2))) (pow.f64 x 3))) (*.f64 (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2))) x))) |
(+.f64 (*.f64 1/120 (*.f64 (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2))) (pow.f64 x 5))) (+.f64 (*.f64 -1/6 (*.f64 (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2))) (pow.f64 x 3))) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2))) x) (*.f64 -1/5040 (*.f64 (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2))) (pow.f64 x 7)))))) |
(*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2)))) |
(*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2)))) |
(*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2)))) |
(*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2)))) |
(*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2)))) |
(*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2)))) |
(*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2)))) |
(*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2)))) |
(*.f64 1/2 (sin.f64 x)) |
(+.f64 (*.f64 -1/12 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 1/2 (sin.f64 x))) |
(+.f64 (*.f64 -1/12 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 1/2 (sin.f64 x))) |
(+.f64 (*.f64 -1/12 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 1/2 (sin.f64 x))) |
(*.f64 -1/12 (*.f64 (pow.f64 eps 2) (sin.f64 x))) |
(+.f64 (*.f64 -1/12 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 1/2 (sin.f64 x))) |
(+.f64 (*.f64 -1/12 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 1/2 (sin.f64 x))) |
(+.f64 (*.f64 -1/12 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 1/2 (sin.f64 x))) |
(*.f64 -1/12 (*.f64 (pow.f64 eps 2) (sin.f64 x))) |
(+.f64 (*.f64 -1/12 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 1/2 (sin.f64 x))) |
(+.f64 (*.f64 -1/12 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 1/2 (sin.f64 x))) |
(+.f64 (*.f64 -1/12 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 1/2 (sin.f64 x))) |
(*.f64 -1/12 (pow.f64 eps 2)) |
(*.f64 -1/12 (pow.f64 eps 2)) |
(*.f64 -1/12 (pow.f64 eps 2)) |
(*.f64 -1/12 (pow.f64 eps 2)) |
(*.f64 -1/12 (pow.f64 eps 2)) |
(*.f64 -1/12 (pow.f64 eps 2)) |
(*.f64 -1/12 (pow.f64 eps 2)) |
(*.f64 -1/12 (pow.f64 eps 2)) |
(*.f64 -1/12 (pow.f64 eps 2)) |
(*.f64 -1/12 (pow.f64 eps 2)) |
(*.f64 -1/12 (pow.f64 eps 2)) |
(*.f64 -1/12 (pow.f64 eps 2)) |
(*.f64 1/4 (*.f64 eps (cos.f64 x))) |
(*.f64 1/4 (*.f64 eps (cos.f64 x))) |
(*.f64 1/4 (*.f64 eps (cos.f64 x))) |
(*.f64 1/4 (*.f64 eps (cos.f64 x))) |
(*.f64 1/4 (*.f64 eps (cos.f64 x))) |
(*.f64 1/4 (*.f64 eps (cos.f64 x))) |
(*.f64 1/4 (*.f64 eps (cos.f64 x))) |
(*.f64 1/4 (*.f64 eps (cos.f64 x))) |
(*.f64 1/4 (*.f64 eps (cos.f64 x))) |
(*.f64 1/4 (*.f64 eps (cos.f64 x))) |
(*.f64 1/4 (*.f64 eps (cos.f64 x))) |
(*.f64 1/4 (*.f64 eps (cos.f64 x))) |
(*.f64 1/4 eps) |
(+.f64 (*.f64 -1/8 (*.f64 eps (pow.f64 x 2))) (*.f64 1/4 eps)) |
(+.f64 (*.f64 -1/8 (*.f64 eps (pow.f64 x 2))) (+.f64 (*.f64 1/96 (*.f64 eps (pow.f64 x 4))) (*.f64 1/4 eps))) |
(+.f64 (*.f64 -1/2880 (*.f64 eps (pow.f64 x 6))) (+.f64 (*.f64 -1/8 (*.f64 eps (pow.f64 x 2))) (+.f64 (*.f64 1/96 (*.f64 eps (pow.f64 x 4))) (*.f64 1/4 eps)))) |
(*.f64 1/4 (*.f64 (cos.f64 x) eps)) |
(*.f64 1/4 (*.f64 (cos.f64 x) eps)) |
(*.f64 1/4 (*.f64 (cos.f64 x) eps)) |
(*.f64 1/4 (*.f64 (cos.f64 x) eps)) |
(*.f64 1/4 (*.f64 eps (cos.f64 x))) |
(*.f64 1/4 (*.f64 eps (cos.f64 x))) |
(*.f64 1/4 (*.f64 eps (cos.f64 x))) |
(*.f64 1/4 (*.f64 eps (cos.f64 x))) |
(*.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 -1/12 (*.f64 (pow.f64 eps 3) (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 -1/12 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x))))) |
(*.f64 -1/12 (*.f64 (pow.f64 eps 3) (sin.f64 x))) |
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1/12 (*.f64 (pow.f64 eps 3) (sin.f64 x)))) |
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 -1/12 (*.f64 (pow.f64 eps 3) (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 -1/12 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x))))) |
(*.f64 -1/12 (*.f64 (pow.f64 eps 3) (sin.f64 x))) |
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1/12 (*.f64 (pow.f64 eps 3) (sin.f64 x)))) |
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 -1/12 (*.f64 (pow.f64 eps 3) (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 -1/12 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x))))) |
(*.f64 1/4 (pow.f64 eps 2)) |
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 eps (*.f64 (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2))) x))) |
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 eps (*.f64 (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2))) x)))) |
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (*.f64 -1/6 (*.f64 eps (*.f64 (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2))) (pow.f64 x 3)))) (*.f64 eps (*.f64 (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2))) x))))) |
(*.f64 eps (+.f64 (*.f64 1/4 (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2)))))) |
(*.f64 eps (+.f64 (*.f64 1/4 (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2)))))) |
(*.f64 eps (+.f64 (*.f64 1/4 (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2)))))) |
(*.f64 eps (+.f64 (*.f64 1/4 (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2)))))) |
(*.f64 eps (+.f64 (*.f64 1/4 (*.f64 (cos.f64 x) eps)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2)))))) |
(*.f64 eps (+.f64 (*.f64 1/4 (*.f64 (cos.f64 x) eps)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2)))))) |
(*.f64 eps (+.f64 (*.f64 1/4 (*.f64 (cos.f64 x) eps)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2)))))) |
(*.f64 eps (+.f64 (*.f64 1/4 (*.f64 (cos.f64 x) eps)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2)))))) |
| Outputs |
|---|
(*.f64 (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2))) x) |
(*.f64 (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))) x) |
(*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) x) |
(+.f64 (*.f64 -1/6 (*.f64 (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2))) (pow.f64 x 3))) (*.f64 (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2))) x)) |
(fma.f64 -1/6 (*.f64 (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))) (pow.f64 x 3)) (*.f64 (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))) x)) |
(fma.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) x (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (*.f64 (pow.f64 x 3) -1/6))) |
(*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/120 (*.f64 (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2))) (pow.f64 x 5))) (+.f64 (*.f64 -1/6 (*.f64 (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2))) (pow.f64 x 3))) (*.f64 (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2))) x))) |
(fma.f64 1/120 (*.f64 (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))) (pow.f64 x 5)) (fma.f64 -1/6 (*.f64 (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))) (pow.f64 x 3)) (*.f64 (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))) x))) |
(fma.f64 1/120 (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (pow.f64 x 5)) (fma.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) x (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (*.f64 (pow.f64 x 3) -1/6)))) |
(fma.f64 (pow.f64 x 5) (+.f64 1/240 (*.f64 (*.f64 eps eps) -1/1440)) (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))) |
(*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5))))) |
(+.f64 (*.f64 1/120 (*.f64 (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2))) (pow.f64 x 5))) (+.f64 (*.f64 -1/6 (*.f64 (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2))) (pow.f64 x 3))) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2))) x) (*.f64 -1/5040 (*.f64 (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2))) (pow.f64 x 7)))))) |
(fma.f64 1/120 (*.f64 (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))) (pow.f64 x 5)) (fma.f64 -1/6 (*.f64 (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))) (pow.f64 x 3)) (fma.f64 (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))) x (*.f64 -1/5040 (*.f64 (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))) (pow.f64 x 7)))))) |
(fma.f64 1/120 (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (pow.f64 x 5)) (fma.f64 -1/6 (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (pow.f64 x 3)) (fma.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) x (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (*.f64 (pow.f64 x 7) -1/5040))))) |
(+.f64 (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (*.f64 1/120 (pow.f64 x 5))))) |
(*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (+.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (*.f64 1/120 (pow.f64 x 5))))) |
(*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2)))) |
(*.f64 (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))) (sin.f64 x)) |
(*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x)) |
(*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2)))) |
(*.f64 (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))) (sin.f64 x)) |
(*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x)) |
(*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2)))) |
(*.f64 (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))) (sin.f64 x)) |
(*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x)) |
(*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2)))) |
(*.f64 (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))) (sin.f64 x)) |
(*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x)) |
(*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2)))) |
(*.f64 (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))) (sin.f64 x)) |
(*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x)) |
(*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2)))) |
(*.f64 (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))) (sin.f64 x)) |
(*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x)) |
(*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2)))) |
(*.f64 (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))) (sin.f64 x)) |
(*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x)) |
(*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2)))) |
(*.f64 (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))) (sin.f64 x)) |
(*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x)) |
(*.f64 1/2 (sin.f64 x)) |
(+.f64 (*.f64 -1/12 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 1/2 (sin.f64 x))) |
(*.f64 (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))) (sin.f64 x)) |
(*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x)) |
(+.f64 (*.f64 -1/12 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 1/2 (sin.f64 x))) |
(*.f64 (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))) (sin.f64 x)) |
(*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x)) |
(+.f64 (*.f64 -1/12 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 1/2 (sin.f64 x))) |
(*.f64 (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))) (sin.f64 x)) |
(*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x)) |
(*.f64 -1/12 (*.f64 (pow.f64 eps 2) (sin.f64 x))) |
(*.f64 -1/12 (*.f64 (*.f64 eps eps) (sin.f64 x))) |
(*.f64 -1/12 (*.f64 eps (*.f64 eps (sin.f64 x)))) |
(+.f64 (*.f64 -1/12 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 1/2 (sin.f64 x))) |
(*.f64 (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))) (sin.f64 x)) |
(*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x)) |
(+.f64 (*.f64 -1/12 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 1/2 (sin.f64 x))) |
(*.f64 (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))) (sin.f64 x)) |
(*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x)) |
(+.f64 (*.f64 -1/12 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 1/2 (sin.f64 x))) |
(*.f64 (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))) (sin.f64 x)) |
(*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x)) |
(*.f64 -1/12 (*.f64 (pow.f64 eps 2) (sin.f64 x))) |
(*.f64 -1/12 (*.f64 (*.f64 eps eps) (sin.f64 x))) |
(*.f64 -1/12 (*.f64 eps (*.f64 eps (sin.f64 x)))) |
(+.f64 (*.f64 -1/12 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 1/2 (sin.f64 x))) |
(*.f64 (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))) (sin.f64 x)) |
(*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x)) |
(+.f64 (*.f64 -1/12 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 1/2 (sin.f64 x))) |
(*.f64 (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))) (sin.f64 x)) |
(*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x)) |
(+.f64 (*.f64 -1/12 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 1/2 (sin.f64 x))) |
(*.f64 (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))) (sin.f64 x)) |
(*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x)) |
(*.f64 -1/12 (pow.f64 eps 2)) |
(*.f64 -1/12 (*.f64 eps eps)) |
(*.f64 -1/12 (pow.f64 eps 2)) |
(*.f64 -1/12 (*.f64 eps eps)) |
(*.f64 -1/12 (pow.f64 eps 2)) |
(*.f64 -1/12 (*.f64 eps eps)) |
(*.f64 -1/12 (pow.f64 eps 2)) |
(*.f64 -1/12 (*.f64 eps eps)) |
(*.f64 -1/12 (pow.f64 eps 2)) |
(*.f64 -1/12 (*.f64 eps eps)) |
(*.f64 -1/12 (pow.f64 eps 2)) |
(*.f64 -1/12 (*.f64 eps eps)) |
(*.f64 -1/12 (pow.f64 eps 2)) |
(*.f64 -1/12 (*.f64 eps eps)) |
(*.f64 -1/12 (pow.f64 eps 2)) |
(*.f64 -1/12 (*.f64 eps eps)) |
(*.f64 -1/12 (pow.f64 eps 2)) |
(*.f64 -1/12 (*.f64 eps eps)) |
(*.f64 -1/12 (pow.f64 eps 2)) |
(*.f64 -1/12 (*.f64 eps eps)) |
(*.f64 -1/12 (pow.f64 eps 2)) |
(*.f64 -1/12 (*.f64 eps eps)) |
(*.f64 -1/12 (pow.f64 eps 2)) |
(*.f64 -1/12 (*.f64 eps eps)) |
(*.f64 1/4 (*.f64 eps (cos.f64 x))) |
(*.f64 (*.f64 eps 1/4) (cos.f64 x)) |
(*.f64 eps (*.f64 1/4 (cos.f64 x))) |
(*.f64 1/4 (*.f64 eps (cos.f64 x))) |
(*.f64 (*.f64 eps 1/4) (cos.f64 x)) |
(*.f64 eps (*.f64 1/4 (cos.f64 x))) |
(*.f64 1/4 (*.f64 eps (cos.f64 x))) |
(*.f64 (*.f64 eps 1/4) (cos.f64 x)) |
(*.f64 eps (*.f64 1/4 (cos.f64 x))) |
(*.f64 1/4 (*.f64 eps (cos.f64 x))) |
(*.f64 (*.f64 eps 1/4) (cos.f64 x)) |
(*.f64 eps (*.f64 1/4 (cos.f64 x))) |
(*.f64 1/4 (*.f64 eps (cos.f64 x))) |
(*.f64 (*.f64 eps 1/4) (cos.f64 x)) |
(*.f64 eps (*.f64 1/4 (cos.f64 x))) |
(*.f64 1/4 (*.f64 eps (cos.f64 x))) |
(*.f64 (*.f64 eps 1/4) (cos.f64 x)) |
(*.f64 eps (*.f64 1/4 (cos.f64 x))) |
(*.f64 1/4 (*.f64 eps (cos.f64 x))) |
(*.f64 (*.f64 eps 1/4) (cos.f64 x)) |
(*.f64 eps (*.f64 1/4 (cos.f64 x))) |
(*.f64 1/4 (*.f64 eps (cos.f64 x))) |
(*.f64 (*.f64 eps 1/4) (cos.f64 x)) |
(*.f64 eps (*.f64 1/4 (cos.f64 x))) |
(*.f64 1/4 (*.f64 eps (cos.f64 x))) |
(*.f64 (*.f64 eps 1/4) (cos.f64 x)) |
(*.f64 eps (*.f64 1/4 (cos.f64 x))) |
(*.f64 1/4 (*.f64 eps (cos.f64 x))) |
(*.f64 (*.f64 eps 1/4) (cos.f64 x)) |
(*.f64 eps (*.f64 1/4 (cos.f64 x))) |
(*.f64 1/4 (*.f64 eps (cos.f64 x))) |
(*.f64 (*.f64 eps 1/4) (cos.f64 x)) |
(*.f64 eps (*.f64 1/4 (cos.f64 x))) |
(*.f64 1/4 (*.f64 eps (cos.f64 x))) |
(*.f64 (*.f64 eps 1/4) (cos.f64 x)) |
(*.f64 eps (*.f64 1/4 (cos.f64 x))) |
(*.f64 1/4 eps) |
(*.f64 eps 1/4) |
(+.f64 (*.f64 -1/8 (*.f64 eps (pow.f64 x 2))) (*.f64 1/4 eps)) |
(fma.f64 -1/8 (*.f64 eps (*.f64 x x)) (*.f64 eps 1/4)) |
(fma.f64 eps 1/4 (*.f64 -1/8 (*.f64 eps (*.f64 x x)))) |
(*.f64 eps (+.f64 1/4 (*.f64 x (*.f64 x -1/8)))) |
(+.f64 (*.f64 -1/8 (*.f64 eps (pow.f64 x 2))) (+.f64 (*.f64 1/96 (*.f64 eps (pow.f64 x 4))) (*.f64 1/4 eps))) |
(fma.f64 -1/8 (*.f64 eps (*.f64 x x)) (fma.f64 1/96 (*.f64 eps (pow.f64 x 4)) (*.f64 eps 1/4))) |
(fma.f64 -1/8 (*.f64 eps (*.f64 x x)) (fma.f64 eps 1/4 (*.f64 1/96 (*.f64 eps (pow.f64 x 4))))) |
(fma.f64 eps (*.f64 1/96 (pow.f64 x 4)) (*.f64 eps (+.f64 1/4 (*.f64 x (*.f64 x -1/8))))) |
(*.f64 eps (+.f64 1/4 (*.f64 x (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 3) 1/96))))) |
(+.f64 (*.f64 -1/2880 (*.f64 eps (pow.f64 x 6))) (+.f64 (*.f64 -1/8 (*.f64 eps (pow.f64 x 2))) (+.f64 (*.f64 1/96 (*.f64 eps (pow.f64 x 4))) (*.f64 1/4 eps)))) |
(fma.f64 -1/2880 (*.f64 eps (pow.f64 x 6)) (fma.f64 -1/8 (*.f64 eps (*.f64 x x)) (fma.f64 1/96 (*.f64 eps (pow.f64 x 4)) (*.f64 eps 1/4)))) |
(fma.f64 -1/2880 (*.f64 eps (pow.f64 x 6)) (fma.f64 -1/8 (*.f64 eps (*.f64 x x)) (fma.f64 eps 1/4 (*.f64 1/96 (*.f64 eps (pow.f64 x 4)))))) |
(fma.f64 eps (*.f64 -1/2880 (pow.f64 x 6)) (fma.f64 eps (*.f64 1/96 (pow.f64 x 4)) (*.f64 eps (+.f64 1/4 (*.f64 x (*.f64 x -1/8)))))) |
(*.f64 eps (+.f64 (+.f64 1/4 (*.f64 1/96 (pow.f64 x 4))) (*.f64 x (+.f64 (*.f64 x -1/8) (*.f64 (pow.f64 x 5) -1/2880))))) |
(*.f64 1/4 (*.f64 (cos.f64 x) eps)) |
(*.f64 (*.f64 eps 1/4) (cos.f64 x)) |
(*.f64 eps (*.f64 1/4 (cos.f64 x))) |
(*.f64 1/4 (*.f64 eps (cos.f64 x))) |
(*.f64 1/4 (*.f64 (cos.f64 x) eps)) |
(*.f64 (*.f64 eps 1/4) (cos.f64 x)) |
(*.f64 eps (*.f64 1/4 (cos.f64 x))) |
(*.f64 1/4 (*.f64 eps (cos.f64 x))) |
(*.f64 1/4 (*.f64 (cos.f64 x) eps)) |
(*.f64 (*.f64 eps 1/4) (cos.f64 x)) |
(*.f64 eps (*.f64 1/4 (cos.f64 x))) |
(*.f64 1/4 (*.f64 eps (cos.f64 x))) |
(*.f64 1/4 (*.f64 (cos.f64 x) eps)) |
(*.f64 (*.f64 eps 1/4) (cos.f64 x)) |
(*.f64 eps (*.f64 1/4 (cos.f64 x))) |
(*.f64 1/4 (*.f64 eps (cos.f64 x))) |
(*.f64 1/4 (*.f64 eps (cos.f64 x))) |
(*.f64 (*.f64 eps 1/4) (cos.f64 x)) |
(*.f64 eps (*.f64 1/4 (cos.f64 x))) |
(*.f64 1/4 (*.f64 eps (cos.f64 x))) |
(*.f64 (*.f64 eps 1/4) (cos.f64 x)) |
(*.f64 eps (*.f64 1/4 (cos.f64 x))) |
(*.f64 1/4 (*.f64 eps (cos.f64 x))) |
(*.f64 (*.f64 eps 1/4) (cos.f64 x)) |
(*.f64 eps (*.f64 1/4 (cos.f64 x))) |
(*.f64 1/4 (*.f64 eps (cos.f64 x))) |
(*.f64 (*.f64 eps 1/4) (cos.f64 x)) |
(*.f64 eps (*.f64 1/4 (cos.f64 x))) |
(*.f64 1/2 (*.f64 eps (sin.f64 x))) |
(*.f64 eps (*.f64 1/2 (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 (*.f64 eps eps) (cos.f64 x)) (*.f64 1/2 (*.f64 eps (sin.f64 x)))) |
(fma.f64 1/2 (*.f64 eps (sin.f64 x)) (*.f64 eps (*.f64 eps (*.f64 1/4 (cos.f64 x))))) |
(*.f64 eps (fma.f64 1/2 (sin.f64 x) (*.f64 eps (*.f64 1/4 (cos.f64 x))))) |
(*.f64 eps (fma.f64 1/2 (sin.f64 x) (*.f64 1/4 (*.f64 eps (cos.f64 x))))) |
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 -1/12 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x))))) |
(fma.f64 1/4 (*.f64 (*.f64 eps eps) (cos.f64 x)) (fma.f64 -1/12 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 1/2 (*.f64 eps (sin.f64 x))))) |
(*.f64 eps (fma.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x) (*.f64 eps (*.f64 1/4 (cos.f64 x))))) |
(*.f64 eps (fma.f64 eps (*.f64 1/4 (cos.f64 x)) (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x)))) |
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 -1/12 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x))))) |
(fma.f64 1/4 (*.f64 (*.f64 eps eps) (cos.f64 x)) (fma.f64 -1/12 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 1/2 (*.f64 eps (sin.f64 x))))) |
(*.f64 eps (fma.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x) (*.f64 eps (*.f64 1/4 (cos.f64 x))))) |
(*.f64 eps (fma.f64 eps (*.f64 1/4 (cos.f64 x)) (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x)))) |
(*.f64 -1/12 (*.f64 (pow.f64 eps 3) (sin.f64 x))) |
(*.f64 -1/12 (*.f64 (sin.f64 x) (pow.f64 eps 3))) |
(*.f64 (pow.f64 eps 3) (*.f64 -1/12 (sin.f64 x))) |
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1/12 (*.f64 (pow.f64 eps 3) (sin.f64 x)))) |
(fma.f64 1/4 (*.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 -1/12 (*.f64 (sin.f64 x) (pow.f64 eps 3)))) |
(fma.f64 -1/12 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 eps (*.f64 eps (*.f64 1/4 (cos.f64 x))))) |
(fma.f64 (pow.f64 eps 3) (*.f64 -1/12 (sin.f64 x)) (*.f64 (*.f64 eps eps) (*.f64 1/4 (cos.f64 x)))) |
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 1/4 (cos.f64 x)) (*.f64 eps (*.f64 -1/12 (sin.f64 x))))) |
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 -1/12 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x))))) |
(fma.f64 1/4 (*.f64 (*.f64 eps eps) (cos.f64 x)) (fma.f64 -1/12 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 1/2 (*.f64 eps (sin.f64 x))))) |
(*.f64 eps (fma.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x) (*.f64 eps (*.f64 1/4 (cos.f64 x))))) |
(*.f64 eps (fma.f64 eps (*.f64 1/4 (cos.f64 x)) (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x)))) |
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 -1/12 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x))))) |
(fma.f64 1/4 (*.f64 (*.f64 eps eps) (cos.f64 x)) (fma.f64 -1/12 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 1/2 (*.f64 eps (sin.f64 x))))) |
(*.f64 eps (fma.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x) (*.f64 eps (*.f64 1/4 (cos.f64 x))))) |
(*.f64 eps (fma.f64 eps (*.f64 1/4 (cos.f64 x)) (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x)))) |
(*.f64 -1/12 (*.f64 (pow.f64 eps 3) (sin.f64 x))) |
(*.f64 -1/12 (*.f64 (sin.f64 x) (pow.f64 eps 3))) |
(*.f64 (pow.f64 eps 3) (*.f64 -1/12 (sin.f64 x))) |
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1/12 (*.f64 (pow.f64 eps 3) (sin.f64 x)))) |
(fma.f64 1/4 (*.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 -1/12 (*.f64 (sin.f64 x) (pow.f64 eps 3)))) |
(fma.f64 -1/12 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 eps (*.f64 eps (*.f64 1/4 (cos.f64 x))))) |
(fma.f64 (pow.f64 eps 3) (*.f64 -1/12 (sin.f64 x)) (*.f64 (*.f64 eps eps) (*.f64 1/4 (cos.f64 x)))) |
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 1/4 (cos.f64 x)) (*.f64 eps (*.f64 -1/12 (sin.f64 x))))) |
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 -1/12 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x))))) |
(fma.f64 1/4 (*.f64 (*.f64 eps eps) (cos.f64 x)) (fma.f64 -1/12 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 1/2 (*.f64 eps (sin.f64 x))))) |
(*.f64 eps (fma.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x) (*.f64 eps (*.f64 1/4 (cos.f64 x))))) |
(*.f64 eps (fma.f64 eps (*.f64 1/4 (cos.f64 x)) (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x)))) |
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 -1/12 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x))))) |
(fma.f64 1/4 (*.f64 (*.f64 eps eps) (cos.f64 x)) (fma.f64 -1/12 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 1/2 (*.f64 eps (sin.f64 x))))) |
(*.f64 eps (fma.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x) (*.f64 eps (*.f64 1/4 (cos.f64 x))))) |
(*.f64 eps (fma.f64 eps (*.f64 1/4 (cos.f64 x)) (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x)))) |
(*.f64 1/4 (pow.f64 eps 2)) |
(*.f64 (*.f64 eps eps) 1/4) |
(*.f64 eps (*.f64 eps 1/4)) |
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 eps (*.f64 (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2))) x))) |
(fma.f64 1/4 (*.f64 eps eps) (*.f64 eps (*.f64 (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))) x))) |
(fma.f64 (*.f64 eps eps) 1/4 (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (*.f64 x eps))) |
(*.f64 eps (+.f64 (*.f64 eps 1/4) (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) x))) |
(*.f64 eps (+.f64 (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) x) (*.f64 eps 1/4))) |
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 eps (*.f64 (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2))) x)))) |
(fma.f64 1/4 (*.f64 eps eps) (fma.f64 -1/8 (*.f64 (*.f64 eps eps) (*.f64 x x)) (*.f64 eps (*.f64 (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))) x)))) |
(fma.f64 (*.f64 eps eps) 1/4 (fma.f64 -1/8 (*.f64 eps (*.f64 eps (*.f64 x x))) (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (*.f64 x eps)))) |
(fma.f64 eps (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) x) (*.f64 (*.f64 eps eps) (+.f64 1/4 (*.f64 x (*.f64 x -1/8))))) |
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (*.f64 -1/6 (*.f64 eps (*.f64 (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2))) (pow.f64 x 3)))) (*.f64 eps (*.f64 (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2))) x))))) |
(fma.f64 1/4 (*.f64 eps eps) (fma.f64 -1/8 (*.f64 (*.f64 eps eps) (*.f64 x x)) (fma.f64 -1/6 (*.f64 eps (*.f64 (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))) (pow.f64 x 3))) (*.f64 eps (*.f64 (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))) x))))) |
(fma.f64 (*.f64 eps eps) 1/4 (fma.f64 -1/8 (*.f64 eps (*.f64 eps (*.f64 x x))) (fma.f64 (*.f64 eps (fma.f64 -1/12 (*.f64 eps eps) 1/2)) x (*.f64 eps (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (*.f64 (pow.f64 x 3) -1/6)))))) |
(+.f64 (*.f64 eps (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))) (*.f64 (*.f64 eps eps) (+.f64 1/4 (*.f64 x (*.f64 x -1/8))))) |
(*.f64 eps (+.f64 (*.f64 1/4 (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2)))))) |
(fma.f64 1/4 (*.f64 (*.f64 eps eps) (cos.f64 x)) (fma.f64 -1/12 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 1/2 (*.f64 eps (sin.f64 x))))) |
(*.f64 eps (fma.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x) (*.f64 eps (*.f64 1/4 (cos.f64 x))))) |
(*.f64 eps (fma.f64 eps (*.f64 1/4 (cos.f64 x)) (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x)))) |
(*.f64 eps (+.f64 (*.f64 1/4 (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2)))))) |
(fma.f64 1/4 (*.f64 (*.f64 eps eps) (cos.f64 x)) (fma.f64 -1/12 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 1/2 (*.f64 eps (sin.f64 x))))) |
(*.f64 eps (fma.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x) (*.f64 eps (*.f64 1/4 (cos.f64 x))))) |
(*.f64 eps (fma.f64 eps (*.f64 1/4 (cos.f64 x)) (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x)))) |
(*.f64 eps (+.f64 (*.f64 1/4 (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2)))))) |
(fma.f64 1/4 (*.f64 (*.f64 eps eps) (cos.f64 x)) (fma.f64 -1/12 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 1/2 (*.f64 eps (sin.f64 x))))) |
(*.f64 eps (fma.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x) (*.f64 eps (*.f64 1/4 (cos.f64 x))))) |
(*.f64 eps (fma.f64 eps (*.f64 1/4 (cos.f64 x)) (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x)))) |
(*.f64 eps (+.f64 (*.f64 1/4 (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2)))))) |
(fma.f64 1/4 (*.f64 (*.f64 eps eps) (cos.f64 x)) (fma.f64 -1/12 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 1/2 (*.f64 eps (sin.f64 x))))) |
(*.f64 eps (fma.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x) (*.f64 eps (*.f64 1/4 (cos.f64 x))))) |
(*.f64 eps (fma.f64 eps (*.f64 1/4 (cos.f64 x)) (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x)))) |
(*.f64 eps (+.f64 (*.f64 1/4 (*.f64 (cos.f64 x) eps)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2)))))) |
(fma.f64 1/4 (*.f64 (*.f64 eps eps) (cos.f64 x)) (fma.f64 -1/12 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 1/2 (*.f64 eps (sin.f64 x))))) |
(*.f64 eps (fma.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x) (*.f64 eps (*.f64 1/4 (cos.f64 x))))) |
(*.f64 eps (fma.f64 eps (*.f64 1/4 (cos.f64 x)) (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x)))) |
(*.f64 eps (+.f64 (*.f64 1/4 (*.f64 (cos.f64 x) eps)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2)))))) |
(fma.f64 1/4 (*.f64 (*.f64 eps eps) (cos.f64 x)) (fma.f64 -1/12 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 1/2 (*.f64 eps (sin.f64 x))))) |
(*.f64 eps (fma.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x) (*.f64 eps (*.f64 1/4 (cos.f64 x))))) |
(*.f64 eps (fma.f64 eps (*.f64 1/4 (cos.f64 x)) (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x)))) |
(*.f64 eps (+.f64 (*.f64 1/4 (*.f64 (cos.f64 x) eps)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2)))))) |
(fma.f64 1/4 (*.f64 (*.f64 eps eps) (cos.f64 x)) (fma.f64 -1/12 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 1/2 (*.f64 eps (sin.f64 x))))) |
(*.f64 eps (fma.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x) (*.f64 eps (*.f64 1/4 (cos.f64 x))))) |
(*.f64 eps (fma.f64 eps (*.f64 1/4 (cos.f64 x)) (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x)))) |
(*.f64 eps (+.f64 (*.f64 1/4 (*.f64 (cos.f64 x) eps)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (pow.f64 eps 2)))))) |
(fma.f64 1/4 (*.f64 (*.f64 eps eps) (cos.f64 x)) (fma.f64 -1/12 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 1/2 (*.f64 eps (sin.f64 x))))) |
(*.f64 eps (fma.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x) (*.f64 eps (*.f64 1/4 (cos.f64 x))))) |
(*.f64 eps (fma.f64 eps (*.f64 1/4 (cos.f64 x)) (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) (sin.f64 x)))) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 3.6b | (cos.f64 (+.f64 x eps)) | |
| 0.9b | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) | |
| 0.2b | (log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) | |
| 0.1b | (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) | |
| ✓ | 0.1b | (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) |
| ✓ | 0.2b | (log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) |
| 0.9b | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) | |
| 3.6b | (cos.f64 (+.f64 x eps)) |
Compiled 37 to 8 computations (78.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | 0 | (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) |
| 1.0ms | x | @ | 0 | (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) |
| 0.0ms | x | @ | 0 | (log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) |
| 0.0ms | eps | @ | -inf | (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) |
| 0.0ms | x | @ | -inf | (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) |
| 1× | batch-egg-rewrite |
| 483× | log-prod_binary64 |
| 470× | fma-def_binary64 |
| 298× | pow-prod-down_binary64 |
| 286× | pow2_binary64 |
| 249× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 24 |
| 1 | 196 | 24 |
| 2 | 2961 | 24 |
| 1× | node limit |
| Inputs |
|---|
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) |
(expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) |
| Outputs |
|---|
((#(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 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 x 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 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))) (/.f64 (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))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2))) (log.f64 (-.f64 1 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))))) (#(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)))))) 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(neg.f64 (cos.f64 x)) 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps 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 x (-.f64 eps 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 expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 2) (cbrt.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (sqrt.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3) 1) (+.f64 (pow.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (+.f64 1 (*.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) 1) (+.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (exp.f64 (neg.f64 (cos.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 2) (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (sqrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) -1))))) |
| 1× | egg-herbie |
| 650× | associate-*r*_binary64 |
| 620× | associate-*l*_binary64 |
| 431× | associate-+l+_binary64 |
| 398× | unsub-neg_binary64 |
| 352× | associate-+r+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 1020 |
| 1 | 395 | 988 |
| 2 | 1250 | 932 |
| 3 | 6294 | 930 |
| 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 (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)) |
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1) |
(-.f64 (+.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (*.f64 -1 (*.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) x)))) 1) |
(-.f64 (+.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) x))) (*.f64 (+.f64 1/2 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps)))) (*.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (pow.f64 x 2))))) 1) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))) (+.f64 (*.f64 1/6 (sin.f64 eps)) (*.f64 -1/6 (pow.f64 (sin.f64 eps) 3)))) (*.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (pow.f64 x 3))) (+.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) x))) (*.f64 (+.f64 1/2 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps)))) (*.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (pow.f64 x 2)))))) 1) |
(-.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 1) |
(-.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 1) |
(-.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 1) |
(-.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 1) |
(-.f64 (exp.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))) 1) |
(-.f64 (exp.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))) 1) |
(-.f64 (exp.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))) 1) |
(-.f64 (exp.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))) 1) |
(*.f64 -1 (*.f64 eps (sin.f64 x))) |
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x))))) |
(+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 x) 3)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (sin.f64 x))))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x)))))) |
(+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 x) 3)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (sin.f64 x))))) (+.f64 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 1/24 (cos.f64 x)) (+.f64 (*.f64 -1/4 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (+.f64 (*.f64 1/8 (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 1/24 (pow.f64 (sin.f64 x) 4)) (*.f64 -1/6 (pow.f64 (sin.f64 x) 2))))))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x))))))) |
(-.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 1) |
(-.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 1) |
(-.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 1) |
(-.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 1) |
(-.f64 (exp.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))) 1) |
(-.f64 (exp.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))) 1) |
(-.f64 (exp.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))) 1) |
(-.f64 (exp.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))) 1) |
| 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 (*.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 (+.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 -1 (+.f64 (cos.f64 eps) (fma.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (*.f64 x x) (*.f64 (sin.f64 eps) (neg.f64 x))))) |
(+.f64 (cos.f64 eps) (+.f64 -1 (*.f64 x (-.f64 (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2)) (sin.f64 eps))))) |
(-.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 x (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2))) (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))) -1)) |
(+.f64 (*.f64 (sin.f64 eps) (-.f64 (*.f64 1/6 (pow.f64 x 3)) x)) (+.f64 (fma.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (*.f64 x x) -1) (cos.f64 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 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 (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)) (*.f64 (neg.f64 eps) (sin.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 -1/2 eps) eps)) (*.f64 eps (sin.f64 x))) |
(*.f64 eps (-.f64 (*.f64 eps (*.f64 -1/2 (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)) (*.f64 (neg.f64 eps) (sin.f64 x)))) |
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 (*.f64 -1/2 eps) eps))) (*.f64 eps (sin.f64 x))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 eps (-.f64 (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) |
(+.f64 (*.f64 eps (*.f64 eps (*.f64 -1/2 (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)) (*.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 (cos.f64 x) (*.f64 (*.f64 -1/2 eps) eps))) (*.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 eps (-.f64 (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))) |
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (+.f64 (*.f64 eps (*.f64 eps (*.f64 -1/2 (cos.f64 x)))) (*.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)) |
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1) |
(expm1.f64 (+.f64 (cos.f64 eps) -1)) |
(-.f64 (+.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (*.f64 -1 (*.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) x)))) 1) |
(+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (-.f64 (neg.f64 (*.f64 (*.f64 x (sin.f64 eps)) (exp.f64 (+.f64 (cos.f64 eps) -1)))) 1)) |
(+.f64 (*.f64 (*.f64 x (sin.f64 eps)) (neg.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (expm1.f64 (+.f64 (cos.f64 eps) -1))) |
(+.f64 -1 (*.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) 1) (exp.f64 (+.f64 (cos.f64 eps) -1)))) |
(-.f64 (+.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) x))) (*.f64 (+.f64 1/2 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps)))) (*.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (pow.f64 x 2))))) 1) |
(+.f64 (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (fma.f64 -1 (*.f64 (*.f64 x (sin.f64 eps)) (exp.f64 (+.f64 (cos.f64 eps) -1))) (*.f64 (+.f64 1/2 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 eps) -1/2))) (*.f64 (*.f64 x x) (exp.f64 (+.f64 (cos.f64 eps) -1)))))) -1) |
(+.f64 (-.f64 (*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (*.f64 (*.f64 x x) (+.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (*.f64 1/2 (pow.f64 (sin.f64 eps) 2))))) (*.f64 x (*.f64 (sin.f64 eps) (exp.f64 (+.f64 (cos.f64 eps) -1))))) (expm1.f64 (+.f64 (cos.f64 eps) -1))) |
(+.f64 (*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (-.f64 (*.f64 (*.f64 x x) (+.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)))) (*.f64 x (sin.f64 eps)))) (expm1.f64 (+.f64 (cos.f64 eps) -1))) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))) (+.f64 (*.f64 1/6 (sin.f64 eps)) (*.f64 -1/6 (pow.f64 (sin.f64 eps) 3)))) (*.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (pow.f64 x 3))) (+.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) x))) (*.f64 (+.f64 1/2 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps)))) (*.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (pow.f64 x 2)))))) 1) |
(+.f64 (fma.f64 (fma.f64 -1 (*.f64 (sin.f64 eps) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (fma.f64 1/6 (sin.f64 eps) (*.f64 -1/6 (pow.f64 (sin.f64 eps) 3)))) (*.f64 (pow.f64 x 3) (exp.f64 (+.f64 (cos.f64 eps) -1))) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (fma.f64 -1 (*.f64 (*.f64 x (sin.f64 eps)) (exp.f64 (+.f64 (cos.f64 eps) -1))) (*.f64 (+.f64 1/2 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 eps) -1/2))) (*.f64 (*.f64 x x) (exp.f64 (+.f64 (cos.f64 eps) -1))))))) -1) |
(fma.f64 (-.f64 (fma.f64 -1/6 (pow.f64 (sin.f64 eps) 3) (*.f64 (sin.f64 eps) 1/6)) (*.f64 (sin.f64 eps) (fma.f64 (cos.f64 eps) -1/2 1/2))) (*.f64 (pow.f64 x 3) (exp.f64 (+.f64 (cos.f64 eps) -1))) (+.f64 (-.f64 (*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (*.f64 (*.f64 x x) (+.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (*.f64 1/2 (pow.f64 (sin.f64 eps) 2))))) (*.f64 x (*.f64 (sin.f64 eps) (exp.f64 (+.f64 (cos.f64 eps) -1))))) (expm1.f64 (+.f64 (cos.f64 eps) -1)))) |
(+.f64 -1 (+.f64 (*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (-.f64 (*.f64 (*.f64 x x) (+.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)))) (*.f64 x (sin.f64 eps)))) (*.f64 (+.f64 (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 eps) 3)) (*.f64 (sin.f64 eps) (+.f64 (neg.f64 (fma.f64 (cos.f64 eps) -1/2 1/2)) 1/6)))) 1) (exp.f64 (+.f64 (cos.f64 eps) -1))))) |
(+.f64 -1 (+.f64 (*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (-.f64 (*.f64 (*.f64 x x) (+.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)))) (*.f64 x (sin.f64 eps)))) (*.f64 (+.f64 (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 eps) 3)) (*.f64 (sin.f64 eps) (-.f64 1/6 (fma.f64 (cos.f64 eps) -1/2 1/2))))) 1) (exp.f64 (+.f64 (cos.f64 eps) -1))))) |
(-.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 1) |
(expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(-.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 1) |
(expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(-.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 1) |
(expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(-.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 1) |
(expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(-.f64 (exp.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))) 1) |
(expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(-.f64 (exp.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))) 1) |
(expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(-.f64 (exp.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))) 1) |
(expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(-.f64 (exp.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))) 1) |
(expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(*.f64 -1 (*.f64 eps (sin.f64 x))) |
(*.f64 (neg.f64 eps) (sin.f64 x)) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x))))) |
(fma.f64 -1 (*.f64 eps (sin.f64 x)) (*.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x))))) |
(fma.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (neg.f64 eps))) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x))) |
(+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 x) 3)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (sin.f64 x))))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x)))))) |
(fma.f64 (pow.f64 eps 3) (fma.f64 -1/6 (pow.f64 (sin.f64 x) 3) (fma.f64 1/2 (*.f64 (cos.f64 x) (sin.f64 x)) (*.f64 1/6 (sin.f64 x)))) (fma.f64 -1 (*.f64 eps (sin.f64 x)) (*.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x)))))) |
(fma.f64 (pow.f64 eps 3) (fma.f64 -1/6 (pow.f64 (sin.f64 x) 3) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/2 (cos.f64 x)) 1/6))) (fma.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (neg.f64 eps)))) |
(fma.f64 (pow.f64 eps 3) (fma.f64 -1/6 (pow.f64 (sin.f64 x) 3) (*.f64 (sin.f64 x) (+.f64 1/6 (*.f64 1/2 (cos.f64 x))))) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x)))) |
(+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 x) 3)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (sin.f64 x))))) (+.f64 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 1/24 (cos.f64 x)) (+.f64 (*.f64 -1/4 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (+.f64 (*.f64 1/8 (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 1/24 (pow.f64 (sin.f64 x) 4)) (*.f64 -1/6 (pow.f64 (sin.f64 x) 2))))))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x))))))) |
(fma.f64 (pow.f64 eps 3) (fma.f64 -1/6 (pow.f64 (sin.f64 x) 3) (fma.f64 1/2 (*.f64 (cos.f64 x) (sin.f64 x)) (*.f64 1/6 (sin.f64 x)))) (fma.f64 (pow.f64 eps 4) (fma.f64 1/24 (cos.f64 x) (fma.f64 -1/4 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) (fma.f64 1/8 (pow.f64 (cos.f64 x) 2) (fma.f64 1/24 (pow.f64 (sin.f64 x) 4) (*.f64 -1/6 (pow.f64 (sin.f64 x) 2)))))) (fma.f64 -1 (*.f64 eps (sin.f64 x)) (*.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x))))))) |
(fma.f64 (pow.f64 eps 3) (fma.f64 -1/6 (pow.f64 (sin.f64 x) 3) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/2 (cos.f64 x)) 1/6))) (fma.f64 (pow.f64 eps 4) (fma.f64 (cos.f64 x) 1/24 (fma.f64 -1/4 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) (fma.f64 1/8 (pow.f64 (cos.f64 x) 2) (fma.f64 1/24 (pow.f64 (sin.f64 x) 4) (*.f64 -1/6 (pow.f64 (sin.f64 x) 2)))))) (fma.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (neg.f64 eps))))) |
(fma.f64 (pow.f64 eps 3) (fma.f64 -1/6 (pow.f64 (sin.f64 x) 3) (*.f64 (sin.f64 x) (+.f64 1/6 (*.f64 1/2 (cos.f64 x))))) (fma.f64 (pow.f64 eps 4) (fma.f64 (cos.f64 x) 1/24 (+.f64 (fma.f64 1/8 (pow.f64 (cos.f64 x) 2) (*.f64 1/24 (pow.f64 (sin.f64 x) 4))) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 -1/6 (*.f64 (cos.f64 x) -1/4))))) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x))))) |
(-.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 1) |
(expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(-.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 1) |
(expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(-.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 1) |
(expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(-.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 1) |
(expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(-.f64 (exp.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))) 1) |
(expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(-.f64 (exp.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))) 1) |
(expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(-.f64 (exp.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))) 1) |
(expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(-.f64 (exp.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))) 1) |
(expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) -1))) | |
| 0.1b | (expm1.f64 (+.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) -1)) | |
| 0.1b | (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) | |
| 0.0b | (cos.f64 eps) | |
| ✓ | 0.1b | (expm1.f64 (+.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) -1)) |
| ✓ | 0.2b | (log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) -1))) |
| ✓ | 0.2b | (pow.f64 (cos.f64 eps) 2) |
| ✓ | 2.3b | (+.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) -1) |
Compiled 40 to 28 computations (30% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | eps | @ | -inf | (pow.f64 (cos.f64 eps) 2) |
| 0.0ms | eps | @ | inf | (pow.f64 (cos.f64 eps) 2) |
| 0.0ms | eps | @ | 0 | (pow.f64 (cos.f64 eps) 2) |
| 0.0ms | eps | @ | 0 | (+.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) -1) |
| 0.0ms | eps | @ | inf | (+.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) -1) |
| 1× | batch-egg-rewrite |
| 763× | pow1_binary64 |
| 710× | expm1-log1p-u_binary64 |
| 709× | add-log-exp_binary64 |
| 709× | log1p-expm1-u_binary64 |
| 694× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 1 | 191 | 26 |
| 2 | 1943 | 26 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) -1) |
(pow.f64 (cos.f64 eps) 2) |
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) -1))) |
(expm1.f64 (+.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) -1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (cos.f64 eps) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (neg.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 2)) (-.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (cos.f64 eps) -1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 eps) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 eps) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cos.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 4)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (pow.f64 (cos.f64 eps) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (*.f64 (cbrt.f64 (cos.f64 eps)) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 eps)) (*.f64 (sqrt.f64 (cos.f64 eps)) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 eps) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 eps eps)) (cos.f64 (-.f64 eps eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 eps) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cos.f64 eps) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (cos.f64 eps) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (neg.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 2)) (-.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (cos.f64 eps) -1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 2) (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 3) 1) (+.f64 (*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (exp.f64 (+.f64 (cos.f64 eps) -1))) (+.f64 1 (*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (exp.f64 (+.f64 (cos.f64 eps) -1))) 1) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))))) |
| 1× | egg-herbie |
| 856× | fma-def_binary64 |
| 853× | distribute-rgt-out_binary64 |
| 683× | associate-*l*_binary64 |
| 492× | associate-*r*_binary64 |
| 413× | unswap-sqr_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 421 |
| 1 | 128 | 417 |
| 2 | 304 | 415 |
| 3 | 1023 | 413 |
| 4 | 4356 | 413 |
| 5 | 7920 | 413 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 (pow.f64 eps 2)) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/40320 (pow.f64 eps 8))))) |
(-.f64 (cos.f64 eps) 1) |
(-.f64 (cos.f64 eps) 1) |
(-.f64 (cos.f64 eps) 1) |
(-.f64 (cos.f64 eps) 1) |
(-.f64 (cos.f64 eps) 1) |
(-.f64 (cos.f64 eps) 1) |
(-.f64 (cos.f64 eps) 1) |
(-.f64 (cos.f64 eps) 1) |
1 |
(+.f64 1 (*.f64 -1 (pow.f64 eps 2))) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 eps 2)) (*.f64 1/3 (pow.f64 eps 4)))) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 eps 2)) (+.f64 (*.f64 1/3 (pow.f64 eps 4)) (*.f64 -2/45 (pow.f64 eps 6))))) |
(*.f64 -1/2 (pow.f64 eps 2)) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/40320 (pow.f64 eps 8))))) |
(-.f64 (cos.f64 eps) 1) |
(-.f64 (cos.f64 eps) 1) |
(-.f64 (cos.f64 eps) 1) |
(-.f64 (cos.f64 eps) 1) |
(-.f64 (cos.f64 eps) 1) |
(-.f64 (cos.f64 eps) 1) |
(-.f64 (cos.f64 eps) 1) |
(-.f64 (cos.f64 eps) 1) |
(*.f64 -1/2 (pow.f64 eps 2)) |
(+.f64 (*.f64 1/6 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) |
(+.f64 (*.f64 1/6 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -31/720 (pow.f64 eps 6)))) |
(+.f64 (*.f64 1/6 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 379/40320 (pow.f64 eps 8)) (*.f64 -31/720 (pow.f64 eps 6))))) |
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1) |
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1) |
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1) |
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1) |
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1) |
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1) |
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1) |
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1) |
| Outputs |
|---|
(*.f64 -1/2 (pow.f64 eps 2)) |
(*.f64 -1/2 (*.f64 eps eps)) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) |
(fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2))) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) |
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 -1/720 (pow.f64 eps 6)))) |
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 -1/2 (*.f64 eps eps)))) |
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/720 (pow.f64 eps 6)))) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/40320 (pow.f64 eps 8))))) |
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 1/40320 (pow.f64 eps 8))))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 1/40320 (pow.f64 eps 8)))) |
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
1 |
(+.f64 1 (*.f64 -1 (pow.f64 eps 2))) |
(+.f64 1 (neg.f64 (*.f64 eps eps))) |
(-.f64 1 (*.f64 eps eps)) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 eps 2)) (*.f64 1/3 (pow.f64 eps 4)))) |
(+.f64 1 (fma.f64 -1 (*.f64 eps eps) (*.f64 (pow.f64 eps 4) 1/3))) |
(+.f64 (-.f64 1 (*.f64 eps eps)) (*.f64 (pow.f64 eps 4) 1/3)) |
(-.f64 (fma.f64 (pow.f64 eps 4) 1/3 1) (*.f64 eps eps)) |
(-.f64 (*.f64 (pow.f64 eps 4) 1/3) (fma.f64 eps eps -1)) |
(-.f64 1 (fma.f64 eps eps (*.f64 (pow.f64 eps 4) -1/3))) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 eps 2)) (+.f64 (*.f64 1/3 (pow.f64 eps 4)) (*.f64 -2/45 (pow.f64 eps 6))))) |
(+.f64 1 (fma.f64 -1 (*.f64 eps eps) (fma.f64 1/3 (pow.f64 eps 4) (*.f64 (pow.f64 eps 6) -2/45)))) |
(+.f64 1 (-.f64 (fma.f64 (pow.f64 eps 6) -2/45 (*.f64 (pow.f64 eps 4) 1/3)) (*.f64 eps eps))) |
(+.f64 1 (-.f64 (fma.f64 (pow.f64 eps 4) 1/3 (*.f64 (pow.f64 eps 6) -2/45)) (*.f64 eps eps))) |
(-.f64 (fma.f64 (pow.f64 eps 4) 1/3 (*.f64 (pow.f64 eps 6) -2/45)) (fma.f64 eps eps -1)) |
(*.f64 -1/2 (pow.f64 eps 2)) |
(*.f64 -1/2 (*.f64 eps eps)) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) |
(fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2))) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) |
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 -1/720 (pow.f64 eps 6)))) |
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 -1/2 (*.f64 eps eps)))) |
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/720 (pow.f64 eps 6)))) |
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/40320 (pow.f64 eps 8))))) |
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 1/40320 (pow.f64 eps 8))))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 1/40320 (pow.f64 eps 8)))) |
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(*.f64 -1/2 (pow.f64 eps 2)) |
(*.f64 -1/2 (*.f64 eps eps)) |
(+.f64 (*.f64 1/6 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) |
(fma.f64 1/6 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps))) |
(fma.f64 (pow.f64 eps 4) 1/6 (*.f64 -1/2 (*.f64 eps eps))) |
(+.f64 (*.f64 1/6 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -31/720 (pow.f64 eps 6)))) |
(fma.f64 1/6 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 (pow.f64 eps 6) -31/720))) |
(fma.f64 (pow.f64 eps 4) 1/6 (fma.f64 (pow.f64 eps 6) -31/720 (*.f64 -1/2 (*.f64 eps eps)))) |
(fma.f64 (pow.f64 eps 6) -31/720 (fma.f64 (pow.f64 eps 4) 1/6 (*.f64 -1/2 (*.f64 eps eps)))) |
(+.f64 (*.f64 1/6 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 379/40320 (pow.f64 eps 8)) (*.f64 -31/720 (pow.f64 eps 6))))) |
(fma.f64 1/6 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 379/40320 (pow.f64 eps 8) (*.f64 (pow.f64 eps 6) -31/720)))) |
(fma.f64 (pow.f64 eps 4) 1/6 (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 (pow.f64 eps 6) -31/720 (*.f64 (pow.f64 eps 8) 379/40320)))) |
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 (pow.f64 eps 4) 1/6 (fma.f64 (pow.f64 eps 6) -31/720 (*.f64 (pow.f64 eps 8) 379/40320)))) |
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1) |
(expm1.f64 (+.f64 (cos.f64 eps) -1)) |
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1) |
(expm1.f64 (+.f64 (cos.f64 eps) -1)) |
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1) |
(expm1.f64 (+.f64 (cos.f64 eps) -1)) |
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1) |
(expm1.f64 (+.f64 (cos.f64 eps) -1)) |
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1) |
(expm1.f64 (+.f64 (cos.f64 eps) -1)) |
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1) |
(expm1.f64 (+.f64 (cos.f64 eps) -1)) |
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1) |
(expm1.f64 (+.f64 (cos.f64 eps) -1)) |
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1) |
(expm1.f64 (+.f64 (cos.f64 eps) -1)) |
Compiled 21427 to 11628 computations (45.7% saved)
89 alts after pruning (82 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 922 | 25 | 947 |
| Fresh | 16 | 57 | 73 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 7 | 8 |
| Total | 940 | 89 | 1029 |
| Status | Error | Program |
|---|---|---|
| 13.3b | (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) (sin.f64 x)))) | |
| ✓ | 51.7b | (*.f64 eps (neg.f64 x)) |
| 53.5b | (log.f64 (exp.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 x)))) | |
| 13.8b | (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (log1p.f64 (expm1.f64 (sin.f64 (fma.f64 1/2 eps x)))))) | |
| 29.6b | (*.f64 -2 (*.f64 eps (+.f64 (*.f64 eps 1/4) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))))) | |
| 13.8b | (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (+.f64 x (*.f64 1/2 eps))))) | |
| 49.0b | (*.f64 -1/2 (*.f64 eps eps)) | |
| 14.5b | (*.f64 -2 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))) 3)) | |
| 31.1b | (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (+.f64 (*.f64 1/3 (*.f64 x x)) -2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x x) -2)))) | |
| 35.8b | (*.f64 eps (neg.f64 (sin.f64 x))) | |
| 54.9b | (log.f64 (+.f64 1 (*.f64 -1 (*.f64 eps (sin.f64 x))))) | |
| 49.2b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (sqrt.f64 (*.f64 1/4 (*.f64 eps eps))))) | |
| 0.3b | (*.f64 -2 (+.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))))) | |
| 24.4b | (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (log.f64 (exp.f64 (sin.f64 (fma.f64 1/2 eps x)))))) | |
| 41.0b | (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3) | |
| 56.1b | (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) | |
| 40.7b | (-.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 1) 1) | |
| ✓ | 0.3b | (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))))) |
| 15.5b | (*.f64 (pow.f64 (cbrt.f64 -2) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) | |
| 48.1b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (expm1.f64 (log1p.f64 eps)) 1/2))) | |
| 49.9b | (log.f64 (exp.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (/.f64 (*.f64 (*.f64 eps eps) 1/2) eps))))) | |
| 0.3b | (*.f64 -2 (fma.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))))) | |
| 28.9b | (*.f64 eps (-.f64 (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) | |
| 28.2b | (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 1 (*.f64 x (*.f64 x -1/2))))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))))) | |
| 26.6b | (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x))))) | |
| 33.8b | (*.f64 1/3 (*.f64 3 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) | |
| 28.5b | (*.f64 -2 (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x)) (sqrt.f64 (sin.f64 (*.f64 1/2 eps)))) (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) | |
| 44.4b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (pow.f64 (cbrt.f64 (*.f64 eps 1/2)) 3))) | |
| 40.6b | (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) | |
| 36.5b | (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 1/2 eps x))) 2))) | |
| 26.8b | (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (sin.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))))) | |
| 40.7b | (-.f64 (log.f64 (exp.f64 (cos.f64 eps))) 1) | |
| 41.0b | (*.f64 -2 (/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (fma.f64 1/2 eps x))) (cos.f64 (+.f64 (*.f64 1/2 eps) (fma.f64 1/2 eps x)))) 2)) | |
| 33.8b | (*.f64 3 (*.f64 1/3 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) | |
| 53.5b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (/.f64 (pow.f64 eps 3) (*.f64 eps eps)) 1/2))) | |
| 45.8b | (-.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) 1) | |
| 33.8b | (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) | |
| 26.6b | (-.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x)) | |
| ✓ | 40.8b | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 33.6b | (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) | |
| 45.8b | (log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 eps))))) -1))) | |
| 40.7b | (/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1))) | |
| ✓ | 29.2b | (*.f64 -2 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))))) |
| 26.6b | (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))) | |
| 38.3b | (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) (pow.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) 3))) | |
| 13.6b | (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))))) | |
| 40.4b | (/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) | |
| 41.9b | (-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x)) | |
| 40.6b | (log.f64 (exp.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))) | |
| 26.6b | (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) | |
| 44.7b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (fma.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (/.f64 1 (-.f64 x eps)) (neg.f64 x)) 1/2))) | |
| 16.7b | (*.f64 -2 (/.f64 (*.f64 (*.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (-.f64 (*.f64 1/2 eps) x))) (sin.f64 (*.f64 1/2 eps))) (sin.f64 (-.f64 (*.f64 1/2 eps) x)))) | |
| 30.6b | (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps))))) | |
| 45.4b | (*.f64 -2 (fma.f64 eps (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) x) (*.f64 (*.f64 eps eps) (+.f64 1/4 (*.f64 x (*.f64 x -1/8)))))) | |
| ✓ | 40.6b | (-.f64 (cos.f64 eps) 1) |
| 43.1b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (/.f64 (*.f64 eps eps) eps) 1/2))) | |
| 0.3b | (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)))))) | |
| 42.2b | (-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x)))) 1) | |
| ✓ | 40.6b | (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) |
| 34.7b | (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x))) | |
| 29.5b | (*.f64 -2 (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/12) 1/2))) (*.f64 eps (*.f64 (*.f64 eps (cos.f64 x)) (+.f64 (*.f64 (*.f64 eps eps) -1/48) 1/4))))) | |
| 47.9b | (*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1)) | |
| ✓ | 55.4b | (-.f64 1 1) |
| 38.3b | (cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) 3)) | |
| 40.5b | (-.f64 (cos.f64 eps) (cos.f64 x)) | |
| 34.5b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2))) | |
| 40.6b | (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) | |
| 54.7b | (log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2))) | |
| 45.7b | (-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x)) | |
| 54.8b | (sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2)) | |
| 54.3b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (/.f64 1 (/.f64 (*.f64 eps eps) (pow.f64 eps 3))) 1/2))) | |
| 40.9b | (neg.f64 (log.f64 (/.f64 (exp.f64 (cos.f64 x)) (exp.f64 (cos.f64 (+.f64 x eps)))))) | |
| 44.4b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) | |
| 33.8b | (log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) | |
| 49.0b | (*.f64 -2 (*.f64 eps (*.f64 eps 1/4))) | |
| 54.6b | (sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) | |
| 0.3b | (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))))) | |
| 48.0b | (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (expm1.f64 (log1p.f64 (*.f64 eps 1/2))))) | |
| 26.6b | (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) | |
| 40.6b | (log1p.f64 (expm1.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))) | |
| 31.1b | (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 (cos.f64 (*.f64 eps 1/2)) (*.f64 x -2)) (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 -2 (*.f64 x x))))) | |
| 37.7b | (-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps))) | |
| 45.3b | (*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 x x) 1/4 -1/2)) x)) | |
| 35.9b | (/.f64 (*.f64 -2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) | |
| 2.3b | (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) 3)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))))) | |
| 40.8b | (*.f64 1/3 (*.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) | |
| 0.3b | (*.f64 -2 (fma.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x)) (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) | |
| 40.8b | (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3) | |
| 49.4b | (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2)) |
Compiled 1498 to 1152 computations (23.1% saved)
| Inputs |
|---|
(-.f64 1 1) |
(*.f64 eps (neg.f64 x)) |
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 -2 (*.f64 eps (*.f64 eps 1/4))) |
(-.f64 (cos.f64 eps) 1) |
(*.f64 eps (neg.f64 (sin.f64 x))) |
(-.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 1) 1) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 x x) 1/4 -1/2)) x)) |
(*.f64 -2 (*.f64 eps (+.f64 (*.f64 eps 1/4) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))))) |
(-.f64 (cos.f64 eps) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x))) |
(log.f64 (+.f64 1 (*.f64 -1 (*.f64 eps (sin.f64 x))))) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) |
(*.f64 eps (-.f64 (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 3 (*.f64 1/3 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) |
(*.f64 1/3 (*.f64 3 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (+.f64 x (*.f64 1/2 eps))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (/.f64 (*.f64 eps eps) eps) 1/2))) |
(*.f64 -2 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))))) |
(*.f64 -2 (fma.f64 eps (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) x) (*.f64 (*.f64 eps eps) (+.f64 1/4 (*.f64 x (*.f64 x -1/8)))))) |
(*.f64 -2 (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/12) 1/2))) (*.f64 eps (*.f64 (*.f64 eps (cos.f64 x)) (+.f64 (*.f64 (*.f64 eps eps) -1/48) 1/4))))) |
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) |
(-.f64 (log.f64 (exp.f64 (cos.f64 eps))) 1) |
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) |
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3) |
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) |
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) |
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) 1) |
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x)) |
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (sqrt.f64 (*.f64 1/4 (*.f64 eps eps))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (/.f64 (pow.f64 eps 3) (*.f64 eps eps)) 1/2))) |
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x)))) 1) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (/.f64 1 (/.f64 (*.f64 eps eps) (pow.f64 eps 3))) 1/2))) |
(*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 (cos.f64 (*.f64 eps 1/2)) (*.f64 x -2)) (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 -2 (*.f64 x x))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (fma.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (/.f64 1 (-.f64 x eps)) (neg.f64 x)) 1/2))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (+.f64 (*.f64 1/3 (*.f64 x x)) -2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x x) -2)))) |
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))) |
(log.f64 (exp.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) |
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2)) |
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x)) |
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3) |
(cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) 3)) |
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 eps))))) -1))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) |
(log.f64 (exp.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 x)))) |
(/.f64 (*.f64 -2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (expm1.f64 (log1p.f64 (*.f64 eps 1/2))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (expm1.f64 (log1p.f64 eps)) 1/2))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) (sin.f64 x)))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (pow.f64 (cbrt.f64 (*.f64 eps 1/2)) 3))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))))) |
(log.f64 (exp.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (/.f64 (*.f64 (*.f64 eps eps) 1/2) eps))))) |
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) |
(*.f64 -2 (/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (fma.f64 1/2 eps x))) (cos.f64 (+.f64 (*.f64 1/2 eps) (fma.f64 1/2 eps x)))) 2)) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (sin.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))))) |
(log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2))) |
(neg.f64 (log.f64 (/.f64 (exp.f64 (cos.f64 x)) (exp.f64 (cos.f64 (+.f64 x eps)))))) |
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (log.f64 (exp.f64 (sin.f64 (fma.f64 1/2 eps x)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (log1p.f64 (expm1.f64 (sin.f64 (fma.f64 1/2 eps x)))))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 1/2 eps x))) 2))) |
(*.f64 -2 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) (pow.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) 3))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))))) |
(*.f64 -2 (/.f64 (*.f64 (*.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (-.f64 (*.f64 1/2 eps) x))) (sin.f64 (*.f64 1/2 eps))) (sin.f64 (-.f64 (*.f64 1/2 eps) x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 1 (*.f64 x (*.f64 x -1/2))))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) |
(-.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x)) |
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)))))) |
(*.f64 -2 (+.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))))) |
(*.f64 -2 (fma.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x)) (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) 3)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))))) |
(*.f64 -2 (fma.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))))) |
(*.f64 -2 (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x)) (sqrt.f64 (sin.f64 (*.f64 1/2 eps)))) (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) |
| Outputs |
|---|
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)))))) |
4 calls:
| 69.0ms | eps |
| 69.0ms | x |
| 28.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 27.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | x |
| 0.3b | 1 | eps |
| 0.3b | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 0.3b | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 1346 to 832 computations (38.2% saved)
| Inputs |
|---|
(-.f64 1 1) |
(*.f64 eps (neg.f64 x)) |
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 -2 (*.f64 eps (*.f64 eps 1/4))) |
(-.f64 (cos.f64 eps) 1) |
(*.f64 eps (neg.f64 (sin.f64 x))) |
(-.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 1) 1) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 x x) 1/4 -1/2)) x)) |
(*.f64 -2 (*.f64 eps (+.f64 (*.f64 eps 1/4) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))))) |
(-.f64 (cos.f64 eps) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x))) |
(log.f64 (+.f64 1 (*.f64 -1 (*.f64 eps (sin.f64 x))))) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) |
(*.f64 eps (-.f64 (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 3 (*.f64 1/3 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) |
(*.f64 1/3 (*.f64 3 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (+.f64 x (*.f64 1/2 eps))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (/.f64 (*.f64 eps eps) eps) 1/2))) |
(*.f64 -2 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))))) |
(*.f64 -2 (fma.f64 eps (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) x) (*.f64 (*.f64 eps eps) (+.f64 1/4 (*.f64 x (*.f64 x -1/8)))))) |
(*.f64 -2 (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/12) 1/2))) (*.f64 eps (*.f64 (*.f64 eps (cos.f64 x)) (+.f64 (*.f64 (*.f64 eps eps) -1/48) 1/4))))) |
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) |
(-.f64 (log.f64 (exp.f64 (cos.f64 eps))) 1) |
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) |
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3) |
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) |
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) |
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) 1) |
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x)) |
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (sqrt.f64 (*.f64 1/4 (*.f64 eps eps))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (/.f64 (pow.f64 eps 3) (*.f64 eps eps)) 1/2))) |
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x)))) 1) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (/.f64 1 (/.f64 (*.f64 eps eps) (pow.f64 eps 3))) 1/2))) |
(*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 (cos.f64 (*.f64 eps 1/2)) (*.f64 x -2)) (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 -2 (*.f64 x x))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (fma.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (/.f64 1 (-.f64 x eps)) (neg.f64 x)) 1/2))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (+.f64 (*.f64 1/3 (*.f64 x x)) -2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x x) -2)))) |
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))) |
(log.f64 (exp.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) |
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2)) |
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x)) |
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3) |
(cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) 3)) |
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 eps))))) -1))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) |
(log.f64 (exp.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 x)))) |
(/.f64 (*.f64 -2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (expm1.f64 (log1p.f64 (*.f64 eps 1/2))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (expm1.f64 (log1p.f64 eps)) 1/2))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) (sin.f64 x)))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (pow.f64 (cbrt.f64 (*.f64 eps 1/2)) 3))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))))) |
(log.f64 (exp.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (/.f64 (*.f64 (*.f64 eps eps) 1/2) eps))))) |
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) |
(*.f64 -2 (/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (fma.f64 1/2 eps x))) (cos.f64 (+.f64 (*.f64 1/2 eps) (fma.f64 1/2 eps x)))) 2)) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (sin.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))))) |
(log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2))) |
(neg.f64 (log.f64 (/.f64 (exp.f64 (cos.f64 x)) (exp.f64 (cos.f64 (+.f64 x eps)))))) |
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (log.f64 (exp.f64 (sin.f64 (fma.f64 1/2 eps x)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (log1p.f64 (expm1.f64 (sin.f64 (fma.f64 1/2 eps x)))))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 1/2 eps x))) 2))) |
(*.f64 -2 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) (pow.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) 3))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))))) |
(*.f64 -2 (/.f64 (*.f64 (*.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (-.f64 (*.f64 1/2 eps) x))) (sin.f64 (*.f64 1/2 eps))) (sin.f64 (-.f64 (*.f64 1/2 eps) x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 1 (*.f64 x (*.f64 x -1/2))))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) |
(-.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x)) |
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))))) |
| Outputs |
|---|
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))))) |
4 calls:
| 69.0ms | eps |
| 57.0ms | x |
| 26.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 25.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | x |
| 0.3b | 1 | eps |
| 0.3b | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 0.3b | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 1197 to 727 computations (39.3% saved)
| Inputs |
|---|
(-.f64 1 1) |
(*.f64 eps (neg.f64 x)) |
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 -2 (*.f64 eps (*.f64 eps 1/4))) |
(-.f64 (cos.f64 eps) 1) |
(*.f64 eps (neg.f64 (sin.f64 x))) |
(-.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 1) 1) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 x x) 1/4 -1/2)) x)) |
(*.f64 -2 (*.f64 eps (+.f64 (*.f64 eps 1/4) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))))) |
(-.f64 (cos.f64 eps) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x))) |
(log.f64 (+.f64 1 (*.f64 -1 (*.f64 eps (sin.f64 x))))) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) |
(*.f64 eps (-.f64 (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 3 (*.f64 1/3 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) |
(*.f64 1/3 (*.f64 3 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (+.f64 x (*.f64 1/2 eps))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (/.f64 (*.f64 eps eps) eps) 1/2))) |
(*.f64 -2 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))))) |
(*.f64 -2 (fma.f64 eps (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) x) (*.f64 (*.f64 eps eps) (+.f64 1/4 (*.f64 x (*.f64 x -1/8)))))) |
(*.f64 -2 (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/12) 1/2))) (*.f64 eps (*.f64 (*.f64 eps (cos.f64 x)) (+.f64 (*.f64 (*.f64 eps eps) -1/48) 1/4))))) |
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) |
(-.f64 (log.f64 (exp.f64 (cos.f64 eps))) 1) |
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) |
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3) |
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) |
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) |
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) 1) |
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x)) |
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (sqrt.f64 (*.f64 1/4 (*.f64 eps eps))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (/.f64 (pow.f64 eps 3) (*.f64 eps eps)) 1/2))) |
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x)))) 1) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (/.f64 1 (/.f64 (*.f64 eps eps) (pow.f64 eps 3))) 1/2))) |
(*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 (cos.f64 (*.f64 eps 1/2)) (*.f64 x -2)) (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 -2 (*.f64 x x))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (fma.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (/.f64 1 (-.f64 x eps)) (neg.f64 x)) 1/2))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (+.f64 (*.f64 1/3 (*.f64 x x)) -2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x x) -2)))) |
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))) |
(log.f64 (exp.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) |
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2)) |
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x)) |
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3) |
(cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) 3)) |
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 eps))))) -1))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) |
(log.f64 (exp.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 x)))) |
(/.f64 (*.f64 -2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (expm1.f64 (log1p.f64 (*.f64 eps 1/2))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (expm1.f64 (log1p.f64 eps)) 1/2))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) (sin.f64 x)))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (pow.f64 (cbrt.f64 (*.f64 eps 1/2)) 3))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))))) |
(log.f64 (exp.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (/.f64 (*.f64 (*.f64 eps eps) 1/2) eps))))) |
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) |
(*.f64 -2 (/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (fma.f64 1/2 eps x))) (cos.f64 (+.f64 (*.f64 1/2 eps) (fma.f64 1/2 eps x)))) 2)) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (sin.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))))) |
(log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2))) |
(neg.f64 (log.f64 (/.f64 (exp.f64 (cos.f64 x)) (exp.f64 (cos.f64 (+.f64 x eps)))))) |
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (log.f64 (exp.f64 (sin.f64 (fma.f64 1/2 eps x)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (log1p.f64 (expm1.f64 (sin.f64 (fma.f64 1/2 eps x)))))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 1/2 eps x))) 2))) |
(*.f64 -2 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) (pow.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) 3))) |
| Outputs |
|---|
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) |
(*.f64 -2 (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/12) 1/2))) (*.f64 eps (*.f64 (*.f64 eps (cos.f64 x)) (+.f64 (*.f64 (*.f64 eps eps) -1/48) 1/4))))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))) |
4 calls:
| 111.0ms | x |
| 104.0ms | eps |
| 75.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 73.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 12.0b | 3 | x |
| 0.4b | 3 | eps |
| 5.5b | 3 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 5.5b | 3 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 1053 to 647 computations (38.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 54.0ms | 5.84481990926427e-6 | 37.15478463497524 |
| 58.0ms | -8476.33423968978 | -9.299715066828676e-10 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
(-.f64 1 1) |
(*.f64 eps (neg.f64 x)) |
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 -2 (*.f64 eps (*.f64 eps 1/4))) |
(-.f64 (cos.f64 eps) 1) |
(*.f64 eps (neg.f64 (sin.f64 x))) |
(-.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 1) 1) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 x x) 1/4 -1/2)) x)) |
(*.f64 -2 (*.f64 eps (+.f64 (*.f64 eps 1/4) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))))) |
(-.f64 (cos.f64 eps) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x))) |
(log.f64 (+.f64 1 (*.f64 -1 (*.f64 eps (sin.f64 x))))) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) |
(*.f64 eps (-.f64 (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 3 (*.f64 1/3 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) |
(*.f64 1/3 (*.f64 3 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (+.f64 x (*.f64 1/2 eps))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (/.f64 (*.f64 eps eps) eps) 1/2))) |
(*.f64 -2 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))))) |
(*.f64 -2 (fma.f64 eps (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) x) (*.f64 (*.f64 eps eps) (+.f64 1/4 (*.f64 x (*.f64 x -1/8)))))) |
(*.f64 -2 (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/12) 1/2))) (*.f64 eps (*.f64 (*.f64 eps (cos.f64 x)) (+.f64 (*.f64 (*.f64 eps eps) -1/48) 1/4))))) |
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) |
(-.f64 (log.f64 (exp.f64 (cos.f64 eps))) 1) |
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) |
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3) |
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) |
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) |
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) 1) |
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x)) |
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (sqrt.f64 (*.f64 1/4 (*.f64 eps eps))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (/.f64 (pow.f64 eps 3) (*.f64 eps eps)) 1/2))) |
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x)))) 1) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (/.f64 1 (/.f64 (*.f64 eps eps) (pow.f64 eps 3))) 1/2))) |
(*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 (cos.f64 (*.f64 eps 1/2)) (*.f64 x -2)) (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 -2 (*.f64 x x))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (fma.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (/.f64 1 (-.f64 x eps)) (neg.f64 x)) 1/2))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (+.f64 (*.f64 1/3 (*.f64 x x)) -2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x x) -2)))) |
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))) |
(log.f64 (exp.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) |
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2)) |
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x)) |
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3) |
(cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) 3)) |
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 eps))))) -1))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) |
(log.f64 (exp.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 x)))) |
(/.f64 (*.f64 -2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (expm1.f64 (log1p.f64 (*.f64 eps 1/2))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (expm1.f64 (log1p.f64 eps)) 1/2))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) (sin.f64 x)))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (pow.f64 (cbrt.f64 (*.f64 eps 1/2)) 3))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))))) |
(log.f64 (exp.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (/.f64 (*.f64 (*.f64 eps eps) 1/2) eps))))) |
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) |
(*.f64 -2 (/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (fma.f64 1/2 eps x))) (cos.f64 (+.f64 (*.f64 1/2 eps) (fma.f64 1/2 eps x)))) 2)) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (sin.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))))) |
(log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2))) |
(neg.f64 (log.f64 (/.f64 (exp.f64 (cos.f64 x)) (exp.f64 (cos.f64 (+.f64 x eps)))))) |
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (log.f64 (exp.f64 (sin.f64 (fma.f64 1/2 eps x)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (log1p.f64 (expm1.f64 (sin.f64 (fma.f64 1/2 eps x)))))) |
| Outputs |
|---|
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) |
(*.f64 -2 (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/12) 1/2))) (*.f64 eps (*.f64 (*.f64 eps (cos.f64 x)) (+.f64 (*.f64 (*.f64 eps eps) -1/48) 1/4))))) |
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) |
4 calls:
| 195.0ms | x |
| 132.0ms | eps |
| 74.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 56.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 12.0b | 3 | x |
| 0.4b | 3 | eps |
| 5.5b | 3 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 5.5b | 3 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 992 to 606 computations (38.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 57.0ms | 5.84481990926427e-6 | 37.15478463497524 |
| 58.0ms | -8476.33423968978 | -9.299715066828676e-10 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
(-.f64 1 1) |
(*.f64 eps (neg.f64 x)) |
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 -2 (*.f64 eps (*.f64 eps 1/4))) |
(-.f64 (cos.f64 eps) 1) |
(*.f64 eps (neg.f64 (sin.f64 x))) |
(-.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 1) 1) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 x x) 1/4 -1/2)) x)) |
(*.f64 -2 (*.f64 eps (+.f64 (*.f64 eps 1/4) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))))) |
(-.f64 (cos.f64 eps) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x))) |
(log.f64 (+.f64 1 (*.f64 -1 (*.f64 eps (sin.f64 x))))) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) |
(*.f64 eps (-.f64 (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 3 (*.f64 1/3 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) |
(*.f64 1/3 (*.f64 3 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (+.f64 x (*.f64 1/2 eps))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (/.f64 (*.f64 eps eps) eps) 1/2))) |
(*.f64 -2 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))))) |
(*.f64 -2 (fma.f64 eps (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) x) (*.f64 (*.f64 eps eps) (+.f64 1/4 (*.f64 x (*.f64 x -1/8)))))) |
(*.f64 -2 (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/12) 1/2))) (*.f64 eps (*.f64 (*.f64 eps (cos.f64 x)) (+.f64 (*.f64 (*.f64 eps eps) -1/48) 1/4))))) |
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) |
(-.f64 (log.f64 (exp.f64 (cos.f64 eps))) 1) |
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) |
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3) |
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) |
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) |
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) 1) |
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x)) |
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (sqrt.f64 (*.f64 1/4 (*.f64 eps eps))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (/.f64 (pow.f64 eps 3) (*.f64 eps eps)) 1/2))) |
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x)))) 1) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (/.f64 1 (/.f64 (*.f64 eps eps) (pow.f64 eps 3))) 1/2))) |
(*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 (cos.f64 (*.f64 eps 1/2)) (*.f64 x -2)) (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 -2 (*.f64 x x))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (fma.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (/.f64 1 (-.f64 x eps)) (neg.f64 x)) 1/2))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (+.f64 (*.f64 1/3 (*.f64 x x)) -2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x x) -2)))) |
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))) |
(log.f64 (exp.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) |
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2)) |
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x)) |
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3) |
(cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) 3)) |
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 eps))))) -1))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) |
(log.f64 (exp.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 x)))) |
(/.f64 (*.f64 -2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (expm1.f64 (log1p.f64 (*.f64 eps 1/2))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (expm1.f64 (log1p.f64 eps)) 1/2))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) (sin.f64 x)))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (pow.f64 (cbrt.f64 (*.f64 eps 1/2)) 3))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))))) |
(log.f64 (exp.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (/.f64 (*.f64 (*.f64 eps eps) 1/2) eps))))) |
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) |
(*.f64 -2 (/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (fma.f64 1/2 eps x))) (cos.f64 (+.f64 (*.f64 1/2 eps) (fma.f64 1/2 eps x)))) 2)) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (sin.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))))) |
(log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2))) |
(neg.f64 (log.f64 (/.f64 (exp.f64 (cos.f64 x)) (exp.f64 (cos.f64 (+.f64 x eps)))))) |
| Outputs |
|---|
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) (sin.f64 x)))) |
4 calls:
| 71.0ms | eps |
| 60.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 37.0ms | x |
| 23.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 13.3b | 1 | x |
| 13.3b | 1 | eps |
| 13.3b | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 13.3b | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 950 to 580 computations (38.9% saved)
| Inputs |
|---|
(-.f64 1 1) |
(*.f64 eps (neg.f64 x)) |
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 -2 (*.f64 eps (*.f64 eps 1/4))) |
(-.f64 (cos.f64 eps) 1) |
(*.f64 eps (neg.f64 (sin.f64 x))) |
(-.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 1) 1) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 x x) 1/4 -1/2)) x)) |
(*.f64 -2 (*.f64 eps (+.f64 (*.f64 eps 1/4) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))))) |
(-.f64 (cos.f64 eps) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x))) |
(log.f64 (+.f64 1 (*.f64 -1 (*.f64 eps (sin.f64 x))))) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) |
(*.f64 eps (-.f64 (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 3 (*.f64 1/3 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) |
(*.f64 1/3 (*.f64 3 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (+.f64 x (*.f64 1/2 eps))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (/.f64 (*.f64 eps eps) eps) 1/2))) |
(*.f64 -2 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))))) |
(*.f64 -2 (fma.f64 eps (*.f64 (fma.f64 -1/12 (*.f64 eps eps) 1/2) x) (*.f64 (*.f64 eps eps) (+.f64 1/4 (*.f64 x (*.f64 x -1/8)))))) |
(*.f64 -2 (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/12) 1/2))) (*.f64 eps (*.f64 (*.f64 eps (cos.f64 x)) (+.f64 (*.f64 (*.f64 eps eps) -1/48) 1/4))))) |
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) |
(-.f64 (log.f64 (exp.f64 (cos.f64 eps))) 1) |
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) |
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3) |
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) |
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) |
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) 1) |
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x)) |
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (sqrt.f64 (*.f64 1/4 (*.f64 eps eps))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (/.f64 (pow.f64 eps 3) (*.f64 eps eps)) 1/2))) |
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x)))) 1) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (/.f64 1 (/.f64 (*.f64 eps eps) (pow.f64 eps 3))) 1/2))) |
(*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 (cos.f64 (*.f64 eps 1/2)) (*.f64 x -2)) (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 -2 (*.f64 x x))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (fma.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (/.f64 1 (-.f64 x eps)) (neg.f64 x)) 1/2))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (+.f64 (*.f64 1/3 (*.f64 x x)) -2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x x) -2)))) |
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))) |
(log.f64 (exp.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) |
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2)) |
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x)) |
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3) |
(cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) 3)) |
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 eps))))) -1))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) |
(log.f64 (exp.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 x)))) |
(/.f64 (*.f64 -2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (expm1.f64 (log1p.f64 (*.f64 eps 1/2))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (expm1.f64 (log1p.f64 eps)) 1/2))) |
| Outputs |
|---|
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (+.f64 x (*.f64 1/2 eps))))) |
4 calls:
| 32.0ms | eps |
| 30.0ms | x |
| 21.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 20.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 13.8b | 1 | x |
| 13.8b | 1 | eps |
| 13.8b | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 13.8b | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 765 to 457 computations (40.3% saved)
| Inputs |
|---|
(-.f64 1 1) |
(*.f64 eps (neg.f64 x)) |
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 -2 (*.f64 eps (*.f64 eps 1/4))) |
(-.f64 (cos.f64 eps) 1) |
(*.f64 eps (neg.f64 (sin.f64 x))) |
(-.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 1) 1) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 x x) 1/4 -1/2)) x)) |
(*.f64 -2 (*.f64 eps (+.f64 (*.f64 eps 1/4) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))))) |
(-.f64 (cos.f64 eps) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x))) |
(log.f64 (+.f64 1 (*.f64 -1 (*.f64 eps (sin.f64 x))))) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) |
(*.f64 eps (-.f64 (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 3 (*.f64 1/3 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) |
(*.f64 1/3 (*.f64 3 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) |
| Outputs |
|---|
(-.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 eps (-.f64 (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
4 calls:
| 39.0ms | x |
| 29.0ms | eps |
| 15.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 13.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 16.0b | 4 | x |
| 13.5b | 3 | eps |
| 14.6b | 2 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 14.6b | 2 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 205 to 133 computations (35.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 63.0ms | 5.84481990926427e-6 | 37.15478463497524 |
| 57.0ms | -8476.33423968978 | -9.299715066828676e-10 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
(-.f64 1 1) |
(*.f64 eps (neg.f64 x)) |
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 -2 (*.f64 eps (*.f64 eps 1/4))) |
(-.f64 (cos.f64 eps) 1) |
(*.f64 eps (neg.f64 (sin.f64 x))) |
(-.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 1) 1) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 x x) 1/4 -1/2)) x)) |
(*.f64 -2 (*.f64 eps (+.f64 (*.f64 eps 1/4) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))))) |
(-.f64 (cos.f64 eps) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x))) |
(log.f64 (+.f64 1 (*.f64 -1 (*.f64 eps (sin.f64 x))))) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) |
| Outputs |
|---|
(-.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 -2 (*.f64 eps (+.f64 (*.f64 eps 1/4) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))))) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
4 calls:
| 33.0ms | x |
| 30.0ms | eps |
| 15.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 12.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 16.0b | 4 | x |
| 13.8b | 3 | eps |
| 15.1b | 2 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 15.1b | 2 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 170 to 106 computations (37.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 54.0ms | 5.84481990926427e-6 | 37.15478463497524 |
| 56.0ms | -8476.33423968978 | -9.299715066828676e-10 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
(-.f64 1 1) |
(*.f64 eps (neg.f64 x)) |
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 -2 (*.f64 eps (*.f64 eps 1/4))) |
(-.f64 (cos.f64 eps) 1) |
(*.f64 eps (neg.f64 (sin.f64 x))) |
(-.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 1) 1) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 x x) 1/4 -1/2)) x)) |
(*.f64 -2 (*.f64 eps (+.f64 (*.f64 eps 1/4) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))))) |
(-.f64 (cos.f64 eps) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Outputs |
|---|
(-.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 -2 (*.f64 eps (+.f64 (*.f64 eps 1/4) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))))) |
(-.f64 (cos.f64 eps) 1) |
4 calls:
| 49.0ms | eps |
| 37.0ms | x |
| 10.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 9.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 23.6b | 5 | x |
| 13.8b | 3 | eps |
| 15.1b | 2 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 15.1b | 2 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 114 to 71 computations (37.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 56.0ms | 5.84481990926427e-6 | 37.15478463497524 |
| 56.0ms | -8476.33423968978 | -9.299715066828676e-10 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
(-.f64 1 1) |
(*.f64 eps (neg.f64 x)) |
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 -2 (*.f64 eps (*.f64 eps 1/4))) |
(-.f64 (cos.f64 eps) 1) |
(*.f64 eps (neg.f64 (sin.f64 x))) |
(-.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 1) 1) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 x x) 1/4 -1/2)) x)) |
(*.f64 -2 (*.f64 eps (+.f64 (*.f64 eps 1/4) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))))) |
| Outputs |
|---|
(-.f64 (cos.f64 eps) 1) |
(*.f64 -2 (*.f64 eps (+.f64 (*.f64 eps 1/4) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))))) |
(-.f64 (cos.f64 eps) 1) |
2 calls:
| 41.0ms | eps |
| 29.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 23.6b | 5 | x |
| 14.2b | 3 | eps |
Compiled 84 to 54 computations (35.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 83.0ms | 5.84481990926427e-6 | 37.15478463497524 |
| 56.0ms | -8476.33423968978 | -9.299715066828676e-10 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
(-.f64 1 1) |
(*.f64 eps (neg.f64 x)) |
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 -2 (*.f64 eps (*.f64 eps 1/4))) |
(-.f64 (cos.f64 eps) 1) |
(*.f64 eps (neg.f64 (sin.f64 x))) |
(-.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 1) 1) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 x x) 1/4 -1/2)) x)) |
| Outputs |
|---|
(-.f64 (cos.f64 eps) 1) |
(*.f64 eps (neg.f64 (sin.f64 x))) |
(-.f64 (cos.f64 eps) 1) |
2 calls:
| 44.0ms | x |
| 19.0ms | eps |
| Error | Segments | Branch |
|---|---|---|
| 23.6b | 5 | x |
| 21.1b | 3 | eps |
Compiled 66 to 43 computations (34.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 57.0ms | 5.84481990926427e-6 | 37.15478463497524 |
| 55.0ms | -5183697436676.89 | -8476.33423968978 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
(-.f64 1 1) |
(*.f64 eps (neg.f64 x)) |
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 -2 (*.f64 eps (*.f64 eps 1/4))) |
(-.f64 (cos.f64 eps) 1) |
| Outputs |
|---|
(-.f64 (cos.f64 eps) 1) |
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 eps (neg.f64 x)) |
(*.f64 -1/2 (*.f64 eps eps)) |
(-.f64 (cos.f64 eps) 1) |
2 calls:
| 21.0ms | eps |
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 39.1b | 3 | x |
| 32.3b | 5 | eps |
Compiled 31 to 22 computations (29% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 54.0ms | 5.84481990926427e-6 | 37.15478463497524 |
| 181.0ms | 8.095387675205318e-113 | 8.965478977096743e-112 |
| 155.0ms | -4.639383753835457e-115 | -2.4255800090464204e-119 |
| 146.0ms | -7.182334796830594e-14 | -2.6594533789835825e-17 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
(-.f64 1 1) |
(*.f64 eps (neg.f64 x)) |
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 -2 (*.f64 eps (*.f64 eps 1/4))) |
| Outputs |
|---|
(*.f64 eps (neg.f64 x)) |
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 eps (neg.f64 x)) |
2 calls:
| 48.0ms | eps |
| 11.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 45.8b | 3 | x |
| 47.4b | 3 | eps |
Compiled 27 to 19 computations (29.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 141.0ms | 6.657910631795708e-101 | 2.599157434023795e-100 |
| 154.0ms | -5.992340108701455e-82 | -1.11506085579991e-87 |
Compiled 14 to 10 computations (28.6% saved)
Total -4.5b remaining (-8.6%)
Threshold costs -4.5b (-8.6%)
| Inputs |
|---|
(-.f64 1 1) |
(*.f64 eps (neg.f64 x)) |
| Outputs |
|---|
(*.f64 eps (neg.f64 x)) |
2 calls:
| 5.0ms | x |
| 3.0ms | eps |
| Error | Segments | Branch |
|---|---|---|
| 51.7b | 1 | x |
| 51.7b | 1 | eps |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
| 268× | distribute-rgt-neg-in_binary64 |
| 202× | cancel-sign-sub-inv_binary64 |
| 187× | distribute-lft-neg-out_binary64 |
| 162× | distribute-lft-neg-in_binary64 |
| 149× | distribute-rgt-neg-out_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 111 | 659 |
| 1 | 176 | 657 |
| 2 | 216 | 657 |
| 3 | 263 | 657 |
| 4 | 348 | 657 |
| 5 | 451 | 657 |
| 6 | 569 | 657 |
| 7 | 733 | 657 |
| 8 | 965 | 657 |
| 9 | 1219 | 657 |
| 10 | 1485 | 657 |
| 11 | 1715 | 657 |
| 12 | 1849 | 657 |
| 13 | 1918 | 657 |
| 14 | 1938 | 657 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))))) |
(if (<=.f64 eps -4659914028727377/549755813888) (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 6900345409479697/1180591620717411303424) (*.f64 -2 (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/12) 1/2))) (*.f64 eps (*.f64 (*.f64 eps (cos.f64 x)) (+.f64 (*.f64 (*.f64 eps eps) -1/48) 1/4))))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))) |
(if (<=.f64 eps -4659914028727377/549755813888) (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 6900345409479697/1180591620717411303424) (*.f64 -2 (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/12) 1/2))) (*.f64 eps (*.f64 (*.f64 eps (cos.f64 x)) (+.f64 (*.f64 (*.f64 eps eps) -1/48) 1/4))))) (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) (sin.f64 x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (+.f64 x (*.f64 1/2 eps))))) |
(if (<=.f64 eps -4659914028727377/549755813888) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 6900345409479697/1180591620717411303424) (*.f64 eps (-.f64 (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) |
(if (<=.f64 eps -4659914028727377/549755813888) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 6900345409479697/1180591620717411303424) (*.f64 -2 (*.f64 eps (+.f64 (*.f64 eps 1/4) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))))) (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) |
(if (<=.f64 eps -4659914028727377/549755813888) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 6900345409479697/1180591620717411303424) (*.f64 -2 (*.f64 eps (+.f64 (*.f64 eps 1/4) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))))) (-.f64 (cos.f64 eps) 1))) |
(if (<=.f64 eps -4659914028727377/549755813888) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 6900345409479697/1180591620717411303424) (*.f64 -2 (*.f64 eps (+.f64 (*.f64 eps 1/4) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))))) (-.f64 (cos.f64 eps) 1))) |
(if (<=.f64 eps -5308106175157135/1024) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 6900345409479697/1180591620717411303424) (*.f64 eps (neg.f64 (sin.f64 x))) (-.f64 (cos.f64 eps) 1))) |
(if (<=.f64 eps -5690431885151500/79228162514264337593543950336) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -2572695746731207/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (*.f64 -1/2 (*.f64 eps eps)) (if (<=.f64 eps 7014323771625295/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (*.f64 eps (neg.f64 x)) (if (<=.f64 eps 6900345409479697/1180591620717411303424) (*.f64 -1/2 (*.f64 eps eps)) (-.f64 (cos.f64 eps) 1))))) |
(if (<=.f64 x -2559912157403041/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (*.f64 eps (neg.f64 x)) (if (<=.f64 x 5246700719381103/78804012392788958424558080200287227610159478540930893335896586808491443542994421222828532509769831281613255980613632) (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps (neg.f64 x)))) |
(*.f64 eps (neg.f64 x)) |
(-.f64 1 1) |
| Outputs |
|---|
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)))))) |
(if (<=.f64 eps -4659914028727377/549755813888) (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 6900345409479697/1180591620717411303424) (*.f64 -2 (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/12) 1/2))) (*.f64 eps (*.f64 (*.f64 eps (cos.f64 x)) (+.f64 (*.f64 (*.f64 eps eps) -1/48) 1/4))))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))) |
(if (<=.f64 eps -4659914028727377/549755813888) (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 6900345409479697/1180591620717411303424) (*.f64 -2 (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 (*.f64 eps eps) -1/12)))) (*.f64 eps (*.f64 (*.f64 eps (cos.f64 x)) (+.f64 (*.f64 (*.f64 eps eps) -1/48) 1/4))))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))) |
(if (<=.f64 eps -4659914028727377/549755813888) (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 6900345409479697/1180591620717411303424) (*.f64 -2 (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 (*.f64 eps eps) -1/12)))) (*.f64 eps (*.f64 (*.f64 eps (cos.f64 x)) (+.f64 (*.f64 (*.f64 eps eps) -1/48) 1/4))))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))) |
(if (<=.f64 eps -4659914028727377/549755813888) (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 6900345409479697/1180591620717411303424) (*.f64 -2 (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/12) 1/2))) (*.f64 eps (*.f64 (*.f64 eps (cos.f64 x)) (+.f64 (*.f64 (*.f64 eps eps) -1/48) 1/4))))) (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))) |
(if (<=.f64 eps -4659914028727377/549755813888) (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 6900345409479697/1180591620717411303424) (*.f64 -2 (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 (*.f64 eps eps) -1/12)))) (*.f64 eps (*.f64 (*.f64 eps (cos.f64 x)) (+.f64 (*.f64 (*.f64 eps eps) -1/48) 1/4))))) (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) (sin.f64 x)))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (sin.f64 x) (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (+.f64 x (*.f64 1/2 eps))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (+.f64 (*.f64 1/2 eps) x)))) |
(if (<=.f64 eps -4659914028727377/549755813888) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 6900345409479697/1180591620717411303424) (*.f64 eps (-.f64 (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) |
(if (<=.f64 eps -4659914028727377/549755813888) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 6900345409479697/1180591620717411303424) (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) |
(if (<=.f64 eps -4659914028727377/549755813888) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 6900345409479697/1180591620717411303424) (*.f64 -2 (*.f64 eps (+.f64 (*.f64 eps 1/4) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))))) (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) |
(if (<=.f64 eps -4659914028727377/549755813888) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 6900345409479697/1180591620717411303424) (*.f64 -2 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 (*.f64 eps eps) -1/12))) (*.f64 eps 1/4)))) (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) |
(if (<=.f64 eps -4659914028727377/549755813888) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 6900345409479697/1180591620717411303424) (*.f64 -2 (*.f64 eps (+.f64 (*.f64 eps 1/4) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))))) (-.f64 (cos.f64 eps) 1))) |
(if (<=.f64 eps -4659914028727377/549755813888) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 6900345409479697/1180591620717411303424) (*.f64 -2 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 (*.f64 eps eps) -1/12))) (*.f64 eps 1/4)))) (+.f64 (cos.f64 eps) -1))) |
(if (<=.f64 eps -4659914028727377/549755813888) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 6900345409479697/1180591620717411303424) (*.f64 -2 (*.f64 eps (+.f64 (*.f64 eps 1/4) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))))) (-.f64 (cos.f64 eps) 1))) |
(if (<=.f64 eps -4659914028727377/549755813888) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps 6900345409479697/1180591620717411303424) (*.f64 -2 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 (*.f64 eps eps) -1/12))) (*.f64 eps 1/4)))) (+.f64 (cos.f64 eps) -1))) |
(if (<=.f64 eps -5308106175157135/1024) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 6900345409479697/1180591620717411303424) (*.f64 eps (neg.f64 (sin.f64 x))) (-.f64 (cos.f64 eps) 1))) |
(if (<=.f64 eps -5308106175157135/1024) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps 6900345409479697/1180591620717411303424) (*.f64 eps (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) -1))) |
(if (<=.f64 eps -5308106175157135/1024) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps 6900345409479697/1180591620717411303424) (*.f64 (neg.f64 eps) (sin.f64 x)) (+.f64 (cos.f64 eps) -1))) |
(if (<=.f64 eps -5308106175157135/1024) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps 6900345409479697/1180591620717411303424) (*.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 (cos.f64 eps) -1))) |
(if (<=.f64 eps -5690431885151500/79228162514264337593543950336) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -2572695746731207/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (*.f64 -1/2 (*.f64 eps eps)) (if (<=.f64 eps 7014323771625295/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (*.f64 eps (neg.f64 x)) (if (<=.f64 eps 6900345409479697/1180591620717411303424) (*.f64 -1/2 (*.f64 eps eps)) (-.f64 (cos.f64 eps) 1))))) |
(if (<=.f64 eps -1422607971287875/19807040628566084398385987584) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps -2572695746731207/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (*.f64 (*.f64 eps eps) -1/2) (if (<=.f64 eps 7014323771625295/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (neg.f64 (*.f64 eps x)) (if (<=.f64 eps 6900345409479697/1180591620717411303424) (*.f64 (*.f64 eps eps) -1/2) (+.f64 (cos.f64 eps) -1))))) |
(if (<=.f64 eps -1422607971287875/19807040628566084398385987584) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps -2572695746731207/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (*.f64 (*.f64 eps eps) -1/2) (if (<=.f64 eps 7014323771625295/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (*.f64 (neg.f64 eps) x) (if (<=.f64 eps 6900345409479697/1180591620717411303424) (*.f64 (*.f64 eps eps) -1/2) (+.f64 (cos.f64 eps) -1))))) |
(if (<=.f64 eps -1422607971287875/19807040628566084398385987584) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps -2572695746731207/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (*.f64 (*.f64 eps eps) -1/2) (if (<=.f64 eps 7014323771625295/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (*.f64 x (neg.f64 eps)) (if (<=.f64 eps 6900345409479697/1180591620717411303424) (*.f64 (*.f64 eps eps) -1/2) (+.f64 (cos.f64 eps) -1))))) |
(if (<=.f64 eps -1422607971287875/19807040628566084398385987584) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps -2572695746731207/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (*.f64 (*.f64 eps eps) -1/2) (if (<=.f64 eps 7014323771625295/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (*.f64 eps (neg.f64 x)) (if (<=.f64 eps 6900345409479697/1180591620717411303424) (*.f64 (*.f64 eps eps) -1/2) (+.f64 (cos.f64 eps) -1))))) |
(if (<=.f64 x -2559912157403041/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (*.f64 eps (neg.f64 x)) (if (<=.f64 x 5246700719381103/78804012392788958424558080200287227610159478540930893335896586808491443542994421222828532509769831281613255980613632) (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps (neg.f64 x)))) |
(if (<=.f64 x -2559912157403041/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (neg.f64 (*.f64 eps x)) (if (<=.f64 x 5246700719381103/78804012392788958424558080200287227610159478540930893335896586808491443542994421222828532509769831281613255980613632) (*.f64 (*.f64 eps eps) -1/2) (neg.f64 (*.f64 eps x)))) |
(if (<=.f64 x -2559912157403041/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (*.f64 (neg.f64 eps) x) (if (<=.f64 x 5246700719381103/78804012392788958424558080200287227610159478540930893335896586808491443542994421222828532509769831281613255980613632) (*.f64 (*.f64 eps eps) -1/2) (*.f64 (neg.f64 eps) x))) |
(if (<=.f64 x -2559912157403041/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (*.f64 x (neg.f64 eps)) (if (<=.f64 x 5246700719381103/78804012392788958424558080200287227610159478540930893335896586808491443542994421222828532509769831281613255980613632) (*.f64 (*.f64 eps eps) -1/2) (*.f64 x (neg.f64 eps)))) |
(if (<=.f64 x -2559912157403041/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (*.f64 eps (neg.f64 x)) (if (<=.f64 x 5246700719381103/78804012392788958424558080200287227610159478540930893335896586808491443542994421222828532509769831281613255980613632) (*.f64 (*.f64 eps eps) -1/2) (*.f64 eps (neg.f64 x)))) |
(*.f64 eps (neg.f64 x)) |
(neg.f64 (*.f64 eps x)) |
(*.f64 (neg.f64 eps) x) |
(*.f64 x (neg.f64 eps)) |
(-.f64 1 1) |
0 |
| 1× | fuel |
Compiled 888 to 534 computations (39.9% saved)
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